Details

analyze56.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.6s (10.8%)

Results

1.5s

8256×

body

256

valid

preprocess96.0ms (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)

simplify141.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

4.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.6b	(/.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))))
▶	4.6b	(/.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))

Status

Error

Program

▶

11.6b

(/.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))))

▶

4.6b

(/.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))

Compiler

Compiled 64 to 43 computations (32.8% saved)

localize89.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))
✓	0.1b	(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))
✓	11.5b	(/.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))))

New

Error

Program

✓

0.0b

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

✓

0.1b

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

✓

11.5b

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

Compiler

Compiled 89 to 54 computations (39.3% saved)

series24.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite135.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	78
1	397	66
2	6651	66

Stop Event

1×	node limit

Counts

3 → 140

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))

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))

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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Outputs

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

simplify116.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

497×	`distribute-rgt-in_binary64`
487×	`distribute-lft-in_binary64`
407×	`fma-def_binary64`
326×	`associate-+r+_binary64`
276×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	5364
1	1346	4848
2	7170	4797

Stop Event

1×	node limit

Counts

212 → 244

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

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

localize35.0ms (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 (+.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))
✓	4.3b	(/.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)

series82.0ms (0.6%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
60.0ms	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	@	-inf	(/.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)))
2.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))

rewrite111.0ms (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	100
1	349	82
2	5771	82

Stop Event

1×	node limit

Counts

4 → 160

Calls

Call 1

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

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

simplify111.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

712×	`distribute-rgt-in_binary64`
704×	`distribute-lft-in_binary64`
492×	`fma-def_binary64`
281×	`times-frac_binary64`
273×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	567	8184
1	2208	7723

Stop Event

1×	node limit

Counts

256 → 300

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

eval837.0ms (5.7%)

Compiler: Compiled 30007 to 21687 computations (27.7% saved)

prune121.0ms (0.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	523	21	544
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	525	21	546

Error

Counts

546 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.7b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
	1.9b	(.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))))
	62.1b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
	22.6b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
▶	11.6b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 3 alpha) beta) 2))))
	35.4b	(/.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 alpha 3))
	35.8b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
▶	28.9b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	5.3b	(.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))))
	16.3b	(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	6.2b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 2) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))) (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 alpha (+.f64 beta 3)))))
	1.9b	(.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))))
	62.1b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
▶	2.0b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
	62.7b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	32.0b	(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	5.3b	(/.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))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 3))
	12.3b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
	26.5b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	2.6b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta)))) 3)
▶	38.3b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))

Compiler

Compiled 1068 to 764 computations (28.5% saved)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))
✓	0.1b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
✓	4.2b	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
✓	15.1b	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))

Compiler

Compiled 112 to 76 computations (32.1% saved)

series63.0ms (0.4%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	0	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
5.0ms	alpha	@	0	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
4.0ms	beta	@	inf	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
4.0ms	beta	@	0	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
4.0ms	alpha	@	inf	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))

rewrite183.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

402×	`fma-neg_binary64`
366×	`log1p-udef_binary64`
365×	`expm1-udef_binary64`
213×	`add-sqr-sqrt_binary64`
207×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	116
1	411	97
2	6609	97

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 beta) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 beta)) (.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.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 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (sqrt.f64 (+.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)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.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)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.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) (sqrt.f64 (+.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 (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (/.f64 (+.f64 1 beta) (cbrt.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (cbrt.f64 (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (+.f64 1 beta) (sqrt.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 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simplify134.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

619×	`distribute-rgt-in_binary64`
613×	`distribute-lft-in_binary64`
576×	`fma-def_binary64`
381×	`associate-r_binary64`
356×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	509	7482
1	1955	7107

Stop Event

1×	node limit

Counts

221 → 265

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.0b	(/.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))
1.0ms	beta	@	inf	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.0ms	alpha	@	inf	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

rewrite64.0ms (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))))))))

simplify173.0ms (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))

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 beta beta))
✓	11.5b	(/.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)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	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)))

rewrite97.0ms (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

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

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
✓	0.0b	(/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 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))))
✓	18.9b	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))

Compiler

Compiled 89 to 59 computations (33.7% saved)

series20.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite133.0ms (0.9%)

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

simplify104.0ms (0.7%)

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)))))
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(+.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))))
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(+.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 (+.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)))

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

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 3 alpha) beta) 2))
✓	0.0b	(*.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 alpha beta))
✓	0.1b	(.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 3 alpha) beta) 2)))
✓	11.5b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 3 alpha) beta) 2))))

Compiler

Compiled 126 to 78 computations (38.1% saved)

series30.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	alpha	@	0	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 3 alpha) beta) 2))))
4.0ms	beta	@	0	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 3 alpha) beta) 2))))
3.0ms	alpha	@	-inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 3 alpha) beta) 2))))
2.0ms	beta	@	-inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 3 alpha) beta) 2))))
2.0ms	alpha	@	inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 3 alpha) beta) 2))))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

255×	`add-sqr-sqrt_binary64`
250×	`*-un-lft-identity_binary64`
250×	`pow1_binary64`
239×	`add-cbrt-cube_binary64`
239×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	91
1	482	79

Stop Event

1×	node limit

Counts

4 → 204

Calls

Call 1

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

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

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

606×	`distribute-rgt-in_binary64`
600×	`distribute-lft-in_binary64`
519×	`fma-def_binary64`
444×	`associate-+r+_binary64`
374×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	370	6784
1	1600	5761

Stop Event

1×	node limit

Counts

300 → 338

Calls

Call 1

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

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

eval1.9s (13.1%)

Compiler: Compiled 60362 to 44279 computations (26.6% saved)

prune229.0ms (1.6%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	1165	17	1182
Fresh	11	5	16
Picked	1	0	1
Done	3	1	4
Total	1180	23	1203

Error

Counts

1203 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	32.0b	(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	28.6b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
	8.0b	(/.f64 (+.f64 1 beta) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))))
	33.8b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 (+.f64 3 alpha) alpha) (*.f64 2 (+.f64 3 alpha))) (+.f64 2 alpha)))
▶	30.7b	(/.f64 1 (*.f64 beta beta))
▶	42.0b	(/.f64 (+.f64 1 alpha) (.f64 beta (.f64 beta (+.f64 2 alpha))))
	22.6b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	35.4b	(/.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 alpha 3))
▶	1.3b	(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))) 3))
✓	28.9b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
▶	39.4b	(.f64 1 (/.f64 (+.f64 1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
	36.0b	(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
	5.3b	(.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))))
	26.5b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	28.8b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 beta (+.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 1 beta) beta))
	62.6b	(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
	62.7b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	62.1b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
	26.5b	(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 beta))
	27.1b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	9.9b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 (.f64 beta (+.f64 beta 3)) (*.f64 2 (+.f64 beta 3))) (+.f64 beta 2)))
▶	1.9b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
	40.7b	(/.f64 (/.f64 alpha beta) beta)

Compiler

Compiled 799 to 576 computations (27.9% saved)

localize59.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta)))
✓	0.1b	(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))) 3))
✓	0.7b	(cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))
✓	0.8b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))) 3)

Compiler

Compiled 132 to 90 computations (31.8% saved)

series131.0ms (0.9%)

Counts

3 → 40

Calls

18 calls:

Time	Variable		Point	Expression
23.0ms	beta	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))) 3)
19.0ms	beta	@	0	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))) 3)
18.0ms	beta	@	inf	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))) 3)
16.0ms	alpha	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))) 3)
14.0ms	alpha	@	inf	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))) 3)

rewrite127.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

411×	`log1p-udef_binary64`
239×	`add-sqr-sqrt_binary64`
233×	`pow1_binary64`
232×	`*-un-lft-identity_binary64`
225×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	83
1	504	77
2	7524	77

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 beta) (*.f64 (+.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 3)) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 beta) -1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (neg.f64 (+.f64 beta alpha)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (+.f64 (neg.f64 (+.f64 beta alpha)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 beta 3)) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (-.f64 (*.f64 beta beta) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 beta beta)) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify155.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

718×	`distribute-rgt-in_binary64`
712×	`distribute-lft-in_binary64`
527×	`fma-def_binary64`
516×	`associate-l_binary64`
321×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	537	13323
1	2211	12701

Stop Event

1×	node limit

Counts

200 → 236

Calls

Call 1

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

Outputs
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(+.f64 (.f64 beta (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 4))) 1/9) (-.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 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 4))) 1/9) (-.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 (pow.f64 1 1/3) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(fma.f64 beta (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 alpha 3) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 alpha 3) 4))) 1/18)) (-.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)))))) 1) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))))
(fma.f64 beta (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 alpha 3) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 alpha 3) 4))) 1/18)) (-.f64 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (fma.f64 2 (/.f64 alpha (.f64 (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 1 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))))
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(+.f64 (fma.f64 beta (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 alpha 3) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 alpha 3) 4))) 1/18)) (-.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)))))) 1) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 (.f64 beta beta) (fma.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (fma.f64 -2/3 (.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)) 1/18) (pow.f64 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)) 1/18)) (pow.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))))) 2)) (+.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))))) (cbrt.f64 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 1/9 (.f64 (pow.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))))) 2) (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 alpha 3) 4)) 1/18) (pow.f64 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 alpha 3) 4)) 1/18))))) (fma.f64 -1/3 (.f64 1 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)) 1/18) (pow.f64 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)) 1/18)) (pow.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))))) 2)) (+.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 (.f64 2/9 (.f64 (pow.f64 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)) 1/18) (pow.f64 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)) 1/18))) (pow.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))))) 2))))))
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(+.f64 (/.f64 1 (.f64 beta beta)) (-.f64 (-.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (pow.f64 beta 3))) (/.f64 (neg.f64 (fma.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))) (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (.f64 (+.f64 1 alpha) (-.f64 (.f64 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) -2)) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))))
(+.f64 (/.f64 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))))) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))))) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))))))
(+.f64 (/.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (/.f64 (pow.f64 beta 5) (.f64 -1 (+.f64 (.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (.f64 -1 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (.f64 (+.f64 1 alpha) (fma.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2)))))))) (fma.f64 -1 (/.f64 (fma.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 5) (.f64 -1 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))))) (+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 -1 (/.f64 (.f64 -1 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 beta beta)) (neg.f64 (/.f64 (.f64 -1 (+.f64 (.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (.f64 -1 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (.f64 (+.f64 1 alpha) (fma.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))))))
(+.f64 (.f64 (/.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))) (pow.f64 beta 5)) (neg.f64 (fma.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))) (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (.f64 (+.f64 1 alpha) (-.f64 (.f64 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) -2)) (pow.f64 (+.f64 2 alpha) 2)))))) (-.f64 (+.f64 (/.f64 1 (.f64 beta beta)) (-.f64 (-.f64 (-.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (neg.f64 (fma.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))) (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (.f64 (+.f64 1 alpha) (-.f64 (.f64 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) -2)) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))) (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 5)) (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (pow.f64 beta 3)))) (.f64 (/.f64 (-.f64 (.f64 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) -2)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 5)) (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))))))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 beta beta))

Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite42.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

405×	`pow1_binary64`
391×	`add-sqr-sqrt_binary64`
382×	`*-un-lft-identity_binary64`
377×	`add-log-exp_binary64`
376×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	4
2	1163	4

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify164.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1118×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`fabs-mul_binary64`
560×	`cube-prod_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	19	84
3	34	84
4	74	84
5	220	84
6	819	84
7	2028	84
8	2194	84
9	2378	84
10	2586	84
11	2885	84
12	3278	84
13	3759	84
14	4327	84
15	5017	84
16	5856	84
17	6252	84
18	6542	84
19	6816	84
20	6890	84
21	6924	84

Stop Event

1×	node limit

Counts

50 → 40

Calls

Call 1

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

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 beta (.f64 beta (+.f64 2 alpha)))
✓	0.0b	(*.f64 beta (+.f64 2 alpha))
✓	1.0b	(/.f64 (+.f64 1 alpha) (.f64 beta (.f64 beta (+.f64 2 alpha))))

Compiler

Compiled 35 to 22 computations (37.1% saved)

series8.0ms (0.1%)

Counts

3 → 60

Calls

18 calls:

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

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`log-prod_binary64`
404×	`pow-prod-down_binary64`
294×	`prod-diff_binary64`
291×	`pow2_binary64`
248×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	226	33
2	3302	33

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

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

Outputs

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

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

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

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

729×	`associate-/r*_binary64`
551×	`distribute-neg-frac_binary64`
461×	`fma-neg_binary64`
418×	`associate-l_binary64`
397×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	828
1	131	817
2	352	813
3	1133	785
4	6226	781

Stop Event

1×	node limit

Counts

191 → 161

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
	18.9b	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))

Compiler

Compiled 69 to 46 computations (33.3% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))
✓	0.0b	(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))
✓	0.0b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
✓	1.9b	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 89 to 59 computations (33.7% saved)

series18.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite117.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

442×	`fma-neg_binary64`
361×	`log1p-udef_binary64`
360×	`expm1-udef_binary64`
209×	`add-sqr-sqrt_binary64`
204×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	397	82
2	6698	82

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha (+.f64 2 beta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha (+.f64 2 beta))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha (+.f64 2 beta))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 (.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 alpha 1)) (.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 1 (.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (.f64 (+.f64 alpha (+.f64 3 beta)) (neg.f64 (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 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simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	527	7826
1	2144	7301

Stop Event

1×	node limit

Counts

283 → 333

Calls

Call 1

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

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

eval1.7s (11.9%)

Compiler: Compiled 52092 to 39572 computations (24% saved)

prune233.0ms (1.6%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	987	12	999
Fresh	7	10	17
Picked	1	0	1
Done	3	2	5
Total	998	24	1022

Error

Counts

1022 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	4.4b	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
	42.0b	(/.f64 1/2 (*.f64 beta beta))
	33.8b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 (+.f64 3 alpha) alpha) (*.f64 2 (+.f64 3 alpha))) (+.f64 2 alpha)))
✓	30.7b	(/.f64 1 (*.f64 beta beta))
▶	28.7b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta)))
	30.5b	(pow.f64 beta -2)
▶	3.9b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 3 beta) (+.f64 2 beta)))) 3))
	24.4b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) 1)
	8.0b	(/.f64 (+.f64 1 beta) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))))
	35.4b	(/.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 alpha 3))
✓	28.9b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	5.3b	(.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))))
▶	26.5b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	30.6b	(*.f64 (/.f64 1 beta) (/.f64 1 beta))
	36.0b	(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
	39.4b	(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
▶	62.6b	(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
	40.7b	(/.f64 (/.f64 alpha beta) beta)
	56.7b	(.f64 1 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
	9.9b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 (.f64 beta (+.f64 beta 3)) (*.f64 2 (+.f64 beta 3))) (+.f64 beta 2)))
▶	60.2b	(*.f64 1 (/.f64 1 beta))
	31.8b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (.f64 2 alpha))))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
	62.1b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
	26.5b	(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 beta))

Compiler

Compiled 770 to 565 computations (26.6% saved)

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 3 beta) (+.f64 2 beta)))) 3))
✓	0.8b	(cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 3 beta) (+.f64 2 beta))))
✓	0.8b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 3 beta) (+.f64 2 beta)))) 3)
✓	18.9b	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 3 beta) (+.f64 2 beta)))

Compiler

Compiled 101 to 73 computations (27.7% saved)

series19.0ms (0.1%)

Counts

4 → 44

Calls

15 calls:

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

rewrite120.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`fma-def_binary64`
339×	`log1p-udef_binary64`
338×	`expm1-udef_binary64`
320×	`fma-neg_binary64`
200×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	81
1	410	81
2	6113	81

Stop Event

1×	node limit

Counts

4 → 204

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 beta) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2)) 1/6) (.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2)) 1/6) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 beta)) (.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 beta) -1) (/.f64 1 (.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))) 2)) 3) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2)) 1/6) 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 3) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta 3)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (+.f64 beta 3)) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 1 beta) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (+.f64 beta 2)) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta (-.f64 beta 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 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simplify174.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

754×	`times-frac_binary64`
280×	`distribute-rgt-in_binary64`
279×	`distribute-lft-in_binary64`
276×	`fma-def_binary64`
262×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	328	3500
1	1155	3416
2	4890	3274

Stop Event

1×	node limit

Counts

248 → 229

Calls

Call 1

Inputs
1/6
(+.f64 1/6 (*.f64 1/36 beta))
(+.f64 (.f64 -11/216 (pow.f64 beta 2)) (+.f64 1/6 (.f64 1/36 beta)))
(+.f64 (.f64 -11/216 (pow.f64 beta 2)) (+.f64 1/6 (+.f64 (.f64 49/1296 (pow.f64 beta 3)) (*.f64 1/36 beta))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 14 (/.f64 1 (pow.f64 beta 3)))) (.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 14 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 46 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 14 (/.f64 1 (pow.f64 beta 3)))) (.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 14 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 46 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))))
1/6
(+.f64 1/6 (.f64 beta (+.f64 (.f64 1/54 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3)) (.f64 1/108 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3)))))
(+.f64 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/5832 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) (+.f64 (.f64 (+.f64 (.f64 1/11664 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3)) (.f64 -2/3 (/.f64 (+.f64 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) 11/216) (cbrt.f64 1/6)))) (cbrt.f64 1/6)) (.f64 -1/3 (+.f64 11/216 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3))))))) (+.f64 1/6 (.f64 beta (+.f64 (.f64 1/54 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3)) (.f64 1/108 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3))))))
(+.f64 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/5832 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) (+.f64 (.f64 (+.f64 (.f64 1/11664 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3)) (.f64 -2/3 (/.f64 (+.f64 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) 11/216) (cbrt.f64 1/6)))) (cbrt.f64 1/6)) (.f64 -1/3 (+.f64 11/216 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3))))))) (+.f64 1/6 (+.f64 (.f64 beta (+.f64 (.f64 1/54 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3)) (.f64 1/108 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3)))) (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1/162 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)) 1/3) (+.f64 11/216 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3))))) (+.f64 (.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 49/1296 (+.f64 (.f64 1/1259712 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2))) (.f64 -1/54 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)) 1/3) (+.f64 11/216 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3))))))) (cbrt.f64 1/6))) (.f64 -1/162 (.f64 (+.f64 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) 11/216) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 8)) 1/3)))) (cbrt.f64 1/6)) (+.f64 (.f64 1/3 (-.f64 49/1296 (+.f64 (.f64 1/1259712 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2))) (.f64 -1/54 (.f64 (+.f64 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) 11/216) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)) 1/3)))))) (.f64 1/108 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2)) 1/3) (+.f64 (.f64 1/11664 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3)) (.f64 -2/3 (/.f64 (+.f64 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) 11/216) (cbrt.f64 1/6)))))))))))))
(cbrt.f64 1/6)
(+.f64 (.f64 1/108 (.f64 beta (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2)) 1/3))) (cbrt.f64 1/6))
(+.f64 (.f64 1/108 (.f64 beta (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2)) 1/3))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (*.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) 11/216) (pow.f64 beta 2)) (pow.f64 (cbrt.f64 1/6) 2))) (cbrt.f64 1/6)))
(+.f64 (.f64 1/108 (.f64 beta (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 49/1296 (+.f64 (.f64 1/1259712 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2))) (.f64 -1/54 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)) 1/3) (+.f64 11/216 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3))))))) (pow.f64 beta 3)) (pow.f64 (cbrt.f64 1/6) 2))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (*.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) 11/216) (pow.f64 beta 2)) (pow.f64 (cbrt.f64 1/6) 2))) (cbrt.f64 1/6))))
(/.f64 (+.f64 beta 1) (*.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 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) alpha) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 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 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) alpha) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 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 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) alpha) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))))) (pow.f64 alpha 3)) (+.f64 (/.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 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (/.f64 beta (.f64 (+.f64 beta 3) alpha))))
(-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (/.f64 beta (.f64 (+.f64 beta 3) alpha))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (/.f64 beta (*.f64 (+.f64 beta 3) alpha))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3)))) alpha)) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3)))) alpha)) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3)))) alpha)) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3))))) (pow.f64 alpha 2)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 1/36 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 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 7 alpha)) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (.f64 (+.f64 7 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 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 alpha)) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha))) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (+.f64 (.f64 -1 (.f64 (+.f64 7 alpha) (+.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (.f64 (+.f64 7 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 alpha))))))) (.f64 6 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (.f64 (+.f64 7 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 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 alpha)) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 7 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 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (+.f64 7 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (-.f64 (.f64 -5 (+.f64 2 alpha)) 6)) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -6 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (+.f64 7 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (-.f64 (.f64 -5 (+.f64 2 alpha)) 6)))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (.f64 (+.f64 7 alpha) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (+.f64 7 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (-.f64 (.f64 -5 (+.f64 2 alpha)) 6))))) (pow.f64 beta 5))))))))

Outputs
1/6
(+.f64 1/6 (*.f64 1/36 beta))
(fma.f64 1/36 beta 1/6)
(+.f64 (.f64 -11/216 (pow.f64 beta 2)) (+.f64 1/6 (.f64 1/36 beta)))
(fma.f64 -11/216 (.f64 beta beta) (+.f64 1/6 (.f64 1/36 beta)))
(fma.f64 -11/216 (*.f64 beta beta) (fma.f64 1/36 beta 1/6))
(+.f64 (.f64 -11/216 (pow.f64 beta 2)) (+.f64 1/6 (+.f64 (.f64 49/1296 (pow.f64 beta 3)) (*.f64 1/36 beta))))
(fma.f64 -11/216 (.f64 beta beta) (+.f64 1/6 (fma.f64 49/1296 (pow.f64 beta 3) (.f64 1/36 beta))))
(+.f64 (fma.f64 49/1296 (pow.f64 beta 3) (.f64 1/36 beta)) (fma.f64 -11/216 (.f64 beta beta) 1/6))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 4 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -4 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 14 (/.f64 1 (pow.f64 beta 3)))) (.f64 4 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 14 (pow.f64 beta 3)) (/.f64 4 (*.f64 beta beta))))
(+.f64 (/.f64 14 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -4 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 14 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 46 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 14 (pow.f64 beta 3)) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 46 (pow.f64 beta 4)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 14 (pow.f64 beta 3)) (-.f64 (/.f64 -4 (*.f64 beta beta)) (/.f64 46 (pow.f64 beta 4)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 4 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -4 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 14 (/.f64 1 (pow.f64 beta 3)))) (.f64 4 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 14 (pow.f64 beta 3)) (/.f64 4 (*.f64 beta beta))))
(+.f64 (/.f64 14 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -4 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 14 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 46 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 14 (pow.f64 beta 3)) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 46 (pow.f64 beta 4)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 14 (pow.f64 beta 3)) (-.f64 (/.f64 -4 (*.f64 beta beta)) (/.f64 46 (pow.f64 beta 4)))))
1/6
(+.f64 1/6 (.f64 beta (+.f64 (.f64 1/54 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3)) (.f64 1/108 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3)))))
(+.f64 1/6 (.f64 beta (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/6) 4)) 1/36)))
(fma.f64 beta (*.f64 1/36 (cbrt.f64 (pow.f64 (cbrt.f64 1/6) 4))) 1/6)
(fma.f64 beta (.f64 1/36 (cbrt.f64 (.f64 1/6 (cbrt.f64 1/6)))) 1/6)
(+.f64 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/5832 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) (+.f64 (.f64 (+.f64 (.f64 1/11664 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3)) (.f64 -2/3 (/.f64 (+.f64 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) 11/216) (cbrt.f64 1/6)))) (cbrt.f64 1/6)) (.f64 -1/3 (+.f64 11/216 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3))))))) (+.f64 1/6 (.f64 beta (+.f64 (.f64 1/54 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3)) (.f64 1/108 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3))))))
(fma.f64 (.f64 beta beta) (fma.f64 1/5832 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) (fma.f64 (fma.f64 1/11664 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 4))) (.f64 -2/3 (/.f64 (fma.f64 1/3888 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 11/216) (cbrt.f64 1/6)))) (cbrt.f64 1/6) (.f64 (fma.f64 1/3888 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 11/216) -1/3))) (+.f64 1/6 (.f64 beta (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/6) 4)) 1/36))))
(fma.f64 (.f64 beta beta) (fma.f64 1/5832 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) (fma.f64 (cbrt.f64 1/6) (fma.f64 1/11664 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 4))) (/.f64 -2/3 (/.f64 (cbrt.f64 1/6) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 1/3888 11/216)))) (+.f64 -11/648 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) -1/11664)))) (fma.f64 beta (*.f64 1/36 (cbrt.f64 (pow.f64 (cbrt.f64 1/6) 4))) 1/6))
(fma.f64 (.f64 beta beta) (fma.f64 1/5832 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) (fma.f64 (cbrt.f64 1/6) (fma.f64 1/11664 (cbrt.f64 (/.f64 1 (.f64 1/6 (cbrt.f64 1/6)))) (/.f64 -2/3 (/.f64 (cbrt.f64 1/6) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 1/3888 11/216)))) (+.f64 -11/648 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) -1/11664)))) (fma.f64 beta (.f64 1/36 (cbrt.f64 (*.f64 1/6 (cbrt.f64 1/6)))) 1/6))
(+.f64 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/5832 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) (+.f64 (.f64 (+.f64 (.f64 1/11664 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3)) (.f64 -2/3 (/.f64 (+.f64 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) 11/216) (cbrt.f64 1/6)))) (cbrt.f64 1/6)) (.f64 -1/3 (+.f64 11/216 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3))))))) (+.f64 1/6 (+.f64 (.f64 beta (+.f64 (.f64 1/54 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3)) (.f64 1/108 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3)))) (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1/162 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)) 1/3) (+.f64 11/216 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3))))) (+.f64 (.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 49/1296 (+.f64 (.f64 1/1259712 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2))) (.f64 -1/54 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)) 1/3) (+.f64 11/216 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3))))))) (cbrt.f64 1/6))) (.f64 -1/162 (.f64 (+.f64 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) 11/216) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 8)) 1/3)))) (cbrt.f64 1/6)) (+.f64 (.f64 1/3 (-.f64 49/1296 (+.f64 (.f64 1/1259712 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2))) (.f64 -1/54 (.f64 (+.f64 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) 11/216) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)) 1/3)))))) (.f64 1/108 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2)) 1/3) (+.f64 (.f64 1/11664 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 4)) 1/3)) (.f64 -2/3 (/.f64 (+.f64 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) 11/216) (cbrt.f64 1/6)))))))))))))
(fma.f64 (.f64 beta beta) (fma.f64 1/5832 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) (fma.f64 (fma.f64 1/11664 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 4))) (.f64 -2/3 (/.f64 (fma.f64 1/3888 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 11/216) (cbrt.f64 1/6)))) (cbrt.f64 1/6) (.f64 (fma.f64 1/3888 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 11/216) -1/3))) (+.f64 1/6 (fma.f64 beta (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/6) 4)) 1/36) (.f64 (pow.f64 beta 3) (fma.f64 -1/162 (.f64 (fma.f64 1/3888 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 11/216) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)))) (fma.f64 (fma.f64 2/3 (/.f64 (-.f64 (-.f64 49/1296 (/.f64 1/1259712 (pow.f64 (cbrt.f64 1/6) 2))) (.f64 (.f64 (fma.f64 1/3888 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 11/216) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)))) -1/54)) (cbrt.f64 1/6)) (.f64 (.f64 -1/162 (fma.f64 1/3888 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 11/216)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 8))))) (cbrt.f64 1/6) (fma.f64 1/3 (-.f64 (-.f64 49/1296 (/.f64 1/1259712 (pow.f64 (cbrt.f64 1/6) 2))) (.f64 (.f64 (fma.f64 1/3888 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 11/216) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)))) -1/54)) (.f64 (.f64 1/108 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2)))) (fma.f64 1/11664 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 4))) (*.f64 -2/3 (/.f64 (fma.f64 1/3888 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 11/216) (cbrt.f64 1/6))))))))))))
(+.f64 (fma.f64 (pow.f64 beta 3) (fma.f64 -1/162 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 1/3888 11/216) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)))) (fma.f64 (cbrt.f64 1/6) (fma.f64 2/3 (/.f64 (-.f64 49/1296 (fma.f64 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 1/3888 11/216) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)))) -1/54 (/.f64 1/1259712 (pow.f64 (cbrt.f64 1/6) 2)))) (cbrt.f64 1/6)) (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 1/3888 11/216) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 8))) -1/162))) (fma.f64 1/3 (-.f64 49/1296 (fma.f64 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 1/3888 11/216) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)))) -1/54 (/.f64 1/1259712 (pow.f64 (cbrt.f64 1/6) 2)))) (.f64 1/108 (.f64 (fma.f64 1/11664 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 4))) (/.f64 -2/3 (/.f64 (cbrt.f64 1/6) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 1/3888 11/216)))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2)))))))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/6) 4)) (.f64 1/36 beta))) (fma.f64 (.f64 beta beta) (fma.f64 1/5832 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) (fma.f64 (cbrt.f64 1/6) (fma.f64 1/11664 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 4))) (/.f64 -2/3 (/.f64 (cbrt.f64 1/6) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 1/3888 11/216)))) (+.f64 -11/648 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) -1/11664)))) 1/6))
(+.f64 (fma.f64 beta (.f64 1/36 (cbrt.f64 (.f64 1/6 (cbrt.f64 1/6)))) 1/6) (.f64 (.f64 beta beta) (+.f64 (.f64 (fma.f64 -1/162 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 1/3888 11/216) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)))) (fma.f64 (cbrt.f64 1/6) (fma.f64 2/3 (/.f64 (-.f64 49/1296 (fma.f64 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 1/3888 11/216) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)))) -1/54 (/.f64 1/1259712 (pow.f64 (cbrt.f64 1/6) 2)))) (cbrt.f64 1/6)) (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 1/3888 11/216) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 8))) -1/162))) (fma.f64 1/3 (-.f64 49/1296 (fma.f64 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 1/3888 11/216) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)))) -1/54 (/.f64 1/1259712 (pow.f64 (cbrt.f64 1/6) 2)))) (.f64 1/108 (.f64 (fma.f64 1/11664 (cbrt.f64 (/.f64 1 (.f64 1/6 (cbrt.f64 1/6)))) (/.f64 -2/3 (/.f64 (cbrt.f64 1/6) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 1/3888 11/216)))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2)))))))) beta) (fma.f64 1/5832 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) (fma.f64 (cbrt.f64 1/6) (fma.f64 1/11664 (cbrt.f64 (/.f64 1 (.f64 1/6 (cbrt.f64 1/6)))) (/.f64 -2/3 (/.f64 (cbrt.f64 1/6) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 1/3888 11/216)))) (+.f64 -11/648 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) -1/11664)))))))
(cbrt.f64 1/6)
(+.f64 (.f64 1/108 (.f64 beta (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2)) 1/3))) (cbrt.f64 1/6))
(fma.f64 1/108 (*.f64 beta (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2)))) (cbrt.f64 1/6))
(+.f64 (.f64 1/108 (.f64 beta (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2)) 1/3))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (*.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) 11/216) (pow.f64 beta 2)) (pow.f64 (cbrt.f64 1/6) 2))) (cbrt.f64 1/6)))
(fma.f64 1/108 (.f64 beta (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2)))) (fma.f64 -1/3 (/.f64 (fma.f64 1/3888 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 11/216) (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (.f64 beta beta))) (cbrt.f64 1/6)))
(fma.f64 1/108 (.f64 beta (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2)))) (fma.f64 -1/3 (.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 1/3888 11/216) (pow.f64 (cbrt.f64 1/6) 2)) (*.f64 beta beta)) (cbrt.f64 1/6)))
(+.f64 (.f64 1/108 (.f64 beta (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 49/1296 (+.f64 (.f64 1/1259712 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2))) (.f64 -1/54 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)) 1/3) (+.f64 11/216 (.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3))))))) (pow.f64 beta 3)) (pow.f64 (cbrt.f64 1/6) 2))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (*.f64 1/3888 (pow.f64 (/.f64 1 (cbrt.f64 1/6)) 1/3)) 11/216) (pow.f64 beta 2)) (pow.f64 (cbrt.f64 1/6) 2))) (cbrt.f64 1/6))))
(fma.f64 1/108 (.f64 beta (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2)))) (fma.f64 1/3 (/.f64 (-.f64 (-.f64 49/1296 (/.f64 1/1259712 (pow.f64 (cbrt.f64 1/6) 2))) (.f64 (.f64 (fma.f64 1/3888 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 11/216) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)))) -1/54)) (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 beta 3))) (fma.f64 -1/3 (/.f64 (fma.f64 1/3888 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 11/216) (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (.f64 beta beta))) (cbrt.f64 1/6))))
(fma.f64 1/108 (.f64 beta (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 2)))) (fma.f64 1/3 (/.f64 (-.f64 49/1296 (fma.f64 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 1/3888 11/216) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/6) 5)))) -1/54 (/.f64 1/1259712 (pow.f64 (cbrt.f64 1/6) 2)))) (/.f64 (pow.f64 (cbrt.f64 1/6) 2) (pow.f64 beta 3))) (fma.f64 -1/3 (.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/6))) 1/3888 11/216) (pow.f64 (cbrt.f64 1/6) 2)) (.f64 beta beta)) (cbrt.f64 1/6))))
(/.f64 (+.f64 beta 1) (*.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 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) alpha) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))))) alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 (/.f64 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 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))))) alpha (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
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(+.f64 (/.f64 1 (.f64 beta beta)) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (.f64 alpha 2))) (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 alpha 7)))) (fma.f64 -1 (.f64 (+.f64 alpha 7) (fma.f64 (+.f64 1 alpha) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (.f64 alpha 2))) (.f64 (+.f64 alpha 7) (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 alpha 7))))))) (.f64 (.f64 6 (+.f64 1 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 5)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 1 alpha) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (.f64 alpha 2))) (.f64 (+.f64 alpha 7) (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 alpha 7)))))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 alpha 7)))))
(+.f64 (/.f64 1 (.f64 beta beta)) (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 alpha (pow.f64 beta 3)))) (/.f64 (fma.f64 (+.f64 1 alpha) (fma.f64 2 (+.f64 5 alpha) (.f64 3 (+.f64 2 alpha))) (.f64 (+.f64 alpha 7) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 alpha 7))))) (pow.f64 beta 4))) (/.f64 (fma.f64 (fma.f64 2 (+.f64 5 alpha) (.f64 3 (+.f64 2 alpha))) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 alpha 7))) (-.f64 (.f64 (+.f64 2 alpha) (+.f64 6 (.f64 alpha 6))) (.f64 (+.f64 alpha 7) (fma.f64 (+.f64 1 alpha) (fma.f64 2 (+.f64 5 alpha) (.f64 3 (+.f64 2 alpha))) (.f64 (+.f64 alpha 7) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 alpha 7)))))))) (pow.f64 beta 5))) (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 alpha 7))))
(+.f64 (/.f64 1 (.f64 beta beta)) (+.f64 (+.f64 (-.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 (fma.f64 (+.f64 1 alpha) (fma.f64 2 (+.f64 5 alpha) (.f64 3 (+.f64 2 alpha))) (.f64 (+.f64 alpha 7) (.f64 (-.f64 -1 alpha) (+.f64 -1 (+.f64 alpha 7))))) (pow.f64 beta 4))) (-.f64 (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 alpha (pow.f64 beta 3))) (/.f64 (fma.f64 (fma.f64 2 (+.f64 5 alpha) (.f64 3 (+.f64 2 alpha))) (.f64 (-.f64 -1 alpha) (+.f64 -1 (+.f64 alpha 7))) (fma.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) 6) (.f64 (fma.f64 (+.f64 1 alpha) (fma.f64 2 (+.f64 5 alpha) (.f64 3 (+.f64 2 alpha))) (.f64 (+.f64 alpha 7) (.f64 (-.f64 -1 alpha) (+.f64 -1 (+.f64 alpha 7))))) (-.f64 -7 alpha)))) (pow.f64 beta 5)))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (-.f64 -7 alpha))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(fma.f64 -1 (/.f64 (.f64 -1 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 alpha 7))))) (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 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 alpha 7))) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (.f64 beta beta)) (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (*.f64 (-.f64 -1 alpha) (+.f64 -1 (+.f64 alpha 7))) (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (+.f64 7 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2)))))
(fma.f64 -1 (/.f64 (.f64 -1 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 alpha 7))))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 -1 (/.f64 (.f64 -1 (+.f64 (.f64 (+.f64 alpha 7) (.f64 -1 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 alpha 7)))))) (.f64 (+.f64 1 alpha) (fma.f64 -5 (+.f64 2 alpha) -6)))) (pow.f64 beta 4)) (/.f64 alpha (*.f64 beta beta)))))
(-.f64 (+.f64 (/.f64 1 (.f64 beta beta)) (-.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (neg.f64 (fma.f64 (+.f64 alpha 7) (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 alpha 7))) (.f64 (+.f64 1 alpha) (fma.f64 (+.f64 2 alpha) -5 -6)))) (pow.f64 beta 4)))) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 alpha 7))) (pow.f64 beta 3)))
(+.f64 (-.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (fma.f64 (+.f64 alpha 7) (.f64 (-.f64 -1 alpha) (+.f64 -1 (+.f64 alpha 7))) (.f64 (-.f64 -1 alpha) (+.f64 -10 (fma.f64 alpha -5 -6)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (*.f64 (-.f64 -1 alpha) (+.f64 -1 (+.f64 alpha 7))) (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (-.f64 (.f64 -5 (+.f64 2 alpha)) 6)) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -6 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (+.f64 7 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (-.f64 (.f64 -5 (+.f64 2 alpha)) 6)))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (.f64 (+.f64 7 alpha) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (+.f64 7 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (-.f64 (.f64 -5 (+.f64 2 alpha)) 6))))) (pow.f64 beta 5))))))))
(fma.f64 -1 (/.f64 (.f64 -1 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 alpha 7))))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (.f64 -1 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 alpha 7))))) (/.f64 (pow.f64 beta 5) (fma.f64 -5 (+.f64 2 alpha) -6))) (+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 -6 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (+.f64 2 alpha))) (+.f64 (fma.f64 -1 (/.f64 (.f64 -1 (+.f64 (.f64 (+.f64 alpha 7) (.f64 -1 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 alpha 7)))))) (.f64 (+.f64 1 alpha) (fma.f64 -5 (+.f64 2 alpha) -6)))) (pow.f64 beta 4)) (/.f64 alpha (.f64 beta beta))) (/.f64 (+.f64 alpha 7) (/.f64 (pow.f64 beta 5) (.f64 -1 (+.f64 (.f64 (+.f64 alpha 7) (.f64 -1 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 alpha 7)))))) (.f64 (+.f64 1 alpha) (fma.f64 -5 (+.f64 2 alpha) -6)))))))))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 -6 (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 5)) (+.f64 2 alpha)) (+.f64 (-.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (neg.f64 (fma.f64 (+.f64 alpha 7) (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 alpha 7))) (.f64 (+.f64 1 alpha) (fma.f64 (+.f64 2 alpha) -5 -6)))) (pow.f64 beta 4))) (.f64 (/.f64 (+.f64 alpha 7) (pow.f64 beta 5)) (neg.f64 (fma.f64 (+.f64 alpha 7) (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 alpha 7))) (.f64 (+.f64 1 alpha) (fma.f64 (+.f64 2 alpha) -5 -6)))))))) (.f64 (/.f64 (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 alpha 7))) (pow.f64 beta 5)) (fma.f64 (+.f64 2 alpha) -5 -6))) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 alpha 7))) (pow.f64 beta 3)))
(+.f64 (/.f64 (.f64 (-.f64 -1 alpha) (+.f64 -1 (+.f64 alpha 7))) (pow.f64 beta 3)) (+.f64 (+.f64 (+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (.f64 (-.f64 -1 alpha) (+.f64 -1 (+.f64 alpha 7))) (/.f64 (pow.f64 beta 5) (+.f64 -10 (fma.f64 alpha -5 -6))))) (fma.f64 -6 (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 5)) (+.f64 2 alpha)) (/.f64 (fma.f64 (+.f64 alpha 7) (.f64 (+.f64 1 alpha) (-.f64 -1 (-.f64 -7 alpha))) (.f64 (+.f64 1 alpha) (+.f64 -10 (fma.f64 alpha -5 -6)))) (pow.f64 beta 4)))) (+.f64 (/.f64 alpha (.f64 beta beta)) (.f64 (/.f64 (+.f64 alpha 7) (pow.f64 beta 5)) (fma.f64 (+.f64 alpha 7) (.f64 (-.f64 -1 alpha) (+.f64 -1 (+.f64 alpha 7))) (.f64 (-.f64 -1 alpha) (+.f64 -10 (fma.f64 alpha -5 -6))))))))

localize6.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series26.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	beta	@	0	(/.f64 (+.f64 1 beta) alpha)
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
0.0ms	beta	@	-inf	(/.f64 (+.f64 1 beta) alpha)
0.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`pow1_binary64`
824×	`add-log-exp_binary64`
824×	`log1p-expm1-u_binary64`
824×	`expm1-log1p-u_binary64`
808×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	152	17
2	2191	17

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify201.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	471
1	24	471
2	32	471
3	55	471
4	123	471
5	376	471
6	1371	471
7	2220	471
8	2384	471
9	2568	471
10	2776	471
11	3075	471
12	3468	471
13	3951	471
14	4517	471
15	5207	471
16	6042	471
17	6430	471
18	6720	471
19	6996	471
20	7066	471
21	7102	471

Stop Event

1×	node limit

Counts

116 → 82

Calls

Call 1

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

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

localize26.0ms (0.2%)

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) beta)
✓	0.2b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

Compiler

Compiled 51 to 33 computations (35.3% saved)

series7.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`prod-diff_binary64`
565×	`fma-def_binary64`
311×	`fma-neg_binary64`
283×	`log-div_binary64`
241×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	269	23
2	4209	23

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

523×	`fma-def_binary64`
387×	`associate-+l+_binary64`
371×	`sub-neg_binary64`
368×	`distribute-rgt-in_binary64`
353×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1274
1	415	1246
2	1455	1157
3	7275	1151

Stop Event

1×	node limit

Counts

111 → 114

Calls

Call 1

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

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

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 1 alpha) beta)
	0.0b	(*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))
✓	0.2b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta)))
	1.9b	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 90 to 60 computations (33.3% saved)

series13.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

445×	`fma-neg_binary64`
361×	`expm1-udef_binary64`
361×	`log1p-udef_binary64`
213×	`add-sqr-sqrt_binary64`
208×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	34
1	425	34
2	6760	34

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

564×	`cancel-sign-sub-inv_binary64`
271×	`distribute-neg-in_binary64`
256×	`sub-neg_binary64`
238×	`distribute-rgt-in_binary64`
228×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	3335
1	990	3071
2	4500	2967

Stop Event

1×	node limit

Counts

75 → 94

Calls

Call 1

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

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

eval674.0ms (4.6%)

Compiler: Compiled 27981 to 20904 computations (25.3% saved)

prune131.0ms (0.9%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	744	14	758
Fresh	6	11	17
Picked	1	0	1
Done	3	3	6
Total	754	28	782

Error

Counts

782 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	4.4b	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
	61.6b	(/.f64 -1 beta)
	62.6b	(/.f64 (/.f64 beta alpha) alpha)
✓	30.7b	(/.f64 1 (*.f64 beta beta))
	28.3b	(.f64 (+.f64 1 alpha) (/.f64 1 (.f64 beta (+.f64 alpha (+.f64 beta 3)))))
	33.8b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 (+.f64 3 alpha) alpha) (*.f64 2 (+.f64 3 alpha))) (+.f64 2 alpha)))
	30.5b	(pow.f64 beta -2)
	60.2b	(/.f64 1 beta)
	36.7b	(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
✓	3.9b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 3 beta) (+.f64 2 beta)))) 3))
	24.4b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) 1)
	8.0b	(/.f64 (+.f64 1 beta) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))))
	61.7b	(/.f64 (/.f64 1 alpha) alpha)
	29.4b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 beta beta)) (-.f64 1 (/.f64 (+.f64 1 alpha) beta)))
	35.4b	(/.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 alpha 3))
✓	28.9b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	9.9b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 (.f64 beta (+.f64 beta 3)) (*.f64 2 (+.f64 beta 3))) (+.f64 beta 2)))
	62.2b	(/.f64 beta (*.f64 alpha alpha))
	5.3b	(.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))))
	29.9b	(/.f64 (/.f64 1 beta) (+.f64 beta 3))
	36.0b	(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
	61.7b	(/.f64 1 (*.f64 alpha alpha))
	26.5b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
	40.7b	(/.f64 (/.f64 alpha beta) beta)
	26.6b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 alpha beta)))
	30.7b	(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	30.2b	(/.f64 1 (*.f64 beta (+.f64 beta 3)))
	31.8b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (.f64 2 alpha))))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 417 to 302 computations (27.6% saved)

regimes198.0ms (1.4%)

Counts

66 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

73.0ms

beta

68.0ms

alpha

30.0ms

(/.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
0.2b	2	`alpha`
0.1b	2	`beta`
0.1b	2	`(/.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 1152 to 770 computations (33.2% saved)

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	1.3758089445453224e+137	7.11390622330583e+137

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes129.0ms (0.9%)

Counts

45 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

70.0ms	alpha
43.0ms	beta

Results

Error	Segments	Branch
1.0b	2	`alpha`
0.3b	2	`beta`

Compiler

Compiled 561 to 373 computations (33.5% saved)

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	1.4073831238395701e+79	5.8026236092015316e+79

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes104.0ms (0.7%)

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

47.0ms	alpha
45.0ms	beta

Results

Error	Segments	Branch
1.0b	2	`alpha`
0.9b	2	`beta`

Compiler

Compiled 511 to 339 computations (33.7% saved)

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	7.582297823193232e+19	7.944587581711738e+25

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes104.0ms (0.7%)

Counts

39 → 2

Calls

Call 1

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

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

Calls

2 calls:

48.0ms	alpha
43.0ms	beta

Results

Error	Segments	Branch
1.1b	2	`alpha`
1.0b	2	`beta`

Compiler

Compiled 425 to 279 computations (34.4% saved)

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	7.582297823193232e+19	7.944587581711738e+25

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes92.0ms (0.6%)

Counts

37 → 2

Calls

Call 1

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

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

Calls

2 calls:

46.0ms	alpha
35.0ms	beta

Results

Error	Segments	Branch
1.1b	2	`alpha`
1.0b	2	`beta`

Compiler

Compiled 385 to 252 computations (34.5% saved)

bsearch60.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
59.0ms	4093624089739929.5	4140669433581491700.0

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes294.0ms (2%)

Counts

35 → 2

Calls

Call 1

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

Outputs
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))

Calls

2 calls:

177.0ms	alpha
99.0ms	beta

Results

Error	Segments	Branch
17.2b	5	`alpha`
1.9b	2	`beta`

Compiler

Compiled 347 to 224 computations (35.4% saved)

bsearch88.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
88.0ms	0.05830818100283035	8722.998196739067

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes179.0ms (1.2%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

102.0ms	alpha
61.0ms	beta

Results

Error	Segments	Branch
18.7b	4	`alpha`
2.0b	2	`beta`

Compiler

Compiled 121 to 71 computations (41.3% saved)

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	0.05830818100283035	8722.998196739067

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes77.0ms (0.5%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

2 calls:

45.0ms	alpha
28.0ms	beta

Results

Error	Segments	Branch
18.4b	5	`alpha`
2.1b	3	`beta`

Compiler

Compiled 112 to 65 computations (42% saved)

bsearch62.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	1.4211526545397218e+150	1.4690035248678258e+153
31.0ms	0.05830818100283035	8722.998196739067

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes79.0ms (0.5%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

59.0ms	alpha
17.0ms	beta

Results

Error	Segments	Branch
26.6b	2	`alpha`
27.2b	2	`beta`

Compiler

Compiled 103 to 58 computations (43.7% saved)

bsearch71.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
70.0ms	6.96027170604692e-18	5.7686502380344916e-11

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes53.0ms (0.4%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

39.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
27.4b	2	`alpha`
28.9b	2	`beta`

Compiler

Compiled 54 to 30 computations (44.4% saved)

bsearch76.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
76.0ms	6.96027170604692e-18	5.7686502380344916e-11

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(/.f64 1 (*.f64 beta beta))

Calls

2 calls:

7.0ms	alpha
6.0ms	beta

Results

Error	Segments	Branch
30.7b	1	`alpha`
30.7b	1	`beta`

Compiler

Compiled 49 to 28 computations (42.9% saved)

regimes27.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	alpha
5.0ms	beta

Results

Error	Segments	Branch
42.0b	1	`alpha`
42.0b	1	`beta`

Compiler

Compiled 44 to 26 computations (40.9% saved)

regimes12.0ms (0.1%)

Accuracy

Total -3.2b remaining (-5.4%)

Threshold costs -3.2b (-5.4%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 1 beta)

Calls

2 calls:

5.0ms	beta
5.0ms	alpha

Results

Error	Segments	Branch
60.2b	1	`alpha`
60.2b	1	`beta`

Compiler

Compiled 34 to 19 computations (44.1% saved)

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	460
1	106	460

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 beta 137580894454532239760576257129352137164794061351669248594505745812639045987765273367270797231113179221553414052503398215930125789897424896) (.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha)))
(if (<=.f64 beta 14073831238395701309686897085901764041646191190848239218811120557599083754160128) (/.f64 (+.f64 1 beta) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1)))
(if (<=.f64 beta 9938269402815833281921024/131072) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (.f64 beta (+.f64 beta 3)) (.f64 2 (+.f64 beta 3))) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))
(if (<=.f64 beta 9938269402815833281921024/131072) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (.f64 beta (+.f64 beta 3)) (*.f64 2 (+.f64 beta 3))) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha)))
(if (<=.f64 beta 8187248179479859/2) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha)))
(if (<=.f64 beta 1075596092362744576/18446744073709551616) (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha)))
(if (<=.f64 beta 1075596092362744576/18446744073709551616) (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 1075596092362744576/18446744073709551616) (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (if (<=.f64 beta 1421152654539721806983884264450287555641316996497492904569778659132128070898922920321543230583546287915479543611729172225235384796146316294609833033728) (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 alpha 4517474614232033/649037107316853453566312041152512) (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 alpha beta) beta))
(if (<=.f64 alpha 4517474614232033/649037107316853453566312041152512) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 1/2 (*.f64 beta beta))
(/.f64 1 beta)
(/.f64 -1 beta)

Outputs
(if (<=.f64 beta 137580894454532239760576257129352137164794061351669248594505745812639045987765273367270797231113179221553414052503398215930125789897424896) (.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha)))
(if (<=.f64 beta 137580894454532239760576257129352137164794061351669248594505745812639045987765273367270797231113179221553414052503398215930125789897424896) (.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 14073831238395701309686897085901764041646191190848239218811120557599083754160128) (/.f64 (+.f64 1 beta) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1)))
(if (<=.f64 beta 14073831238395701309686897085901764041646191190848239218811120557599083754160128) (/.f64 (+.f64 beta 1) (.f64 (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 1)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 1 (+.f64 2 (+.f64 beta alpha)))))
(if (<=.f64 beta 9938269402815833281921024/131072) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (.f64 beta (+.f64 beta 3)) (.f64 2 (+.f64 beta 3))) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))
(if (<=.f64 beta 75822978231932321792) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (.f64 beta (+.f64 beta 3)) (*.f64 2 (+.f64 beta 3))) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 1 (+.f64 2 (+.f64 beta alpha)))))
(if (<=.f64 beta 9938269402815833281921024/131072) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (.f64 beta (+.f64 beta 3)) (*.f64 2 (+.f64 beta 3))) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha)))
(if (<=.f64 beta 75822978231932321792) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (.f64 beta (+.f64 beta 3)) (*.f64 2 (+.f64 beta 3))) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 8187248179479859/2) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha)))
(if (<=.f64 beta 8187248179479859/2) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1075596092362744576/18446744073709551616) (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha)))
(if (<=.f64 beta 4201547235791971/72057594037927936) (*.f64 1/6 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1075596092362744576/18446744073709551616) (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 4201547235791971/72057594037927936) (.f64 1/6 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))) (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 beta)))
(if (<=.f64 beta 1075596092362744576/18446744073709551616) (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (if (<=.f64 beta 1421152654539721806983884264450287555641316996497492904569778659132128070898922920321543230583546287915479543611729172225235384796146316294609833033728) (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4201547235791971/72057594037927936) (.f64 1/6 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))) (if (<=.f64 beta 1421152654539721806983884264450287555641316996497492904569778659132128070898922920321543230583546287915479543611729172225235384796146316294609833033728) (/.f64 (+.f64 alpha 1) (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 alpha 4517474614232033/649037107316853453566312041152512) (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 alpha beta) beta))
(if (<=.f64 alpha 4517474614232033/649037107316853453566312041152512) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 1/2 (*.f64 beta beta))
(/.f64 1 beta)
(/.f64 -1 beta)

Compiler

Compiled 343 to 242 computations (29.4% saved)

soundness302.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

712×	`distribute-rgt-in_binary64`
704×	`distribute-lft-in_binary64`
681×	`distribute-rgt-in_binary64`
661×	`distribute-lft-in_binary64`
492×	`fma-def_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
0	567	8184
1	2208	7723

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 812 to 562 computations (30.8% saved)

end269.0ms (1.8%)

Compiler: Compiled 401 to 266 computations (33.7% saved)