Details

analyze54.0ms (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)

sample1.5s (12.1%)

Results

1.5s

8256×

body

256

valid

preprocess89.0ms (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)

simplify131.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

4.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.1b	(/.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))
▶	10.9b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

Status

Error

Program

▶

4.1b

(/.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))

▶

10.9b

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

Compiler

Compiled 64 to 43 computations (32.8% saved)

localize30.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))
✓	0.0b	(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))
✓	10.8b	(/.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))

✓

0.0b

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

✓

10.8b

(/.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)

series23.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite103.0ms (0.8%)

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))))))

simplify148.0ms (1.2%)

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))))))

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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)))
✓	0.0b	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)
✓	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
✓	3.8b	(/.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)

series24.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite103.0ms (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 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)))

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

simplify122.0ms (1%)

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	2207	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 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))
(/.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))))

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

eval670.0ms (5.4%)

Compiler: Compiled 30007 to 21685 computations (27.7% saved)

prune99.0ms (0.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	525	19	544
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	527	19	546

Error

0.0b

Counts

546 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	38.2b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
▶	26.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	61.4b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
	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)))))
	35.1b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
▶	4.5b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	8.9b	(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
▶	20.3b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	5.0b	(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))
▶	1.2b	(.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)))))
	2.5b	(.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))))
▶	62.0b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
	62.7b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	24.0b	(/.f64 (+.f64 (/.f64 1 (.f64 beta beta)) (+.f64 (-.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (fma.f64 2 alpha 4) (/.f64 beta (/.f64 (-.f64 -1 alpha) beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	11.1b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
	16.9b	(/.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))
	2.5b	(.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))))
	23.7b	(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	23.8b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

Compiler

Compiled 968 to 690 computations (28.7% saved)

localize81.0ms (0.7%)

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)))))
✓	3.9b	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
✓	15.5b	(/.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)

series90.0ms (0.7%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
11.0ms	alpha	@	0	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
9.0ms	alpha	@	0	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
6.0ms	beta	@	0	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
5.0ms	alpha	@	-inf	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
5.0ms	beta	@	0	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))

rewrite148.0ms (1.2%)

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 (+.f64 1 beta)) 2) (sqrt.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (cbrt.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 pow.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 pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.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 pow.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) 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simplify119.0ms (1%)

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 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))
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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 -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)))
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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))))))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.5b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (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 (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

56 → 40

Calls

Call 1

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

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

localize41.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.5b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
✓	8.3b	(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 alpha alpha))

Compiler

Compiled 56 to 33 computations (41.1% saved)

series17.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

138 → 144

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

0.0b

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

✓

0.1b

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

Compiler

Compiled 63 to 41 computations (34.9% saved)

series19.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	beta	@	inf	(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
2.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
2.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

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

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

125 → 151

Calls

Call 1

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

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

localize35.0ms (0.3%)

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

✓

0.1b

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

Compiler

Compiled 81 to 54 computations (33.3% saved)

series18.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite110.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	47
1	325	47
2	5334	47

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

Inputs

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

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

Outputs

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

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

453×	`distribute-rgt-in_binary64`
445×	`distribute-lft-in_binary64`
357×	`fma-def_binary64`
342×	`cancel-sign-sub-inv_binary64`
284×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	357	4386
1	1376	4154
2	6653	4067

Stop Event

1×	node limit

Counts

133 → 163

Calls

Call 1

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

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

eval1.1s (8.5%)

Compiler: Compiled 41712 to 31095 computations (25.5% saved)

prune259.0ms (2.1%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	880	20	900
Fresh	11	3	14
Picked	1	0	1
Done	3	1	4
Total	895	24	919

Error

Counts

919 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	22.2b	(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))
	38.0b	(/.f64 (/.f64 alpha beta) beta)
▶	4.8b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
	38.2b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
✓	26.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	37.2b	(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
▶	24.5b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	62.8b	(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
	26.2b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
	24.0b	(/.f64 (+.f64 (/.f64 1 (.f64 beta beta)) (+.f64 (-.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (fma.f64 2 alpha 4) (/.f64 beta (/.f64 (-.f64 -1 alpha) beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	28.7b	(/.f64 1 (*.f64 beta beta))
	61.1b	(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
	35.1b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
	20.4b	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
	24.7b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	20.3b	(/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 alpha)) -1) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	4.8b	(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 1)
▶	0.1b	(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
	4.5b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
▶	62.4b	(/.f64 1 alpha)
	25.2b	(pow.f64 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)) -1)
▶	35.2b	(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	23.8b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
	24.4b	(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))

Compiler

Compiled 757 to 556 computations (26.6% saved)

localize71.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 91 to 61 computations (33% saved)

series25.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	beta	@	0	(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))
2.0ms	beta	@	0	(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
2.0ms	alpha	@	0	(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
2.0ms	alpha	@	-inf	(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
1.0ms	beta	@	-inf	(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))

rewrite110.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

409×	`fma-neg_binary64`
358×	`expm1-udef_binary64`
358×	`log1p-udef_binary64`
205×	`add-sqr-sqrt_binary64`
200×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	91
1	393	79
2	6453	79

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

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

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

simplify149.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

736×	`distribute-rgt-in_binary64`
721×	`distribute-lft-in_binary64`
539×	`fma-def_binary64`
305×	`times-frac_binary64`
287×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	565	8525
1	2224	8066

Stop Event

1×	node limit

Counts

259 → 317

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 16 computations (36% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

935×	`pow1_binary64`
871×	`add-log-exp_binary64`
871×	`log1p-expm1-u_binary64`
871×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	17
2	2474	17

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify180.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	387
1	23	387
2	32	387
3	55	387
4	123	387
5	376	387
6	1364	387
7	2213	387
8	2377	387
9	2561	387
10	2769	387
11	3066	387
12	3459	387
13	3940	387
14	4506	387
15	5198	387
16	6035	387
17	6431	387
18	6721	387
19	7003	387
20	7073	387
21	7109	387

Stop Event

1×	node limit

Counts

116 → 90

Calls

Call 1

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 52 to 36 computations (30.8% saved)

series8.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`prod-diff_binary64`
527×	`fma-def_binary64`
294×	`fma-neg_binary64`
275×	`log-div_binary64`
259×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	292	23
2	4338	23

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

869×	`fma-def_binary64`
615×	`times-frac_binary64`
537×	`distribute-rgt-in_binary64`
530×	`distribute-lft-in_binary64`
440×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	1288
1	542	1228
2	2041	1185

Stop Event

1×	node limit

Counts

100 → 113

Calls

Call 1

Inputs
(/.f64 1/4 (+.f64 beta 3))
(+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 -1/8 (/.f64 (*.f64 (+.f64 beta 5) alpha) (pow.f64 (+.f64 beta 3) 2))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) (.f64 -1/16 (/.f64 (pow.f64 (+.f64 beta 5) 2) (pow.f64 (+.f64 beta 3) 3)))) (pow.f64 alpha 2))) (+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 -1/8 (/.f64 (*.f64 (+.f64 beta 5) alpha) (pow.f64 (+.f64 beta 3) 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) (.f64 -1/16 (/.f64 (pow.f64 (+.f64 beta 5) 2) (pow.f64 (+.f64 beta 3) 3)))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) (.f64 -1/16 (/.f64 (pow.f64 (+.f64 beta 5) 2) (pow.f64 (+.f64 beta 3) 3)))) (+.f64 beta 5)) (+.f64 beta 3))) (.f64 -1/16 (/.f64 (+.f64 beta 5) (pow.f64 (+.f64 beta 3) 3)))) (pow.f64 alpha 3))) (+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 -1/8 (/.f64 (.f64 (+.f64 beta 5) alpha) (pow.f64 (+.f64 beta 3) 2))))))
(/.f64 1/2 (pow.f64 alpha 2))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 beta 5) (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 beta 5) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta (+.f64 3 (.f64 -1/2 (pow.f64 (+.f64 beta 5) 2)))) (pow.f64 alpha 4))) (.f64 1/2 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 beta 5) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta (+.f64 3 (.f64 -1/2 (pow.f64 (+.f64 beta 5) 2)))) (pow.f64 alpha 4))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 beta 5) (+.f64 beta (+.f64 3 (.f64 -1/2 (pow.f64 (+.f64 beta 5) 2)))))) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 5)))) (pow.f64 alpha 5))))))
(/.f64 1/2 (pow.f64 alpha 2))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 3)) 2) (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 3)) 2) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 beta (+.f64 3 (.f64 -1/2 (pow.f64 (-.f64 (.f64 -1 (+.f64 beta 3)) 2) 2)))) (pow.f64 alpha 4)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (-.f64 (.f64 -1 (+.f64 beta 3)) 2)) (pow.f64 alpha 5))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 3)) 2) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta (+.f64 3 (.f64 -1/2 (pow.f64 (-.f64 (.f64 -1 (+.f64 beta 3)) 2) 2)))) (-.f64 (.f64 -1 (+.f64 beta 3)) 2)) (pow.f64 alpha 5))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 beta (+.f64 3 (.f64 -1/2 (pow.f64 (-.f64 (.f64 -1 (+.f64 beta 3)) 2) 2)))) (pow.f64 alpha 4)))))))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (.f64 -1/2 (/.f64 beta (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2)))) (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (.f64 -1/2 (/.f64 beta (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 2) (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 3)))) (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (.f64 -1/2 (/.f64 beta (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 beta 3) (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 4)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 2) (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 3)))) (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.f64 1/2 (*.f64 beta (+.f64 2 alpha)))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 beta (+.f64 2 alpha)))) (.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 (pow.f64 beta 2) (+.f64 2 alpha)))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 beta (+.f64 2 alpha)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 (pow.f64 beta 2) (+.f64 2 alpha)))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (.f64 (pow.f64 beta 3) (+.f64 2 alpha))))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 beta (+.f64 2 alpha)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 (pow.f64 beta 2) (+.f64 2 alpha)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (.f64 (pow.f64 beta 4) (+.f64 2 alpha)))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (.f64 (pow.f64 beta 3) (+.f64 2 alpha)))))))
(/.f64 1/2 (*.f64 beta (+.f64 2 alpha)))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 beta (+.f64 2 alpha)))) (.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 (pow.f64 beta 2) (+.f64 2 alpha)))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 beta (+.f64 2 alpha)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 (pow.f64 beta 2) (+.f64 2 alpha)))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (.f64 (pow.f64 beta 3) (+.f64 2 alpha))))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 beta (+.f64 2 alpha)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 (pow.f64 beta 2) (+.f64 2 alpha)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (.f64 (pow.f64 beta 4) (+.f64 2 alpha)))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (.f64 (pow.f64 beta 3) (+.f64 2 alpha)))))))
1/4
(+.f64 (*.f64 -1/8 alpha) 1/4)
(+.f64 (.f64 -1/8 alpha) (+.f64 1/4 (.f64 1/16 (pow.f64 alpha 2))))
(+.f64 (.f64 -1/8 alpha) (+.f64 1/4 (+.f64 (.f64 -1/32 (pow.f64 alpha 3)) (*.f64 1/16 (pow.f64 alpha 2)))))
(/.f64 1/2 alpha)
(-.f64 (*.f64 1/2 (/.f64 1 alpha)) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 alpha))) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 alpha))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 4 (/.f64 1 (pow.f64 alpha 4)))))
(/.f64 1/2 alpha)
(-.f64 (*.f64 1/2 (/.f64 1 alpha)) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 alpha))) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 alpha))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 4 (/.f64 1 (pow.f64 alpha 4)))))

Outputs
(/.f64 1/4 (+.f64 beta 3))
(+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 -1/8 (/.f64 (*.f64 (+.f64 beta 5) alpha) (pow.f64 (+.f64 beta 3) 2))))
(+.f64 (/.f64 1/4 (+.f64 beta 3)) (*.f64 -1/8 (/.f64 (+.f64 beta 5) (/.f64 (pow.f64 (+.f64 beta 3) 2) alpha))))
(fma.f64 -1/8 (*.f64 (/.f64 (+.f64 beta 5) (pow.f64 (+.f64 beta 3) 2)) alpha) (/.f64 1/4 (+.f64 beta 3)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) (.f64 -1/16 (/.f64 (pow.f64 (+.f64 beta 5) 2) (pow.f64 (+.f64 beta 3) 3)))) (pow.f64 alpha 2))) (+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 -1/8 (/.f64 (*.f64 (+.f64 beta 5) alpha) (pow.f64 (+.f64 beta 3) 2)))))
(fma.f64 -1 (.f64 (+.f64 (/.f64 1/8 (pow.f64 (+.f64 beta 3) 2)) (.f64 -1/16 (/.f64 (pow.f64 (+.f64 beta 5) 2) (pow.f64 (+.f64 beta 3) 3)))) (.f64 alpha alpha)) (+.f64 (/.f64 1/4 (+.f64 beta 3)) (.f64 -1/8 (/.f64 (+.f64 beta 5) (/.f64 (pow.f64 (+.f64 beta 3) 2) alpha)))))
(-.f64 (fma.f64 -1/8 (.f64 (/.f64 (+.f64 beta 5) (pow.f64 (+.f64 beta 3) 2)) alpha) (/.f64 1/4 (+.f64 beta 3))) (.f64 (fma.f64 -1/16 (/.f64 (pow.f64 (+.f64 beta 5) 2) (pow.f64 (+.f64 beta 3) 3)) (/.f64 1/8 (pow.f64 (+.f64 beta 3) 2))) (*.f64 alpha alpha)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) (.f64 -1/16 (/.f64 (pow.f64 (+.f64 beta 5) 2) (pow.f64 (+.f64 beta 3) 3)))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) (.f64 -1/16 (/.f64 (pow.f64 (+.f64 beta 5) 2) (pow.f64 (+.f64 beta 3) 3)))) (+.f64 beta 5)) (+.f64 beta 3))) (.f64 -1/16 (/.f64 (+.f64 beta 5) (pow.f64 (+.f64 beta 3) 3)))) (pow.f64 alpha 3))) (+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 -1/8 (/.f64 (.f64 (+.f64 beta 5) alpha) (pow.f64 (+.f64 beta 3) 2))))))
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(+.f64 (/.f64 (/.f64 1/2 beta) (+.f64 alpha 2)) (fma.f64 (/.f64 1/2 (+.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3)) (.f64 (/.f64 -1/2 (+.f64 alpha 2)) (+.f64 (/.f64 (+.f64 3 alpha) (.f64 beta beta)) (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 4))))))
1/4
(+.f64 (*.f64 -1/8 alpha) 1/4)
(fma.f64 -1/8 alpha 1/4)
(+.f64 (.f64 -1/8 alpha) (+.f64 1/4 (.f64 1/16 (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1/8 alpha 1/4) (.f64 (.f64 alpha alpha) 1/16))
(fma.f64 -1/8 alpha (fma.f64 (*.f64 alpha alpha) 1/16 1/4))
(+.f64 (.f64 -1/8 alpha) (+.f64 1/4 (+.f64 (.f64 -1/32 (pow.f64 alpha 3)) (*.f64 1/16 (pow.f64 alpha 2)))))
(+.f64 (fma.f64 -1/8 alpha 1/4) (fma.f64 -1/32 (pow.f64 alpha 3) (.f64 (.f64 alpha alpha) 1/16)))
(+.f64 (fma.f64 -1/8 alpha 1/4) (fma.f64 (.f64 alpha alpha) 1/16 (.f64 (pow.f64 alpha 3) -1/32)))
(fma.f64 -1/8 alpha (fma.f64 (pow.f64 alpha 3) -1/32 (fma.f64 (*.f64 alpha alpha) 1/16 1/4)))
(/.f64 1/2 alpha)
(-.f64 (*.f64 1/2 (/.f64 1 alpha)) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (/.f64 1/2 alpha) (/.f64 1 (*.f64 alpha alpha)))
(-.f64 (/.f64 1/2 alpha) (/.f64 (/.f64 1 alpha) alpha))
(+.f64 (/.f64 1/2 alpha) (/.f64 -1 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 alpha))) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (/.f64 2 (pow.f64 alpha 3)) (-.f64 (/.f64 1/2 alpha) (/.f64 1 (*.f64 alpha alpha))))
(+.f64 (/.f64 1/2 alpha) (-.f64 (/.f64 2 (pow.f64 alpha 3)) (/.f64 (/.f64 1 alpha) alpha)))
(+.f64 (/.f64 1/2 alpha) (+.f64 (/.f64 2 (pow.f64 alpha 3)) (/.f64 -1 (*.f64 alpha alpha))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 alpha))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 4 (/.f64 1 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 1/2 alpha) (/.f64 2 (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 4 (pow.f64 alpha 4))))
(+.f64 (/.f64 2 (pow.f64 alpha 3)) (-.f64 (/.f64 1/2 alpha) (+.f64 (/.f64 (/.f64 1 alpha) alpha) (/.f64 4 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1/2 alpha) (+.f64 (/.f64 2 (pow.f64 alpha 3)) (+.f64 (/.f64 -1 (*.f64 alpha alpha)) (/.f64 -4 (pow.f64 alpha 4)))))
(/.f64 1/2 alpha)
(-.f64 (*.f64 1/2 (/.f64 1 alpha)) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (/.f64 1/2 alpha) (/.f64 1 (*.f64 alpha alpha)))
(-.f64 (/.f64 1/2 alpha) (/.f64 (/.f64 1 alpha) alpha))
(+.f64 (/.f64 1/2 alpha) (/.f64 -1 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 alpha))) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (/.f64 2 (pow.f64 alpha 3)) (-.f64 (/.f64 1/2 alpha) (/.f64 1 (*.f64 alpha alpha))))
(+.f64 (/.f64 1/2 alpha) (-.f64 (/.f64 2 (pow.f64 alpha 3)) (/.f64 (/.f64 1 alpha) alpha)))
(+.f64 (/.f64 1/2 alpha) (+.f64 (/.f64 2 (pow.f64 alpha 3)) (/.f64 -1 (*.f64 alpha alpha))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 alpha))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 4 (/.f64 1 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 1/2 alpha) (/.f64 2 (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 4 (pow.f64 alpha 4))))
(+.f64 (/.f64 2 (pow.f64 alpha 3)) (-.f64 (/.f64 1/2 alpha) (+.f64 (/.f64 (/.f64 1 alpha) alpha) (/.f64 4 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1/2 alpha) (+.f64 (/.f64 2 (pow.f64 alpha 3)) (+.f64 (/.f64 -1 (*.f64 alpha alpha)) (/.f64 -4 (pow.f64 alpha 4)))))

localize31.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.2b

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

✓

21.5b

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

Compiler

Compiled 79 to 54 computations (31.6% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

455×	`fma-neg_binary64`
356×	`log1p-udef_binary64`
355×	`expm1-udef_binary64`
209×	`add-sqr-sqrt_binary64`
203×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	57
1	399	57
2	6507	57

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify121.0ms (1%)

Algorithm

1×	egg-herbie

Rules

455×	`distribute-rgt-in_binary64`
447×	`distribute-lft-in_binary64`
391×	`fma-def_binary64`
329×	`unsub-neg_binary64`
265×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	401	5023
1	1498	4760
2	7085	4659

Stop Event

1×	node limit

Counts

201 → 233

Calls

Call 1

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

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

eval899.0ms (7.2%)

Compiler: Compiled 31828 to 23880 computations (25% saved)

prune205.0ms (1.7%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	786	15	801
Fresh	11	7	18
Picked	1	0	1
Done	4	1	5
Total	802	23	825

Error

Counts

825 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	37.4b	(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	25.2b	(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
	26.2b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
▶	0.2b	(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
	28.7b	(/.f64 1 (*.f64 beta beta))
	16.9b	(/.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
▶	37.5b	(/.f64 1/4 (+.f64 beta 3))
▶	38.0b	(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
	4.5b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 2))
	4.8b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 beta (+.f64 2 alpha))))
▶	35.1b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
	20.4b	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
	40.0b	(/.f64 alpha (*.f64 beta beta))
	23.7b	(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
	24.4b	(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
	24.7b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
▶	24.4b	(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
	23.8b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))
	38.0b	(/.f64 (/.f64 alpha beta) beta)
	35.2b	(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
✓	62.4b	(/.f64 1 alpha)
	28.5b	(*.f64 (/.f64 1 beta) (/.f64 1 beta))
	24.4b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)

Compiler

Compiled 605 to 442 computations (26.9% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 87 to 58 computations (33.3% saved)

series15.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite107.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

417×	`fma-neg_binary64`
362×	`expm1-udef_binary64`
362×	`log1p-udef_binary64`
206×	`add-sqr-sqrt_binary64`
201×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	59
1	394	53
2	6479	53

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

Inputs

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

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

Outputs

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

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

692×	`distribute-rgt-in_binary64`
681×	`distribute-lft-in_binary64`
446×	`fma-def_binary64`
340×	`associate-r_binary64`
302×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	439	6390
1	1841	5957

Stop Event

1×	node limit

Counts

151 → 188

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1/4 (+.f64 beta 3))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	beta	@	0	(/.f64 1/4 (+.f64 beta 3))
1.0ms	beta	@	inf	(/.f64 1/4 (+.f64 beta 3))
1.0ms	beta	@	-inf	(/.f64 1/4 (+.f64 beta 3))

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`pow1_binary64`
654×	`add-log-exp_binary64`
654×	`log1p-expm1-u_binary64`
654×	`expm1-log1p-u_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	139	7
2	1721	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(/.f64 1/4 (+.f64 beta 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/4 (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 beta 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/4 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (/.f64 1/4 (+.f64 beta 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (+.f64 beta 3))) 2) (cbrt.f64 (/.f64 1/4 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/4 (+.f64 beta 3))) (sqrt.f64 (/.f64 1/4 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (+.f64 -3 (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 27 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (fma.f64 beta beta -9)) (+.f64 beta -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (+.f64 beta 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/4 (+.f64 beta 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/4 (+.f64 beta 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/4 (+.f64 beta 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 beta 3) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 (+.f64 beta 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/4 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/4 (+.f64 beta 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/4 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/4 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/4 (+.f64 beta 3))))))))

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-def_binary64`
740×	`distribute-neg-frac_binary64`
730×	`associate-l_binary64`
501×	`associate-r_binary64`
417×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	183
1	102	181
2	248	178
3	657	171
4	1955	168
5	7397	168

Stop Event

1×	node limit

Counts

34 → 36

Calls

Call 1

Inputs
1/12
(+.f64 1/12 (*.f64 -1/36 beta))
(+.f64 1/12 (+.f64 (.f64 -1/36 beta) (.f64 1/108 (pow.f64 beta 2))))
(+.f64 1/12 (+.f64 (.f64 -1/36 beta) (+.f64 (.f64 1/108 (pow.f64 beta 2)) (*.f64 -1/324 (pow.f64 beta 3)))))
(/.f64 1/4 beta)
(-.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 3/4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 9/4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3/4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 9/4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 27/4 (/.f64 1 (pow.f64 beta 4))) (.f64 3/4 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1/4 beta)
(-.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 3/4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 9/4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3/4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 9/4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 27/4 (/.f64 1 (pow.f64 beta 4))) (.f64 3/4 (/.f64 1 (pow.f64 beta 2)))))

Outputs
1/12
(+.f64 1/12 (*.f64 -1/36 beta))
(fma.f64 -1/36 beta 1/12)
(+.f64 1/12 (+.f64 (.f64 -1/36 beta) (.f64 1/108 (pow.f64 beta 2))))
(+.f64 1/12 (fma.f64 -1/36 beta (.f64 1/108 (.f64 beta beta))))
(fma.f64 -1/36 beta (fma.f64 beta (*.f64 beta 1/108) 1/12))
(fma.f64 beta (fma.f64 beta 1/108 -1/36) 1/12)
(+.f64 1/12 (+.f64 (.f64 -1/36 beta) (+.f64 (.f64 1/108 (pow.f64 beta 2)) (*.f64 -1/324 (pow.f64 beta 3)))))
(+.f64 1/12 (fma.f64 -1/36 beta (fma.f64 1/108 (.f64 beta beta) (.f64 -1/324 (pow.f64 beta 3)))))
(+.f64 1/12 (fma.f64 -1/324 (pow.f64 beta 3) (.f64 beta (+.f64 -1/36 (.f64 beta 1/108)))))
(fma.f64 beta (fma.f64 beta 1/108 -1/36) (fma.f64 -1/324 (pow.f64 beta 3) 1/12))
(fma.f64 beta (fma.f64 beta (fma.f64 beta -1/324 1/108) -1/36) 1/12)
(/.f64 1/4 beta)
(-.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 3/4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1/4 beta) (/.f64 3/4 (*.f64 beta beta)))
(+.f64 (/.f64 1/4 beta) (/.f64 -3/4 (*.f64 beta beta)))
(+.f64 (/.f64 1/4 beta) (/.f64 (/.f64 -3/4 beta) beta))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 9/4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3/4 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1/4 beta) (-.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 3/4 (*.f64 beta beta))))
(+.f64 (/.f64 1/4 beta) (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 -3/4 (*.f64 beta beta))))
(+.f64 (/.f64 1/4 beta) (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 (/.f64 -3/4 beta) beta)))
(+.f64 (+.f64 (/.f64 1/4 beta) (/.f64 9/4 (pow.f64 beta 3))) (/.f64 -3/4 (*.f64 beta beta)))
(+.f64 (/.f64 1/4 beta) (.f64 (/.f64 -1 (.f64 beta beta)) (+.f64 3/4 (/.f64 -9/4 beta))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 9/4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 27/4 (/.f64 1 (pow.f64 beta 4))) (.f64 3/4 (/.f64 1 (pow.f64 beta 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1/4 beta) (/.f64 9/4 (pow.f64 beta 3))) (/.f64 27/4 (pow.f64 beta 4))) (/.f64 3/4 (*.f64 beta beta)))
(+.f64 (/.f64 1/4 beta) (-.f64 (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 -3/4 (*.f64 beta beta))) (/.f64 27/4 (pow.f64 beta 4))))
(+.f64 (/.f64 1/4 beta) (+.f64 (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 (/.f64 -3/4 beta) beta)) (/.f64 -27/4 (pow.f64 beta 4))))
(+.f64 (/.f64 1/4 beta) (+.f64 (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 -3/4 (*.f64 beta beta))) (/.f64 -27/4 (pow.f64 beta 4))))
(+.f64 (+.f64 (/.f64 1/4 beta) (/.f64 9/4 (pow.f64 beta 3))) (+.f64 (/.f64 -3/4 (*.f64 beta beta)) (/.f64 -27/4 (pow.f64 beta 4))))
(+.f64 (/.f64 1/4 beta) (+.f64 (/.f64 -27/4 (pow.f64 beta 4)) (.f64 (/.f64 -1 (.f64 beta beta)) (+.f64 3/4 (/.f64 -9/4 beta)))))
(/.f64 1/4 beta)
(-.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 3/4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1/4 beta) (/.f64 3/4 (*.f64 beta beta)))
(+.f64 (/.f64 1/4 beta) (/.f64 -3/4 (*.f64 beta beta)))
(+.f64 (/.f64 1/4 beta) (/.f64 (/.f64 -3/4 beta) beta))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 9/4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3/4 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1/4 beta) (-.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 3/4 (*.f64 beta beta))))
(+.f64 (/.f64 1/4 beta) (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 -3/4 (*.f64 beta beta))))
(+.f64 (/.f64 1/4 beta) (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 (/.f64 -3/4 beta) beta)))
(+.f64 (+.f64 (/.f64 1/4 beta) (/.f64 9/4 (pow.f64 beta 3))) (/.f64 -3/4 (*.f64 beta beta)))
(+.f64 (/.f64 1/4 beta) (.f64 (/.f64 -1 (.f64 beta beta)) (+.f64 3/4 (/.f64 -9/4 beta))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 beta)) (.f64 9/4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 27/4 (/.f64 1 (pow.f64 beta 4))) (.f64 3/4 (/.f64 1 (pow.f64 beta 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1/4 beta) (/.f64 9/4 (pow.f64 beta 3))) (/.f64 27/4 (pow.f64 beta 4))) (/.f64 3/4 (*.f64 beta beta)))
(+.f64 (/.f64 1/4 beta) (-.f64 (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 -3/4 (*.f64 beta beta))) (/.f64 27/4 (pow.f64 beta 4))))
(+.f64 (/.f64 1/4 beta) (+.f64 (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 (/.f64 -3/4 beta) beta)) (/.f64 -27/4 (pow.f64 beta 4))))
(+.f64 (/.f64 1/4 beta) (+.f64 (+.f64 (/.f64 9/4 (pow.f64 beta 3)) (/.f64 -3/4 (*.f64 beta beta))) (/.f64 -27/4 (pow.f64 beta 4))))
(+.f64 (+.f64 (/.f64 1/4 beta) (/.f64 9/4 (pow.f64 beta 3))) (+.f64 (/.f64 -3/4 (*.f64 beta beta)) (/.f64 -27/4 (pow.f64 beta 4))))
(+.f64 (/.f64 1/4 beta) (+.f64 (/.f64 -27/4 (pow.f64 beta 4)) (.f64 (/.f64 -1 (.f64 beta beta)) (+.f64 3/4 (/.f64 -9/4 beta)))))

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 alpha beta) (/.f64 1 beta))

Compiler

Compiled 18 to 9 computations (50% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`pow1_binary64`
665×	`add-log-exp_binary64`
665×	`log1p-expm1-u_binary64`
665×	`expm1-log1p-u_binary64`
651×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	146	7
2	1924	7

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify181.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	11	168
2	20	168
3	35	168
4	75	168
5	224	168
6	834	168
7	2043	168
8	2209	168
9	2393	168
10	2601	168
11	2898	168
12	3291	168
13	3772	168
14	4340	168
15	5028	168
16	5863	168
17	6255	168
18	6543	168
19	6819	168
20	6891	168
21	6927	168

Stop Event

1×	node limit

Counts

66 → 43

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 16 computations (36% saved)

series9.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite103.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

472×	`log-prod_binary64`
364×	`exp-prod_binary64`
282×	`pow-prod-down_binary64`
229×	`pow2_binary64`
177×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	182	17
2	2704	17

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

726×	`unswap-sqr_binary64`
702×	`fma-def_binary64`
442×	`fma-neg_binary64`
403×	`associate-l_binary64`
310×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	491
1	101	468
2	278	464
3	1040	450
4	5965	450

Stop Event

1×	node limit

Counts

171 → 157

Calls

Call 1

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

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

localize40.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 beta beta))
✓	10.9b	(/.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)

series15.0ms (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)))
2.0ms	alpha	@	-inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
2.0ms	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)))

rewrite120.0ms (1%)

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

simplify104.0ms (0.8%)

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

eval697.0ms (5.6%)

Compiler: Compiled 25496 to 18265 computations (28.4% saved)

prune121.0ms (1%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	715	11	726
Fresh	3	14	17
Picked	1	0	1
Done	5	0	5
Total	724	25	749

Error

Counts

749 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	37.4b	(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	38.4b	(/.f64 1 (/.f64 beta (/.f64 alpha beta)))
	23.9b	(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
	28.7b	(/.f64 1 (*.f64 beta beta))
	16.9b	(/.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
	4.5b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 2))
	4.8b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 beta (+.f64 2 alpha))))
	28.5b	(/.f64 (/.f64 1 beta) beta)
	60.1b	(/.f64 1/4 beta)
	23.8b	(*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
	35.2b	(.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
	20.4b	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
	40.0b	(/.f64 alpha (*.f64 beta beta))
	24.4b	(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
	32.9b	(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
	24.7b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	39.7b	(+.f64 1/12 (*.f64 -1/36 beta))
	23.8b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))
	24.4b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	38.9b	1/12
	38.0b	(/.f64 (/.f64 1 beta) (/.f64 beta alpha))
	35.2b	(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
	26.2b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
	38.0b	(/.f64 (/.f64 alpha beta) beta)
	28.5b	(*.f64 (/.f64 1 beta) (/.f64 1 beta))

Compiler

Compiled 305 to 225 computations (26.2% saved)

regimes129.0ms (1%)

Counts

67 → 1

Calls

Call 1

Inputs
1/12
(/.f64 1/4 beta)
(/.f64 1 alpha)
(/.f64 (/.f64 1 beta) beta)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (/.f64 beta (/.f64 alpha beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 2))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 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 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 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.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 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
(pow.f64 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)) -1)
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
(/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 alpha)) -1) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 (/.f64 1 (.f64 beta beta)) (+.f64 (-.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (fma.f64 2 alpha 4) (/.f64 beta (/.f64 (-.f64 -1 alpha) beta))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(.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 (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 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))

Calls

4 calls:

35.0ms	alpha
33.0ms	beta
17.0ms	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
16.0ms	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))

Results

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

Compiler

Compiled 1124 to 746 computations (33.6% saved)

regimes68.0ms (0.5%)

Counts

51 → 1

Calls

Call 1

Inputs
1/12
(/.f64 1/4 beta)
(/.f64 1 alpha)
(/.f64 (/.f64 1 beta) beta)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (/.f64 beta (/.f64 alpha beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 2))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 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 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 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))

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

Calls

2 calls:

27.0ms	beta
24.0ms	alpha

Results

Error	Segments	Branch
0.2b	1	`alpha`
0.2b	1	`beta`

Compiler

Compiled 623 to 415 computations (33.4% saved)

regimes123.0ms (1%)

Counts

50 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/4 beta)
(/.f64 1 alpha)
(/.f64 (/.f64 1 beta) beta)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (/.f64 beta (/.f64 alpha beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 2))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 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 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 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))

Outputs

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

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

Calls

2 calls:

55.0ms	beta
53.0ms	alpha

Results

Error	Segments	Branch
0.4b	2	`alpha`
0.2b	2	`beta`

Compiler

Compiled 598 to 398 computations (33.4% saved)

bsearch32.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	781736257164064.0	16803392156800884.0

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes113.0ms (0.9%)

Counts

49 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/4 beta)
(/.f64 1 alpha)
(/.f64 (/.f64 1 beta) beta)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (/.f64 beta (/.f64 alpha beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 2))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 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 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 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))

Outputs

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

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

Calls

2 calls:

53.0ms	beta
44.0ms	alpha

Results

Error	Segments	Branch
0.4b	2	`alpha`
0.3b	2	`beta`

Compiler

Compiled 575 to 382 computations (33.6% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	1.2599522046876413e+54	3.683815886130405e+58

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes113.0ms (0.9%)

Counts

48 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/4 beta)
(/.f64 1 alpha)
(/.f64 (/.f64 1 beta) beta)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (/.f64 beta (/.f64 alpha beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 2))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 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 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 beta 3) (+.f64 beta 2))))

Outputs

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

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

Calls

2 calls:

51.0ms	alpha
46.0ms	beta

Results

Error	Segments	Branch
0.6b	2	`alpha`
0.4b	2	`beta`

Compiler

Compiled 552 to 366 computations (33.7% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	781736257164064.0	16803392156800884.0

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes101.0ms (0.8%)

Counts

46 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/4 beta)
(/.f64 1 alpha)
(/.f64 (/.f64 1 beta) beta)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (/.f64 beta (/.f64 alpha beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 2))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 1)
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))

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

Calls

2 calls:

43.0ms	beta
43.0ms	alpha

Results

Error	Segments	Branch
0.6b	2	`alpha`
0.4b	2	`beta`

Compiler

Compiled 510 to 337 computations (33.9% saved)

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	781736257164064.0	16803392156800884.0

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes92.0ms (0.7%)

Counts

41 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/4 beta)
(/.f64 1 alpha)
(/.f64 (/.f64 1 beta) beta)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (/.f64 beta (/.f64 alpha beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 2))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))

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

Calls

2 calls:

41.0ms	beta
40.0ms	alpha

Results

Error	Segments	Branch
0.6b	2	`alpha`
0.4b	2	`beta`

Compiler

Compiled 407 to 264 computations (35.1% saved)

bsearch31.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	781736257164064.0	16803392156800884.0

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes90.0ms (0.7%)

Counts

39 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/4 beta)
(/.f64 1 alpha)
(/.f64 (/.f64 1 beta) beta)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (/.f64 beta (/.f64 alpha beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 2))

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

Calls

2 calls:

42.0ms	alpha
37.0ms	beta

Results

Error	Segments	Branch
0.6b	2	`alpha`
0.4b	2	`beta`

Compiler

Compiled 369 to 237 computations (35.8% saved)

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	781736257164064.0	16803392156800884.0

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes280.0ms (2.3%)

Counts

38 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/4 beta)
(/.f64 1 alpha)
(/.f64 (/.f64 1 beta) beta)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (/.f64 beta (/.f64 alpha beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))

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

Calls

2 calls:

180.0ms	alpha
89.0ms	beta

Results

Error	Segments	Branch
16.3b	2	`alpha`
1.2b	2	`beta`

Compiler

Compiled 350 to 224 computations (36% saved)

bsearch42.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
41.0ms	1.2638224763950707e-5	24713.093604545993

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes70.0ms (0.6%)

Counts

28 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/4 beta)
(/.f64 1 alpha)
(/.f64 (/.f64 1 beta) beta)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (/.f64 beta (/.f64 alpha beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

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

Calls

2 calls:

36.0ms	alpha
27.0ms	beta

Results

Error	Segments	Branch
16.3b	3	`alpha`
1.2b	2	`beta`

Compiler

Compiled 198 to 123 computations (37.9% saved)

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	1.2638224763950707e-5	24713.093604545993

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes72.0ms (0.6%)

Counts

27 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/4 beta)
(/.f64 1 alpha)
(/.f64 (/.f64 1 beta) beta)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (/.f64 beta (/.f64 alpha beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))

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

Calls

2 calls:

39.0ms	alpha
27.0ms	beta

Results

Error	Segments	Branch
16.4b	3	`alpha`
1.3b	2	`beta`

Compiler

Compiled 187 to 114 computations (39% saved)

bsearch31.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	1.2638224763950707e-5	24713.093604545993

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes67.0ms (0.5%)

Counts

21 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/4 beta)
(/.f64 1 alpha)
(/.f64 (/.f64 1 beta) beta)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (/.f64 beta (/.f64 alpha beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))

Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)

Calls

2 calls:

42.0ms	alpha
20.0ms	beta

Results

Error	Segments	Branch
17.4b	4	`alpha`
1.3b	2	`beta`

Compiler

Compiled 131 to 73 computations (44.3% saved)

bsearch31.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	1.2638224763950707e-5	24713.093604545993

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes71.0ms (0.6%)

Counts

14 → 3

Calls

Call 1

Inputs
1/12
(/.f64 1/4 beta)
(/.f64 1 alpha)
(/.f64 (/.f64 1 beta) beta)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (/.f64 beta (/.f64 alpha beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))

Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)

Calls

2 calls:

40.0ms	alpha
23.0ms	beta

Results

Error	Segments	Branch
17.4b	5	`alpha`
3.5b	3	`beta`

Compiler

Compiled 78 to 43 computations (44.9% saved)

bsearch63.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	1.8837161419733702e+161	3.2884060216032783e+162
29.0ms	1.2638224763950707e-5	24713.093604545993

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes32.0ms (0.3%)

Counts

5 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/4 beta)
(/.f64 1 alpha)
(/.f64 (/.f64 1 beta) beta)
(+.f64 1/12 (*.f64 -1/36 beta))

Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 1 beta) beta)

Calls

2 calls:

18.0ms	alpha
13.0ms	beta

Results

Error	Segments	Branch
21.6b	4	`alpha`
5.4b	2	`beta`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch32.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	1.2638224763950707e-5	24713.093604545993

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes24.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/4 beta)
(/.f64 1 alpha)
(/.f64 (/.f64 1 beta) beta)

Outputs
1/12
(/.f64 (/.f64 1 beta) beta)

Calls

2 calls:

16.0ms	alpha
7.0ms	beta

Results

Error	Segments	Branch
21.6b	4	`alpha`
5.6b	2	`beta`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch32.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	1.2638224763950707e-5	24713.093604545993

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes14.0ms (0.1%)

Accuracy

Total -24.9b remaining (-66%)

Threshold costs -24.9b (-66%)

Counts

3 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/4 beta)
(/.f64 1 alpha)

Outputs
1/12
(/.f64 1/4 beta)

Calls

2 calls:

9.0ms	beta
4.0ms	alpha

Results

Error	Segments	Branch
38.9b	1	`alpha`
37.7b	2	`beta`

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
29.0ms	1.2638224763950707e-5	24713.093604545993

Compiler

Compiled 42 to 28 computations (33.3% saved)

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

17×	`+-commutative_binary64`
9×	`*-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	602
1	110	602
2	116	602
3	124	602
4	130	602
5	133	602
6	134	602

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 781736257164064) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 beta 3)) (/.f64 (.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 1259952204687641281685176964855825432973803702066348032) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 beta 3)) (.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))))
(if (<=.f64 beta 781736257164064) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))
(if (<=.f64 beta 781736257164064) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 781736257164064) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 781736257164064) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 233134097766617/18446744073709551616) (/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 233134097766617/18446744073709551616) (/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 233134097766617/18446744073709551616) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 233134097766617/18446744073709551616) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 233134097766617/18446744073709551616) (+.f64 1/12 (*.f64 -1/36 beta)) (if (<=.f64 beta 188371614197337015776647578986388114182620106323777910451798449887579835293933009328012107935767968727346708687824097212588254293884477507681803961566673850335232) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 233134097766617/18446744073709551616) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 233134097766617/18446744073709551616) 1/12 (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 233134097766617/18446744073709551616) 1/12 (/.f64 1/4 beta))
1/12

Outputs
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 781736257164064) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 beta 3)) (/.f64 (.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 781736257164064) (/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta 3)) (/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 781736257164064) (/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta 3)) (/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 1259952204687641281685176964855825432973803702066348032) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 beta 3)) (.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))))
(if (<=.f64 beta 1259952204687641281685176964855825432973803702066348032) (/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta 3)) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 alpha (+.f64 beta 3)))))
(if (<=.f64 beta 1259952204687641281685176964855825432973803702066348032) (/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta 3)) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (+.f64 alpha (+.f64 beta 3)))))
(if (<=.f64 beta 781736257164064) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))
(if (<=.f64 beta 781736257164064) (/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (+.f64 1 (+.f64 2 (+.f64 beta alpha)))))
(if (<=.f64 beta 781736257164064) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 781736257164064) (/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 781736257164064) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 781736257164064) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 781736257164064) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 781736257164064) (/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 233134097766617/18446744073709551616) (/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 233134097766617/18446744073709551616) (/.f64 1/4 (+.f64 1 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 233134097766617/18446744073709551616) (/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 233134097766617/18446744073709551616) (/.f64 1/4 (+.f64 1 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 233134097766617/18446744073709551616) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 233134097766617/18446744073709551616) (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 233134097766617/18446744073709551616) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 233134097766617/18446744073709551616) (+.f64 1/12 (*.f64 beta -1/36)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 233134097766617/18446744073709551616) (+.f64 1/12 (*.f64 -1/36 beta)) (if (<=.f64 beta 188371614197337015776647578986388114182620106323777910451798449887579835293933009328012107935767968727346708687824097212588254293884477507681803961566673850335232) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 233134097766617/18446744073709551616) (+.f64 1/12 (*.f64 beta -1/36)) (if (<=.f64 beta 188371614197337015776647578986388114182620106323777910451798449887579835293933009328012107935767968727346708687824097212588254293884477507681803961566673850335232) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 233134097766617/18446744073709551616) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 233134097766617/18446744073709551616) (+.f64 1/12 (*.f64 beta -1/36)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 233134097766617/18446744073709551616) 1/12 (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 233134097766617/18446744073709551616) 1/12 (/.f64 1/4 beta))
1/12

Compiler

Compiled 446 to 318 computations (28.7% saved)

soundness228.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 798 to 552 computations (30.8% saved)

end274.0ms (2.2%)

Remove: (sort alpha beta)
Compiler: Compiled 468 to 319 computations (31.8% saved)