Details

analyze349.0ms (1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
25%	25%	74.9%	0.1%	0%	0%	0%	8
25%	25%	74.9%	0.1%	0%	0%	0%	9
28.1%	25%	64%	0.1%	10.9%	0%	0%	10
36.4%	31.2%	54.6%	0.1%	14%	0%	0%	11
46.9%	39%	44.1%	0.1%	16.8%	0%	0%	12

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample4.0s (11%)

Results

1.1s	5416×	body	256	valid
1.0s	1877×	body	1024	valid
848.0ms	1517×	body	1024	infinite
366.0ms	959×	body	512	valid
323.0ms	1609×	body	256	infinite
284.0ms	797×	body	512	infinite
3.0ms	4×	body	2048	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess185.0ms (0.5%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))
(+.f64 (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 th th)) (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 th th)))

Outputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 th th)) (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (cos.f64 a1) (.f64 (sqrt.f64 1/2) (fma.f64 th th (*.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 th th)))
(.f64 (cos.f64 a2) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 th th))))

Compiler

Compiled 25 to 18 computations (28% saved)

simplify71.0ms (0.2%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

Outputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))

eval1.0ms (0%)

Compiler: Compiled 34 to 20 computations (41.2% saved)

prune3.0ms (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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
▶	0.4b	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))

Compiler

Compiled 37 to 25 computations (32.4% saved)

localize27.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))
✓	0.4b	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))

Compiler

Compiled 41 to 13 computations (68.3% saved)

series103.0ms (0.3%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	a1	@	0	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
2.0ms	th	@	inf	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
2.0ms	th	@	-inf	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
2.0ms	th	@	0	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
1.0ms	a1	@	inf	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))

Compiler

Compiled 5860 to 4025 computations (31.3% saved)

rewrite253.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

223×	`egg-rr`
94×	`egg-rr`

Counts

2 → 317

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 2)) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a2 a2)) (/.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cos.f64 th)) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a2 (cbrt.f64 a2)) (/.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a2) (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) a2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a1 a1) (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 a1 a1) (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th))))) (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th))))) 2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cbrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (sqrt.f64 1/8) (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) 1/2 (.f64 (sqrt.f64 1/8) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (sqrt.f64 1/8) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cbrt.f64 2) (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))))) 0) (/.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) 2)) (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))))))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) (sqrt.f64 1/2))) 0) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) 2) (sqrt.f64 1/2))) 0) (/.f64 (cbrt.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) 2) (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (cbrt.f64 (sqrt.f64 1/2)))) 2) 0) (/.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (cbrt.f64 (sqrt.f64 1/2)))) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (cbrt.f64 (sqrt.f64 1/2)))) 2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) 0) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (cbrt.f64 2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2) (sqrt.f64 1/2))) 0) (/.f64 (.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2) (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (.f64 a1 a1))) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (cbrt.f64 2) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (.f64 a1 a1))) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 1 (/.f64 (cbrt.f64 2) (.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (/.f64 (cbrt.f64 2) (.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 (sqrt.f64 1/8) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (sqrt.f64 1/8) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))))) 0) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (sqrt.f64 1/8) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (sqrt.f64 1/8) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))))) (-.f64 (.f64 (sqrt.f64 1/8) (.f64 (cos.f64 th) (fma.f64 a2 a2 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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))) 2) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) 2)) 2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) 2)) (cbrt.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 th)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) 2) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) (cbrt.f64 (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) (*.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (cbrt.f64 (cos.f64 th))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) (cbrt.f64 (*.f64 (cos.f64 th) (cbrt.f64 (cos.f64 th))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2)) (cbrt.f64 (*.f64 (cos.f64 th) (cbrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th)))) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cos.f64 th))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (cbrt.f64 (cos.f64 th)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 th) (cbrt.f64 (cos.f64 th)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (cbrt.f64 (cos.f64 th)))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (+.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (cos.f64 th))) (*.f64 (*.f64 a1 a1) (cbrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (+.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (cos.f64 th))) (*.f64 (*.f64 a2 a2) (cbrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1))))) 3) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)) (cos.f64 th)) (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)) (*.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) 3))))))

simplify897.0ms (2.5%)

Algorithm

1×

egglog

Counts

357 → 492

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/720 (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))))))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 2)) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (.f64 a2 a2)) (/.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cos.f64 th)) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))
(fma.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))
(fma.f64 (.f64 a2 (cbrt.f64 a2)) (/.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))
(fma.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 a2) (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) a2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))
(fma.f64 (.f64 a1 a1) (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th)))))
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(.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))))
(.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))))) 2) (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))))) 2) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) 2)) 2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))))))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) 2)))
(.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) 2)) (cbrt.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))))
(.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) 2)))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (.f64 a1 a1)))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) 2) (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))) (cbrt.f64 (cos.f64 th)))
(.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) (cbrt.f64 (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cos.f64 th))))
(.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) (*.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (cbrt.f64 (cos.f64 th))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2))
(.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) (cbrt.f64 (*.f64 (cos.f64 th) (cbrt.f64 (cos.f64 th))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2))
(.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2)) (cbrt.f64 (*.f64 (cos.f64 th) (cbrt.f64 (cos.f64 th)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th)))) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))))))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cos.f64 th))) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th)))))
(.f64 (.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (cbrt.f64 (cos.f64 th)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th)))))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (cbrt.f64 (cos.f64 th)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (.f64 (cbrt.f64 (.f64 (cos.f64 th) (cbrt.f64 (cos.f64 th)))) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th)))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (+.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (cos.f64 th))) (.f64 (*.f64 a1 a1) (cbrt.f64 (cos.f64 th)))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (+.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (cos.f64 th))) (.f64 (*.f64 a2 a2) (cbrt.f64 (cos.f64 th)))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))))) 3) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))
(.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)))
(.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) 3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))))
(.f64 (.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1)))))
(.f64 1 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) 1)
(.f64 2 (.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) 1/2))
(.f64 2 (.f64 1/2 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))))
(.f64 1/2 (+.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) 1)
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) 3) 1/3)
(pow.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) 1)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) 3)
(neg.f64 (.f64 -1 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(neg.f64 (.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) -1))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) 3))

Outputs
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th))) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4))) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th))) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4))) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th))) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1))))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 -1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 th th))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 -1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (.f64 1/24 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4)))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/720 (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))))))
(+.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 -1/720 (.f64 (pow.f64 th 6) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 -1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (.f64 1/24 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4))))))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 (.f64 a2 a2) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 2)) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 2)) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(fma.f64 (cbrt.f64 (.f64 a2 a2)) (/.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cos.f64 th)) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))
(fma.f64 (cbrt.f64 (.f64 a2 a2)) (/.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cos.f64 th)) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))
(fma.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))
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(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))))) 3) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))))) 3) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))
(.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)))
(.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) 3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))))
(.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)))
(.f64 (.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))
(.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1)))))
(.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)))
(.f64 1 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) 1)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(.f64 2 (.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) 1/2))
(.f64 2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 1/2 (cos.f64 th))))
(.f64 2 (.f64 1/2 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))))
(.f64 2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 1/2 (cos.f64 th))))
(.f64 1/2 (+.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(.f64 2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 1/2 (cos.f64 th))))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) 1)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) 3) 1/3)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(pow.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) 1)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) 3)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(neg.f64 (.f64 -1 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(neg.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))
(neg.f64 (.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) -1))
(neg.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) 3))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
✓	0.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
✓	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 59 to 29 computations (50.8% saved)

series46.0ms (0.1%)

Counts

3 → 34

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	a1	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
1.0ms	th	@	inf	(/.f64 (cos.f64 th) (sqrt.f64 2))
1.0ms	a2	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
1.0ms	th	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
1.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))

Compiler

Compiled 3350 to 2565 computations (23.4% saved)

rewrite141.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

131×	`egg-rr`
125×	`egg-rr`
91×	`egg-rr`

Counts

3 → 347

Calls

Call 1

Inputs
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))

Outputs
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(.f64 (cos.f64 th) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (sqrt.f64 2))) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 8)))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 (neg.f64 1/4)) (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 (cbrt.f64 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (neg.f64 (sqrt.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 (cbrt.f64 (cos.f64 th))) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) 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(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2))) (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 (sqrt.f64 2)))) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2))) (sqrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (cos.f64 th)) (neg.f64 (cbrt.f64 (sqrt.f64 2)))) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 2) (neg.f64 (sqrt.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) -1) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 (sqrt.f64 2)))) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 2) (sqrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 2) (neg.f64 (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) (neg.f64 (cbrt.f64 (sqrt.f64 2)))) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 2) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 1) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 2) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 -1) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (/.f64 (neg.f64 (cos.f64 th)) (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (sqrt.f64 (sqrt.f64 2)))) (/.f64 (neg.f64 (cos.f64 th)) 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(cbrt.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (neg.f64 (cos.f64 th))) (.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 2) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 th)) (.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2))) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 1/2) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (cbrt.f64 (neg.f64 (cos.f64 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(sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) -1) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))) (*.f64 a1 a1)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)) 2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (cos.f64 th)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (*.f64 a1 a1))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (neg.f64 (*.f64 a1 a1)) (cos.f64 th)) 1) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 a1 a1)) (cos.f64 th))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)) 3))))))

simplify682.0ms (1.9%)

Algorithm

1×

egglog

Counts

381 → 489

Calls

Call 1

Inputs
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a1 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(if (!=.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 0) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (cos.f64 th) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 0) (/.f64 (neg.f64 (cbrt.f64 (cos.f64 th))) (/.f64 (neg.f64 (sqrt.f64 2)) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) (/.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 2))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (cos.f64 th) 0) (/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (cos.f64 th)) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2))) 0) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 1 0) (.f64 (cos.f64 th) (sqrt.f64 1/2)) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (cos.f64 th)) 0) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th)))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(+.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) 1/2) (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) 1/2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 th) (sqrt.f64 1/2))) (.f64 1/2 (.f64 (cos.f64 th) (sqrt.f64 1/2))))
(-.f64 0 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(-.f64 (/.f64 0 (neg.f64 (sqrt.f64 2))) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 8)))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 (neg.f64 1/4)) (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (neg.f64 (sqrt.f64 (sqrt.f64 2)))))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 (cos.f64 th))) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) 2)))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (neg.f64 (cbrt.f64 2))))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 (cos.f64 th))) 1) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 -1 (sqrt.f64 (sqrt.f64 2))) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 (sqrt.f64 2)))))
(*.f64 (/.f64 -1 (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (/.f64 (cos.f64 th) (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) 2)))
(*.f64 (/.f64 -1 (cbrt.f64 (sqrt.f64 2))) (/.f64 (cos.f64 th) (neg.f64 (cbrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 th)) -1) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2))) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2))) (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) 2)))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 (sqrt.f64 2)))) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2))) (sqrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 th)) (neg.f64 (cbrt.f64 (sqrt.f64 2)))) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 2) (neg.f64 (sqrt.f64 (sqrt.f64 2)))))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) -1) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 (sqrt.f64 2)))) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 2) (sqrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 2) (neg.f64 (cbrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) (neg.f64 (cbrt.f64 (sqrt.f64 2)))) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 2) (cbrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 1) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 2) (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 -1) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (/.f64 (neg.f64 (cos.f64 th)) (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) 2)))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 (sqrt.f64 2)))) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (neg.f64 (cbrt.f64 (sqrt.f64 2)))) (/.f64 (neg.f64 (cos.f64 th)) (cbrt.f64 2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2))) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (cbrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 1/2)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 -1 (sqrt.f64 2)))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cos.f64 th) (cbrt.f64 1/2)))
(.f64 1 (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) 1)
(*.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (cos.f64 th)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 1/2)) (cbrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 (neg.f64 1/4)))
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(.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 1/2))) (.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 1/2))) 2) a1))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 1/2)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 1/2)))) 2) 2) (cbrt.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)))))
(.f64 (neg.f64 (cos.f64 th)) (.f64 (/.f64 -1 (sqrt.f64 2)) (*.f64 a1 a1)))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 1/2)) (.f64 a1 a1)))
(.f64 (pow.f64 2 (neg.f64 1/4)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2))) (*.f64 a1 a1)))
(.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 8)))) (.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 (sqrt.f64 2))) (*.f64 a1 a1)))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (.f64 (cos.f64 th) (cbrt.f64 1/2)) (.f64 a1 a1)))
(.f64 (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 (neg.f64 1/4)))
(.f64 (.f64 (neg.f64 (*.f64 a1 a1)) (cos.f64 th)) (/.f64 -1 (sqrt.f64 2)))
(.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (pow.f64 2 (neg.f64 1/4)) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2))))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 2)))
(.f64 (cbrt.f64 1/2) (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(.f64 (.f64 (/.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))) (sqrt.f64 2)) (cbrt.f64 (.f64 a1 (cbrt.f64 a1)))) (pow.f64 (cbrt.f64 (.f64 a1 (cbrt.f64 a1))) 2))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) (.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (.f64 a1 a1))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) 2))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))) (neg.f64 (cbrt.f64 2)))
(/.f64 (/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2)))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (.f64 (neg.f64 (.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 1/2)) 2)) (cbrt.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2))) (.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) -1) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))) (*.f64 a1 a1)) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)) 1)
(/.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a1 a1))) (cbrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 1/2)) 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (.f64 a1 a1))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 (*.f64 a1 a1) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 a1 a1)) (cos.f64 th)) 1) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 a1 a1)) (cos.f64 th))) (sqrt.f64 2))
(pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)) 1)
(neg.f64 (.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (.f64 a1 a1)))
(neg.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))))
(neg.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)) 3))

Outputs
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 -1/2 (.f64 (.f64 a2 a2) (*.f64 th th))) (sqrt.f64 2)))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(fma.f64 1/24 (/.f64 (.f64 (.f64 a2 a2) (pow.f64 th 4)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 -1/2 (.f64 (.f64 a2 a2) (*.f64 th th))) (sqrt.f64 2))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))))
(fma.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (.f64 a2 a2)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (.f64 (.f64 a2 a2) (pow.f64 th 4)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 -1/2 (.f64 (.f64 a2 a2) (*.f64 th th))) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 a1 a1) (.f64 th th)) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 a1 a1) (.f64 th th)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (.f64 (.f64 a1 a1) (pow.f64 th 4)) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a1 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 a1 a1) (.f64 th th)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (.f64 (.f64 a1 a1) (pow.f64 th 4)) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(if (!=.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 0) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (cos.f64 th) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (cos.f64 th) 0) (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) -1) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 0) (/.f64 (neg.f64 (cbrt.f64 (cos.f64 th))) (/.f64 (neg.f64 (sqrt.f64 2)) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 0) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) (/.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) 2))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (cos.f64 th) 0) (/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (cos.f64 th) 0) (/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (cos.f64 th)) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (cos.f64 th)) 0) (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) -1) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2))) 0) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 1 0) (.f64 (cos.f64 th) (sqrt.f64 1/2)) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (cos.f64 th)) 0) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th)))) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(+.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) 1/2) (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) 1/2))
(.f64 2 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) 1/2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 th) (sqrt.f64 1/2))) (.f64 1/2 (.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 2 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) 1/2))
(-.f64 0 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(-.f64 (/.f64 0 (neg.f64 (sqrt.f64 2))) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 8)))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 (sqrt.f64 2))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 8))) (pow.f64 (cos.f64 th) 2))) (sqrt.f64 (sqrt.f64 2)))
(*.f64 (pow.f64 2 (neg.f64 1/4)) (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2))))
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(.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 1/2))) (.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 1/2))) 2) a1))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 1/2)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 1/2)))) 2) 2) (cbrt.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))) 2) 2)) (cbrt.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))))
(.f64 (neg.f64 (cos.f64 th)) (.f64 (/.f64 -1 (sqrt.f64 2)) (*.f64 a1 a1)))
(.f64 (neg.f64 (cos.f64 th)) (/.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 1/2)) (.f64 a1 a1)))
(.f64 (pow.f64 2 (neg.f64 1/4)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2))) (*.f64 a1 a1)))
(/.f64 (.f64 (pow.f64 2 -1/4) (.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 (sqrt.f64 2)))
(.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 8)))) (.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 (sqrt.f64 2))) (*.f64 a1 a1)))
(.f64 (/.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 8))) (pow.f64 (cos.f64 th) 2))) (sqrt.f64 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (.f64 (cos.f64 th) (cbrt.f64 1/2)) (.f64 a1 a1)))
(.f64 (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))) (.f64 (.f64 a1 a1) (cbrt.f64 1/2)))
(.f64 (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 (neg.f64 1/4)))
(/.f64 (.f64 (pow.f64 2 -1/4) (.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (neg.f64 (*.f64 a1 a1)) (cos.f64 th)) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (neg.f64 (*.f64 a1 a1)) (cos.f64 th)) -1) (sqrt.f64 2))
(.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (pow.f64 2 (neg.f64 1/4)) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (pow.f64 2 -1/4) (.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 (sqrt.f64 2)))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(.f64 (cbrt.f64 1/2) (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (.f64 (/.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))) (sqrt.f64 2)) (cbrt.f64 (.f64 a1 (cbrt.f64 a1)))) (pow.f64 (cbrt.f64 (.f64 a1 (cbrt.f64 a1))) 2))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (cos.f64 th))) (.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (.f64 a1 a1))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2) (neg.f64 (cos.f64 th)))) (.f64 a1 a1)) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) 2))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))) (neg.f64 (cbrt.f64 2)))
(/.f64 (/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (neg.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2)))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (neg.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (neg.f64 (.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 1/2)) 2)) (cbrt.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (pow.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2))) (.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) -1) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) -1) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))) (*.f64 a1 a1)) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)) 1)
(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))
(/.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a1 a1))) (cbrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 1/2)) 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (pow.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (.f64 a1 a1))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2) (cos.f64 th))) (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 (*.f64 a1 a1) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 1/2)) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 a1 a1)) (cos.f64 th)) 1) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 a1 a1)) (cos.f64 th))) (sqrt.f64 2))
(neg.f64 (/.f64 (.f64 (neg.f64 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2))) 3)
(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))
(pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)) 3) 1/3)
(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))
(pow.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)) 1)
(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (.f64 a1 a1)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(neg.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(neg.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(cbrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)) 3))
(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))

eval497.0ms (1.4%)

Compiler: Compiled 33135 to 15743 computations (52.5% saved)

prune410.0ms (1.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	1089	13	1102
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	1091	13	1104

Error

Counts

1104 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
▶	1.1b	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
▶	0.4b	(+.f64 (if (!=.f64 a1 0) (/.f64 (.f64 (cos.f64 th) a1) (/.f64 (sqrt.f64 2) a1)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
	12.3b	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.4b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (if (!=.f64 a2 0) (/.f64 (.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))))
	12.4b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
	0.4b	(+.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 1/2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.4b	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
	0.5b	(.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))) (cos.f64 th))
▶	28.1b	(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
	24.3b	(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
	28.2b	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
▶	26.1b	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))

Compiler

Compiled 482 to 334 computations (30.7% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
✓	0.3b	(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))
✓	0.5b	(/.f64 (sqrt.f64 2) a1)
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 124 to 59 computations (52.4% saved)

series17.0ms (0%)

Counts

2 → 16

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a1	@	inf	(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))
1.0ms	a1	@	0	(/.f64 (sqrt.f64 2) a1)
0.0ms	th	@	0	(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))
0.0ms	th	@	-inf	(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))
0.0ms	th	@	inf	(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))

Compiler

Compiled 1510 to 1135 computations (24.8% saved)

rewrite115.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

97×	`egg-rr`
56×	`egg-rr`

Counts

2 → 153

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 2) a1)
(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))

Outputs
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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (sqrt.f64 8) (pow.f64 a1 3)))))))

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(*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3))))))

simplify680.0ms (1.9%)

Algorithm

1×

egglog

Counts

169 → 169

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (pow.f64 a1 2)))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 2)) 0) (/.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 a1 (sqrt.f64 (sqrt.f64 1/2)))) (/.f64 (sqrt.f64 2) a1))
(if (!=.f64 (cbrt.f64 2) 0) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 (cbrt.f64 1/2))) (/.f64 (sqrt.f64 2) a1))
(if (!=.f64 (sqrt.f64 2) 0) (/.f64 (sqrt.f64 2) a1) (/.f64 (sqrt.f64 2) a1))
(if (!=.f64 1 0) (/.f64 (sqrt.f64 2) a1) (/.f64 (sqrt.f64 2) a1))
(if (!=.f64 (cbrt.f64 (sqrt.f64 2)) 0) (/.f64 (cbrt.f64 2) (/.f64 a1 (cbrt.f64 (sqrt.f64 2)))) (/.f64 (sqrt.f64 2) a1))
(if (!=.f64 1/2 0) (/.f64 (sqrt.f64 2) a1) (/.f64 (sqrt.f64 2) a1))
(if (!=.f64 (sqrt.f64 (sqrt.f64 2)) 0) (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 2))) (/.f64 (neg.f64 a1) (sqrt.f64 (sqrt.f64 2)))) (/.f64 (sqrt.f64 2) a1))
(if (!=.f64 (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) 2) 0) (/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) (/.f64 (neg.f64 a1) (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) 2))) (/.f64 (sqrt.f64 2) a1))
(if (!=.f64 (neg.f64 (sqrt.f64 (sqrt.f64 2))) 0) (/.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 a1 (sqrt.f64 (sqrt.f64 1/2)))) (/.f64 (sqrt.f64 2) a1))
(if (!=.f64 (cbrt.f64 2) 0) (/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) (/.f64 (neg.f64 a1) (cbrt.f64 2))) (/.f64 (sqrt.f64 2) a1))
(if (!=.f64 (neg.f64 (sqrt.f64 2)) 0) (/.f64 (sqrt.f64 2) a1) (/.f64 (sqrt.f64 2) a1))
(if (!=.f64 (neg.f64 (cbrt.f64 2)) 0) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 (cbrt.f64 1/2))) (/.f64 (sqrt.f64 2) a1))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) a1) 1/2) (.f64 (/.f64 (sqrt.f64 2) a1) 1/2))
(+.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) a1)) (.f64 1/2 (/.f64 (sqrt.f64 2) a1)))
(-.f64 (/.f64 0 (neg.f64 a1)) (/.f64 (sqrt.f64 2) (neg.f64 a1)))
(-.f64 0 (/.f64 (sqrt.f64 2) (neg.f64 a1)))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) a1) (cbrt.f64 2))
(*.f64 (sqrt.f64 2) (/.f64 1 a1))
(*.f64 (/.f64 1 a1) (sqrt.f64 2))
(*.f64 (sqrt.f64 (sqrt.f64 2)) (/.f64 (sqrt.f64 (sqrt.f64 2)) a1))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 2) a1))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sqrt.f64 8)) a1)) (cbrt.f64 (/.f64 (sqrt.f64 (sqrt.f64 8)) (.f64 a1 a1))))
(.f64 (cbrt.f64 (/.f64 1 a1)) (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 a1 a1))))
(*.f64 (/.f64 (cbrt.f64 2) a1) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 2)) a1) (sqrt.f64 (sqrt.f64 2)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sqrt.f64 8)) (.f64 a1 a1))) (cbrt.f64 (/.f64 (sqrt.f64 (sqrt.f64 8)) a1)))
(.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 a1 a1))) (cbrt.f64 (/.f64 1 a1)))
(*.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 a1)) (pow.f64 (cbrt.f64 (/.f64 1 a1)) 2))
(.f64 (.f64 (/.f64 1 a1) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (/.f64 (cbrt.f64 2) a1) 1))
(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (/.f64 (sqrt.f64 (sqrt.f64 2)) a1) 1))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sqrt.f64 8)) a1)) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sqrt.f64 8)) (*.f64 a1 a1))) 1))
(.f64 (cbrt.f64 (/.f64 1 a1)) (.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 a1 a1))) 1))
(.f64 (cbrt.f64 (/.f64 1 a1)) (.f64 (pow.f64 (cbrt.f64 (/.f64 1 a1)) 2) (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 a1)) (/.f64 1 (cbrt.f64 (.f64 a1 a1))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 a1 a1))) (/.f64 (sqrt.f64 2) (cbrt.f64 a1)))
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) a1))
(.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 a1)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (.f64 a1 a1))))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (.f64 a1 a1))) (/.f64 (cbrt.f64 2) (cbrt.f64 a1)))
(.f64 (/.f64 -1 (cbrt.f64 a1)) (/.f64 (sqrt.f64 2) (neg.f64 (cbrt.f64 (.f64 a1 a1)))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 2))) 1) (/.f64 (sqrt.f64 (sqrt.f64 2)) (neg.f64 a1)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 a1)) (/.f64 (sqrt.f64 (sqrt.f64 2)) (neg.f64 (cbrt.f64 (.f64 a1 a1)))))
(*.f64 (/.f64 1 (cbrt.f64 (neg.f64 a1))) (/.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 (cbrt.f64 (neg.f64 a1)) 2)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (neg.f64 a1)) 2)))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) 1) (/.f64 (cbrt.f64 2) (neg.f64 a1)))
(.f64 (/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 a1)) (/.f64 (cbrt.f64 2) (neg.f64 (cbrt.f64 (.f64 a1 a1)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) -1) (/.f64 (neg.f64 (cbrt.f64 2)) a1))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (neg.f64 a1))) (/.f64 (neg.f64 (cbrt.f64 2)) (cbrt.f64 (.f64 a1 a1))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 2)) -1) (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 2))) a1))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 2)) (cbrt.f64 (neg.f64 a1))) (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (.f64 a1 a1))))
(.f64 2 (.f64 1/2 (/.f64 (sqrt.f64 2) a1)))
(*.f64 -1 (/.f64 (sqrt.f64 2) (neg.f64 a1)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) (cbrt.f64 (/.f64 2 (.f64 a1 a1))))
(.f64 (cbrt.f64 (/.f64 2 (.f64 a1 a1))) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 a1))
(*.f64 (/.f64 -1 a1) (neg.f64 (sqrt.f64 2)))
(.f64 (neg.f64 (sqrt.f64 2)) (.f64 (/.f64 -1 a1) 1))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) 2) a1))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) 1) (/.f64 (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) 2) (neg.f64 a1)))
(.f64 (/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 a1)) (/.f64 (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) 2) (neg.f64 (cbrt.f64 (.f64 a1 a1)))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) (/.f64 (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) 2) (cbrt.f64 (.f64 a1 a1))))
(*.f64 (cbrt.f64 (/.f64 1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (neg.f64 a1)) 2)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sqrt.f64 8)) a1)) (/.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 (cbrt.f64 (neg.f64 a1)) 2)))
(.f64 (/.f64 1 (cbrt.f64 (neg.f64 a1))) (/.f64 (neg.f64 (sqrt.f64 2)) (cbrt.f64 (.f64 a1 a1))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (neg.f64 a1))) (/.f64 (neg.f64 (cbrt.f64 2)) (pow.f64 (cbrt.f64 (neg.f64 a1)) 2)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 2)) (cbrt.f64 (neg.f64 a1))) (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (neg.f64 a1)) 2)))
(*.f64 1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 (sqrt.f64 2) a1) 1)
(/.f64 (neg.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 a1))) (neg.f64 (cbrt.f64 (*.f64 a1 a1))))
(/.f64 (sqrt.f64 2) a1)
(/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 a1)) (cbrt.f64 (*.f64 a1 a1)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) (cbrt.f64 2)) (cbrt.f64 (.f64 a1 a1)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 a1)) (sqrt.f64 2)) (cbrt.f64 (.f64 a1 a1)))
(/.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 a1 a1))) (neg.f64 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (neg.f64 a1)))
(/.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 a1 a1))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 a1))
(/.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sqrt.f64 8)) a1)) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (.f64 a1 a1)))
(/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 a1 a1))) (cbrt.f64 a1))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 a1)) 1) (cbrt.f64 (.f64 a1 a1)))
(/.f64 (.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (/.f64 2 (.f64 a1 a1)))) (cbrt.f64 (neg.f64 a1)))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (cbrt.f64 a1)) (neg.f64 (cbrt.f64 (*.f64 a1 a1))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 a1)) 1) (cbrt.f64 (*.f64 a1 a1)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 a1)) (cbrt.f64 (cbrt.f64 (.f64 a1 a1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a1 a1))) 2))
(/.f64 -1 (/.f64 (neg.f64 a1) (sqrt.f64 2)))
(/.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) a1) 1/2))
(/.f64 -1 (neg.f64 (*.f64 (sqrt.f64 1/2) a1)))
(/.f64 1 (*.f64 (sqrt.f64 1/2) a1))
(/.f64 (/.f64 (sqrt.f64 2) a1) 1)
(/.f64 1 (.f64 (.f64 (sqrt.f64 1/2) a1) 1))
(/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 a1))
(/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 a1)) (pow.f64 (cbrt.f64 (neg.f64 a1)) 2))
(pow.f64 (/.f64 (sqrt.f64 8) (pow.f64 a1 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 1/2) a1) -1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) 3)
(pow.f64 (/.f64 (sqrt.f64 2) a1) 1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 a1)))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 2) (neg.f64 a1)) 1))
(cbrt.f64 (/.f64 (sqrt.f64 8) (pow.f64 a1 3)))
(+.f64 (.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1/2) (.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1/2))
(+.f64 (.f64 1/2 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) (.f64 1/2 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) (sqrt.f64 1/2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) (sqrt.f64 1/2)) (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 a1)) (.f64 (cbrt.f64 (.f64 a1 a1)) (*.f64 a1 (cos.f64 th))))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 a1 a1)))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1)))) (cbrt.f64 (pow.f64 (*.f64 a1 a1) 2)))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a1 a1))) (.f64 (cbrt.f64 (pow.f64 (*.f64 a1 a1) 2)) (cos.f64 th)))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) a1) (cbrt.f64 (.f64 a1 (cos.f64 th)))) (pow.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) 2))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) a1) (cbrt.f64 a1)) (.f64 (cos.f64 th) (cbrt.f64 (*.f64 a1 a1))))
(.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 2))
(.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 1/2)))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) 1/2)) (cbrt.f64 (cbrt.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2) 1/2))))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))))
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) (cbrt.f64 (.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2) 1/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) 1/2)) (cbrt.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))))
(.f64 (.f64 a1 a1) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a1 a1))
(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/8) (.f64 (.f64 a1 a1) (cos.f64 th)))) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)))
(.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 a1 a1) 2)) (sqrt.f64 1/2)) (cos.f64 th)))
(.f64 a1 (.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cbrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))
(.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 1/2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 1/2) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (cbrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a1 a1) 2)) (sqrt.f64 1/2)) (cos.f64 th)) (cbrt.f64 (*.f64 a1 a1)))
(.f64 (.f64 a1 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a1))
(.f64 (.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2))) a1)
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) (cbrt.f64 (.f64 (sqrt.f64 1/8) (.f64 (.f64 a1 a1) (cos.f64 th)))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) a1) 1) (.f64 a1 (cos.f64 th)))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) a1) (.f64 a1 (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2) 1/2))) 2))
(.f64 (.f64 (.f64 a1 a1) (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 1/2))
(.f64 (.f64 (.f64 a1 a1) (.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 1/2)))) (sqrt.f64 (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a1 a1) 2)) (sqrt.f64 1/2)) (cos.f64 th)) 1))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 (cbrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))))
(.f64 2 (.f64 1/2 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))))
(.f64 1 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(cbrt.f64 (pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3))

Outputs
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
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(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 (.f64 a1 (cos.f64 th)))) (pow.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) (sqrt.f64 1/2)) (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 (.f64 a1 (cos.f64 th)))) (pow.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) 2)))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 a1)) (.f64 (cbrt.f64 (.f64 a1 a1)) (*.f64 a1 (cos.f64 th))))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 a1)) (.f64 (.f64 (cos.f64 th) (cbrt.f64 (*.f64 a1 a1))) a1))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 a1 a1)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1)))) (cbrt.f64 (pow.f64 (*.f64 a1 a1) 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a1 a1))) (.f64 (cbrt.f64 (pow.f64 (*.f64 a1 a1) 2)) (cos.f64 th)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) a1) (cbrt.f64 (.f64 a1 (cos.f64 th)))) (pow.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) 2))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) a1) (cbrt.f64 a1)) (.f64 (cos.f64 th) (cbrt.f64 (*.f64 a1 a1))))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 2))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) 1/2)) (cbrt.f64 (cbrt.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2) 1/2))))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) (cbrt.f64 (.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2) 1/2)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) 1/2)) (cbrt.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 a1 a1) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a1 a1))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/8) (.f64 (.f64 a1 a1) (cos.f64 th)))) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 (.f64 a1 (cos.f64 th)))) (pow.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) 2)))
(.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 a1 a1) 2)) (sqrt.f64 1/2)) (cos.f64 th)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cbrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (cbrt.f64 1/2) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (cbrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a1 a1) 2)) (sqrt.f64 1/2)) (cos.f64 th)) (cbrt.f64 (*.f64 a1 a1)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 a1 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a1))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2))) a1)
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) (cbrt.f64 (.f64 (sqrt.f64 1/8) (.f64 (.f64 a1 a1) (cos.f64 th)))))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 (.f64 a1 (cos.f64 th)))) (pow.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) 2)))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) a1) 1) (.f64 a1 (cos.f64 th)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) a1) (.f64 a1 (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2) 1/2))) 2))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (.f64 a1 a1) (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 1/2))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (.f64 a1 a1) (.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 1/2)))) (sqrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a1 a1) 2)) (sqrt.f64 1/2)) (cos.f64 th)) 1))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 (cbrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 2 (.f64 1/2 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 1 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(/.f64 (.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) 3)
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(pow.f64 (pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3) 1/3)
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))
(cbrt.f64 (pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a1) a1) (cos.f64 th))

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 a1 a1) (cos.f64 th))
✓	0.3b	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))

Compiler

Compiled 28 to 12 computations (57.1% saved)

series80.0ms (0.2%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	a1	@	-inf	(.f64 (.f64 a1 a1) (cos.f64 th))
1.0ms	th	@	-inf	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
1.0ms	a1	@	inf	(.f64 (.f64 a1 a1) (cos.f64 th))
1.0ms	th	@	0	(.f64 (.f64 a1 a1) (cos.f64 th))
0.0ms	th	@	0	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))

Compiler

Compiled 2550 to 1795 computations (29.6% saved)

rewrite202.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

229×	`egg-rr`
88×	`egg-rr`

Counts

2 → 317

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (.f64 a1 a1) (cos.f64 th))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))) 1/2 (.f64 (sqrt.f64 1/8) (.f64 (.f64 a1 a1) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))) (.f64 (sqrt.f64 1/8) (.f64 (.f64 a1 a1) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))) (/.f64 (cbrt.f64 2) (.f64 (.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (pow.f64 (.f64 a1 (cbrt.f64 (cos.f64 th))) 2) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (cbrt.f64 2) (.f64 (pow.f64 (.f64 a1 (cbrt.f64 (cos.f64 th))) 2) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (/.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cbrt.f64 (.f64 a1 a1)) (/.f64 (cbrt.f64 2) (.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 0) (/.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 3))))))

Outputs

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(cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 (*.f64 a1 a1) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2 (*.f64 1/2 (*.f64 (*.f64 a1 a1) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 3))))))

simplify765.0ms (2.1%)

Algorithm

1×

egglog

Counts

349 → 454

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (pow.f64 a1 2)))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(pow.f64 a1 2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (pow.f64 a1 2))) (pow.f64 a1 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a1 2) (.f64 -1/720 (.f64 (pow.f64 th 6) (pow.f64 a1 2))))))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(fma.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))) 1/2 (.f64 (sqrt.f64 1/8) (.f64 (.f64 a1 a1) (cos.f64 th))))
(fma.f64 1/2 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))) (.f64 (sqrt.f64 1/8) (.f64 (.f64 a1 a1) (cos.f64 th))))
(if (!=.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))) (/.f64 (cbrt.f64 2) (.f64 (.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
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(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) (.f64 a1 (.f64 a1 (cbrt.f64 (cos.f64 th)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2))))
(.f64 (cbrt.f64 (.f64 a1 (cos.f64 th))) (cbrt.f64 (.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2) a1)))
(.f64 (cbrt.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (cos.f64 th))))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) (cbrt.f64 a1))) (cbrt.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (*.f64 a1 a1))) a1)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a1 a1))) (cbrt.f64 (.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (cos.f64 th)) (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2))))
(.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) 1/2)
(.f64 1/2 (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(.f64 8 (pow.f64 (cbrt.f64 (.f64 1/8 (.f64 (.f64 a1 a1) (cos.f64 th)))) 3))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))
(.f64 2 (.f64 1/2 (.f64 (.f64 a1 a1) (cos.f64 th))))
(.f64 1 (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 1)
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 1)
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 4) 4)
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2) 2)
(pow.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) 3)
(pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 1)
(neg.f64 (.f64 -1 (.f64 (*.f64 a1 a1) (cos.f64 th))))
(neg.f64 (.f64 -2 (.f64 1/2 (.f64 (.f64 a1 a1) (cos.f64 th)))))
(neg.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) -1))
(neg.f64 (.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) -1/2))
(cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 3))

Outputs
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (.f64 th th))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (pow.f64 th 4))) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (.f64 th th))) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (pow.f64 a1 2)))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))))
(fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (.f64 a1 a1))) (fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (pow.f64 th 4))) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (.f64 th th))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(fma.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th)) (.f64 a1 a1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (pow.f64 a1 2))) (pow.f64 a1 2)))
(fma.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th)) (fma.f64 1/24 (.f64 (.f64 a1 a1) (pow.f64 th 4)) (.f64 a1 a1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a1 2) (.f64 -1/720 (.f64 (pow.f64 th 6) (pow.f64 a1 2))))))
(fma.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th)) (+.f64 (fma.f64 1/24 (.f64 (.f64 a1 a1) (pow.f64 th 4)) (.f64 a1 a1)) (.f64 -1/720 (.f64 (pow.f64 th 6) (*.f64 a1 a1)))))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(fma.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))) 1/2 (.f64 (sqrt.f64 1/8) (.f64 (.f64 a1 a1) (cos.f64 th))))
(fma.f64 (.f64 a1 (.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1/2 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/8) (.f64 a1 a1))))
(fma.f64 1/2 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))) (.f64 (sqrt.f64 1/8) (.f64 (.f64 a1 a1) (cos.f64 th))))
(fma.f64 1/2 (.f64 a1 (.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/8) (.f64 a1 a1))))
(if (!=.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))) (/.f64 (cbrt.f64 2) (.f64 (.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(if (!=.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))) (/.f64 (cbrt.f64 2) (.f64 (.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (!=.f64 (.f64 (pow.f64 (.f64 a1 (cbrt.f64 (cos.f64 th))) 2) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (cbrt.f64 2) (.f64 (pow.f64 (.f64 a1 (cbrt.f64 (cos.f64 th))) 2) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(if (!=.f64 (.f64 (pow.f64 (.f64 a1 (cbrt.f64 (cos.f64 th))) 2) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (cbrt.f64 2) (.f64 (pow.f64 (.f64 a1 (cbrt.f64 (cos.f64 th))) 2) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (/.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) 2) (sqrt.f64 1/2))) 0) (/.f64 (cbrt.f64 (.f64 (.f64 a1 (cos.f64 th)) a1)) (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) 2) (sqrt.f64 1/2))))) (.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (!=.f64 (.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cbrt.f64 (.f64 a1 a1)) (/.f64 (cbrt.f64 2) (.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))
(if (!=.f64 (.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cbrt.f64 (.f64 a1 a1)) (/.f64 (cbrt.f64 2) (.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 a1 (.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (!=.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(if (!=.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (!=.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 0) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (cbrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))) (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(if (!=.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) 0) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 (cbrt.f64 2) (.f64 a1 a1)) (cos.f64 th))) (.f64 a1 (.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (!=.f64 (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (.f64 a1 a1) (/.f64 (cbrt.f64 2) (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))
(if (!=.f64 (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (.f64 a1 a1) (/.f64 (cbrt.f64 2) (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 a1 (.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (!=.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 1 (/.f64 (cbrt.f64 2) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(if (!=.f64 (.f64 (.f64 a1 a1) (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2)))) 0) (/.f64 1 (/.f64 (cbrt.f64 2) (.f64 (.f64 a1 a1) (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2)))))) (.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (!=.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th)))) 0) (/.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th)))))) (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(if (!=.f64 (cbrt.f64 (.f64 a1 (.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th))))) 0) (/.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) 2)) (cbrt.f64 (/.f64 2 (.f64 a1 (.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (!=.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) a1) 0) (/.f64 (.f64 a1 (cos.f64 th)) (/.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 1/2)) a1))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))
(if (!=.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) a1) 0) (/.f64 (.f64 a1 (cos.f64 th)) (/.f64 (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))) a1)) (.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (!=.f64 (.f64 (.f64 a1 (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 a1 (/.f64 (cbrt.f64 2) (.f64 (.f64 a1 (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(if (!=.f64 (.f64 (.f64 a1 (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 a1 (/.f64 (cbrt.f64 2) (.f64 (.f64 a1 (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (!=.f64 (cbrt.f64 (sqrt.f64 1/2)) 0) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (/.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 1/2)))) (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(if (!=.f64 (cbrt.f64 (sqrt.f64 1/2)) 0) (/.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2)))) (.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (!=.f64 (.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))) a1) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 2) (.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))) a1) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(if (!=.f64 (.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))) a1) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 2) (.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))) a1) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (cos.f64 th)))) (/.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) (sqrt.f64 1/2))) 0) (/.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (cos.f64 th)))) (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) (sqrt.f64 1/2))))) (.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
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(.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2))))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 a1 (cos.f64 th))) (cbrt.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2))))
(cbrt.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) (pow.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) 2)) a1))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th)))) 2) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) 2) (.f64 (.f64 a1 a1) (cos.f64 th)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 a1 (cos.f64 th)) a1))) 2) (cbrt.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) 2)) 2) (.f64 a1 a1)) (cos.f64 th))))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2))) (pow.f64 (*.f64 a1 (cbrt.f64 (cos.f64 th))) 2)))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (cos.f64 th) (.f64 a1 a1))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 a1 (.f64 a1 (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (cbrt.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2)))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) (cbrt.f64 (.f64 (*.f64 a1 a1) (cos.f64 th))))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))) (.f64 a1 (cbrt.f64 a1)))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (cos.f64 th)) (cbrt.f64 (.f64 a1 a1)))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (.f64 a1 (cbrt.f64 a1)) (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (cos.f64 th))) (cbrt.f64 (cos.f64 th)))
(.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (cos.f64 th)))) (.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (cos.f64 th))))
(.f64 (cbrt.f64 a1) (.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))) a1))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (.f64 a1 (cbrt.f64 (cos.f64 th))) 2))
(.f64 (pow.f64 (.f64 a1 (cbrt.f64 (cos.f64 th))) 2) (cbrt.f64 (cos.f64 th)))
(.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (.f64 a1 (cbrt.f64 (cos.f64 th))) 2))
(.f64 (.f64 a1 (cbrt.f64 (.f64 a1 (cos.f64 th)))) (cbrt.f64 (pow.f64 (.f64 a1 (cos.f64 th)) 2)))
(.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (.f64 a1 (cos.f64 th)) (cbrt.f64 a1)))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th)))) 2) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2))))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (.f64 a1 (cbrt.f64 (cos.f64 th))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a1))
(.f64 (cbrt.f64 (.f64 a1 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (.f64 a1 (cos.f64 th)) 2)) a1))
(.f64 (.f64 a1 (*.f64 a1 (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (.f64 a1 (cbrt.f64 (cos.f64 th))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a1))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 a1 (*.f64 a1 (cbrt.f64 (cos.f64 th)))))
(.f64 (.f64 a1 (cbrt.f64 (cos.f64 th))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a1))
(.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))) a1) (cbrt.f64 a1))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (.f64 (.f64 a1 (cos.f64 th)) (cbrt.f64 a1)) (cbrt.f64 (.f64 a1 a1)))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2))) 2))
(.f64 (.f64 a1 (cbrt.f64 (cos.f64 th))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a1))
(.f64 (pow.f64 (.f64 (cbrt.f64 (*.f64 a1 a1)) (cbrt.f64 (cbrt.f64 (cos.f64 th)))) 3) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (.f64 a1 (cbrt.f64 (cos.f64 th))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a1))
(.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (pow.f64 (cbrt.f64 (.f64 a1 (cbrt.f64 (cos.f64 th)))) 2) 3))
(.f64 (cbrt.f64 a1) (cbrt.f64 (.f64 (.f64 a1 (cos.f64 th)) (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2))))
(cbrt.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) (pow.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) 2)) a1))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th)))) 2))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (cbrt.f64 (cbrt.f64 a1)) (cbrt.f64 (.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))) a1) (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2))))
(cbrt.f64 (.f64 (cbrt.f64 a1) (.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))) a1) (pow.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) 2))))
(.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (.f64 (.f64 a1 a1) (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2))))
(cbrt.f64 (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (pow.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) 2))))
(.f64 (cbrt.f64 (.f64 a1 a1)) (cbrt.f64 (.f64 a1 (pow.f64 (.f64 a1 (cos.f64 th)) 3))))
(cbrt.f64 (.f64 (.f64 a1 a1) (.f64 a1 (pow.f64 (.f64 a1 (cos.f64 th)) 3))))
(.f64 (cbrt.f64 (.f64 a1 a1)) (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2))))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))))) (cbrt.f64 (*.f64 a1 (cbrt.f64 a1))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) 2) (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1)))) (*.f64 a1 (cbrt.f64 a1))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) (cbrt.f64 (.f64 a1 a1)))) (cbrt.f64 (.f64 (*.f64 a1 (cbrt.f64 a1)) (cos.f64 th))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) 2) (cbrt.f64 (.f64 a1 a1))) (.f64 (*.f64 a1 (cbrt.f64 a1)) (cos.f64 th))))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1)))) (cbrt.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2))))
(cbrt.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))) (.f64 (.f64 a1 (cbrt.f64 a1)) (pow.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th)))) (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)))))
(cbrt.f64 (.f64 (cbrt.f64 (.f64 (.f64 a1 (cos.f64 th)) a1)) (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) 2) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) 2)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2))))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) (*.f64 a1 a1))) (cbrt.f64 (cos.f64 th)))
(cbrt.f64 (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (pow.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) (*.f64 a1 (cos.f64 th)))) (cbrt.f64 a1))
(cbrt.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) (pow.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) 2)) a1))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) (cbrt.f64 (.f64 (pow.f64 (.f64 a1 (cbrt.f64 (cos.f64 th))) 2) (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2))))
(cbrt.f64 (.f64 (cbrt.f64 (cos.f64 th)) (.f64 (pow.f64 (.f64 a1 (cbrt.f64 (cos.f64 th))) 2) (pow.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) 2))))
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) 2)))
(cbrt.f64 (.f64 (.f64 (.f64 a1 a1) (.f64 (cos.f64 th) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) 2)))) (pow.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) 2)) 2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (pow.f64 (*.f64 a1 (cbrt.f64 (cos.f64 th))) 2)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) 2) (cbrt.f64 (cos.f64 th))) (pow.f64 (*.f64 a1 (cbrt.f64 (cos.f64 th))) 2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th)))))
(cbrt.f64 (.f64 (cbrt.f64 (.f64 (.f64 a1 (cos.f64 th)) a1)) (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) 2) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) 2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) (.f64 a1 (.f64 a1 (cbrt.f64 (cos.f64 th)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2))))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) 2) a1) (.f64 a1 (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (pow.f64 (cos.f64 th) 2))))
(.f64 (cbrt.f64 (.f64 a1 (cos.f64 th))) (cbrt.f64 (.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2) a1)))
(cbrt.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 (pow.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) 2) a1)))
(.f64 (cbrt.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (cos.f64 th))))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2))))
(cbrt.f64 (.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (cos.f64 th)))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) (cbrt.f64 a1))) (cbrt.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (*.f64 a1 a1))) a1)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) 2) (cbrt.f64 a1)) (.f64 (.f64 (cos.f64 th) (cbrt.f64 (*.f64 a1 a1))) a1)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a1 a1))) (cbrt.f64 (.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (cos.f64 th)) (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2))))
(cbrt.f64 (.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (cos.f64 th)) (pow.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) 2))))
(.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) 1/2)
(.f64 (.f64 (.f64 a1 a1) (.f64 (cos.f64 th) 2)) 1/2)
(.f64 1/2 (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(.f64 (.f64 (.f64 a1 a1) (.f64 (cos.f64 th) 2)) 1/2)
(.f64 8 (pow.f64 (cbrt.f64 (.f64 1/8 (.f64 (.f64 a1 a1) (cos.f64 th)))) 3))
(.f64 8 (.f64 (.f64 1/8 (.f64 a1 a1)) (cos.f64 th)))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))
(.f64 (cbrt.f64 2) (.f64 (cos.f64 th) (.f64 (cbrt.f64 1/2) (.f64 a1 a1))))
(.f64 2 (.f64 1/2 (.f64 (.f64 a1 a1) (cos.f64 th))))
(.f64 (.f64 (.f64 a1 a1) (.f64 (cos.f64 th) 2)) 1/2)
(.f64 1 (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) a1)
(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 1)
(.f64 (.f64 a1 (cos.f64 th)) a1)
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 1)
(.f64 (.f64 a1 (cos.f64 th)) a1)
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 4) 4)
(/.f64 (.f64 (.f64 a1 a1) (*.f64 (cos.f64 th) 4)) 4)
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2) 2)
(/.f64 (.f64 (.f64 a1 a1) (*.f64 (cos.f64 th) 2)) 2)
(pow.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 3) 1/3)
(.f64 (.f64 a1 (cos.f64 th)) a1)
(pow.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) 3)
(.f64 (.f64 a1 (cos.f64 th)) a1)
(pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 1)
(.f64 (.f64 a1 (cos.f64 th)) a1)
(neg.f64 (.f64 -1 (.f64 (*.f64 a1 a1) (cos.f64 th))))
(neg.f64 (.f64 (neg.f64 (.f64 a1 a1)) (cos.f64 th)))
(neg.f64 (.f64 -2 (.f64 1/2 (.f64 (.f64 a1 a1) (cos.f64 th)))))
(.f64 (neg.f64 -2) (.f64 (.f64 a1 (cos.f64 th)) (.f64 1/2 a1)))
(neg.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) -1))
(neg.f64 (.f64 (neg.f64 (.f64 a1 a1)) (cos.f64 th)))
(neg.f64 (.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) -1/2))
(.f64 (.f64 (.f64 a1 a1) (.f64 (cos.f64 th) 2)) (neg.f64 -1/2))
(cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 3))
(.f64 (.f64 a1 (cos.f64 th)) a1)

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 a2 (cos.f64 th))
✓	0.2b	(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
✓	0.4b	(*.f64 (sqrt.f64 1/2) a2)

Compiler

Compiled 27 to 15 computations (44.4% saved)

series52.0ms (0.1%)

Counts

3 → 32

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	a2	@	inf	(*.f64 (sqrt.f64 1/2) a2)
1.0ms	th	@	-inf	(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
1.0ms	th	@	inf	(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
1.0ms	th	@	0	(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
1.0ms	a2	@	inf	(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))

Compiler

Compiled 2010 to 1320 computations (34.3% saved)

rewrite272.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

194×	`egg-rr`
93×	`egg-rr`
62×	`egg-rr`

Counts

3 → 349

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) a2)
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (cos.f64 th))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 (sqrt.f64 1/2) a2) (*.f64 (sqrt.f64 1/8) a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) a2) 1/2 (*.f64 (*.f64 (sqrt.f64 1/2) a2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (sqrt.f64 1/8) a2) (*.f64 (sqrt.f64 1/8) a2)) 0) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/8) a2) (*.f64 (sqrt.f64 1/8) a2)) (*.f64 (*.f64 (sqrt.f64 1/8) a2) (*.f64 (sqrt.f64 1/8) a2))) (-.f64 (*.f64 (sqrt.f64 1/8) a2) (*.f64 (sqrt.f64 1/8) a2))) (*.f64 (sqrt.f64 1/2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) a2) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) a2) 1/2)) 0) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) a2) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) a2) 1/2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) a2) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) a2) 1/2))) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) a2) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) a2) 1/2))) (*.f64 (sqrt.f64 1/2) 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(cbrt.f64 (*.f64 (cbrt.f64 (*.f64 a2 a2)) (pow.f64 (*.f64 a2 (cos.f64 th)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 a2 (cos.f64 th)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (pow.f64 (*.f64 1/2 (cbrt.f64 (*.f64 a2 (cos.f64 th)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/2) (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a2 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2 (*.f64 1/2 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 a2 (cos.f64 th)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3))))))

simplify667.0ms (1.9%)

Algorithm

1×

egglog

Counts

381 → 471

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 4))))))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (pow.f64 a2 2)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 4)))))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
a2
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) a2)) a2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) a2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) a2)) a2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) a2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) a2)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 th 6) a2)) a2)))
(fma.f64 1/2 (.f64 (sqrt.f64 1/2) a2) (.f64 (sqrt.f64 1/8) a2))
(fma.f64 (.f64 (sqrt.f64 1/2) a2) 1/2 (.f64 (*.f64 (sqrt.f64 1/2) a2) 1/2))
(if (!=.f64 (-.f64 (.f64 (sqrt.f64 1/8) a2) (.f64 (sqrt.f64 1/8) a2)) 0) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 1/8) a2) (.f64 (sqrt.f64 1/8) a2)) (.f64 (.f64 (sqrt.f64 1/8) a2) (.f64 (sqrt.f64 1/8) a2))) (-.f64 (.f64 (sqrt.f64 1/8) a2) (.f64 (sqrt.f64 1/8) a2))) (*.f64 (sqrt.f64 1/2) a2))
(if (!=.f64 (-.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2)) 0) (/.f64 (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2)) (.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2))) (-.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2))) (*.f64 (sqrt.f64 1/2) a2))
(if (!=.f64 (+.f64 (.f64 (.f64 (sqrt.f64 1/8) a2) (.f64 (sqrt.f64 1/8) a2)) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) a2) (.f64 (sqrt.f64 1/8) a2)) (.f64 (.f64 (sqrt.f64 1/8) a2) (.f64 (sqrt.f64 1/8) a2)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/8) a2) 3) (pow.f64 (.f64 (sqrt.f64 1/8) a2) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) a2) (.f64 (sqrt.f64 1/8) a2)) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) a2) (.f64 (sqrt.f64 1/8) a2)) (.f64 (.f64 (sqrt.f64 1/8) a2) (.f64 (sqrt.f64 1/8) a2))))) (*.f64 (sqrt.f64 1/2) a2))
(if (!=.f64 (+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2)) (.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) 3) (pow.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) 3)) (+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2)) (.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2))))) (*.f64 (sqrt.f64 1/2) a2))
(if (!=.f64 (.f64 (sqrt.f64 1/8) a2) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/8) a2) 3) (pow.f64 (.f64 (sqrt.f64 1/8) a2) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) a2) (.f64 (sqrt.f64 1/8) a2)) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) a2) (.f64 (sqrt.f64 1/8) a2)) (.f64 (.f64 (sqrt.f64 1/8) a2) (.f64 (sqrt.f64 1/8) a2))))) (*.f64 (sqrt.f64 1/2) a2))
(if (!=.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) 3) (pow.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) 3)) (+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2)) (.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2))))) (.f64 (sqrt.f64 1/2) a2))
(if (!=.f64 (.f64 (sqrt.f64 1/2) a2) 0) (/.f64 1 (pow.f64 (.f64 (sqrt.f64 1/2) a2) -1)) (*.f64 (sqrt.f64 1/2) a2))
(if (!=.f64 1 0) (.f64 (sqrt.f64 1/2) a2) (.f64 (sqrt.f64 1/2) a2))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 1/2 a2)) (.f64 (sqrt.f64 1/2) (.f64 1/2 a2)))
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) 1) (.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) 1/2) 1))
(+.f64 (.f64 (.f64 1/2 a2) (sqrt.f64 1/2)) (.f64 (.f64 1/2 a2) (sqrt.f64 1/2)))
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(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2) (.f64 (.f64 (sqrt.f64 1/2) a2) (cbrt.f64 (cos.f64 th))))
(.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 a2 (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (cbrt.f64 a2)))
(.f64 (cbrt.f64 (.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)))) (cbrt.f64 a2))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 (cbrt.f64 (.f64 (sqrt.f64 1/2) a2))))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 (.f64 a2 a2) 1/2)) (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)))))
(.f64 (cbrt.f64 (/.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 a2 (*.f64 a2 (cos.f64 th))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)))))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 2 (.f64 1/2 (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))))
(.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))) 2)
(.f64 2 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th)))) 1/2))
(.f64 8 (pow.f64 (.f64 1/2 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th)))))) 3))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th)))) 3))))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cbrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(.f64 (.f64 (cbrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2)))))
(.f64 (.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2)))) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (.f64 1/2 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2)))))
(.f64 (cbrt.f64 (.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) (.f64 a2 (*.f64 a2 (cos.f64 th))))) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 1/2))
(.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(.f64 1 (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th)))) 1)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 a2 (.f64 a2 (cos.f64 th)))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 1/2) (.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (cbrt.f64 (sqrt.f64 1/2)))))
(.f64 (cbrt.f64 1/2) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (sqrt.f64 1/2) (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 3))))
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) -1) (cbrt.f64 -2))
(/.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (cbrt.f64 (sqrt.f64 1/2)))) -1) (cbrt.f64 -2))
(/.f64 (.f64 -1 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 a2 (.f64 a2 (cos.f64 th))))) (cbrt.f64 -2))
(/.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 4) (.f64 (sqrt.f64 2) 4))
(/.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) -4) (.f64 (sqrt.f64 2) -4))
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) -1) (neg.f64 (cbrt.f64 2)))
(/.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (cbrt.f64 (sqrt.f64 1/2)))) -1) (neg.f64 (cbrt.f64 2)))
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) 2) (cbrt.f64 (/.f64 2 1/8)))
(/.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (cbrt.f64 (sqrt.f64 1/2)))) 2) (cbrt.f64 (/.f64 2 1/8)))
(/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 a2 (*.f64 a2 (cos.f64 th)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 -1 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 a2 (.f64 a2 (cos.f64 th))))) (neg.f64 (cbrt.f64 2)))
(/.f64 (.f64 2 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 a2 (.f64 a2 (cos.f64 th))))) (cbrt.f64 (/.f64 2 1/8)))
(/.f64 (.f64 (cbrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) -2) (neg.f64 (sqrt.f64 8)))
(/.f64 (neg.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (cbrt.f64 (sqrt.f64 1/2)))) 1) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 a2 (*.f64 a2 (cos.f64 th)))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a2 (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) a2) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 a2)) (cbrt.f64 (.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (.f64 1 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 a2 (.f64 a2 (cos.f64 th))))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2) (sqrt.f64 8))
(/.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th)))) 1)
(/.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 1/4) (sqrt.f64 1/8))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))) 3)
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th)))) 1)
(neg.f64 (.f64 -2 (.f64 1/2 (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th)))))))
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th))))))
(neg.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th)))) -1))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th)))) 3))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 a2 3) a2)) (.f64 (pow.f64 (cos.f64 th) 3) (*.f64 a2 a2))))
(fma.f64 (.f64 a2 (cos.f64 th)) 1/2 (.f64 (*.f64 a2 (cos.f64 th)) 1/2))
(fma.f64 1/2 (.f64 a2 (cos.f64 th)) (.f64 1/2 (*.f64 a2 (cos.f64 th))))
(if (!=.f64 (-.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) (.f64 (.f64 a2 (cos.f64 th)) 1/2)) 0) (/.f64 (-.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) (.f64 (.f64 a2 (cos.f64 th)) 1/2)) (.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) (.f64 (.f64 a2 (cos.f64 th)) 1/2))) (-.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) (.f64 (.f64 a2 (cos.f64 th)) 1/2))) (*.f64 a2 (cos.f64 th)))
(if (!=.f64 (-.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) (.f64 1/2 (.f64 a2 (cos.f64 th)))) 0) (/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) (.f64 1/2 (.f64 a2 (cos.f64 th)))) (.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) (.f64 1/2 (.f64 a2 (cos.f64 th))))) (-.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) (.f64 1/2 (.f64 a2 (cos.f64 th))))) (*.f64 a2 (cos.f64 th)))
(if (!=.f64 (+.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) (.f64 (.f64 a2 (cos.f64 th)) 1/2)) (-.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) (.f64 (.f64 a2 (cos.f64 th)) 1/2)) (.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) (.f64 (.f64 a2 (cos.f64 th)) 1/2)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) 3) (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) 3)) (+.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) (.f64 (.f64 a2 (cos.f64 th)) 1/2)) (-.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) (.f64 (.f64 a2 (cos.f64 th)) 1/2)) (.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) (.f64 (.f64 a2 (cos.f64 th)) 1/2))))) (*.f64 a2 (cos.f64 th)))
(if (!=.f64 (+.f64 (.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) (.f64 1/2 (.f64 a2 (cos.f64 th)))) (-.f64 (.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) (.f64 1/2 (.f64 a2 (cos.f64 th)))) (.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) (.f64 1/2 (.f64 a2 (cos.f64 th)))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) 3) (pow.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) 3)) (+.f64 (.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) (.f64 1/2 (.f64 a2 (cos.f64 th)))) (-.f64 (.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) (.f64 1/2 (.f64 a2 (cos.f64 th)))) (.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) (.f64 1/2 (.f64 a2 (cos.f64 th))))))) (*.f64 a2 (cos.f64 th)))
(if (!=.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) 3) (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) 3)) (+.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) (.f64 (.f64 a2 (cos.f64 th)) 1/2)) (-.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) (.f64 (.f64 a2 (cos.f64 th)) 1/2)) (.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) (.f64 (.f64 a2 (cos.f64 th)) 1/2))))) (.f64 a2 (cos.f64 th)))
(if (!=.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) 3) (pow.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) 3)) (+.f64 (.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) (.f64 1/2 (.f64 a2 (cos.f64 th)))) (-.f64 (.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) (.f64 1/2 (.f64 a2 (cos.f64 th)))) (.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) (.f64 1/2 (.f64 a2 (cos.f64 th))))))) (.f64 a2 (cos.f64 th)))
(if (!=.f64 (.f64 a2 (cos.f64 th)) 0) (/.f64 1 (pow.f64 (.f64 a2 (cos.f64 th)) -1)) (*.f64 a2 (cos.f64 th)))
(+.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) (.f64 (.f64 a2 (cos.f64 th)) 1/2))
(+.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) (.f64 1/2 (.f64 a2 (cos.f64 th))))
(+.f64 (.f64 a2 (.f64 1/2 (cos.f64 th))) (.f64 a2 (.f64 1/2 (cos.f64 th))))
(+.f64 (.f64 (cos.f64 th) (.f64 1/2 a2)) (.f64 (cos.f64 th) (.f64 1/2 a2)))
(+.f64 (.f64 (.f64 1/2 (cos.f64 th)) a2) (.f64 (.f64 1/2 (cos.f64 th)) a2))
(+.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) 1) (.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) 1))
(+.f64 (.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) 1) (.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) 1))
(+.f64 (.f64 (.f64 1/2 a2) (cos.f64 th)) (.f64 (.f64 1/2 a2) (cos.f64 th)))
(.f64 (.f64 (*.f64 (cos.f64 th) (cbrt.f64 a2)) (cbrt.f64 a2)) (cbrt.f64 a2))
(.f64 (cbrt.f64 (cbrt.f64 a2)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a2)) 2) (.f64 (cbrt.f64 (.f64 a2 a2)) (cos.f64 th))))
(.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)))
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) (cbrt.f64 (*.f64 a2 (cos.f64 th))))
(.f64 (.f64 a2 (cbrt.f64 (cos.f64 th))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 a2 (cbrt.f64 (cos.f64 th))))
(.f64 (.f64 (*.f64 (cos.f64 th) (cbrt.f64 a2)) (pow.f64 (cbrt.f64 (cbrt.f64 a2)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a2)) 2) 2))
(.f64 (cbrt.f64 a2) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a2)) 2) (cbrt.f64 (cos.f64 th))) 3))
(.f64 (cbrt.f64 (.f64 a2 (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (pow.f64 (.f64 a2 (cos.f64 th)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 a2)) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (cos.f64 th)) (pow.f64 (*.f64 a2 (cos.f64 th)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) (pow.f64 (*.f64 a2 (cos.f64 th)) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2) (.f64 a2 (cbrt.f64 (cos.f64 th))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2) (.f64 (cos.f64 th) (cbrt.f64 a2)))) (pow.f64 (cbrt.f64 (cbrt.f64 a2)) 2))
(.f64 (.f64 (cbrt.f64 (*.f64 a2 a2)) (cos.f64 th)) (cbrt.f64 a2))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2) (pow.f64 (.f64 a2 (cos.f64 th)) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2) (cbrt.f64 (.f64 a2 (cos.f64 th))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th)))) 2))
(.f64 (cbrt.f64 (.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2) (cos.f64 th))) (cbrt.f64 a2))
(.f64 (cbrt.f64 a2) (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (*.f64 a2 (cos.f64 th)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (pow.f64 (*.f64 a2 (cos.f64 th)) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2) (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2) (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th)))))
(.f64 (cbrt.f64 (.f64 a2 a2)) (*.f64 (cos.f64 th) (cbrt.f64 a2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2) (cbrt.f64 (cos.f64 th)))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2))
(.f64 (cbrt.f64 a2) (.f64 (cbrt.f64 (*.f64 a2 a2)) (cos.f64 th)))
(.f64 (.f64 (cos.f64 th) (cbrt.f64 a2)) (cbrt.f64 (*.f64 a2 a2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2) (cbrt.f64 a2))) (cbrt.f64 (.f64 (cbrt.f64 (*.f64 a2 a2)) (cos.f64 th))))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (cbrt.f64 a2))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (pow.f64 (*.f64 a2 (cos.f64 th)) 2))))
(.f64 2 (.f64 1/2 (*.f64 a2 (cos.f64 th))))
(.f64 2 (.f64 (*.f64 a2 (cos.f64 th)) 1/2))
(.f64 8 (pow.f64 (.f64 1/2 (cbrt.f64 (*.f64 a2 (cos.f64 th)))) 3))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/2) (*.f64 a2 (cos.f64 th))))
(.f64 1 (.f64 a2 (cos.f64 th)))
(.f64 (.f64 a2 (cos.f64 th)) 1)
(.f64 1/2 (+.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(/.f64 (*.f64 a2 (cos.f64 th)) 1)
(pow.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 3)
(pow.f64 (*.f64 a2 (cos.f64 th)) 1)
(neg.f64 (.f64 -2 (.f64 1/2 (*.f64 a2 (cos.f64 th)))))
(neg.f64 (.f64 -1 (.f64 a2 (cos.f64 th))))
(neg.f64 (.f64 (.f64 a2 (cos.f64 th)) -1))
(cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3))

Outputs
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
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(.f64 (cbrt.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (.f64 a2 (.f64 1/2 a2)))) (.f64 (cos.f64 th) a2))
(.f64 (cbrt.f64 (.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) a2)) (cbrt.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2))))
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(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
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(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
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(.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (.f64 (.f64 (cbrt.f64 1/2) a2) (cos.f64 th)))
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(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
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(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
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(.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (.f64 (.f64 (cbrt.f64 1/2) a2) (cos.f64 th)))
(.f64 (.f64 (cos.f64 th) (cbrt.f64 a2)) (.f64 (cbrt.f64 (.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) a2)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 a2 (.f64 a2 (cos.f64 th)))) (sqrt.f64 (sqrt.f64 1/2)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
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(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(.f64 (.f64 (cbrt.f64 1/2) a2) (.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (.f64 (.f64 (cbrt.f64 1/2) a2) (cos.f64 th)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 a2 a2) 1/2)) 2)) (.f64 (.f64 (cos.f64 th) (.f64 a2 (cbrt.f64 (.f64 (sqrt.f64 1/2) a2)))) (cbrt.f64 (cbrt.f64 (.f64 (*.f64 a2 a2) 1/2)))))
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(.f64 (.f64 (cbrt.f64 1/2) (.f64 a2 (cos.f64 th))) (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (.f64 (.f64 (cbrt.f64 1/2) a2) (cos.f64 th)))
(.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) a2)) (*.f64 (cos.f64 th) (cbrt.f64 a2)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2) (.f64 (.f64 (sqrt.f64 1/2) a2) (cbrt.f64 (cos.f64 th))))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (cbrt.f64 (cos.f64 th))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 a2 (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (cbrt.f64 a2)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(.f64 (cbrt.f64 (.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)))) (cbrt.f64 a2))
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(if (!=.f64 (.f64 a2 (cos.f64 th)) 0) (/.f64 1 (pow.f64 (.f64 a2 (cos.f64 th)) -1)) (*.f64 a2 (cos.f64 th)))
(if (!=.f64 (.f64 (cos.f64 th) a2) 0) (pow.f64 (/.f64 1 (.f64 (cos.f64 th) a2)) -1) (*.f64 (cos.f64 th) a2))
(+.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) (.f64 (.f64 a2 (cos.f64 th)) 1/2))
(.f64 (.f64 1/2 (cos.f64 th)) (+.f64 a2 a2))
(+.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) (.f64 1/2 (.f64 a2 (cos.f64 th))))
(.f64 (.f64 1/2 (cos.f64 th)) (+.f64 a2 a2))
(+.f64 (.f64 a2 (.f64 1/2 (cos.f64 th))) (.f64 a2 (.f64 1/2 (cos.f64 th))))
(.f64 (.f64 1/2 (cos.f64 th)) (+.f64 a2 a2))
(+.f64 (.f64 (cos.f64 th) (.f64 1/2 a2)) (.f64 (cos.f64 th) (.f64 1/2 a2)))
(.f64 (.f64 1/2 (cos.f64 th)) (+.f64 a2 a2))
(+.f64 (.f64 (.f64 1/2 (cos.f64 th)) a2) (.f64 (.f64 1/2 (cos.f64 th)) a2))
(.f64 (.f64 1/2 (cos.f64 th)) (+.f64 a2 a2))
(+.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) 1) (.f64 (.f64 (.f64 a2 (cos.f64 th)) 1/2) 1))
(.f64 (.f64 1/2 (cos.f64 th)) (+.f64 a2 a2))
(+.f64 (.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) 1) (.f64 (.f64 1/2 (.f64 a2 (cos.f64 th))) 1))
(.f64 (.f64 1/2 (cos.f64 th)) (+.f64 a2 a2))
(+.f64 (.f64 (.f64 1/2 a2) (cos.f64 th)) (.f64 (.f64 1/2 a2) (cos.f64 th)))
(.f64 (.f64 1/2 (cos.f64 th)) (+.f64 a2 a2))
(.f64 (.f64 (*.f64 (cos.f64 th) (cbrt.f64 a2)) (cbrt.f64 a2)) (cbrt.f64 a2))
(*.f64 (cos.f64 th) a2)
(.f64 (cbrt.f64 (cbrt.f64 a2)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a2)) 2) (.f64 (cbrt.f64 (.f64 a2 a2)) (cos.f64 th))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 a2)) (pow.f64 (cbrt.f64 (cbrt.f64 a2)) 2)) (.f64 (cos.f64 th) (cbrt.f64 (.f64 a2 a2))))
(.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) (cbrt.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 (cos.f64 th) a2)
(.f64 (.f64 a2 (cbrt.f64 (cos.f64 th))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 a2 (cbrt.f64 (cos.f64 th))))
(.f64 (.f64 a2 (cbrt.f64 (cos.f64 th))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (.f64 (*.f64 (cos.f64 th) (cbrt.f64 a2)) (pow.f64 (cbrt.f64 (cbrt.f64 a2)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a2)) 2) 2))
(.f64 (cbrt.f64 a2) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a2)) 2) (cbrt.f64 (cos.f64 th))) 3))
(.f64 (cbrt.f64 (.f64 a2 (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (pow.f64 (.f64 a2 (cos.f64 th)) 2))))
(cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (pow.f64 (.f64 (cos.f64 th) a2) 2))))
(.f64 (cbrt.f64 (cbrt.f64 a2)) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (cos.f64 th)) (pow.f64 (*.f64 a2 (cos.f64 th)) 2))))
(cbrt.f64 (.f64 (cbrt.f64 a2) (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 2) (cos.f64 th)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) (pow.f64 (*.f64 a2 (cos.f64 th)) 2))))
(cbrt.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) a2) 2)) (pow.f64 (.f64 (cos.f64 th) a2) 2)) (cbrt.f64 (*.f64 (cos.f64 th) a2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2) (.f64 a2 (cbrt.f64 (cos.f64 th))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) a2) 2) (.f64 a2 (cbrt.f64 (cos.f64 th))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2) (.f64 (cos.f64 th) (cbrt.f64 a2)))) (pow.f64 (cbrt.f64 (cbrt.f64 a2)) 2))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) a2) 2) (.f64 (cos.f64 th) (cbrt.f64 a2)))) (pow.f64 (cbrt.f64 (cbrt.f64 a2)) 2))
(.f64 (.f64 (cbrt.f64 (*.f64 a2 a2)) (cos.f64 th)) (cbrt.f64 a2))
(*.f64 (cos.f64 th) a2)
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2) (pow.f64 (.f64 a2 (cos.f64 th)) 2))))
(cbrt.f64 (.f64 (cbrt.f64 (cos.f64 th)) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2) (pow.f64 (.f64 (cos.f64 th) a2) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2) (cbrt.f64 (.f64 a2 (cos.f64 th))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 th) a2))) 2) (cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) a2) 2) (cbrt.f64 (*.f64 (cos.f64 th) a2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2) (cos.f64 th))) (cbrt.f64 a2))
(cbrt.f64 (.f64 a2 (.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 2) (cos.f64 th))))
(.f64 (cbrt.f64 a2) (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (*.f64 a2 (cos.f64 th)) 2))))
(cbrt.f64 (.f64 a2 (.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 2) (cos.f64 th))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (pow.f64 (*.f64 a2 (cos.f64 th)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 th) a2))) 2) (cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) a2) 2) (cbrt.f64 (*.f64 (cos.f64 th) a2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2) (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) a2) 2) (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2) (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th)))))
(cbrt.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) a2) 2)) (pow.f64 (.f64 (cos.f64 th) a2) 2)) (cbrt.f64 (*.f64 (cos.f64 th) a2))))
(.f64 (cbrt.f64 (.f64 a2 a2)) (*.f64 (cos.f64 th) (cbrt.f64 a2)))
(*.f64 (cos.f64 th) a2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2) (cbrt.f64 (cos.f64 th)))
(.f64 (.f64 a2 (cbrt.f64 (cos.f64 th))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2))
(.f64 (.f64 a2 (cbrt.f64 (cos.f64 th))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (cbrt.f64 a2) (.f64 (cbrt.f64 (*.f64 a2 a2)) (cos.f64 th)))
(*.f64 (cos.f64 th) a2)
(.f64 (.f64 (cos.f64 th) (cbrt.f64 a2)) (cbrt.f64 (*.f64 a2 a2)))
(*.f64 (cos.f64 th) a2)
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2) (cbrt.f64 a2))) (cbrt.f64 (.f64 (cbrt.f64 (*.f64 a2 a2)) (cos.f64 th))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) a2) 2) (cbrt.f64 a2)) (.f64 (cos.f64 th) (cbrt.f64 (*.f64 a2 a2)))))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (cbrt.f64 a2))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (pow.f64 (*.f64 a2 (cos.f64 th)) 2))))
(cbrt.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 a2)) (.f64 (cbrt.f64 (.f64 a2 a2)) (pow.f64 (*.f64 (cos.f64 th) a2) 2))))
(.f64 2 (.f64 1/2 (*.f64 a2 (cos.f64 th))))
(.f64 (.f64 1/2 (cos.f64 th)) (+.f64 a2 a2))
(.f64 2 (.f64 (*.f64 a2 (cos.f64 th)) 1/2))
(.f64 (.f64 1/2 (cos.f64 th)) (+.f64 a2 a2))
(.f64 8 (pow.f64 (.f64 1/2 (cbrt.f64 (*.f64 a2 (cos.f64 th)))) 3))
(.f64 8 (.f64 (pow.f64 1/2 3) (*.f64 (cos.f64 th) a2)))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/2) (*.f64 a2 (cos.f64 th))))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 1/2)) (*.f64 (cos.f64 th) a2))
(.f64 1 (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) a2)
(.f64 (.f64 a2 (cos.f64 th)) 1)
(*.f64 (cos.f64 th) a2)
(.f64 1/2 (+.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(.f64 (.f64 1/2 (cos.f64 th)) (+.f64 a2 a2))
(/.f64 (*.f64 a2 (cos.f64 th)) 1)
(*.f64 (cos.f64 th) a2)
(pow.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3) 1/3)
(*.f64 (cos.f64 th) a2)
(pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 3)
(*.f64 (cos.f64 th) a2)
(pow.f64 (*.f64 a2 (cos.f64 th)) 1)
(*.f64 (cos.f64 th) a2)
(neg.f64 (.f64 -2 (.f64 1/2 (*.f64 a2 (cos.f64 th)))))
(.f64 (neg.f64 -2) (.f64 a2 (*.f64 1/2 (cos.f64 th))))
(neg.f64 (.f64 -1 (.f64 a2 (cos.f64 th))))
(neg.f64 (*.f64 (neg.f64 a2) (cos.f64 th)))
(neg.f64 (.f64 (.f64 a2 (cos.f64 th)) -1))
(neg.f64 (*.f64 (neg.f64 a2) (cos.f64 th)))
(cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3))
(*.f64 (cos.f64 th) a2)

localize27.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
✓	0.4b	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))

Compiler

Compiled 41 to 13 computations (68.3% saved)

series114.0ms (0.3%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	a2	@	inf	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
2.0ms	a2	@	0	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
1.0ms	th	@	-inf	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
1.0ms	th	@	inf	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
1.0ms	th	@	0	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))

Compiler

Compiled 5905 to 4070 computations (31.1% saved)

rewrite157.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

122×	`egg-rr`
81×	`egg-rr`

Counts

2 → 203

Calls

Call 1

Inputs
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cos.f64 th) 0) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 0) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 2)) 0) (/.f64 (cbrt.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 2)))) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))) 0) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))))) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)) (cos.f64 th)) 0) (/.f64 (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)))) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change 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(cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)) (cos.f64 th)) (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)) (*.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) 1) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) (cbrt.f64 (cos.f64 th))) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 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(cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) 2) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cos.f64 th))) (fma.f64 a2 a2 (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 -1) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 th)) (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) 2) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) 1) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) 2) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) 2) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2) (/.f64 (cos.f64 th) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) 1) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) 2) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 3))))))

simplify362.0ms (1%)

Algorithm

1×

egglog

Counts

243 → 264

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
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(.f64 (cbrt.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))) (neg.f64 (pow.f64 (cbrt.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))) 2)))
(.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)) 1))
(.f64 (/.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) 2) (/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)) 1/2))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 2)) 2) (/.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) 1/2))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 2) 2)
(.f64 1/2 (/.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 1/2))
(.f64 (/.f64 (cos.f64 th) 2) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 1/2))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) 1) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) 2) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 1/2))
(.f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))) 2) (/.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 2)) 1/2))
(.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))) 1))
(.f64 (/.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))) 1/2))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2) (/.f64 (cos.f64 th) 1/2))
(.f64 (/.f64 (.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) 1) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))
(.f64 (/.f64 (.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) 2) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) 1/2))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 1)
(/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 2) 1/2)
(/.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))) -1)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 3) 1/3)
(pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 1)
(neg.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 3))

Outputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 -1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th))) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (sqrt.f64 2)) (/.f64 (.f64 1/24 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4))) (sqrt.f64 2)))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(fma.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (sqrt.f64 2)) (/.f64 (.f64 1/24 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4))) (sqrt.f64 2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 (.f64 a2 a2) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 -1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 th th))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 -1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (.f64 1/24 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4)))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/720 (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))))))
(+.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 -1/720 (.f64 (pow.f64 th 6) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 -1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (.f64 1/24 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4))))))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(if (!=.f64 (cos.f64 th) 0) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (cos.f64 th) 0) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) (cos.f64 th)))
(if (!=.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 0) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 0) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)) (cos.f64 th)))
(if (!=.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))) (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 0) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (cos.f64 th))) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) (cos.f64 th)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 2)) 0) (/.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 2)))) (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 2)) 0) (/.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 2)))) (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)) (cos.f64 th)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (.f64 a1 a1))) 0) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (.f64 a1 a1))))) (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (.f64 a1 a1))) 0) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (.f64 a1 a1))))) (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)) (cos.f64 th)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)) 0) (/.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))) (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)) 0) (/.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))) (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)) (cos.f64 th)))
(if (!=.f64 1 0) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 1 0) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) (cos.f64 th)) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) (cos.f64 th)))
(if (!=.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))) 0) (/.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))) (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))
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(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(.f64 (cos.f64 th) (neg.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 2)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (neg.f64 (cos.f64 th))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(.f64 (cbrt.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))) (neg.f64 (pow.f64 (cbrt.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))) 2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)) 1))
(.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)))
(.f64 (/.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) 2) (/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)) 1/2))
(.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 2)) 2) (/.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) 1/2))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 2) 2)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(.f64 1/2 (/.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 1/2))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) 2) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 1/2))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) 1) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))) 2) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 1/2))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))) 2) (/.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 2)) 1/2))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))) 1))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (/.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))) 1/2))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2) (/.f64 (cos.f64 th) 1/2))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(.f64 (/.f64 (.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) 1) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))
(.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)))
(.f64 (/.f64 (.f64 (cos.f64 th) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) 2) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) 1/2))
(.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cos.f64 th)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 1)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 2) 1/2)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(/.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))) -1)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))) 3)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(pow.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 3) 1/3)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 1)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(neg.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 3))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
✓	0.4b	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
✓	1.0b	(/.f64 2 (sqrt.f64 1/2))
✓	1.0b	(cbrt.f64 (/.f64 2 (sqrt.f64 1/2)))

Compiler

Compiled 54 to 26 computations (51.9% saved)

series131.0ms (0.4%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	th	@	inf	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
5.0ms	a2	@	0	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
3.0ms	a1	@	0	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
2.0ms	th	@	0	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
1.0ms	th	@	-inf	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))

Compiler

Compiled 5640 to 4725 computations (16.2% saved)

rewrite188.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

175×	`egg-rr`
137×	`egg-rr`
106×	`egg-rr`

Counts

3 → 418

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 2 (sqrt.f64 1/2)))
(/.f64 2 (sqrt.f64 1/2))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1/2 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 1/2) 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 2) 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (sqrt.f64 2)) 0) (/.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 2) 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (cbrt.f64 4)) 0) (/.f64 (cbrt.f64 (cbrt.f64 2)) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (cbrt.f64 4)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (sqrt.f64 2)) 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (sqrt.f64 1/2)) 0) (pow.f64 (sqrt.f64 (sqrt.f64 1/2)) -2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (sqrt.f64 1/2)) 0) (pow.f64 (cbrt.f64 (sqrt.f64 1/2)) -3) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 1/8) 0) (pow.f64 (sqrt.f64 1/8) -1/3) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 1/2) (*.f64 (sqrt.f64 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (sqrt.f64 2)) (*.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) (neg.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (neg.f64 (neg.f64 (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (neg.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 1/2) -1/2) (pow.f64 (sqrt.f64 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 (/.f64 -1/2 2)) (pow.f64 1/2 (/.f64 -1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -2) (/.f64 1 (cbrt.f64 (neg.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 2)) (/.f64 1 (neg.f64 (cbrt.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) 2) (/.f64 (cbrt.f64 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 2)) 2) (/.f64 (sqrt.f64 (sqrt.f64 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 2)) 1) (/.f64 (sqrt.f64 (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 2))) (fabs.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (cbrt.f64 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -2) (cbrt.f64 (/.f64 -1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sqrt.f64 1/2) -1/2)) (cbrt.f64 (/.f64 2 (sqrt.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (sqrt.f64 (sqrt.f64 1/8))))) (cbrt.f64 (cbrt.f64 (/.f64 4 (sqrt.f64 (sqrt.f64 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (pow.f64 1 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (sqrt.f64 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (*.f64 (cbrt.f64 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 -2) 1) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cbrt.f64 2)) 1) (*.f64 (neg.f64 (cbrt.f64 (sqrt.f64 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sqrt.f64 1/2) -1/2)) (neg.f64 (sqrt.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) (neg.f64 (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 -2)) (neg.f64 (cbrt.f64 (neg.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (cbrt.f64 2))) (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 2 (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sqrt.f64 1/2) -1/2) (sqrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 2)) (neg.f64 (cbrt.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 -2) (cbrt.f64 (neg.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 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(fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)) 3))))))

simplify789.0ms (2.2%)

Algorithm

1×

egglog

Counts

438 → 558

Calls

Call 1

Inputs
(/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(+.f64 (/.f64 (pow.f64 a2 2) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (/.f64 (pow.f64 a1 2) (*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (+.f64 (/.f64 (pow.f64 a2 2) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (/.f64 (pow.f64 a1 2) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (+.f64 (/.f64 (pow.f64 a2 2) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (/.f64 (pow.f64 a1 2) (*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
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(neg.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 1/2))))
(neg.f64 (.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 1/2))) 1))
(cbrt.f64 (pow.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)) 3))

Outputs
(/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))))
(/.f64 (+.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (.f64 (.f64 a1 a1) (cos.f64 th))) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))))
(/.f64 (+.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (.f64 (.f64 a1 a1) (cos.f64 th))) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))))
(/.f64 (+.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (.f64 (.f64 a1 a1) (cos.f64 th))) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))))
(/.f64 (+.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (.f64 (.f64 a1 a1) (cos.f64 th))) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))))
(/.f64 (+.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (.f64 (.f64 a1 a1) (cos.f64 th))) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))))
(/.f64 (+.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (.f64 (.f64 a1 a1) (cos.f64 th))) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (/.f64 (pow.f64 a1 2) (*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))))
(+.f64 (/.f64 (.f64 a2 a2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))) (fma.f64 -1/2 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))) (/.f64 (.f64 a1 a1) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (+.f64 (/.f64 (pow.f64 a2 2) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (/.f64 (pow.f64 a1 2) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))))))
(fma.f64 1/24 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4)) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))) (+.f64 (/.f64 (.f64 a2 a2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))) (fma.f64 -1/2 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))) (/.f64 (.f64 a1 a1) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (+.f64 (/.f64 (pow.f64 a2 2) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (/.f64 (pow.f64 a1 2) (*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))))))
(fma.f64 1/24 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4)) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))) (fma.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))) (+.f64 (/.f64 (.f64 a2 a2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))) (fma.f64 -1/2 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))) (/.f64 (.f64 a1 a1) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(if (!=.f64 1/2 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (sqrt.f64 1/2) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (cbrt.f64 2) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (sqrt.f64 (sqrt.f64 2)) 0) (/.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 2))
(if (!=.f64 (sqrt.f64 2) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (cbrt.f64 (cbrt.f64 4)) 0) (/.f64 (cbrt.f64 (cbrt.f64 2)) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (cbrt.f64 4)))) (sqrt.f64 2))
(if (!=.f64 (cbrt.f64 (cbrt.f64 4)) 0) (/.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 4)))) (sqrt.f64 2))
(if (!=.f64 (cbrt.f64 (sqrt.f64 2)) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 1 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (sqrt.f64 (sqrt.f64 1/2)) 0) (pow.f64 (sqrt.f64 (sqrt.f64 1/2)) -2) (sqrt.f64 2))
(if (!=.f64 (cbrt.f64 (sqrt.f64 1/2)) 0) (pow.f64 (cbrt.f64 (sqrt.f64 1/2)) -3) (sqrt.f64 2))
(if (!=.f64 (sqrt.f64 1/8) 0) (pow.f64 (sqrt.f64 1/8) -1/3) (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 (sqrt.f64 2) 1/2))
(*.f64 (sqrt.f64 2) (+.f64 1/2 1/2))
(+.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 1/2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (+.f64 1/2 1/2))
(-.f64 0 (neg.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(sqrt.f64 2)
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(*.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(*.f64 1 (sqrt.f64 2))
(sqrt.f64 2)
(*.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 2)))
(sqrt.f64 2)
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 2)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (.f64 (cbrt.f64 2) 2)))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 2))
(sqrt.f64 2)
(*.f64 -1 (neg.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(*.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) (neg.f64 (cbrt.f64 2)))
(sqrt.f64 2)
(*.f64 (neg.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (cbrt.f64 2))
(*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (neg.f64 (cbrt.f64 2)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (neg.f64 (neg.f64 (cbrt.f64 2))))
(sqrt.f64 2)
(*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (neg.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 (sqrt.f64 1/2) -1/2) (pow.f64 (sqrt.f64 1/2) -1/2))
(pow.f64 1/2 -1/2)
(*.f64 (pow.f64 1/2 (/.f64 -1/2 2)) (pow.f64 1/2 (/.f64 -1/2 2)))
(pow.f64 1/2 -1/2)
(*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (cbrt.f64 1/2)))
(cbrt.f64 (/.f64 (sqrt.f64 2) 1/2))
(*.f64 -1 (/.f64 -1 (sqrt.f64 1/2)))
(/.f64 (neg.f64 -1) (sqrt.f64 1/2))
(*.f64 (cbrt.f64 -2) (/.f64 1 (cbrt.f64 (neg.f64 (sqrt.f64 1/2)))))
(cbrt.f64 (/.f64 -2 (neg.f64 (sqrt.f64 1/2))))
(*.f64 (neg.f64 (cbrt.f64 2)) (/.f64 1 (neg.f64 (cbrt.f64 (sqrt.f64 1/2)))))
(cbrt.f64 (/.f64 2 (sqrt.f64 1/2)))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) 2) (/.f64 (cbrt.f64 2) 1/2))
(/.f64 (/.f64 (sqrt.f64 2) 1/2) 2)
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 2)) 2) (/.f64 (sqrt.f64 (sqrt.f64 2)) 1/2))
(/.f64 (/.f64 (sqrt.f64 2) 1/2) 2)
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 2)) 1) (/.f64 (sqrt.f64 (sqrt.f64 2)) 1))
(sqrt.f64 2)
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 2))) (fabs.f64 (cbrt.f64 2)))
(.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (.f64 2 (cbrt.f64 (sqrt.f64 2)))))
(sqrt.f64 2)
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (cbrt.f64 4)) 2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (/.f64 -1 (sqrt.f64 1/2))))
(cbrt.f64 (/.f64 (*.f64 -2 -1) (sqrt.f64 1/2)))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 1/2) -1/2)) (cbrt.f64 (/.f64 2 (sqrt.f64 (sqrt.f64 1/2)))))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 1/2 -1/4) 2) (sqrt.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (sqrt.f64 (sqrt.f64 1/8))))) (cbrt.f64 (cbrt.f64 (/.f64 4 (sqrt.f64 (sqrt.f64 1/8))))))
(cbrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sqrt.f64 (sqrt.f64 1/8))) (/.f64 4 (sqrt.f64 (sqrt.f64 1/8))))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 1/2)))))
(cbrt.f64 (/.f64 2 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 2) (pow.f64 1 -1/2))
(sqrt.f64 2)
(*.f64 (pow.f64 1 -1/2) (sqrt.f64 2))
(sqrt.f64 2)
(*.f64 1/2 (sqrt.f64 8))
(.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (.f64 (cbrt.f64 2) (sqrt.f64 2))))
(cbrt.f64 (.f64 (.f64 (cbrt.f64 4) (cbrt.f64 2)) (sqrt.f64 2)))
(/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 1/2))
(cbrt.f64 (/.f64 (sqrt.f64 2) 1/2))
(/.f64 (neg.f64 (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 1/2)))
(cbrt.f64 (/.f64 2 (sqrt.f64 1/2)))
(/.f64 (neg.f64 (sqrt.f64 2)) -1)
(sqrt.f64 2)
(/.f64 (.f64 (cbrt.f64 -2) 1) (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 1/2))) 1))
(cbrt.f64 (/.f64 -2 (neg.f64 (sqrt.f64 1/2))))
(/.f64 (.f64 (neg.f64 (cbrt.f64 2)) 1) (.f64 (neg.f64 (cbrt.f64 (sqrt.f64 1/2))) 1))
(cbrt.f64 (/.f64 2 (sqrt.f64 1/2)))
(/.f64 (neg.f64 (pow.f64 (sqrt.f64 1/2) -1/2)) (neg.f64 (sqrt.f64 (sqrt.f64 1/2))))
(/.f64 (pow.f64 1/2 -1/4) (sqrt.f64 (sqrt.f64 1/2)))
(/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) (neg.f64 (cbrt.f64 1/2)))
(cbrt.f64 (/.f64 (sqrt.f64 2) 1/2))
(/.f64 (neg.f64 (cbrt.f64 -2)) (neg.f64 (cbrt.f64 (neg.f64 (sqrt.f64 1/2)))))
(cbrt.f64 (/.f64 -2 (neg.f64 (sqrt.f64 1/2))))
(/.f64 (neg.f64 (neg.f64 (cbrt.f64 2))) (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 1/2)))))
(cbrt.f64 (/.f64 2 (sqrt.f64 1/2)))
(/.f64 (cbrt.f64 (/.f64 2 (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))))
(cbrt.f64 (/.f64 2 (sqrt.f64 1/2)))
(/.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 1/2)))
(cbrt.f64 (/.f64 2 (sqrt.f64 1/2)))
(/.f64 (pow.f64 (sqrt.f64 1/2) -1/2) (sqrt.f64 (sqrt.f64 1/2)))
(/.f64 (pow.f64 1/2 -1/4) (sqrt.f64 (sqrt.f64 1/2)))
(/.f64 (neg.f64 (cbrt.f64 2)) (neg.f64 (cbrt.f64 (sqrt.f64 1/2))))
(cbrt.f64 (/.f64 2 (sqrt.f64 1/2)))
(/.f64 -1 (neg.f64 (sqrt.f64 1/2)))
(/.f64 (neg.f64 -1) (sqrt.f64 1/2))
(/.f64 (cbrt.f64 -2) (cbrt.f64 (neg.f64 (sqrt.f64 1/2))))
(cbrt.f64 (/.f64 -2 (neg.f64 (sqrt.f64 1/2))))
(/.f64 1 (sqrt.f64 1/2))
(/.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))))
(/.f64 (cbrt.f64 (*.f64 (cbrt.f64 2) 2)) (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))))
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(/.f64 (/.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (neg.f64 (cbrt.f64 2)))
(/.f64 (neg.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2)))) (neg.f64 (cbrt.f64 2)))
(/.f64 (/.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))) (cbrt.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (cbrt.f64 (.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))) (pow.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 2) 1/2)) (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 2) 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 2))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 2))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))) (fma.f64 a2 a2 (*.f64 a1 a1))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cos.f64 th)) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))) (cbrt.f64 (.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 2) 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 2) 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (cos.f64 th) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(pow.f64 (pow.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)) 3) 1/3)
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2))
(pow.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2))) 3)
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2))
(pow.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2))
(neg.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (neg.f64 (neg.f64 (sqrt.f64 1/2))))
(neg.f64 (.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 1/2))) 1))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (neg.f64 (neg.f64 (sqrt.f64 1/2))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)) 3))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2))

eval1.1s (3%)

Compiler: Compiled 62113 to 30565 computations (50.8% saved)

prune847.0ms (2.4%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	2305	16	2321
Fresh	7	1	8
Picked	1	0	1
Done	2	2	4
Total	2315	19	2334

Error

Counts

2334 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	24.2b	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
	0.5b	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (pow.f64 1/8 -1/6))
▶	28.5b	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
	26.1b	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
	26.5b	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
▶	28.2b	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	12.4b	(+.f64 (if (!=.f64 a1 0) (/.f64 (.f64 (cos.f64 th) a1) (/.f64 (sqrt.f64 2) a1)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
▶	0.4b	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
	28.2b	(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))
	28.4b	(.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) (.f64 (cos.f64 th) (cbrt.f64 a2))) (cbrt.f64 (*.f64 a2 a2)))
	28.1b	(.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) a2)
✓	28.1b	(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
	40.2b	(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
	26.1b	(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
▶	28.2b	(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
✓	26.1b	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
	40.2b	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
▶	38.0b	(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
	26.1b	(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))

Compiler

Compiled 492 to 362 computations (26.4% saved)

localize14.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sqrt.f64 1/2) (cos.f64 th))
✓	0.3b	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series62.0ms (0.2%)

Counts

2 → 22

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	th	@	-inf	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
1.0ms	th	@	inf	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
1.0ms	a2	@	0	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
0.0ms	th	@	0	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
0.0ms	a2	@	inf	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))

Compiler

Compiled 3700 to 2755 computations (25.5% saved)

rewrite271.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

163×	`egg-rr`
90×	`egg-rr`

Counts

2 → 253

Calls

Call 1

Inputs
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)) (*.f64 1/2 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)) 2) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)) 3) (pow.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)) 2) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)))))) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)) 3) (pow.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)) 2) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)))))) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)) 3) (pow.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)) 2) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)))))) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)) 2) (pow.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 2)) (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)) 1/2) (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)) 1/2)) 0) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)) 1/2) (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)) 1/2)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)) 1/2) (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))))))

simplify490.0ms (1.4%)

Algorithm

1×

egglog

Counts

275 → 342

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
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(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2)))) 2) (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))))))
(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 1/2))) (pow.f64 1/2 1/8)) (pow.f64 1/2 1/8))
(.f64 (cbrt.f64 (/.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 2))) (cbrt.f64 (cos.f64 th)))
(.f64 (/.f64 (.f64 (cos.f64 th) 2) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (pow.f64 1/8 5/6)))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (.f64 (cbrt.f64 1/2) (.f64 1/2 (pow.f64 (cos.f64 th) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 1/2))) (.f64 1/2 (pow.f64 (cos.f64 th) 2)))))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 2) 1/2)
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cbrt.f64 1/2) (cos.f64 th)))
(.f64 (.f64 (cbrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 (cbrt.f64 1/2)) (*.f64 (cbrt.f64 1/2) (cos.f64 th))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 2))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 1/2)) (*.f64 (cbrt.f64 1/2) (cos.f64 th))) (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (/.f64 (.f64 (cos.f64 th) 2) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 1/16))
(.f64 (.f64 (cos.f64 th) 2) (sqrt.f64 1/8))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 1/2) (cos.f64 th)) (.f64 1/2 (pow.f64 (cos.f64 th) 2)))))
(.f64 1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)
(.f64 2 (.f64 (sqrt.f64 1/8) (cos.f64 th)))
(.f64 (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 1/2) (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))))
(/.f64 (cos.f64 th) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) -1) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) 2) (sqrt.f64 8))
(/.f64 (*.f64 -1 (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 2 (cos.f64 th)) (sqrt.f64 8))
(/.f64 (*.f64 (cbrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 1/4) 1/4)
(/.f64 (.f64 1/4 (.f64 (sqrt.f64 1/2) (cos.f64 th))) 1/4)
(/.f64 (*.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 2) 2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)
(pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) (cos.f64 th))))
(neg.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) -1))
(neg.f64 (.f64 (.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 2) -1/2))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))

Outputs
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (*.f64 a2 a2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (*.f64 a2 a2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (*.f64 a2 a2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (*.f64 a2 a2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (*.f64 a2 a2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (*.f64 a2 a2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th))) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4))) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th))) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4))) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th))) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1))))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (sqrt.f64 1/2)))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (sqrt.f64 1/2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (+.f64 (sqrt.f64 1/2) (.f64 -1/720 (.f64 (sqrt.f64 1/2) (pow.f64 th 6))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (+.f64 (fma.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (sqrt.f64 1/2)) (.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6)))))
(fma.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (*.f64 a2 a2) (cos.f64 th))))
(fma.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 a2 a2) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(fma.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (.f64 a2 a2) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(fma.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (*.f64 a2 a2) (cos.f64 th))))
(fma.f64 (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 1/2) (.f64 a2 a2)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(fma.f64 1/2 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)) (.f64 1/2 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2))))
(.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 1/2) (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) 2)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)) 2) (.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (-.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)) 3) (pow.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3)) (+.f64 (pow.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)) 2) (.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (-.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)))))) (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th))) 2) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2) (neg.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th)))))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th))) 3)) (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th))) 2) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2) (neg.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th))))))))) (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)) 3) (pow.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3)) (+.f64 (pow.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)) 2) (.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (-.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)))))) (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th))) 3)) (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th))) 2) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2) (neg.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th))))))))) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)) 3) (pow.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3)) (+.f64 (pow.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)) 2) (.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (-.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th)))))) (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th))) 3)) (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th))) 2) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2) (neg.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th))))))))) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 1/2)))
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(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 2) 2)
(/.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) 2)) 2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) (cos.f64 th))))
(neg.f64 (neg.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(neg.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) -1))
(neg.f64 (neg.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(neg.f64 (.f64 (.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 2) -1/2))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) 2)) (neg.f64 -1/2))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sqrt.f64 1/2) (.f64 a1 a1))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series10.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	a1	@	0	(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
1.0ms	a1	@	inf	(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
0.0ms	a1	@	-inf	(.f64 (sqrt.f64 1/2) (.f64 a1 a1))

Compiler

Compiled 460 to 400 computations (13% saved)

rewrite165.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

163× egg-rr

Counts

1 → 163

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) a1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2 (*.f64 (sqrt.f64 1/8) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (*.f64 a1 a1) 3)))))))

simplify251.0ms (0.7%)

Algorithm

1×

egglog

Counts

167 → 230

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(fma.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 1/2 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)))
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(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (/.f64 (.f64 (*.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 1/2) a1)) (/.f64 (.f64 (.f64 (cbrt.f64 (*.f64 a1 a1)) a1) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) a1)) (/.f64 (.f64 (.f64 (cbrt.f64 (*.f64 a1 a1)) a1) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (/.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) 2)) (cbrt.f64 (cbrt.f64 4))))
(.f64 (/.f64 (.f64 (*.f64 a1 a1) (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2)))) 1) (cbrt.f64 (cbrt.f64 1/16)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (.f64 (cbrt.f64 1/2) (*.f64 a1 (cbrt.f64 a1))))
(.f64 (.f64 (cbrt.f64 1/2) (.f64 a1 (cbrt.f64 a1))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (.f64 a1 a1) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 1/2) (.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 a1)) a1) (cbrt.f64 (.f64 a1 a1)))
(.f64 (.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/4)))
(.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1)
(.f64 (cbrt.f64 (cbrt.f64 1/2)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 1/4)) (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (cbrt.f64 1/2)) (/.f64 (.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4))))
(.f64 (cbrt.f64 (pow.f64 1/2 5/6)) (.f64 (cbrt.f64 (cbrt.f64 1/4)) (*.f64 a1 a1)))
(.f64 (cbrt.f64 (pow.f64 1/2 5/6)) (/.f64 (.f64 a1 a1) (cbrt.f64 (cbrt.f64 4))))
(.f64 (/.f64 (.f64 (*.f64 a1 a1) (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (pow.f64 1/2 5/6)))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 2) 1/2)
(.f64 2 (.f64 (sqrt.f64 1/8) (*.f64 a1 a1)))
(.f64 2 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 2))
(.f64 8 (pow.f64 (.f64 1/2 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))) 3))
(/.f64 (.f64 -4 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2)))) (.f64 -4 (cbrt.f64 2)))
(/.f64 (.f64 -2 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2)))) (.f64 -2 (cbrt.f64 2)))
(/.f64 (.f64 1/4 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2)))) (.f64 1/4 (cbrt.f64 2)))
(/.f64 (.f64 4 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2)))) (.f64 4 (cbrt.f64 2)))
(/.f64 (.f64 -4 (.f64 a1 a1)) (*.f64 -4 (sqrt.f64 2)))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(/.f64 (.f64 4 (.f64 a1 a1)) (*.f64 4 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) 2) (sqrt.f64 8))
(/.f64 (.f64 (.f64 a1 a1) -1) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2))) a1) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 2) (cbrt.f64 1/2)) (cbrt.f64 4))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 2) -1) -2)
(/.f64 (.f64 2 (.f64 a1 a1)) (sqrt.f64 8))
(/.f64 (.f64 -1 (.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 -2 (.f64 (sqrt.f64 1/8) (*.f64 a1 a1))) -1)
(/.f64 (.f64 (cbrt.f64 1/2) (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (sqrt.f64 (sqrt.f64 1/2))) (pow.f64 1/2 1/12)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 -2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 8)))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))
(/.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 1)
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2) 2)
(/.f64 (.f64 2 (.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 16))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(pow.f64 (.f64 (sqrt.f64 1/8) (pow.f64 (.f64 a1 a1) 3)) 1/3)
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) 3)
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) a1) 2)
(neg.f64 (.f64 -2 (.f64 (sqrt.f64 1/8) (*.f64 a1 a1))))
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(neg.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 2) -1/2))
(neg.f64 (.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) -1))
(cbrt.f64 (.f64 (sqrt.f64 1/8) (pow.f64 (.f64 a1 a1) 3)))

Outputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(fma.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 1/2 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)))
(fma.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 1/2 (.f64 a1 (.f64 (sqrt.f64 1/8) a1)))
(if (!=.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cbrt.f64 (.f64 a1 a1)) (/.f64 (cbrt.f64 2) (.f64 (.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(if (!=.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 1 (/.f64 (cbrt.f64 2) (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))) 0) (/.f64 1 (/.f64 (cbrt.f64 2) (.f64 a1 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) 2)) 0) (/.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2)))) (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) 2)))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))) 2)) 0) (/.f64 (cbrt.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2))))) (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))) 2)))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 (pow.f64 1/2 1/12) 0) (/.f64 (.f64 (.f64 a1 a1) (pow.f64 1/2 1/12)) (/.f64 (cbrt.f64 2) (pow.f64 1/2 1/12))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 (pow.f64 1/2 1/12) 0) (/.f64 (.f64 a1 (.f64 a1 (pow.f64 1/2 1/12))) (/.f64 (cbrt.f64 2) (pow.f64 1/2 1/12))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 (cbrt.f64 (sqrt.f64 1/2)) 0) (/.f64 (.f64 a1 a1) (/.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 1/2)))) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(if (!=.f64 (cbrt.f64 (sqrt.f64 1/2)) 0) (/.f64 (.f64 a1 a1) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2)))) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(if (!=.f64 (cbrt.f64 (cbrt.f64 1/2)) 0) (/.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2)))) (/.f64 (cbrt.f64 2) (cbrt.f64 (cbrt.f64 1/2)))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 (cbrt.f64 (cbrt.f64 1/2)) 0) (/.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))))) (cbrt.f64 (/.f64 2 (cbrt.f64 1/2)))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 (.f64 (.f64 (cbrt.f64 (.f64 a1 a1)) a1) (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 2) (.f64 (.f64 (cbrt.f64 (.f64 a1 a1)) a1) (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 (.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))) 0) (/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 (.f64 a1 a1) 0) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (cbrt.f64 2) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2))) 0) (/.f64 a1 (/.f64 (cbrt.f64 2) (.f64 a1 (cbrt.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 (.f64 a1 (pow.f64 1/2 1/12)) 0) (/.f64 (.f64 a1 (pow.f64 1/2 1/12)) (/.f64 (cbrt.f64 2) (.f64 a1 (pow.f64 1/2 1/12)))) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(if (!=.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) 0) (/.f64 (.f64 a1 (cbrt.f64 a1)) (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1))))) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(if (!=.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) 0) (/.f64 (.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (/.f64 2 (.f64 (sqrt.f64 1/2) (.f64 a1 a1))))) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(if (!=.f64 (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) (.f64 (sqrt.f64 1/8) (.f64 a1 a1))) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) (.f64 (sqrt.f64 1/8) (.f64 a1 a1))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) (.f64 (sqrt.f64 1/8) (.f64 a1 a1))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 3) (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) (.f64 (sqrt.f64 1/8) (.f64 a1 a1))) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) (.f64 (sqrt.f64 1/8) (.f64 a1 a1))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) (.f64 (sqrt.f64 1/8) (.f64 a1 a1)))))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 (+.f64 (.f64 1/8 (pow.f64 (.f64 a1 a1) 2)) 0) 0) (/.f64 (.f64 2 (pow.f64 (.f64 a1 (.f64 (sqrt.f64 1/8) a1)) 3)) (+.f64 (.f64 1/8 (pow.f64 (.f64 a1 a1) 2)) 0)) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(if (!=.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 3) (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) (.f64 (sqrt.f64 1/8) (.f64 a1 a1))) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) (.f64 (sqrt.f64 1/8) (.f64 a1 a1))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) (.f64 (sqrt.f64 1/8) (.f64 a1 a1)))))) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(if (!=.f64 (.f64 a1 (.f64 (sqrt.f64 1/8) a1)) 0) (/.f64 (.f64 2 (pow.f64 (.f64 a1 (.f64 (sqrt.f64 1/8) a1)) 3)) (+.f64 (.f64 1/8 (pow.f64 (.f64 a1 a1) 2)) 0)) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(if (!=.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) a1) 0) (/.f64 1 (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) a1) -2)) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) a1) 0) (pow.f64 (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) a1) -2) -1) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 0) (/.f64 1 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) -1)) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 0) (pow.f64 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) -1) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 (-.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) (.f64 (sqrt.f64 1/8) (.f64 a1 a1))) 0) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) (.f64 (sqrt.f64 1/8) (.f64 a1 a1))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) (.f64 (sqrt.f64 1/8) (.f64 a1 a1)))) (-.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) (.f64 (sqrt.f64 1/8) (.f64 a1 a1)))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 0 0) (/.f64 0 0) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(if (!=.f64 1 0) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(+.f64 (.f64 a1 (.f64 (sqrt.f64 1/8) a1)) (.f64 a1 (.f64 (sqrt.f64 1/8) a1)))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/8) a1)) 2)
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 2) 1/4) (.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 2) 1/4))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) a1) (.f64 1/2 a1)) (.f64 (.f64 (sqrt.f64 1/2) a1) (.f64 1/2 a1)))
(.f64 2 (.f64 (.f64 1/2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(+.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) (.f64 (sqrt.f64 1/8) (.f64 a1 a1)))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/8) a1)) 2)
(+.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/8) a1)) 2)
(+.f64 (.f64 1/4 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 2)) (.f64 1/4 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 2)))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(+.f64 (.f64 (.f64 1/2 a1) (.f64 (sqrt.f64 1/2) a1)) (.f64 (.f64 1/2 a1) (.f64 (sqrt.f64 1/2) a1)))
(.f64 2 (.f64 (.f64 1/2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(+.f64 (.f64 (.f64 1/2 (.f64 a1 a1)) (sqrt.f64 1/2)) (.f64 (.f64 1/2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(.f64 2 (.f64 (.f64 1/2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(.f64 (.f64 (.f64 (cbrt.f64 1/2) (.f64 a1 (cbrt.f64 a1))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) a1))) (cbrt.f64 a1))
(.f64 (.f64 (.f64 (cbrt.f64 1/2) (.f64 a1 (cbrt.f64 a1))) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1))))) (cbrt.f64 (.f64 (cbrt.f64 1/2) (.f64 a1 (cbrt.f64 a1)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a1 a1))) (.f64 (cbrt.f64 (.f64 a1 (cbrt.f64 a1))) (.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 a1)) a1)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 1/2) (.f64 a1 (cbrt.f64 a1)))) (.f64 (cbrt.f64 1/2) (.f64 a1 (cbrt.f64 a1)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) a1) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) a1))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (.f64 a1 (cbrt.f64 a1)))) (sqrt.f64 2)) (cbrt.f64 (pow.f64 (*.f64 a1 (cbrt.f64 a1)) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 a1 3) (cbrt.f64 a1))) (cbrt.f64 (pow.f64 (*.f64 a1 (cbrt.f64 a1)) 2))) (sqrt.f64 2))
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(/.f64 (.f64 (.f64 a1 (*.f64 a1 (pow.f64 1/2 1/12))) (pow.f64 1/2 1/12)) (cbrt.f64 2))
(.f64 (/.f64 (.f64 (*.f64 a1 a1) (pow.f64 1/2 1/12)) 1) (cbrt.f64 (sqrt.f64 (pow.f64 1/8 5/6))))
(.f64 (cbrt.f64 (pow.f64 1/8 5/12)) (.f64 a1 (*.f64 a1 (pow.f64 1/2 1/12))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 1/2) (.f64 a1 a1))) (/.f64 (.f64 (*.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4))))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 1/2) a1) a1)) (.f64 (*.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (cbrt.f64 4)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (/.f64 (.f64 (*.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 a1 a1))) (.f64 (*.f64 a1 (cbrt.f64 a1)) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 1/2) a1)) (/.f64 (.f64 (.f64 (cbrt.f64 (*.f64 a1 a1)) a1) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4))))
(/.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 1/2) a1)) (.f64 (cbrt.f64 (.f64 a1 a1)) (*.f64 a1 (cbrt.f64 (sqrt.f64 1/2))))) (cbrt.f64 (cbrt.f64 4)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) a1)) (/.f64 (.f64 (.f64 (cbrt.f64 (*.f64 a1 a1)) a1) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) a1)) (/.f64 (.f64 (cbrt.f64 (.f64 a1 a1)) (*.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (sqrt.f64 2))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (/.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) 2)) (cbrt.f64 (cbrt.f64 4))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (cbrt.f64 (/.f64 (pow.f64 (.f64 a1 (*.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))) 2) (cbrt.f64 4))))
(.f64 (/.f64 (.f64 (*.f64 a1 a1) (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2)))) 1) (cbrt.f64 (cbrt.f64 1/16)))
(.f64 (.f64 a1 (*.f64 a1 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))))) (cbrt.f64 (cbrt.f64 1/16)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (.f64 (cbrt.f64 1/2) (*.f64 a1 (cbrt.f64 a1))))
(.f64 (.f64 (cbrt.f64 1/2) (.f64 a1 (cbrt.f64 a1))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (.f64 (cbrt.f64 1/2) (*.f64 a1 (cbrt.f64 a1))))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (.f64 a1 a1) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 1/2) a1))
(.f64 (cbrt.f64 1/2) (.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 1/2) a1))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 a1)) a1) (cbrt.f64 (.f64 a1 a1)))
(.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 a1)) a1))
(.f64 (.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/4)))
(.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))) (.f64 (cbrt.f64 (cbrt.f64 1/2)) (cbrt.f64 (cbrt.f64 1/4))))
(.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1)
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (cbrt.f64 (cbrt.f64 1/2)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 1/4)) (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 1/2)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 1/4)) a1) a1)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (cbrt.f64 1/2)) (/.f64 (.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4))))
(/.f64 (.f64 (.f64 a1 (*.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4)))
(.f64 (cbrt.f64 (pow.f64 1/2 5/6)) (.f64 (cbrt.f64 (cbrt.f64 1/4)) (*.f64 a1 a1)))
(.f64 (.f64 (cbrt.f64 (pow.f64 1/2 5/6)) (cbrt.f64 (cbrt.f64 1/4))) (*.f64 a1 a1))
(.f64 (cbrt.f64 (pow.f64 1/2 5/6)) (/.f64 (.f64 a1 a1) (cbrt.f64 (cbrt.f64 4))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 1/2 5/6)) (.f64 a1 a1)) (cbrt.f64 (cbrt.f64 4)))
(.f64 (/.f64 (.f64 (*.f64 a1 a1) (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (pow.f64 1/2 5/6)))
(/.f64 (.f64 (.f64 a1 (*.f64 a1 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))))) (cbrt.f64 (pow.f64 1/2 5/6))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 2) 1/2)
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 2 (.f64 (sqrt.f64 1/8) (*.f64 a1 a1)))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/8) a1)) 2)
(.f64 2 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/8) a1)) 2)
(.f64 1/2 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 8 (pow.f64 (.f64 1/2 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))) 3))
(.f64 8 (.f64 1/8 (.f64 (sqrt.f64 1/2) (.f64 a1 a1))))
(/.f64 (.f64 -4 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2)))) (.f64 -4 (cbrt.f64 2)))
(/.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 2))
(/.f64 (.f64 -2 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2)))) (.f64 -2 (cbrt.f64 2)))
(/.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 2))
(/.f64 (.f64 1/4 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2)))) (.f64 1/4 (cbrt.f64 2)))
(/.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 2))
(/.f64 (.f64 4 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2)))) (.f64 4 (cbrt.f64 2)))
(/.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 2))
(/.f64 (.f64 -4 (.f64 a1 a1)) (*.f64 -4 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (.f64 4 (.f64 a1 a1)) (*.f64 4 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) 2) (sqrt.f64 8))
(/.f64 (.f64 (.f64 a1 a1) -1) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2))) a1) (cbrt.f64 2))
(/.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 2) (cbrt.f64 1/2)) (cbrt.f64 4))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 2 (cbrt.f64 1/2))) (cbrt.f64 4))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 2) -1) -2)
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(/.f64 (.f64 2 (.f64 a1 a1)) (sqrt.f64 8))
(/.f64 (.f64 (.f64 a1 a1) 2) (sqrt.f64 8))
(/.f64 (.f64 -1 (.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (.f64 -2 (.f64 (sqrt.f64 1/8) (*.f64 a1 a1))) -1)
(.f64 (.f64 -2 (.f64 a1 (.f64 (sqrt.f64 1/8) a1))) -1)
(/.f64 (.f64 (cbrt.f64 1/2) (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (cbrt.f64 1/2) a1) a1) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (sqrt.f64 (sqrt.f64 1/2))) (pow.f64 1/2 1/12)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) a1)) (pow.f64 1/2 1/12)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 a1 (.f64 (sqrt.f64 (sqrt.f64 1/2)) a1)) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 -2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 8)))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (neg.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))
(/.f64 (.f64 a1 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 2))
(/.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 1)
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (.f64 (.f64 a1 (*.f64 a1 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2) 2)
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(/.f64 (.f64 2 (.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 16))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) 2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 16))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/8) a1)) 2)
(pow.f64 (.f64 (sqrt.f64 1/8) (pow.f64 (.f64 a1 a1) 3)) 1/3)
(.f64 (cbrt.f64 (sqrt.f64 1/8)) (.f64 a1 a1))
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 1)
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) 3)
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) a1) 2)
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(neg.f64 (.f64 -2 (.f64 (sqrt.f64 1/8) (*.f64 a1 a1))))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/8) a1)) 2)
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(neg.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 2) -1/2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(neg.f64 (.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) -1))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(cbrt.f64 (.f64 (sqrt.f64 1/8) (pow.f64 (.f64 a1 a1) 3)))
(.f64 (cbrt.f64 (sqrt.f64 1/8)) (.f64 a1 a1))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 a2 (.f64 a2 (cos.f64 th)))
	0.1b	(*.f64 a2 (cos.f64 th))
✓	0.3b	(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))

Compiler

Compiled 29 to 12 computations (58.6% saved)

series54.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	th	@	-inf	(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
1.0ms	a2	@	0	(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
1.0ms	a2	@	inf	(.f64 a2 (.f64 a2 (cos.f64 th)))
1.0ms	th	@	inf	(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
1.0ms	th	@	0	(.f64 a2 (.f64 a2 (cos.f64 th)))

Compiler

Compiled 2550 to 1795 computations (29.6% saved)

rewrite222.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

136×	`egg-rr`
75×	`egg-rr`

Counts

2 → 211

Calls

Call 1

Inputs
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 a2 (.f64 a2 (cos.f64 th)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 1/2 (*.f64 (sqrt.f64 1/8) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/8) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (*.f64 (sqrt.f64 1/8) (*.f64 a2 (*.f64 a2 (cos.f64 th))))) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/8) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (*.f64 (sqrt.f64 1/8) (*.f64 a2 (*.f64 a2 (cos.f64 th))))) (*.f64 (*.f64 (sqrt.f64 1/8) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (*.f64 (sqrt.f64 1/8) (*.f64 a2 (*.f64 a2 (cos.f64 th))))))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 3) (pow.f64 (*.f64 (sqrt.f64 1/8) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 3)) (+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) (*.f64 a2 (*.f64 a2 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)) a2) (cbrt.f64 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a2 (cbrt.f64 (*.f64 a2 (cos.f64 th)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (cbrt.f64 (*.f64 a2 (cos.f64 th)))) (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)) (*.f64 a2 (cbrt.f64 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (cbrt.f64 (cos.f64 th))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (cbrt.f64 a2)) (*.f64 (cbrt.f64 (*.f64 a2 a2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2) (*.f64 a2 (cbrt.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 a2 a2)) (cos.f64 th)) (*.f64 a2 (cbrt.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th)))) 2) 2) (*.f64 (*.f64 a2 (cbrt.f64 (*.f64 a2 (cos.f64 th)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 a2 (cos.f64 th)) (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th)))) 2) 2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th)))) 2) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th)))) 2) 2) a2) (cbrt.f64 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)) a2)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)) a2)) 2) (cbrt.f64 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a2 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2) (sqrt.f64 1/2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2) -1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2) (cbrt.f64 1/2)) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2) (cbrt.f64 1/4)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2 (*.f64 1/2 (*.f64 a2 (*.f64 a2 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 3))))))

simplify1.6s (4.4%)

Algorithm

1×

egglog

Counts

243 → 250

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 4))))))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (pow.f64 a2 2)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 4)))))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/24 (.f64 (pow.f64 a2 2) (pow.f64 th 4))) (.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2)))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/24 (.f64 (pow.f64 a2 2) (pow.f64 th 4))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 th 6) (pow.f64 a2 2))) (.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2))))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(fma.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 1/2 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(fma.f64 1/2 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(if (!=.f64 (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) 3) (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))))))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) 3) (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))))))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 0) (/.f64 1 (pow.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) -1)) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 1 0) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (-.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))) 0) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))))) (-.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(+.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(+.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) (.f64 1/2 a2)) (.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) (.f64 1/2 a2)))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 1/2 (cos.f64 th))) (.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 1/2 (cos.f64 th))))
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) a2) (.f64 1/2 (cos.f64 th))) (.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) a2) (.f64 1/2 (cos.f64 th))))
(+.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (.f64 1/2 (.f64 a2 a2))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (.f64 1/2 (.f64 a2 a2))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 1/2 (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (sqrt.f64 1/2) (.f64 1/2 (.f64 a2 (.f64 a2 (cos.f64 th))))))
(+.f64 (.f64 (.f64 1/2 a2) (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2))) (.f64 (.f64 1/2 a2) (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2))))
(+.f64 (.f64 (.f64 1/2 (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (.f64 (.f64 1/2 (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(+.f64 (.f64 (.f64 1/2 (cos.f64 th)) (.f64 (.f64 (sqrt.f64 1/2) a2) a2)) (.f64 (.f64 1/2 (cos.f64 th)) (.f64 (.f64 (sqrt.f64 1/2) a2) a2)))
(+.f64 (.f64 (.f64 1/2 (.f64 a2 a2)) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (.f64 (.f64 1/2 (.f64 a2 a2)) (.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (.f64 (.f64 1/2 (.f64 a2 (.f64 a2 (cos.f64 th)))) (sqrt.f64 1/2)) (.f64 (.f64 1/2 (.f64 a2 (.f64 a2 (cos.f64 th)))) (sqrt.f64 1/2)))
(+.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) 1) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) 1))
(.f64 (cbrt.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2))))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2))) (cbrt.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2))) (cbrt.f64 (*.f64 a2 (cos.f64 th))))
(.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))))) (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2)))))
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(+.f64 (.f64 (.f64 1/2 (.f64 a2 (.f64 a2 (cos.f64 th)))) 1) (.f64 (.f64 1/2 (.f64 a2 (.f64 a2 (cos.f64 th)))) 1))
(.f64 (cbrt.f64 a2) (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 a2 (cos.f64 th))))
(.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 a2 (cos.f64 th))) (cbrt.f64 a2))
(.f64 (.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (cos.f64 th))) (cbrt.f64 (cos.f64 th))) (cbrt.f64 (cos.f64 th)))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2) a2))
(.f64 (.f64 (cos.f64 th) (cbrt.f64 a2)) (.f64 (cbrt.f64 (.f64 a2 a2)) a2))
(.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) (cbrt.f64 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2)))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) (cbrt.f64 (.f64 a2 (*.f64 a2 (cos.f64 th)))))
(.f64 (.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 a2)) (cbrt.f64 (.f64 a2 a2)))
(.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 a2)))
(.f64 (.f64 a2 (*.f64 a2 (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (cos.f64 th))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 2)))
(.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 (cos.f64 th))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 (*.f64 a2 a2) (cbrt.f64 (cos.f64 th))))
(.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) a2) (.f64 (cos.f64 th) (cbrt.f64 a2)))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (cos.f64 th))) (cbrt.f64 (cos.f64 th))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 a2 (*.f64 a2 (cbrt.f64 (cos.f64 th)))))
(.f64 (.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2) a2) (cbrt.f64 (cos.f64 th)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 2)) (.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (cos.f64 th))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2)))
(.f64 (.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (cbrt.f64 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2))) (cbrt.f64 a2))
(.f64 (.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) a2))) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)) a2)) 2))
(.f64 (.f64 a2 a2) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) a2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) a2) (cbrt.f64 (.f64 a2 (cos.f64 th))))
(.f64 (.f64 (.f64 a2 (cbrt.f64 (.f64 a2 (cos.f64 th)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) 2) 2))
(.f64 (.f64 a2 (cbrt.f64 (.f64 a2 (cos.f64 th)))) (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) (.f64 a2 (cbrt.f64 (.f64 a2 (cos.f64 th)))))
(.f64 (.f64 a2 (cbrt.f64 (cos.f64 th))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2))
(.f64 (.f64 a2 (cbrt.f64 a2)) (.f64 (cbrt.f64 (.f64 a2 a2)) (cos.f64 th)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2) (*.f64 a2 (cbrt.f64 (cos.f64 th))))
(.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (cos.f64 th)) (.f64 a2 (cbrt.f64 a2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) 2) 2) (.f64 (.f64 a2 (cbrt.f64 (.f64 a2 (cos.f64 th)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) 2)))
(.f64 (cbrt.f64 (.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) 2) 2) a2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) 2) (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) 2) 2) a2) (cbrt.f64 (.f64 a2 (cos.f64 th)))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) a2)) (.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) a2)) 2) (cbrt.f64 (*.f64 a2 (cos.f64 th)))))
(.f64 2 (.f64 1/2 (.f64 a2 (.f64 a2 (cos.f64 th)))))
(.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2) 1/2)
(.f64 1 (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 1)
(.f64 (.f64 1/2 (.f64 a2 (.f64 a2 (cos.f64 th)))) 2)
(.f64 1/2 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2))
(.f64 1/2 (+.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (.f64 a2 (*.f64 a2 (cos.f64 th)))))
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2) (sqrt.f64 1/2)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2) -1) -2)
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2) (cbrt.f64 1/2)) (cbrt.f64 4))
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2) 1) 2)
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2) 2) 4)
(/.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2) 2)
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 1)
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2) (cbrt.f64 1/4)) (cbrt.f64 2))
(pow.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) 3)
(pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 1)
(neg.f64 (.f64 -2 (.f64 1/2 (.f64 a2 (.f64 a2 (cos.f64 th))))))
(neg.f64 (.f64 -1 (.f64 a2 (*.f64 a2 (cos.f64 th)))))
(neg.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2) -1/2))
(neg.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) -1))
(cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 3))

Outputs
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))))
(fma.f64 (neg.f64 (sqrt.f64 1/8)) (.f64 (.f64 th th) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 4))))))
(fma.f64 a2 (.f64 (sqrt.f64 1/2) a2) (fma.f64 (.f64 1/24 (sqrt.f64 1/2)) (.f64 (.f64 a2 a2) (pow.f64 th 4)) (.f64 (neg.f64 (sqrt.f64 1/8)) (.f64 (.f64 th th) (.f64 a2 a2)))))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (pow.f64 a2 2)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 4)))))))
(fma.f64 a2 (.f64 (sqrt.f64 1/2) a2) (fma.f64 (neg.f64 (sqrt.f64 1/8)) (.f64 (.f64 th th) (.f64 a2 a2)) (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (.f64 a2 a2))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (pow.f64 th 4)))))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2))))
(fma.f64 (.f64 -1/2 (.f64 a2 a2)) (.f64 th th) (.f64 a2 a2))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/24 (.f64 (pow.f64 a2 2) (pow.f64 th 4))) (.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2)))))
(fma.f64 a2 a2 (fma.f64 (.f64 1/24 (.f64 a2 a2)) (pow.f64 th 4) (.f64 (.f64 a2 a2) (.f64 (.f64 th th) -1/2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/24 (.f64 (pow.f64 a2 2) (pow.f64 th 4))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 th 6) (pow.f64 a2 2))) (.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2))))))
(fma.f64 a2 a2 (fma.f64 (.f64 (.f64 a2 a2) (pow.f64 th 4)) 1/24 (fma.f64 -1/720 (.f64 (pow.f64 th 6) (.f64 a2 a2)) (.f64 (.f64 a2 a2) (.f64 (.f64 th th) -1/2)))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(fma.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 1/2 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(fma.f64 1/2 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(if (!=.f64 (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) 3) (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))))))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 1/8 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) 2)) 0) (/.f64 (.f64 2 (pow.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/8)) (cos.f64 th)) 3)) (.f64 1/8 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) 2))) (.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2)))
(if (!=.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) 3) (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))))))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/8)) (cos.f64 th)) 0) (/.f64 (.f64 2 (pow.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/8)) (cos.f64 th)) 3)) (.f64 1/8 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) 2))) (.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2)))
(if (!=.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 0) (/.f64 1 (pow.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) -1)) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (.f64 a2 (cos.f64 th)) (.f64 (sqrt.f64 1/2) a2)) 0) (pow.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 (cos.f64 th)) a2)) -1) (.f64 (.f64 a2 (cos.f64 th)) (.f64 (sqrt.f64 1/2) a2)))
(if (!=.f64 1 0) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 1 0) (.f64 (.f64 a2 (cos.f64 th)) (.f64 (sqrt.f64 1/2) a2)) (.f64 (.f64 a2 (cos.f64 th)) (.f64 (sqrt.f64 1/2) a2)))
(if (!=.f64 (-.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))) 0) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))))) (-.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 0 0) 0 (.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2)))
(+.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 1/8) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(+.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) (.f64 1/2 a2)) (.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) (.f64 1/2 a2)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 1/2 (cos.f64 th))) (.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 1/2 (cos.f64 th))))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) a2) (.f64 1/2 (cos.f64 th))) (.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) a2) (.f64 1/2 (cos.f64 th))))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(+.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (.f64 1/2 (.f64 a2 a2))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (.f64 1/2 (.f64 a2 a2))))
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(.f64 (.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2) a2) (cbrt.f64 (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 (cbrt.f64 (cos.f64 th))) (cbrt.f64 (pow.f64 (cos.f64 th) 2))) a2)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 2)) (.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (cos.f64 th))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 2)) (.f64 (.f64 a2 a2) (cbrt.f64 (cos.f64 th)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2))
(.f64 (.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (cbrt.f64 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2))) (cbrt.f64 a2))
(.f64 (cbrt.f64 (.f64 (.f64 a2 (cos.f64 th)) (pow.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) 2))) (cbrt.f64 a2))
(.f64 (.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) a2))) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)) a2)) 2))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (.f64 a2 a2) (cos.f64 th))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) a2))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) a2) (cbrt.f64 (.f64 a2 (cos.f64 th))))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (.f64 (.f64 a2 (cbrt.f64 (.f64 a2 (cos.f64 th)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) 2) 2))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (.f64 a2 (cbrt.f64 (.f64 a2 (cos.f64 th)))) (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) (.f64 a2 (cbrt.f64 (.f64 a2 (cos.f64 th)))))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (.f64 a2 (cbrt.f64 (cos.f64 th))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2))
(.f64 (.f64 (*.f64 a2 (cbrt.f64 (cos.f64 th))) (cbrt.f64 (pow.f64 (cos.f64 th) 2))) a2)
(.f64 (.f64 a2 (cbrt.f64 a2)) (.f64 (cbrt.f64 (.f64 a2 a2)) (cos.f64 th)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2) (*.f64 a2 (cbrt.f64 (cos.f64 th))))
(.f64 (.f64 (*.f64 a2 (cbrt.f64 (cos.f64 th))) (cbrt.f64 (pow.f64 (cos.f64 th) 2))) a2)
(.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (cos.f64 th)) (.f64 a2 (cbrt.f64 a2)))
(.f64 (.f64 a2 (cbrt.f64 a2)) (.f64 (cbrt.f64 (.f64 a2 a2)) (cos.f64 th)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) 2) 2) (.f64 (.f64 a2 (cbrt.f64 (.f64 a2 (cos.f64 th)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) 2)))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (cbrt.f64 (.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) 2) 2) a2))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) 2) (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) 2) 2) a2) (cbrt.f64 (.f64 a2 (cos.f64 th)))))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) a2)) (.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) a2)) 2) (cbrt.f64 (*.f64 a2 (cos.f64 th)))))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 2 (.f64 1/2 (.f64 a2 (.f64 a2 (cos.f64 th)))))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2) 1/2)
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 1 (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 1)
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (.f64 1/2 (.f64 a2 (.f64 a2 (cos.f64 th)))) 2)
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 1/2 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 1/2 (+.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (.f64 a2 (*.f64 a2 (cos.f64 th)))))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2) (sqrt.f64 1/2)) (sqrt.f64 2))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2) -1) -2)
(.f64 (.f64 a2 (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2) (cbrt.f64 1/2)) (cbrt.f64 4))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2) 1) 2)
(.f64 (.f64 a2 (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2) 2) 4)
(.f64 (.f64 a2 (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2) 2)
(.f64 (.f64 a2 (cos.f64 th)) a2)
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 1)
(.f64 (.f64 a2 (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2) (cbrt.f64 1/4)) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (.f64 2 (cbrt.f64 1/4))) (cbrt.f64 2))
(pow.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 3) 1/3)
(.f64 (.f64 a2 (cos.f64 th)) a2)
(pow.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) 3)
(.f64 (.f64 a2 (cos.f64 th)) a2)
(pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 1)
(.f64 (.f64 a2 (cos.f64 th)) a2)
(neg.f64 (.f64 -2 (.f64 1/2 (.f64 a2 (.f64 a2 (cos.f64 th))))))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(neg.f64 (.f64 -1 (.f64 a2 (*.f64 a2 (cos.f64 th)))))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(neg.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2) -1/2))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(neg.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) -1))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 3))
(.f64 (.f64 a2 (cos.f64 th)) a2)

localize38.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(.f64 a2 (.f64 a2 (cos.f64 th)))
	0.1b	(*.f64 a2 (cos.f64 th))
✓	0.3b	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))

Compiler

Compiled 29 to 12 computations (58.6% saved)

series35.0ms (0.1%)

Counts

1 → 16

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	a2	@	inf	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
1.0ms	a2	@	0	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
0.0ms	th	@	0	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
0.0ms	a2	@	-inf	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
0.0ms	th	@	-inf	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))

Compiler

Compiled 1510 to 1135 computations (24.8% saved)

rewrite178.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

147× egg-rr

Counts

1 → 147

Calls

Call 1

Inputs
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))

Outputs

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(sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (cbrt.f64 (*.f64 1/2 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2)))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 (*.f64 a2 (cos.f64 th)) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2)) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (neg.f64 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2)))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (neg.f64 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 3))))))

simplify781.0ms (2.2%)

Algorithm

1×

egglog

Counts

163 → 177

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(if (!=.f64 (.f64 a2 (cos.f64 th)) 0) (/.f64 a2 (/.f64 (sqrt.f64 2) (.f64 a2 (cos.f64 th)))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (cos.f64 th) 0) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 a2 0) (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) 0) (/.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) a2) 0) (/.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) a2))) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 0) (/.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (cos.f64 th))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) 0) (/.f64 (.f64 a2 (cbrt.f64 (.f64 a2 (cos.f64 th)))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (.f64 a2 a2)) 0) (/.f64 (.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 a2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 a2 a2)))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) 0) (/.f64 (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 a2 (cos.f64 th))) 0) (/.f64 (cbrt.f64 a2) (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (cos.f64 th))) (cbrt.f64 (.f64 a2 a2)))) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 1 0) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (cos.f64 th) 0) (/.f64 (neg.f64 (.f64 a2 a2)) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) 0) (/.f64 (neg.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th))))) (/.f64 (neg.f64 (sqrt.f64 2)) (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th)) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 0) (/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (neg.f64 a2) (cos.f64 th)) 0) (/.f64 a2 (/.f64 (sqrt.f64 2) (.f64 a2 (cos.f64 th)))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (cos.f64 th)) 0) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th))) 2) 0) (/.f64 (cbrt.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th))) (/.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 (cbrt.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th))) 2))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 a2) 0) (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 a2 0) (/.f64 (.f64 (neg.f64 a2) (cos.f64 th)) (/.f64 (neg.f64 (sqrt.f64 2)) a2)) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2))) 0) (/.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(+.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 1/2) (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 1/2))
(+.f64 (.f64 1/2 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))) (.f64 1/2 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))))
(-.f64 0 (/.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2)))
(-.f64 (/.f64 0 (neg.f64 (sqrt.f64 2))) (/.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 (.f64 a2 (sqrt.f64 1/2)) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2))))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2))) (cbrt.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (sqrt.f64 1/2)))
(.f64 a2 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) (sqrt.f64 1/2)))
(.f64 (.f64 (neg.f64 (*.f64 a2 a2)) (cos.f64 th)) (/.f64 -1 (sqrt.f64 2)))
(.f64 (cbrt.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 8)))) (/.f64 (cbrt.f64 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2)) (sqrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (.f64 (cos.f64 th) (cbrt.f64 1/2)))
(.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))))
(.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 1/2)))
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (.f64 a2 (cbrt.f64 1/2)))
(.f64 (pow.f64 2 (neg.f64 1/4)) (/.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 1/2)))
(.f64 1 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 1)
(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
(.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 (neg.f64 (*.f64 a2 a2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) a2)
(.f64 (/.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 (neg.f64 1/4)))
(.f64 (.f64 a2 (cbrt.f64 1/2)) (.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (cos.f64 th) (cbrt.f64 1/2)) (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 1/2)) (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) (sqrt.f64 1/2)) (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (/.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 8)))))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th))))) (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a2 (cos.f64 th)))) (.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)) a2))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 (cbrt.f64 (.f64 a2 (cos.f64 th))))) (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 a2))) (cbrt.f64 (*.f64 a2 a2)))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 a2)) (.f64 (cbrt.f64 (.f64 a2 a2)) (*.f64 a2 (cos.f64 th))))
(.f64 (.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 2) 1/2)
(.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))))) (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2)))))
(.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2))) (cbrt.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))))) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) a2) (cos.f64 th))
(.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (cbrt.f64 a2)) (.f64 (cbrt.f64 (*.f64 a2 a2)) (cos.f64 th)))
(.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) 1) (.f64 a2 (cos.f64 th)))
(.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2))
(.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (.f64 a2 (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (cbrt.f64 (.f64 a2 (cos.f64 th)))) (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)))
(.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2))) (cbrt.f64 (*.f64 a2 (cos.f64 th))))
(.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (.f64 (cos.f64 th) (cbrt.f64 a2))) (cbrt.f64 (*.f64 a2 a2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)) a2) (sqrt.f64 1/2)))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 1/2)))
(.f64 (.f64 a2 (cbrt.f64 (.f64 a2 (cos.f64 th)))) (.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)) (sqrt.f64 1/2)))
(.f64 (.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 a2)) (.f64 (cbrt.f64 (*.f64 a2 a2)) (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) (.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) (sqrt.f64 1/2)))
(.f64 (cbrt.f64 a2) (.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(.f64 2 (.f64 1/2 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th))))) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2)) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 a2) (.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (.f64 (cbrt.f64 a2) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)))) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2)))))
(.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2)))))
(.f64 (cbrt.f64 a2) (.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (cos.f64 th)) (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2) (.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 a2 (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 a2 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) (.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 (cos.f64 th) (cbrt.f64 a2)) (.f64 (cbrt.f64 (.f64 a2 a2)) (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 -1 (/.f64 (.f64 (neg.f64 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2))) (cbrt.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th)))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th))) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))) (neg.f64 (cbrt.f64 2)))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th)) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) 2))
(/.f64 (.f64 (cbrt.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th))) (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2))) (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 2)))
(/.f64 (neg.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))
(/.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a2 (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) a2) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cos.f64 th)) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 8)))) (cbrt.f64 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) a2) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 1)
(/.f64 (.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (*.f64 a2 (cos.f64 th))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2))) (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th))))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (pow.f64 2 (neg.f64 1/4)) (.f64 a2 (*.f64 a2 (cos.f64 th)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) (.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 a2 (*.f64 a2 (cos.f64 th)))) (cbrt.f64 2))
(/.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 (*.f64 a2 (cos.f64 th)) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(/.f64 (.f64 (/.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) (/.f64 (cbrt.f64 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2)) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(/.f64 (/.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (neg.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2)))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(pow.f64 (cbrt.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 1)
(neg.f64 (/.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2)))
(neg.f64 (.f64 (/.f64 (.f64 (neg.f64 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2)) 1))
(cbrt.f64 (pow.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 3))

Outputs
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(fma.f64 1/24 (.f64 (.f64 (.f64 a2 a2) (pow.f64 th 4)) (sqrt.f64 1/2)) (/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))))
(+.f64 (/.f64 (+.f64 (.f64 -1/720 (.f64 (pow.f64 th 6) (.f64 a2 a2))) (.f64 1/24 (.f64 (.f64 a2 a2) (pow.f64 th 4)))) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(if (!=.f64 (.f64 a2 (cos.f64 th)) 0) (/.f64 a2 (/.f64 (sqrt.f64 2) (.f64 a2 (cos.f64 th)))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 (cos.f64 th)) 0) (/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2)) (.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2))
(if (!=.f64 (cos.f64 th) 0) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (cos.f64 th) 0) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2))
(if (!=.f64 a2 0) (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 a2 0) (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2))
(if (!=.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 0) (/.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1 a2) (.f64 a2 (cos.f64 th)))) (.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) 0) (/.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)))) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 2)) 0) (cbrt.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (/.f64 (sqrt.f64 8) (pow.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 2)))) (.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) a2) 0) (/.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) a2))) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) a2) 0) (/.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (/.f64 (/.f64 (sqrt.f64 2) a2) (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)))) (.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2))
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(.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (.f64 a2 (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (cbrt.f64 (.f64 a2 (cos.f64 th)))) (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2))) (cbrt.f64 (*.f64 a2 (cos.f64 th))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (.f64 (cos.f64 th) (cbrt.f64 a2))) (cbrt.f64 (*.f64 a2 a2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)) a2) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (.f64 a2 (cbrt.f64 (.f64 a2 (cos.f64 th)))) (.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 a2)) (.f64 (cbrt.f64 (*.f64 a2 a2)) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) (.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (cbrt.f64 a2) (.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 2 (.f64 1/2 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th))))) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2)) (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (cbrt.f64 a2) (.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (.f64 (cbrt.f64 a2) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)) (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)))) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2)))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2)))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (cbrt.f64 a2) (.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (cos.f64 th)) (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2) (.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (.f64 a2 (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) (.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 (.f64 (cos.f64 th) (cbrt.f64 a2)) (.f64 (cbrt.f64 (.f64 a2 a2)) (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 (cos.f64 th) (cbrt.f64 a2)) (.f64 (.f64 (cbrt.f64 (*.f64 a2 a2)) a2) (sqrt.f64 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(.f64 -1 (/.f64 (.f64 (neg.f64 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2))) (cbrt.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th)))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (cbrt.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th))) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))) (neg.f64 (cbrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th)) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (cbrt.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th))) (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2))) (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (neg.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2))) (cbrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 (*.f64 a2 (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) a2) (cbrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cos.f64 th)) (cbrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 8)))) (cbrt.f64 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (*.f64 (sqrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 (sqrt.f64 8)))))
(/.f64 (.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) a2) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 1)
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (*.f64 a2 (cos.f64 th))) (cbrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2))) (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th))))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (pow.f64 2 (neg.f64 1/4)) (.f64 a2 (*.f64 a2 (cos.f64 th)))) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) (.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 a2 (*.f64 a2 (cos.f64 th)))) (cbrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2)))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 a2 (.f64 (*.f64 a2 (cos.f64 th)) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (/.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) (/.f64 (cbrt.f64 (pow.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2)) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) a2) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (/.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (/.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(/.f64 (neg.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2)))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(pow.f64 (cbrt.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))) 3)
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(pow.f64 (pow.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 3) 1/3)
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(pow.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 1)
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(neg.f64 (/.f64 (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(neg.f64 (.f64 (/.f64 (.f64 (neg.f64 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2)) 1))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)
(cbrt.f64 (pow.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2)) 3))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)) a2)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 a2 a2) (cos.f64 th))
✓	0.3b	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
	1.0b	(/.f64 2 (sqrt.f64 1/2))
	1.0b	(cbrt.f64 (/.f64 2 (sqrt.f64 1/2)))

Compiler

Compiled 41 to 25 computations (39% saved)

series42.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a2	@	0	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
1.0ms	th	@	0	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
1.0ms	a2	@	inf	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
1.0ms	th	@	-inf	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
1.0ms	th	@	inf	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))

Compiler

Compiled 3600 to 2845 computations (21% saved)

rewrite172.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

180×	`egg-rr`
92×	`egg-rr`

Counts

2 → 272

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (cos.f64 th))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) 2) (/.f64 (cos.f64 th) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 (cos.f64 th)) 2) (/.f64 a2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th))) 2) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (*.f64 a2 a2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (*.f64 a2 a2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 a2 a2))) 2) (/.f64 (*.f64 a2 (cbrt.f64 a2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 a2 a2))) 1) (*.f64 a2 (cbrt.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a2) (*.f64 a2 (cos.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 a2) (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) 3))))))

simplify468.0ms (1.3%)

Algorithm

1×

egglog

Counts

304 → 401

Calls

Call 1

Inputs
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (pow.f64 a2 2) (*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (/.f64 (pow.f64 a2 2) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (/.f64 (pow.f64 a2 2) (*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (+.f64 (/.f64 (pow.f64 a2 2) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/24 (.f64 (pow.f64 a2 2) (pow.f64 th 4))) (.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2)))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/24 (.f64 (pow.f64 a2 2) (pow.f64 th 4))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 th 6) (pow.f64 a2 2))) (.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2))))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(if (!=.f64 (cos.f64 th) 0) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 (cos.f64 th)) 0) (/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2)) (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2)) 0) (/.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2)))) (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 0) (pow.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 a2) (cos.f64 th))) -1) (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (sqrt.f64 1/2)) 0) (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)) (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 0) (/.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (cos.f64 th))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))) (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 1 0) (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)) (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cos.f64 th)) 0) (/.f64 (cbrt.f64 (.f64 a2 a2)) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (.f64 a2 (cbrt.f64 a2)))) (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 a2 0) (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 a2 (cos.f64 th))) 0) (/.f64 (cbrt.f64 a2) (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 a2 (cos.f64 th))))) (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th))) 0) (/.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th))))) (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 a2 a2)) 0) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 a2 a2)))) (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 (cbrt.f64 a2)) 0) (/.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a2 a2))) (/.f64 (sqrt.f64 2) (.f64 a2 (cbrt.f64 a2)))) (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (.f64 (neg.f64 a2) (.f64 a2 (cos.f64 th)))) 2) 0) (/.f64 (cbrt.f64 (.f64 (neg.f64 a2) (.f64 a2 (cos.f64 th)))) (/.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 (cbrt.f64 (.f64 (neg.f64 a2) (.f64 a2 (cos.f64 th)))) 2))) (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (neg.f64 a2) (.f64 a2 (cos.f64 th))) 0) (pow.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 a2) (cos.f64 th))) -1) (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (neg.f64 a2) (cos.f64 th)) 0) (/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2)) (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2)) 0) (/.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th)))) (/.f64 (neg.f64 (sqrt.f64 2)) (cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2)))) (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (.f64 a2 a2)) 0) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (cos.f64 th)) 0) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2))) 0) (/.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2)))) (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 (neg.f64 (cos.f64 th)) (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a2 a2))) (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 (cos.f64 th)) 0) (/.f64 (neg.f64 a2) (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))) (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 0) (/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 (.f64 a2 a2) (cos.f64 th)))) (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (neg.f64 (sqrt.f64 1/2))) 0) (.f64 (/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (cbrt.f64 -2)) (cbrt.f64 (neg.f64 (sqrt.f64 1/2)))) (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (cbrt.f64 (sqrt.f64 1/2))) 0) (.f64 (/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (neg.f64 (cbrt.f64 2))) (neg.f64 (cbrt.f64 (sqrt.f64 1/2)))) (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(+.f64 (.f64 (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)) 1/2) (.f64 (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)) 1/2))
(+.f64 (.f64 1/2 (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))) (.f64 1/2 (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))))
(-.f64 0 (/.f64 (.f64 (neg.f64 a2) (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(-.f64 (/.f64 0 (neg.f64 (sqrt.f64 2))) (/.f64 (.f64 (neg.f64 a2) (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 a2 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)))
(.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 1/2)))
(.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (.f64 (cos.f64 th) (cbrt.f64 1/2)))
(.f64 (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))) (.f64 (.f64 a2 a2) (cbrt.f64 1/2)))
(.f64 (.f64 (.f64 a2 a2) (cbrt.f64 1/2)) (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 (/.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 (cos.f64 th))) (cbrt.f64 2)) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cbrt.f64 2)))
(.f64 (/.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 (cos.f64 th))) 1) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 a2 a2)) (cbrt.f64 2)) (/.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (cbrt.f64 (.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2))) (/.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cos.f64 th)) (cbrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cos.f64 th)) 1))
(.f64 (cbrt.f64 1/2) (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2)) (cbrt.f64 (sqrt.f64 2))) (/.f64 (cbrt.f64 (.f64 (*.f64 a2 a2) (cos.f64 th))) (cbrt.f64 2)))
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(pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))) 3)
(neg.f64 (/.f64 (.f64 (neg.f64 a2) (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(neg.f64 (.f64 (/.f64 (.f64 (neg.f64 a2) (*.f64 a2 (cos.f64 th))) (sqrt.f64 2)) 1))
(cbrt.f64 (pow.f64 (.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)) 3))
(if (!=.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 0) (/.f64 1 (/.f64 1 (.f64 (.f64 a2 a2) (cos.f64 th)))) (.f64 (.f64 a2 a2) (cos.f64 th)))
(if (!=.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 0) (/.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (cos.f64 th))) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 th) 2)))) (.f64 (.f64 a2 a2) (cos.f64 th)))
(if (!=.f64 1 0) (.f64 (.f64 a2 a2) (cos.f64 th)) (.f64 (.f64 a2 a2) (cos.f64 th)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2)) 0) (/.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th))) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2)))) (.f64 (.f64 a2 a2) (cos.f64 th)))
(if (!=.f64 (cos.f64 th) 0) (/.f64 (.f64 a2 a2) (/.f64 1 (cos.f64 th))) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(if (!=.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cos.f64 th)) 0) (/.f64 (cbrt.f64 (.f64 a2 a2)) (/.f64 1 (.f64 (.f64 a2 (cbrt.f64 a2)) (cos.f64 th)))) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(if (!=.f64 a2 0) (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 1 a2)) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(if (!=.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 a2 (cos.f64 th))) 0) (/.f64 (cbrt.f64 a2) (/.f64 1 (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 a2 (cos.f64 th))))) (.f64 (.f64 a2 a2) (cos.f64 th)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 (cos.f64 th) (/.f64 1 (.f64 a2 a2))) (.f64 (.f64 a2 a2) (cos.f64 th)))
(if (!=.f64 (.f64 a2 (cos.f64 th)) 0) (/.f64 a2 (/.f64 1 (.f64 a2 (cos.f64 th)))) (.f64 (.f64 a2 a2) (cos.f64 th)))
(if (!=.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th))) 0) (/.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2)) (/.f64 1 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th))))) (.f64 (.f64 a2 a2) (cos.f64 th)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 a2 a2)) 0) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 a2 a2)))) (.f64 (.f64 a2 a2) (cos.f64 th)))
(if (!=.f64 (.f64 a2 (cbrt.f64 a2)) 0) (/.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a2 a2))) (/.f64 1 (.f64 a2 (cbrt.f64 a2)))) (.f64 (.f64 a2 a2) (cos.f64 th)))
(+.f64 (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 1/2) (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 1/2))
(+.f64 (.f64 1/2 (.f64 (.f64 a2 a2) (cos.f64 th))) (.f64 1/2 (.f64 (.f64 a2 a2) (cos.f64 th))))
(-.f64 0 (.f64 (neg.f64 a2) (.f64 a2 (cos.f64 th))))
(.f64 (.f64 a2 a2) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th))) (cbrt.f64 (pow.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) 2)))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2)) (cbrt.f64 (.f64 (*.f64 a2 a2) (cos.f64 th))))
(.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 (cos.f64 th))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (*.f64 a2 a2)))
(.f64 (cbrt.f64 a2) (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 a2 (cos.f64 th))))
(.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (.f64 a2 (cbrt.f64 a2)) (cos.f64 th)))
(.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a2 a2))) (.f64 a2 (cbrt.f64 a2)))
(.f64 1 (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) 1)
(.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 (*.f64 a2 a2) (cbrt.f64 (cos.f64 th))))
(.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cos.f64 th)) (cbrt.f64 (.f64 a2 a2)))
(.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 a2 (cos.f64 th))) (cbrt.f64 a2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (*.f64 a2 a2)) (cbrt.f64 (cos.f64 th)))
(.f64 (.f64 a2 (cbrt.f64 a2)) (.f64 (cos.f64 th) (cbrt.f64 (.f64 a2 a2))))
(.f64 (.f64 a2 (*.f64 a2 (cbrt.f64 (cos.f64 th)))) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (.f64 a2 (cbrt.f64 (.f64 a2 (cos.f64 th)))) (pow.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) 2))
(.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a2 a2))) (cbrt.f64 (.f64 a2 a2))) (cbrt.f64 (.f64 a2 a2)))
(.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a2 a2))) (cbrt.f64 (.f64 a2 (cbrt.f64 a2)))) (pow.f64 (cbrt.f64 (.f64 a2 (cbrt.f64 a2))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2)) (cbrt.f64 a2)) (cbrt.f64 (*.f64 a2 (cos.f64 th))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2)) (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 a2 a2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 a2))) (.f64 (cbrt.f64 (.f64 a2 (cbrt.f64 a2))) (.f64 (.f64 a2 (cbrt.f64 a2)) (cos.f64 th))))
(.f64 (cbrt.f64 a2) (.f64 (cbrt.f64 a2) (.f64 (.f64 a2 (cbrt.f64 a2)) (cos.f64 th))))
(.f64 (.f64 a2 (cbrt.f64 (cos.f64 th))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) a2))
(.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (.f64 (pow.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) 2) a2))
(.f64 (cbrt.f64 (cbrt.f64 a2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 a2))) (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 a2 (cos.f64 th)))))
(.f64 (cbrt.f64 a2) (.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (cbrt.f64 (pow.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) 2))))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (.f64 a2 a2)) (cbrt.f64 (pow.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th)))) 2) (cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2))))
(.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (pow.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) 2))))
(.f64 (cbrt.f64 a2) (.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (*.f64 a2 (cos.f64 th))) 1))
(.f64 -1 (.f64 (neg.f64 a2) (*.f64 a2 (cos.f64 th))))
(.f64 (neg.f64 (neg.f64 (.f64 a2 a2))) (cos.f64 th))
(.f64 (neg.f64 (cos.f64 th)) (neg.f64 (.f64 a2 a2)))
(.f64 (neg.f64 (neg.f64 (cos.f64 th))) (.f64 a2 a2))
(.f64 (neg.f64 a2) (.f64 (neg.f64 a2) (cos.f64 th)))
(.f64 (neg.f64 (.f64 a2 a2)) (neg.f64 (cos.f64 th)))
(.f64 (neg.f64 (neg.f64 a2)) (.f64 a2 (cos.f64 th)))
(.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th)))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) 2))))
(.f64 (neg.f64 (cbrt.f64 (.f64 (neg.f64 a2) (.f64 a2 (cos.f64 th))))) (pow.f64 (cbrt.f64 (.f64 (neg.f64 a2) (*.f64 a2 (cos.f64 th)))) 2))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th))))) (cbrt.f64 (pow.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) 2)))
(.f64 (cos.f64 th) (neg.f64 (neg.f64 (.f64 a2 a2))))
(.f64 a2 (neg.f64 (.f64 (neg.f64 a2) (cos.f64 th))))
(.f64 (.f64 a2 a2) (neg.f64 (neg.f64 (cos.f64 th))))
(.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) 2)))))
(.f64 (cbrt.f64 (.f64 (neg.f64 a2) (.f64 a2 (cos.f64 th)))) (neg.f64 (pow.f64 (cbrt.f64 (.f64 (neg.f64 a2) (*.f64 a2 (cos.f64 th)))) 2)))
(.f64 (/.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 (cos.f64 th))) 2) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 1/2))
(.f64 (/.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 (cos.f64 th))) 1) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 a2 a2)) 2) (/.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cos.f64 th)) 1/2))
(.f64 (cbrt.f64 (.f64 a2 a2)) (/.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cos.f64 th)) 1))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2)) 2) (/.f64 (cbrt.f64 (.f64 (*.f64 a2 a2) (cos.f64 th))) 1/2))
(.f64 (/.f64 (cos.f64 th) 2) (/.f64 (.f64 a2 a2) 1/2))
(.f64 (/.f64 (cbrt.f64 a2) 2) (/.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 a2 (cos.f64 th))) 1/2))
(.f64 (cbrt.f64 a2) (/.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 a2 (cos.f64 th))) 1))
(.f64 (/.f64 a2 2) (/.f64 (.f64 a2 (cos.f64 th)) 1/2))
(.f64 (/.f64 (.f64 a2 a2) 2) (/.f64 (cos.f64 th) 1/2))
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) 2) (/.f64 a2 1/2))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th))) 2) (/.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) 2)) 1/2))
(.f64 (/.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (*.f64 a2 a2)) 1/2))
(.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (*.f64 a2 a2)) 1))
(.f64 (/.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a2 a2))) 2) (/.f64 (.f64 a2 (cbrt.f64 a2)) 1/2))
(.f64 (/.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a2 a2))) 1) (.f64 a2 (cbrt.f64 a2)))
(.f64 1/2 (/.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) 1/2))
(.f64 (/.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) 2) 2)
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 1)
(/.f64 (.f64 (neg.f64 a2) (.f64 a2 (cos.f64 th))) -1)
(/.f64 (/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th))) 3)
(pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 1)
(neg.f64 (.f64 (neg.f64 a2) (.f64 a2 (cos.f64 th))))
(cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 3))

Outputs
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))
(/.f64 (pow.f64 a2 2) (*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (.f64 a2 a2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (/.f64 (pow.f64 a2 2) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 a2 a2) (.f64 th th)) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))) (/.f64 (.f64 a2 a2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (/.f64 (pow.f64 a2 2) (*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 a2 a2) (.f64 th th)) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))) (fma.f64 1/24 (/.f64 (.f64 (.f64 a2 a2) (pow.f64 th 4)) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))) (/.f64 (.f64 a2 a2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))) (+.f64 (/.f64 (pow.f64 a2 2) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 a2 a2) (.f64 th th)) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))) (+.f64 (fma.f64 1/24 (/.f64 (.f64 (.f64 a2 a2) (pow.f64 th 4)) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))) (/.f64 (.f64 a2 a2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))) (/.f64 (.f64 (.f64 -1/720 (pow.f64 th 6)) (.f64 a2 a2)) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2)))))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (sqrt.f64 1/2)) 1/3)))
(/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (cbrt.f64 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 1/2))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(pow.f64 a2 2)
(*.f64 a2 a2)
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(.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a2 a2))) (.f64 a2 (cbrt.f64 a2)))
(.f64 1/2 (/.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) 1/2))
(/.f64 (.f64 (.f64 1/2 (*.f64 a2 a2)) (cos.f64 th)) 1/2)
(.f64 (/.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) 2) 2)
(/.f64 (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) 2) 2)
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 1)
(.f64 a2 (.f64 a2 (cos.f64 th)))
(/.f64 (.f64 (neg.f64 a2) (.f64 a2 (cos.f64 th))) -1)
(.f64 a2 (.f64 a2 (cos.f64 th)))
(/.f64 (/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 2) 1/2)
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (*.f64 1/2 2))
(pow.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 3) 1/3)
(.f64 a2 (.f64 a2 (cos.f64 th)))
(pow.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cos.f64 th))) 3)
(.f64 a2 (.f64 a2 (cos.f64 th)))
(pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 1)
(.f64 a2 (.f64 a2 (cos.f64 th)))
(neg.f64 (.f64 (neg.f64 a2) (.f64 a2 (cos.f64 th))))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) 3))
(.f64 a2 (.f64 a2 (cos.f64 th)))

eval1.1s (3.1%)

Compiler: Compiled 43235 to 22695 computations (47.5% saved)

prune686.0ms (1.9%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	2027	12	2039
Fresh	6	6	12
Picked	1	0	1
Done	0	6	6
Total	2034	24	2058

Error

Counts

2058 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	28.2b	(if (!=.f64 a2 0) (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2))
▶	24.2b	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
	44.7b	(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
	38.0b	(/.f64 (.f64 (.f64 (cbrt.f64 1/2) a1) a1) (cbrt.f64 (sqrt.f64 2)))
	28.2b	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (pow.f64 1/8 -1/6))
▶	26.1b	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
	26.5b	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
	38.0b	(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
✓	28.2b	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
▶	40.2b	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	38.0b	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	38.0b	(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
✓	0.4b	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
	28.2b	(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
	28.2b	(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
✓	28.1b	(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
	40.2b	(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
	26.1b	(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
	38.0b	(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
✓	28.2b	(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
▶	40.2b	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
✓	26.1b	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
✓	38.0b	(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
▶	26.1b	(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))

Compiler

Compiled 524 to 393 computations (25% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series19.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a2	@	0	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
0.0ms	a1	@	inf	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
0.0ms	a2	@	inf	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
0.0ms	a1	@	0	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
0.0ms	a2	@	-inf	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))

Compiler

Compiled 1530 to 1320 computations (13.7% saved)

rewrite265.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

200× egg-rr

Counts

1 → 200

Calls

Call 1

Inputs
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a2 a2) (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)) (*.f64 1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/2) (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 a1) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)) 0) (cbrt.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 8) (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (neg.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2))) 0) (cbrt.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 8) (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) 0) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8) (fma.f64 a2 a2 (*.f64 a1 a1))))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2) 1/2)) 0) (cbrt.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 8) (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2)))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 2 0) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/8)) 2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 0) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))) 0) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)))) (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))) (*.f64 1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))) 0) (/.f64 (-.f64 (*.f64 (*.f64 1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))) (*.f64 1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))) (*.f64 (*.f64 1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))) (*.f64 1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))))) (-.f64 (*.f64 1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))) (*.f64 1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 0) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) (-.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 0) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (/.f64 0 (sqrt.f64 2)) (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))) 0) (/.f64 (-.f64 (*.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2))) (*.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2) 1/2)) (+.f64 (/.f64 0 (sqrt.f64 2)) (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))) 0) (/.f64 (-.f64 0 (*.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2) 1/2)) (+.f64 0 (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3)) (+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3) (pow.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)))))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))) (pow.f64 2 1/8))) (neg.f64 (pow.f64 2 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 3) (*.f64 2 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 3) (sqrt.f64 (pow.f64 8 5/6)))) (pow.f64 2 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 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a2 (*.f64 a1 a1)) (sqrt.f64 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2 (*.f64 1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))) (/.f64 0 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)) 3))))))

simplify446.0ms (1.2%)

Algorithm

1×

egglog

Counts

208 → 284

Calls

Call 1

Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(fma.f64 (.f64 a2 a2) (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (sqrt.f64 1/2)))
(fma.f64 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) (.f64 1/2 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))))
(fma.f64 (sqrt.f64 1/2) (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (.f64 a1 a1) (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 0 0 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(fma.f64 0 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(fma.f64 0 3 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(fma.f64 0 1 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(fma.f64 1 0 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) 0) (cbrt.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 8) (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (neg.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2))) 0) (cbrt.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 8) (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
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(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (sqrt.f64 1/2))))
(.f64 -1 (neg.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) 2) 1/2)
(.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (neg.f64 (sqrt.f64 1/2)))
(.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))))
(.f64 1/2 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) 2))
(.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))) -1)
(.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))) (pow.f64 2 1/12)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2))) (cbrt.f64 1/2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) 3))))
(.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 (sqrt.f64 1/2)))
(.f64 2 (.f64 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))))
(.f64 1 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)) 1)
(.f64 (.f64 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) 2)
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 -1/2)) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1)))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 -2))
(/.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))) (pow.f64 2 1/8)) (pow.f64 2 1/8))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))) (pow.f64 2 1/12)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (cbrt.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 1/2 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))) 1/2)
(/.f64 (/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) 1) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 16 1/3))))
(/.f64 (/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 2)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 1/2) (sqrt.f64 1/2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (-.f64 0 (.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))))) -2)
(/.f64 (-.f64 (.f64 0 (sqrt.f64 (sqrt.f64 2))) (.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1)))))) (neg.f64 (sqrt.f64 (sqrt.f64 8))))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 -2)) (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))))) (*.f64 (neg.f64 (sqrt.f64 2)) (cbrt.f64 -2)))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 2)) (.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2)))))) (neg.f64 (pow.f64 2 5/6)))
(/.f64 (-.f64 (.f64 0 (neg.f64 (sqrt.f64 (sqrt.f64 2)))) (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))))) (*.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 (sqrt.f64 2)))))
(/.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))) (pow.f64 2 1/12))) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) -1)
(/.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))) (cbrt.f64 -2))
(/.f64 (neg.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1)))) (cbrt.f64 -2))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2)))) (neg.f64 (cbrt.f64 (cbrt.f64 4))))
(/.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))) (pow.f64 2 1/8))) (neg.f64 (pow.f64 2 1/8)))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 3) (.f64 2 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 2)))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 3) (sqrt.f64 (pow.f64 8 5/6)))) (pow.f64 2 1/12))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2))) (cbrt.f64 2))
(/.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) 1)
(/.f64 (.f64 (cbrt.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))) (cbrt.f64 (neg.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))) (cbrt.f64 2))
(/.f64 (.f64 (neg.f64 (cbrt.f64 (sqrt.f64 1/2))) (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)) 2) 2)
(/.f64 (-.f64 (.f64 0 (neg.f64 (sqrt.f64 2))) (.f64 (neg.f64 (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 (sqrt.f64 2)))
(pow.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) 3)
(pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) 1)
(neg.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))))
(neg.f64 (.f64 -2 (.f64 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))))
(neg.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)) -1))
(neg.f64 (.f64 (sqrt.f64 1/2) (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1)))))
(neg.f64 (.f64 (neg.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))))
(neg.f64 (.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) 2) -1/2))
(neg.f64 (-.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) (/.f64 0 (sqrt.f64 2))))
(neg.f64 (-.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) 0))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) 3))

Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(fma.f64 (.f64 a2 a2) (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (sqrt.f64 1/2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(fma.f64 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) (.f64 1/2 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))))
(.f64 2 (.f64 (sqrt.f64 1/2) (.f64 1/2 (fma.f64 a2 a2 (.f64 a1 a1)))))
(fma.f64 (sqrt.f64 1/2) (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(fma.f64 (.f64 a1 a1) (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(fma.f64 0 0 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(fma.f64 0 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(fma.f64 0 3 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(fma.f64 0 1 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(fma.f64 1 0 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(if (!=.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) 0) (cbrt.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 8) (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (neg.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2))) 0) (cbrt.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 8) (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) 0) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8) (fma.f64 a2 a2 (.f64 a1 a1))))) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) 0) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2) (/.f64 (sqrt.f64 8) (fma.f64 a2 a2 (.f64 a1 a1))))) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 1 0) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2) 1/2)) 0) (cbrt.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 8) (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 2 0) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/8)) 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 (-.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) 0) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))) (-.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 2) (pow.f64 (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 (-.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (sqrt.f64 1/2))) 0) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (.f64 (.f64 a1 a1) (sqrt.f64 1/2)))) (-.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (sqrt.f64 1/2)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 2) (pow.f64 (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 (-.f64 (.f64 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) (.f64 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))) 0) (/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) (.f64 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))) (.f64 (.f64 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) (.f64 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))))) (-.f64 (.f64 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) (.f64 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 0 0) (/.f64 0 0) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(if (!=.f64 (-.f64 (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) 0) (/.f64 (-.f64 (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (.f64 (.f64 a1 a1) (sqrt.f64 1/2))) (.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
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(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2) (sqrt.f64 1/2))) (cbrt.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 1/2)))
(cbrt.f64 (.f64 (.f64 1/2 (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 1/2)) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (sqrt.f64 1/2)) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/8))) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))
(cbrt.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/8)) (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)) (sqrt.f64 1/2))))
(.f64 -1 (neg.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) 2) 1/2)
(.f64 2 (.f64 (sqrt.f64 1/2) (.f64 1/2 (fma.f64 a2 a2 (.f64 a1 a1)))))
(.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (neg.f64 (sqrt.f64 1/2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(.f64 1/2 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) 2))
(.f64 2 (.f64 (sqrt.f64 1/2) (.f64 1/2 (fma.f64 a2 a2 (.f64 a1 a1)))))
(.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))) -1)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))) (pow.f64 2 1/12)) (cbrt.f64 (sqrt.f64 1/2)))
(/.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))) (cbrt.f64 (sqrt.f64 1/2))) (pow.f64 2 1/12))
(.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2))) (cbrt.f64 1/2))
(cbrt.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) (.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 2) 1/2)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))) (cbrt.f64 1/2))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) 3))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))))
(.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 (sqrt.f64 1/2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(.f64 2 (.f64 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))))
(.f64 2 (.f64 (sqrt.f64 1/2) (.f64 1/2 (fma.f64 a2 a2 (.f64 a1 a1)))))
(.f64 1 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)) 1)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(.f64 (.f64 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) 2)
(.f64 2 (.f64 (sqrt.f64 1/2) (.f64 1/2 (fma.f64 a2 a2 (.f64 a1 a1)))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 -1/2)) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1)))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 -2))
(neg.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 -2)))
(/.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))) (pow.f64 2 1/8)) (pow.f64 2 1/8))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))) (pow.f64 2 1/12)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (cbrt.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 1/2 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2))) 1/2)
(/.f64 (.f64 (sqrt.f64 1/2) (.f64 1/2 (fma.f64 a2 a2 (*.f64 a1 a1)))) 1/2)
(/.f64 (/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) 1) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 16 1/3))))
(/.f64 (/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 4)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 16))))
(/.f64 (/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 2)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 1/2) (sqrt.f64 1/2))
(/.f64 (.f64 1/2 (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 1/2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (-.f64 0 (.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))))) -2)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)))))) -2)
(/.f64 (-.f64 (.f64 0 (sqrt.f64 (sqrt.f64 2))) (.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1)))))) (neg.f64 (sqrt.f64 (sqrt.f64 8))))
(/.f64 (+.f64 0 (.f64 (sqrt.f64 2) (neg.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))))) (neg.f64 (sqrt.f64 (sqrt.f64 8))))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 -2)) (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))))) (*.f64 (neg.f64 (sqrt.f64 2)) (cbrt.f64 -2)))
(/.f64 (+.f64 0 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))))) (neg.f64 (.f64 (sqrt.f64 2) (cbrt.f64 -2))))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 2)) (.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2)))))) (neg.f64 (pow.f64 2 5/6)))
(/.f64 (+.f64 0 (.f64 (sqrt.f64 2) (neg.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2)))))) (neg.f64 (pow.f64 2 5/6)))
(/.f64 (-.f64 (.f64 0 (neg.f64 (sqrt.f64 (sqrt.f64 2)))) (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))))) (*.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 (sqrt.f64 2)))))
(/.f64 (+.f64 0 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))))) (.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 (sqrt.f64 2)))))
(/.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))) (pow.f64 2 1/12))) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))) (pow.f64 2 1/12)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) -1)
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) (neg.f64 -1))
(/.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))) (cbrt.f64 -2))
(neg.f64 (/.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2))) (cbrt.f64 -2)))
(/.f64 (neg.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1)))) (cbrt.f64 -2))
(neg.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 -2)))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2)))) (neg.f64 (cbrt.f64 (cbrt.f64 4))))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))) (pow.f64 2 1/8))) (neg.f64 (pow.f64 2 1/8)))
(/.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))) (pow.f64 2 1/8)) (pow.f64 2 1/8))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 3) (.f64 2 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 2)))
(/.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (.f64 2 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 2)))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 3) (sqrt.f64 (pow.f64 8 5/6)))) (pow.f64 2 1/12))
(/.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 (pow.f64 8 5/6)))) (pow.f64 2 1/12))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))) (cbrt.f64 2))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2))) (cbrt.f64 2))
(/.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) (neg.f64 (sqrt.f64 2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) 1)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))) (cbrt.f64 (neg.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) (neg.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) 2)))) (cbrt.f64 2))
(/.f64 (.f64 (neg.f64 (cbrt.f64 (sqrt.f64 1/2))) (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) (cbrt.f64 2))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 1/2))))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)) 2) 2)
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) 2)) 2)
(/.f64 (-.f64 (.f64 0 (neg.f64 (sqrt.f64 2))) (.f64 (neg.f64 (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))) 2)
(/.f64 (+.f64 0 (.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 (sqrt.f64 2)))
(pow.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) 3) 1/3)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) 3)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) 1)
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(neg.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(neg.f64 (.f64 -2 (.f64 1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))))
(.f64 (neg.f64 -2) (.f64 (sqrt.f64 1/2) (.f64 1/2 (fma.f64 a2 a2 (.f64 a1 a1)))))
(neg.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 1/2)) -1))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(neg.f64 (.f64 (sqrt.f64 1/2) (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(neg.f64 (.f64 (neg.f64 (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(neg.f64 (.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) 2) -1/2))
(.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) 2)) (neg.f64 -1/2))
(neg.f64 (-.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) (/.f64 0 (sqrt.f64 2))))
(+.f64 (/.f64 0 (sqrt.f64 2)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)))
(neg.f64 (-.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))) 0))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2)) 3))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 1/2))

localize12.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series20.0ms (0.1%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	a2	@	0	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
1.0ms	a2	@	inf	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
0.0ms	a2	@	-inf	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))

Compiler

Compiled 460 to 400 computations (13% saved)

rewrite145.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

130× egg-rr

Counts

1 → 130

Calls

Call 1

Inputs
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))

Outputs

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(cbrt.f64 (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2)))) (cbrt.f64 (*.f64 1/2 (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (cbrt.f64 a2)) 2)) (*.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 a2 a2))) (cbrt.f64 (*.f64 a2 (cbrt.f64 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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#<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 1/2) (*.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) 2) (sqrt.f64 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 a2 a2)) (sqrt.f64 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 a2 a2) 3) (sqrt.f64 1/8)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (sqrt.f64 (sqrt.f64 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2 (*.f64 (sqrt.f64 1/8) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a2 a2) 3) (sqrt.f64 1/8)))))))

simplify783.0ms (2.2%)

Algorithm

1×

egglog

Counts

134 → 153

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(fma.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 1/2 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)))
(fma.f64 1/2 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2)))
(if (!=.f64 (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) 3) (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2)))))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) 3) (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2)))))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 (sqrt.f64 (sqrt.f64 1/2))) 0) (/.f64 1 (pow.f64 (.f64 a2 (sqrt.f64 (sqrt.f64 1/2))) -2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 0) (/.f64 1 (pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) -1)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (-.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) 0) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2)))) (-.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2)))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 1 0) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) 1/2)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) 1/2)))
(+.f64 (.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 2) 1/4) (.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 2) 1/4))
(+.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (.f64 1/2 a2)) (.f64 (.f64 a2 (sqrt.f64 1/2)) (.f64 1/2 a2)))
(+.f64 (.f64 (.f64 1/2 (.f64 a2 a2)) (sqrt.f64 1/2)) (.f64 (.f64 1/2 (.f64 a2 a2)) (sqrt.f64 1/2)))
(+.f64 (.f64 1/4 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 2)) (.f64 1/4 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 2)))
(+.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2)))
(+.f64 (.f64 (.f64 1/2 a2) (.f64 a2 (sqrt.f64 1/2))) (.f64 (.f64 1/2 a2) (.f64 a2 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (cbrt.f64 a2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 a2))) (.f64 a2 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a2 a2))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 a2))) (.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/8))) (.f64 a2 (cbrt.f64 a2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))) (.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))))
(.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 1/2) a2))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 a2))) (.f64 a2 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a2 a2))))) (cbrt.f64 (cbrt.f64 a2)))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/8))) (.f64 a2 (cbrt.f64 a2))) (cbrt.f64 (cbrt.f64 (.f64 a2 a2))))
(.f64 (.f64 (cbrt.f64 1/2) a2) (*.f64 a2 (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (.f64 a2 (sqrt.f64 1/2)))))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) 2) (.f64 (cbrt.f64 1/16) (.f64 a2 (cbrt.f64 a2))))
(.f64 (cbrt.f64 (.f64 a2 (cbrt.f64 a2))) (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cbrt.f64 a2)) 2)) (sqrt.f64 1/2)) (cbrt.f64 (.f64 a2 a2))))
(.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/8)))))
(.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/8)))) (.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/8)))) (cbrt.f64 (*.f64 a2 a2))))
(.f64 (.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2)))) (.f64 (*.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2)))))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) (cbrt.f64 (.f64 a2 (sqrt.f64 (sqrt.f64 1/2))))) (.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) (cbrt.f64 (*.f64 a2 (sqrt.f64 (sqrt.f64 1/2))))))
(.f64 (cbrt.f64 a2) (.f64 a2 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a2 a2)))))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 a2 a2) 2) 1/2) (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2)))))
(.f64 (.f64 a2 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 a2 (sqrt.f64 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 (pow.f64 (.f64 a2 a2) 2) 1/2))))
(.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2)) (cbrt.f64 (.f64 a2 a2)))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 a2 a2) 2) 1/2) (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a2 a2))))) (cbrt.f64 (*.f64 a2 (cbrt.f64 a2))))
(.f64 (cbrt.f64 (cbrt.f64 a2)) (cbrt.f64 (.f64 (.f64 a2 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a2 a2)))) (.f64 (pow.f64 (*.f64 a2 a2) 2) 1/2))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a2 a2)))) (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (.f64 (pow.f64 (*.f64 a2 a2) 2) 1/2))))
(.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) (.f64 (*.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) (cbrt.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(.f64 (.f64 (cbrt.f64 (.f64 1/2 (.f64 a2 a2))) a2) (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 a2 (sqrt.f64 1/2))) (.f64 (cbrt.f64 (.f64 1/2 (*.f64 a2 a2))) a2))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)))
(.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2)))
(.f64 (.f64 a2 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a2 a2)))) (cbrt.f64 a2))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 a2)) (.f64 (cbrt.f64 (.f64 a2 a2)) a2))
(.f64 (.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))))) (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))))
(.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))) (pow.f64 1/2 1/8)) (pow.f64 1/2 1/8))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2)))))
(.f64 (pow.f64 1/2 1/8) (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))) (pow.f64 1/2 1/8)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 (cbrt.f64 1/2)) (.f64 (cbrt.f64 1/2) (.f64 a2 a2))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 1/2) (.f64 a2 a2))))
(.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 1/2) (.f64 a2 a2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 1/2)) (.f64 (cbrt.f64 1/2) (.f64 a2 a2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) a2) (.f64 (sqrt.f64 1/2) (cbrt.f64 a2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) 2)) (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (.f64 (cbrt.f64 1/2) (.f64 (.f64 a2 a2) (sqrt.f64 1/2))))))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)))) (cbrt.f64 (pow.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) 2)))
(.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2))) (.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2))) 2) (cbrt.f64 (*.f64 a2 a2))))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 a2 a2) 2) 1/2) a2)) (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 a2 a2) 2) 1/2) (cbrt.f64 a2))) (cbrt.f64 (.f64 a2 (.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 a2 a2))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 1/2) (.f64 a2 a2)) (.f64 (pow.f64 (.f64 a2 a2) 2) 1/2))))
(.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) (.f64 (pow.f64 (.f64 a2 a2) 2) 1/2))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 a2 a2) 2) 1/2) (.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))))))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 a2 a2) 2) 1/2) (.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (.f64 (cbrt.f64 1/2) (.f64 (pow.f64 (.f64 a2 a2) 2) 1/2))))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 a2 a2) 2) 1/2) (cbrt.f64 (.f64 a2 a2)))) (cbrt.f64 (.f64 (*.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 a2 (sqrt.f64 1/2))) (cbrt.f64 (.f64 a2 (.f64 (pow.f64 (*.f64 a2 a2) 2) 1/2))))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 a2 a2) 2) 1/2) (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (.f64 (cbrt.f64 1/2) (.f64 a2 a2))))
(.f64 (cbrt.f64 (.f64 a2 (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (.f64 (.f64 a2 (sqrt.f64 (sqrt.f64 1/2))) (.f64 (pow.f64 (.f64 a2 a2) 2) 1/2))))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 a2 a2) 2) 1/2) (.f64 a2 (sqrt.f64 (sqrt.f64 1/2))))) (cbrt.f64 (.f64 a2 (sqrt.f64 (sqrt.f64 1/2)))))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a2 a2))) (.f64 a2 (cbrt.f64 a2)))
(.f64 (.f64 a2 (cbrt.f64 a2)) (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a2 a2))))
(.f64 (.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/4)))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a2 a2))) (cbrt.f64 (.f64 a2 (cbrt.f64 a2)))) (cbrt.f64 (pow.f64 (.f64 a2 (cbrt.f64 a2)) 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cbrt.f64 1/2) (*.f64 a2 a2)))
(.f64 (cbrt.f64 1/2) (.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (cbrt.f64 1/2) (*.f64 a2 a2)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 a2 (cbrt.f64 (.f64 a2 (sqrt.f64 1/2)))) (cbrt.f64 (.f64 1/2 (*.f64 a2 a2))))
(.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 2) 1/2)
(.f64 1 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 1)
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cbrt.f64 a2)) 2)) (.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a2 a2))) (cbrt.f64 (.f64 a2 (cbrt.f64 a2)))))
(.f64 1/2 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 2))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 a2 a2))) (.f64 a2 (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2)))))
(.f64 (cbrt.f64 (cbrt.f64 1/4)) (.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) (*.f64 a2 (cbrt.f64 a2))) (cbrt.f64 1/2))
(.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (.f64 1/2 (*.f64 a2 a2))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 a2 a2))) (.f64 (*.f64 a2 (cbrt.f64 a2)) (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 1/2)) (cbrt.f64 (*.f64 a2 a2))) 3))
(.f64 8 (pow.f64 (.f64 1/2 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))) 3))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 a2 a2) 2) 1/2) (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 a2 a2) 3) (sqrt.f64 1/8)))))
(.f64 2 (.f64 (sqrt.f64 1/8) (*.f64 a2 a2)))
(.f64 (.f64 (sqrt.f64 1/8) (*.f64 a2 a2)) 2)
(.f64 2 (.f64 (.f64 (cbrt.f64 1/16) (.f64 a2 (cbrt.f64 a2))) (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) -1) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) -2) -2)
(/.f64 (.f64 -1 (.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 -2 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2))) -2)
(/.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 1/2) (.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) 2) (sqrt.f64 8))
(/.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 1)
(/.f64 (.f64 2 (.f64 a2 a2)) (sqrt.f64 8))
(/.f64 (.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 2) 2)
(pow.f64 (.f64 (pow.f64 (.f64 a2 a2) 3) (sqrt.f64 1/8)) 1/3)
(pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) 3)
(pow.f64 (*.f64 a2 (sqrt.f64 (sqrt.f64 1/2))) 2)
(neg.f64 (.f64 -2 (.f64 (sqrt.f64 1/8) (*.f64 a2 a2))))
(neg.f64 (.f64 -1 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))
(neg.f64 (.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 2) -1/2))
(neg.f64 (.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) -1))
(cbrt.f64 (.f64 (pow.f64 (.f64 a2 a2) 3) (sqrt.f64 1/8)))

Outputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(fma.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 1/2 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(fma.f64 1/2 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2)))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(if (!=.f64 (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) 3) (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2)))))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 1/8 (pow.f64 (.f64 a2 a2) 2)) 0) (pow.f64 (/.f64 (.f64 (cbrt.f64 2) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) (.f64 1/2 (.f64 a2 (cbrt.f64 a2)))) 3) (.f64 (*.f64 a2 (sqrt.f64 1/2)) a2))
(if (!=.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) 3) (pow.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2)))))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) 0) (pow.f64 (/.f64 (.f64 (cbrt.f64 2) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) (.f64 1/2 (.f64 a2 (cbrt.f64 a2)))) 3) (.f64 (*.f64 a2 (sqrt.f64 1/2)) a2))
(if (!=.f64 (.f64 a2 (sqrt.f64 (sqrt.f64 1/2))) 0) (/.f64 1 (pow.f64 (.f64 a2 (sqrt.f64 (sqrt.f64 1/2))) -2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 (sqrt.f64 (sqrt.f64 1/2))) 0) (pow.f64 (pow.f64 (.f64 a2 (sqrt.f64 (sqrt.f64 1/2))) -2) -1) (.f64 (.f64 a2 (sqrt.f64 1/2)) a2))
(if (!=.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 0) (/.f64 1 (pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) -1)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) a2) 0) (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) -1) (.f64 (*.f64 a2 (sqrt.f64 1/2)) a2))
(if (!=.f64 (-.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) 0) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2)))) (-.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2)))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 0 0) 0 (.f64 (.f64 a2 (sqrt.f64 1/2)) a2))
(if (!=.f64 1 0) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 1 0) (.f64 (.f64 a2 (sqrt.f64 1/2)) a2) (.f64 (.f64 a2 (sqrt.f64 1/2)) a2))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) 1/2)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) 1/2)))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(+.f64 (.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 2) 1/4) (.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 2) 1/4))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(+.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (.f64 1/2 a2)) (.f64 (.f64 a2 (sqrt.f64 1/2)) (.f64 1/2 a2)))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(+.f64 (.f64 (.f64 1/2 (.f64 a2 a2)) (sqrt.f64 1/2)) (.f64 (.f64 1/2 (.f64 a2 a2)) (sqrt.f64 1/2)))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(+.f64 (.f64 1/4 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 2)) (.f64 1/4 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 2)))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(+.f64 (.f64 (sqrt.f64 1/8) (.f64 a2 a2)) (.f64 (sqrt.f64 1/8) (.f64 a2 a2)))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(+.f64 (.f64 (.f64 1/2 a2) (.f64 a2 (sqrt.f64 1/2))) (.f64 (.f64 1/2 a2) (.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(.f64 (cbrt.f64 (cbrt.f64 a2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 a2))) (.f64 a2 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a2 a2))))))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 a2))) (.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/8))) (.f64 a2 (cbrt.f64 a2))))
(.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/8))) (.f64 a2 (cbrt.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) a2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))) (.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 1/2) a2))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 a2))) (.f64 a2 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a2 a2))))) (cbrt.f64 (cbrt.f64 a2)))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/8))) (.f64 a2 (cbrt.f64 a2))) (cbrt.f64 (cbrt.f64 (.f64 a2 a2))))
(.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/8))) (.f64 a2 (cbrt.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) a2))))
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(.f64 (cbrt.f64 2) (.f64 (.f64 (cbrt.f64 1/2) (.f64 a2 a2)) (sqrt.f64 1/2)))
(.f64 2 (.f64 (sqrt.f64 1/8) (*.f64 a2 a2)))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(.f64 (.f64 (sqrt.f64 1/8) (*.f64 a2 a2)) 2)
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(.f64 2 (.f64 (.f64 (cbrt.f64 1/16) (.f64 a2 (cbrt.f64 a2))) (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))))
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) a2) 8)) (.f64 (cbrt.f64 1/16) (.f64 a2 (cbrt.f64 a2))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(/.f64 (.f64 (.f64 a2 a2) -1) (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(/.f64 (.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) -2) -2)
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(/.f64 (.f64 -1 (.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(/.f64 (.f64 -2 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2))) -2)
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(/.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 1/2) (.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(/.f64 (.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (sqrt.f64 1/2)))
(/.f64 (neg.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(/.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(/.f64 (.f64 (.f64 a2 a2) 2) (sqrt.f64 8))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(/.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 1)
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(/.f64 (.f64 2 (.f64 a2 a2)) (sqrt.f64 8))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(/.f64 (.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 2) 2)
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(pow.f64 (.f64 (pow.f64 (.f64 a2 a2) 3) (sqrt.f64 1/8)) 1/3)
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 1)
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(pow.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) 3)
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(pow.f64 (*.f64 a2 (sqrt.f64 (sqrt.f64 1/2))) 2)
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(neg.f64 (.f64 -2 (.f64 (sqrt.f64 1/8) (*.f64 a2 a2))))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(neg.f64 (.f64 -1 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(neg.f64 (.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 2) -1/2))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(neg.f64 (.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) -1))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(cbrt.f64 (.f64 (pow.f64 (.f64 a2 a2) 3) (sqrt.f64 1/8)))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)

localize13.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series13.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	a2	@	0	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
1.0ms	a2	@	inf	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
0.0ms	a2	@	-inf	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))

Compiler

Compiled 460 to 400 computations (13% saved)

rewrite113.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

108× egg-rr

Counts

1 → 108

Calls

Call 1

Inputs
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))

Outputs

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(*.f64 a2 a2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (*.f64 a2 a2))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (*.f64 a2 a2))) (/.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 (cbrt.f64 (neg.f64 (*.f64 a2 a2))) 2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (*.f64 a2 a2)) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a2 (cbrt.f64 a2)) 0) (/.f64 (cbrt.f64 (neg.f64 (*.f64 a2 a2))) (/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 a2 (cbrt.f64 a2)))) (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 a2) 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (*.f64 a2 (cbrt.f64 a2))) 0) (/.f64 (cbrt.f64 (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (*.f64 a2 (cbrt.f64 a2)))) (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (*.f64 a2 a2) (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/4) (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 (cbrt.f64 a2)) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (cbrt.f64 1/2)) (*.f64 a2 (cbrt.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2)) (cbrt.f64 (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cbrt.f64 (*.f64 a2 a2))) (cbrt.f64 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cbrt.f64 a2)) (cbrt.f64 (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (*.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) (cbrt.f64 (*.f64 a2 a2))) (cbrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))) (cbrt.f64 (*.f64 (*.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 a2 a2))) (*.f64 a2 (cbrt.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 a2)) (*.f64 (cbrt.f64 (*.f64 a2 a2)) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 8)))) (*.f64 (/.f64 (*.f64 a2 (cbrt.f64 a2)) (sqrt.f64 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 a2 (cbrt.f64 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/4) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a2 a2)) (*.f64 (*.f64 (*.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) (*.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a2 a2)) (*.f64 (cbrt.f64 a2) (*.f64 a2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a2) (*.f64 (cbrt.f64 (*.f64 a2 a2)) (*.f64 a2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))) (*.f64 (cbrt.f64 (*.f64 (*.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (*.f64 (*.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (cbrt.f64 1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (*.f64 a2 a2))) (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (*.f64 a2 a2))) 2) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a2) (*.f64 a2 (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 (*.f64 (neg.f64 a2) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a2 a2)) (*.f64 (neg.f64 (*.f64 a2 (cbrt.f64 a2))) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a2) (*.f64 (cbrt.f64 a2) (*.f64 (*.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 a2 a2))) (*.f64 (cbrt.f64 (*.f64 a2 (cbrt.f64 a2))) (*.f64 (*.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) 2) (cbrt.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (cbrt.f64 a2)) (*.f64 (cbrt.f64 (*.f64 a2 a2)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a2) (*.f64 (*.f64 (cbrt.f64 (*.f64 a2 a2)) a2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 a2 a2)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 a2 a2)) (*.f64 (/.f64 -1 (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (*.f64 a2 a2))) (*.f64 (*.f64 a2 (cbrt.f64 a2)) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) (cbrt.f64 (neg.f64 (*.f64 a2 a2)))) (neg.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 a2 a2))) (*.f64 (*.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (neg.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 1/8)) (pow.f64 2 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2))) (neg.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 a2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 a2 a2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 8)))) (*.f64 a2 (cbrt.f64 a2))) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))) (*.f64 a2 (cbrt.f64 a2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 2 -1/4) (*.f64 a2 a2)) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) (cbrt.f64 (*.f64 a2 a2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) a2) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) a2) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 a2 a2)) (*.f64 (*.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 a2 a2)) (/.f64 (*.f64 a2 (cbrt.f64 a2)) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 a2 (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2)))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 a2 a2) 3) (sqrt.f64 8)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 a2) 3) (sqrt.f64 8)))))))

simplify417.0ms (1.2%)

Algorithm

1×

egglog

Counts

112 → 116

Calls

Call 1

Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 (cbrt.f64 a2)) 0) (/.f64 (cbrt.f64 (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 a2 (cbrt.f64 a2)))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 1 0) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (.f64 a2 a2)) 0) (/.f64 (.f64 a2 (cbrt.f64 a2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 a2 a2)))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) a2) 0) (/.f64 (cbrt.f64 a2) (/.f64 (/.f64 (sqrt.f64 2) a2) (cbrt.f64 (.f64 a2 a2)))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (.f64 a2 a2))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (.f64 a2 a2))) (/.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 (cbrt.f64 (neg.f64 (.f64 a2 a2))) 2))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (.f64 a2 a2)) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 (cbrt.f64 a2)) 0) (/.f64 (cbrt.f64 (neg.f64 (.f64 a2 a2))) (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a2 (cbrt.f64 a2)))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 a2) 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (.f64 a2 (cbrt.f64 a2))) 0) (/.f64 (cbrt.f64 (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 a2 (cbrt.f64 a2)))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(+.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 1/2) (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 1/2))
(+.f64 (.f64 1/2 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) (.f64 1/2 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))))
(-.f64 (/.f64 0 (neg.f64 (sqrt.f64 2))) (/.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 2)))
(-.f64 0 (/.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) 1) (*.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) 1))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) (.f64 (*.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) (cbrt.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2)))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 8)))) (/.f64 (*.f64 a2 (cbrt.f64 a2)) (sqrt.f64 (sqrt.f64 2))))
(.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (*.f64 a2 (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (*.f64 a2 a2) (cbrt.f64 1/2)))
(.f64 (pow.f64 2 -1/4) (/.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (/.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 8)))))
(.f64 (.f64 a2 (cbrt.f64 1/2)) (*.f64 a2 (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 -1/4))
(.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2)) (cbrt.f64 (.f64 a2 a2)))
(.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (cbrt.f64 (.f64 a2 a2))) (cbrt.f64 a2))
(.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (cbrt.f64 a2)) (cbrt.f64 (.f64 a2 a2)))
(.f64 (.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))))) (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))))
(.f64 (.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) (cbrt.f64 (*.f64 a2 a2))) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)))) (pow.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) 2))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a2 a2))) (.f64 a2 (cbrt.f64 a2)))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 a2)) (.f64 (cbrt.f64 (.f64 a2 a2)) a2))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (.f64 (.f64 a2 a2) (cbrt.f64 1/2)) 1))
(.f64 (cbrt.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 8)))) (.f64 (/.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 (sqrt.f64 2))) 1))
(.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (.f64 (.f64 a2 (cbrt.f64 1/2)) 1))
(.f64 (pow.f64 2 -1/4) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) 1))
(.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (.f64 (*.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2)) 1))
(.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) (.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) 1))
(.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (cbrt.f64 a2) (.f64 a2 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 a2) (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 a2 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))) (.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cbrt.f64 1/2) (*.f64 a2 a2)))
(.f64 (cbrt.f64 (neg.f64 (.f64 a2 a2))) (.f64 (pow.f64 (cbrt.f64 (neg.f64 (.f64 a2 a2))) 2) (/.f64 -1 (sqrt.f64 2))))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 -1 (sqrt.f64 2))))
(.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (neg.f64 (.f64 a2 (cbrt.f64 a2))) (/.f64 -1 (sqrt.f64 2))))
(.f64 (cbrt.f64 a2) (.f64 (cbrt.f64 a2) (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 a2))) (.f64 (cbrt.f64 (.f64 a2 (cbrt.f64 a2))) (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) 2) (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))))
(.f64 (.f64 a2 (cbrt.f64 a2)) (.f64 (cbrt.f64 (.f64 a2 a2)) (sqrt.f64 1/2)))
(.f64 (cbrt.f64 a2) (.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) a2) (sqrt.f64 1/2)))
(.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 2) 1/2)
(.f64 -1 (/.f64 (neg.f64 (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 2 (.f64 1/2 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))))
(.f64 (neg.f64 (.f64 a2 a2)) (/.f64 -1 (sqrt.f64 2)))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(.f64 (neg.f64 (.f64 a2 a2)) (*.f64 (/.f64 -1 (sqrt.f64 2)) 1))
(.f64 (cbrt.f64 (neg.f64 (.f64 a2 a2))) (.f64 (.f64 a2 (cbrt.f64 a2)) (/.f64 -1 (sqrt.f64 2))))
(.f64 1 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 1)
(/.f64 (.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) (cbrt.f64 (neg.f64 (.f64 a2 a2)))) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (.f64 a2 a2))) (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 1/8)) (pow.f64 2 1/8))
(/.f64 (/.f64 (neg.f64 (*.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2))) (neg.f64 (cbrt.f64 2)))
(/.f64 (neg.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 a2 a2)) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 8)))) (*.f64 a2 (cbrt.f64 a2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) (.f64 a2 (cbrt.f64 a2))) (cbrt.f64 2))
(/.f64 (.f64 (pow.f64 2 -1/4) (.f64 a2 a2)) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) (cbrt.f64 (.f64 a2 a2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) a2) (cbrt.f64 2))
(/.f64 (*.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) a2) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (/.f64 (*.f64 a2 (cbrt.f64 a2)) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a2 a2) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (/.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(/.f64 (/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2)))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) 2))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) 3)
(pow.f64 (/.f64 (pow.f64 (*.f64 a2 a2) 3) (sqrt.f64 8)) 1/3)
(pow.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) 2)
(pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 1)
(neg.f64 (/.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 2)))
(neg.f64 (.f64 (/.f64 (neg.f64 (.f64 a2 a2)) (sqrt.f64 2)) 1))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 a2) 3) (sqrt.f64 8)))

Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 (cbrt.f64 a2)) 0) (/.f64 (cbrt.f64 (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 a2 (cbrt.f64 a2)))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1 a2) a2)) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 1 0) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (.f64 a2 a2)) 0) (/.f64 (.f64 a2 (cbrt.f64 a2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 a2 a2)))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) a2) 0) (/.f64 (cbrt.f64 a2) (/.f64 (/.f64 (sqrt.f64 2) a2) (cbrt.f64 (.f64 a2 a2)))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) a2) 0) (/.f64 (cbrt.f64 a2) (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (.f64 a2 a2)) a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (.f64 a2 a2))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (.f64 a2 a2))) (/.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 (cbrt.f64 (neg.f64 (.f64 a2 a2))) 2))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 (cbrt.f64 a2)) 0) (/.f64 (cbrt.f64 (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 a2 (cbrt.f64 a2)))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (.f64 a2 a2)) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (.f64 a2 a2)) 0) (/.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1 a2) a2)) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 (cbrt.f64 a2)) 0) (/.f64 (cbrt.f64 (neg.f64 (.f64 a2 a2))) (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a2 (cbrt.f64 a2)))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 (cbrt.f64 a2)) 0) (/.f64 (cbrt.f64 (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 a2 (cbrt.f64 a2)))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 a2) 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (.f64 a2 (cbrt.f64 a2))) 0) (/.f64 (cbrt.f64 (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 a2 (cbrt.f64 a2)))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (neg.f64 a2) (cbrt.f64 a2)) 0) (/.f64 (cbrt.f64 (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (.f64 a2 (cbrt.f64 a2)))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1 a2) a2)) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(+.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 1/2) (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 1/2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(+.f64 (.f64 1/2 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) (.f64 1/2 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(-.f64 (/.f64 0 (neg.f64 (sqrt.f64 2))) (/.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(-.f64 0 (/.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 (sqrt.f64 2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) 1) (*.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) 1))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) (.f64 (*.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) (cbrt.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 8)))) (/.f64 (*.f64 a2 (cbrt.f64 a2)) (sqrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 8))))
(.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (*.f64 a2 (cbrt.f64 1/2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (*.f64 a2 a2) (cbrt.f64 1/2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (pow.f64 2 -1/4) (/.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (.f64 (pow.f64 4 -1/8) a2) a2) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (/.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 8)))))
(/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 8))))
(.f64 (.f64 a2 (cbrt.f64 1/2)) (*.f64 a2 (cbrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 -1/4))
(/.f64 (.f64 (.f64 (pow.f64 4 -1/8) a2) a2) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2)) (cbrt.f64 (.f64 a2 a2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (cbrt.f64 (.f64 a2 a2))) (cbrt.f64 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (.f64 a2 (sqrt.f64 1/2)) (cbrt.f64 a2)) (cbrt.f64 (.f64 a2 a2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))))) (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) (cbrt.f64 (*.f64 a2 a2))) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)))) (pow.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) 2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a2 a2))) (.f64 a2 (cbrt.f64 a2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 a2)) (.f64 (cbrt.f64 (.f64 a2 a2)) a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (.f64 (.f64 a2 a2) (cbrt.f64 1/2)) 1))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 8)))) (.f64 (/.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 (sqrt.f64 2))) 1))
(/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 8))))
(.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) (.f64 (.f64 a2 (cbrt.f64 1/2)) 1))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (pow.f64 2 -1/4) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) 1))
(/.f64 (.f64 (.f64 (pow.f64 4 -1/8) a2) a2) (sqrt.f64 (sqrt.f64 2)))
(.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (.f64 (*.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2)) 1))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) (.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) 1))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (cbrt.f64 a2) (.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 a2) (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))) (.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cbrt.f64 1/2) (*.f64 a2 a2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (neg.f64 (.f64 a2 a2))) (.f64 (pow.f64 (cbrt.f64 (neg.f64 (.f64 a2 a2))) 2) (/.f64 -1 (sqrt.f64 2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 -1 (sqrt.f64 2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (neg.f64 (.f64 a2 (cbrt.f64 a2))) (/.f64 -1 (sqrt.f64 2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 a2) (.f64 (cbrt.f64 a2) (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a2 a2))) (.f64 (cbrt.f64 (.f64 a2 (cbrt.f64 a2))) (.f64 (.f64 a2 (cbrt.f64 a2)) (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) 2) (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 a2 (cbrt.f64 a2)) (.f64 (cbrt.f64 (.f64 a2 a2)) (sqrt.f64 1/2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 a2) (.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) a2) (sqrt.f64 1/2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 2) 1/2)
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 -1 (/.f64 (neg.f64 (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 2 (.f64 1/2 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (neg.f64 (.f64 a2 a2)) (/.f64 -1 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (neg.f64 (.f64 a2 a2)) (*.f64 (/.f64 -1 (sqrt.f64 2)) 1))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (neg.f64 (.f64 a2 a2))) (.f64 (.f64 a2 (cbrt.f64 a2)) (/.f64 -1 (sqrt.f64 2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 1 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 1)
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) (cbrt.f64 (neg.f64 (.f64 a2 a2)))) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (.f64 a2 a2))) (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 1/8)) (pow.f64 2 1/8))
(/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (pow.f64 4 1/8))
(/.f64 (/.f64 (neg.f64 (*.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2))) (neg.f64 (cbrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (neg.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 a2 a2)) (cbrt.f64 2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 8)))) (*.f64 a2 (cbrt.f64 a2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 8))))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) (.f64 a2 (cbrt.f64 a2))) (cbrt.f64 2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (.f64 (pow.f64 2 -1/4) (.f64 a2 a2)) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (pow.f64 4 -1/8) a2) a2) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2)) (cbrt.f64 (.f64 a2 a2))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (.f64 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2))) a2) (cbrt.f64 2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (*.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) a2) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (.f64 (.f64 a2 (cbrt.f64 a2)) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (.f64 (cbrt.f64 (.f64 a2 a2)) (/.f64 (*.f64 a2 (cbrt.f64 a2)) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (.f64 a2 (.f64 a2 (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (.f64 (.f64 a2 a2) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (/.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (/.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (/.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (neg.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 2)))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 1/2))) (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) 2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(/.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 1)
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(pow.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) 3)
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(pow.f64 (/.f64 (pow.f64 (*.f64 a2 a2) 3) (sqrt.f64 8)) 1/3)
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(pow.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 2))) 2)
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 1)
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(neg.f64 (/.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(neg.f64 (.f64 (/.f64 (neg.f64 (.f64 a2 a2)) (sqrt.f64 2)) 1))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 a2) 3) (sqrt.f64 8)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))

localize26.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
	0.2b	(*.f64 (sqrt.f64 1/2) (cos.f64 th))
✓	0.4b	(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))

Compiler

Compiled 31 to 19 computations (38.7% saved)

series62.0ms (0.2%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	th	@	-inf	(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
1.0ms	a1	@	0	(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
1.0ms	th	@	inf	(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
1.0ms	th	@	0	(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
1.0ms	a1	@	-inf	(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))

Compiler

Compiled 2620 to 1770 computations (32.4% saved)

rewrite221.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

169×	`egg-rr`
84×	`egg-rr`

Counts

2 → 253

Calls

Call 1

Inputs
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))

Outputs

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2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 a1 3) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (pow.f64 a1 3) (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))))))))

simplify542.0ms (1.5%)

Algorithm

1×

egglog

Counts

293 → 359

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) a1)
(+.f64 (.f64 (sqrt.f64 1/2) a1) (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 a1 (pow.f64 th 2)))))
(+.f64 (.f64 (sqrt.f64 1/2) a1) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 a1 (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (*.f64 a1 (pow.f64 th 4))))))
(+.f64 (.f64 (sqrt.f64 1/2) a1) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 a1 (pow.f64 th 6)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 a1 (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 a1 (pow.f64 th 4)))))))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (pow.f64 a1 2)))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
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(.f64 (.f64 (cbrt.f64 (.f64 a1 a1)) (sqrt.f64 1/2)) (.f64 (*.f64 a1 (cos.f64 th)) (cbrt.f64 a1)))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 1/2))) (.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2))) a1) a1)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 1/2) (cos.f64 th))) (.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2))) a1) a1)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 1/2)) (cbrt.f64 (cos.f64 th))) (.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2))) a1) a1)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 1/8) (cos.f64 th)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2))) a1) a1)))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 (.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 1/2)))) (.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2))) a1) a1)))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cbrt.f64 (cos.f64 th)) (.f64 (.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) a1) a1)))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) a1) a1)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2)))) (.f64 (.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) a1) a1)))
(.f64 (.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2)))) (.f64 (cbrt.f64 (cbrt.f64 1/2)) (.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2))) a1) a1)))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2)))) (.f64 (cbrt.f64 (cbrt.f64 1/2)) (.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2))) a1) a1)))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 1/2)))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2))) a1) a1)))
(.f64 (.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2)))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2))) a1) a1)))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cos.f64 th))) (.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2))) a1) a1)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 (.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) a1) a1)))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 1/2))) (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)) a1))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 1/2) (cos.f64 th))) (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)) a1))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 1/2)) (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)) a1))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 1/8) (cos.f64 th)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 th))) 2) (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)) a1))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 (.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 1/2)))) (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)) a1))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 1 (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)) a1))))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a1 (cos.f64 th)) 2) 1/2)) a1))))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a1 (cos.f64 th)) 2) 1/2)) a1))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2)))) (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a1 (cos.f64 th)) 2) 1/2)) a1))))
(.f64 (.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2)))) (.f64 (cbrt.f64 (cbrt.f64 1/2)) (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)) a1))))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2)))) (.f64 (cbrt.f64 (cbrt.f64 1/2)) (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)) a1))))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 1/2)))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)) a1))))
(.f64 (.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2)))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)) a1))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)) a1))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a1 (cos.f64 th)) 2) 1/2)) a1))))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2) 1/2) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) 1/2))) (cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) 1/2) (cbrt.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))))))
(.f64 (pow.f64 (.f64 a1 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2) (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (pow.f64 (.f64 a1 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2))
(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 (cos.f64 th)) a1))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 1/2))
(.f64 (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 a1 a1)) (*.f64 a1 (cos.f64 th)))) (sqrt.f64 1/2))
(.f64 2 (.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1/2))
(.f64 1/2 (+.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))))
(.f64 1 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 -1 (.f64 (*.f64 a1 a1) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 -1 (.f64 (*.f64 a1 (cos.f64 th)) a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 2 (.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 8))
(/.f64 (.f64 2 (.f64 (*.f64 a1 (cos.f64 th)) a1)) (sqrt.f64 8))
(/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (neg.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(pow.f64 (pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) 3)
(pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(neg.f64 (.f64 -1 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))))
(neg.f64 (.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) -1))
(cbrt.f64 (pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3))
(cbrt.f64 (.f64 (.f64 (pow.f64 a1 3) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (pow.f64 a1 3) (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))))

Outputs
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) a1)
(+.f64 (.f64 (sqrt.f64 1/2) a1) (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 a1 (pow.f64 th 2)))))
(fma.f64 (sqrt.f64 1/2) a1 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 a1 (.f64 th th)))))
(+.f64 (.f64 (sqrt.f64 1/2) a1) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 a1 (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (*.f64 a1 (pow.f64 th 4))))))
(fma.f64 (sqrt.f64 1/2) a1 (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 a1 (.f64 th th))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 a1 (pow.f64 th 4))))))
(+.f64 (.f64 (sqrt.f64 1/2) a1) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 a1 (pow.f64 th 6)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 a1 (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 a1 (pow.f64 th 4)))))))
(fma.f64 (sqrt.f64 1/2) a1 (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 a1 (pow.f64 th 6))) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 a1 (.f64 th th))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 a1 (pow.f64 th 4)))))))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (cos.f64 th)))
(.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 a1 (.f64 (sqrt.f64 1/2) a1))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (.f64 th th))) (.f64 a1 (.f64 (sqrt.f64 1/2) a1)))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(fma.f64 1/24 (.f64 (.f64 a1 (.f64 (sqrt.f64 1/2) a1)) (pow.f64 th 4)) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (.f64 th th))) (.f64 a1 (*.f64 (sqrt.f64 1/2) a1))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (pow.f64 a1 2)))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))))
(fma.f64 -1/720 (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 th 6)) (.f64 a1 a1)) (fma.f64 1/24 (.f64 (.f64 a1 (.f64 (sqrt.f64 1/2) a1)) (pow.f64 th 4)) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (.f64 th th))) (.f64 a1 (.f64 (sqrt.f64 1/2) a1)))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(fma.f64 1/2 (.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 1/2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 8)))
(fma.f64 1/2 (.f64 a1 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 8)))
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(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 1/2))))) (.f64 (cbrt.f64 (.f64 a1 (.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2))) a1))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a1 (cos.f64 th)) 2) 1/2)) a1))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))))) (.f64 (cbrt.f64 (.f64 a1 (.f64 (pow.f64 (.f64 a1 (cos.f64 th)) 2) 1/2))) a1))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))) (cbrt.f64 (sqrt.f64 1/2)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) 2) (.f64 1/2 (.f64 a1 (*.f64 a1 (cos.f64 th))))) (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2) 1/2) (sqrt.f64 1/2))))
(cbrt.f64 (.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (.f64 (.f64 (pow.f64 (.f64 a1 (*.f64 a1 (cos.f64 th))) 2) 1/2) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) 1/2))) (cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2) 1/2) (cbrt.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))))))
(cbrt.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) 2) 1/2)) (.f64 (.f64 (pow.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) 2) 1/2) (cbrt.f64 (.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)))))
(.f64 (pow.f64 (.f64 a1 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2) (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (pow.f64 (.f64 a1 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2))
(.f64 (pow.f64 (.f64 a1 (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2) (cbrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 (.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 (cos.f64 th)) a1))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 1/2))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 (.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 a1 a1)) (*.f64 a1 (cos.f64 th)))) (sqrt.f64 1/2))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 2 (.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1/2))
(.f64 2 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 a1 (*.f64 a1 1/2))))
(.f64 1/2 (+.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))))
(.f64 2 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 a1 (*.f64 a1 1/2))))
(.f64 1 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 -1 (.f64 (*.f64 a1 a1) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 -1 (.f64 (*.f64 a1 (cos.f64 th)) a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 2 (.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 8))
(/.f64 (.f64 (.f64 2 (*.f64 a1 (cos.f64 th))) a1) (sqrt.f64 8))
(/.f64 (.f64 2 (.f64 (*.f64 a1 (cos.f64 th)) a1)) (sqrt.f64 8))
(/.f64 (.f64 (.f64 2 (*.f64 a1 (cos.f64 th))) a1) (sqrt.f64 8))
(/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (neg.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(pow.f64 (pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3) 1/3)
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) 3)
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(neg.f64 (.f64 -1 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))))
(neg.f64 (.f64 (.f64 (*.f64 (neg.f64 a1) (cos.f64 th)) a1) (sqrt.f64 1/2)))
(neg.f64 (.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) -1))
(neg.f64 (.f64 (.f64 (*.f64 (neg.f64 a1) (cos.f64 th)) a1) (sqrt.f64 1/2)))
(cbrt.f64 (pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3))
(.f64 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1)
(cbrt.f64 (.f64 (.f64 (pow.f64 a1 3) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (pow.f64 a1 3) (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))))

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a1 a1) (cos.f64 th))
✓	0.3b	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))

Compiler

Compiled 28 to 12 computations (57.1% saved)

series29.0ms (0.1%)

Counts

1 → 16

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a1	@	0	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
0.0ms	th	@	0	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
0.0ms	a1	@	inf	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
0.0ms	th	@	-inf	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
0.0ms	a1	@	-inf	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))

Compiler

Compiled 1510 to 1135 computations (24.8% saved)

rewrite165.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

187× egg-rr

Counts

1 → 187

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 a1 a1))) (*.f64 (*.f64 a1 (cbrt.f64 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 2)) (*.f64 (cbrt.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a1 a1)) (*.f64 (*.f64 (*.f64 a1 (cbrt.f64 a1)) (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 th)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a1) (*.f64 (*.f64 (cbrt.f64 (*.f64 a1 a1)) (*.f64 a1 (cos.f64 th))) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (neg.f64 a1) (*.f64 a1 (cos.f64 th))) (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (*.f64 (*.f64 a1 (cos.f64 th)) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) 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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 (neg.f64 a1) (*.f64 a1 (cos.f64 th))) (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3))))))

simplify434.0ms (1.2%)

Algorithm

1×

egglog

Counts

203 → 248

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a1 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(if (!=.f64 (cos.f64 th) 0) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) 0) (/.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)))) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a1 a1) 0) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a1 (cos.f64 th)) 0) (/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th))) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) 0) (/.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th)))) (/.f64 (neg.f64 (sqrt.f64 2)) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)))) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
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(.f64 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2))) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) (cbrt.f64 1/2)) 1))
(.f64 a1 (.f64 (.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 1/2)) 1))
(.f64 (cbrt.f64 a1) (.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (cbrt.f64 a1) (.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 (.f64 a1 a1) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 (cbrt.f64 (cos.f64 th)) (.f64 (.f64 a1 a1) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cbrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))
(.f64 (.f64 a1 (cbrt.f64 a1)) (.f64 (cbrt.f64 (.f64 a1 a1)) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (.f64 a1 (cbrt.f64 a1)) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 a1) (.f64 (.f64 (cbrt.f64 (.f64 a1 a1)) a1) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 1/2)))
(.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (cos.f64 th))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (sqrt.f64 1/2)))
(.f64 (.f64 (cos.f64 th) (cbrt.f64 (.f64 a1 a1))) (.f64 (*.f64 a1 (cbrt.f64 a1)) (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) (.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (.f64 (*.f64 a1 (cbrt.f64 a1)) (cos.f64 th)) (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (cos.f64 th)) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 a1 a1)) (sqrt.f64 1/2)))
(.f64 (cbrt.f64 a1) (.f64 (.f64 (cbrt.f64 (.f64 a1 a1)) (*.f64 a1 (cos.f64 th))) (sqrt.f64 1/2)))
(.f64 2 (.f64 1/2 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))))
(.f64 -1 (/.f64 (.f64 (neg.f64 a1) (*.f64 a1 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(/.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2))) (cbrt.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th))))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th)))) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (neg.f64 (cbrt.f64 2)))
(/.f64 (/.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th))) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) 2))
(/.f64 (.f64 (cbrt.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th)))) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2))) (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 2)))
(/.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2))) (*.f64 a1 (cos.f64 th))) (cbrt.f64 2))
(/.f64 (.f64 (/.f64 a1 (sqrt.f64 (sqrt.f64 2))) (.f64 a1 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(/.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2))) (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2))) (cbrt.f64 2))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2))) (.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) (cos.f64 th)) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (*.f64 a1 a1) (cos.f64 th))) (cbrt.f64 2))
(/.f64 (.f64 (pow.f64 2 (neg.f64 1/4)) (.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 (sqrt.f64 2))) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 8)))) (cbrt.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))) (*.f64 a1 a1)) (cbrt.f64 2))
(/.f64 (.f64 (/.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (*.f64 (cos.f64 th) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (/.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2)) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 a1 (.f64 (*.f64 a1 (cos.f64 th)) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 (*.f64 a1 a1) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(/.f64 (/.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2)))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(neg.f64 (/.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th))) (sqrt.f64 2)))
(neg.f64 (.f64 (/.f64 (.f64 (neg.f64 a1) (*.f64 a1 (cos.f64 th))) (sqrt.f64 2)) 1))
(cbrt.f64 (pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3))

Outputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 a1 a1) (.f64 th th)) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 a1 a1) (.f64 th th)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (.f64 (.f64 a1 a1) (pow.f64 th 4)) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a1 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 a1 a1) (.f64 th th)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (.f64 (.f64 a1 a1) (pow.f64 th 4)) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(if (!=.f64 (cos.f64 th) 0) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (cos.f64 th) 0) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 a1 (.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 1/2))))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) 0) (/.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)))) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) 0) (/.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)))) (.f64 a1 (.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2))))
(if (!=.f64 (.f64 a1 a1) 0) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a1 a1) 0) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (.f64 a1 (.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2))))
(if (!=.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))) (.f64 a1 (.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2))))
(if (!=.f64 (.f64 a1 (cos.f64 th)) 0) (/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a1 (cos.f64 th)) 0) (/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (.f64 a1 (.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 1/2))))
(if (!=.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th))) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th))) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))) (.f64 a1 (.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2))))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) 0) (/.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th)))) (/.f64 (neg.f64 (sqrt.f64 2)) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)))) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) 0) (/.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)))) (.f64 a1 (.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2))))
(if (!=.f64 (.f64 (neg.f64 a1) (cos.f64 th)) 0) (/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (neg.f64 a1) (cos.f64 th)) 0) (/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (.f64 a1 (.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 1/2))))
(if (!=.f64 (.f64 a1 (cos.f64 th)) 0) (/.f64 (neg.f64 a1) (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a1 (cos.f64 th)))) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a1 (cos.f64 th)) 0) (/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (.f64 a1 (.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 1/2))))
(if (!=.f64 (neg.f64 (.f64 a1 a1)) 0) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (.f64 a1 a1)) 0) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (.f64 a1 (.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2))))
(if (!=.f64 (.f64 a1 a1) 0) (/.f64 (neg.f64 (cos.f64 th)) (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a1 a1))) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 a1 a1) 0) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (.f64 a1 (.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2))))
(if (!=.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 0) (/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 (.f64 a1 a1) (cos.f64 th)))) (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))) (.f64 a1 (.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2))))
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(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (neg.f64 (cbrt.f64 2)))
(/.f64 (/.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th))) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) 2))
(/.f64 (.f64 (cbrt.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th)))) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2))) (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 2)))
(/.f64 (cbrt.f64 (.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th))) (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2))) (cbrt.f64 (.f64 (neg.f64 (sqrt.f64 2)) 2)))
(/.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 (cbrt.f64 (sqrt.f64 1/2))) (*.f64 a1 (cos.f64 th))) (cbrt.f64 2))
(/.f64 (.f64 (/.f64 a1 (sqrt.f64 (sqrt.f64 2))) (.f64 a1 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(.f64 a1 (.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2)))
(/.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2))) (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (cbrt.f64 (.f64 (.f64 1/2 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) (.f64 (.f64 a1 a1) (cos.f64 th)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (.f64 (.f64 a1 (.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 1/2))) (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2))) (cbrt.f64 2))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2))) (.f64 a1 a1)) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 1/2))) (cos.f64 th)) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (*.f64 a1 a1) (cos.f64 th))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (pow.f64 2 (neg.f64 1/4)) (.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (pow.f64 2 -1/4) (.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 (sqrt.f64 2))) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 8)))) (cbrt.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 8))) (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 1/2))) (*.f64 a1 a1)) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (/.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (*.f64 (cos.f64 th) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (cbrt.f64 (.f64 (.f64 1/2 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) 2)) (.f64 (.f64 a1 a1) (cos.f64 th)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (/.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2)) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (cbrt.f64 (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 2))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 a1 (.f64 (*.f64 a1 (cos.f64 th)) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (.f64 (*.f64 a1 a1) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2))) 1) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) 1) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (/.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th))) (sqrt.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 (sqrt.f64 2)))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) 3)
(.f64 a1 (.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2)))
(pow.f64 (pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3) 1/3)
(.f64 a1 (.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2)))
(pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 1)
(.f64 a1 (.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2)))
(neg.f64 (/.f64 (.f64 (neg.f64 a1) (.f64 a1 (cos.f64 th))) (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(neg.f64 (.f64 (/.f64 (.f64 (neg.f64 a1) (*.f64 a1 (cos.f64 th))) (sqrt.f64 2)) 1))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(cbrt.f64 (pow.f64 (.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)) 3))
(.f64 a1 (.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2)))

eval757.0ms (2.1%)

Compiler: Compiled 30659 to 16863 computations (45% saved)

prune429.0ms (1.2%)

Pruning

26 alts after pruning (15 fresh and 11 done)

	Pruned	Kept	Total
New	1409	6	1415
Fresh	4	9	13
Picked	0	1	1
Done	0	10	10
Total	1413	26	1439

Error

Counts

1439 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	40.2b	(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
	40.3b	(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
	26.1b	(if (!=.f64 a1 0) (/.f64 (.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
✓	24.2b	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
	44.7b	(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
✓	26.1b	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
	38.0b	(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
✓	28.2b	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
✓	40.2b	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	38.0b	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	38.0b	(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
✓	0.4b	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
	40.3b	(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
	28.2b	(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
	28.2b	(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
✓	28.1b	(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
	40.2b	(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
	26.1b	(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
	38.0b	(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
✓	28.2b	(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
✓	40.2b	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
✓	26.1b	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
✓	38.0b	(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
	40.3b	(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
	26.2b	(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
✓	26.1b	(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))

Compiler

Compiled 335 to 248 computations (26% saved)

regimes228.0ms (0.6%)

Counts

49 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) a2)
(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (pow.f64 1/8 -1/6))
(if (!=.f64 a1 0) (/.f64 (.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 a2 0) (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2))
(/.f64 (.f64 (.f64 (cbrt.f64 1/2) a1) a1) (cbrt.f64 (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (pow.f64 1/8 -1/6))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (if (!=.f64 a1 0) (/.f64 (.f64 (cos.f64 th) a1) (/.f64 (sqrt.f64 2) a1)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) (.f64 (cos.f64 th) (cbrt.f64 a2))) (cbrt.f64 (*.f64 a2 a2)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 1/2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (if (!=.f64 a2 0) (/.f64 (.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))))
(+.f64 (if (!=.f64 a1 0) (/.f64 (.f64 (cos.f64 th) a1) (/.f64 (sqrt.f64 2) a1)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

Outputs
(+.f64 (if (!=.f64 a1 0) (/.f64 (.f64 (cos.f64 th) a1) (/.f64 (sqrt.f64 2) a1)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

Calls

8 calls:

65.0ms	a2
42.0ms	a1
23.0ms	th
21.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
18.0ms	(cos.f64 th)

Results

Error	Segments	Branch
0.4b	1	`a1`
0.4b	1	`a2`
0.4b	1	`th`
0.4b	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))`
0.4b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.4b	1	`(cos.f64 th)`
0.4b	1	`(*.f64 a1 a1)`
0.4b	1	`(*.f64 a2 a2)`

Compiler

Compiled 669 to 348 computations (48% saved)

regimes172.0ms (0.5%)

Counts

48 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) a2)
(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (pow.f64 1/8 -1/6))
(if (!=.f64 a1 0) (/.f64 (.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 a2 0) (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2))
(/.f64 (.f64 (.f64 (cbrt.f64 1/2) a1) a1) (cbrt.f64 (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (pow.f64 1/8 -1/6))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (if (!=.f64 a1 0) (/.f64 (.f64 (cos.f64 th) a1) (/.f64 (sqrt.f64 2) a1)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) (.f64 (cos.f64 th) (cbrt.f64 a2))) (cbrt.f64 (*.f64 a2 a2)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 1/2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (if (!=.f64 a2 0) (/.f64 (.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))))

Outputs
(+.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 1/2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))

Calls

8 calls:

22.0ms	th
22.0ms	a1
21.0ms	a2
20.0ms	(*.f64 a2 a2)
18.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

Results

Error	Segments	Branch
0.4b	1	`a1`
0.4b	1	`a2`
0.4b	1	`th`
0.4b	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))`
0.4b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.4b	1	`(cos.f64 th)`
0.4b	1	`(*.f64 a1 a1)`
0.4b	1	`(*.f64 a2 a2)`

Compiler

Compiled 637 to 333 computations (47.7% saved)

regimes186.0ms (0.5%)

Counts

45 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) a2)
(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (pow.f64 1/8 -1/6))
(if (!=.f64 a1 0) (/.f64 (.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 a2 0) (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2))
(/.f64 (.f64 (.f64 (cbrt.f64 1/2) a1) a1) (cbrt.f64 (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (pow.f64 1/8 -1/6))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (if (!=.f64 a1 0) (/.f64 (.f64 (cos.f64 th) a1) (/.f64 (sqrt.f64 2) a1)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) a2) (.f64 (cos.f64 th) (cbrt.f64 a2))) (cbrt.f64 (*.f64 a2 a2)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))

Outputs
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))

Calls

7 calls:

45.0ms	a2
35.0ms	a1
25.0ms	th
24.0ms	(cos.f64 th)
21.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Error	Segments	Branch
0.4b	1	`a1`
0.4b	1	`a2`
0.4b	1	`th`
0.4b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.4b	1	`(cos.f64 th)`
0.4b	1	`(*.f64 a1 a1)`
0.4b	1	`(*.f64 a2 a2)`

Compiler

Compiled 545 to 284 computations (47.9% saved)

regimes212.0ms (0.6%)

Counts

38 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) a2)
(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (pow.f64 1/8 -1/6))
(if (!=.f64 a1 0) (/.f64 (.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 a2 0) (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2))
(/.f64 (.f64 (.f64 (cbrt.f64 1/2) a1) a1) (cbrt.f64 (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (cbrt.f64 (/.f64 2 (sqrt.f64 1/2))))

Outputs
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))

Calls

7 calls:

44.0ms	a2
44.0ms	a1
34.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
33.0ms	th
20.0ms	(cos.f64 th)

Results

Error	Segments	Branch
0.4b	1	`a1`
0.4b	1	`a2`
0.4b	1	`th`
0.4b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.4b	1	`(cos.f64 th)`
0.4b	1	`(*.f64 a1 a1)`
0.4b	1	`(*.f64 a2 a2)`

Compiler

Compiled 429 to 231 computations (46.2% saved)

regimes769.0ms (2.1%)

Counts

33 → 9

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) a2)
(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (pow.f64 1/8 -1/6))
(if (!=.f64 a1 0) (/.f64 (.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1)) (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2)))
(if (!=.f64 a2 0) (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2))
(/.f64 (.f64 (.f64 (cbrt.f64 1/2) a1) a1) (cbrt.f64 (sqrt.f64 2)))

Outputs
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (pow.f64 1/8 -1/6))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))

Calls

7 calls:

219.0ms	(cos.f64 th)
142.0ms	a2
125.0ms	th
107.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
78.0ms	a1

Results

Error	Segments	Branch
10.1b	3	`a1`
8.7b	5	`a2`
6.1b	9	`th`
7.8b	8	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
7.8b	8	`(cos.f64 th)`
9.0b	4	`(*.f64 a1 a1)`
10.1b	2	`(*.f64 a2 a2)`

Compiler

Compiled 369 to 206 computations (44.2% saved)

bsearch387.0ms (1.1%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
51.0ms	4.645012298830004e+203	3.728219108146016e+205
27.0ms	4.882658620681405e+133	1.7223921902992892e+134
33.0ms	2.591282898182255e+99	9.906386295613048e+100
31.0ms	3.981889712687177e-15	174.60072091782328
20.0ms	-2.5034584034802547	-0.1372130578026637
37.0ms	-3.07853337187419e+131	-6.843205446276896e+130
85.0ms	-1.1376800079056963e+174	-2.6648910612410074e+169
102.0ms	-1.442944111086319e+217	-3.621584517727861e+212

Results

217.0ms	314×	body	1024	valid
85.0ms	251×	body	512	valid
65.0ms	363×	body	256	valid

Compiler

Compiled 1548 to 1175 computations (24.1% saved)

regimes535.0ms (1.5%)

Counts

29 → 9

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) a2)
(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))

Outputs
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))

Calls

7 calls:

175.0ms	th
104.0ms	(cos.f64 th)
89.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
61.0ms	a2
52.0ms	a1

Results

Error	Segments	Branch
10.1b	3	`a1`
8.7b	5	`a2`
6.1b	9	`th`
7.8b	8	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
7.8b	8	`(cos.f64 th)`
9.0b	4	`(*.f64 a1 a1)`
10.1b	2	`(*.f64 a2 a2)`

Compiler

Compiled 305 to 172 computations (43.6% saved)

bsearch337.0ms (0.9%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
48.0ms	4.645012298830004e+203	3.728219108146016e+205
23.0ms	4.882658620681405e+133	1.7223921902992892e+134
38.0ms	2.591282898182255e+99	9.906386295613048e+100
29.0ms	3.981889712687177e-15	174.60072091782328
24.0ms	-2.5034584034802547	-0.1372130578026637
31.0ms	-3.07853337187419e+131	-6.843205446276896e+130
83.0ms	-1.1376800079056963e+174	-2.6648910612410074e+169
61.0ms	-1.442944111086319e+217	-3.621584517727861e+212

Results

177.0ms	320×	body	1024	valid
81.0ms	250×	body	512	valid
62.0ms	358×	body	256	valid

Compiler

Compiled 1536 to 1163 computations (24.3% saved)

regimes502.0ms (1.4%)

Counts

28 → 9

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) a2)
(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))

Outputs
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))

Calls

7 calls:

168.0ms	th
82.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
79.0ms	(cos.f64 th)
61.0ms	a1
61.0ms	a2

Results

Error	Segments	Branch
10.1b	3	`a1`
8.7b	5	`a2`
6.2b	9	`th`
7.9b	8	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
7.9b	8	`(cos.f64 th)`
9.0b	4	`(*.f64 a1 a1)`
10.1b	2	`(*.f64 a2 a2)`

Compiler

Compiled 296 to 169 computations (42.9% saved)

bsearch419.0ms (1.2%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
50.0ms	4.645012298830004e+203	3.728219108146016e+205
24.0ms	4.882658620681405e+133	1.7223921902992892e+134
39.0ms	2.591282898182255e+99	9.906386295613048e+100
27.0ms	3.981889712687177e-15	174.60072091782328
25.0ms	-2.5034584034802547	-0.1372130578026637
47.0ms	-3.07853337187419e+131	-6.843205446276896e+130
99.0ms	-1.1376800079056963e+174	-2.6648910612410074e+169
106.0ms	-1.442944111086319e+217	-3.621584517727861e+212

Results

237.0ms	322×	body	1024	valid
96.0ms	245×	body	512	valid
66.0ms	361×	body	256	valid

Compiler

Compiled 1536 to 1163 computations (24.3% saved)

regimes372.0ms (1%)

Counts

24 → 9

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) a2)

Outputs
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) a2)
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))

Calls

7 calls:

95.0ms	th
83.0ms	(cos.f64 th)
69.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
51.0ms	a2
34.0ms	a1

Results

Error	Segments	Branch
10.1b	3	`a1`
8.7b	5	`a2`
6.2b	9	`th`
8.9b	7	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
8.9b	7	`(cos.f64 th)`
9.0b	4	`(*.f64 a1 a1)`
10.1b	2	`(*.f64 a2 a2)`

Compiler

Compiled 260 to 154 computations (40.8% saved)

bsearch339.0ms (0.9%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
73.0ms	4.645012298830004e+203	3.728219108146016e+205
24.0ms	4.882658620681405e+133	1.7223921902992892e+134
39.0ms	2.591282898182255e+99	9.906386295613048e+100
26.0ms	3.981889712687177e-15	174.60072091782328
19.0ms	-2.5034584034802547	-0.1372130578026637
31.0ms	-3.07853337187419e+131	-6.843205446276896e+130
73.0ms	-1.1376800079056963e+174	-2.6648910612410074e+169
53.0ms	-1.442944111086319e+217	-3.621584517727861e+212

Results

185.0ms	321×	body	1024	valid
84.0ms	254×	body	512	valid
55.0ms	353×	body	256	valid

Compiler

Compiled 1536 to 1163 computations (24.3% saved)

regimes349.0ms (1%)

Counts

23 → 9

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))

Outputs
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))

Calls

7 calls:

97.0ms	th
61.0ms	(cos.f64 th)
60.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
54.0ms	a2
35.0ms	a1

Results

Error	Segments	Branch
10.1b	3	`a1`
8.7b	5	`a2`
6.2b	9	`th`
8.9b	7	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
8.9b	7	`(cos.f64 th)`
9.0b	4	`(*.f64 a1 a1)`
10.1b	2	`(*.f64 a2 a2)`

Compiler

Compiled 251 to 150 computations (40.2% saved)

bsearch331.0ms (0.9%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
53.0ms	4.645012298830004e+203	3.728219108146016e+205
28.0ms	4.882658620681405e+133	1.7223921902992892e+134
34.0ms	2.591282898182255e+99	9.906386295613048e+100
29.0ms	3.981889712687177e-15	174.60072091782328
27.0ms	-2.5034584034802547	-0.1372130578026637
30.0ms	-3.07853337187419e+131	-6.843205446276896e+130
64.0ms	-1.1376800079056963e+174	-2.6648910612410074e+169
66.0ms	-1.442944111086319e+217	-3.621584517727861e+212

Results

171.0ms	332×	body	1024	valid
82.0ms	258×	body	512	valid
62.0ms	338×	body	256	valid

Compiler

Compiled 1536 to 1163 computations (24.3% saved)

regimes596.0ms (1.7%)

Counts

21 → 9

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))

Outputs
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) (*.f64 a1 (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))

Calls

7 calls:

185.0ms	th
148.0ms	a2
108.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
66.0ms	(cos.f64 th)
46.0ms	a1

Results

Error	Segments	Branch
10.1b	3	`a1`
8.7b	5	`a2`
6.2b	9	`th`
8.9b	7	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
8.9b	7	`(cos.f64 th)`
9.0b	4	`(*.f64 a1 a1)`
10.1b	2	`(*.f64 a2 a2)`

Compiler

Compiled 233 to 143 computations (38.6% saved)

bsearch517.0ms (1.4%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
96.0ms	4.645012298830004e+203	3.728219108146016e+205
48.0ms	4.882658620681405e+133	1.7223921902992892e+134
66.0ms	2.591282898182255e+99	9.906386295613048e+100
51.0ms	3.981889712687177e-15	174.60072091782328
44.0ms	-2.5034584034802547	-0.1372130578026637
42.0ms	-3.07853337187419e+131	-6.843205446276896e+130
85.0ms	-1.1376800079056963e+174	-2.6648910612410074e+169
84.0ms	-1.442944111086319e+217	-3.621584517727861e+212

Results

243.0ms	328×	body	1024	valid
137.0ms	242×	body	512	valid
113.0ms	358×	body	256	valid

Compiler

Compiled 1536 to 1163 computations (24.3% saved)

regimes416.0ms (1.2%)

Counts

20 → 9

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))

Outputs
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))

Calls

7 calls:

108.0ms	(cos.f64 th)
92.0ms	th
64.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
46.0ms	(*.f64 a1 a1)
46.0ms	a2

Results

Error	Segments	Branch
10.1b	3	`a1`
8.7b	5	`a2`
6.2b	9	`th`
8.9b	7	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
8.9b	7	`(cos.f64 th)`
9.0b	4	`(*.f64 a1 a1)`
10.2b	2	`(*.f64 a2 a2)`

Compiler

Compiled 224 to 138 computations (38.4% saved)

bsearch313.0ms (0.9%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
48.0ms	4.645012298830004e+203	3.728219108146016e+205
24.0ms	4.882658620681405e+133	1.7223921902992892e+134
34.0ms	2.591282898182255e+99	9.906386295613048e+100
28.0ms	3.981889712687177e-15	174.60072091782328
20.0ms	-2.5034584034802547	-0.1372130578026637
31.0ms	-3.07853337187419e+131	-6.843205446276896e+130
73.0ms	-1.1376800079056963e+174	-2.6648910612410074e+169
56.0ms	-1.442944111086319e+217	-3.621584517727861e+212

Results

163.0ms	321×	body	1024	valid
78.0ms	256×	body	512	valid
57.0ms	351×	body	256	valid

Compiler

Compiled 1536 to 1163 computations (24.3% saved)

regimes304.0ms (0.8%)

Counts

19 → 9

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))

Outputs
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))

Calls

7 calls:

78.0ms	th
63.0ms	(cos.f64 th)
56.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
45.0ms	a2
27.0ms	a1

Results

Error	Segments	Branch
10.2b	3	`a1`
8.8b	5	`a2`
6.2b	9	`th`
8.9b	7	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
8.9b	7	`(cos.f64 th)`
9.0b	4	`(*.f64 a1 a1)`
10.2b	2	`(*.f64 a2 a2)`

Compiler

Compiled 215 to 133 computations (38.1% saved)

bsearch354.0ms (1%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
47.0ms	4.645012298830004e+203	3.728219108146016e+205
23.0ms	4.882658620681405e+133	1.7223921902992892e+134
35.0ms	2.591282898182255e+99	9.906386295613048e+100
48.0ms	3.981889712687177e-15	174.60072091782328
20.0ms	-2.5034584034802547	-0.1372130578026637
29.0ms	-3.07853337187419e+131	-6.843205446276896e+130
84.0ms	-1.1376800079056963e+174	-2.6648910612410074e+169
66.0ms	-1.442944111086319e+217	-3.621584517727861e+212

Results

186.0ms	332×	body	1024	valid
78.0ms	255×	body	512	valid
67.0ms	341×	body	256	valid

Compiler

Compiled 1536 to 1163 computations (24.3% saved)

regimes317.0ms (0.9%)

Counts

18 → 5

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))

Outputs
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))

Calls

7 calls:

109.0ms	th
61.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
50.0ms	(cos.f64 th)
39.0ms	a2
25.0ms	a1

Results

Error	Segments	Branch
10.2b	3	`a1`
8.8b	5	`a2`
13.6b	14	`th`
20.4b	8	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
20.4b	8	`(cos.f64 th)`
9.0b	4	`(*.f64 a1 a1)`
10.2b	2	`(*.f64 a2 a2)`

Compiler

Compiled 206 to 129 computations (37.4% saved)

bsearch138.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
49.0ms	3.5456431966429753e-48	1.8886704059987022e-34
28.0ms	-1.032952083369425e-102	-6.0704138113135095e-105
21.0ms	-1.8817789694490302e-68	-6.545365648442126e-69
39.0ms	-2.3465118710997987e-30	-1.7596463887548622e-41

Results

56.0ms	102×	body	1024	valid
54.0ms	344×	body	256	valid
19.0ms	66×	body	512	valid

Compiler

Compiled 860 to 660 computations (23.3% saved)

regimes133.0ms (0.4%)

Counts

17 → 3

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))

Outputs
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))

Calls

7 calls:

38.0ms	th
32.0ms	a2
26.0ms	a1
10.0ms	(*.f64 a2 a2)
9.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
17.8b	3	`a1`
20.0b	3	`a2`
22.7b	5	`th`
26.1b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
26.1b	1	`(cos.f64 th)`
18.3b	2	`(*.f64 a1 a1)`
20.0b	2	`(*.f64 a2 a2)`

Compiler

Compiled 197 to 125 computations (36.5% saved)

bsearch51.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	3.283685926523289e-118	3.75025687607531e-115
16.0ms	-3.9041173667969716e-165	-1.9224781624672592e-165

Results

22.0ms	142×	body	256	valid
18.0ms	38×	body	1024	valid
8.0ms	28×	body	512	valid

Compiler

Compiled 327 to 254 computations (22.3% saved)

regimes131.0ms (0.4%)

Counts

16 → 3

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))

Outputs
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))

Calls

7 calls:

40.0ms	th
29.0ms	a2
23.0ms	a1
11.0ms	(*.f64 a2 a2)
8.0ms	(cos.f64 th)

Results

Error	Segments	Branch
17.8b	3	`a1`
20.0b	3	`a2`
22.7b	5	`th`
26.1b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
26.1b	1	`(cos.f64 th)`
18.3b	2	`(*.f64 a1 a1)`
20.0b	2	`(*.f64 a2 a2)`

Compiler

Compiled 188 to 121 computations (35.6% saved)

bsearch56.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	3.283685926523289e-118	3.75025687607531e-115
23.0ms	-3.9041173667969716e-165	-1.9224781624672592e-165

Results

31.0ms	150×	body	256	valid
17.0ms	40×	body	1024	valid
5.0ms	18×	body	512	valid

Compiler

Compiled 327 to 254 computations (22.3% saved)

regimes163.0ms (0.5%)

Counts

14 → 4

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 1/8) (.f64 a1 a1)) 1/2)
(if (!=.f64 a2 0) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (neg.f64 a2) (.f64 a2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))
(/.f64 (.f64 1/4 (.f64 a1 a1)) (*.f64 1/4 (sqrt.f64 2)))
(if (!=.f64 (.f64 a2 a2) 0) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))

Outputs
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))

Calls

5 calls:

68.0ms	a2
43.0ms	th
23.0ms	a1
17.0ms	(*.f64 a1 a1)
8.0ms	(*.f64 a2 a2)

Results

Error	Segments	Branch
29.2b	3	`a1`
29.6b	3	`a2`
33.4b	6	`th`
28.5b	4	`(*.f64 a1 a1)`
30.0b	2	`(*.f64 a2 a2)`

Compiler

Compiled 157 to 99 computations (36.9% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.8188317503392166e-90	1.0846864508255465e-84
0.0ms	1.1107709421020157e-198	5.691778468281201e-193
0.0ms	8.75808241076947e-294	2.7716504971272532e-291

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes119.0ms (0.3%)

Counts

6 → 4

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))

Outputs
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))

Calls

5 calls:

32.0ms	(*.f64 a2 a2)
29.0ms	th
25.0ms	(*.f64 a1 a1)
18.0ms	a2
13.0ms	a1

Results

Error	Segments	Branch
29.2b	3	`a1`
29.6b	3	`a2`
33.5b	6	`th`
28.5b	4	`(*.f64 a1 a1)`
30.0b	2	`(*.f64 a2 a2)`

Compiler

Compiled 63 to 42 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.8188317503392166e-90	1.0846864508255465e-84
0.0ms	1.1107709421020157e-198	5.691778468281201e-193
0.0ms	8.75808241076947e-294	2.7716504971272532e-291

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes118.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)

Outputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)

Calls

5 calls:

42.0ms	a1
34.0ms	a2
25.0ms	th
9.0ms	(*.f64 a1 a1)
5.0ms	(*.f64 a2 a2)

Results

Error	Segments	Branch
29.2b	3	`a1`
29.6b	3	`a2`
33.5b	6	`th`
29.5b	2	`(*.f64 a1 a1)`
30.0b	2	`(*.f64 a2 a2)`

Compiler

Compiled 57 to 39 computations (31.6% saved)

bsearch128.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	3.283685926523289e-118	3.75025687607531e-115
72.0ms	-5.264646709065342e-146	-4.617174832081757e-151

Results

52.0ms	68×	body	1024	valid
46.0ms	169×	body	256	valid
23.0ms	35×	body	512	valid

Compiler

Compiled 368 to 292 computations (20.7% saved)

regimes120.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)

Outputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 (sqrt.f64 1/2) a1) a1)

Calls

5 calls:

58.0ms	th
24.0ms	a1
16.0ms	a2
10.0ms	(*.f64 a2 a2)
9.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
29.2b	3	`a1`
29.6b	3	`a2`
33.5b	6	`th`
29.5b	2	`(*.f64 a1 a1)`
30.0b	2	`(*.f64 a2 a2)`

Compiler

Compiled 51 to 35 computations (31.4% saved)

bsearch160.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
84.0ms	3.283685926523289e-118	3.75025687607531e-115
76.0ms	-5.264646709065342e-146	-4.617174832081757e-151

Results

71.0ms	171×	body	256	valid
59.0ms	64×	body	1024	valid
22.0ms	37×	body	512	valid

Compiler

Compiled 368 to 292 computations (20.7% saved)

regimes85.0ms (0.2%)

Accuracy

Total -24.7b remaining (-84.5%)

Threshold costs -24.7b (-84.5%)

Counts

3 → 3

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))

Outputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))

Calls

5 calls:

33.0ms	th
17.0ms	a2
13.0ms	a1
10.0ms	(*.f64 a1 a1)
9.0ms	(*.f64 a2 a2)

Results

Error	Segments	Branch
29.2b	3	`a1`
29.6b	3	`a2`
33.5b	6	`th`
29.5b	2	`(*.f64 a1 a1)`
30.0b	2	`(*.f64 a2 a2)`

Compiler

Compiled 45 to 31 computations (31.1% saved)

bsearch142.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
52.0ms	3.283685926523289e-118	3.75025687607531e-115
90.0ms	-5.264646709065342e-146	-4.617174832081757e-151

Results

62.0ms	169×	body	256	valid
50.0ms	62×	body	1024	valid
21.0ms	41×	body	512	valid

Compiler

Compiled 368 to 292 computations (20.7% saved)

simplify42.0ms (0.1%)

Stop Event

1×

fuel

Compiler

Compiled 1336 to 811 computations (39.3% saved)

soundness0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

end479.0ms (1.3%)

Compiler: Compiled 1276 to 662 computations (48.1% saved)