Details

analyze327.0ms (2%)

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)

sample5.7s (34.2%)

Results

2.0s	5517×	body	256	valid
1.6s	1837×	body	1024	valid
866.0ms	1646×	body	1024	infinite
637.0ms	899×	body	512	valid
274.0ms	856×	body	512	infinite
245.0ms	1526×	body	256	infinite
5.0ms	2×	body	2048	infinite
2.0ms	3×	body	2048	valid

Bogosity

preprocess7.0ms (0%)

Algorithm

2×	egg-herbie

Rules

42×	`rational_best-simplify-2`
12×	`rational_best-simplify-1`
12×	`rational_best-simplify-44`
8×	`rational_best-simplify-47`
6×	`rational_best-simplify-130`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	156
1	58	156
2	78	156
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
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 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.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 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.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 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 th th)))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 th th)))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (+.f64 (.f64 th th) (*.f64 a1 a1)))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 th th)))

Symmetry

(sort a1 a2)

Compiler

Compiled 25 to 18 computations (28% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`rational_best-simplify-2`
4×	`rational_best-simplify-1`
4×	`rational_best-simplify-74`
4×	`rational_best-simplify-44`
2×	`rational_best-simplify-130`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	26	39
2	33	39

Stop Event

1×

saturated

Counts

1 → 3

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

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

eval1.0ms (0%)

Compiler: Compiled 48 to 25 computations (47.9% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

0.5b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
▶	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	0.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 42 to 17 computations (59.5% saved)

series8.0ms (0%)

Counts

3 → 64

Calls

18 calls:

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

rewrite109.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`rational_best-simplify-44`
772×	`rational_best-2`
772×	`rational_best-3`
772×	`rational_best-1`
770×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	117	73
2	387	73
3	1670	73

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 0 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 1 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 1 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 1 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 0 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))))

simplify182.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

994×	`rational_best-simplify-49`
920×	`rational_best-simplify-2`
868×	`rational_best-simplify-132`
788×	`rational_best-simplify-80`
656×	`rational_best-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	4122
1	385	4122
2	1179	4104
3	2704	4104
4	5055	4104

Stop Event

1×	node limit

Counts

126 → 109

Calls

Call 1

Inputs
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.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 (+.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 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (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 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 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 (.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 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)))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)
(+.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(-.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 1 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(+.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 0)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 1)
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(pow.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1)
(fabs.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(fabs.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(fabs.f64 (-.f64 0 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
(fabs.f64 (.f64 1 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(fabs.f64 (.f64 1 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
(fabs.f64 (.f64 1 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
(fabs.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))

Outputs
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))))
(+.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 (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2)))))
(+.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (pow.f64 th 4) (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 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (+.f64 (/.f64 1 (sqrt.f64 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))) (*.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)))))
(+.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))) (*.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)))))
(+.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (pow.f64 th 6) (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 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (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 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.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 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2)))) (+.f64 (/.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 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (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 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (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 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2)))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.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 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (.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 a1 2) (sqrt.f64 2)) (+.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2)))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.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 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2)))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (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 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (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 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)))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)
(/.f64 (cos.f64 th) (sqrt.f64 2))
(+.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(-.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (/.f64 1 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(/.f64 (cos.f64 th) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 0)
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 1)
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1)
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(/.f64 (.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(pow.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1)
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (-.f64 0 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (.f64 1 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (.f64 1 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (.f64 1 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(fabs.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(fabs.f64 (.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
✓	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)

series10.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite126.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1342×	`rational_best-simplify-54`
972×	`rational_best-2`
972×	`rational_best-3`
972×	`rational_best-1`
970×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	93
1	132	93
2	450	93
3	1977	93

Stop Event

1×	node limit

Counts

3 → 37

Calls

Call 1

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

Inputs

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.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 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 2 (.f64 a2 a2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 2 (.f64 a1 a1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.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 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 2 (*.f64 a2 a2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 2 (*.f64 a1 a1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (*.f64 (*.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 a2 a2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (*.f64 (*.f64 a2 a2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1)))))

simplify221.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1104×	`rational_best-simplify-44`
972×	`rational_best-simplify-80`
930×	`rational_best-simplify-78`
776×	`rational_best-simplify-132`
726×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	5159
1	297	5159
2	621	5159
3	2204	5159
4	3458	5159
5	5996	5159

Stop Event

1×	node limit

Counts

121 → 92

Calls

Call 1

Inputs
(/.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 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (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 (*.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 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (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 (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))
(/.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 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 4)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 2)) (+.f64 (.f64 (+.f64 (.f64 -1/720 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 6)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 4)) (/.f64 (pow.f64 a1 2) (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 (.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 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 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 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 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 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 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 0)
(+.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 0)
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 1)
(/.f64 (.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 a2 a2))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 2 (*.f64 a2 a2))) 2)
(pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 1)
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 0)
(+.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 0)
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 1)
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 2 (*.f64 a1 a1))) 2)
(pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 1)
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 1)
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (.f64 a2 a2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(.f64 (/.f64 (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (/.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2)) 2)
(pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)

Outputs
(/.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 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 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 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2)))) (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))))
(+.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))) (.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 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (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 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (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 (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(+.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (+.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2)))) (.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 (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (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 (*.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 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 th 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 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a1 2)) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a1) 2) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a1) 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a1 2)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a1) 2) (sqrt.f64 2)))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a1 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a1) 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (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 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (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 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a1 2)) (sqrt.f64 2)))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a1 2)) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a1) 2) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a1) 2) (sqrt.f64 2))) (+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a1 2)) (sqrt.f64 2)))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a1 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a1 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a1) 2) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a1 2)) (sqrt.f64 2))))))
(+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a1) 2) (sqrt.f64 2)))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a1 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a1 2)) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (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 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 (pow.f64 th 2) (.f64 -1/2 (+.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 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (.f64 (pow.f64 th 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 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (pow.f64 th 2) -1/2))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 4)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (pow.f64 th 4) (.f64 1/24 (+.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 th 2) (.f64 -1/2 (+.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 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (pow.f64 th 4) (.f64 1/24 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))) (.f64 -1/2 (.f64 (pow.f64 th 2) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (+.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 -1/2 (.f64 (pow.f64 th 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 (.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (pow.f64 th 2) -1/2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (.f64 (pow.f64 th 4) (+.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 (.f64 1/24 (.f64 (pow.f64 th 4) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (pow.f64 th 2) -1/2)))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 2)) (+.f64 (.f64 (+.f64 (.f64 -1/720 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 6)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 4)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(+.f64 (.f64 (pow.f64 th 2) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (pow.f64 th 4) (.f64 1/24 (+.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 th 6) (.f64 -1/720 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))))
(+.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (pow.f64 th 4) (.f64 1/24 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (.f64 -1/720 (.f64 (pow.f64 th 6) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))))
(+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (.f64 (pow.f64 th 4) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))) (+.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (pow.f64 th 6) -1/720))) (.f64 -1/2 (.f64 (pow.f64 th 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 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (.f64 (pow.f64 th 4) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (pow.f64 th 2) -1/2)) (.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (pow.f64 th 6) -1/720)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (pow.f64 th 2) -1/2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (pow.f64 th 6) -1/720))))))
(+.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 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (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 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (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 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (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 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 0)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 0)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (.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 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 2 (*.f64 a2 a2))) 2)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 0)
(.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))
(.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 0)
(.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 1)
(.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))))
(.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 2 (*.f64 a1 a1))) 2)
(.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 1)
(.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (.f64 a2 a2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2)) 2)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

eval517.0ms (3.1%)

Compiler: Compiled 8958 to 5058 computations (43.5% saved)

prune134.0ms (0.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	246	13	259
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	247	14	261

Error

0.2b

Counts

261 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	27.5b	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
	28.6b	(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
▶	0.5b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
	0.5b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
▶	0.5b	(+.f64 (.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
✓	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	50.1b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
	37.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	7.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
▶	0.7b	(.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
	37.3b	(.f64 (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
▶	25.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.6b	(.f64 (.f64 (/.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	0.5b	(.f64 (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Compiler

Compiled 814 to 465 computations (42.9% saved)

localize81.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 a2 2) (cos.f64 th))
	0.2b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
✓	0.3b	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 65 to 37 computations (43.1% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a2	@	inf	(*.f64 (pow.f64 a2 2) (cos.f64 th))
0.0ms	th	@	0	(*.f64 (pow.f64 a2 2) (cos.f64 th))
0.0ms	th	@	0	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
0.0ms	a2	@	0	(*.f64 (pow.f64 a2 2) (cos.f64 th))
0.0ms	a2	@	inf	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))

rewrite144.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`rational_best-simplify-57`
630×	`rational_best-simplify-43`
582×	`rational_best-2`
582×	`rational_best-1`
580×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	90	44
2	299	44
3	1291	44
4	5409	44

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (*.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.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 1 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.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 a2 2) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (/.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 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (*.f64 (/.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 a2 2) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.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 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.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 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (/.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 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 a2 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (*.f64 (pow.f64 a2 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 a2 2) (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 a2 2) (cos.f64 th)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th))))))))

simplify157.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1100×	`rational_best-simplify-80`
970×	`rational_best-simplify-2`
926×	`rational_best-simplify-78`
770×	`rational_best-simplify-132`
676×	`rational_best-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1394
1	193	1394
2	387	1376
3	1389	1376
4	2772	1376
5	4947	1376

Stop Event

1×	node limit

Counts

50 → 61

Calls

Call 1

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

Outputs
(/.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 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 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 -1/2 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.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 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (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 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (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 (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(+.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (+.f64 (/.f64 (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 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (pow.f64 (.f64 th a2) 2)))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (pow.f64 (.f64 a2 th) 2)))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))) (.f64 1/24 (.f64 (pow.f64 th 4) (pow.f64 a2 2)))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (pow.f64 (.f64 th a2) 2)) (.f64 1/24 (.f64 (pow.f64 a2 2) (pow.f64 th 4)))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (pow.f64 (.f64 a2 th) 2)) (.f64 (pow.f64 a2 2) (.f64 1/24 (pow.f64 th 4)))))
(+.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/2 (pow.f64 th 2)))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (pow.f64 a2 2))) (.f64 -1/720 (.f64 (pow.f64 th 6) (pow.f64 a2 2))))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (pow.f64 (.f64 th a2) 2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 a2 2) (pow.f64 th 4))) (.f64 -1/720 (.f64 (pow.f64 a2 2) (pow.f64 th 6))))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (pow.f64 (.f64 a2 th) 2)) (+.f64 (.f64 (pow.f64 a2 2) (.f64 1/24 (pow.f64 th 4))) (.f64 (pow.f64 a2 2) (.f64 -1/720 (pow.f64 th 6))))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (pow.f64 (.f64 a2 th) 2)) (.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 1/24 (pow.f64 th 4))))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (pow.f64 (.f64 a2 th) 2)) (.f64 (pow.f64 a2 2) (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6))))))
(+.f64 (.f64 -1/2 (pow.f64 (.f64 a2 th) 2)) (+.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6))))))
(+.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 0)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 0 (/.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 a2 2) (cos.f64 th)) (sqrt.f64 2)) 0)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(-.f64 0 (neg.f64 (/.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 a2 2) (cos.f64 th)) (sqrt.f64 2)) 1)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (/.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 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.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 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.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 1 (/.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 (.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 1 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.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 (/.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 1 (/.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 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.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 1 (/.f64 (/.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 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (/.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 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 (/.f64 1 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.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 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.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 (/.f64 (/.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 (.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 (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.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 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 (/.f64 1 (/.f64 (/.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 (.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))
(pow.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 1)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(neg.f64 (neg.f64 (/.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)) 0)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(+.f64 0 (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(-.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) 0)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(-.f64 0 (neg.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) 1)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (.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 (.f64 2 (.f64 (pow.f64 a2 2) (cos.f64 th))) 2)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(/.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 a2 2) (cos.f64 th)))) -2)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(pow.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) 1)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(neg.f64 (neg.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	0.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 38 to 19 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite169.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`rational_best-simplify-57`
740×	`rational_best-simplify-44`
658×	`rational_best-simplify-54`
630×	`rational_best-simplify-43`
592×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	106	46
2	326	46
3	1365	46
4	6518	46

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 1 (/.f64 0 (/.f64 1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 1 (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 0 (/.f64 1 (sqrt.f64 2)))) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (/.f64 0 (/.f64 1 (sqrt.f64 2)))) (/.f64 1 (sqrt.f64 2))) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 2) -2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) -2))))))

simplify226.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

972×	`rational_best-simplify-80`
894×	`rational_best-simplify-24`
886×	`rational_best-simplify-78`
816×	`rational_best-simplify-94`
742×	`rational_best-simplify-129`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	1441
1	94	1441
2	195	1441
3	533	1441
4	2732	1441
5	6768	1441

Stop Event

1×	node limit

Counts

47 → 29

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)))
(/.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)))
(/.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)))
(/.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 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 (/.f64 1 (sqrt.f64 2)) 0)
(+.f64 0 (/.f64 1 (sqrt.f64 2)))
(-.f64 (/.f64 1 (sqrt.f64 2)) 0)
(-.f64 0 (/.f64 (sqrt.f64 2) -2))
(*.f64 1 (/.f64 1 (sqrt.f64 2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) 1)
(*.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 1 (/.f64 0 (/.f64 1 (sqrt.f64 2)))))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 1 (/.f64 1 (sqrt.f64 2))))
(*.f64 (-.f64 1 (/.f64 0 (/.f64 1 (sqrt.f64 2)))) (/.f64 1 (sqrt.f64 2)))
(.f64 (/.f64 (-.f64 1 (/.f64 0 (/.f64 1 (sqrt.f64 2)))) (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))
(pow.f64 (/.f64 1 (sqrt.f64 2)) 1)
(neg.f64 (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(+.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(-.f64 0 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) -2))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(pow.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(neg.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) -2))

Outputs
(/.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 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 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 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 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 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 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 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 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 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 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 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 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 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 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 a1 2) (sqrt.f64 2)) (/.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 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 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 a1 2) (sqrt.f64 2)) (/.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 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 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 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 1 (sqrt.f64 2)) 0)
(/.f64 1 (sqrt.f64 2))
(+.f64 0 (/.f64 1 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(-.f64 (/.f64 1 (sqrt.f64 2)) 0)
(/.f64 1 (sqrt.f64 2))
(-.f64 0 (/.f64 (sqrt.f64 2) -2))
(neg.f64 (/.f64 (sqrt.f64 2) -2))
(*.f64 1 (/.f64 1 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) 1)
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 1 (/.f64 0 (/.f64 1 (sqrt.f64 2)))))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (sqrt.f64 2))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 1 (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (sqrt.f64 2))
(*.f64 (-.f64 1 (/.f64 0 (/.f64 1 (sqrt.f64 2)))) (/.f64 1 (sqrt.f64 2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 1 (/.f64 0 (/.f64 1 (sqrt.f64 2)))))
(.f64 (/.f64 (-.f64 1 (/.f64 0 (/.f64 1 (sqrt.f64 2)))) (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 1 (/.f64 0 (/.f64 1 (sqrt.f64 2)))))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))
(/.f64 1 (sqrt.f64 2))
(pow.f64 (/.f64 1 (sqrt.f64 2)) 1)
(/.f64 1 (sqrt.f64 2))
(neg.f64 (/.f64 (sqrt.f64 2) -2))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(-.f64 0 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) -2))
(neg.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) -2))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(pow.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(neg.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) -2))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	0.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))
✓	47.7b	(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))

Compiler

Compiled 253 to 34 computations (86.6% saved)

series4.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`rational_best-2`
1218×	`rational_best-1`
1216×	`rational_best-4`
1216×	`rational_best-3`
1216×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	383
1	178	275
2	593	83
3	2678	83

Stop Event

1×	node limit

Counts

3 → 41

Calls

Call 1

Inputs

(*.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))

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

(/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (fabs.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (fabs.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 0 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (*.f64 (sqrt.f64 2) (cos.f64 th)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 1 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1)))))

simplify198.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

906×	`rational_best-simplify-80`
816×	`rational_best-simplify-78`
784×	`rational_best-simplify-2`
770×	`rational_best-simplify-1`
682×	`rational_best-simplify-132`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	4719
1	289	4665
2	549	4665
3	1481	4659
4	3085	4659
5	5968	4659

Stop Event

1×	node limit

Counts

125 → 99

Calls

Call 1

Inputs
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 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 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (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 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 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 (.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 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 1 (pow.f64 a1 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))
(+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8))) (+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))))
(/.f64 1 (pow.f64 a2 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (/.f64 1 (pow.f64 a2 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2)))))
(/.f64 1 (pow.f64 a2 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (/.f64 1 (pow.f64 a2 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2)))))
(/.f64 1 (pow.f64 a2 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (/.f64 1 (pow.f64 a2 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2)))))
(/.f64 1 (pow.f64 a1 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))
(+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8))) (+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))))
(/.f64 1 (pow.f64 a1 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))
(+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8))) (+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 0)
(+.f64 0 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 0)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2) 2)
(pow.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1)
(fabs.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(fabs.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
(fabs.f64 (-.f64 0 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(+.f64 0 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 (sqrt.f64 2) (cos.f64 th)) 1)) 2)
(pow.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(+.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 0)
(+.f64 0 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(-.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 0)
(.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(pow.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 1)

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

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))
	0.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
✓	0.4b	(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 63 to 34 computations (46% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`rational_best-simplify-57`
776×	`rational_best-simplify-44`
636×	`rational_best-simplify-43`
606×	`rational_best-2`
606×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	93	48
2	309	48
3	1326	48
4	6018	48

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

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

Outputs

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

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

simplify189.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1758×	`rational_best-simplify-78`
1630×	`rational_best-simplify-47`
1038×	`rational_best-simplify-132`
1010×	`rational_best-simplify-80`
826×	`rational_best-simplify-76`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	1942
1	151	1942
2	263	1942
3	581	1942
4	2728	1942
5	6714	1942

Stop Event

1×	node limit

Counts

66 → 49

Calls

Call 1

Inputs
(/.f64 a1 (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 -1/720 (/.f64 (.f64 a1 (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (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))
(/.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 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (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 (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 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 0)
(+.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))
(-.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 0)
(-.f64 0 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 1)
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))
(/.f64 (.f64 a1 (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 1)
(neg.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 0)
(+.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 0)
(-.f64 0 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 1)
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 2) (cos.f64 th)))) 2)
(pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 1)
(neg.f64 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))))

Outputs
(/.f64 a1 (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2))))
(+.f64 (/.f64 a1 (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 a1 (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2)))) (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 -1/720 (/.f64 (.f64 a1 (pow.f64 th 6)) (sqrt.f64 2))))))
(+.f64 (+.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 -1/720 (/.f64 (.f64 a1 (pow.f64 th 6)) (sqrt.f64 2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 a1 (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 a1 (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (+.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2)))) (+.f64 (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 a1 (pow.f64 th 6)) (sqrt.f64 2)))))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 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 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a1) 2) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 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 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a1 2)) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a1) 2) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (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 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (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 (pow.f64 (.f64 th a1) 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a1 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a1 2)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a1 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a1 2)) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a1 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a1 2)) (sqrt.f64 2)))) (.f64 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a1 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a1 2)) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a1 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a1 2)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 0)
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(-.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 0)
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(-.f64 0 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 1)
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 a1 (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 1)
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(neg.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 0)
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(+.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 0)
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(-.f64 0 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 1)
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 (sqrt.f64 2) (cos.f64 th)))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (*.f64 a1 a1))) 2)
(pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 1)
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(neg.f64 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))))
(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
✓	0.6b	(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))
✓	0.8b	(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))

Compiler

Compiled 94 to 48 computations (48.9% saved)

series5.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1128×	`rational_best-simplify-47`
1096×	`rational_best-2`
1096×	`rational_best-3`
1096×	`rational_best-1`
1094×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	141
1	152	95
2	504	95
3	2237	95

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

Inputs

(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))

(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (fabs.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 0 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 0 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (fabs.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1)))))

simplify414.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1254×	`rational_best-simplify-78`
1018×	`rational_best-simplify-80`
974×	`rational_best-simplify-2`
820×	`rational_best-simplify-132`
652×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	3754
1	304	3694
2	533	3664
3	1393	3664
4	2825	3664
5	5839	3664

Stop Event

1×	node limit

Counts

96 → 92

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 (sqrt.f64 2) 2))
(+.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) (*.f64 -1 (/.f64 (pow.f64 th 2) (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 th 2) (pow.f64 (sqrt.f64 2) 2))) (.f64 1/3 (/.f64 (pow.f64 th 4) (pow.f64 (sqrt.f64 2) 2)))))
(+.f64 (.f64 -2/45 (/.f64 (pow.f64 th 6) (pow.f64 (sqrt.f64 2) 2))) (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 th 2) (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/3 (/.f64 (pow.f64 th 4) (pow.f64 (sqrt.f64 2) 2))))))
(/.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (sqrt.f64 2) 2))
(/.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (sqrt.f64 2) 2))
(/.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (sqrt.f64 2) 2))
(/.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (sqrt.f64 2) 2))
(/.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (sqrt.f64 2) 2))
(/.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (sqrt.f64 2) 2))
(/.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (sqrt.f64 2) 2))
(/.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (sqrt.f64 2) 2))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (sqrt.f64 2)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2)))) (.f64 1/48 (sqrt.f64 2)))) (pow.f64 th 6))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4))))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.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 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (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 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 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 (.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 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 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(+.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(-.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (.f64 2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(fabs.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(fabs.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fabs.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (fabs.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(fabs.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (fabs.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(+.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(+.f64 0 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(-.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(*.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (.f64 (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 (/.f64 (/.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (/.f64 (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(pow.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(+.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)

Outputs
(/.f64 1 (pow.f64 (sqrt.f64 2) 2))
1/2
(+.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) (*.f64 -1 (/.f64 (pow.f64 th 2) (pow.f64 (sqrt.f64 2) 2))))
(+.f64 1/2 (*.f64 -1 (/.f64 (pow.f64 th 2) 2)))
(+.f64 1/2 (neg.f64 (/.f64 (pow.f64 th 2) 2)))
(+.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 th 2) (pow.f64 (sqrt.f64 2) 2))) (.f64 1/3 (/.f64 (pow.f64 th 4) (pow.f64 (sqrt.f64 2) 2)))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 th 4) 2)) (+.f64 1/2 (.f64 -1 (/.f64 (pow.f64 th 2) 2))))
(+.f64 1/2 (+.f64 (neg.f64 (/.f64 (pow.f64 th 2) 2)) (*.f64 1/3 (/.f64 (pow.f64 th 4) 2))))
(+.f64 (.f64 -2/45 (/.f64 (pow.f64 th 6) (pow.f64 (sqrt.f64 2) 2))) (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 th 2) (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/3 (/.f64 (pow.f64 th 4) (pow.f64 (sqrt.f64 2) 2))))))
(+.f64 (+.f64 (.f64 1/3 (/.f64 (pow.f64 th 4) 2)) (+.f64 1/2 (.f64 -1 (/.f64 (pow.f64 th 2) 2)))) (*.f64 -2/45 (/.f64 (pow.f64 th 6) 2)))
(+.f64 1/2 (+.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 th 2) 2)) (.f64 1/3 (/.f64 (pow.f64 th 4) 2))) (.f64 -2/45 (/.f64 (pow.f64 th 6) 2))))
(+.f64 (neg.f64 (/.f64 (pow.f64 th 2) 2)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 th 4) 2)) (+.f64 1/2 (.f64 -2/45 (/.f64 (pow.f64 th 6) 2)))))
(+.f64 1/2 (+.f64 (.f64 1/3 (/.f64 (pow.f64 th 4) 2)) (+.f64 (neg.f64 (/.f64 (pow.f64 th 2) 2)) (.f64 -2/45 (/.f64 (pow.f64 th 6) 2)))))
(/.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (sqrt.f64 2) 2))
(/.f64 (pow.f64 (cos.f64 th) 2) 2)
(/.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (sqrt.f64 2) 2))
(/.f64 (pow.f64 (cos.f64 th) 2) 2)
(/.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (sqrt.f64 2) 2))
(/.f64 (pow.f64 (cos.f64 th) 2) 2)
(/.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (sqrt.f64 2) 2))
(/.f64 (pow.f64 (cos.f64 th) 2) 2)
(/.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (sqrt.f64 2) 2))
(/.f64 (pow.f64 (cos.f64 th) 2) 2)
(/.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (sqrt.f64 2) 2))
(/.f64 (pow.f64 (cos.f64 th) 2) 2)
(/.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (sqrt.f64 2) 2))
(/.f64 (pow.f64 (cos.f64 th) 2) 2)
(/.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (sqrt.f64 2) 2))
(/.f64 (pow.f64 (cos.f64 th) 2) 2)
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4)))))
(+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/24) (.f64 (sqrt.f64 2) -1/4)) (.f64 -1 (pow.f64 th 4))) (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 th 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 th 2))) (neg.f64 (.f64 (pow.f64 th 4) (.f64 (sqrt.f64 2) -5/24)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 th 2))) (.f64 (pow.f64 th 4) (.f64 (sqrt.f64 2) 5/24))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (sqrt.f64 2)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2)))) (.f64 1/48 (sqrt.f64 2)))) (pow.f64 th 6))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4))))))
(+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 th 2))) (.f64 (+.f64 (.f64 (sqrt.f64 2) 1/24) (.f64 (sqrt.f64 2) -1/4)) (.f64 -1 (pow.f64 th 4)))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) -1/720) (+.f64 (.f64 1/2 (+.f64 (.f64 (sqrt.f64 2) 1/24) (.f64 (sqrt.f64 2) -1/4))) (.f64 (sqrt.f64 2) 1/48))) (*.f64 -1 (pow.f64 th 6))) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 th 2))) (neg.f64 (.f64 (pow.f64 th 4) (.f64 (sqrt.f64 2) -5/24)))) (neg.f64 (.f64 (pow.f64 th 6) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) -5/24)) (+.f64 (.f64 (sqrt.f64 2) 1/48) (*.f64 (sqrt.f64 2) -1/720)))))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 th 4) (.f64 (sqrt.f64 2) 5/24)) (+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 th 2))) (.f64 (+.f64 (.f64 (sqrt.f64 2) -5/48) (*.f64 (sqrt.f64 2) 7/360)) (neg.f64 (pow.f64 th 6))))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 th 4) (.f64 (sqrt.f64 2) 5/24)) (+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 th 2))) (.f64 (pow.f64 th 6) (neg.f64 (+.f64 (.f64 (sqrt.f64 2) -5/48) (*.f64 (sqrt.f64 2) 7/360)))))))
(+.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 th 2))) (.f64 (pow.f64 th 4) (.f64 (sqrt.f64 2) 5/24))) (.f64 (pow.f64 th 6) (neg.f64 (+.f64 (.f64 (sqrt.f64 2) -5/48) (*.f64 (sqrt.f64 2) 7/360))))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.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 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (+.f64 (/.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 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (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 (/.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 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2)))) (+.f64 (/.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 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (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 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2)))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.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 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2)))))
(+.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (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 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (.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 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2)))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (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 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (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 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (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 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (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 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (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 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (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 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(-.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(fabs.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(fabs.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(fabs.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (fabs.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(fabs.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (fabs.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 0 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(-.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (.f64 (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(pow.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

eval691.0ms (4.1%)

Compiler: Compiled 24555 to 13186 computations (46.3% saved)

prune364.0ms (2.2%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	619	14	633
Fresh	4	4	8
Picked	1	0	1
Done	3	2	5
Total	627	20	647

Error

0.0b

Counts

647 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	40.6b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
▶	40.7b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	27.5b	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
	28.6b	(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
▶	0.4b	(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
▶	25.7b	(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
	0.4b	(/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th))) 2)
	0.4b	(+.f64 (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (.f64 a1 a1))) 2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.4b	(+.f64 (/.f64 (.f64 a1 (.f64 a1 (.f64 (sqrt.f64 2) (cos.f64 th)))) 2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
▶	0.5b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
	12.7b	(+.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
✓	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	7.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
	0.5b	(.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (cos.f64 th) 2) 2)))
	40.6b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
✓	25.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	55.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
	48.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	32.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
	0.6b	(.f64 (.f64 (/.f64 (/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (.f64 (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))

Compiler

Compiled 957 to 594 computations (37.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
	0.0b	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	0.2b	(*.f64 (sqrt.f64 2) (cos.f64 th))
✓	0.3b	(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))

Compiler

Compiled 57 to 23 computations (59.6% saved)

series6.0ms (0%)

Counts

3 → 76

Calls

21 calls:

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

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`rational_best-2`
868×	`rational_best-3`
868×	`rational_best-1`
866×	`rational_best-4`
866×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	99
1	128	99
2	428	99
3	1862	99

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 2 (*.f64 (sqrt.f64 2) (cos.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (*.f64 (sqrt.f64 2) (cos.f64 th)) (*.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (cos.f64 th)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 1 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (*.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) 1)))))

simplify130.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1130×	`rational_best-simplify-2`
1100×	`rational_best-simplify-132`
1078×	`rational_best-simplify-54`
768×	`rational_best-simplify-80`
656×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	5230
1	271	4610
2	607	4398
3	1607	4398
4	3916	4398

Stop Event

1×	node limit

Counts

106 → 104

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 th 4))) (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2)))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 th 4))) (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))))))
(+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 -1/1440 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 0)
(+.f64 0 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 0)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 1)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (*.f64 (sqrt.f64 2) (cos.f64 th)))) 2)
(pow.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 1)
(+.f64 (*.f64 (sqrt.f64 2) (cos.f64 th)) 0)
(+.f64 0 (*.f64 (sqrt.f64 2) (cos.f64 th)))
(-.f64 (*.f64 (sqrt.f64 2) (cos.f64 th)) 0)
(/.f64 (*.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(/.f64 (.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 (sqrt.f64 2) (cos.f64 th)) (*.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(pow.f64 (*.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) 0)
(+.f64 0 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) 0)
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) 1)
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))
(.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(.f64 (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))
(.f64 (/.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(pow.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) 1)

Outputs
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (.f64 (sqrt.f64 2) (.f64 -1/2 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 2)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 -1/2 (pow.f64 th 2))) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 -1/2 (pow.f64 th 2)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (+.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 2) (.f64 1/24 (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 4))))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/24 (pow.f64 th 4))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (pow.f64 th 2))))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2)))) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2))))))
(.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a2 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2)))))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))))))
(+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 2) (.f64 1/24 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 4))))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (.f64 (sqrt.f64 2) (.f64 -1/720 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 6))))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/24 (pow.f64 th 4))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (pow.f64 th 2))))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/720 (pow.f64 th 6))) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2))))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 -1/720 (pow.f64 th 6))))))
(+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2))))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 -1/720 (pow.f64 th 6))))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -1/2 (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 th 4))) (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 2) (.f64 1/24 (pow.f64 th 4)))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/2 (pow.f64 th 2)))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 th 4))) (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))))))
(+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 2) (.f64 1/24 (pow.f64 th 4)))) (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -1/720 (pow.f64 th 6)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2)))) (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 -1/720 (pow.f64 th 6)))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2))))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) (cos.f64 th))) 1/2)
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 1/2 (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 2) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 1/2 (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 2) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 1/2 (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 1/2 (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 2) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) (cos.f64 th))) 1/2)
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) (cos.f64 th))) 1/2)
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 2)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/4 (pow.f64 th 2))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 1/2 (*.f64 (pow.f64 th 2) -1/4))))
(+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 2)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (.f64 (sqrt.f64 2) (.f64 1/48 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 4))))))
(+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 th 2)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/48 (pow.f64 th 4))) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (pow.f64 th 4) 1/48)) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 1/2 (*.f64 (pow.f64 th 2) -1/4)))))
(+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 -1/1440 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))))))
(+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 2) (.f64 -1/1440 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 6))))) (+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (.f64 (sqrt.f64 2) (.f64 1/48 (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 4))))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/1440 (pow.f64 th 6))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/4 (pow.f64 th 2))))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/48 (pow.f64 th 4))) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 1/2 (.f64 (pow.f64 th 4) 1/48))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 (pow.f64 th 2) -1/4) (.f64 (pow.f64 th 6) -1/1440)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 (pow.f64 th 6) -1/1440) (.f64 (pow.f64 th 2) -1/4))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 1/2 (.f64 (pow.f64 th 4) 1/48)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (cos.f64 th) 1/2)))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 0)
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+.f64 0 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 0)
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 1)
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (*.f64 (sqrt.f64 2) (cos.f64 th)))) 2)
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(pow.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 1)
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+.f64 (*.f64 (sqrt.f64 2) (cos.f64 th)) 0)
(*.f64 (sqrt.f64 2) (cos.f64 th))
(+.f64 0 (*.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (sqrt.f64 2) (cos.f64 th))
(-.f64 (*.f64 (sqrt.f64 2) (cos.f64 th)) 0)
(*.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (*.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(*.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 (sqrt.f64 2) (cos.f64 th)) (*.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(*.f64 (sqrt.f64 2) (cos.f64 th))
(pow.f64 (*.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(*.f64 (sqrt.f64 2) (cos.f64 th))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) 0)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(+.f64 0 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) 0)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) 1)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(pow.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) 1)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
	0.0b	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	0.4b	(.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Compiler

Compiled 43 to 17 computations (60.5% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite125.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`rational_best-simplify-57`
740×	`rational_best-simplify-44`
662×	`rational_best-simplify-43`
642×	`rational_best-simplify-54`
612×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	101	64
2	327	64
3	1367	64
4	6660	64

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) -2))))))

simplify123.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1258×	`rational_best-simplify-129`
1030×	`rational_best-simplify-49`
990×	`rational_best-simplify-47`
930×	`rational_best-simplify-80`
866×	`rational_best-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	2856
1	142	2822
2	294	2822
3	983	2822
4	4065	2822

Stop Event

1×	node limit

Counts

78 → 52

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (pow.f64 a1 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a1 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a1 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))
(+.f64 0 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(-.f64 0 (neg.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(neg.f64 (neg.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2) 0)
(+.f64 0 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2) 0)
(-.f64 0 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) -2))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) 1)
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))
(.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))))
(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(pow.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2) 1)
(neg.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) -2))

Outputs
(*.f64 (sqrt.f64 2) (pow.f64 a1 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a1 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a1 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 a1 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) 1/2))
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 a2 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) 1/2))
(.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 a2 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) 1/2))
(.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 a2 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) 1/2))
(.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 a1 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) 1/2))
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 a1 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) 1/2))
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) 1/2)
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) 2)
(.f64 2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))
(+.f64 0 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(-.f64 0 (neg.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(neg.f64 (neg.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2) 0)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(+.f64 0 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2) 0)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(-.f64 0 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) -2))
(neg.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) -2))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) 1)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(pow.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2) 1)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(neg.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) -2))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1634×	`rational_best-2`
1634×	`rational_best-3`
1634×	`rational_best-1`
1632×	`rational_best-4`
1630×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	65	17
2	211	17
3	862	17
4	3391	17

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 1)))))

simplify149.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1082×	`rational_best-simplify-80`
1020×	`rational_best-simplify-129`
1010×	`rational_best-simplify-2`
976×	`rational_best-simplify-78`
908×	`rational_best-simplify-94`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	374
1	72	374
2	192	374
3	931	374
4	2118	374
5	4319	374

Stop Event

1×	node limit

Counts

22 → 23

Calls

Call 1

Inputs
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 0)
(+.f64 0 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 0)
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 1)
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(*.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(.f64 (.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(.f64 (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(.f64 (/.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(pow.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 1)

Outputs
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 0 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(pow.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	0.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))
✓	6.8b	(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))

Compiler

Compiled 112 to 31 computations (72.3% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`rational_best-simplify-54`
1010×	`rational_best-simplify-47`
990×	`rational_best-2`
990×	`rational_best-3`
990×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	142
1	152	88
2	506	88
3	2136	88

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs

(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (neg.f64 (/.f64 0 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (/.f64 0 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 0 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (+.f64 (/.f64 0 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (/.f64 -1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (fabs.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (fabs.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (fabs.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (fabs.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (fabs.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (fabs.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (fabs.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (fabs.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (fabs.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (fabs.f64 (/.f64 -1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (neg.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (neg.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (neg.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (fabs.f64 (/.f64 -1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (neg.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (fabs.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (fabs.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (fabs.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (fabs.f64 (/.f64 -1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (fabs.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (fabs.f64 (/.f64 -1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (*.f64 (sqrt.f64 2) (cos.f64 th)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))))

simplify213.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1370×	`rational_best-simplify-2`
972×	`rational_best-simplify-43`
716×	`rational_best-simplify-132`
618×	`rational_best-simplify-1`
596×	`rational_best-simplify-24`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	184	6761
1	366	6727
2	744	6689
3	1965	6581
4	4289	6577
5	7264	6577

Stop Event

1×	node limit

Counts

117 → 101

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(/.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 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (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 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 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 (.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 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 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))) 0)
(+.f64 0 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (/.f64 0 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))) 0)
(-.f64 0 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 0 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 0 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (+.f64 (/.f64 0 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))) 1)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) 2)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) -2)
(pow.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))) 1)
(neg.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))))
(fabs.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))))
(fabs.f64 (.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (.f64 (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (.f64 (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (fabs.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (fabs.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (.f64 (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (fabs.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (.f64 (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(+.f64 0 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 (sqrt.f64 2) (cos.f64 th)) 1)) 2)
(pow.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(/.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 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a2 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 -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 (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 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (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 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 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 -1/2 (/.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 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 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (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 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (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 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2)))))
(+.f64 (+.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 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (+.f64 (.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 a1 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 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 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 (+.f64 (/.f64 (pow.f64 a1 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 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (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 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 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 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (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 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 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))) 0)
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(+.f64 0 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (/.f64 0 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))) 0)
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(-.f64 0 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 0 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 0 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (+.f64 (/.f64 0 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(-.f64 (.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 0 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))) 1)
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) 2)
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) -2)
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(pow.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))) 1)
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(neg.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fabs.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
(fabs.f64 (.f64 (.f64 (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (.f64 (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (fabs.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (fabs.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (.f64 (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (fabs.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (.f64 (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fabs.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 0 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 (sqrt.f64 2) (cos.f64 th)) 1)) 2)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(pow.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
	0.2b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
✓	0.4b	(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 63 to 34 computations (46% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	th	@	-inf	(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
1.0ms	th	@	inf	(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
1.0ms	a2	@	0	(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
0.0ms	th	@	0	(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
0.0ms	a2	@	inf	(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))

rewrite108.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1094×	`rational_best-simplify-57`
690×	`rational_best-simplify-44`
630×	`rational_best-simplify-43`
588×	`rational_best-2`
588×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	91	48
2	300	48
3	1303	48
4	5595	48

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.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 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))))))))

simplify163.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1774×	`rational_best-simplify-78`
1072×	`rational_best-simplify-82`
1034×	`rational_best-simplify-132`
1010×	`rational_best-simplify-80`
826×	`rational_best-simplify-76`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	1990
1	160	1990
2	279	1990
3	613	1990
4	2807	1990
5	5777	1990

Stop Event

1×	node limit

Counts

68 → 59

Calls

Call 1

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

Outputs
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2)))
(+.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2)))) (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 a2 (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (+.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2)))) (.f64 -1/720 (/.f64 (.f64 a2 (pow.f64 th 6)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 a2 (pow.f64 th 6)) (sqrt.f64 2)))))
(+.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 a2 (pow.f64 th 6)) (sqrt.f64 2)))) (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 a2 (pow.f64 th 6)) (sqrt.f64 2))))))
(+.f64 (+.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2)))) (+.f64 (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 a2 (pow.f64 th 6)) (sqrt.f64 2)))))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (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 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 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 -1/2 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (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 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a2) 2) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2))))))
(+.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2))))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 0 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(-.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(-.f64 0 (neg.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 a2 (.f64 (cos.f64 th) (sqrt.f64 2))) 2)
(/.f64 (.f64 (neg.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2) -2)
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(pow.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(neg.f64 (neg.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 0)
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(+.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 0)
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(-.f64 0 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 1)
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.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 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (*.f64 a2 a2) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 2))) 2)
(/.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 2)
(/.f64 (.f64 a2 (.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(/.f64 (.f64 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) 2) -2)
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 1)
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(neg.f64 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))

eval256.0ms (1.5%)

Compiler: Compiled 20972 to 10050 computations (52.1% saved)

prune127.0ms (0.8%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	589	6	595
Fresh	2	11	13
Picked	1	0	1
Done	0	6	6
Total	592	23	615

Error

0.0b

Counts

615 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	40.6b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
✓	40.7b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	27.5b	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
▶	28.6b	(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
✓	0.4b	(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
	50.0b	(/.f64 (.f64 (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)
	7.2b	(/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
✓	25.7b	(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
▶	0.4b	(/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th))) 2)
	0.4b	(+.f64 (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (.f64 a1 a1))) 2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.4b	(+.f64 (/.f64 (.f64 a1 (.f64 a1 (.f64 (sqrt.f64 2) (cos.f64 th)))) 2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.5b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 a2 (.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 2)))) 2))
	12.8b	(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
	12.7b	(+.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
▶	32.3b	(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
✓	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	7.1b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
✓	7.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
▶	40.6b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
✓	25.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	55.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
	48.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
▶	32.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))

Compiler

Compiled 1115 to 591 computations (47% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	0.0b	(/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th))) 2)
✓	0.1b	(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)))

Compiler

Compiled 62 to 19 computations (69.4% saved)

series3.0ms (0%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Expression
0.0ms	th	@	(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
0.0ms	th	@	(/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th))) 2)
0.0ms	th	@	(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)))
0.0ms	a2	@	(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
0.0ms	a2	@	(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)))

rewrite152.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`rational_best-2`
868×	`rational_best-1`
866×	`rational_best-4`
866×	`rational_best-3`
866×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	113
1	128	113
2	428	113
3	1861	113

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

Inputs

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

(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 2 (cos.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 2 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 1 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (*.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) 1)))))

simplify261.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1130×	`rational_best-simplify-2`
1044×	`rational_best-simplify-54`
1040×	`rational_best-simplify-132`
746×	`rational_best-simplify-80`
646×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	6584
1	281	5628
2	648	5430
3	1672	5430
4	3925	5430
5	7781	5430

Stop Event

1×	node limit

Counts

138 → 123

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 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 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))) (.f64 -1/720 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))))))
(*.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 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))))))
(+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 -1/1440 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 0)
(+.f64 0 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 0)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 1)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 2 (cos.f64 th)))) 2)
(pow.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 1)
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) 0)
(+.f64 0 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) 0)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) 1)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (cos.f64 th))) 2)
(pow.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) 1)
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) 0)
(+.f64 0 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) 0)
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) 1)
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))
(.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(.f64 (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))
(.f64 (/.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(pow.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) 1)

Outputs
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (pow.f64 th 2)))))
(.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a2 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 -1/2 (pow.f64 th 2))))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 (sqrt.f64 2) (*.f64 -1/2 (pow.f64 th 2))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 -1/2 (pow.f64 th 2)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (pow.f64 th 2)))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 1/24 (pow.f64 th 4))))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/2 (pow.f64 th 2))))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (pow.f64 th 2)) (.f64 1/24 (pow.f64 th 4))))))
(.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (pow.f64 th 2)) (.f64 1/24 (pow.f64 th 4)))))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))))))
(+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (pow.f64 th 2)))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/24 (pow.f64 th 4))))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/720 (pow.f64 th 6))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2))))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 -1/720 (pow.f64 th 6))) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/720 (pow.f64 th 6))) (*.f64 -1/2 (pow.f64 th 2))))))
(.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a2 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (pow.f64 th 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6))))))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 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 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (pow.f64 th 2))) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a2 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (pow.f64 th 2)))))
(+.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (pow.f64 th 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (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 (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (pow.f64 th 2))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/24 (pow.f64 th 4)))) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (pow.f64 a1 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/2 (pow.f64 th 2)))) (pow.f64 a2 2)))
(+.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (pow.f64 th 2)) (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (pow.f64 th 2)) (*.f64 1/24 (pow.f64 th 4))))))
(+.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 (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))) (.f64 -1/720 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))))))
(+.f64 (pow.f64 a2 2) (+.f64 (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/24 (pow.f64 th 4))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/720 (pow.f64 th 6)))) (+.f64 (pow.f64 a1 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (pow.f64 th 2))))))
(+.f64 (pow.f64 a1 2) (+.f64 (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (pow.f64 th 2))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 1/24 (pow.f64 th 4))))) (pow.f64 a2 2)))
(+.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/720 (pow.f64 th 6))) (.f64 -1/2 (pow.f64 th 2)))))
(+.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a2 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (pow.f64 th 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/720 (pow.f64 th 6)))))))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) (cos.f64 th))) 1/2)
(.f64 (pow.f64 a1 2) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 1/2 (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 2) 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 1/2 (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 2) 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 1/2 (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 1/2 (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 2) 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) (cos.f64 th))) 1/2)
(.f64 (pow.f64 a1 2) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) (cos.f64 th))) 1/2)
(.f64 (pow.f64 a1 2) (.f64 1/2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 2)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/4 (pow.f64 th 2))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (*.f64 (pow.f64 th 2) -1/4) 1/2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 1/2 (*.f64 (pow.f64 th 2) -1/4))))
(+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 2)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (.f64 (sqrt.f64 2) (.f64 1/48 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 4))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/4 (pow.f64 th 2)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/48 (pow.f64 th 4))) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 (pow.f64 th 2) -1/4) 1/2)) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (*.f64 (pow.f64 th 4) 1/48))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (pow.f64 th 2) -1/4)) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 1/2 (*.f64 (pow.f64 th 4) 1/48)))))
(+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 -1/1440 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 1/48 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 4)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 -1/1440 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 6)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 2)))))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/1440 (pow.f64 th 6))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/4 (pow.f64 th 2))))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/48 (pow.f64 th 4))) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 1/2 (.f64 (pow.f64 th 4) 1/48))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 (pow.f64 th 6) -1/1440) (.f64 (pow.f64 th 2) -1/4)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (.f64 (pow.f64 th 2) -1/4) (.f64 (pow.f64 th 6) -1/1440))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 1/2 (.f64 (pow.f64 th 4) 1/48)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 1/2)))
(.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 1/2)))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 0)
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+.f64 0 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 0)
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 1)
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 2 (cos.f64 th)))) 2)
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(pow.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 1)
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) 0)
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 0 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) 0)
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) 1)
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (cos.f64 th))) 2)
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(pow.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) 1)
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) 0)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(+.f64 0 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) 0)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2) 1)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (cos.f64 th))) 2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(pow.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2) 1)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	0.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
	1.0b	(/.f64 1 (sqrt.f64 2))
	6.8b	(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))

Compiler

Compiled 107 to 32 computations (70.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite260.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`rational_best-simplify-54`
866×	`rational_best-simplify-47`
810×	`rational_best-4`
810×	`rational_best-2`
810×	`rational_best-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	89
1	136	35
2	445	35
3	1835	35

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1)))))

simplify143.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1454×	`rational_best-simplify-2`
1230×	`rational_best-simplify-80`
1168×	`rational_best-simplify-82`
1136×	`rational_best-simplify-74`
1100×	`rational_best-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	1117
1	40	1117
2	69	1117
3	141	1117
4	419	1117
5	2775	1117
6	5033	1117
7	6143	1117
8	7926	1117

Stop Event

1×	node limit

Counts

31 → 12

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)))
(/.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)))
(/.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)))
(/.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 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 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(+.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(pow.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)

Outputs
(/.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 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 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 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 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 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 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 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 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 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 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 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 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 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 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 a1 2) (sqrt.f64 2)) (/.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 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 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 a1 2) (sqrt.f64 2)) (/.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 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 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 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
(pow.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 23 to 20 computations (13% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite413.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1782×	`rational_best-4`
1782×	`rational_best-2`
1782×	`rational_best-3`
1782×	`rational_best-1`
1782×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	79	23
2	238	23
3	989	23
4	3784	23

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 2) (pow.f64 a2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2) 1)))))

simplify293.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2022×	`rational_best-simplify-80`
1662×	`rational_best-simplify-78`
1132×	`rational_best-simplify-47`
1040×	`rational_best-simplify-82`
1008×	`rational_best-simplify-74`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	409
1	26	409
2	54	409
3	115	409
4	342	409
5	2496	409
6	4867	409
7	6924	409
8	7430	409
9	7431	409
10	7432	409
11	7432	409

Stop Event

1×	node limit

Counts

19 → 10

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))
(/.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))
(/.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))
(+.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2) 0)
(+.f64 0 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2))
(-.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2) 0)
(/.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2) 1)
(/.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2) 1)

Outputs
(/.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))
(/.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))
(/.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))
(+.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2) 0)
(/.f64 (*.f64 (pow.f64 a2 2) (sqrt.f64 2)) 2)
(+.f64 0 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2))
(/.f64 (*.f64 (pow.f64 a2 2) (sqrt.f64 2)) 2)
(-.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2) 0)
(/.f64 (*.f64 (pow.f64 a2 2) (sqrt.f64 2)) 2)
(/.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2) 1)
(/.f64 (*.f64 (pow.f64 a2 2) (sqrt.f64 2)) 2)
(/.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(/.f64 (/.f64 (.f64 (pow.f64 a2 2) (sqrt.f64 2)) 2) (/.f64 (.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2)
(/.f64 (*.f64 (pow.f64 a2 2) (sqrt.f64 2)) 2)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2) 1)
(/.f64 (*.f64 (pow.f64 a2 2) (sqrt.f64 2)) 2)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

12 calls:

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

rewrite133.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`rational_best-simplify-57`
630×	`rational_best-simplify-43`
582×	`rational_best-2`
582×	`rational_best-1`
580×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	90	44
2	299	44
3	1291	44
4	5409	44

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 a1 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (pow.f64 a1 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 a1 2) (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 a1 2) (cos.f64 th)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th))))))))

simplify332.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1100×	`rational_best-simplify-80`
964×	`rational_best-simplify-2`
926×	`rational_best-simplify-78`
770×	`rational_best-simplify-132`
732×	`rational_best-simplify-94`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	1190
1	190	1184
2	380	1172
3	1322	1172
4	2709	1172
5	4883	1172

Stop Event

1×	node limit

Counts

38 → 58

Calls

Call 1

Inputs
(/.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 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (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)))))
(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 (pow.f64 a1 2) (.f64 1/24 (.f64 (pow.f64 a1 2) (pow.f64 th 4)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 a1 2) (pow.f64 th 6))) (+.f64 (pow.f64 a1 2) (.f64 1/24 (.f64 (pow.f64 a1 2) (pow.f64 th 4))))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) 0)
(+.f64 0 (/.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)) 0)
(-.f64 0 (neg.f64 (/.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)) 1)
(.f64 (/.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 a1 2) (cos.f64 th)) (sqrt.f64 2))))
(.f64 (/.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 1 (/.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 1 (/.f64 (/.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 1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (/.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 1 (/.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 a1 2) (cos.f64 th)) (sqrt.f64 2))))
(.f64 (.f64 (/.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 1 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.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 1 (/.f64 (/.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 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (/.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 (.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 (/.f64 1 (/.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 a1 2) (cos.f64 th)) (sqrt.f64 2)))) (.f64 (/.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 (.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 (/.f64 (/.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 (.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 (.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.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 (.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 (/.f64 1 (/.f64 (/.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 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))))
(pow.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) 1)
(neg.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))))
(+.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) 0)
(+.f64 0 (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(-.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) 0)
(-.f64 0 (neg.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) 1)
(/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(/.f64 (.f64 2 (.f64 (pow.f64 a1 2) (cos.f64 th))) 2)
(/.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 a1 2) (cos.f64 th)))) -2)
(pow.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) 1)
(neg.f64 (neg.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th))))

Outputs
(/.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 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a1) 2) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 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 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 (.f64 th a1) 2) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (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 (pow.f64 (.f64 th a1) 2) (sqrt.f64 2))) (+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2)))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2)))) (.f64 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(pow.f64 a1 2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(+.f64 (pow.f64 a1 2) (.f64 -1/2 (pow.f64 (.f64 th a1) 2)))
(+.f64 (pow.f64 a1 2) (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (pow.f64 a1 2) (.f64 1/24 (.f64 (pow.f64 a1 2) (pow.f64 th 4)))))
(+.f64 (.f64 -1/2 (pow.f64 (.f64 th a1) 2)) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a1 2) (.f64 1/24 (pow.f64 th 4)))))
(+.f64 (pow.f64 a1 2) (+.f64 (.f64 (pow.f64 a1 2) (.f64 1/24 (pow.f64 th 4))) (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))))
(+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a1 2) (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/2 (pow.f64 th 2)))))
(+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (pow.f64 th 2)) (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 a1 2) (pow.f64 th 6))) (+.f64 (pow.f64 a1 2) (.f64 1/24 (.f64 (pow.f64 a1 2) (pow.f64 th 4))))))
(+.f64 (.f64 -1/2 (pow.f64 (.f64 th a1) 2)) (+.f64 (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a1 2) (.f64 1/24 (pow.f64 th 4)))) (.f64 -1/720 (.f64 (pow.f64 a1 2) (pow.f64 th 6)))))
(+.f64 (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a1 2) (.f64 1/24 (pow.f64 th 4)))) (.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (pow.f64 th 2)) (*.f64 -1/720 (pow.f64 th 6)))))
(+.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 1/24 (pow.f64 th 4))))))
(+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)) (.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 1/24 (pow.f64 th 4))))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) 0)
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 0 (/.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 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) 0)
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(-.f64 0 (neg.f64 (/.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 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) 1)
(/.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 (.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 (.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 1 (/.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 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.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 1 (/.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 (/.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 1 (/.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 a1 2) (cos.f64 th)) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (/.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 1 (/.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 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.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 1 (/.f64 (/.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 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (/.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 (.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 (/.f64 1 (/.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 a1 2) (cos.f64 th)) (sqrt.f64 2)))) (.f64 (/.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 (.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 (/.f64 (/.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 (.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 (.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.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 (.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 (/.f64 1 (/.f64 (/.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 (.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))
(pow.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) 1)
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(neg.f64 (neg.f64 (/.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)) 0)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 0 (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(-.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) 0)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(-.f64 0 (neg.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) 1)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (/.f64 (.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 (.f64 2 (.f64 (pow.f64 a1 2) (cos.f64 th))) 2)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(/.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 a1 2) (cos.f64 th)))) -2)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(pow.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) 1)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(neg.f64 (neg.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 a1 2) (cos.f64 th))

localize189.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	0.2b	(/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
	0.4b	(.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	6.8b	(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))

Compiler

Compiled 125 to 57 computations (54.4% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`rational_best-4`
774×	`rational_best-2`
774×	`rational_best-3`
774×	`rational_best-1`
774×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	122
1	125	122
2	400	122
3	1710	122

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (neg.f64 (/.f64 0 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 0 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) 2) (+.f64 (/.f64 0 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (*.f64 2 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (*.f64 (/.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))) (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (*.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 1 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (/.f64 1 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 1 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))) (*.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 1 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))) (*.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)) 1)))))

simplify249.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational_best-simplify-2`
994×	`rational_best-simplify-132`
948×	`rational_best-simplify-49`
932×	`rational_best-simplify-50`
854×	`rational_best-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	5545
1	276	5527
2	524	5403
3	1710	5403
4	3975	5403
5	7951	5403

Stop Event

1×	node limit

Counts

89 → 69

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(/.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 2 (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 2 (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6)))) (+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))) (.f64 -2 (/.f64 (pow.f64 a2 6) (.f64 (sqrt.f64 2) (pow.f64 a1 8)))))))
(/.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))))))
(/.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))))))
(/.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))))))
(/.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 2 (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 2 (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6)))) (+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))) (.f64 -2 (/.f64 (pow.f64 a2 6) (.f64 (sqrt.f64 2) (pow.f64 a1 8)))))))
(/.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 2 (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 2 (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6)))) (+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))) (.f64 -2 (/.f64 (pow.f64 a2 6) (.f64 (sqrt.f64 2) (pow.f64 a1 8)))))))
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))) 0)
(+.f64 0 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(+.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (neg.f64 (/.f64 0 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(-.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))) 0)
(-.f64 0 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 0 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) 2) (+.f64 (/.f64 0 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))))
(/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))) 1)
(/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(/.f64 (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) 2)
(/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) 2)) -2)
(pow.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))) 1)
(neg.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(fabs.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(fabs.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))))
(fabs.f64 (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(fabs.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(fabs.f64 (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(fabs.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(fabs.f64 (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))))))
(fabs.f64 (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))))))
(fabs.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))))) (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (neg.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))))
(+.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)) 0)
(+.f64 0 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(-.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)) 0)
(.f64 1 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))
(.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) 1)
(.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))))
(.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))
(.f64 (/.f64 1 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(.f64 (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 1 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(.f64 (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))) (.f64 (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))))
(.f64 (/.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(.f64 (/.f64 (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))))
(pow.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)) 1)

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(/.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 2 (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (pow.f64 a2 4) (*.f64 (sqrt.f64 2) (pow.f64 a1 6))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 2 (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6)))) (+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))) (.f64 -2 (/.f64 (pow.f64 a2 6) (.f64 (sqrt.f64 2) (pow.f64 a1 8)))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a2 6) (.f64 (sqrt.f64 2) (pow.f64 a1 8)))) (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (pow.f64 a2 4) (*.f64 (sqrt.f64 2) (pow.f64 a1 6)))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6))))) (.f64 -2 (/.f64 (pow.f64 a2 6) (*.f64 (sqrt.f64 2) (pow.f64 a1 8))))))
(+.f64 (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6))))) (.f64 -2 (+.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4))) (/.f64 (pow.f64 a2 6) (.f64 (sqrt.f64 2) (pow.f64 a1 8))))))
(/.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))))
(+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))) (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (+.f64 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))) (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a2 2))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))))))
(+.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))) (.f64 -2 (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8))))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(+.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4))) (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))) (.f64 2 (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(+.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4))) (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8))))) (.f64 2 (+.f64 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))) (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))))
(+.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4))) (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8))))) (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(/.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))))
(+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))) (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (+.f64 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))) (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a2 2))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))))))
(+.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))) (.f64 -2 (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8))))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(+.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4))) (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))) (.f64 2 (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(+.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4))) (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8))))) (.f64 2 (+.f64 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))) (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))))
(+.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4))) (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8))))) (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(/.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))))
(+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))) (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (+.f64 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))) (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a2 2))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))))))
(+.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))) (.f64 -2 (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8))))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (.f64 2 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(+.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4))) (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))) (.f64 2 (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(+.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4))) (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8))))) (.f64 2 (+.f64 (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))) (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))))
(+.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 2) (pow.f64 a2 4))) (/.f64 (pow.f64 a1 6) (.f64 (sqrt.f64 2) (pow.f64 a2 8))))) (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (/.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 2) (pow.f64 a2 6))))))
(/.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 2 (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (pow.f64 a2 4) (*.f64 (sqrt.f64 2) (pow.f64 a1 6))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 2 (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6)))) (+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))) (.f64 -2 (/.f64 (pow.f64 a2 6) (.f64 (sqrt.f64 2) (pow.f64 a1 8)))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a2 6) (.f64 (sqrt.f64 2) (pow.f64 a1 8)))) (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (pow.f64 a2 4) (*.f64 (sqrt.f64 2) (pow.f64 a1 6)))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6))))) (.f64 -2 (/.f64 (pow.f64 a2 6) (*.f64 (sqrt.f64 2) (pow.f64 a1 8))))))
(+.f64 (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6))))) (.f64 -2 (+.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4))) (/.f64 (pow.f64 a2 6) (.f64 (sqrt.f64 2) (pow.f64 a1 8))))))
(/.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 2 (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6)))) (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (pow.f64 a2 4) (*.f64 (sqrt.f64 2) (pow.f64 a1 6))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 2 (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6)))) (+.f64 (.f64 2 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))) (.f64 -2 (/.f64 (pow.f64 a2 6) (.f64 (sqrt.f64 2) (pow.f64 a1 8)))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a2 6) (.f64 (sqrt.f64 2) (pow.f64 a1 8)))) (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (pow.f64 a2 4) (*.f64 (sqrt.f64 2) (pow.f64 a1 6)))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (+.f64 (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6))))) (.f64 -2 (/.f64 (pow.f64 a2 6) (*.f64 (sqrt.f64 2) (pow.f64 a1 8))))))
(+.f64 (.f64 2 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 2) (pow.f64 a1 6))))) (.f64 -2 (+.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (pow.f64 a1 4))) (/.f64 (pow.f64 a2 6) (.f64 (sqrt.f64 2) (pow.f64 a1 8))))))
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))) 0)
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(+.f64 0 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(+.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (neg.f64 (/.f64 0 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(-.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))) 0)
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(-.f64 0 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 0 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) 2) (+.f64 (/.f64 0 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))))
(-.f64 (.f64 2 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (+.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 0 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))))
(/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))) 1)
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(/.f64 (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) 2)
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) 2)) -2)
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(pow.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))) 1)
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(neg.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(fabs.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(fabs.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(fabs.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))))
(fabs.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(fabs.f64 (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(fabs.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(fabs.f64 (.f64 (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))))
(fabs.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(fabs.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(fabs.f64 (.f64 (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))))
(fabs.f64 (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(fabs.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(fabs.f64 (.f64 (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))))
(fabs.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(fabs.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(fabs.f64 (.f64 (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))))
(fabs.f64 (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))))))
(fabs.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(fabs.f64 (.f64 (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))))
(fabs.f64 (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))))))
(fabs.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(fabs.f64 (.f64 (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))))
(fabs.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))))) (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))))))
(fabs.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(fabs.f64 (.f64 (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))))
(fabs.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (neg.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))))
(fabs.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(+.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)) 0)
(/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(+.f64 0 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(-.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)) 0)
(/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(.f64 1 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))
(/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) 1)
(/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))))
(/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))))
(/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))))
(/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))
(/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(.f64 (/.f64 1 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(.f64 (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 1 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(.f64 (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)))
(/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))) (.f64 (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))))
(/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(.f64 (/.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
(/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(.f64 (/.f64 (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)))) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))) (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2))))
(/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))
(pow.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)) 1)
(/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))

eval981.0ms (5.9%)

Compiler: Compiled 30077 to 13523 computations (55% saved)

prune145.0ms (0.9%)

Pruning

25 alts after pruning (15 fresh and 10 done)

	Pruned	Kept	Total
New	668	5	673
Fresh	2	10	12
Picked	0	1	1
Done	1	9	10
Total	671	25	696

Error

0.0b

Counts

696 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	40.6b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
✓	40.7b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	27.5b	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
✓	28.6b	(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
✓	0.4b	(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
	7.2b	(/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
✓	25.7b	(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
✓	0.4b	(/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th))) 2)
	0.4b	(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
	0.4b	(+.f64 (/.f64 (.f64 a1 (.f64 a1 (.f64 (sqrt.f64 2) (cos.f64 th)))) 2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.5b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 a2 (.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 2)))) 2))
	12.8b	(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
	12.7b	(+.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
✓	32.3b	(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2))))
✓	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	7.1b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
✓	7.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
✓	25.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	55.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
	48.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
✓	32.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
	55.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))))
	32.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))))
	48.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
	48.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))

Compiler

Compiled 776 to 390 computations (49.7% saved)

regimes145.0ms (0.9%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

8 calls:

20.0ms	a1
18.0ms	a2
18.0ms	th
17.0ms	(cos.f64 th)
16.0ms	(+.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 1274 to 516 computations (59.5% saved)

regimes57.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

7 calls:

10.0ms	th
9.0ms	a1
8.0ms	a2
7.0ms	(*.f64 a1 a1)
6.0ms	(/.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 487 to 177 computations (63.7% saved)

regimes237.0ms (1.4%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

7 calls:

137.0ms	th
65.0ms	(cos.f64 th)
7.0ms	a2
7.0ms	a1
6.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Error	Segments	Branch
0.5b	1	`a1`
0.5b	1	`a2`
0.5b	1	`th`
0.5b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.5b	1	`(cos.f64 th)`
0.5b	1	`(*.f64 a1 a1)`
0.5b	1	`(*.f64 a2 a2)`

Compiler

Compiled 457 to 165 computations (63.9% saved)

regimes38.0ms (0.2%)

Accuracy

Total -37.8b remaining (-147.1%)

Threshold costs -37.8b (-147.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	th
6.0ms	a2
6.0ms	a1
4.0ms	(*.f64 a2 a2)
4.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
25.7b	1	`a1`
25.7b	1	`a2`
25.7b	1	`th`
25.7b	1	`(*.f64 a1 a1)`
25.7b	1	`(*.f64 a2 a2)`

Compiler

Compiled 431 to 149 computations (65.4% saved)

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	199

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 82 to 59 computations (28% saved)

soundness215.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

906×	`rational_best-simplify-80`
816×	`rational_best-simplify-78`
784×	`rational_best-simplify-2`
770×	`rational_best-simplify-1`
682×	`rational_best-simplify-132`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	26	39
2	33	39
0	161	4719
1	289	4665
2	549	4665
3	1481	4659
4	3085	4659
5	5968	4659

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 70 to 41 computations (41.4% saved)

end120.0ms (0.7%)

Remove: (sort a1 a2)
Compiler: Compiled 106 to 59 computations (44.3% saved)