Details

analyze456.0ms (3%)

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)

sample3.5s (22.9%)

Results

986.0ms	5482×	body	256	valid
888.0ms	1835×	body	1024	valid
771.0ms	1483×	body	1024	infinite
298.0ms	1484×	body	256	infinite
297.0ms	937×	body	512	valid
270.0ms	779×	body	512	infinite
1.0ms	2×	body	2048	valid

Bogosity

preprocess97.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

2964×	`rational.json-simplify-44`
956×	`rational.json-simplify-2`
876×	`rational.json-simplify-43`
804×	`rational.json-simplify-50`
770×	`rational.json-simplify-14`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	236
1	58	156
2	134	156
3	447	156
4	1796	156
5	6176	156
6	7469	156
7	7559	156
8	7673	156
9	7709	156
10	7733	156
0	3	3
1	3	3

Stop Event

1×	unsound
1×	node limit

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

Symmetry

(sort a1 a2)

Compiler

Compiled 25 to 18 computations (28% saved)

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1696×	`rational.json-simplify-67`
1218×	`rational.json-simplify-1`
1094×	`rational.json-simplify-29`
1002×	`rational.json-simplify-50`
720×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	28	39
2	59	39
3	177	39
4	695	39
5	3336	39
6	6775	39
7	7979	39

Stop Event

1×	node limit

Counts

1 → 4

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

eval1.0ms (0%)

Compiler: Compiled 61 to 28 computations (54.1% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Kept	Total
New	4	4
Fresh	1	1
Picked	0	0
Done	0	0
Total	5	5

Error

0.3b

Counts

5 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
▶	0.4b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
▶	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))

Compiler

Compiled 70 to 48 computations (31.4% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 47 to 17 computations (63.8% saved)

series9.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1326×	`rational.json-simplify-42`
1192×	`rational.json-simplify-47`
930×	`rational.json-1`
930×	`rational.json-2`
930×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	87
1	87	87
2	343	87
3	2061	87

Stop Event

1×	node limit

Counts

3 → 265

Calls

Call 1

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

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

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

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1134×	`rational.json-simplify-24`
534×	`rational.json-simplify-5`
526×	`rational.json-simplify-42`
514×	`rational.json-simplify-41`
486×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	546	11795
1	1903	11585

Stop Event

1×	node limit

Counts

349 → 331

Calls

Call 1

Inputs
(/.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))
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(-.f64 (.f64 0 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 2 (cos.f64 th))))) (.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 2 (cos.f64 th)))) (/.f64 1/2 (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) 0)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) 0))) (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 (cos.f64 th) 0) (.f64 (cos.f64 th) 0)) (+.f64 (.f64 (cos.f64 th) 0) (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))))
(-.f64 (+.f64 (/.f64 4 (/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))) (/.f64 4 (/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th))))) (+.f64 (/.f64 4 (/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (*.f64 (cos.f64 th) 3))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))))
(/.f64 1 (.f64 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 1 (cos.f64 th))))
(/.f64 1 (/.f64 -1 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (.f64 (/.f64 1 (cos.f64 th)) (*.f64 2 (sqrt.f64 2))))
(/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))))
(/.f64 (neg.f64 (cos.f64 th)) (/.f64 (neg.f64 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))) -1)
(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 (cos.f64 th)))))
(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2))) (neg.f64 (/.f64 1 (cos.f64 th))))
(/.f64 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (/.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (.f64 2 (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1/2))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 2 (cos.f64 th))) (*.f64 2 (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 2 (cos.f64 th))) (/.f64 1 (/.f64 1/2 (sqrt.f64 2))))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)) (.f64 2 (sqrt.f64 2))) 1/2)
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 2 (cos.f64 th)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)) (.f64 2 (sqrt.f64 2))) (/.f64 0 (*.f64 2 (sqrt.f64 2)))) 1/2)
(/.f64 (-.f64 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (/.f64 0 (.f64 2 (sqrt.f64 2)))) (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (-.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (-.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 2 (cos.f64 th)))) (/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (cos.f64 th)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 2 (cos.f64 th)))) (.f64 -1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 2 (cos.f64 th))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 2 (cos.f64 th)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (cos.f64 th) 0) (cos.f64 th)) (/.f64 (neg.f64 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (.f64 2 (cos.f64 th)) 2)) (/.f64 (neg.f64 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)) (.f64 2 (sqrt.f64 2))) (/.f64 0 (*.f64 2 (sqrt.f64 2)))) 1/2)
(/.f64 (+.f64 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (/.f64 0 (.f64 2 (sqrt.f64 2)))) (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (+.f64 (/.f64 0 (.f64 2 (sqrt.f64 2))) (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2)))) (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(neg.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0)
(-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 a2 a2))
(-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 a1 a1))
(-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 0))
(-.f64 0 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (+.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (-.f64 a1 a1)))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (+.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (-.f64 a2 a2)))
(-.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 -1 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)))
(-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) (*.f64 a2 a2))
(-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1))) (*.f64 a1 a1))
(-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))
(-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3) 1/2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 1/2))
(-.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)) (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3)))
(-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) (*.f64 a2 a2)))
(-.f64 (+.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1)))) (+.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1))) (*.f64 a1 a1)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 1)
(.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2))
(.f64 1/2 (+.f64 (.f64 a1 (+.f64 a1 a1)) (*.f64 a2 (+.f64 a2 a2))))
(.f64 1/2 (+.f64 (fabs.f64 (.f64 a1 (+.f64 a1 a1))) (*.f64 a2 (+.f64 a2 a2))))
(.f64 1/2 (+.f64 (.f64 a2 (+.f64 a2 a2)) (*.f64 a1 (+.f64 a1 a1))))
(.f64 1/2 (+.f64 (fabs.f64 (.f64 a2 (+.f64 a2 a2))) (*.f64 a1 (+.f64 a1 a1))))
(.f64 -1 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 -1 (-.f64 (-.f64 a2 a2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 -1 (-.f64 (-.f64 a1 a1) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 -1 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 -1 (-.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))))
(.f64 -1 (-.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1)))))
(.f64 -1 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)))
(.f64 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -1)
(.f64 -1/2 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)))
(.f64 -1/2 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)))
(.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
(.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)) -1/2)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1)
(/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 1/2 (/.f64 1 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2)))
(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1)
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -1)
(neg.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))

Outputs
(/.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) (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) (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) (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) (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) (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) (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) (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) (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) (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) (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) (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) (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) (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) (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) (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) (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) (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) (pow.f64 a1 2)) (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 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))))))
(+.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 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 (.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 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))) (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))))))
(+.f64 (/.f64 (+.f64 (.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) -1/2) (.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) 1/24)) (sqrt.f64 2)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
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(-.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)) (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) (*.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (-.f64 (.f64 a2 (+.f64 a2 a2)) (*.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (.f64 a2 (-.f64 (+.f64 a2 a2) a2)))
(-.f64 (+.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1)))) (+.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1))) (*.f64 a1 a1)))
(+.f64 (.f64 a2 a2) (-.f64 (.f64 a1 (+.f64 a1 a1)) (*.f64 a1 a1)))
(+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 (+.f64 a1 a1) a1)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 1)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 1/2)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(.f64 1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(.f64 1/2 (+.f64 (.f64 a1 (+.f64 a1 a1)) (*.f64 a2 (+.f64 a2 a2))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(.f64 1/2 (+.f64 (fabs.f64 (.f64 a1 (+.f64 a1 a1))) (*.f64 a2 (+.f64 a2 a2))))
(.f64 1/2 (+.f64 (.f64 a2 (+.f64 a2 a2)) (fabs.f64 (*.f64 a1 (+.f64 a1 a1)))))
(.f64 1/2 (+.f64 (.f64 a2 (+.f64 a2 a2)) (*.f64 a1 (+.f64 a1 a1))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(.f64 1/2 (+.f64 (fabs.f64 (.f64 a2 (+.f64 a2 a2))) (*.f64 a1 (+.f64 a1 a1))))
(.f64 1/2 (+.f64 (.f64 a1 (+.f64 a1 a1)) (fabs.f64 (*.f64 a2 (+.f64 a2 a2)))))
(.f64 -1 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(.f64 -1 (-.f64 (-.f64 a2 a2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 1 (-.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (-.f64 a2 a2)))
(neg.f64 (-.f64 (-.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 -1 (-.f64 (-.f64 a1 a1) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(neg.f64 (-.f64 (-.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 -1 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(.f64 -1 (-.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))))
(.f64 1 (+.f64 (.f64 a1 a1) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a2 a2))))
(.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 (-.f64 (+.f64 a2 a2) a2))))
(.f64 -1 (-.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1)))))
(.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 (-.f64 (+.f64 a1 a1) a1))))
(.f64 -1 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(.f64 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -1)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(.f64 -1/2 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(.f64 -1/2 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)) -1/2)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(/.f64 1/2 (/.f64 1 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -1)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(neg.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 42 to 17 computations (59.5% saved)

series4.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite106.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`rational.json-simplify-6`
1310×	`rational.json-simplify-13`
1212×	`rational.json-simplify-3`
1048×	`rational.json-simplify-12`
902×	`rational.json-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	83	54
2	289	54
3	1684	54

Stop Event

1×	node limit

Counts

2 → 434

Calls

Call 1

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

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

simplify198.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

996×	`rational.json-simplify-2`
948×	`rational.json-simplify-13`
870×	`rational.json-simplify-1`
856×	`rational.json-simplify-5`
834×	`rational.json-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	890	26192
1	3105	23910

Stop Event

1×	node limit

Counts

474 → 583

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

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

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)))
✓	0.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
✓	0.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
	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	a1	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
1.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
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 a2 a2))

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`rational.json-simplify-37`
972×	`rational.json-1`
972×	`rational.json-2`
972×	`rational.json-4`
972×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	113
1	90	93
2	314	93
3	1972	93

Stop Event

1×	node limit

Counts

3 → 329

Calls

Call 1

Inputs

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

Outputs

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a2 a2))) (sqrt.f64 2))))))))

simplify131.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1002×	`rational.json-simplify-13`
796×	`rational.json-simplify-27`
752×	`rational.json-simplify-28`
718×	`rational.json-simplify-24`
714×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	676	16003
1	2207	14489

Stop Event

1×	node limit

Counts

413 → 471

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)))))
(/.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 (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))
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(-.f64 (/.f64 (/.f64 4 (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 1 (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 a2 a2) 3)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (/.f64 1 (.f64 a2 a2))))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (*.f64 a2 a2)))
(/.f64 a2 (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 1 a2)))
(/.f64 a2 (/.f64 (/.f64 1 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 a2 (/.f64 1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))))
(/.f64 1 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 1 (.f64 a2 a2))))
(/.f64 1 (/.f64 (/.f64 1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (*.f64 a2 a2)))
(/.f64 1 (/.f64 1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) (/.f64 1 a2))
(/.f64 (.f64 (cos.f64 th) 2) (.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1 (.f64 a2 a2))))
(/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 (cos.f64 th) (.f64 a2 a2))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))) -1)
(/.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 (.f64 a2 a2)))))
(/.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (neg.f64 (/.f64 1 (*.f64 a2 a2))))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (neg.f64 (*.f64 a2 a2)) (-.f64 (/.f64 0 (cos.f64 th)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (neg.f64 (.f64 a2 a2)) (-.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 2 (sqrt.f64 2)) (cos.f64 th))))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (.f64 2 (.f64 a2 a2))) (.f64 2 (sqrt.f64 2)))
(/.f64 (/.f64 (cos.f64 th) (neg.f64 (/.f64 1 (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) (neg.f64 (/.f64 1 a2)))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (*.f64 2 (sqrt.f64 2))) 1/2)
(/.f64 (.f64 (cos.f64 th) (neg.f64 (.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) (-.f64 (*.f64 (sqrt.f64 2) 0) (sqrt.f64 2)))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) (-.f64 (.f64 (sqrt.f64 2) 3) (.f64 (*.f64 2 (sqrt.f64 2)) 2)))
(/.f64 (-.f64 (+.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))))) -1)
(/.f64 (-.f64 (.f64 (cos.f64 th) 0) (.f64 (cos.f64 th) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (cos.f64 th) (-.f64 a2 a2)) (.f64 (cos.f64 th) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 2 (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 2 (.f64 a2 a2)))) (neg.f64 (.f64 2 (sqrt.f64 2))))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 2 (.f64 a2 a2)))) (-.f64 (.f64 2 (sqrt.f64 2)) (.f64 (.f64 2 (sqrt.f64 2)) 2)))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 2 (.f64 a2 a2)))) (-.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) 3)))
(/.f64 (neg.f64 (/.f64 (cos.f64 th) (neg.f64 (/.f64 1 (*.f64 a2 a2))))) (sqrt.f64 2))
(/.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a2 a2)))) (sqrt.f64 2))
(neg.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))
(-.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)) 0)
(-.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0))
(-.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 2)) (.f64 (*.f64 a2 a2) 0))
(-.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 2)) (.f64 a1 (-.f64 a1 a1)))
(-.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 2)) (.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)) 0))
(-.f64 0 (neg.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))))
(-.f64 (.f64 2 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)))
(-.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 2 (.f64 a1 a1)))) (.f64 a1 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 2))))
(-.f64 (.f64 (.f64 2 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 2))) 2) (.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)) 3))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 2)) 1)
(.f64 1 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 2)))
(.f64 (.f64 (cos.f64 th) 2) (+.f64 (/.f64 (.f64 (.f64 a1 a1) 1/2) (sqrt.f64 2)) (.f64 (.f64 a2 a2) (/.f64 1/2 (sqrt.f64 2)))))
(.f64 (.f64 (cos.f64 th) 2) (+.f64 (/.f64 (.f64 (.f64 a1 a1) 1/2) (sqrt.f64 2)) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1 (*.f64 a2 a2)))))
(.f64 (.f64 (cos.f64 th) 2) (+.f64 (.f64 (.f64 a2 a2) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (.f64 (.f64 a1 a1) 1/2) (sqrt.f64 2))))
(.f64 (.f64 (cos.f64 th) 2) (+.f64 (.f64 (.f64 a2 a2) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1 (*.f64 a1 a1)))))
(.f64 1/2 (.f64 2 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))))
(.f64 1/2 (+.f64 (/.f64 (.f64 (cos.f64 th) 2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (.f64 2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))))
(.f64 1/2 (+.f64 (.f64 2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2)))) (/.f64 (.f64 (cos.f64 th) 2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 (cos.f64 th) (.f64 2 (.f64 a1 a1))) (.f64 (cos.f64 th) (.f64 2 (*.f64 a2 a2)))))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 (cos.f64 th) (.f64 2 (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 2 (*.f64 a1 a1)))))
(.f64 -1 (neg.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 2))))
(.f64 (neg.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 2))) -1)
(.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) -1))
(.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (-.f64 0 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (-.f64 (-.f64 a2 a2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (-.f64 (-.f64 a1 a1) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (-.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 2 (*.f64 a1 a1)))))
(.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (-.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 -1/2 (+.f64 (neg.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 2))) (neg.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)))))
(.f64 (.f64 2 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))) 1/2)
(.f64 (+.f64 (neg.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 2))) (neg.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)))) -1/2)
(/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)) 1)
(/.f64 1 (/.f64 1 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))))
(/.f64 (neg.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))) -1)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1) (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 2))) (neg.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 2)))) (neg.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)))) -1)
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 2 (.f64 a1 a1))) (.f64 (cos.f64 th) (.f64 2 (.f64 a2 a2)))) (*.f64 2 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 2 (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 2 (.f64 a1 a1)))) (*.f64 2 (sqrt.f64 2)))
(/.f64 (+.f64 (/.f64 (cos.f64 th) (neg.f64 (/.f64 1 (.f64 a1 a1)))) (/.f64 (cos.f64 th) (neg.f64 (/.f64 1 (.f64 a2 a2))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (/.f64 (cos.f64 th) (neg.f64 (/.f64 1 (.f64 a1 a1)))) (.f64 (cos.f64 th) (neg.f64 (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (/.f64 (cos.f64 th) (neg.f64 (/.f64 1 (.f64 a1 a1)))) (neg.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 2 (sqrt.f64 2)))) 1/2)
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 (neg.f64 a1))) (/.f64 (cos.f64 th) (neg.f64 (/.f64 1 (*.f64 a2 a2))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 (neg.f64 a1))) (.f64 (cos.f64 th) (neg.f64 (.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 (neg.f64 a1))) (neg.f64 (.f64 (cos.f64 th) (.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a1 a1))) (/.f64 (cos.f64 th) (neg.f64 (/.f64 1 (*.f64 a2 a2))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (cos.f64 th) (neg.f64 (.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a1 a1))) (neg.f64 (.f64 (cos.f64 th) (.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (/.f64 (cos.f64 th) (neg.f64 (/.f64 1 (.f64 a2 a2)))) (/.f64 (cos.f64 th) (neg.f64 (/.f64 1 (.f64 a1 a1))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (/.f64 (cos.f64 th) (neg.f64 (/.f64 1 (.f64 a2 a2)))) (.f64 (cos.f64 th) (*.f64 a1 (neg.f64 a1)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (/.f64 (cos.f64 th) (neg.f64 (/.f64 1 (.f64 a2 a2)))) (neg.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 2 (sqrt.f64 2)))) 1/2)
(/.f64 (+.f64 (.f64 (cos.f64 th) (neg.f64 (.f64 a2 a2))) (/.f64 (cos.f64 th) (neg.f64 (/.f64 1 (*.f64 a1 a1))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (neg.f64 (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 a1 (neg.f64 a1)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (neg.f64 (.f64 a2 a2))) (neg.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) (/.f64 (cos.f64 th) (neg.f64 (/.f64 1 (*.f64 a1 a1))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 a1 (neg.f64 a1)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) (neg.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (/.f64 0 (cos.f64 th)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (*.f64 2 (sqrt.f64 2)) (cos.f64 th))))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (-.f64 (.f64 (sqrt.f64 2) 0) (sqrt.f64 2)))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (-.f64 (.f64 (sqrt.f64 2) 3) (.f64 (.f64 2 (sqrt.f64 2)) 2)))
(neg.f64 (neg.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))))

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 47 to 17 computations (63.8% saved)

series3.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`rational.json-simplify-6`
1248×	`rational.json-simplify-29`
1012×	`rational.json-simplify-3`
888×	`rational.json-1`
888×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	86	68
2	328	68
3	2042	68

Stop Event

1×	node limit

Counts

2 → 321

Calls

Call 1

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

Outputs

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simplify141.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

978×	`rational.json-simplify-1`
758×	`rational.json-simplify-24`
694×	`rational.json-simplify-5`
686×	`rational.json-simplify-50`
672×	`rational.json-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	735	16745
1	2240	16185

Stop Event

1×	node limit

Counts

381 → 411

Calls

Call 1

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

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

eval1.1s (6.9%)

Compiler: Compiled 56405 to 28012 computations (50.3% saved)

prune683.0ms (4.4%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	2137	17	2154
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	2138	20	2158

Error

Counts

2158 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 1 (cos.f64 th)))
▶	0.6b	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
▶	0.6b	(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	0.7b	(/.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 (/.f64 1/2 (cos.f64 th)) (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
	0.4b	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	0.4b	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2))
	0.6b	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 2) 3)))
	0.5b	(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 (cos.f64 th)))))
✓	0.6b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	0.6b	(/.f64 (cos.f64 th) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)))
	0.6b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) (.f64 a2 a2)))
	1.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	1.2b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))))
▶	25.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	0.8b	(.f64 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a2 a2) (/.f64 a1 (/.f64 1/2 a1)))))
✓	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
▶	1.2b	(.f64 (cos.f64 th) (/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))) (sqrt.f64 2)))
▶	0.4b	(.f64 (cos.f64 th) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 a2 (/.f64 a2 (sqrt.f64 2)))))

Compiler

Compiled 762 to 525 computations (31.1% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
✓	0.2b	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
✓	0.4b	(/.f64 (sqrt.f64 2) a1)
✓	0.4b	(/.f64 a2 (sqrt.f64 2))

Compiler

Compiled 60 to 40 computations (33.3% saved)

series7.0ms (0%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	a2	@	-inf	(/.f64 a2 (sqrt.f64 2))
1.0ms	a2	@	inf	(/.f64 a2 (sqrt.f64 2))
0.0ms	a2	@	0	(/.f64 a2 (sqrt.f64 2))
0.0ms	a1	@	-inf	(/.f64 (sqrt.f64 2) a1)
0.0ms	a1	@	0	(/.f64 (sqrt.f64 2) a1)

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1162×	`rational.json-simplify-6`
1066×	`rational.json-simplify-29`
966×	`rational.json-simplify-37`
872×	`rational.json-simplify-42`
812×	`rational.json-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	74	56
2	313	56
3	1852	56

Stop Event

1×	node limit

Counts

4 → 466

Calls

Call 1

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

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

simplify152.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1426×	`rational.json-simplify-2`
1302×	`rational.json-simplify-3`
1144×	`rational.json-simplify-12`
924×	`rational.json-simplify-1`
892×	`rational.json-simplify-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	843	16264
1	2723	16084

Stop Event

1×	node limit

Counts

490 → 792

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	0.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	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	a1	@	0	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
0.0ms	a1	@	inf	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
0.0ms	a2	@	-inf	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
0.0ms	a2	@	inf	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
0.0ms	a1	@	-inf	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`rational.json-simplify-6`
1026×	`rational.json-simplify-3`
940×	`rational.json-simplify-4`
844×	`rational.json-simplify-2`
844×	`rational.json-simplify-13`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	77	40
2	246	40
3	1345	40

Stop Event

1×	node limit

Counts

2 → 309

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.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 1 (sqrt.f64 2)) (+.f64 0 (-.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))))) (#(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)) (/.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (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 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) (-.f64 0 (+.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 2 (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 (/.f64 1 (sqrt.f64 2)) (-.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))) (#(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)) (-.f64 0 (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 (/.f64 2 (sqrt.f64 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (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 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) (/.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) (-.f64 (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) (+.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) (-.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (+.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 (sqrt.f64 2))) 1/2) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (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 1/2 (/.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (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 2 (sqrt.f64 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 1/2 (/.f64 1/2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (neg.f64 (/.f64 1/2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1/2 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 -1 (sqrt.f64 2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (sqrt.f64 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) (neg.f64 (/.f64 0 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) (neg.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) (neg.f64 (*.f64 (*.f64 a1 a1) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2))))))) 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a1 a1) (*.f64 a2 a2))) 1/2) (/.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))))))

simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1186×	`rational.json-simplify-2`
942×	`rational.json-simplify-3`
898×	`rational.json-simplify-5`
790×	`rational.json-simplify-1`
742×	`rational.json-simplify-12`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	594	11207
1	2068	10653

Stop Event

1×	node limit

Counts

333 → 347

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	0.2b	(/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	0.5b	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 54 to 22 computations (59.3% saved)

series3.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1216×	`rational.json-simplify-67`
1134×	`rational.json-1`
1134×	`rational.json-2`
1134×	`rational.json-4`
1134×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	64
1	101	64
2	397	64
3	2637	64

Stop Event

1×	node limit

Counts

2 → 201

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 0 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (/.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 0 (-.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (-.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 0) (/.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (-.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)) (/.f64 (sqrt.f64 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 0 (/.f64 2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 0 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 0 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(+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 0) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) 0)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 a1 (/.f64 a1 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 0 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 0 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 1 (/.f64 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 4) (*.f64 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 4) (*.f64 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 4)) (+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 4) (*.f64 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (/.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (neg.f64 (/.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1/2 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/2 (*.f64 2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 1/2 (*.f64 2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 1/2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))))

simplify135.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1192×	`rational.json-simplify-1`
750×	`rational.json-simplify-67`
712×	`rational.json-simplify-50`
664×	`rational.json-simplify-24`
566×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	479	11013
1	1556	10817
2	7472	10817

Stop Event

1×	node limit

Counts

261 → 274

Calls

Call 1

Inputs
(/.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 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 (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 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 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 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 0)
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 0 (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (neg.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) 0))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (/.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 0 (-.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 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (-.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0) (/.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
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(.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (-.f64 (-.f64 a2 a2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (-.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2)))))
(.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (-.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 2 (*.f64 a1 a1)))))
(.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3) (.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 2)))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) -1)
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1/2 (/.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1/2 (.f64 (/.f64 1 (cos.f64 th)) (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(.f64 (.f64 (cos.f64 th) (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 1/2 (sqrt.f64 2)))
(.f64 -1/2 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))))
(.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1/2 (/.f64 1/2 (*.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))))))
(.f64 (.f64 2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) 1/2)
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2))) (*.f64 (cos.f64 th) 2))
(.f64 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) (cos.f64 th))
(.f64 -2 (/.f64 1/2 (/.f64 (/.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 -2 (/.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (cos.f64 th))))))
(.f64 (neg.f64 (/.f64 1/2 (sqrt.f64 2))) (neg.f64 (.f64 (cos.f64 th) (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/2)) (neg.f64 (*.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (neg.f64 (.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 1/2)))
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1 (sqrt.f64 2))) (cos.f64 th))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (cos.f64 th))
(.f64 (/.f64 1/2 (/.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (*.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2))
(.f64 (/.f64 1/2 (neg.f64 (sqrt.f64 2))) (+.f64 (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (.f64 (.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2) (/.f64 1/2 (/.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(.f64 (.f64 (.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/2) (/.f64 1/2 (/.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(.f64 (.f64 (.f64 (cos.f64 th) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 2) (/.f64 1/2 (*.f64 2 (sqrt.f64 2))))
(.f64 (.f64 (.f64 (cos.f64 th) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 2) (/.f64 1/2 (/.f64 1 (/.f64 1/2 (sqrt.f64 2)))))
(.f64 (.f64 (.f64 (cos.f64 th) 2) 2) (/.f64 1/2 (.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(.f64 (/.f64 (neg.f64 (cos.f64 th)) 1/2) (/.f64 1/2 (neg.f64 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (neg.f64 (cos.f64 th)) 1/2) (/.f64 1/2 (.f64 (sqrt.f64 2) (/.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(.f64 (/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1/2) (/.f64 1/2 (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(.f64 (/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1/2) (/.f64 1/2 (/.f64 -1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 1/2) (/.f64 1/2 (/.f64 -1/2 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))))))
(.f64 (/.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) 1/2) (/.f64 1/2 (/.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))) -1/2)
(.f64 (+.f64 (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))) (/.f64 1/2 (neg.f64 (sqrt.f64 2))))
(.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))) (neg.f64 (/.f64 1/2 (sqrt.f64 2))))
(.f64 (.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 2) (/.f64 1/2 (.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(.f64 (.f64 (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 2) (/.f64 1/2 (/.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 2) (/.f64 1/2 (/.f64 1 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))))))
(.f64 (.f64 (.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 1/4)
(.f64 (/.f64 1/2 (/.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) 1/2))
(.f64 (/.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) 2)
(.f64 (/.f64 1/2 (neg.f64 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))) (/.f64 (neg.f64 (cos.f64 th)) 1/2))
(.f64 (/.f64 1/2 (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1/2))
(.f64 (+.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 1/2 (/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (cos.f64 th))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (cos.f64 th)))) (/.f64 1/2 (neg.f64 (sqrt.f64 2))))
(.f64 (+.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) (/.f64 1/2 (/.f64 1 (cos.f64 th))))
(.f64 (+.f64 (neg.f64 (.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (neg.f64 (.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 1/2 (neg.f64 (/.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (+.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 2 (sqrt.f64 2)))) 1)
(.f64 (+.f64 (neg.f64 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2)))) (neg.f64 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))))) (/.f64 1/2 (neg.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(+.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 0)
(+.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 0 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 0 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (/.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (/.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (/.f64 0 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(-.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 0)
(-.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 0 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(-.f64 0 (/.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(-.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 1/2)))
(-.f64 (/.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(-.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 3))
(-.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4)) (+.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 3)))
(.f64 2 (/.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1)
(.f64 1/2 (/.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 2)
(.f64 -1 (/.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -1)
(.f64 -1/2 (/.f64 (/.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1/2))
(.f64 (/.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1/2)
(.f64 -2 (neg.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(.f64 -2 (/.f64 1/2 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(.f64 4 (/.f64 1/2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 4 (-.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1/2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(.f64 (neg.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) -2)
(.f64 (/.f64 1/2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 4)
(.f64 (/.f64 (/.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1/2) -1/2)
(.f64 (/.f64 1/2 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) -2)
(neg.f64 (/.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (cos.f64 th))
✓	0.2b	(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	0.6b	(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 62 to 28 computations (54.8% saved)

series6.0ms (0%)

Counts

3 → 76

Calls

21 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`rational.json-1`
1436×	`rational.json-2`
1436×	`rational.json-4`
1436×	`rational.json-3`
722×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	97
1	113	85
2	479	85
3	3621	85

Stop Event

1×	node limit

Counts

3 → 250

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (cos.f64 th)) (*.f64 (/.f64 1 (cos.f64 th)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (cos.f64 th)) (neg.f64 (/.f64 1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (cos.f64 th)) (/.f64 -1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 1 (cos.f64 th))) (/.f64 2 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (cos.f64 th)) (/.f64 1/2 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (cos.f64 th)) 0) (/.f64 1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (cos.f64 th)) (*.f64 (/.f64 1 (cos.f64 th)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (cos.f64 th)) (/.f64 1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (/.f64 2 (cos.f64 th))) (*.f64 (/.f64 1 (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (/.f64 1 (cos.f64 th)) (/.f64 (/.f64 2 (cos.f64 th)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cos.f64 th)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 (cos.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 th)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (neg.f64 (/.f64 2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 (neg.f64 (/.f64 1 (cos.f64 th))) (neg.f64 (/.f64 1 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/2 (*.f64 2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 1/2 (cos.f64 th)) (/.f64 1/2 (*.f64 2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (neg.f64 (/.f64 1/2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1/2 (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 2 (cos.f64 th))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/2 (cos.f64 th))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (cos.f64 th))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (/.f64 1 (cos.f64 th))) (neg.f64 (/.f64 1 (cos.f64 th)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 2 (cos.f64 th))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1 (cos.f64 th))))))))

simplify148.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1024×	`rational.json-simplify-1`
806×	`rational.json-simplify-24`
794×	`rational.json-simplify-63`
670×	`rational.json-simplify-50`
616×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	513	12948
1	1443	12634
2	6757	12634

Stop Event

1×	node limit

Counts

326 → 332

Calls

Call 1

Inputs
(/.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 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 (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 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 5/24 (/.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (.f64 5/24 (/.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (*.f64 61/720 (/.f64 (pow.f64 th 6) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(/.f64 1 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 1 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 1 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 1 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 1 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 1 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 1 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 1 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 1 (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (/.f64 1 (.f64 (cos.f64 th) (pow.f64 a2 2))) (.f64 -1 (/.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 4) (cos.f64 th)))))
(+.f64 (/.f64 1 (.f64 (cos.f64 th) (pow.f64 a2 2))) (+.f64 (/.f64 (pow.f64 a1 4) (.f64 (cos.f64 th) (pow.f64 a2 6))) (.f64 -1 (/.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 4) (cos.f64 th))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a1 6) (.f64 (cos.f64 th) (pow.f64 a2 8)))) (+.f64 (/.f64 (pow.f64 a1 4) (.f64 (pow.f64 a2 6) (cos.f64 th))) (+.f64 (/.f64 1 (.f64 (cos.f64 th) (pow.f64 a2 2))) (.f64 -1 (/.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 4) (cos.f64 th)))))))
(/.f64 1 (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 1 (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (/.f64 (pow.f64 a2 4) (.f64 (pow.f64 a1 6) (cos.f64 th))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 1 (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (/.f64 (pow.f64 a2 4) (.f64 (pow.f64 a1 6) (cos.f64 th))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 6) (.f64 (pow.f64 a1 8) (cos.f64 th)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 1 (.f64 (pow.f64 a1 2) (cos.f64 th))))))
(/.f64 1 (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 1 (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (/.f64 (pow.f64 a2 4) (.f64 (pow.f64 a1 6) (cos.f64 th))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 1 (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (/.f64 (pow.f64 a2 4) (.f64 (pow.f64 a1 6) (cos.f64 th))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 6) (.f64 (pow.f64 a1 8) (cos.f64 th)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 1 (.f64 (pow.f64 a1 2) (cos.f64 th))))))
(/.f64 1 (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 1 (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (/.f64 (pow.f64 a2 4) (.f64 (pow.f64 a1 6) (cos.f64 th))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 1 (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (/.f64 (pow.f64 a2 4) (.f64 (pow.f64 a1 6) (cos.f64 th))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 6) (.f64 (pow.f64 a1 8) (cos.f64 th)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 1 (.f64 (pow.f64 a1 2) (cos.f64 th))))))
(/.f64 1 (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (pow.f64 a2 4)))) (/.f64 1 (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(+.f64 (/.f64 (pow.f64 a1 4) (.f64 (pow.f64 a2 6) (cos.f64 th))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (pow.f64 a2 4)))) (/.f64 1 (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a1 6) (.f64 (cos.f64 th) (pow.f64 a2 8)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (pow.f64 a2 4)))) (+.f64 (/.f64 1 (.f64 (cos.f64 th) (pow.f64 a2 2))) (/.f64 (pow.f64 a1 4) (.f64 (cos.f64 th) (pow.f64 a2 6))))))
(/.f64 1 (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (pow.f64 a2 4)))) (/.f64 1 (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(+.f64 (/.f64 (pow.f64 a1 4) (.f64 (pow.f64 a2 6) (cos.f64 th))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (pow.f64 a2 4)))) (/.f64 1 (.f64 (cos.f64 th) (pow.f64 a2 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a1 6) (.f64 (cos.f64 th) (pow.f64 a2 8)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (pow.f64 a2 4)))) (+.f64 (/.f64 1 (.f64 (cos.f64 th) (pow.f64 a2 2))) (/.f64 (pow.f64 a1 4) (.f64 (cos.f64 th) (pow.f64 a2 6))))))
1
(+.f64 (*.f64 1/2 (pow.f64 th 2)) 1)
(+.f64 (.f64 1/2 (pow.f64 th 2)) (+.f64 1 (.f64 5/24 (pow.f64 th 4))))
(+.f64 (.f64 61/720 (pow.f64 th 6)) (+.f64 (.f64 1/2 (pow.f64 th 2)) (+.f64 1 (*.f64 5/24 (pow.f64 th 4)))))
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 0)
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (.f64 0 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) 0))
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (neg.f64 (.f64 0 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (neg.f64 (.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
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(.f64 1 (/.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (cos.f64 th)))
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(.f64 2 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1/2 (cos.f64 th))))
(.f64 2 (-.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (cos.f64 th)) (/.f64 1/2 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(.f64 2 (-.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (cos.f64 th)) (.f64 (/.f64 1 (cos.f64 th)) (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(.f64 2 (-.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (cos.f64 th)) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1/2 (cos.f64 th)))))
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(.f64 (neg.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (neg.f64 (/.f64 1 (cos.f64 th))))
(.f64 (/.f64 2 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 1/2)
(.f64 (/.f64 1/2 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 2)
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(.f64 (.f64 (/.f64 1 (cos.f64 th)) (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 2)
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1/2 (cos.f64 th))) 2)
(.f64 (/.f64 1/2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (*.f64 2 (/.f64 2 (cos.f64 th))))
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(-.f64 (.f64 2 (/.f64 2 (cos.f64 th))) (.f64 (/.f64 1 (cos.f64 th)) 3))
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(*.f64 (/.f64 1 (cos.f64 th)) 1)
(*.f64 1/2 (/.f64 2 (cos.f64 th)))
(*.f64 1/2 (+.f64 (/.f64 1 (cos.f64 th)) (/.f64 (/.f64 2 (cos.f64 th)) 2)))
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(*.f64 -1 (neg.f64 (/.f64 1 (cos.f64 th))))
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(*.f64 (/.f64 1/2 (cos.f64 th)) 2)
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(*.f64 (neg.f64 (/.f64 2 (cos.f64 th))) -1/2)
(*.f64 (neg.f64 (/.f64 1/2 (cos.f64 th))) -2)
(*.f64 (/.f64 1/2 (neg.f64 (cos.f64 th))) -2)
(*.f64 (+.f64 (neg.f64 (/.f64 1 (cos.f64 th))) (neg.f64 (/.f64 1 (cos.f64 th)))) -1/2)
(.f64 (/.f64 1/2 (.f64 2 (cos.f64 th))) 4)
(neg.f64 (neg.f64 (/.f64 1 (cos.f64 th))))

Outputs
(/.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)))))
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(.f64 (/.f64 1/2 (cos.f64 th)) (/.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 -1/2 (+.f64 (neg.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (cos.f64 th))) (neg.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (cos.f64 th)))))
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (neg.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (neg.f64 (/.f64 1 (cos.f64 th))))
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 2 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 1/2)
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 1/2 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 2)
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (neg.f64 (/.f64 2 (cos.f64 th))) (neg.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (neg.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (neg.f64 (/.f64 2 (cos.f64 th))))
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (neg.f64 (/.f64 1/2 (cos.f64 th))) (neg.f64 (/.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (neg.f64 (/.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (neg.f64 (/.f64 1/2 (cos.f64 th))))
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 (/.f64 1 (cos.f64 th)) (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 2)
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1/2 (cos.f64 th))) 2)
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 1/2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (*.f64 2 (/.f64 2 (cos.f64 th))))
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 1/2 (neg.f64 (cos.f64 th))) (+.f64 (neg.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (neg.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 2 (/.f64 2 (cos.f64 th))) (/.f64 1/2 (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 2 (/.f64 2 (cos.f64 th))) (-.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1/2 (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (+.f64 (neg.f64 (/.f64 1 (cos.f64 th))) (neg.f64 (/.f64 1 (cos.f64 th)))) (/.f64 1/2 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (+.f64 (neg.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (cos.f64 th))) (neg.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (cos.f64 th)))) -1/2)
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (+.f64 (neg.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (neg.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))) (/.f64 1/2 (neg.f64 (cos.f64 th))))
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 1/2 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (+.f64 (neg.f64 (/.f64 1 (cos.f64 th))) (neg.f64 (/.f64 1 (cos.f64 th)))))
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(neg.f64 (neg.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (cos.f64 th))))
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(neg.f64 (/.f64 (/.f64 1 (cos.f64 th)) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 1 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(+.f64 (/.f64 1 (cos.f64 th)) 0)
(/.f64 1 (cos.f64 th))
(+.f64 (/.f64 1 (cos.f64 th)) (*.f64 (/.f64 1 (cos.f64 th)) 0))
(/.f64 1 (cos.f64 th))
(+.f64 0 (/.f64 1 (cos.f64 th)))
(/.f64 1 (cos.f64 th))
(+.f64 (/.f64 2 (cos.f64 th)) (neg.f64 (/.f64 1 (cos.f64 th))))
(/.f64 1 (cos.f64 th))
(+.f64 (/.f64 2 (cos.f64 th)) (/.f64 -1 (cos.f64 th)))
(/.f64 1 (cos.f64 th))
(+.f64 (neg.f64 (/.f64 1 (cos.f64 th))) (/.f64 2 (cos.f64 th)))
(/.f64 1 (cos.f64 th))
(+.f64 (/.f64 1/2 (cos.f64 th)) (/.f64 1/2 (cos.f64 th)))
(/.f64 1 (cos.f64 th))
(+.f64 (*.f64 (/.f64 1 (cos.f64 th)) 0) (/.f64 1 (cos.f64 th)))
(/.f64 1 (cos.f64 th))
(-.f64 (/.f64 1 (cos.f64 th)) 0)
(/.f64 1 (cos.f64 th))
(-.f64 (/.f64 1 (cos.f64 th)) (*.f64 (/.f64 1 (cos.f64 th)) 0))
(/.f64 1 (cos.f64 th))
(-.f64 0 (neg.f64 (/.f64 1 (cos.f64 th))))
(/.f64 1 (cos.f64 th))
(-.f64 (/.f64 2 (cos.f64 th)) (/.f64 1 (cos.f64 th)))
(/.f64 1 (cos.f64 th))
(-.f64 (.f64 2 (/.f64 2 (cos.f64 th))) (.f64 (/.f64 1 (cos.f64 th)) 3))
(/.f64 1 (cos.f64 th))
(*.f64 1 (/.f64 1 (cos.f64 th)))
(/.f64 1 (cos.f64 th))
(*.f64 2 (/.f64 1/2 (cos.f64 th)))
(/.f64 1 (cos.f64 th))
(*.f64 (/.f64 1 (cos.f64 th)) 1)
(/.f64 1 (cos.f64 th))
(*.f64 1/2 (/.f64 2 (cos.f64 th)))
(/.f64 1 (cos.f64 th))
(*.f64 1/2 (+.f64 (/.f64 1 (cos.f64 th)) (/.f64 (/.f64 2 (cos.f64 th)) 2)))
(/.f64 1 (cos.f64 th))
(*.f64 (/.f64 2 (cos.f64 th)) 1/2)
(/.f64 1 (cos.f64 th))
(*.f64 -1 (neg.f64 (/.f64 1 (cos.f64 th))))
(/.f64 1 (cos.f64 th))
(*.f64 (neg.f64 (/.f64 1 (cos.f64 th))) -1)
(/.f64 1 (cos.f64 th))
(*.f64 (/.f64 1/2 (cos.f64 th)) 2)
(/.f64 1 (cos.f64 th))
(*.f64 -1/2 (neg.f64 (/.f64 2 (cos.f64 th))))
(/.f64 1 (cos.f64 th))
(*.f64 -1/2 (+.f64 (neg.f64 (/.f64 1 (cos.f64 th))) (neg.f64 (/.f64 1 (cos.f64 th)))))
(/.f64 1 (cos.f64 th))
(.f64 4 (/.f64 1/2 (.f64 2 (cos.f64 th))))
(/.f64 1 (cos.f64 th))
(.f64 4 (-.f64 (/.f64 1/2 (cos.f64 th)) (/.f64 1/2 (.f64 2 (cos.f64 th)))))
(/.f64 1 (cos.f64 th))
(*.f64 -2 (neg.f64 (/.f64 1/2 (cos.f64 th))))
(/.f64 1 (cos.f64 th))
(*.f64 -2 (/.f64 1/2 (neg.f64 (cos.f64 th))))
(/.f64 1 (cos.f64 th))
(*.f64 (neg.f64 (/.f64 2 (cos.f64 th))) -1/2)
(/.f64 1 (cos.f64 th))
(*.f64 (neg.f64 (/.f64 1/2 (cos.f64 th))) -2)
(/.f64 1 (cos.f64 th))
(*.f64 (/.f64 1/2 (neg.f64 (cos.f64 th))) -2)
(/.f64 1 (cos.f64 th))
(*.f64 (+.f64 (neg.f64 (/.f64 1 (cos.f64 th))) (neg.f64 (/.f64 1 (cos.f64 th)))) -1/2)
(/.f64 1 (cos.f64 th))
(.f64 (/.f64 1/2 (.f64 2 (cos.f64 th))) 4)
(/.f64 1 (cos.f64 th))
(neg.f64 (neg.f64 (/.f64 1 (cos.f64 th))))
(/.f64 1 (cos.f64 th))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
✓	0.3b	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3)
✓	0.4b	(/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))) (sqrt.f64 2))
✓	0.9b	(-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))

Compiler

Compiled 118 to 39 computations (66.9% saved)

series6.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	a2	@	inf	(/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))) (sqrt.f64 2))
1.0ms	a1	@	0	(/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))) (sqrt.f64 2))
1.0ms	a1	@	inf	(/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))) (sqrt.f64 2))
1.0ms	a2	@	0	(/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))) (sqrt.f64 2))
0.0ms	a1	@	0	(-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`rational.json-1`
1038×	`rational.json-2`
1038×	`rational.json-4`
1038×	`rational.json-3`
988×	`rational.json-simplify-13`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	194
1	104	128
2	376	98
3	2391	98

Stop Event

1×	node limit

Counts

4 → 229

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))
(/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))) (sqrt.f64 2))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3)
(.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a1 a1) (neg.f64 (+.f64 (.f64 (.f64 a1 a1) 3) (.f64 a2 (+.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a1 a1) (+.f64 (neg.f64 (+.f64 (.f64 (.f64 a1 a1) 3) (.f64 a2 (+.f64 a2 a2)))) (-.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a1 a1) (-.f64 (neg.f64 (+.f64 (.f64 (.f64 a1 a1) 3) (.f64 a2 (+.f64 a2 a2)))) (-.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a1 a1) (-.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a2 a2) (-.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (.f64 (.f64 a1 a1) 3) (.f64 a2 (+.f64 a2 a2)))) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) 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-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) (.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1))) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/2)) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 -1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (.f64 (/.f64 1 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 -1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (/.f64 1/4 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (/.f64 1 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))))

simplify134.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1528×	`rational.json-simplify-63`
678×	`rational.json-simplify-24`
396×	`rational.json-simplify-50`
394×	`rational.json-simplify-43`
388×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	429	13041
1	1234	9981
2	6150	9937

Stop Event

1×	node limit

Counts

325 → 312

Calls

Call 1

Inputs
(-.f64 (pow.f64 a2 2) (*.f64 3 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 -2 (pow.f64 a1 2))) (.f64 3 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 -2 (pow.f64 a1 2))) (.f64 3 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 -2 (pow.f64 a1 2))) (.f64 3 (pow.f64 a2 2)))
(*.f64 -2 (pow.f64 a1 2))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 -2 (pow.f64 a1 2))) (.f64 3 (pow.f64 a2 2)))
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(neg.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))

Outputs
(-.f64 (pow.f64 a2 2) (*.f64 3 (pow.f64 a2 2)))
(-.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a2 2) 3))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 -2 (pow.f64 a1 2))) (.f64 3 (pow.f64 a2 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 3)))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 -2 (pow.f64 a1 2))) (.f64 3 (pow.f64 a2 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 3)))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 -2 (pow.f64 a1 2))) (.f64 3 (pow.f64 a2 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 3)))
(*.f64 -2 (pow.f64 a1 2))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 -2 (pow.f64 a1 2))) (.f64 3 (pow.f64 a2 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 3)))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 -2 (pow.f64 a1 2))) (.f64 3 (pow.f64 a2 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 3)))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 -2 (pow.f64 a1 2))) (.f64 3 (pow.f64 a2 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 3)))
(*.f64 -2 (pow.f64 a1 2))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 -2 (pow.f64 a1 2))) (.f64 3 (pow.f64 a2 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 3)))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 -2 (pow.f64 a1 2))) (.f64 3 (pow.f64 a2 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 3)))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 -2 (pow.f64 a1 2))) (.f64 3 (pow.f64 a2 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 3)))
(-.f64 (pow.f64 a1 2) (*.f64 3 (pow.f64 a1 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 -2 (pow.f64 a2 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -2) (.f64 3 (pow.f64 a1 2))))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 -2 (pow.f64 a2 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -2) (.f64 3 (pow.f64 a1 2))))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 -2 (pow.f64 a2 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -2) (.f64 3 (pow.f64 a1 2))))
(*.f64 -2 (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) -2)
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 -2 (pow.f64 a2 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -2) (.f64 3 (pow.f64 a1 2))))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 -2 (pow.f64 a2 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -2) (.f64 3 (pow.f64 a1 2))))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 -2 (pow.f64 a2 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -2) (.f64 3 (pow.f64 a1 2))))
(*.f64 -2 (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) -2)
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 -2 (pow.f64 a2 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -2) (.f64 3 (pow.f64 a1 2))))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 -2 (pow.f64 a2 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -2) (.f64 3 (pow.f64 a1 2))))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 -2 (pow.f64 a2 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -2) (.f64 3 (pow.f64 a1 2))))
(.f64 -1/2 (/.f64 (-.f64 (pow.f64 a2 2) (.f64 3 (pow.f64 a2 2))) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (-.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) 3)) (sqrt.f64 2)))
(.f64 (-.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) 3)) (/.f64 -1/2 (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a2 2) (.f64 3 (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 -1/2 (/.f64 (-.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) 3)) (sqrt.f64 2))))
(/.f64 (+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -1/2) (.f64 (pow.f64 a2 2) -3/2))) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a2 2) (.f64 3 (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 -1/2 (/.f64 (-.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) 3)) (sqrt.f64 2))))
(/.f64 (+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -1/2) (.f64 (pow.f64 a2 2) -3/2))) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a2 2) (.f64 3 (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 -1/2 (/.f64 (-.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) 3)) (sqrt.f64 2))))
(/.f64 (+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -1/2) (.f64 (pow.f64 a2 2) -3/2))) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) 3)) (sqrt.f64 2))))
(/.f64 (+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -1/2) (.f64 (pow.f64 a2 2) -3/2))) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) 3)) (sqrt.f64 2))))
(/.f64 (+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -1/2) (.f64 (pow.f64 a2 2) -3/2))) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) 3)) (sqrt.f64 2))))
(/.f64 (+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -1/2) (.f64 (pow.f64 a2 2) -3/2))) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) 3)) (sqrt.f64 2))))
(/.f64 (+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -1/2) (.f64 (pow.f64 a2 2) -3/2))) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) 3)) (sqrt.f64 2))))
(/.f64 (+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -1/2) (.f64 (pow.f64 a2 2) -3/2))) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) 3)) (sqrt.f64 2))))
(/.f64 (+.f64 (pow.f64 a1 2) (-.f64 (.f64 (pow.f64 a2 2) -1/2) (.f64 (pow.f64 a2 2) -3/2))) (sqrt.f64 2))
(.f64 -1/2 (/.f64 (-.f64 (pow.f64 a1 2) (.f64 3 (pow.f64 a1 2))) (sqrt.f64 2)))
(/.f64 -1/2 (/.f64 (sqrt.f64 2) (-.f64 (pow.f64 a1 2) (*.f64 3 (pow.f64 a1 2)))))
(/.f64 (-.f64 (.f64 (pow.f64 a1 2) -1/2) (.f64 (pow.f64 a1 2) -3/2)) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a1 2) (.f64 3 (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 -1/2 (/.f64 (sqrt.f64 2) (-.f64 (pow.f64 a1 2) (*.f64 3 (pow.f64 a1 2))))))
(/.f64 (+.f64 (pow.f64 a2 2) (-.f64 (.f64 (pow.f64 a1 2) -1/2) (.f64 (pow.f64 a1 2) -3/2))) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a1 2) (.f64 3 (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 -1/2 (/.f64 (sqrt.f64 2) (-.f64 (pow.f64 a1 2) (*.f64 3 (pow.f64 a1 2))))))
(/.f64 (+.f64 (pow.f64 a2 2) (-.f64 (.f64 (pow.f64 a1 2) -1/2) (.f64 (pow.f64 a1 2) -3/2))) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a1 2) (.f64 3 (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 -1/2 (/.f64 (sqrt.f64 2) (-.f64 (pow.f64 a1 2) (*.f64 3 (pow.f64 a1 2))))))
(/.f64 (+.f64 (pow.f64 a2 2) (-.f64 (.f64 (pow.f64 a1 2) -1/2) (.f64 (pow.f64 a1 2) -3/2))) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.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 -1/2 (/.f64 (sqrt.f64 2) (-.f64 (pow.f64 a1 2) (*.f64 3 (pow.f64 a1 2))))))
(/.f64 (+.f64 (pow.f64 a2 2) (-.f64 (.f64 (pow.f64 a1 2) -1/2) (.f64 (pow.f64 a1 2) -3/2))) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.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 -1/2 (/.f64 (sqrt.f64 2) (-.f64 (pow.f64 a1 2) (*.f64 3 (pow.f64 a1 2))))))
(/.f64 (+.f64 (pow.f64 a2 2) (-.f64 (.f64 (pow.f64 a1 2) -1/2) (.f64 (pow.f64 a1 2) -3/2))) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.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 -1/2 (/.f64 (sqrt.f64 2) (-.f64 (pow.f64 a1 2) (*.f64 3 (pow.f64 a1 2))))))
(/.f64 (+.f64 (pow.f64 a2 2) (-.f64 (.f64 (pow.f64 a1 2) -1/2) (.f64 (pow.f64 a1 2) -3/2))) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.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 -1/2 (/.f64 (sqrt.f64 2) (-.f64 (pow.f64 a1 2) (*.f64 3 (pow.f64 a1 2))))))
(/.f64 (+.f64 (pow.f64 a2 2) (-.f64 (.f64 (pow.f64 a1 2) -1/2) (.f64 (pow.f64 a1 2) -3/2))) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.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 -1/2 (/.f64 (sqrt.f64 2) (-.f64 (pow.f64 a1 2) (*.f64 3 (pow.f64 a1 2))))))
(/.f64 (+.f64 (pow.f64 a2 2) (-.f64 (.f64 (pow.f64 a1 2) -1/2) (.f64 (pow.f64 a1 2) -3/2))) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.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 -1/2 (/.f64 (sqrt.f64 2) (-.f64 (pow.f64 a1 2) (*.f64 3 (pow.f64 a1 2))))))
(/.f64 (+.f64 (pow.f64 a2 2) (-.f64 (.f64 (pow.f64 a1 2) -1/2) (.f64 (pow.f64 a1 2) -3/2))) (sqrt.f64 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) 3)
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 3 (pow.f64 a1 2))
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 3 (pow.f64 a1 2))
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 3 (pow.f64 a1 2))
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 3 (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) 3)
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 3 (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) 3)
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 3 (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a2 2) 3) (.f64 3 (pow.f64 a1 2)))
(*.f64 3 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 -1/2 (-.f64 (pow.f64 a2 2) (.f64 3 (pow.f64 a2 2))))
(.f64 (-.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) 3)) -1/2)
(-.f64 (.f64 (pow.f64 a2 2) -1/2) (.f64 (pow.f64 a2 2) -3/2))
(+.f64 (pow.f64 a1 2) (.f64 -1/2 (-.f64 (pow.f64 a2 2) (.f64 3 (pow.f64 a2 2)))))
(+.f64 (pow.f64 a1 2) (.f64 (-.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) 3)) -1/2))
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(/.f64 (+.f64 (.f64 3 (.f64 a2 (neg.f64 a2))) (.f64 3 (.f64 a1 (neg.f64 a1)))) -1)
(+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 3 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (.f64 3 (.f64 a1 (neg.f64 a1))) (.f64 3 (.f64 a2 (neg.f64 a2)))) -1)
(+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 3 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) -3))
(+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 3 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (-.f64 a1 a1)))
(+.f64 (.f64 a1 a1) (+.f64 a1 (-.f64 (.f64 a2 a2) a1)))
(+.f64 (.f64 a1 a1) (+.f64 (-.f64 a1 a1) (.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 a1 a1)))
(+.f64 (.f64 a2 a2) (-.f64 (.f64 a1 a1) (-.f64 a1 a1)))
(+.f64 (.f64 a1 a1) (-.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (-.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (-.f64 a2 a2)))
(+.f64 (.f64 a2 a2) (-.f64 (.f64 a1 a1) (-.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 a2 a2)))
(+.f64 (.f64 a2 a2) (-.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 0))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 0 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3/2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/2) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 5/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 (.f64 a1 a1) -1/2) (.f64 1/2 (+.f64 (.f64 (.f64 a1 a1) 3) (.f64 a2 (+.f64 a2 a2)))))
(+.f64 (.f64 -1/2 (.f64 a1 a1)) (.f64 (+.f64 (.f64 3 (.f64 a1 a1)) (.f64 a2 (+.f64 a2 a2))) 1/2))
(+.f64 (.f64 a1 (.f64 -1/2 a1)) (+.f64 (.f64 a2 a2) (.f64 (.f64 3 (.f64 a1 a1)) 1/2)))
(+.f64 (.f64 1/2 (+.f64 (.f64 (.f64 a1 a1) 3) (.f64 a2 (+.f64 a2 a2)))) (.f64 (.f64 a1 a1) -1/2))
(+.f64 (.f64 -1/2 (.f64 a1 a1)) (.f64 (+.f64 (.f64 3 (.f64 a1 a1)) (.f64 a2 (+.f64 a2 a2))) 1/2))
(+.f64 (.f64 a1 (.f64 -1/2 a1)) (+.f64 (.f64 a2 a2) (.f64 (.f64 3 (.f64 a1 a1)) 1/2)))
(+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 a2 (+.f64 a2 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 a1 (+.f64 a1 a1)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (+.f64 (.f64 a1 a1) (-.f64 a2 a2)) (.f64 a2 a2))
(+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (-.f64 a2 a2)))
(+.f64 (+.f64 (.f64 a2 a2) (-.f64 a1 a1)) (.f64 a1 a1))
(+.f64 (.f64 a1 a1) (+.f64 a1 (-.f64 (.f64 a2 a2) a1)))
(+.f64 (.f64 a1 a1) (+.f64 (-.f64 a1 a1) (.f64 a2 a2)))
(+.f64 (-.f64 (.f64 a1 a1) (-.f64 a2 a2)) (.f64 a2 a2))
(+.f64 (.f64 a2 a2) (-.f64 (.f64 a1 a1) (-.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 a2 a2)))
(+.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 a2 (+.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (-.f64 (.f64 a2 a2) (-.f64 a1 a1)) (.f64 a1 a1))
(+.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 a1 a1)))
(+.f64 (.f64 a2 a2) (-.f64 (.f64 a1 a1) (-.f64 a1 a1)))
(+.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 a1 (+.f64 a1 a1)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 5/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (-.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 a1 a1))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (-.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 a2 a2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 (.f64 a2 a2) -1/2) (.f64 -1/2 (+.f64 (.f64 a1 a1) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) -3))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 -1/2 (+.f64 (.f64 a1 a1) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3))) (.f64 (*.f64 a2 a2) -1/2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/2) 1/2) (.f64 1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 5/2)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 5/2)) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/2) 1/2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 a2 a2))
(+.f64 (.f64 a2 a2) (-.f64 (.f64 a1 a1) (-.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 a2 a2)))
(-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 a1 a1))
(+.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 a1 a1)))
(+.f64 (.f64 a2 a2) (-.f64 (.f64 a1 a1) (-.f64 a1 a1)))
(-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 0))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(-.f64 0 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3/2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -5/2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(-.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) -2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(-.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3/2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) (*.f64 a2 a2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1))) (*.f64 a1 a1))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(-.f64 (.f64 1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/2)) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3/2) 1/2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) -2) -2)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(/.f64 -1/2 (/.f64 -1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(/.f64 -1/2 (.f64 (/.f64 1 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) -2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(/.f64 1 (.f64 (/.f64 -1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(/.f64 1/2 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2) 2)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(/.f64 -1/4 (/.f64 1/4 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(/.f64 1/4 (/.f64 1 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 4)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(neg.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))

eval804.0ms (5.2%)

Compiler: Compiled 56574 to 31137 computations (45% saved)

prune969.0ms (6.3%)

Pruning

33 alts after pruning (27 fresh and 6 done)

	Pruned	Kept	Total
New	2310	20	2330
Fresh	5	7	12
Picked	1	0	1
Done	1	6	7
Total	2317	33	2350

Error

Counts

2350 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	41.2b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
▶	39.2b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	0.5b	(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 1 (cos.f64 th)))
✓	0.6b	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	8.4b	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 3)))
✓	0.6b	(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	26.1b	(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	26.2b	(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1))) (*.f64 a1 a1)) (sqrt.f64 2))
	25.9b	(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 2 a2))) (.f64 a2 a2)) (sqrt.f64 2))
	0.4b	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶	25.9b	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
▶	0.4b	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2))
	0.6b	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 2) 3)))
	0.5b	(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 (cos.f64 th)))))
✓	0.6b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	26.1b	(/.f64 1 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
▶	26.1b	(/.f64 1/2 (/.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (sqrt.f64 2))))
	26.1b	(/.f64 -1 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 2))))
	25.9b	(+.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	1.2b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))))
	39.2b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a1 2))
	26.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
	26.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)) (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))))
	26.6b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
	32.0b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 a1 (-.f64 a1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
✓	25.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	26.6b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))))
▶	0.7b	(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1/4)
	0.8b	(.f64 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a2 a2) (/.f64 a1 (/.f64 1/2 a1)))))
	1.1b	(.f64 (cos.f64 th) (/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3/2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) -5/2)) (sqrt.f64 2)))
✓	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
	1.0b	(.f64 (cos.f64 th) (/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/3))) (sqrt.f64 2)))

Compiler

Compiled 1231 to 836 computations (32.1% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 47 to 14 computations (70.2% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite111.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1246×	`rational.json-simplify-6`
1158×	`rational.json-simplify-13`
1138×	`rational.json-simplify-21`
1134×	`rational.json-simplify-3`
936×	`rational.json-simplify-12`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	82	68
2	284	68
3	1659	68

Stop Event

1×	node limit

Counts

2 → 427

Calls

Call 1

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

Outputs

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

simplify177.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1098×	`rational.json-simplify-2`
994×	`rational.json-simplify-5`
848×	`rational.json-simplify-1`
758×	`rational.json-simplify-3`
620×	`rational.json-simplify-12`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	861	21873
1	2729	21003

Stop Event

1×	node limit

Counts

499 → 545

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 12 computations (61.3% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 66 to 33 computations (50% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1400×	`rational.json-simplify-6`
1282×	`rational.json-simplify-29`
1066×	`rational.json-simplify-3`
858×	`rational.json-simplify-12`
822×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	101
1	103	89
2	387	89
3	2274	89

Stop Event

1×	node limit

Counts

3 → 319

Calls

Call 1

Inputs

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

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

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (/.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1/2 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (neg.f64 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 1/2 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (neg.f64 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))))

simplify131.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1566×	`rational.json-simplify-2`
1010×	`rational.json-simplify-3`
876×	`rational.json-simplify-12`
868×	`rational.json-simplify-1`
614×	`rational.json-simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	661	15073
1	2027	14725

Stop Event

1×	node limit

Counts

391 → 395

Calls

Call 1

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

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

localize9.0ms (0.1%)

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)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`rational.json-1`
1030×	`rational.json-2`
1030×	`rational.json-3`
1028×	`rational.json-4`
968×	`rational.json-simplify-67`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	46	17
2	140	17
3	595	17
4	4088	17

Stop Event

1×	node limit

Counts

1 → 144

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1376×	`rational.json-simplify-35`
1370×	`rational.json-simplify-37`
1112×	`rational.json-simplify-50`
1078×	`rational.json-simplify-61`
880×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	301	2448
1	1001	2448
2	4142	2448

Stop Event

1×	node limit

Counts

144 → 145

Calls

Call 1

Inputs
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 0)
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 (pow.f64 a1 2) 0))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) 0) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (-.f64 (/.f64 0 (sqrt.f64 2)) (*.f64 (pow.f64 a1 2) 0)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (-.f64 (*.f64 (pow.f64 a1 2) 0) (/.f64 0 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 0 (sqrt.f64 2)) (*.f64 (pow.f64 a1 2) 0)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 -1 (/.f64 (*.f64 2 (sqrt.f64 2)) 0)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 -1 (/.f64 1/2 (/.f64 0 (sqrt.f64 2)))))
(+.f64 0 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) (*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))))
(+.f64 (*.f64 (pow.f64 a1 2) 0) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) 0) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
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(+.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 3)) (/.f64 4 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))))
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(+.f64 (+.f64 (/.f64 0 (sqrt.f64 2)) (*.f64 (pow.f64 a1 2) 0)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 0)
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(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 (pow.f64 a1 2) 0))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) 0) (sqrt.f64 2)))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (-.f64 (/.f64 0 (sqrt.f64 2)) (*.f64 (pow.f64 a1 2) 0)))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (-.f64 (*.f64 (pow.f64 a1 2) 0) (/.f64 0 (sqrt.f64 2))))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 0 (sqrt.f64 2)) (*.f64 (pow.f64 a1 2) 0)))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 a1 2) 0) (/.f64 (.f64 (pow.f64 a1 2) 0) (sqrt.f64 2))))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 a1 2) 0) (.f64 (pow.f64 a1 2) 0)))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) -1/2) 0)))
(-.f64 0 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))))
(-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))))
(-.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) (neg.f64 (*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(-.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) (-.f64 (/.f64 0 (sqrt.f64 2)) (*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(-.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) (/.f64 (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2) (sqrt.f64 2)))
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(-.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) (/.f64 1 (/.f64 (sqrt.f64 2) (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2))))
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(-.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) -1/2) (.f64 2 (.f64 2 (pow.f64 a1 2))))))
(-.f64 (*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(-.f64 (.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) 0) (/.f64 (*.f64 (pow.f64 a1 2) 0) (sqrt.f64 2)))))
(-.f64 (.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) 0) (*.f64 (pow.f64 a1 2) 0))))
(-.f64 (*.f64 (pow.f64 a1 2) 0) (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))))
(-.f64 (/.f64 (*.f64 (pow.f64 a1 2) 0) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))))
(-.f64 (.f64 (pow.f64 a1 2) (/.f64 1/2 (sqrt.f64 2))) (-.f64 (.f64 (pow.f64 a1 2) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(-.f64 (*.f64 (pow.f64 a1 2) (/.f64 1/2 (sqrt.f64 2))) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a1 2))) 1/2)))
(-.f64 (*.f64 (pow.f64 a1 2) (/.f64 1/2 (sqrt.f64 2))) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) -1/2) (pow.f64 a1 2))))
(-.f64 (-.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) (neg.f64 (*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(-.f64 (-.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) (-.f64 (/.f64 0 (sqrt.f64 2)) (*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(-.f64 (-.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) (/.f64 (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2) (sqrt.f64 2))))
(-.f64 (-.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) (.f64 -1 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(-.f64 (/.f64 4 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 3))
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(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 a1 2) 3) (.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (pow.f64 a1 2) 3) (.f64 2 (sqrt.f64 2)))) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) 3) (.f64 2 (sqrt.f64 2))) (*.f64 (pow.f64 a1 2) (/.f64 1/2 (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 3)) (.f64 1/2 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 3))) (+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 3)) (*.f64 (pow.f64 a1 2) (/.f64 1/2 (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 (pow.f64 a1 2) 3)) (.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 (pow.f64 a1 2) 3))) (+.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 (pow.f64 a1 2) 3)) (*.f64 (pow.f64 a1 2) (/.f64 1/2 (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 2 (.f64 2 (pow.f64 a1 2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 2 (.f64 2 (pow.f64 a1 2))))) (+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 2 (.f64 2 (pow.f64 a1 2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (pow.f64 a1 2) 3))))
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(-.f64 (+.f64 (+.f64 (/.f64 4 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 4 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)))) (+.f64 (/.f64 4 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 4 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))))) (+.f64 (+.f64 (/.f64 4 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 4 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)))) (+.f64 (/.f64 4 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 3))))
(.f64 2 (.f64 (pow.f64 a1 2) (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (pow.f64 a1 2) (/.f64 1 (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (.f64 2 (pow.f64 a1 2)) (/.f64 1/2 (sqrt.f64 2)))
(.f64 1/2 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 2 (pow.f64 a1 2)))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 (.f64 1/2 (/.f64 1/2 (pow.f64 a1 2)))))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))))
(*.f64 -1 (/.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2))))
(*.f64 (neg.f64 (pow.f64 a1 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (neg.f64 (pow.f64 a1 2)) (neg.f64 (/.f64 1 (sqrt.f64 2))))
(*.f64 (neg.f64 (pow.f64 a1 2)) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (neg.f64 (pow.f64 a1 2)) (/.f64 (/.f64 -1/2 (sqrt.f64 2)) 1/2))
(.f64 (neg.f64 (pow.f64 a1 2)) (-.f64 (/.f64 1 (sqrt.f64 2)) (.f64 2 (/.f64 1 (sqrt.f64 2)))))
(*.f64 (neg.f64 (pow.f64 a1 2)) (-.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2)))
(*.f64 (neg.f64 (pow.f64 a1 2)) (-.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) -1)
(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a1 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 -1 (*.f64 (pow.f64 a1 2) 0)) (neg.f64 (pow.f64 a1 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (neg.f64 (.f64 (pow.f64 a1 2) 3)) (neg.f64 (.f64 2 (.f64 2 (pow.f64 a1 2))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 -1 (.f64 (pow.f64 a1 2) 3)) (neg.f64 (.f64 2 (*.f64 2 (pow.f64 a1 2))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (pow.f64 a1 2) -1/2) (.f64 -1/2 (.f64 (pow.f64 a1 2) 3))))
(*.f64 -1/2 (-.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(.f64 -1/2 (-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 3)))
(.f64 -1/2 (neg.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(.f64 -1/2 (-.f64 (/.f64 0 (sqrt.f64 2)) (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(*.f64 -1/2 (/.f64 (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2) (sqrt.f64 2)))
(.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2)))
(.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) 1/2)
(*.f64 (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2) (-.f64 (+.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 -1/2 (sqrt.f64 2))) (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2) (-.f64 (+.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2)))
(*.f64 (/.f64 -1/2 (sqrt.f64 2)) (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2))
(.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 -2 (pow.f64 a1 2)))
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(.f64 (/.f64 -1/2 (sqrt.f64 2)) (-.f64 (.f64 (pow.f64 a1 2) 3) (+.f64 (pow.f64 a1 2) (.f64 2 (.f64 2 (pow.f64 a1 2))))))
(.f64 (/.f64 -1/2 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 2 (pow.f64 a1 2)) (.f64 2 (.f64 2 (pow.f64 a1 2)))) (/.f64 (.f64 2 (.f64 2 (pow.f64 a1 2))) 1/2)))
(.f64 (/.f64 -1/2 (sqrt.f64 2)) (-.f64 (.f64 2 (.f64 2 (pow.f64 a1 2))) (+.f64 (.f64 (pow.f64 a1 2) 3) (*.f64 (pow.f64 a1 2) 3))))
(.f64 (.f64 1/2 (/.f64 1/2 (sqrt.f64 2))) (.f64 2 (.f64 2 (pow.f64 a1 2))))
(.f64 (.f64 1/2 (/.f64 1/2 (sqrt.f64 2))) (*.f64 4 (pow.f64 a1 2)))
(.f64 (.f64 (pow.f64 a1 2) (/.f64 1/2 (sqrt.f64 2))) 2)
(.f64 (.f64 2 (.f64 2 (pow.f64 a1 2))) (.f64 1/2 (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (-.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) -1/2)
(*.f64 (/.f64 4 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))) 1/4)
(.f64 (-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 3)) -1/2)
(.f64 (neg.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) -1/2)
(.f64 (-.f64 (/.f64 0 (sqrt.f64 2)) (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) -1/2)
(*.f64 -2 (/.f64 1/2 (/.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a1 2)))))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 (pow.f64 a1 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2) (sqrt.f64 2)) -1/2)
(.f64 (.f64 -2 (pow.f64 a1 2)) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) (neg.f64 (pow.f64 a1 2)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2)) -1/2)
(*.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (pow.f64 a1 2)))
(.f64 4 (/.f64 1/2 (.f64 2 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(.f64 (.f64 4 (pow.f64 a1 2)) (*.f64 1/2 (/.f64 1/2 (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2) (.f64 (pow.f64 a1 2) 1/2))
(.f64 (/.f64 (.f64 2 (*.f64 2 (pow.f64 a1 2))) 1/2) (/.f64 1/2 (/.f64 (sqrt.f64 2) 1/4)))
(*.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2) (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2)) (/.f64 1/2 (/.f64 (sqrt.f64 2) -1/2)))
(*.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) 1/2) (neg.f64 (pow.f64 a1 2)))
(*.f64 (/.f64 1/2 (/.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a1 2)))) -2)
(*.f64 (/.f64 1/2 (/.f64 (sqrt.f64 2) -1/2)) (+.f64 (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2) (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2)))
(.f64 (+.f64 (.f64 -2 (pow.f64 a1 2)) (*.f64 -2 (pow.f64 a1 2))) (/.f64 1/2 (/.f64 (sqrt.f64 2) -1/2)))
(*.f64 (+.f64 (/.f64 (pow.f64 a1 2) (/.f64 (sqrt.f64 2) -1/2)) (/.f64 (pow.f64 a1 2) (/.f64 (sqrt.f64 2) -1/2))) -1)
(neg.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))))

Outputs
(+.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)) (/.f64 0 (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) 0))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) 0) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (-.f64 (/.f64 0 (sqrt.f64 2)) (*.f64 (pow.f64 a1 2) 0)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (-.f64 (*.f64 (pow.f64 a1 2) 0) (/.f64 0 (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 0 (sqrt.f64 2)) (*.f64 (pow.f64 a1 2) 0)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 -1 (/.f64 (*.f64 2 (sqrt.f64 2)) 0)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 -1 (/.f64 1/2 (/.f64 0 (sqrt.f64 2)))))
(/.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 0 (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
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(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
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(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
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(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
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(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
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(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
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(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
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(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
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(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
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(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 0)
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(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
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(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) 0) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
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(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
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(.f64 (.f64 2 (.f64 2 (pow.f64 a1 2))) (.f64 1/2 (/.f64 1/2 (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (-.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) -1/2)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 4 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))) 1/4)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 3)) -1/2)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (neg.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) -1/2)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (-.f64 (/.f64 0 (sqrt.f64 2)) (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) -1/2)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 -2 (/.f64 1/2 (/.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a1 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 (pow.f64 a1 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2) (sqrt.f64 2)) -1/2)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (.f64 -2 (pow.f64 a1 2)) (/.f64 -1/2 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) (neg.f64 (pow.f64 a1 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2)) -1/2)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (pow.f64 a1 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 4 (/.f64 1/2 (.f64 2 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (.f64 4 (pow.f64 a1 2)) (*.f64 1/2 (/.f64 1/2 (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) 1/2) (.f64 (pow.f64 a1 2) 1/2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (.f64 2 (*.f64 2 (pow.f64 a1 2))) 1/2) (/.f64 1/2 (/.f64 (sqrt.f64 2) 1/4)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2) (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2)) (/.f64 1/2 (/.f64 (sqrt.f64 2) -1/2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) 1/2) (neg.f64 (pow.f64 a1 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 1/2 (/.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a1 2)))) -2)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 1/2 (/.f64 (sqrt.f64 2) -1/2)) (+.f64 (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2) (/.f64 (neg.f64 (pow.f64 a1 2)) 1/2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (+.f64 (.f64 -2 (pow.f64 a1 2)) (*.f64 -2 (pow.f64 a1 2))) (/.f64 1/2 (/.f64 (sqrt.f64 2) -1/2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (+.f64 (/.f64 (pow.f64 a1 2) (/.f64 (sqrt.f64 2) -1/2)) (/.f64 (pow.f64 a1 2) (/.f64 (sqrt.f64 2) -1/2))) -1)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(neg.f64 (/.f64 (pow.f64 a1 2) (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1/4)
✓	0.2b	(/.f64 (sqrt.f64 2) (cos.f64 th))
✓	0.4b	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 4 (/.f64 (sqrt.f64 2) (cos.f64 th))))
✓	0.6b	(/.f64 4 (/.f64 (sqrt.f64 2) (cos.f64 th)))

Compiler

Compiled 70 to 34 computations (51.4% saved)

series9.0ms (0.1%)

Counts

4 → 88

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	a1	@	-inf	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 4 (/.f64 (sqrt.f64 2) (cos.f64 th))))
0.0ms	th	@	0	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 4 (/.f64 (sqrt.f64 2) (cos.f64 th))))
0.0ms	th	@	0	(/.f64 (sqrt.f64 2) (cos.f64 th))
0.0ms	th	@	0	(/.f64 4 (/.f64 (sqrt.f64 2) (cos.f64 th)))
0.0ms	th	@	inf	(/.f64 (sqrt.f64 2) (cos.f64 th))

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`rational.json-1`
1380×	`rational.json-2`
1380×	`rational.json-4`
1380×	`rational.json-3`
1086×	`rational.json-simplify-33`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	132
1	113	132
2	443	120
3	3095	120

Stop Event

1×	node limit

Counts

4 → 319

Calls

Call 1

Inputs
(/.f64 4 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 4 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1/4)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)) (neg.f64 (/.f64 0 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)) (.f64 4 (/.f64 0 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)) (/.f64 -1 (/.f64 (.f64 (sqrt.f64 2) 1/4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0) (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -4) (/.f64 (.f64 (cos.f64 th) 8) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (cos.f64 th) 8) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 0 (sqrt.f64 2))) (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 4 (/.f64 0 (sqrt.f64 2))) (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)) (neg.f64 (/.f64 0 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)) (.f64 4 (/.f64 0 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (cos.f64 th) 8) (sqrt.f64 2)) (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (.f64 (cos.f64 th) 8) (sqrt.f64 2)) 2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)) (.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (/.f64 4 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (.f64 (cos.f64 th) 8) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (/.f64 (.f64 (cos.f64 th) 1/2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (cos.f64 th) 1/2) (sqrt.f64 2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (cos.f64 th)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 2)) (.f64 4 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (sqrt.f64 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (/.f64 1/2 (sqrt.f64 2))) (.f64 2 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (/.f64 1/2 (sqrt.f64 2))) (/.f64 1 (/.f64 1/2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (/.f64 1/2 (sqrt.f64 2))) (+.f64 0 (/.f64 1 (/.f64 1/2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -4) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (cos.f64 th)) (.f64 4 (/.f64 1/2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (cos.f64 th) 8) (sqrt.f64 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 (cos.f64 th) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (/.f64 1/2 (cos.f64 th))) (.f64 (.f64 4 (/.f64 1/2 (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (.f64 (cos.f64 th) 1/2) (sqrt.f64 2))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 1/2 (cos.f64 th))) (.f64 4 (/.f64 1/2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (/.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 16 (/.f64 1/2 (/.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 16 (-.f64 (/.f64 (.f64 (cos.f64 th) 1/2) (sqrt.f64 2)) (/.f64 1/2 (/.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 8) (/.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -8 (neg.f64 (/.f64 (.f64 (cos.f64 th) 1/2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -8 (/.f64 1/2 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 (cos.f64 th)) (neg.f64 (cos.f64 th))) (/.f64 1/2 (neg.f64 (.f64 (sqrt.f64 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -4) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -4)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 4 (/.f64 1/2 (sqrt.f64 2))) 2) (/.f64 1/2 (/.f64 1/2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (neg.f64 (.f64 (sqrt.f64 2) 1/4))) (+.f64 (neg.f64 (cos.f64 th)) (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -4))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 0 (/.f64 (sqrt.f64 2) (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(sqrt.f64 2) (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 2 (.f64 a1 a1)))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3) (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (cos.f64 th) 0) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))

simplify154.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1298×	`rational.json-simplify-13`
1204×	`rational.json-simplify-28`
1132×	`rational.json-simplify-27`
1068×	`rational.json-simplify-24`
632×	`rational.json-simplify-14`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	655	20039
1	2387	19607

Stop Event

1×	node limit

Counts

407 → 510

Calls

Call 1

Inputs
(/.f64 4 (sqrt.f64 2))
(+.f64 (.f64 -2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (.f64 4 (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (*.f64 4 (/.f64 1 (sqrt.f64 2)))))
(+.f64 (.f64 -1/180 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (.f64 4 (/.f64 1 (sqrt.f64 2))))))
(*.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 4 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))) (.f64 4 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))) (.f64 4 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))) (.f64 4 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))
(.f64 4 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (.f64 4 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))) (.f64 4 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))))
(+.f64 (.f64 4 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))) (.f64 4 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))))
(+.f64 (.f64 4 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))) (.f64 4 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))))
(.f64 4 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (.f64 4 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))) (.f64 4 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))))
(+.f64 (.f64 4 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))) (.f64 4 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))))
(+.f64 (.f64 4 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))) (.f64 4 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))))
(.f64 4 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
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(-.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (*.f64 (sqrt.f64 2) 0))
(-.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (neg.f64 (/.f64 0 (cos.f64 th))))
(-.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 0 (*.f64 2 (cos.f64 th))))
(-.f64 0 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(-.f64 (/.f64 0 (cos.f64 th)) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(-.f64 (/.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
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(*.f64 (sqrt.f64 2) (/.f64 1 (cos.f64 th)))
(*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)
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(*.f64 1/2 (/.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 1/2 (cos.f64 th)) (.f64 2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(*.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))) -1)
(*.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 -1/2 (+.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))))
(*.f64 (/.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1/2)
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(*.f64 (+.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))) (/.f64 1/2 (neg.f64 (cos.f64 th))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))) -1/2)
(*.f64 (/.f64 1/2 (neg.f64 (cos.f64 th))) (+.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1/2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
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(+.f64 (.f64 1/4 (.f64 (/.f64 (.f64 4 (cos.f64 th)) (sqrt.f64 2)) (.f64 a1 a1))) (.f64 1/4 (/.f64 (.f64 (.f64 a2 a2) (.f64 4 (cos.f64 th))) (sqrt.f64 2))))
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(-.f64 (.f64 4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 1/4 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 1/4 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 0)))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 0 (sqrt.f64 2))))
(-.f64 0 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 4 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 1/4)))
(/.f64 (cos.f64 th) (/.f64 (.f64 (sqrt.f64 2) 1/4) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/4)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 1/4 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 4 (cos.f64 th))) 1/4))
(/.f64 (.f64 4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 4)
(/.f64 1/4 (/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 4 (cos.f64 th)))))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (.f64 4 (cos.f64 th))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/4)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (.f64 1/4 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 4 (cos.f64 th)))) 1/4))
(/.f64 1 (/.f64 -1 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (.f64 1/4 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 (.f64 4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1/4))
(/.f64 (.f64 4 (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/4)))
(/.f64 -1 (/.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))) (.f64 1/4 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 -4 (/.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 1/4)))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) -1)
(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(/.f64 (neg.f64 (cos.f64 th)) (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 1/4 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/4) (/.f64 (sqrt.f64 2) (.f64 4 (cos.f64 th))))
(/.f64 (.f64 1/4 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (.f64 2 (cos.f64 th)) (/.f64 (.f64 2 (sqrt.f64 2)) (.f64 1/4 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/4) (/.f64 1/2 (cos.f64 th))) (.f64 (*.f64 (sqrt.f64 2) 1/4) 2))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 1/4) (/.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1/8)
(/.f64 (/.f64 (.f64 1/4 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2)) (/.f64 1 (cos.f64 th)))
(/.f64 (/.f64 (.f64 1/4 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (*.f64 2 (sqrt.f64 2))) (/.f64 1/2 (cos.f64 th)))
(/.f64 (/.f64 (.f64 1/4 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 1/2 (cos.f64 th))) (*.f64 2 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 1/4 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1/2)
(/.f64 (.f64 (cos.f64 th) 1/4) (/.f64 (sqrt.f64 2) (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (.f64 1/4 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (neg.f64 (/.f64 (sqrt.f64 2) (.f64 4 (cos.f64 th)))))
(/.f64 (.f64 1/4 (.f64 4 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 2 (sqrt.f64 2))))) (/.f64 1/2 (cos.f64 th)))
(/.f64 (.f64 1/4 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (*.f64 (sqrt.f64 2) 1/4))
(/.f64 (.f64 1/4 (neg.f64 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/4)) (neg.f64 (/.f64 (sqrt.f64 2) (.f64 4 (cos.f64 th)))))
(/.f64 (neg.f64 (.f64 1/4 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) -1)
(/.f64 (-.f64 (.f64 1/4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (-.f64 (.f64 1/4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (.f64 1/4 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (-.f64 (-.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(/.f64 (-.f64 (-.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(/.f64 (-.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(/.f64 (-.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 2 (.f64 a1 a1)))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3) (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(/.f64 (-.f64 (.f64 (cos.f64 th) 0) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
(neg.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))

Outputs
(/.f64 4 (sqrt.f64 2))
(+.f64 (.f64 -2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (.f64 4 (/.f64 1 (sqrt.f64 2))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 4 (sqrt.f64 2)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (*.f64 4 (/.f64 1 (sqrt.f64 2)))))
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(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
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(/.f64 (+.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (.f64 0 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (-.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(.f64 (-.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2)))) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (-.f64 (.f64 2 (.f64 a2 a2)) (.f64 a2 a2))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (-.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 2 (.f64 a1 a1)))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(.f64 (-.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 a1 (*.f64 2 a1)))) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (-.f64 (.f64 2 (.f64 a1 a1)) (.f64 a1 a1))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3) (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3) (.f64 4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (-.f64 (.f64 (cos.f64 th) 0) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) 0)) (sqrt.f64 2))
(neg.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))

eval608.0ms (3.9%)

Compiler: Compiled 45216 to 23266 computations (48.5% saved)

prune576.0ms (3.7%)

Pruning

41 alts after pruning (30 fresh and 11 done)

	Pruned	Kept	Total
New	1856	17	1873
Fresh	9	13	22
Picked	0	1	1
Done	0	10	10
Total	1865	41	1906

Error

Counts

1906 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	41.2b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
✓	39.2b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	0.5b	(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 1 (cos.f64 th)))
✓	0.6b	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	26.1b	(/.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2))
✓	0.6b	(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	26.1b	(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	26.8b	(/.f64 (-.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)) (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))) (sqrt.f64 2))
	26.2b	(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1))) (*.f64 a1 a1)) (sqrt.f64 2))
	25.9b	(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
	26.6b	(/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3)) (sqrt.f64 2))
	32.0b	(/.f64 (-.f64 a1 (-.f64 a1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2))
▶	0.4b	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓	25.9b	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
✓	0.4b	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2))
	0.6b	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 2) 3)))
	26.5b	(/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))) (sqrt.f64 2))
	0.5b	(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 (cos.f64 th)))))
✓	0.6b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
▶	26.1b	(/.f64 1 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	39.2b	(/.f64 1/2 (/.f64 (/.f64 1/2 (pow.f64 a1 2)) (/.f64 1 (sqrt.f64 2))))
✓	26.1b	(/.f64 1/2 (/.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (sqrt.f64 2))))
	33.8b	(/.f64 1/2 (/.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (+.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (/.f64 1 (sqrt.f64 2))))
	33.9b	(/.f64 1/2 (/.f64 (-.f64 (+.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 1 (sqrt.f64 2))))
	26.1b	(/.f64 1/2 (.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)))
▶	41.4b	(/.f64 1/2 (*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))))
	26.1b	(/.f64 1/2 (.f64 2 (/.f64 1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))))
	39.2b	(/.f64 1/2 (*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))))
	25.9b	(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
	39.2b	(*.f64 (pow.f64 a1 2) (/.f64 1 (sqrt.f64 2)))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	1.2b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))))
▶	26.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
▶	26.6b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
	32.0b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 a1 (-.f64 a1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
✓	25.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	33.0b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 a2 (-.f64 (.f64 a2 a2) (-.f64 a2 (*.f64 a1 a1)))))
✓	0.7b	(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1/4)
	26.6b	(.f64 (neg.f64 (/.f64 1/2 (sqrt.f64 2))) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
✓	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
	1.0b	(.f64 (cos.f64 th) (/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/3))) (sqrt.f64 2)))

Compiler

Compiled 1488 to 998 computations (32.9% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
	0.2b	(/.f64 (sqrt.f64 2) (cos.f64 th))
✓	0.4b	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))

Compiler

Compiled 42 to 17 computations (59.5% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1384×	`rational.json-simplify-67`
1136×	`rational.json-1`
1136×	`rational.json-2`
1136×	`rational.json-4`
1136×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	89	39
2	370	39
3	2549	39

Stop Event

1×	node limit

Counts

1 → 147

Calls

Call 1

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

Outputs

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

simplify105.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1446×	`rational.json-simplify-3`
1288×	`rational.json-simplify-12`
732×	`rational.json-simplify-1`
720×	`rational.json-simplify-24`
670×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	382	7871
1	1291	7513
2	6066	7513

Stop Event

1×	node limit

Counts

183 → 179

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 44 to 18 computations (59.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`rational.json-simplify-13`
892×	`rational.json-simplify-5`
888×	`rational.json-simplify-6`
804×	`rational.json-simplify-4`
802×	`rational.json-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	78	29
2	252	29
3	1402	29

Stop Event

1×	node limit

Counts

1 → 106

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1272×	`rational.json-simplify-1`
1150×	`rational.json-simplify-14`
1040×	`rational.json-simplify-13`
906×	`rational.json-simplify-15`
804×	`rational.json-simplify-21`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	246	3962
1	805	3908
2	3796	3908

Stop Event

1×	node limit

Counts

130 → 121

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 62 to 29 computations (53.2% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	a2	@	-inf	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
0.0ms	a1	@	0	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
0.0ms	a1	@	inf	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
0.0ms	a2	@	inf	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
0.0ms	a2	@	inf	(/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))

rewrite121.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`rational.json-simplify-29`
1154×	`rational.json-simplify-6`
1034×	`rational.json-simplify-21`
960×	`rational.json-simplify-4`
956×	`rational.json-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	94	48
2	313	48
3	1801	48

Stop Event

1×	node limit

Counts

2 → 566

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a1 a1) (+.f64 (*.f64 2 (*.f64 a2 a2)) (*.f64 2 (*.f64 a2 a2)))) (+.f64 (*.f64 a2 a2) (*.f64 2 (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a1) a1)) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a2 a2) (*.f64 0 (neg.f64 a1))) (*.f64 (neg.f64 a1) a1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a2 a2) (+.f64 (*.f64 2 (*.f64 a1 a1)) (*.f64 2 (*.f64 a1 a1)))) (+.f64 (*.f64 (+.f64 a1 a1) a1) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) 2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 1/2) 2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/2 (/.f64 2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1/2 (neg.f64 (/.f64 1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a2 a2)))))))

simplify187.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

906×	`rational.json-simplify-6`
868×	`rational.json-simplify-4`
776×	`rational.json-simplify-24`
686×	`rational.json-simplify-1`
670×	`rational.json-simplify-63`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1097	20040
1	3872	19676

Stop Event

1×	node limit

Counts

614 → 672

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3)
✓	0.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
	1.0b	(/.f64 1 (sqrt.f64 2))
✓	1.3b	(-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))

Compiler

Compiled 103 to 42 computations (59.2% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a1	@	inf	(-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))
0.0ms	a1	@	inf	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
0.0ms	a1	@	0	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
0.0ms	a2	@	0	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
0.0ms	a2	@	inf	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`rational.json-simplify-13`
1034×	`rational.json-1`
1034×	`rational.json-2`
1034×	`rational.json-4`
1034×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	138
1	111	120
2	384	68
3	2286	48

Stop Event

1×	node limit

Counts

2 → 183

Calls

Call 1

Inputs

(-.f64 (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 2) 2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 3))

(*.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 2) 2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 a1) (+.f64 (*.f64 a2 a2) (-.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 a1) (-.f64 (*.f64 a2 a2) (-.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 a2) (+.f64 (*.f64 a1 a1) (-.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 a2) (-.f64 (*.f64 a1 a1) (-.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 2) (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 4) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 8) (neg.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 8) (-.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 4) (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 2) 11/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 3) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 8)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) -3) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 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(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 8)) (*.f64 2 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 8)))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))))))

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

938×	`rational.json-simplify-24`
730×	`rational.json-simplify-43`
602×	`rational.json-simplify-13`
600×	`rational.json-simplify-28`
526×	`rational.json-simplify-14`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	407	8599
1	1420	7245

Stop Event

1×	node limit

Counts

231 → 256

Calls

Call 1

Inputs
(-.f64 (.f64 4 (pow.f64 a2 2)) (.f64 3 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(pow.f64 a1 2)
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(pow.f64 a1 2)
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(-.f64 (.f64 4 (pow.f64 a1 2)) (.f64 3 (pow.f64 a1 2)))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(pow.f64 a2 2)
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(pow.f64 a2 2)
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(/.f64 (-.f64 (.f64 4 (pow.f64 a2 2)) (.f64 3 (pow.f64 a2 2))) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
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(-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6) (/.f64 -1 (sqrt.f64 2))) (.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7)))
(-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7) (/.f64 -1 (sqrt.f64 2))) (.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)))
(-.f64 (.f64 0 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))
(-.f64 (.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6)) (.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 2 (.f64 (.f64 (sqrt.f64 2) 2) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 2 (/.f64 (.f64 (sqrt.f64 2) 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 2 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 2) 2)))
(/.f64 2 (.f64 (neg.f64 (.f64 (sqrt.f64 2) 2)) (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 2 (.f64 (neg.f64 (.f64 (sqrt.f64 2) 2)) (/.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (.f64 (sqrt.f64 2) 2))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 4) (/.f64 (sqrt.f64 2) 1/4))
(/.f64 1 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 1 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 1 (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 -1 (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 1)
(/.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 1 (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (sqrt.f64 2))))
(/.f64 1/2 (/.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 1/2 (.f64 (.f64 1/2 (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 -1 (/.f64 (sqrt.f64 2) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 -1 (/.f64 (+.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2)))
(/.f64 -1 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 2))))
(/.f64 -1 (.f64 (sqrt.f64 2) (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 -1 (.f64 (sqrt.f64 2) (/.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2))) -1)
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -2) (neg.f64 (.f64 (sqrt.f64 2) 2)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2))) 1/2)
(/.f64 -2 (.f64 (.f64 (sqrt.f64 2) 2) (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 -2 (.f64 (.f64 (sqrt.f64 2) 2) (/.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 -1/2 (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))) 2)
(/.f64 (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 1/2 (sqrt.f64 2)))
(/.f64 (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 2) 1/2))
(/.f64 (.f64 -1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (neg.f64 (sqrt.f64 2)) 1/2))
(/.f64 (/.f64 2 (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (neg.f64 (.f64 (sqrt.f64 2) 2)))
(/.f64 (/.f64 1 (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 -1 (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))) (sqrt.f64 2))
(/.f64 (/.f64 -2 (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (sqrt.f64 2) 2))
(/.f64 (/.f64 -1 (/.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2))
(/.f64 (/.f64 -2 (/.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (*.f64 (sqrt.f64 2) 2))
(/.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1/2) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 -1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1/2) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2)))) -1/2)
(/.f64 (-.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 -2 (sqrt.f64 2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) -3)) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))) -1)
(/.f64 (-.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7)) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6)) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6) 2)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7)) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7) 2)) (sqrt.f64 2))
(/.f64 (-.f64 (-.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (-.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (*.f64 a1 (+.f64 a1 a1)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 7)) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (-.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 7))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)))) (neg.f64 (sqrt.f64 2)))
(neg.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))

Outputs
(-.f64 (.f64 4 (pow.f64 a2 2)) (.f64 3 (pow.f64 a2 2)))
(-.f64 (.f64 4 (pow.f64 a2 2)) (.f64 (pow.f64 a2 2) 3))
(*.f64 (pow.f64 a2 2) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 4 (pow.f64 a2 2)) (-.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 4 (pow.f64 a2 2)) (-.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 4 (pow.f64 a2 2)) (-.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(pow.f64 a1 2)
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 4 (pow.f64 a2 2)) (-.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 4 (pow.f64 a2 2)) (-.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 4 (pow.f64 a2 2)) (-.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(pow.f64 a1 2)
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 4 (pow.f64 a2 2)) (-.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 4 (pow.f64 a2 2)) (-.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 3 (pow.f64 a2 2)))
(+.f64 (.f64 4 (pow.f64 a2 2)) (-.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(-.f64 (.f64 4 (pow.f64 a1 2)) (.f64 3 (pow.f64 a1 2)))
(*.f64 (pow.f64 a1 2) 1)
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 4 (pow.f64 a1 2)) (.f64 3 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a1 2) 1))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 4 (pow.f64 a1 2)) (.f64 3 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a1 2) 1))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 4 (pow.f64 a1 2)) (.f64 3 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a1 2) 1))
(pow.f64 a2 2)
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 4 (pow.f64 a1 2)) (.f64 3 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a1 2) 1))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 4 (pow.f64 a1 2)) (.f64 3 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a1 2) 1))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 4 (pow.f64 a1 2)) (.f64 3 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a1 2) 1))
(pow.f64 a2 2)
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 4 (pow.f64 a1 2)) (.f64 3 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a1 2) 1))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 4 (pow.f64 a1 2)) (.f64 3 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a1 2) 1))
(-.f64 (+.f64 (pow.f64 a2 2) (.f64 4 (pow.f64 a1 2))) (.f64 3 (pow.f64 a1 2)))
(+.f64 (pow.f64 a2 2) (-.f64 (.f64 4 (pow.f64 a1 2)) (.f64 3 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a1 2) 1))
(/.f64 (-.f64 (.f64 4 (pow.f64 a2 2)) (.f64 3 (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (pow.f64 a2 2)) (.f64 (pow.f64 a2 2) 3)) (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 1)
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.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)) 1))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.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)) 1))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.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)) 1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.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)) 1))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.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)) 1))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.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)) 1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
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(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 2 (/.f64 (.f64 (sqrt.f64 2) 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 2 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 2) 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 2 (.f64 (neg.f64 (.f64 (sqrt.f64 2) 2)) (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 2 (.f64 (neg.f64 (.f64 (sqrt.f64 2) 2)) (/.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (.f64 (sqrt.f64 2) 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 4) (/.f64 (sqrt.f64 2) 1/4))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 1 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 1 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 1 (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 -1 (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 1)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 1 (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 1/2 (/.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 1/2 (/.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 1/2 (.f64 (.f64 1/2 (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 -1 (/.f64 (sqrt.f64 2) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 -1 (/.f64 (+.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2)))
(.f64 -1 (/.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (+.f64 (sqrt.f64 2) (sqrt.f64 2))))
(/.f64 -1 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 -1 (.f64 (sqrt.f64 2) (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 -1 (.f64 (sqrt.f64 2) (/.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2))) -1)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -2) (neg.f64 (.f64 (sqrt.f64 2) 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2))) 1/2)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 -2 (.f64 (.f64 (sqrt.f64 2) 2) (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 -2 (.f64 (.f64 (sqrt.f64 2) 2) (/.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 -1/2 (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))) 2)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 1/2 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 2) 1/2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 -1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (neg.f64 (sqrt.f64 2)) 1/2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 2 (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (neg.f64 (.f64 (sqrt.f64 2) 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 1 (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 -1 (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 -2 (.f64 -1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (sqrt.f64 2) 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 -1 (/.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 -2 (/.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (*.f64 (sqrt.f64 2) 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1/2) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 -1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1/2) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2)))) -1/2)
(.f64 -1 (/.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (+.f64 (sqrt.f64 2) (sqrt.f64 2))))
(/.f64 (-.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 -2 (sqrt.f64 2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) -3)) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))) -1)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (-.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (-.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7)) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6)) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6) 2)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6) (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 13) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 12)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7)) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7) 2)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (-.f64 (-.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (+.f64 a2 (-.f64 (.f64 a2 a2) (-.f64 a2 (.f64 a1 a1)))) (sqrt.f64 2))
(/.f64 (-.f64 (-.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (-.f64 a1 (-.f64 a1 (.f64 a2 a2)))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 0) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (-.f64 (.f64 a2 (+.f64 a2 a2)) (*.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 (+.f64 a1 a1) a1))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (*.f64 a1 (+.f64 a1 a1)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (-.f64 (.f64 a2 (+.f64 a2 a2)) (*.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 (+.f64 a1 a1) a1))) (sqrt.f64 2))
(/.f64 (-.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 7)) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (-.f64 (-.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 7))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7)) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 15))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(neg.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1/2 (pow.f64 a2 2))
✓	0.3b	(*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2)))
✓	0.6b	(/.f64 1/2 (*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))))

Compiler

Compiled 34 to 29 computations (14.7% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1070×	`rational.json-simplify-13`
686×	`rational.json-simplify-6`
684×	`rational.json-simplify-14`
586×	`rational.json-simplify-4`
574×	`rational.json-simplify-5`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	65
1	67	65
2	231	53
3	1274	53

Stop Event

1×	node limit

Counts

3 → 233

Calls

Call 1

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

Outputs

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simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1084×	`rational.json-simplify-1`
680×	`rational.json-simplify-57`
542×	`rational.json-simplify-24`
494×	`rational.json-simplify-40`
428×	`rational.json-simplify-42`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	396	5257
1	1336	5167
2	6793	5167

Stop Event

1×	node limit

Counts

257 → 243

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 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 0)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (pow.f64 a2 2) 0))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) 0) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 0 (/.f64 0 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 0 (sqrt.f64 2)) (*.f64 (pow.f64 a2 2) 0)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (-.f64 0 (/.f64 0 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (-.f64 (/.f64 0 (sqrt.f64 2)) (*.f64 (pow.f64 a2 2) 0)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (-.f64 (*.f64 (pow.f64 a2 2) 0) (/.f64 0 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 1 (/.f64 0 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 1/2 (/.f64 0 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (/.f64 1 (sqrt.f64 2)) 0))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (/.f64 -1/2 (sqrt.f64 2)) 0))
(+.f64 0 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (*.f64 1/2 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (*.f64 1/2 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(+.f64 (*.f64 (pow.f64 a2 2) 0) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a2 2) 0) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (-.f64 0 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (-.f64 (/.f64 0 (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (*.f64 (/.f64 0 (sqrt.f64 2)) 1/2) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 0)
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (pow.f64 a2 2) 0))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) 0) (sqrt.f64 2)))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2)))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 1 (/.f64 0 (sqrt.f64 2))))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 1/2 (/.f64 0 (sqrt.f64 2))))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (/.f64 1 (sqrt.f64 2)) 0))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (/.f64 -1/2 (sqrt.f64 2)) 0))
(-.f64 0 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(-.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) -1/2)))
(-.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (-.f64 0 (/.f64 (pow.f64 a2 2) (*.f64 1/2 (sqrt.f64 2)))))
(-.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) (*.f64 1/2 (sqrt.f64 2))) -1))
(-.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (.f64 -1 (/.f64 (pow.f64 a2 2) (.f64 1/2 (sqrt.f64 2)))))
(-.f64 (/.f64 (pow.f64 a2 2) (*.f64 1/2 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(-.f64 (*.f64 (pow.f64 a2 2) 0) (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(-.f64 (/.f64 (*.f64 (pow.f64 a2 2) 0) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(-.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3) (/.f64 (pow.f64 a2 2) (.f64 1/2 (sqrt.f64 2))))
(-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3))
(-.f64 (-.f64 0 (/.f64 0 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(-.f64 (-.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) 0) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3))
(-.f64 (-.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (.f64 (pow.f64 a2 2) 0)) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3))
(-.f64 (/.f64 (.f64 (pow.f64 a2 2) 3) (.f64 2 (sqrt.f64 2))) (*.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3) 2) (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3) 1/2) (*.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (.f64 (.f64 (pow.f64 a2 2) 3) (/.f64 1/2 (sqrt.f64 2))) (*.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (*.f64 0 (/.f64 -1/2 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(.f64 1/2 (/.f64 (pow.f64 a2 2) (.f64 1/2 (sqrt.f64 2))))
(.f64 2 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 (pow.f64 a2 2) (/.f64 1 (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 2 (pow.f64 a2 2)))
(.f64 (.f64 2 (pow.f64 a2 2)) (/.f64 1/2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) -1)
(*.f64 (neg.f64 (pow.f64 a2 2)) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (neg.f64 (pow.f64 a2 2)) (/.f64 (/.f64 1/2 (sqrt.f64 2)) -1/2))
(.f64 (neg.f64 (pow.f64 a2 2)) (/.f64 1/2 (.f64 (sqrt.f64 2) -1/2)))
(.f64 -1/2 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -1/2)))
(*.f64 -1/2 (-.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(.f64 -1/2 (-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3)))
(.f64 -1/2 (-.f64 0 (/.f64 (pow.f64 a2 2) (.f64 1/2 (sqrt.f64 2)))))
(.f64 (.f64 (pow.f64 a2 2) -2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 (/.f64 (pow.f64 a2 2) (.f64 1/2 (sqrt.f64 2))) 1/2)
(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
(.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 (pow.f64 a2 2) -2))
(.f64 (.f64 1/2 (pow.f64 a2 2)) (/.f64 2 (sqrt.f64 2)))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) 1/4)
(.f64 (/.f64 2 (sqrt.f64 2)) (.f64 1/2 (pow.f64 a2 2)))
(.f64 (/.f64 1/2 (.f64 2 (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) 4))
(*.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (pow.f64 a2 2)))
(.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) 2)
(.f64 (.f64 (pow.f64 a2 2) 4) (/.f64 1/2 (*.f64 2 (sqrt.f64 2))))
(.f64 (.f64 (pow.f64 a2 2) 4) (*.f64 (/.f64 1/2 (sqrt.f64 2)) 1/2))
(.f64 (.f64 (pow.f64 a2 2) 4) (.f64 1 (/.f64 1/2 (.f64 2 (sqrt.f64 2)))))
(*.f64 (-.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) -1/2)
(neg.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(+.f64 (*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) 0)
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (.f64 (sqrt.f64 2) 0))
(+.f64 (*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (/.f64 0 (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (.f64 0 (-.f64 (/.f64 1/2 (pow.f64 a2 2)) (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (+.f64 (.f64 (sqrt.f64 2) 0) (/.f64 0 (pow.f64 a2 2))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (.f64 (sqrt.f64 2) (/.f64 0 (pow.f64 a2 2))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (+.f64 0 (.f64 0 (-.f64 (/.f64 1/2 (pow.f64 a2 2)) (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (+.f64 0 (+.f64 (.f64 (sqrt.f64 2) 0) (/.f64 0 (pow.f64 a2 2)))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (+.f64 (.f64 (sqrt.f64 2) 0) (*.f64 0 (-.f64 (/.f64 1/2 (pow.f64 a2 2)) (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (+.f64 (.f64 (sqrt.f64 2) 0) (+.f64 (*.f64 (sqrt.f64 2) 0) (/.f64 0 (pow.f64 a2 2)))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (+.f64 (/.f64 0 (pow.f64 a2 2)) (.f64 0 (-.f64 (/.f64 1/2 (pow.f64 a2 2)) (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (+.f64 (/.f64 0 (pow.f64 a2 2)) (+.f64 (.f64 (sqrt.f64 2) 0) (/.f64 0 (pow.f64 a2 2)))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (-.f64 (.f64 0 (-.f64 (/.f64 1/2 (pow.f64 a2 2)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (/.f64 0 (pow.f64 a2 2))) (*.f64 (sqrt.f64 2) 0)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (-.f64 (.f64 0 (-.f64 (/.f64 1/2 (pow.f64 a2 2)) (sqrt.f64 2))) (/.f64 0 (pow.f64 a2 2))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (/.f64 0 (pow.f64 a2 2))) (/.f64 0 (pow.f64 a2 2))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (-.f64 (.f64 0 (-.f64 (/.f64 1/2 (pow.f64 a2 2)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (/.f64 0 (pow.f64 a2 2)))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (/.f64 0 (pow.f64 a2 2))) (*.f64 (sqrt.f64 2) (/.f64 0 (pow.f64 a2 2)))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (.f64 1 (*.f64 0 (-.f64 (/.f64 1/2 (pow.f64 a2 2)) (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (.f64 1 (+.f64 (*.f64 (sqrt.f64 2) 0) (/.f64 0 (pow.f64 a2 2)))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (.f64 (*.f64 1/2 (sqrt.f64 2)) 0))
(+.f64 0 (*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))))
(+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) -2)))
(+.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) -2)) (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))))
(+.f64 (/.f64 0 (pow.f64 a2 2)) (*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))))
(+.f64 (.f64 0 (-.f64 (/.f64 1/2 (pow.f64 a2 2)) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))))
(+.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (/.f64 0 (pow.f64 a2 2))) (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 0 (pow.f64 a2 2))) (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 2 (pow.f64 a2 2))) (-.f64 0 (.f64 (sqrt.f64 2) (/.f64 3/2 (pow.f64 a2 2)))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 2 (pow.f64 a2 2))) (-.f64 (.f64 (sqrt.f64 2) 0) (*.f64 (sqrt.f64 2) (/.f64 3/2 (pow.f64 a2 2)))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 2 (pow.f64 a2 2))) (-.f64 (/.f64 0 (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (/.f64 3/2 (pow.f64 a2 2)))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/4 (pow.f64 a2 2))) (.f64 (sqrt.f64 2) (/.f64 1/4 (pow.f64 a2 2))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/4 (pow.f64 a2 2))) (.f64 (/.f64 1/2 (pow.f64 a2 2)) (*.f64 1/2 (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 1/4 (pow.f64 a2 2))) (.f64 (/.f64 1/4 (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 1/2 (pow.f64 a2 2)) (.f64 1/2 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (/.f64 1/4 (pow.f64 a2 2))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) 1/2) (*.f64 (sqrt.f64 2) (/.f64 1/4 (pow.f64 a2 2))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 0) 1/2) (*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))))
(+.f64 (.f64 0 (.f64 1/2 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))))
(-.f64 (*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) 0)
(-.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (.f64 (sqrt.f64 2) 0))
(-.f64 (*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (/.f64 0 (pow.f64 a2 2)))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (.f64 0 (-.f64 (/.f64 1/2 (pow.f64 a2 2)) (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (+.f64 (.f64 (sqrt.f64 2) 0) (/.f64 0 (pow.f64 a2 2))))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (.f64 (sqrt.f64 2) (/.f64 0 (pow.f64 a2 2))))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) (.f64 (*.f64 1/2 (sqrt.f64 2)) 0))
(-.f64 0 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) -2)))
(-.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))))
(-.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) -2)) (/.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 a2 2)))
(-.f64 (.f64 (sqrt.f64 2) 0) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) -2)))
(-.f64 (/.f64 0 (pow.f64 a2 2)) (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) -2)))
(-.f64 (.f64 0 (-.f64 (/.f64 1/2 (pow.f64 a2 2)) (sqrt.f64 2))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) -2)))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) 0) (/.f64 0 (pow.f64 a2 2))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) -2)))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 0 (pow.f64 a2 2))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) -2)))
(-.f64 (.f64 (sqrt.f64 2) (/.f64 2 (pow.f64 a2 2))) (.f64 (sqrt.f64 2) (/.f64 3/2 (pow.f64 a2 2))))
(-.f64 (*.f64 (sqrt.f64 2) (/.f64 3/2 (pow.f64 a2 2))) (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (/.f64 2 (pow.f64 a2 2))) (.f64 (sqrt.f64 2) (/.f64 0 (pow.f64 a2 2)))) (*.f64 (sqrt.f64 2) (/.f64 3/2 (pow.f64 a2 2))))
(-.f64 (+.f64 (/.f64 0 (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (/.f64 2 (pow.f64 a2 2)))) (.f64 (sqrt.f64 2) (/.f64 3/2 (pow.f64 a2 2))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) 3) (.f64 (pow.f64 a2 2) 4)) (*.f64 (sqrt.f64 2) (/.f64 1/4 (pow.f64 a2 2))))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (/.f64 3/2 (pow.f64 a2 2))) 1/2) (*.f64 (sqrt.f64 2) (/.f64 1/4 (pow.f64 a2 2))))
(-.f64 (.f64 (/.f64 3/2 (pow.f64 a2 2)) (.f64 1/2 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (/.f64 1/4 (pow.f64 a2 2))))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 0) -1) (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) -2)))
(-.f64 (.f64 (/.f64 0 (pow.f64 a2 2)) -1) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) -2)))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 3) (/.f64 1/4 (pow.f64 a2 2))) (*.f64 (/.f64 1/4 (pow.f64 a2 2)) (sqrt.f64 2)))
(/.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 2 (/.f64 (*.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)))
(/.f64 (sqrt.f64 2) (*.f64 2 (pow.f64 a2 2)))
(/.f64 (/.f64 1/2 (pow.f64 a2 2)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (/.f64 1/2 (pow.f64 a2 2)) (neg.f64 (/.f64 -1 (sqrt.f64 2))))
(/.f64 (*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) 1)
(/.f64 1 (/.f64 (pow.f64 a2 2) (*.f64 1/2 (sqrt.f64 2))))
(/.f64 (*.f64 1/2 (sqrt.f64 2)) (pow.f64 a2 2))
(/.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) 2)
(/.f64 -1 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) -1/2)))
(/.f64 -1 (-.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 -1 (-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3)))
(/.f64 -1 (-.f64 0 (/.f64 (pow.f64 a2 2) (*.f64 1/2 (sqrt.f64 2)))))
(/.f64 -1 (.f64 (.f64 (pow.f64 a2 2) -2) (/.f64 1 (sqrt.f64 2))))
(/.f64 -1/2 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 -1/2 (pow.f64 a2 2)) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (/.f64 -1/2 (pow.f64 a2 2)) (/.f64 -1/2 (*.f64 1/2 (sqrt.f64 2))))
(/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (pow.f64 a2 2) -2))
(/.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) -2)) -1)
(/.f64 (*.f64 (sqrt.f64 2) -1/2) (neg.f64 (pow.f64 a2 2)))
(/.f64 (.f64 (sqrt.f64 2) -1/2) (.f64 -1 (pow.f64 a2 2)))
(/.f64 (/.f64 1 (pow.f64 a2 2)) (/.f64 2 (sqrt.f64 2)))
(/.f64 (.f64 2 (sqrt.f64 2)) (.f64 (pow.f64 a2 2) 4))
(/.f64 (/.f64 1/4 (pow.f64 a2 2)) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (-.f64 0 (/.f64 1 (pow.f64 a2 2))) (/.f64 -1 (*.f64 1/2 (sqrt.f64 2))))
(/.f64 (/.f64 (sqrt.f64 2) -1/2) (/.f64 (*.f64 (pow.f64 a2 2) -2) 1/2))
(/.f64 (/.f64 (sqrt.f64 2) -1/2) (.f64 -1 (.f64 (pow.f64 a2 2) 4)))
(/.f64 (/.f64 (sqrt.f64 2) -1/2) (neg.f64 (*.f64 (pow.f64 a2 2) 4)))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 a2 2)) -2)
(/.f64 1/4 (*.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (*.f64 (sqrt.f64 2) (/.f64 1/4 (pow.f64 a2 2))) 1/2)
(/.f64 (/.f64 1/2 (*.f64 (pow.f64 a2 2) -2)) (/.f64 -1/2 (sqrt.f64 2)))
(/.f64 (-.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) 3)) (neg.f64 (.f64 (pow.f64 a2 2) 4)))
(/.f64 -1/4 (*.f64 (pow.f64 a2 2) (/.f64 -1/2 (sqrt.f64 2))))
(/.f64 (/.f64 (.f64 (sqrt.f64 2) -1/2) (.f64 2 (pow.f64 a2 2))) -1/2)
(/.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (pow.f64 a2 2) 4)) -1/2)
(/.f64 (*.f64 (/.f64 -1/2 (pow.f64 a2 2)) 1/2) (/.f64 -1/2 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 1/2 (pow.f64 a2 2)) (.f64 1/2 (sqrt.f64 2))) 1/2)
(/.f64 (.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))) 1/2) 1/2)
(/.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 a2 2)) 1/2) -1)
(/.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) -2)) 1/2) -1/2)
(/.f64 (.f64 (.f64 1/2 (sqrt.f64 2)) 1/2) (*.f64 1/2 (pow.f64 a2 2)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1/4 (pow.f64 a2 2))) -1/2)
(/.f64 (/.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 (pow.f64 a2 2) -2)) -1/2)
(/.f64 (/.f64 1/2 (.f64 (pow.f64 a2 2) 4)) (/.f64 1/2 (.f64 2 (sqrt.f64 2))))
(/.f64 (/.f64 1/2 (-.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) -1/2)
(/.f64 (*.f64 (/.f64 1/4 (pow.f64 a2 2)) (sqrt.f64 2)) 1/2)
(/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) -2)) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) -2))) (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) -2))) -1)
(/.f64 (.f64 (.f64 (sqrt.f64 2) -1/2) 1/2) (*.f64 1/2 (neg.f64 (pow.f64 a2 2))))
(/.f64 (.f64 (.f64 (sqrt.f64 2) -1/2) (/.f64 1 (pow.f64 a2 2))) -1)
(/.f64 (.f64 (+.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) -2)) (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) -2))) 1/2) -1)
(/.f64 (*.f64 -1/2 (/.f64 1/2 (pow.f64 a2 2))) (/.f64 -1/2 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (sqrt.f64 2) -1/2) (/.f64 1/2 (pow.f64 a2 2))) -1/2)
(neg.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) -2)))
(+.f64 (/.f64 1/2 (pow.f64 a2 2)) 0)
(+.f64 (/.f64 1/2 (pow.f64 a2 2)) (/.f64 0 (pow.f64 a2 2)))
(+.f64 0 (/.f64 1/2 (pow.f64 a2 2)))
(+.f64 (/.f64 -1/2 (pow.f64 a2 2)) (/.f64 1 (pow.f64 a2 2)))
(+.f64 (/.f64 0 (pow.f64 a2 2)) (/.f64 1/2 (pow.f64 a2 2)))
(+.f64 (/.f64 1 (pow.f64 a2 2)) (/.f64 -1/2 (pow.f64 a2 2)))
(+.f64 (/.f64 1/4 (pow.f64 a2 2)) (/.f64 1/4 (pow.f64 a2 2)))
(+.f64 (/.f64 2 (pow.f64 a2 2)) (-.f64 0 (/.f64 3/2 (pow.f64 a2 2))))
(-.f64 (/.f64 1/2 (pow.f64 a2 2)) 0)
(-.f64 (/.f64 1/2 (pow.f64 a2 2)) (/.f64 0 (pow.f64 a2 2)))
(-.f64 0 (/.f64 -1/2 (pow.f64 a2 2)))
(-.f64 (/.f64 -1/2 (pow.f64 a2 2)) (-.f64 0 (/.f64 1 (pow.f64 a2 2))))
(-.f64 (/.f64 0 (pow.f64 a2 2)) (/.f64 -1/2 (pow.f64 a2 2)))
(-.f64 (/.f64 1 (pow.f64 a2 2)) (/.f64 1/2 (pow.f64 a2 2)))
(-.f64 (/.f64 2 (pow.f64 a2 2)) (/.f64 3/2 (pow.f64 a2 2)))
(-.f64 (/.f64 3/2 (pow.f64 a2 2)) (/.f64 1 (pow.f64 a2 2)))
(-.f64 (-.f64 (/.f64 2 (pow.f64 a2 2)) (/.f64 0 (pow.f64 a2 2))) (/.f64 3/2 (pow.f64 a2 2)))
(-.f64 (*.f64 (/.f64 3/2 (pow.f64 a2 2)) 1/2) (/.f64 1/4 (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 1 (pow.f64 a2 2)))
(*.f64 2 (/.f64 1/4 (pow.f64 a2 2)))
(*.f64 (/.f64 1/2 (pow.f64 a2 2)) 1)
(*.f64 1 (/.f64 1/2 (pow.f64 a2 2)))
(*.f64 -1 (/.f64 -1/2 (pow.f64 a2 2)))
(*.f64 -1/2 (-.f64 0 (/.f64 1 (pow.f64 a2 2))))
(*.f64 -1/2 (-.f64 (/.f64 1/2 (pow.f64 a2 2)) (/.f64 3/2 (pow.f64 a2 2))))
(*.f64 -1/2 (/.f64 1 (neg.f64 (pow.f64 a2 2))))
(*.f64 (/.f64 -1/2 (pow.f64 a2 2)) -1)
(*.f64 (/.f64 1 (pow.f64 a2 2)) 1/2)
(*.f64 (/.f64 1/4 (pow.f64 a2 2)) 2)
(*.f64 (-.f64 0 (/.f64 1 (pow.f64 a2 2))) -1/2)
(*.f64 -2 (-.f64 0 (/.f64 1/4 (pow.f64 a2 2))))
(neg.f64 (/.f64 -1/2 (pow.f64 a2 2)))

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 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 2) 1/2))
(*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 2) 1/2))
(*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 2) 1/2))
(*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 2) 1/2))
(*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 2) 1/2))
(*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 2) 1/2))
(*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 2) 1/2))
(*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 2) 1/2))
(*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 2) 1/2))
(*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 2) 1/2))
(*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 2) 1/2))
(*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2)))
(*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 2) 1/2))
(*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (pow.f64 a2 2) 0))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) 0) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 0 (/.f64 0 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 0 (sqrt.f64 2)) (*.f64 (pow.f64 a2 2) 0)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (-.f64 0 (/.f64 0 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (-.f64 (/.f64 0 (sqrt.f64 2)) (*.f64 (pow.f64 a2 2) 0)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (-.f64 (*.f64 (pow.f64 a2 2) 0) (/.f64 0 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 1 (/.f64 0 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 1/2 (/.f64 0 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (/.f64 1 (sqrt.f64 2)) 0))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (/.f64 -1/2 (sqrt.f64 2)) 0))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 0 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (*.f64 1/2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (*.f64 1/2 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (*.f64 (pow.f64 a2 2) 0) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a2 2) 0) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (-.f64 0 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (-.f64 (/.f64 0 (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (*.f64 (/.f64 0 (sqrt.f64 2)) 1/2) (/.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)) 0)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (pow.f64 a2 2) 0))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) 0) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 1 (/.f64 0 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 1/2 (/.f64 0 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (/.f64 1 (sqrt.f64 2)) 0))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (/.f64 -1/2 (sqrt.f64 2)) 0))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 0 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) -1/2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (-.f64 0 (/.f64 (pow.f64 a2 2) (*.f64 1/2 (sqrt.f64 2)))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) (*.f64 1/2 (sqrt.f64 2))) -1))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (.f64 -1 (/.f64 (pow.f64 a2 2) (.f64 1/2 (sqrt.f64 2)))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a2 2) (*.f64 1/2 (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) 0) (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (/.f64 (*.f64 (pow.f64 a2 2) 0) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(-.f64 (*.f64 0 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(-.f64 (*.f64 (pow.f64 a2 2) (/.f64 0 (sqrt.f64 2))) (/.f64 (neg.f64 (pow.f64 a2 2)) (sqrt.f64 2)))
(-.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3) (/.f64 (pow.f64 a2 2) (.f64 1/2 (sqrt.f64 2))))
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(/.f64 1/2 (pow.f64 a2 2))
(+.f64 (/.f64 0 (pow.f64 a2 2)) (/.f64 1/2 (pow.f64 a2 2)))
(/.f64 1/2 (pow.f64 a2 2))
(+.f64 (/.f64 1 (pow.f64 a2 2)) (/.f64 -1/2 (pow.f64 a2 2)))
(/.f64 1/2 (pow.f64 a2 2))
(+.f64 (/.f64 1/4 (pow.f64 a2 2)) (/.f64 1/4 (pow.f64 a2 2)))
(/.f64 1/2 (pow.f64 a2 2))
(+.f64 (/.f64 2 (pow.f64 a2 2)) (-.f64 0 (/.f64 3/2 (pow.f64 a2 2))))
(/.f64 1/2 (pow.f64 a2 2))
(-.f64 (/.f64 1/2 (pow.f64 a2 2)) 0)
(/.f64 1/2 (pow.f64 a2 2))
(-.f64 (/.f64 1/2 (pow.f64 a2 2)) (/.f64 0 (pow.f64 a2 2)))
(/.f64 1/2 (pow.f64 a2 2))
(-.f64 0 (/.f64 -1/2 (pow.f64 a2 2)))
(/.f64 1/2 (pow.f64 a2 2))
(-.f64 (/.f64 -1/2 (pow.f64 a2 2)) (-.f64 0 (/.f64 1 (pow.f64 a2 2))))
(/.f64 1/2 (pow.f64 a2 2))
(-.f64 (/.f64 0 (pow.f64 a2 2)) (/.f64 -1/2 (pow.f64 a2 2)))
(/.f64 1/2 (pow.f64 a2 2))
(-.f64 (/.f64 1 (pow.f64 a2 2)) (/.f64 1/2 (pow.f64 a2 2)))
(/.f64 1/2 (pow.f64 a2 2))
(-.f64 (/.f64 2 (pow.f64 a2 2)) (/.f64 3/2 (pow.f64 a2 2)))
(/.f64 1/2 (pow.f64 a2 2))
(-.f64 (/.f64 3/2 (pow.f64 a2 2)) (/.f64 1 (pow.f64 a2 2)))
(/.f64 1/2 (pow.f64 a2 2))
(-.f64 (-.f64 (/.f64 2 (pow.f64 a2 2)) (/.f64 0 (pow.f64 a2 2))) (/.f64 3/2 (pow.f64 a2 2)))
(/.f64 1/2 (pow.f64 a2 2))
(-.f64 (*.f64 (/.f64 3/2 (pow.f64 a2 2)) 1/2) (/.f64 1/4 (pow.f64 a2 2)))
(/.f64 1/2 (pow.f64 a2 2))
(*.f64 1/2 (/.f64 1 (pow.f64 a2 2)))
(/.f64 1/2 (pow.f64 a2 2))
(*.f64 2 (/.f64 1/4 (pow.f64 a2 2)))
(/.f64 1/2 (pow.f64 a2 2))
(*.f64 (/.f64 1/2 (pow.f64 a2 2)) 1)
(/.f64 1/2 (pow.f64 a2 2))
(*.f64 1 (/.f64 1/2 (pow.f64 a2 2)))
(/.f64 1/2 (pow.f64 a2 2))
(*.f64 -1 (/.f64 -1/2 (pow.f64 a2 2)))
(/.f64 1/2 (pow.f64 a2 2))
(*.f64 -1/2 (-.f64 0 (/.f64 1 (pow.f64 a2 2))))
(/.f64 1/2 (pow.f64 a2 2))
(*.f64 -1/2 (-.f64 (/.f64 1/2 (pow.f64 a2 2)) (/.f64 3/2 (pow.f64 a2 2))))
(/.f64 1/2 (pow.f64 a2 2))
(*.f64 -1/2 (/.f64 1 (neg.f64 (pow.f64 a2 2))))
(/.f64 1/2 (pow.f64 a2 2))
(*.f64 (/.f64 -1/2 (pow.f64 a2 2)) -1)
(/.f64 1/2 (pow.f64 a2 2))
(*.f64 (/.f64 1 (pow.f64 a2 2)) 1/2)
(/.f64 1/2 (pow.f64 a2 2))
(*.f64 (/.f64 1/4 (pow.f64 a2 2)) 2)
(/.f64 1/2 (pow.f64 a2 2))
(*.f64 (-.f64 0 (/.f64 1 (pow.f64 a2 2))) -1/2)
(/.f64 1/2 (pow.f64 a2 2))
(*.f64 -2 (-.f64 0 (/.f64 1/4 (pow.f64 a2 2))))
(/.f64 1/2 (pow.f64 a2 2))
(neg.f64 (/.f64 -1/2 (pow.f64 a2 2)))
(/.f64 1/2 (pow.f64 a2 2))

eval609.0ms (3.9%)

Compiler: Compiled 43647 to 23399 computations (46.4% saved)

prune777.0ms (5%)

Pruning

62 alts after pruning (47 fresh and 15 done)

	Pruned	Kept	Total
New	1907	36	1943
Fresh	14	11	25
Picked	0	1	1
Done	1	14	15
Total	1922	62	1984

Error

Counts

1984 → 62

Alt Table

Click to see full alt table

Status	Error	Program
	41.2b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
✓	39.2b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
✓	0.6b	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	26.1b	(/.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	26.1b	(/.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2))
✓	0.6b	(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	27.2b	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6)) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6) 2)) (sqrt.f64 2))
	26.2b	(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1))) (*.f64 a1 a1)) (sqrt.f64 2))
	25.9b	(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
	27.6b	(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)))) (neg.f64 (sqrt.f64 2)))
	27.1b	(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 13) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 12)) (sqrt.f64 2))
	27.3b	(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 12) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 11)) (sqrt.f64 2))
	26.6b	(/.f64 (-.f64 (.f64 3 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
	26.6b	(/.f64 (-.f64 (.f64 3 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2))
	27.1b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 15))) (sqrt.f64 2))
	26.8b	(/.f64 (-.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7)) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6))) (neg.f64 (sqrt.f64 2)))
	32.0b	(/.f64 (-.f64 a1 (-.f64 a1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2))
	27.1b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 15))) (sqrt.f64 2))
✓	0.4b	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	0.5b	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2)))
✓	25.9b	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
	27.0b	(/.f64 (+.f64 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 11/2))) (sqrt.f64 2))
	26.7b	(/.f64 (+.f64 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 3 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 8))) (neg.f64 (sqrt.f64 2)))
	26.7b	(/.f64 (+.f64 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -5)) (neg.f64 (sqrt.f64 2)))
	33.0b	(/.f64 (+.f64 a2 (-.f64 (.f64 a2 a2) (-.f64 a2 (.f64 a1 a1)))) (sqrt.f64 2))
✓	0.4b	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2))
	1.1b	(/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	26.5b	(/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))) (sqrt.f64 2))
✓	0.6b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	26.1b	(/.f64 2 (.f64 (/.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)))
	39.2b	(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)))
	26.9b	(/.f64 1 (/.f64 (sqrt.f64 2) (-.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)) (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3)))))
	26.7b	(/.f64 1 (/.f64 (sqrt.f64 2) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))))
	32.0b	(/.f64 1 (/.f64 (sqrt.f64 2) (-.f64 a1 (-.f64 a1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
✓	26.1b	(/.f64 1 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	26.1b	(/.f64 1 (.f64 2 (/.f64 1/2 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))))
	39.2b	(/.f64 1/2 (/.f64 (/.f64 1/2 (pow.f64 a1 2)) (/.f64 1 (sqrt.f64 2))))
✓	26.1b	(/.f64 1/2 (/.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (sqrt.f64 2))))
	33.8b	(/.f64 1/2 (/.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (+.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (/.f64 1 (sqrt.f64 2))))
✓	41.4b	(/.f64 1/2 (*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))))
	26.5b	(-.f64 (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)) (.f64 (sqrt.f64 2) 2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2))))
	25.9b	(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
	39.2b	(*.f64 (pow.f64 a1 2) (/.f64 1 (sqrt.f64 2)))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	39.2b	(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (pow.f64 a1 2))))
✓	26.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
	34.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (-.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4)) (+.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 3)))))
	33.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (-.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 3))))
	27.3b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 12) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 11)))
	26.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 1/3)))
	27.0b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (/.f64 1 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 1/3))))
	27.0b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (/.f64 1/2 (/.f64 1/6 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
	27.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 9))))
	26.5b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (+.f64 (+.f64 a1 a1) a1)) (-.f64 (.f64 2 (.f64 a1 a1)) (*.f64 a2 a2))))
	27.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 11/2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 8)))
	27.2b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (neg.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7)))))
	27.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 15))))
	26.6b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) -3)))
✓	25.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	0.7b	(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1/4)
✓	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
	1.0b	(.f64 (cos.f64 th) (/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/3))) (sqrt.f64 2)))

Compiler

Compiled 1543 to 960 computations (37.8% saved)

regimes311.0ms (2%)

Counts

94 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 1/2 (.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)))
(/.f64 2 (.f64 (/.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)))
(/.f64 (+.f64 a2 (-.f64 (.f64 a2 a2) (-.f64 a2 (.f64 a1 a1)))) (sqrt.f64 2))
(/.f64 (-.f64 a1 (-.f64 a1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2))
(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2))
(/.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 -1 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 a2 (-.f64 (.f64 a2 a2) (-.f64 a2 (*.f64 a1 a1)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 a1 (-.f64 a1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 1/2 (/.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (.f64 2 (/.f64 1/2 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))))
(/.f64 1 (/.f64 (sqrt.f64 2) (-.f64 a1 (-.f64 a1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 2 a2))) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1))) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 1/2 (.f64 2 (/.f64 1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (+.f64 (+.f64 a1 a1) a1)) (-.f64 (.f64 2 (.f64 a1 a1)) (*.f64 a2 a2))))
(/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 12) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 11)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 13) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 12)) (sqrt.f64 2))
(.f64 (neg.f64 (/.f64 1/2 (sqrt.f64 2))) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
(/.f64 (+.f64 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -5)) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 15))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) -3)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 12) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 11)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 15))))
(/.f64 (-.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7)) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6))) (neg.f64 (sqrt.f64 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 1/3)))
(/.f64 1 (/.f64 (sqrt.f64 2) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (/.f64 1/2 (/.f64 1/6 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (/.f64 1 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 1/3))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (-.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 3))))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 15))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 3 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 8))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 11/2))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6)) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6) 2)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (neg.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 11/2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 8)))
(/.f64 1/2 (/.f64 (-.f64 (+.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 9))))
(/.f64 1/2 (/.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (+.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (/.f64 1 (sqrt.f64 2))))
(/.f64 (-.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)) (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)) (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))))
(/.f64 1 (/.f64 (sqrt.f64 2) (-.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)) (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (-.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4)) (+.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 3)))))
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a1 2))
(*.f64 (pow.f64 a1 2) (/.f64 1 (sqrt.f64 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(/.f64 1/2 (*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(/.f64 1/2 (*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (pow.f64 a1 2))))
(/.f64 1/2 (/.f64 (/.f64 1/2 (pow.f64 a1 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 1 (cos.f64 th)))
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1/4)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 (cos.f64 th)))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) (.f64 a2 a2)))
(/.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 (/.f64 1/2 (cos.f64 th)) (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(.f64 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a2 a2) (/.f64 a1 (/.f64 1/2 a1)))))
(.f64 (cos.f64 th) (/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/3))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3/2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) -5/2)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))))
(/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 3)))
(-.f64 (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)) (.f64 (sqrt.f64 2) 2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2))))
(.f64 (cos.f64 th) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 2) 3)))
(+.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 (cos.f64 th) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 a2 (/.f64 a2 (sqrt.f64 2)))))

Calls

8 calls:

44.0ms	th
41.0ms	a1
40.0ms	a2
35.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
34.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 2099 to 960 computations (54.3% saved)

regimes332.0ms (2.2%)

Counts

91 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 1/2 (.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)))
(/.f64 2 (.f64 (/.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)))
(/.f64 (+.f64 a2 (-.f64 (.f64 a2 a2) (-.f64 a2 (.f64 a1 a1)))) (sqrt.f64 2))
(/.f64 (-.f64 a1 (-.f64 a1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2))
(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2))
(/.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 -1 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 a2 (-.f64 (.f64 a2 a2) (-.f64 a2 (*.f64 a1 a1)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 a1 (-.f64 a1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 1/2 (/.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (.f64 2 (/.f64 1/2 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))))
(/.f64 1 (/.f64 (sqrt.f64 2) (-.f64 a1 (-.f64 a1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 2 a2))) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1))) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 1/2 (.f64 2 (/.f64 1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (+.f64 (+.f64 a1 a1) a1)) (-.f64 (.f64 2 (.f64 a1 a1)) (*.f64 a2 a2))))
(/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 12) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 11)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 13) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 12)) (sqrt.f64 2))
(.f64 (neg.f64 (/.f64 1/2 (sqrt.f64 2))) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
(/.f64 (+.f64 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -5)) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 15))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) -3)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 12) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 11)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 15))))
(/.f64 (-.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7)) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6))) (neg.f64 (sqrt.f64 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 1/3)))
(/.f64 1 (/.f64 (sqrt.f64 2) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (/.f64 1/2 (/.f64 1/6 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (/.f64 1 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 1/3))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (-.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 3))))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 15))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 3 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 8))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 11/2))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6)) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6) 2)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (neg.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 11/2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 8)))
(/.f64 1/2 (/.f64 (-.f64 (+.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 9))))
(/.f64 1/2 (/.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (+.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (/.f64 1 (sqrt.f64 2))))
(/.f64 (-.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)) (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)) (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))))
(/.f64 1 (/.f64 (sqrt.f64 2) (-.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)) (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (-.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4)) (+.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 3)))))
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a1 2))
(*.f64 (pow.f64 a1 2) (/.f64 1 (sqrt.f64 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(/.f64 1/2 (*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(/.f64 1/2 (*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (pow.f64 a1 2))))
(/.f64 1/2 (/.f64 (/.f64 1/2 (pow.f64 a1 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 1 (cos.f64 th)))
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1/4)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 (cos.f64 th)))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) (.f64 a2 a2)))
(/.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 (/.f64 1/2 (cos.f64 th)) (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(.f64 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a2 a2) (/.f64 a1 (/.f64 1/2 a1)))))
(.f64 (cos.f64 th) (/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/3))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -3/2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) -5/2)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))))
(/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 3)))
(-.f64 (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)) (.f64 (sqrt.f64 2) 2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2))))

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

Calls

7 calls:

76.0ms	th
61.0ms	(cos.f64 th)
47.0ms	a2
38.0ms	a1
32.0ms	(/.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 2022 to 915 computations (54.7% saved)

regimes200.0ms (1.3%)

Accuracy

Total -36.1b remaining (-139.1%)

Threshold costs -36.1b (-139.1%)

Counts

65 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 1/2 (.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)))
(/.f64 2 (.f64 (/.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)))
(/.f64 (+.f64 a2 (-.f64 (.f64 a2 a2) (-.f64 a2 (.f64 a1 a1)))) (sqrt.f64 2))
(/.f64 (-.f64 a1 (-.f64 a1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2))
(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2))
(/.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 -1 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 a2 (-.f64 (.f64 a2 a2) (-.f64 a2 (*.f64 a1 a1)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 a1 (-.f64 a1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 1/2 (/.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (.f64 2 (/.f64 1/2 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))))
(/.f64 1 (/.f64 (sqrt.f64 2) (-.f64 a1 (-.f64 a1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 2 a2))) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1))) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 1/2 (.f64 2 (/.f64 1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (+.f64 (+.f64 a1 a1) a1)) (-.f64 (.f64 2 (.f64 a1 a1)) (*.f64 a2 a2))))
(/.f64 (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 12) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 11)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 13) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 12)) (sqrt.f64 2))
(.f64 (neg.f64 (/.f64 1/2 (sqrt.f64 2))) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
(/.f64 (+.f64 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -5)) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 15))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (neg.f64 (sqrt.f64 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 -1/2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) -3)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 12) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 11)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 15))))
(/.f64 (-.f64 (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7)) (neg.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6))) (neg.f64 (sqrt.f64 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 1/3)))
(/.f64 1 (/.f64 (sqrt.f64 2) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (/.f64 1/2 (/.f64 1/6 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (/.f64 1 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 1/3))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (-.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 3))))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 15))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 3 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 8))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 11/2))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6)) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6) 2)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 16) (neg.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 11/2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 8)))
(/.f64 1/2 (/.f64 (-.f64 (+.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 6) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 9))))
(/.f64 1/2 (/.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (+.f64 (/.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (/.f64 1 (sqrt.f64 2))))
(/.f64 (-.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)) (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)) (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 3))))
(/.f64 1 (/.f64 (sqrt.f64 2) (-.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2)) (+.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 3)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (-.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4)) (+.f64 (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (/.f64 1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 3)))))
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 7))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)) (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 8)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a1 2))
(*.f64 (pow.f64 a1 2) (/.f64 1 (sqrt.f64 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(/.f64 1/2 (*.f64 1/2 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(/.f64 1/2 (*.f64 (sqrt.f64 2) (/.f64 1/2 (pow.f64 a2 2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (pow.f64 a1 2))))
(/.f64 1/2 (/.f64 (/.f64 1/2 (pow.f64 a1 2)) (/.f64 1 (sqrt.f64 2))))

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

Calls

5 calls:

58.0ms	th
28.0ms	a2
26.0ms	a1
16.0ms	(*.f64 a2 a2)
14.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
25.9b	1	`a1`
25.9b	1	`a2`
25.9b	1	`th`
25.9b	1	`(*.f64 a1 a1)`
25.9b	1	`(*.f64 a2 a2)`

Compiler

Compiled 1515 to 701 computations (53.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	117

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Compiler

Compiled 48 to 34 computations (29.2% saved)

soundness98.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1696×	`rational.json-simplify-67`
1218×	`rational.json-simplify-1`
1094×	`rational.json-simplify-29`
1002×	`rational.json-simplify-50`
720×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	28	39
2	59	39
3	177	39
4	695	39
5	3336	39
6	6775	39
7	7979	39

Stop Event

1×	node limit

Compiler

Compiled 106 to 45 computations (57.5% saved)

end40.0ms (0.3%)

Compiler: Compiled 80 to 52 computations (35% saved)