Details

analyze1.2s (2.6%)

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)

sample11.4s (24.3%)

Results

3.2s	5457×	body	256	valid
3.0s	1863×	body	1024	valid
2.5s	1578×	body	1024	infinite
862.0ms	813×	body	512	infinite
821.0ms	1476×	body	256	infinite
809.0ms	932×	body	512	valid
13.0ms	4×	body	2048	valid

Bogosity

preprocess334.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1354×	`rational_best-simplify-48`
990×	`rational_best-simplify-49`
896×	`rational_best-simplify-51`
804×	`rational_best-simplify-80`
804×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	236
1	65	156
2	162	156
3	347	156
4	945	156
5	2660	156
6	5697	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 (+.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 (+.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 th (/.f64 (cos.f64 a1) (sqrt.f64 2)))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 a1) (sqrt.f64 2)))))
(.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 th (/.f64 (cos.f64 a2) (sqrt.f64 2)))))
(.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)

simplify225.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1390×	`rational_best-simplify-62`
798×	`rational_best-simplify-64`
790×	`rational_best-simplify-65`
706×	`rational_best-simplify-1`
674×	`rational_best-simplify-63`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	29	39
2	69	39
3	145	39
4	372	39
5	1012	39
6	3244	39

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval1.0ms (0%)

Compiler: Compiled 48 to 24 computations (50% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

0.3b

Counts

4 → 3

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.4b

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

▶

0.4b

(*.f64 (/.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 54 to 37 computations (31.5% saved)

localize61.0ms (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 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
✓	0.3b	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))

Compiler

Compiled 47 to 17 computations (63.8% saved)

series27.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
15.0ms	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	th	@	-inf	(.f64 (cos.f64 th) (/.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))

rewrite600.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`rational_best-simplify-1`
982×	`rational_best-simplify-56`
972×	`rational_best-simplify-3`
472×	`rational_best-simplify-65`
434×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	87
1	100	87
2	259	87
3	991	87
4	5529	87

Stop Event

1×	node limit

Counts

3 → 201

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

simplify996.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1104×	`rational_best-simplify-57`
852×	`rational_best-simplify-52`
782×	`rational_best-simplify-48`
742×	`rational_best-simplify-108`
718×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	521	10973
1	1542	10793
2	5037	10505

Stop Event

1×	node limit

Counts

285 → 317

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

localize44.0ms (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)

series30.0ms (0.1%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	th	@	-inf	(/.f64 (cos.f64 th) (sqrt.f64 2))
3.0ms	th	@	inf	(/.f64 (cos.f64 th) (sqrt.f64 2))
1.0ms	th	@	0	(/.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)))
0.0ms	a2	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

rewrite337.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1554×	`rational_best-4`
1554×	`rational_best-2`
1554×	`rational_best-3`
1554×	`rational_best-1`
1552×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	95	54
2	218	54
3	785	54
4	3793	54

Stop Event

1×	node limit

Counts

2 → 64

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

Outputs

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

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

simplify785.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1194×	`rational_best-simplify-50`
1130×	`rational_best-simplify-55`
872×	`rational_best-simplify-49`
812×	`rational_best-simplify-3`
784×	`rational_best-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	195	3176
1	531	3146
2	1502	3146
3	7623	3146

Stop Event

1×	node limit

Counts

104 → 98

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 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))))
(+.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) 4)) (/.f64 (.f64 (cos.f64 th) 3) (*.f64 (sqrt.f64 2) 4)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) 2) (/.f64 (.f64 3/2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2))
(+.f64 (/.f64 (.f64 3/2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2) (/.f64 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) 3) (.f64 (sqrt.f64 2) 4)) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 4)))
(-.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)
(-.f64 0 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(-.f64 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) -2)))
(-.f64 (*.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2))
(-.f64 (*.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (+.f64 (/.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2) 0))
(-.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 3/2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2) (/.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) -2)) 2))
(-.f64 (/.f64 (.f64 3/2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2) (+.f64 (/.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) -2)) 2) 0))
(-.f64 (/.f64 (.f64 (cos.f64 th) 3) (.f64 (sqrt.f64 2) 4)) (/.f64 (neg.f64 (cos.f64 th)) (*.f64 (sqrt.f64 2) 4)))
(-.f64 (/.f64 (.f64 (cos.f64 th) 3) (.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 (neg.f64 (cos.f64 th)) (*.f64 (sqrt.f64 2) 4)) 0))
(*.f64 (cos.f64 th) (/.f64 1 (sqrt.f64 2)))
(.f64 2 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (sqrt.f64 2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (.f64 (cos.f64 th) 2) (/.f64 1/2 (sqrt.f64 2)))
(.f64 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) 2)
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) 2)) 1/2)
(.f64 (.f64 (cos.f64 th) 4) (/.f64 1 (*.f64 (sqrt.f64 2) 4)))
(.f64 -2 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) -2)))
(*.f64 1/2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) 2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (cos.f64 th))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 (cos.f64 th) 2))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) 2))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (*.f64 (cos.f64 th) 4))
(.f64 (/.f64 (.f64 (cos.f64 th) 4) (sqrt.f64 2)) 1/4)
(.f64 (.f64 2 (.f64 (cos.f64 th) 4)) (/.f64 1 (.f64 2 (*.f64 (sqrt.f64 2) 4))))
(.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 (.f64 (cos.f64 th) 2) (*.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 1 (/.f64 2 (sqrt.f64 2))))
(.f64 1/4 (/.f64 (.f64 (cos.f64 th) 4) (sqrt.f64 2)))
(.f64 (/.f64 1 (.f64 2 (.f64 (sqrt.f64 2) 4))) (.f64 2 (*.f64 (cos.f64 th) 4)))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (sqrt.f64 2))))
(.f64 (/.f64 1 (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) 2) (*.f64 (sqrt.f64 2) (sqrt.f64 2))))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 2)) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) 2))) (/.f64 1/2 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) 4)) (/.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)) (.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 2)))
(.f64 (/.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) 4)))
(.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 2 (sqrt.f64 2))) -1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(neg.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 0)
(+.f64 0 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))))
(+.f64 (.f64 (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)) (/.f64 1/2 (sqrt.f64 2)))))
(-.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)) (/.f64 1/2 (sqrt.f64 2)))) (/.f64 (neg.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))) 2))
(/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 1)
(/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) 2))) 2)
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (.f64 (cos.f64 th) 4) (sqrt.f64 2))) 4)
(/.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (.f64 (cos.f64 th) 4) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (.f64 (cos.f64 th) 4) (sqrt.f64 2)))) 8)
(/.f64 (.f64 (/.f64 (.f64 (cos.f64 th) 4) (sqrt.f64 2)) (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) 16)
(pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 1)

Outputs
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(+.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2)))))
(+.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (+.f64 (/.f64 1 (sqrt.f64 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))) (*.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)))))
(+.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (.f64 (pow.f64 th 6) (/.f64 -1/720 (sqrt.f64 2)))) (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2)))))
(+.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (*.f64 (pow.f64 th 6) (/.f64 -1/720 (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 (.f64 (pow.f64 th 2) (+.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 -1/2 (sqrt.f64 2))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (.f64 (pow.f64 th 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 -1/2 (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 (.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 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))))))
(+.f64 (+.f64 (.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (/.f64 -1/2 (sqrt.f64 2))) (.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (/.f64 1/24 (sqrt.f64 2)))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (.f64 (pow.f64 th 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 -1/2 (sqrt.f64 2)))) (+.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))) (/.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)))))))
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(.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 (/.f64 (.f64 (cos.f64 th) 4) (sqrt.f64 2)) (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) 16)
(.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)))
(pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 1)
(.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)))

localize72.0ms (0.2%)

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)

series33.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
17.0ms	th	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
3.0ms	th	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
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)))

rewrite312.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`rational_best-simplify-3`
634×	`rational_best-simplify-55`
624×	`rational_best-simplify-61`
532×	`rational_best-simplify-62`
420×	`rational_best-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	113
1	106	93
2	265	93
3	1045	93
4	5615	93

Stop Event

1×	node limit

Counts

3 → 106

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

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

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

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

simplify596.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1408×	`rational_best-simplify-63`
722×	`rational_best-simplify-65`
656×	`rational_best-simplify-49`
632×	`rational_best-simplify-54`
606×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	345	10608
1	990	7684
2	2999	7536

Stop Event

1×	node limit

Counts

190 → 209

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))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 4)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 2)) (+.f64 (.f64 (+.f64 (.f64 -1/720 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 6)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 4)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 0)
(+.f64 0 (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(+.f64 (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (/.f64 1/2 (sqrt.f64 2)))) (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (/.f64 1/2 (sqrt.f64 2)))))
(-.f64 (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 0)
(-.f64 0 (.f64 (cos.f64 th) (neg.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(-.f64 (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (/.f64 1/2 (sqrt.f64 2)))) (/.f64 (.f64 (cos.f64 th) (neg.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))) 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(/.f64 (.f64 (cos.f64 th) (neg.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))))) -1)
(/.f64 (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) 2))) 2)
(/.f64 (.f64 (.f64 (cos.f64 th) 4) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 4)
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 th) 4) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (.f64 (.f64 (cos.f64 th) 4) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))) 8)
(/.f64 (.f64 (/.f64 (.f64 (cos.f64 th) 4) (sqrt.f64 2)) (*.f64 (+.f64 a1 a1) (+.f64 a1 a1))) 16)
(/.f64 (.f64 (.f64 2 (+.f64 a1 a1)) (.f64 (.f64 (cos.f64 th) 4) (/.f64 a1 (sqrt.f64 2)))) 16)
(/.f64 (.f64 (.f64 (+.f64 a1 a1) (+.f64 a1 a1)) (/.f64 (*.f64 (cos.f64 th) 4) (sqrt.f64 2))) 16)
(/.f64 (.f64 (.f64 (.f64 (cos.f64 th) 4) (/.f64 a1 (sqrt.f64 2))) (.f64 2 (+.f64 a1 a1))) 16)
(/.f64 (.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) 2)) (*.f64 (cos.f64 th) 2)) 4)
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(/.f64 (.f64 a1 (.f64 (cos.f64 th) a1)) (neg.f64 (neg.f64 (sqrt.f64 2))))
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(/.f64 (.f64 a1 (.f64 a1 (.f64 (cos.f64 th) 4))) (neg.f64 (neg.f64 (.f64 (sqrt.f64 2) 4))))
(/.f64 (.f64 a1 (.f64 a1 (/.f64 (*.f64 (cos.f64 th) 4) (sqrt.f64 2)))) 4)
(/.f64 (.f64 a1 (.f64 a1 (.f64 2 (.f64 (cos.f64 th) 4)))) (neg.f64 (neg.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)))))
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(/.f64 (.f64 a1 (.f64 a1 (/.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) 2)) (sqrt.f64 2)))) (neg.f64 (neg.f64 (/.f64 2 (sqrt.f64 2)))))
(pow.f64 (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
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(/.f64 (.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) 2)) (*.f64 (cos.f64 th) 2)) 4)
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(/.f64 (.f64 (.f64 2 (+.f64 a2 a2)) (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2)))) 4)
(/.f64 (.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (neg.f64 (sqrt.f64 2))))) -1)
(/.f64 (.f64 a2 (.f64 (cos.f64 th) a2)) (neg.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 a2 (.f64 (cos.f64 th) (+.f64 a2 a2))) (*.f64 2 (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (.f64 (cos.f64 th) 4))) (neg.f64 (neg.f64 (.f64 (sqrt.f64 2) 4))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (*.f64 (cos.f64 th) 4) (sqrt.f64 2)))) 4)
(/.f64 (.f64 a2 (.f64 a2 (.f64 2 (.f64 (cos.f64 th) 4)))) (neg.f64 (neg.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (sqrt.f64 2))))) (neg.f64 (neg.f64 (/.f64 1 (sqrt.f64 2)))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) 2)) (sqrt.f64 2)))) (neg.f64 (neg.f64 (/.f64 2 (sqrt.f64 2)))))
(pow.f64 (.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1)
(-.f64 (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (neg.f64 (.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(-.f64 (.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (.f64 (cos.f64 th) (neg.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(-.f64 (.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (-.f64 (.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (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 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 0)
(-.f64 0 (neg.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))))
(-.f64 (.f64 (cos.f64 th) (.f64 2 (.f64 a2 (/.f64 a2 (sqrt.f64 2))))) (-.f64 (.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(-.f64 (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) 2))) (+.f64 (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (neg.f64 (.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2)))))))
(-.f64 (.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (/.f64 1/2 (sqrt.f64 2)))) (-.f64 (.f64 (cos.f64 th) (neg.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))))) (.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (/.f64 1/2 (sqrt.f64 2))))))
(-.f64 (.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (/.f64 1/2 (sqrt.f64 2)))) (+.f64 (/.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 2) (.f64 (cos.f64 th) (neg.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))))
(-.f64 (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (/.f64 1/2 (sqrt.f64 2)))) (-.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))) (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (/.f64 1/2 (sqrt.f64 2))))))
(-.f64 (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (/.f64 1/2 (sqrt.f64 2)))) (+.f64 (/.f64 (.f64 (cos.f64 th) (neg.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))))) 2) (neg.f64 (.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))))
(-.f64 (/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) 2) (/.f64 (neg.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)))) 2))
(-.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (/.f64 1/2 (sqrt.f64 2))))) (neg.f64 (.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (/.f64 1/2 (sqrt.f64 2))))))
(-.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (/.f64 1/2 (sqrt.f64 2))))) (neg.f64 (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (/.f64 1/2 (sqrt.f64 2))))))
(-.f64 (-.f64 (.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (-.f64 (.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))))) (neg.f64 (.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(-.f64 (-.f64 (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (/.f64 1/2 (sqrt.f64 2)))) (neg.f64 (.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2)))))) (neg.f64 (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (/.f64 1/2 (sqrt.f64 2))))))
(-.f64 (.f64 (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (-.f64 (.f64 a2 a2) (.f64 -2 (.f64 a1 a1)))) (neg.f64 (.f64 (cos.f64 th) (.f64 (.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 (cos.f64 th) (+.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(.f64 (cos.f64 th) (-.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (neg.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) 1)
(.f64 1 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))))
(.f64 (.f64 (cos.f64 th) 2) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 2 (sqrt.f64 2))))
(.f64 (.f64 (cos.f64 th) 2) (+.f64 (.f64 (.f64 a2 a2) (/.f64 1/2 (sqrt.f64 2))) (.f64 (.f64 a1 a1) (/.f64 1/2 (sqrt.f64 2)))))
(.f64 (.f64 (cos.f64 th) 2) (-.f64 (.f64 (.f64 a2 a2) (/.f64 1/2 (sqrt.f64 2))) (neg.f64 (.f64 (.f64 a1 a1) (/.f64 1/2 (sqrt.f64 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 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) 2)) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2))
(.f64 (.f64 (cos.f64 th) 4) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 4)))
(.f64 (.f64 (.f64 (cos.f64 th) 2) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 1/2)
(.f64 1/2 (.f64 (.f64 (cos.f64 th) 2) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 (.f64 (cos.f64 th) 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) 2) (.f64 (.f64 (cos.f64 th) 4) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (neg.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)))) -1)
(.f64 (.f64 2 (.f64 (.f64 (cos.f64 th) 2) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)))) 1/4)
(.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))))
(.f64 (/.f64 (.f64 (cos.f64 th) 4) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4))
(.f64 (.f64 2 (.f64 (cos.f64 th) 4)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 2 (*.f64 (sqrt.f64 2) 4))))
(.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) 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)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))))
(/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 1)
(/.f64 (.f64 (.f64 (cos.f64 th) 2) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) 2)
(/.f64 (neg.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))) -1)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 th) 2) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (cos.f64 th) 2) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)))) (.f64 2 (.f64 (.f64 (cos.f64 th) 2) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))))) 8)
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 th) 4) (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (.f64 (.f64 (cos.f64 th) 4) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))) 4)
(/.f64 (.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) 2)) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 4)
(/.f64 (.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) 2))) 4)
(pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 1)
(neg.f64 (neg.f64 (.f64 (cos.f64 th) (/.f64 (+.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 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (pow.f64 (.f64 a1 th) 2) (/.f64 -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 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (pow.f64 (.f64 a1 th) 2) (/.f64 -1/2 (sqrt.f64 2)))) (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (/.f64 -1/720 (sqrt.f64 2))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (pow.f64 (.f64 a1 th) 2) (/.f64 -1/2 (sqrt.f64 2)))) (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2)))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))))
(/.f64 (*.f64 (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 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))))
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(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 1/2 (sqrt.f64 2))) (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2))
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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) 4) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 4)))
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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) 2) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 1/2)
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 1/2 (.f64 (.f64 (cos.f64 th) 2) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))))
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 1/2 (sqrt.f64 2)) (.f64 (.f64 (cos.f64 th) 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 1/2 (sqrt.f64 2)) 2) (.f64 (.f64 (cos.f64 th) 4) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)))) -1)
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 2 (.f64 (.f64 (cos.f64 th) 2) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)))) 1/4)
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))))
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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) 4) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4))
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 2 (.f64 (cos.f64 th) 4)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 2 (*.f64 (sqrt.f64 2) 4))))
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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) (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) 2) (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) 2) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (cos.f64 th) (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2) (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) 2)) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) 2) (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) 2) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (cos.f64 th) (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))))
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 1)
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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) 2) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) 2)
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))) -1)
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 2 (.f64 (.f64 (cos.f64 th) 2) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))) 4)
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 2 (.f64 (.f64 (cos.f64 th) 2) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)))) (.f64 2 (.f64 (.f64 (cos.f64 th) 2) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))))) 8)
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 (cos.f64 th) 4) (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (.f64 (.f64 (cos.f64 th) 4) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))) 4)
(/.f64 (+.f64 (.f64 4 (.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 a1 (cos.f64 th)))) (.f64 4 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)))) 4)
(/.f64 (.f64 (.f64 4 (cos.f64 th)) (+.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 4)
(/.f64 (.f64 (/.f64 (.f64 (cos.f64 th) 8) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 8)
(/.f64 (.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) 2)) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 4)
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) 2))) 4)
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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)))
(pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 1)
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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)))
(neg.f64 (neg.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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)))

eval2.0s (4.3%)

Compiler: Compiled 21327 to 12062 computations (43.4% saved)

prune890.0ms (1.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	840	11	851
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	841	13	854

Error

Counts

854 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) (.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (neg.f64 (sqrt.f64 2)))
▶	0.4b	(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
	1.0b	(/.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) 4)
	0.4b	(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 a1 (cos.f64 th))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
	0.9b	(.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1 (sqrt.f64 2))))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	25.5b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	0.5b	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) 2) (/.f64 1 (sqrt.f64 2))))
	0.5b	(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	0.5b	(.f64 (cos.f64 th) (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2) (/.f64 1 (sqrt.f64 2))))
✓	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
▶	0.7b	(.f64 (cos.f64 th) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -4)))
▶	0.4b	(.f64 (cos.f64 th) (+.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))

Compiler

Compiled 498 to 360 computations (27.7% saved)

localize93.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 60 to 40 computations (33.3% saved)

series5.0ms (0%)

Counts

4 → 24

Calls

12 calls:

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

rewrite368.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`rational_best-simplify-51`
1010×	`rational_best-4`
1010×	`rational_best-2`
1010×	`rational_best-3`
1010×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	75	56
2	164	56
3	529	56
4	2642	56

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

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

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

simplify306.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1152×	`rational_best-simplify-65`
1078×	`rational_best-simplify-1`
738×	`rational_best-simplify-67`
674×	`rational_best-simplify-63`
576×	`rational_best-simplify-64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	3252
1	749	3176
2	2362	3064

Stop Event

1×	node limit

Counts

182 → 186

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 a1 (sqrt.f64 2)) 0)
(+.f64 0 (/.f64 a1 (sqrt.f64 2)))
(+.f64 (/.f64 (/.f64 a1 2) (sqrt.f64 2)) (/.f64 (/.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 2 (/.f64 a1 (sqrt.f64 2))) (/.f64 (neg.f64 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) 4) (/.f64 (*.f64 3/2 (/.f64 a1 (sqrt.f64 2))) 2))
(+.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) 4) (/.f64 (.f64 a1 3) (.f64 (sqrt.f64 2) 4)))
(+.f64 (/.f64 (*.f64 3/2 (/.f64 a1 (sqrt.f64 2))) 2) (/.f64 (/.f64 a1 (sqrt.f64 2)) 4))
(+.f64 (/.f64 (.f64 a1 3) (.f64 (sqrt.f64 2) 4)) (/.f64 (/.f64 a1 (sqrt.f64 2)) 4))
(+.f64 (-.f64 (/.f64 (/.f64 a1 2) (sqrt.f64 2)) -1) (neg.f64 (+.f64 1 (/.f64 a1 (*.f64 (sqrt.f64 2) -2)))))
(+.f64 (-.f64 (/.f64 (/.f64 a1 2) (sqrt.f64 2)) (+.f64 -1 (/.f64 a1 (*.f64 (sqrt.f64 2) -2)))) -1)
(+.f64 (-.f64 (.f64 2 (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 2) (sqrt.f64 2))) (/.f64 a1 (.f64 (sqrt.f64 2) -2)))
(+.f64 (-.f64 (.f64 2 (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) 4)) (neg.f64 (/.f64 (.f64 3/2 (/.f64 a1 (sqrt.f64 2))) 2)))
(+.f64 (-.f64 (.f64 2 (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) 4)) (neg.f64 (/.f64 (.f64 a1 3) (*.f64 (sqrt.f64 2) 4))))
(-.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(-.f64 (/.f64 a1 (sqrt.f64 2)) (-.f64 (.f64 2 (/.f64 a1 (sqrt.f64 2))) (.f64 2 (/.f64 a1 (sqrt.f64 2)))))
(-.f64 0 (/.f64 (neg.f64 a1) (sqrt.f64 2)))
(-.f64 (/.f64 (/.f64 a1 2) (sqrt.f64 2)) (/.f64 a1 (*.f64 (sqrt.f64 2) -2)))
(-.f64 (*.f64 2 (/.f64 a1 (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(-.f64 (/.f64 (neg.f64 a1) (sqrt.f64 2)) (*.f64 -2 (/.f64 a1 (sqrt.f64 2))))
(-.f64 (/.f64 a1 (.f64 (sqrt.f64 2) -2)) (-.f64 (/.f64 (/.f64 a1 2) (sqrt.f64 2)) (.f64 2 (/.f64 a1 (sqrt.f64 2)))))
(-.f64 (/.f64 (.f64 3/2 (/.f64 a1 (sqrt.f64 2))) 2) (/.f64 (/.f64 a1 (.f64 (sqrt.f64 2) -2)) 2))
(-.f64 (/.f64 (.f64 3/2 (/.f64 a1 (sqrt.f64 2))) 2) (+.f64 (/.f64 (/.f64 a1 (.f64 (sqrt.f64 2) -2)) 2) 0))
(-.f64 (/.f64 (.f64 a1 3) (.f64 (sqrt.f64 2) 4)) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 2) 4)))
(-.f64 (/.f64 (.f64 a1 3) (.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 2) 4)) 0))
(-.f64 (/.f64 (/.f64 a1 (.f64 (sqrt.f64 2) -2)) 2) (-.f64 (/.f64 (.f64 3/2 (/.f64 a1 (sqrt.f64 2))) 2) (*.f64 2 (/.f64 a1 (sqrt.f64 2)))))
(-.f64 (/.f64 (neg.f64 a1) (.f64 (sqrt.f64 2) 4)) (-.f64 (/.f64 (.f64 a1 3) (.f64 (sqrt.f64 2) 4)) (.f64 2 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (/.f64 1 (sqrt.f64 2)))
(*.f64 2 (/.f64 (/.f64 a1 2) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 (/.f64 a1 (sqrt.f64 2)) (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (+.f64 a1 a1) (/.f64 1/2 (sqrt.f64 2)))
(*.f64 (+.f64 a1 a1) (-.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 a1 2) (sqrt.f64 2)) 2)
(.f64 (.f64 2 (/.f64 a1 (sqrt.f64 2))) 1/2)
(.f64 (.f64 a1 4) (/.f64 1 (*.f64 (sqrt.f64 2) 4)))
(.f64 (.f64 a1 4) (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1 (*.f64 (sqrt.f64 2) 4))))
(.f64 1/2 (.f64 2 (/.f64 a1 (sqrt.f64 2))))
(.f64 1/2 (-.f64 (/.f64 (.f64 a1 4) (sqrt.f64 2)) (*.f64 2 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 (/.f64 1 (sqrt.f64 2)) a1)
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (/.f64 a1 (sqrt.f64 2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 a1 a1) a1))
(*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 a1 a1))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 2 (/.f64 a1 (sqrt.f64 2)))))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (-.f64 (.f64 a1 4) (+.f64 a1 a1)))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (*.f64 a1 4))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (-.f64 (.f64 2 (.f64 a1 4)) (*.f64 a1 4)))
(.f64 (/.f64 (.f64 a1 4) (sqrt.f64 2)) 1/4)
(.f64 (.f64 2 (.f64 a1 4)) (/.f64 1 (.f64 (*.f64 2 (sqrt.f64 2)) 4)))
(.f64 (.f64 2 (.f64 a1 4)) (-.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (/.f64 1 (.f64 (.f64 2 (sqrt.f64 2)) 4))))
(*.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (sqrt.f64 2)) (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 1 (/.f64 1 (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 (sqrt.f64 2) 2)) (/.f64 1 (/.f64 2 (sqrt.f64 2))))
(.f64 -2 (/.f64 a1 (.f64 (sqrt.f64 2) -2)))
(.f64 1/4 (/.f64 (.f64 a1 4) (sqrt.f64 2)))
(.f64 (/.f64 1 (.f64 (.f64 2 (sqrt.f64 2)) 4)) (.f64 2 (*.f64 a1 4)))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (sqrt.f64 2)))
(*.f64 (/.f64 1 (/.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 (sqrt.f64 2) 2)))
(.f64 (.f64 a1 (sqrt.f64 2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 a1 a1)) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (/.f64 a1 (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 2 (/.f64 a1 (sqrt.f64 2)))) (/.f64 1/2 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 a1 4)) (/.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)) (.f64 a1 (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (+.f64 a1 a1)))
(.f64 (/.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 a1 4)))
(pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(neg.f64 (/.f64 (neg.f64 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(+.f64 0 (/.f64 a2 (sqrt.f64 2)))
(+.f64 (.f64 a2 (/.f64 1/2 (sqrt.f64 2))) (.f64 a2 (/.f64 1/2 (sqrt.f64 2))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) 2)) (/.f64 (neg.f64 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (.f64 (sqrt.f64 2) 4)) (/.f64 (.f64 3/2 (/.f64 a2 (sqrt.f64 2))) 2))
(+.f64 (/.f64 a2 (.f64 (sqrt.f64 2) 4)) (/.f64 (.f64 a2 3) (*.f64 (sqrt.f64 2) 4)))
(+.f64 (/.f64 (.f64 3/2 (/.f64 a2 (sqrt.f64 2))) 2) (/.f64 a2 (.f64 (sqrt.f64 2) 4)))
(+.f64 (/.f64 (.f64 a2 3) (.f64 (sqrt.f64 2) 4)) (/.f64 a2 (*.f64 (sqrt.f64 2) 4)))
(+.f64 (-.f64 (.f64 a2 (/.f64 1/2 (sqrt.f64 2))) -1) (neg.f64 (+.f64 1 (/.f64 a2 (.f64 (sqrt.f64 2) -2)))))
(+.f64 (-.f64 (.f64 a2 (/.f64 1/2 (sqrt.f64 2))) (+.f64 -1 (/.f64 a2 (.f64 (sqrt.f64 2) -2)))) -1)
(+.f64 (-.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) 2)) (.f64 a2 (/.f64 1/2 (sqrt.f64 2)))) (/.f64 a2 (.f64 (sqrt.f64 2) -2)))
(+.f64 (-.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) 2)) (/.f64 a2 (.f64 (sqrt.f64 2) 4))) (neg.f64 (/.f64 (.f64 3/2 (/.f64 a2 (sqrt.f64 2))) 2)))
(+.f64 (-.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) 2)) (/.f64 a2 (.f64 (sqrt.f64 2) 4))) (neg.f64 (/.f64 (.f64 a2 3) (*.f64 (sqrt.f64 2) 4))))
(-.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(-.f64 (/.f64 a2 (sqrt.f64 2)) (-.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) 2))))
(-.f64 0 (/.f64 (neg.f64 a2) (sqrt.f64 2)))
(-.f64 (.f64 a2 (/.f64 1/2 (sqrt.f64 2))) (/.f64 a2 (.f64 (sqrt.f64 2) -2)))
(-.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) 2)) (/.f64 a2 (sqrt.f64 2)))
(-.f64 (/.f64 (neg.f64 a2) (sqrt.f64 2)) (*.f64 -2 (/.f64 a2 (sqrt.f64 2))))
(-.f64 (/.f64 a2 (.f64 (sqrt.f64 2) -2)) (-.f64 (.f64 a2 (/.f64 1/2 (sqrt.f64 2))) (/.f64 a2 (/.f64 (sqrt.f64 2) 2))))
(-.f64 (/.f64 (.f64 3/2 (/.f64 a2 (sqrt.f64 2))) 2) (/.f64 (/.f64 a2 (.f64 (sqrt.f64 2) -2)) 2))
(-.f64 (/.f64 (.f64 3/2 (/.f64 a2 (sqrt.f64 2))) 2) (+.f64 (/.f64 (/.f64 a2 (.f64 (sqrt.f64 2) -2)) 2) 0))
(-.f64 (/.f64 (.f64 a2 3) (.f64 (sqrt.f64 2) 4)) (/.f64 (neg.f64 a2) (*.f64 (sqrt.f64 2) 4)))
(-.f64 (/.f64 (.f64 a2 3) (.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 (neg.f64 a2) (*.f64 (sqrt.f64 2) 4)) 0))
(-.f64 (/.f64 (/.f64 a2 (.f64 (sqrt.f64 2) -2)) 2) (-.f64 (/.f64 (.f64 3/2 (/.f64 a2 (sqrt.f64 2))) 2) (/.f64 a2 (/.f64 (sqrt.f64 2) 2))))
(-.f64 (/.f64 (neg.f64 a2) (.f64 (sqrt.f64 2) 4)) (-.f64 (/.f64 (.f64 a2 3) (*.f64 (sqrt.f64 2) 4)) (/.f64 a2 (/.f64 (sqrt.f64 2) 2))))
(.f64 2 (.f64 a2 (/.f64 1/2 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (/.f64 a2 (.f64 (sqrt.f64 2) (sqrt.f64 2))))
(*.f64 a2 (/.f64 1 (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (+.f64 a2 a2) (/.f64 1/2 (sqrt.f64 2)))
(*.f64 (+.f64 a2 a2) (-.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1/2 (sqrt.f64 2))))
(.f64 (.f64 a2 (/.f64 1/2 (sqrt.f64 2))) 2)
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) 2)) 1/2)
(.f64 (.f64 a2 4) (/.f64 1 (*.f64 (sqrt.f64 2) 4)))
(.f64 (.f64 a2 4) (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1 (*.f64 (sqrt.f64 2) 4))))
(*.f64 1/2 (/.f64 a2 (/.f64 (sqrt.f64 2) 2)))
(.f64 1/2 (-.f64 (/.f64 (.f64 a2 4) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) 2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) a2)
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (/.f64 a2 (sqrt.f64 2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 a2 a2) a2))
(*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 a2 a2))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (/.f64 a2 (/.f64 (sqrt.f64 2) 2))))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (-.f64 (.f64 a2 4) (+.f64 a2 a2)))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (*.f64 a2 4))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (-.f64 (.f64 (+.f64 a2 a2) 4) (.f64 a2 4)))
(.f64 (/.f64 (.f64 a2 4) (sqrt.f64 2)) 1/4)
(.f64 (.f64 (+.f64 a2 a2) 4) (/.f64 1 (.f64 (.f64 2 (sqrt.f64 2)) 4)))
(.f64 (.f64 (+.f64 a2 a2) 4) (-.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (/.f64 1 (.f64 (*.f64 2 (sqrt.f64 2)) 4))))
(.f64 (/.f64 a2 (.f64 (sqrt.f64 2) (sqrt.f64 2))) (sqrt.f64 2))
(.f64 (/.f64 a2 (.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 1 (/.f64 1 (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 (sqrt.f64 2) 2)) (/.f64 1 (/.f64 2 (sqrt.f64 2))))
(.f64 -2 (/.f64 a2 (.f64 (sqrt.f64 2) -2)))
(.f64 1/4 (/.f64 (.f64 a2 4) (sqrt.f64 2)))
(.f64 (/.f64 1 (.f64 (.f64 2 (sqrt.f64 2)) 4)) (.f64 (+.f64 a2 a2) 4))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (/.f64 a2 (.f64 (sqrt.f64 2) (sqrt.f64 2))))
(*.f64 (/.f64 1 (/.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 (sqrt.f64 2) 2)))
(.f64 (.f64 (sqrt.f64 2) a2) (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 a2 a2)) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (/.f64 a2 (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (/.f64 a2 (/.f64 (sqrt.f64 2) 2))) (/.f64 1/2 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 a2 4)) (/.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) a2))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (+.f64 a2 a2)))
(.f64 (/.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 a2 4)))
(pow.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(neg.f64 (/.f64 (neg.f64 a2) (sqrt.f64 2)))
(+.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 0)
(+.f64 0 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (.f64 a2 (.f64 a2 (/.f64 1/2 (sqrt.f64 2)))) (.f64 a2 (.f64 a2 (/.f64 1/2 (sqrt.f64 2)))))
(-.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 0)
(-.f64 (.f64 a2 (.f64 a2 (/.f64 1/2 (sqrt.f64 2)))) (/.f64 (neg.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 2))
(/.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(/.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) 2))) 2)
(/.f64 (.f64 a2 (/.f64 (.f64 a2 4) (sqrt.f64 2))) 4)
(/.f64 (.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) 8) 8)
(/.f64 (.f64 (.f64 a2 4) (/.f64 (*.f64 a2 4) (sqrt.f64 2))) 16)
(pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(+.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 0)
(+.f64 0 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (.f64 a1 (/.f64 (/.f64 a1 2) (sqrt.f64 2))) (.f64 a1 (/.f64 (/.f64 a1 2) (sqrt.f64 2))))
(-.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 0)
(-.f64 (.f64 a1 (/.f64 (/.f64 a1 2) (sqrt.f64 2))) (/.f64 (neg.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 2))
(/.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)
(/.f64 (.f64 a1 (.f64 2 (/.f64 a1 (sqrt.f64 2)))) 2)
(/.f64 (.f64 a1 (/.f64 (.f64 a1 4) (sqrt.f64 2))) 4)
(/.f64 (.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) 8) 8)
(/.f64 (.f64 (.f64 a1 4) (/.f64 (*.f64 a1 4) (sqrt.f64 2))) 16)
(pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)

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

localize35.0ms (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	@	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)))

rewrite255.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`rational_best-2`
910×	`rational_best-3`
910×	`rational_best-1`
908×	`rational_best-4`
908×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	88	40
2	180	40
3	565	40
4	2424	40

Stop Event

1×	node limit

Counts

2 → 100

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

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

simplify396.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1354×	`rational_best-simplify-47`
846×	`rational_best-simplify-1`
840×	`rational_best-simplify-49`
800×	`rational_best-simplify-53`
704×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	3346
1	838	3342
2	4189	3336

Stop Event

1×	node limit

Counts

124 → 115

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 0 (/.f64 1 (sqrt.f64 2)))
(+.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 (sqrt.f64 2)))
(-.f64 (/.f64 1 (sqrt.f64 2)) 0)
(-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) 2))
(*.f64 1 (/.f64 1 (sqrt.f64 2)))
(*.f64 2 (/.f64 1/2 (sqrt.f64 2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) 1)
(.f64 4 (/.f64 1 (.f64 (sqrt.f64 2) 4)))
(*.f64 (/.f64 2 (sqrt.f64 2)) 1/2)
(*.f64 1/2 (/.f64 2 (sqrt.f64 2)))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) 4)
(*.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(.f64 8 (/.f64 1/2 (.f64 (sqrt.f64 2) 4)))
(*.f64 (/.f64 4 (sqrt.f64 2)) 1/4)
(*.f64 1/4 (/.f64 4 (sqrt.f64 2)))
(.f64 (/.f64 1/2 (.f64 (sqrt.f64 2) 4)) 8)
(pow.f64 (/.f64 1 (sqrt.f64 2)) 1)
(+.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 0 (/.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))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 2 (sqrt.f64 2))))
(+.f64 (.f64 a1 (/.f64 a1 (.f64 2 (sqrt.f64 2)))) (/.f64 (+.f64 (.f64 a2 a2) (/.f64 (.f64 a1 a1) 2)) (sqrt.f64 2)))
(+.f64 (.f64 a2 (/.f64 a2 (.f64 2 (sqrt.f64 2)))) (/.f64 (+.f64 (.f64 a1 a1) (/.f64 (.f64 a2 a2) 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (neg.f64 (.f64 a2 (/.f64 (neg.f64 a2) (sqrt.f64 2)))))
(+.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (neg.f64 (.f64 a1 (/.f64 (neg.f64 a1) (sqrt.f64 2)))))
(+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (/.f64 (.f64 a1 a1) 2)) (sqrt.f64 2)) (.f64 a1 (/.f64 a1 (.f64 2 (sqrt.f64 2)))))
(+.f64 (/.f64 (+.f64 (.f64 a1 a1) (/.f64 (.f64 a2 a2) 2)) (sqrt.f64 2)) (.f64 a2 (/.f64 a2 (.f64 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 0 (/.f64 (neg.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))) (/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 2 (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 a2 (/.f64 (neg.f64 a2) (sqrt.f64 2))))
(-.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (.f64 a1 (/.f64 (neg.f64 a1) (sqrt.f64 2))))
(-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 2 (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (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 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) (sqrt.f64 2)))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 2 (sqrt.f64 2))) 1/2)
(/.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 2 (sqrt.f64 2)))
(/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 2)
(/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (/.f64 (.f64 2 (sqrt.f64 2)) (sqrt.f64 2)))
(/.f64 (neg.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) 4)) 1/4)
(/.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) 4))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 4 (sqrt.f64 2))) 4)
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) 4) (sqrt.f64 2)))
(/.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 2) -2))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 8 (sqrt.f64 2))) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) (.f64 2 (.f64 (sqrt.f64 2) 4)))
(/.f64 (.f64 4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) (.f64 4 (.f64 (sqrt.f64 2) 4)))
(/.f64 (.f64 (/.f64 4 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) 16)
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2))) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 4 (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 4 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 1/2) (.f64 (sqrt.f64 2) 4))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/2) (*.f64 2 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) (*.f64 (sqrt.f64 2) 4)) 4)
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (sqrt.f64 2)) 4) (/.f64 1 (*.f64 (sqrt.f64 2) 4)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 1 (*.f64 (sqrt.f64 2) 4))) 4)
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 1/2 (sqrt.f64 2))) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (sqrt.f64 2)) 8) (/.f64 1/2 (*.f64 (sqrt.f64 2) 4)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 4 (sqrt.f64 2))) 1/4)
(/.f64 (/.f64 (/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) (sqrt.f64 2)) 2) (/.f64 1 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) 2)
(/.f64 (/.f64 (/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) (sqrt.f64 2)) 4) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 1 (.f64 (sqrt.f64 2) 4))) 8)
(/.f64 (/.f64 (/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 1/2 (sqrt.f64 2))) 4)
(/.f64 (/.f64 (/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (sqrt.f64 2)) 8) (/.f64 1 (.f64 (sqrt.f64 2) 4)))
(/.f64 (/.f64 (/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 4 (sqrt.f64 2))) 1/2)
(/.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 4 (sqrt.f64 2))) (sqrt.f64 2)) 2) (/.f64 2 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 4 (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) 2)
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 1 (sqrt.f64 2))) -1)
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (sqrt.f64 2) -4))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 2 (sqrt.f64 2))) -2)
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 8) (neg.f64 (.f64 2 (*.f64 (sqrt.f64 2) 4))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 4 (sqrt.f64 2))) -4)
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 16) (neg.f64 (.f64 4 (*.f64 (sqrt.f64 2) 4))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 8 (sqrt.f64 2))) -8)
(/.f64 (.f64 (neg.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)) (neg.f64 (/.f64 1 (sqrt.f64 2)))) -1)
(/.f64 (+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) 2)) (/.f64 (.f64 2 (*.f64 a2 a2)) (sqrt.f64 2))) 2)
(/.f64 (+.f64 (/.f64 (.f64 2 (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) 2))) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (.f64 2 (sqrt.f64 2)))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) 4)) (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) 4))) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (+.f64 (/.f64 (.f64 a1 (.f64 a1 4)) (sqrt.f64 2)) (/.f64 (.f64 (.f64 a2 a2) 4) (sqrt.f64 2))) 4)
(/.f64 (+.f64 (.f64 4 (.f64 a1 (.f64 a1 4))) (.f64 4 (.f64 (.f64 a2 a2) 4))) (.f64 4 (.f64 (sqrt.f64 2) 4)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 a2 a2) 4) (sqrt.f64 2)) (/.f64 (.f64 a1 (.f64 a1 4)) (sqrt.f64 2))) 4)
(/.f64 (+.f64 (.f64 4 (.f64 (.f64 a2 a2) 4)) (.f64 4 (.f64 a1 (.f64 a1 4)))) (.f64 4 (.f64 (sqrt.f64 2) 4)))
(/.f64 (-.f64 (.f64 (.f64 a2 a2) 4) (neg.f64 (.f64 a1 (.f64 a1 4)))) (*.f64 (sqrt.f64 2) 4))
(/.f64 (-.f64 (/.f64 (.f64 2 (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (.f64 a1 (.f64 -2 a1)) (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 1)

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))
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(/.f64 1 (sqrt.f64 2))
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(/.f64 1 (sqrt.f64 2))
(+.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(-.f64 (/.f64 1 (sqrt.f64 2)) 0)
(/.f64 1 (sqrt.f64 2))
(-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) 2))
(-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1 (sqrt.f64 2)) -2))
(*.f64 1 (/.f64 1 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(*.f64 2 (/.f64 1/2 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) 1)
(/.f64 1 (sqrt.f64 2))
(.f64 4 (/.f64 1 (.f64 (sqrt.f64 2) 4)))
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 2 (sqrt.f64 2)) 1/2)
(/.f64 1 (sqrt.f64 2))
(*.f64 1/2 (/.f64 2 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) 4)
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 1/2 (sqrt.f64 2)) 2)
(/.f64 1 (sqrt.f64 2))
(.f64 8 (/.f64 1/2 (.f64 (sqrt.f64 2) 4)))
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 4 (sqrt.f64 2)) 1/4)
(/.f64 1 (sqrt.f64 2))
(*.f64 1/4 (/.f64 4 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(.f64 (/.f64 1/2 (.f64 (sqrt.f64 2) 4)) 8)
(/.f64 1 (sqrt.f64 2))
(pow.f64 (/.f64 1 (sqrt.f64 2)) 1)
(/.f64 1 (sqrt.f64 2))
(+.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 0)
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(/.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 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 2 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 2 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
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(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
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(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (neg.f64 (.f64 a2 (/.f64 (neg.f64 a2) (sqrt.f64 2)))))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (neg.f64 (.f64 a2 (/.f64 a2 (neg.f64 (sqrt.f64 2))))))
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(+.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (neg.f64 (.f64 a1 (/.f64 a1 (neg.f64 (sqrt.f64 2))))))
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(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (/.f64 (.f64 a1 a1) 2)) (sqrt.f64 2)) (.f64 a1 (/.f64 a1 (.f64 2 (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
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(/.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 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
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(/.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))
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(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
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(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
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(-.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 a2 (/.f64 a2 (neg.f64 (sqrt.f64 2)))))
(-.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (.f64 a1 (/.f64 (neg.f64 a1) (sqrt.f64 2))))
(-.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (.f64 a1 (/.f64 a1 (neg.f64 (sqrt.f64 2)))))
(-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (neg.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 2 (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 a2 (.f64 a2 2)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 2)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 (-.f64 a2 (*.f64 a2 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)) 1)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) (sqrt.f64 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))) 1/2)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 2 (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))) 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 2 (sqrt.f64 2)) (sqrt.f64 2)))
(/.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 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 4)) 1/4)
(/.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) 4))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 4 (sqrt.f64 2))) 4)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) 4) (sqrt.f64 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 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 8 (sqrt.f64 2))) 8)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) (.f64 2 (.f64 (sqrt.f64 2) 4)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) (.f64 4 (.f64 (sqrt.f64 2) 4)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (/.f64 4 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) 16)
(/.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 (sqrt.f64 2))) (/.f64 1/2 (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)) (sqrt.f64 2)) (/.f64 1 (sqrt.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))) (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 4 (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 4 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 1/2) (.f64 (sqrt.f64 2) 4))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/2) (*.f64 2 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 4 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) (*.f64 (sqrt.f64 2) 4)) 4)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (sqrt.f64 2)) 4) (/.f64 1 (*.f64 (sqrt.f64 2) 4)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 1 (*.f64 (sqrt.f64 2) 4))) 4)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 1/2 (sqrt.f64 2))) 2)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (sqrt.f64 2)) 8) (/.f64 1/2 (*.f64 (sqrt.f64 2) 4)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 4 (sqrt.f64 2))) 1/4)
(/.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))) (sqrt.f64 2)) 2) (/.f64 1 (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))) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) 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))) (sqrt.f64 2)) 4) (/.f64 1/2 (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))) (sqrt.f64 2)) (/.f64 1 (.f64 (sqrt.f64 2) 4))) 8)
(/.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))) (sqrt.f64 2)) (/.f64 1/2 (sqrt.f64 2))) 4)
(/.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))) (sqrt.f64 2)) 8) (/.f64 1 (.f64 (sqrt.f64 2) 4)))
(/.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))) (sqrt.f64 2)) (/.f64 4 (sqrt.f64 2))) 1/2)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 4 (sqrt.f64 2))) (sqrt.f64 2)) 2) (/.f64 2 (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)) (/.f64 4 (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) 2)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 1 (sqrt.f64 2))) -1)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (.f64 (sqrt.f64 2) -4))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (neg.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 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 8) (neg.f64 (.f64 2 (*.f64 (sqrt.f64 2) 4))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 4 (sqrt.f64 2))) -4)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 16) (neg.f64 (.f64 4 (*.f64 (sqrt.f64 2) 4))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 8 (sqrt.f64 2))) -8)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (neg.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)) (neg.f64 (/.f64 1 (sqrt.f64 2)))) -1)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) 2)) (/.f64 (.f64 2 (*.f64 a2 a2)) (sqrt.f64 2))) 2)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (+.f64 (/.f64 (.f64 2 (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) 2))) 2)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (.f64 2 (sqrt.f64 2)))) (/.f64 1 (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)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) 4)) (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) 4))) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (+.f64 (/.f64 (.f64 a1 (.f64 a1 4)) (sqrt.f64 2)) (/.f64 (.f64 (.f64 a2 a2) 4) (sqrt.f64 2))) 4)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 4 (.f64 a1 (.f64 a1 4))) (.f64 4 (.f64 (.f64 a2 a2) 4))) (.f64 4 (.f64 (sqrt.f64 2) 4)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 a2 a2) 4) (sqrt.f64 2)) (/.f64 (.f64 a1 (.f64 a1 4)) (sqrt.f64 2))) 4)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 4 (.f64 (.f64 a2 a2) 4)) (.f64 4 (.f64 a1 (.f64 a1 4)))) (.f64 4 (.f64 (sqrt.f64 2) 4)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (.f64 a2 a2) 4) (neg.f64 (.f64 a1 (.f64 a1 4)))) (*.f64 (sqrt.f64 2) 4))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (-.f64 (/.f64 (.f64 2 (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (.f64 a1 (.f64 -2 a1)) (sqrt.f64 2))) 2)
(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 2)) (.f64 a1 (.f64 a1 -2))) (sqrt.f64 2)) 2)
(/.f64 (/.f64 (-.f64 (.f64 2 (.f64 a2 a2)) (.f64 (.f64 a1 a1) -2)) (sqrt.f64 2)) 2)
(pow.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 1)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))

localize70.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(-.f64 (*.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))

✓

0.2b

(*.f64 (-.f64 (*.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (cos.f64 th))

✓

0.4b

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

Compiler

Compiled 57 to 19 computations (66.7% saved)

series35.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
17.0ms	th	@	0	(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
6.0ms	a2	@	0	(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
2.0ms	th	@	inf	(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
2.0ms	th	@	-inf	(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
2.0ms	a1	@	0	(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))

rewrite433.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1162×	`rational_best-simplify-56`
764×	`rational_best-simplify-3`
688×	`rational_best-simplify-62`
468×	`rational_best-simplify-49`
432×	`rational_best-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	103
1	114	103
2	280	99
3	1041	95
4	6195	95

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

Inputs

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

(*.f64 (-.f64 (*.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (cos.f64 th))

(-.f64 (*.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))

Outputs

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

simplify511.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1142×	`rational_best-simplify-63`
878×	`rational_best-simplify-67`
720×	`rational_best-simplify-64`
638×	`rational_best-simplify-1`
632×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	12267
1	1211	11495
2	3973	11127

Stop Event

1×	node limit

Counts

279 → 293

Calls

Call 1

Inputs
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (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 (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 (-.f64 (.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (sqrt.f64 2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (sqrt.f64 2))) (.f64 1/720 (/.f64 (.f64 (-.f64 (*.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 th 6)) (sqrt.f64 2))))))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2)) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (.f64 (cos.f64 th) (pow.f64 a2 2)))
(+.f64 (.f64 -1 (.f64 (cos.f64 th) (pow.f64 a2 2))) (.f64 -1 (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 -1 (.f64 (cos.f64 th) (pow.f64 a2 2))) (.f64 -1 (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 -1 (.f64 (cos.f64 th) (pow.f64 a2 2))) (.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) (cos.f64 th))) (.f64 -1 (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 -1 (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a2 2) (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) (cos.f64 th))) (.f64 -1 (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 -1 (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a2 2) (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) (cos.f64 th))) (.f64 -1 (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 -1 (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a2 2) (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 a2 2) (cos.f64 th))) (.f64 -1 (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 -1 (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a2 2) (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 a2 2) (cos.f64 th))) (.f64 -1 (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 -1 (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 -1 (.f64 (pow.f64 a1 2) (cos.f64 th))))
(-.f64 (*.f64 -1 (pow.f64 a1 2)) (pow.f64 a2 2))
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(.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 1 (/.f64 1 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) -2) (sqrt.f64 2))) (/.f64 1 (/.f64 -2 (sqrt.f64 2))))
(.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (sqrt.f64 2))))
(.f64 (-.f64 0 (.f64 -2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) (/.f64 (cos.f64 th) 2))
(.f64 (-.f64 0 (.f64 -2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) (-.f64 (cos.f64 th) (/.f64 (cos.f64 th) 2)))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))) (/.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2))) (/.f64 (/.f64 -1/2 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))) (/.f64 -1 (sqrt.f64 2)))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 1 (sqrt.f64 2)))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)) (/.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -4))) (/.f64 (/.f64 1 (*.f64 (sqrt.f64 2) -4)) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2))) (/.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (cos.f64 th))) (/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))) (/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (cos.f64 th) 2)) (/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (sqrt.f64 2))) (neg.f64 (sqrt.f64 2))))
(.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) -2) (sqrt.f64 2))) (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) -4) (.f64 2 (sqrt.f64 2)))) (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))
(pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 1)
(neg.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) 0)
(+.f64 0 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) 2))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) 4) (/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) 3) 4))
(+.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) 3) 4) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) 4))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) 0)
(-.f64 0 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) -2))
(-.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) 3) 4) (/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1) 4))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) 1)
(/.f64 (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2)) 2)
(/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1) -1)
(/.f64 (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -4)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -4))) 8)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (cos.f64 th) 2)) -2)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (*.f64 (cos.f64 th) 2))) -4)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) -1)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) -2)
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (neg.f64 (cos.f64 th))) -1)
(/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -4) (.f64 2 (.f64 (cos.f64 th) 2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 th) 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -4)) 16)
(/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2) (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2)) 4)
(pow.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) 1)
(neg.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1))
(neg.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(neg.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (neg.f64 (cos.f64 th))))
(+.f64 (.f64 a1 (neg.f64 a1)) (neg.f64 (.f64 a2 a2)))
(+.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) 0)
(+.f64 0 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))
(+.f64 (neg.f64 (.f64 a2 a2)) (.f64 a1 (neg.f64 a1)))
(+.f64 (-.f64 (.f64 a1 (.f64 a1 -2)) (.f64 a2 a2)) (.f64 a1 a1))
(+.f64 (/.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) 2) (/.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) 2))
(+.f64 (/.f64 (.f64 a1 a1) -2) (-.f64 (/.f64 (.f64 a1 a1) -2) (*.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (-.f64 (.f64 a1 (.f64 a1 -2)) (.f64 a2 a2)))
(+.f64 (-.f64 (/.f64 (.f64 a1 a1) -2) (.f64 a2 a2)) (/.f64 (*.f64 a1 a1) -2))
(+.f64 (neg.f64 (/.f64 (.f64 a2 a2) 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (/.f64 (*.f64 a2 a2) 2)))
(+.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (/.f64 (.f64 a2 a2) 2)) (neg.f64 (/.f64 (*.f64 a2 a2) 2)))
(+.f64 (/.f64 (neg.f64 (.f64 a2 a2)) 2) (/.f64 (-.f64 (.f64 a1 (.f64 a1 -2)) (.f64 a2 a2)) 2))
(+.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 -2)) (.f64 a2 a2)) 2) (/.f64 (neg.f64 (.f64 a2 a2)) 2))
(+.f64 (-.f64 -1 (.f64 a1 a1)) (-.f64 1 (.f64 a2 a2)))
(+.f64 (-.f64 1 (.f64 a2 a2)) (-.f64 -1 (.f64 a1 a1)))
(+.f64 (-.f64 -1 (.f64 a2 a2)) (-.f64 1 (.f64 a1 a1)))
(+.f64 (-.f64 1 (.f64 a1 a1)) (-.f64 -1 (.f64 a2 a2)))
(.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) 1)
(.f64 1 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)))
(.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -1)
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2) 1/2)
(.f64 1/2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2))
(.f64 1/2 (-.f64 (.f64 a1 (.f64 a1 -4)) (+.f64 (.f64 a1 (.f64 a1 -2)) (.f64 a2 (+.f64 a2 a2)))))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -4) 1/4)
(/.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -1)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -2) 2)
(/.f64 (.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) -2)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -4) 4)
(/.f64 (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -4) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -4)) 8)
(pow.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) 1)
(neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))

Outputs
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.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 (cos.f64 th) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.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 (cos.f64 th) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.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 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.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)))
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(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) -2) (sqrt.f64 2))) (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (-.f64 -1 (/.f64 (.f64 (sqrt.f64 2) -4) (.f64 2 (sqrt.f64 2)))) (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 1)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(neg.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (cos.f64 th) (/.f64 (-.f64 (.f64 a2 a2) (*.f64 a1 (neg.f64 a1))) (sqrt.f64 2)))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) 0)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(+.f64 0 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) 2))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) 4) (/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) 3) 4))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) 3) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))) 4)
(/.f64 (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (neg.f64 (cos.f64 th)) 3))) 4)
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2))) 3) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))) 4)
(+.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) 3) 4) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) 4))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) 3) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))) 4)
(/.f64 (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (neg.f64 (cos.f64 th)) 3))) 4)
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2))) 3) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))) 4)
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) 0)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(-.f64 0 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) -2))
(-.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2))) 2) (/.f64 (.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2))) -2))
(-.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) 3) 4) (/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1) 4))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) 3) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))) 4)
(/.f64 (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (neg.f64 (cos.f64 th)) 3))) 4)
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2))) 3) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))) 4)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) 1)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(/.f64 (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2)) 2)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1) -1)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(/.f64 (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -4)) 4)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(/.f64 (.f64 2 (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -4))) 8)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (cos.f64 th) 2)) -2)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (*.f64 (cos.f64 th) 2))) -4)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) -1)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) -2)
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (neg.f64 (cos.f64 th))) -1)
(neg.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (neg.f64 (cos.f64 th))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))) 1)
(/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -4) (.f64 2 (.f64 (cos.f64 th) 2))) 16)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 th) 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -4)) 16)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2) (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) 4)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) -2)) 4)
(/.f64 (.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2)) 4)
(/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2) (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) 4)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) -2)) 4)
(pow.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) 1)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(neg.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(neg.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)))
(neg.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (neg.f64 (cos.f64 th))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))) 1)
(+.f64 (.f64 a1 (neg.f64 a1)) (neg.f64 (.f64 a2 a2)))
(-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2))
(+.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) 0)
(+.f64 (.f64 a1 (neg.f64 a1)) (neg.f64 (.f64 a2 a2)))
(-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2))
(+.f64 0 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))
(+.f64 (.f64 a1 (neg.f64 a1)) (neg.f64 (.f64 a2 a2)))
(-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2))
(+.f64 (neg.f64 (.f64 a2 a2)) (.f64 a1 (neg.f64 a1)))
(+.f64 (.f64 a1 (neg.f64 a1)) (neg.f64 (.f64 a2 a2)))
(-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2))
(+.f64 (-.f64 (.f64 a1 (.f64 a1 -2)) (.f64 a2 a2)) (.f64 a1 a1))
(+.f64 (.f64 a1 a1) (-.f64 (.f64 -2 (.f64 a1 a1)) (.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (-.f64 (.f64 a1 (.f64 a1 -2)) (.f64 a2 a2)))
(+.f64 (/.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) 2) (/.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) 2))
(+.f64 (.f64 a1 (neg.f64 a1)) (neg.f64 (.f64 a2 a2)))
(-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2))
(+.f64 (/.f64 (.f64 a1 a1) -2) (-.f64 (/.f64 (.f64 a1 a1) -2) (*.f64 a2 a2)))
(+.f64 (.f64 (.f64 a1 a1) -1/2) (-.f64 (.f64 (.f64 a1 a1) -1/2) (*.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (-.f64 (.f64 a1 (.f64 a1 -2)) (.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (-.f64 (.f64 -2 (.f64 a1 a1)) (.f64 a2 a2)))
(+.f64 (-.f64 (/.f64 (.f64 a1 a1) -2) (.f64 a2 a2)) (/.f64 (*.f64 a1 a1) -2))
(+.f64 (/.f64 (.f64 a1 a1) -2) (-.f64 (/.f64 (.f64 a1 a1) -2) (*.f64 a2 a2)))
(+.f64 (.f64 (.f64 a1 a1) -1/2) (-.f64 (.f64 (.f64 a1 a1) -1/2) (*.f64 a2 a2)))
(+.f64 (neg.f64 (/.f64 (.f64 a2 a2) 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (/.f64 (*.f64 a2 a2) 2)))
(+.f64 (.f64 a1 (neg.f64 a1)) (neg.f64 (.f64 a2 a2)))
(-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2))
(+.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (/.f64 (.f64 a2 a2) 2)) (neg.f64 (/.f64 (*.f64 a2 a2) 2)))
(+.f64 (.f64 a1 (neg.f64 a1)) (neg.f64 (.f64 a2 a2)))
(-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2))
(+.f64 (/.f64 (neg.f64 (.f64 a2 a2)) 2) (/.f64 (-.f64 (.f64 a1 (.f64 a1 -2)) (.f64 a2 a2)) 2))
(+.f64 (.f64 a1 (neg.f64 a1)) (neg.f64 (.f64 a2 a2)))
(-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2))
(+.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 -2)) (.f64 a2 a2)) 2) (/.f64 (neg.f64 (.f64 a2 a2)) 2))
(+.f64 (.f64 a1 (neg.f64 a1)) (neg.f64 (.f64 a2 a2)))
(-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2))
(+.f64 (-.f64 -1 (.f64 a1 a1)) (-.f64 1 (.f64 a2 a2)))
(+.f64 (-.f64 1 (.f64 a2 a2)) (-.f64 -1 (.f64 a1 a1)))
(+.f64 (-.f64 -1 (.f64 a1 a1)) (-.f64 1 (.f64 a2 a2)))
(+.f64 (-.f64 -1 (.f64 a2 a2)) (-.f64 1 (.f64 a1 a1)))
(+.f64 (-.f64 1 (.f64 a1 a1)) (-.f64 -1 (.f64 a2 a2)))
(+.f64 (-.f64 -1 (.f64 a2 a2)) (-.f64 1 (.f64 a1 a1)))
(.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) 1)
(+.f64 (.f64 a1 (neg.f64 a1)) (neg.f64 (.f64 a2 a2)))
(-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2))
(.f64 1 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)))
(+.f64 (.f64 a1 (neg.f64 a1)) (neg.f64 (.f64 a2 a2)))
(-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2))
(.f64 -1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -1)
(neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2) 1/2)
(neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2))
(.f64 1/2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2))
(neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2))
(.f64 1/2 (-.f64 (.f64 a1 (.f64 a1 -4)) (+.f64 (.f64 a1 (.f64 a1 -2)) (.f64 a2 (+.f64 a2 a2)))))
(.f64 1/2 (-.f64 (.f64 a1 (.f64 a1 -4)) (+.f64 (.f64 -2 (.f64 a1 a1)) (.f64 a2 (+.f64 a2 a2)))))
(.f64 1/2 (+.f64 (.f64 a1 (-.f64 (.f64 a1 -4) (.f64 a1 -2))) (neg.f64 (*.f64 a2 (+.f64 a2 a2)))))
(.f64 1/2 (+.f64 (.f64 a1 (.f64 a1 -2)) (.f64 (*.f64 a2 a2) -2)))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -4) 1/4)
(neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2))
(/.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) 1)
(+.f64 (.f64 a1 (neg.f64 a1)) (neg.f64 (.f64 a2 a2)))
(-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -1)
(neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -2) 2)
(/.f64 (.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) -2)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 4) -4)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -4) 4)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -2) 2)
(/.f64 (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -4) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -4)) 8)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -2) 2)
(pow.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) 1)
(+.f64 (.f64 a1 (neg.f64 a1)) (neg.f64 (.f64 a2 a2)))
(-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2))
(neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2))

localize36.0ms (0.1%)

Local error

Found 4 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)) (/.f64 (/.f64 (cos.f64 th) 2) (/.f64 1 (sqrt.f64 2))))
✓	0.7b	(/.f64 (/.f64 (cos.f64 th) 2) (/.f64 1 (sqrt.f64 2)))
	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 59 to 32 computations (45.8% saved)

series26.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	th	@	0	(/.f64 (/.f64 (cos.f64 th) 2) (/.f64 1 (sqrt.f64 2)))
1.0ms	th	@	inf	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) 2) (/.f64 1 (sqrt.f64 2))))
1.0ms	th	@	-inf	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) 2) (/.f64 1 (sqrt.f64 2))))
1.0ms	th	@	0	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) 2) (/.f64 1 (sqrt.f64 2))))
1.0ms	th	@	inf	(/.f64 (/.f64 (cos.f64 th) 2) (/.f64 1 (sqrt.f64 2)))

rewrite542.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`rational_best-simplify-56`
918×	`rational_best-simplify-3`
716×	`rational_best-simplify-49`
700×	`rational_best-simplify-53`
554×	`rational_best-simplify-67`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	78
1	125	66
2	329	66
3	1212	66
4	6877	66

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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

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

simplify241.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1440×	`rational_best-simplify-55`
1114×	`rational_best-simplify-50`
1098×	`rational_best-simplify-1`
976×	`rational_best-simplify-53`
896×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	6125
1	721	5221
2	2440	4641

Stop Event

1×	node limit

Counts

133 → 145

Calls

Call 1

Inputs
(*.f64 1/2 (sqrt.f64 2))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (*.f64 1/2 (sqrt.f64 2)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (+.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 1/48 (*.f64 (sqrt.f64 2) (pow.f64 th 4)))))
(+.f64 (.f64 -1/1440 (.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (+.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 1/48 (*.f64 (sqrt.f64 2) (pow.f64 th 4))))))
(.f64 1/2 (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 1/2 (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 1/2 (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 1/2 (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 1/2 (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 1/2 (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 1/2 (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 1/2 (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
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(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
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(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
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(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
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(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
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(+.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) 3) (/.f64 4 (sqrt.f64 2))) 2) (/.f64 (cos.f64 th) (/.f64 8 (sqrt.f64 2))))
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(-.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) 0)
(-.f64 0 (/.f64 (neg.f64 (cos.f64 th)) (/.f64 2 (sqrt.f64 2))))
(-.f64 (/.f64 (cos.f64 th) (/.f64 1 (sqrt.f64 2))) (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))))
(-.f64 (/.f64 (cos.f64 th) (/.f64 4 (sqrt.f64 2))) (/.f64 (neg.f64 (cos.f64 th)) (/.f64 4 (sqrt.f64 2))))
(-.f64 (/.f64 (cos.f64 th) (/.f64 8 (sqrt.f64 2))) (/.f64 (*.f64 3 (/.f64 (cos.f64 th) -2)) (/.f64 4 (sqrt.f64 2))))
(-.f64 (/.f64 (cos.f64 th) (/.f64 8 (sqrt.f64 2))) (+.f64 (/.f64 (*.f64 3 (/.f64 (cos.f64 th) -2)) (/.f64 4 (sqrt.f64 2))) 0))
(-.f64 (+.f64 (/.f64 (cos.f64 th) (/.f64 4 (sqrt.f64 2))) (/.f64 (cos.f64 th) (/.f64 8 (sqrt.f64 2)))) (neg.f64 (/.f64 (cos.f64 th) (/.f64 8 (sqrt.f64 2)))))
(-.f64 (+.f64 (/.f64 (cos.f64 th) (/.f64 4 (sqrt.f64 2))) (/.f64 (cos.f64 th) (/.f64 8 (sqrt.f64 2)))) (+.f64 (neg.f64 (/.f64 (cos.f64 th) (/.f64 8 (sqrt.f64 2)))) 0))
(-.f64 (/.f64 (*.f64 -3 (/.f64 (cos.f64 th) -4)) (/.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) -4) (/.f64 2 (sqrt.f64 2))))
(-.f64 (/.f64 (*.f64 -3 (/.f64 (cos.f64 th) -4)) (/.f64 2 (sqrt.f64 2))) (+.f64 (/.f64 (/.f64 (cos.f64 th) -4) (/.f64 2 (sqrt.f64 2))) 0))
(-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) 3) (/.f64 4 (sqrt.f64 2))) 2) (/.f64 (/.f64 (neg.f64 (cos.f64 th)) (/.f64 4 (sqrt.f64 2))) 2))
(-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) 3) (/.f64 4 (sqrt.f64 2))) 2) (+.f64 (/.f64 (/.f64 (neg.f64 (cos.f64 th)) (/.f64 4 (sqrt.f64 2))) 2) 0))
(-.f64 (/.f64 (*.f64 -3/2 (neg.f64 (cos.f64 th))) (/.f64 4 (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) -2) (/.f64 4 (sqrt.f64 2))))
(-.f64 (/.f64 (*.f64 -3/2 (neg.f64 (cos.f64 th))) (/.f64 4 (sqrt.f64 2))) (+.f64 (/.f64 (/.f64 (cos.f64 th) -2) (/.f64 4 (sqrt.f64 2))) 0))
(-.f64 (/.f64 (*.f64 (cos.f64 th) 3) (/.f64 8 (sqrt.f64 2))) (/.f64 (neg.f64 (cos.f64 th)) (/.f64 8 (sqrt.f64 2))))
(-.f64 (/.f64 (*.f64 (cos.f64 th) 3) (/.f64 8 (sqrt.f64 2))) (+.f64 (/.f64 (neg.f64 (cos.f64 th)) (/.f64 8 (sqrt.f64 2))) 0))
(*.f64 (cos.f64 th) (/.f64 1/4 (/.f64 1/2 (sqrt.f64 2))))
(*.f64 2 (/.f64 (cos.f64 th) (/.f64 4 (sqrt.f64 2))))
(.f64 (.f64 (cos.f64 th) 1/2) (/.f64 2 (/.f64 2 (sqrt.f64 2))))
(*.f64 1 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (/.f64 4 (sqrt.f64 2))))
(*.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) 1)
(*.f64 (/.f64 (cos.f64 th) (/.f64 1 (sqrt.f64 2))) 1/2)
(*.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (/.f64 8 (sqrt.f64 2))))
(.f64 (.f64 (cos.f64 th) 2) (/.f64 2 (/.f64 8 (sqrt.f64 2))))
(.f64 (.f64 (cos.f64 th) 4) (/.f64 1 (/.f64 8 (sqrt.f64 2))))
(*.f64 (/.f64 (cos.f64 th) (/.f64 4 (sqrt.f64 2))) 2)
(*.f64 (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) 1/4)
(*.f64 -2 (/.f64 (neg.f64 (cos.f64 th)) (/.f64 4 (sqrt.f64 2))))
(*.f64 1/2 (/.f64 (cos.f64 th) (/.f64 1 (sqrt.f64 2))))
(*.f64 1/4 (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (/.f64 1/4 (/.f64 1/2 (sqrt.f64 2))) (cos.f64 th))
(.f64 (/.f64 2 (/.f64 2 (sqrt.f64 2))) (.f64 (cos.f64 th) 1/2))
(.f64 (/.f64 2 (/.f64 8 (sqrt.f64 2))) (.f64 (cos.f64 th) 2))
(.f64 (.f64 2 (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2)))) 1/8)
(.f64 (/.f64 (cos.f64 th) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (/.f64 1 (/.f64 2 (/.f64 1 (sqrt.f64 2)))))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 1 (sqrt.f64 2))) (/.f64 1/2 (sqrt.f64 2))) (/.f64 1 (/.f64 2 (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (/.f64 8 (sqrt.f64 2))) (/.f64 1 (/.f64 1/4 (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (/.f64 4 (sqrt.f64 2))) (/.f64 1 (/.f64 2 (/.f64 2 (sqrt.f64 2)))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (/.f64 1/4 (/.f64 1/2 (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (cos.f64 th) 2)) (/.f64 (/.f64 2 (/.f64 8 (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 1 (sqrt.f64 2)))) (/.f64 1/4 (/.f64 1/2 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (cos.f64 th) 1/2)) (/.f64 (/.f64 2 (/.f64 2 (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 2 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (/.f64 1/4 (/.f64 1/2 (sqrt.f64 2))) (/.f64 2 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 2 (sqrt.f64 2)) (*.f64 (cos.f64 th) 2)) (/.f64 (/.f64 2 (/.f64 8 (sqrt.f64 2))) (/.f64 2 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 2 (sqrt.f64 2)) (*.f64 (cos.f64 th) 1/2)) (/.f64 (/.f64 2 (/.f64 2 (sqrt.f64 2))) (/.f64 2 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))) (/.f64 2 (/.f64 2 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2)))) (/.f64 2 (/.f64 8 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))) (/.f64 1/4 (/.f64 1/2 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 1 (sqrt.f64 2)))) (/.f64 2 (/.f64 8 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2)))) (/.f64 1/4 (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 2 (/.f64 1 (sqrt.f64 2)))) -1) (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (/.f64 2 (sqrt.f64 2)))) -1) (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))))
(pow.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) 1)
(neg.f64 (/.f64 (neg.f64 (cos.f64 th)) (/.f64 2 (sqrt.f64 2))))
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2)))) 0)
(+.f64 0 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2)))))
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (sqrt.f64 2)))) (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (sqrt.f64 2)))))
(-.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2)))) 0)
(-.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (sqrt.f64 2)))) (/.f64 (neg.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))) 2))
(/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2)))) 1)
(/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1 (sqrt.f64 2)))) 2)
(/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2)))) 4)
(/.f64 (+.f64 (.f64 (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)) (/.f64 1/2 (sqrt.f64 2))))) 8)
(/.f64 (.f64 (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2)))) 16)
(/.f64 (.f64 (.f64 2 (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2)))) (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 th) 4)) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1 (sqrt.f64 2)))) 16)
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2)))) 4)
(/.f64 (.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 2 (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))))) 16)
(/.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1 (sqrt.f64 2))) (.f64 (cos.f64 th) 2)) 4)
(pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2)))) 1)

Outputs
(*.f64 1/2 (sqrt.f64 2))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (*.f64 1/2 (sqrt.f64 2)))
(+.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) -1/4)))
(+.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 -1/4 (pow.f64 th 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (+.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 1/48 (*.f64 (sqrt.f64 2) (pow.f64 th 4)))))
(+.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 th 4) 1/48)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) -1/4))))
(+.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (pow.f64 th 2))) (.f64 (sqrt.f64 2) (*.f64 1/48 (pow.f64 th 4)))))
(+.f64 (.f64 -1/1440 (.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (+.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 1/48 (*.f64 (sqrt.f64 2) (pow.f64 th 4))))))
(+.f64 (+.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 th 4)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (.f64 -1/1440 (*.f64 (sqrt.f64 2) (pow.f64 th 6)))))
(+.f64 (+.f64 (.f64 1/2 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 th 2) -1/4))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 th 4) 1/48)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 6) -1/1440))))
(+.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 2) (.f64 1/48 (pow.f64 th 4))) (+.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (pow.f64 th 2))) (.f64 (pow.f64 th 6) (*.f64 (sqrt.f64 2) -1/1440)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 1/2 (cos.f64 th)))
(.f64 1/2 (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 1/2 (cos.f64 th)))
(.f64 1/2 (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 1/2 (cos.f64 th)))
(.f64 1/2 (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 1/2 (cos.f64 th)))
(.f64 1/2 (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 1/2 (cos.f64 th)))
(.f64 1/2 (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 1/2 (cos.f64 th)))
(.f64 1/2 (.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 1/2 (cos.f64 th)))
(.f64 1/2 (.f64 (sqrt.f64 2) (cos.f64 th)))
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(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 4 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (/.f64 1 (sqrt.f64 2)) 1))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (.f64 (/.f64 2 (sqrt.f64 2)) (*.f64 (cos.f64 th) 1/2)) (/.f64 (/.f64 2 (/.f64 2 (sqrt.f64 2))) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 4 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (/.f64 1 (sqrt.f64 2)) 1))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))) (/.f64 2 (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 4 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (/.f64 1 (sqrt.f64 2)) 1))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2)))) (/.f64 2 (/.f64 8 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 4 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (/.f64 1 (sqrt.f64 2)) 1))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))) (/.f64 1/4 (/.f64 1/2 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 4 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (/.f64 1 (sqrt.f64 2)) 1))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 1 (sqrt.f64 2)))) (/.f64 2 (/.f64 8 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 4 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (/.f64 1 (sqrt.f64 2)) 1))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2)))) (/.f64 1/4 (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 4 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (/.f64 1 (sqrt.f64 2)) 1))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 2 (/.f64 1 (sqrt.f64 2)))) -1) (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) -1))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 2 (-.f64 1 (/.f64 0 (sqrt.f64 2)))) -1))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 2 (/.f64 (sqrt.f64 2) (sqrt.f64 2))) -1) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (/.f64 2 (sqrt.f64 2)))) -1) (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) -1))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 2 (-.f64 1 (/.f64 0 (sqrt.f64 2)))) -1))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 2 (/.f64 (sqrt.f64 2) (sqrt.f64 2))) -1) (/.f64 2 (sqrt.f64 2))))
(pow.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) 1)
(/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 th)) (/.f64 2 (sqrt.f64 2))))
(/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2)))) 0)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 0 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (sqrt.f64 2)))) (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (sqrt.f64 2)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(-.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2)))) 0)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(-.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (sqrt.f64 2)))) (/.f64 (neg.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))) 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2)))) 1)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1 (sqrt.f64 2)))) 2)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2)))) 4)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (.f64 (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)) (/.f64 1/2 (sqrt.f64 2))))) 8)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))) 16)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2)))) 16)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (.f64 2 (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2)))) (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) 16)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 th) 4)) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1 (sqrt.f64 2)))) 16)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2)))) 4)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 2 (/.f64 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))))) 16)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1 (sqrt.f64 2))) (.f64 (cos.f64 th) 2)) 4)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2)))) 1)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

localize108.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -4)
✓	0.4b	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2)))
✓	0.4b	(.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	1.0b	(/.f64 1/2 (sqrt.f64 2))

Compiler

Compiled 117 to 52 computations (55.6% saved)

series6.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	a1	@	0	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2)))
0.0ms	a1	@	0	(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -4)
0.0ms	a1	@	0	(.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
0.0ms	a1	@	inf	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2)))
0.0ms	a2	@	inf	(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -4)

rewrite265.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1398×	`rational_best-4`
1398×	`rational_best-2`
1398×	`rational_best-3`
1398×	`rational_best-1`
1398×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	110
1	114	110
2	254	110
3	806	110
4	3664	110

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8) 2) (/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 3)) -8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 3)) -8) 2) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -16) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 3)) -16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 3)) -16) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -16))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8) (/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 3)) -8) 2) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 3)) -16) (/.f64 (neg.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) -16))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)) -1/16)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/8 (.f64 2 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/16 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4))) -1/32)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (neg.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/32 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -1/4) 1)))))

simplify424.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

928×	`rational_best-simplify-1`
910×	`rational_best-simplify-67`
902×	`rational_best-simplify-55`
824×	`rational_best-simplify-64`
764×	`rational_best-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	7363
1	814	6559
2	2781	6283

Stop Event

1×	node limit

Counts

201 → 177

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a1 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a1 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a1 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 1/2 (/.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 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 1/2 (/.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 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 1/2 (/.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 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(+.f64 (/.f64 1/2 (sqrt.f64 2)) 0)
(+.f64 0 (/.f64 1/2 (sqrt.f64 2)))
(+.f64 (/.f64 1/4 (sqrt.f64 2)) (/.f64 1/4 (sqrt.f64 2)))
(-.f64 (/.f64 1/2 (sqrt.f64 2)) 0)
(-.f64 (/.f64 1/4 (sqrt.f64 2)) (/.f64 (neg.f64 (/.f64 1/2 (sqrt.f64 2))) 2))
(*.f64 1/2 (/.f64 1 (sqrt.f64 2)))
(*.f64 2 (/.f64 1/4 (sqrt.f64 2)))
(.f64 2 (.f64 1/2 (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (/.f64 1/2 (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 1/2 (sqrt.f64 2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) 1/2)
(*.f64 (/.f64 1/4 (sqrt.f64 2)) 2)
(.f64 4 (/.f64 1/2 (.f64 (sqrt.f64 2) 4)))
(.f64 4 (/.f64 1 (.f64 2 (*.f64 (sqrt.f64 2) 4))))
(*.f64 (/.f64 2 (sqrt.f64 2)) 1/4)
(*.f64 1/4 (/.f64 2 (sqrt.f64 2)))
(.f64 (.f64 1/2 (/.f64 1/2 (sqrt.f64 2))) 2)
(.f64 (/.f64 1/2 (.f64 (sqrt.f64 2) 4)) 4)
(.f64 (/.f64 1 (.f64 2 (*.f64 (sqrt.f64 2) 4))) 4)
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 1)
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 0)
(+.f64 0 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 2))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 3)) 4))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 3)) 4) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 4))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 0)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 2) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -2))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 3)) 4) (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 2)
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 4))) 8)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) 16)
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) (.f64 2 (sqrt.f64 2))) -2)
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)) -4)
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) (.f64 2 (*.f64 (sqrt.f64 2) 4))) -8)
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) -2)) -2)
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (sqrt.f64 2)) -1)
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2))) -1)
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (.f64 (sqrt.f64 2) 4))) -4)
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1)
(+.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 0)
(+.f64 0 (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(+.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (/.f64 (*.f64 a2 a2) 2) (sqrt.f64 2)))
(+.f64 (/.f64 (/.f64 (.f64 a2 a2) 2) (sqrt.f64 2)) (.f64 (/.f64 1/2 (sqrt.f64 2)) (*.f64 a1 a1)))
(+.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)))
(+.f64 (/.f64 (.f64 a1 a1) (.f64 (sqrt.f64 2) 4)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) (.f64 (sqrt.f64 2) 4)))
(+.f64 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 2) 4)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 2 (.f64 a1 a1))) (.f64 (sqrt.f64 2) 4)))
(+.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) (.f64 (sqrt.f64 2) 4)) (/.f64 (.f64 a1 a1) (.f64 (sqrt.f64 2) 4)))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 2 (.f64 a1 a1))) (.f64 (sqrt.f64 2) 4)) (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 2) 4)))
(-.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 0)
(-.f64 0 (neg.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(-.f64 0 (/.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) (*.f64 2 (sqrt.f64 2))))
(-.f64 0 (+.f64 (/.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) (*.f64 2 (sqrt.f64 2))) 0))
(-.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(-.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (sqrt.f64 2))) 0))
(-.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 2) -2)))
(-.f64 (/.f64 (/.f64 (.f64 a2 a2) 2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (*.f64 (sqrt.f64 2) -2)))
(-.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)) (/.f64 (neg.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 2))
(-.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)) (/.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)))
(-.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)) (neg.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4))))
(-.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 (neg.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 2) 0))
(-.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)) 0))
(-.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4))) 0))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 2 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1)
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 2)
(/.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 2) 4))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) -2))
(/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 4)
(/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) 4) (sqrt.f64 2)))
(/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (/.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (.f64 2 (sqrt.f64 2))))
(/.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 2 (.f64 (sqrt.f64 2) 4)))
(/.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (.f64 2 (sqrt.f64 2)) 4))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 2 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) (sqrt.f64 2))) 2) (/.f64 1 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2)) (/.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 4 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (.f64 2 (.f64 (sqrt.f64 2) 4))))
(/.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)))) 8)
(/.f64 (/.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 4) (.f64 4 (.f64 2 (.f64 (sqrt.f64 2) 4))))
(/.f64 (.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 2 (sqrt.f64 2))) 16)
(/.f64 (/.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 2 (sqrt.f64 2))) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) 1/2) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) 2) (neg.f64 (.f64 (sqrt.f64 2) 4)))
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2))) -1)
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (/.f64 1 (sqrt.f64 2))) -2)
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (/.f64 1/4 (sqrt.f64 2))) -1/2)
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) 4) (neg.f64 (.f64 2 (*.f64 (sqrt.f64 2) 4))))
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))) -4)
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) 8) (neg.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (.f64 2 (*.f64 (sqrt.f64 2) 4)))))
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2)))) -8)
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (/.f64 1/2 (sqrt.f64 2)))) -1)
(pow.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1)
(neg.f64 (neg.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4) 0)
(+.f64 0 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8))
(+.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8) 2) (/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 3)) -8) 2))
(+.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 3)) -8) 2) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -8) 2))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -16) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 3)) -16))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 3)) -16) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -16))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4) 0)
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 8))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -2) -4))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8) (/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -1/4)) 2))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 3)) -8) 2) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 8) 2))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 3)) -16) (/.f64 (neg.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) -16))
(.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -2))
(.f64 2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4)
(.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -1/4) 1)
(.f64 1 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -1/4))
(.f64 (.f64 2 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) -1/8)
(.f64 (neg.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 1/4)
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 4)) -1/16)
(.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 8))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 -1/8 (.f64 2 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(.f64 -1/16 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 4)))
(.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4))) -1/32)
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -2) 1/2)
(.f64 1/4 (neg.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 -1/32 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4))))
(pow.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4) 1)

Outputs
(*.f64 (sqrt.f64 2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a1 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a1 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a1 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
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(/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) 4) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 2)) (/.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (sqrt.f64 2)))
(/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) 4) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 4 (sqrt.f64 2)))
(/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) 4) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) 4) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (sqrt.f64 2)))
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(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.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)))) 8)
(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (/.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) 4) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 4) (.f64 4 (.f64 2 (.f64 (sqrt.f64 2) 4))))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 2 (sqrt.f64 2))) 16)
(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (/.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 2 (sqrt.f64 2))) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) 4) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 4 (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) 1/2) (neg.f64 (sqrt.f64 2)))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) 2) (neg.f64 (.f64 (sqrt.f64 2) 4)))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2))) -1)
(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (/.f64 1 (sqrt.f64 2))) -2)
(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (/.f64 1/4 (sqrt.f64 2))) -1/2)
(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) 4) (neg.f64 (.f64 2 (*.f64 (sqrt.f64 2) 4))))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))) -4)
(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) 8) (neg.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (.f64 2 (*.f64 (sqrt.f64 2) 4)))))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2)))) -8)
(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (/.f64 1/2 (sqrt.f64 2)))) -1)
(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1)
(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(neg.f64 (neg.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4) 0)
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 0 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8) 2) (/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 3)) -8) 2))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 3)) -8) 2) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -8) 2))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -16) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 3)) -16))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 3)) -16) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -16))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(-.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4) 0)
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 8))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -2) -4))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8) (/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -1/4)) 2))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 3)) -8) 2) (/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 8) 2))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 3)) -16) (/.f64 (neg.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) -16))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -2))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -8))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4)
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -1/4) 1)
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 1 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -1/4))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (.f64 2 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) -1/8)
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (neg.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 1/4)
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 4)) -1/16)
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 -2 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 8))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 -1/8 (.f64 2 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 -1/16 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 4)))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4))) -1/32)
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -2) 1/2)
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 1/4 (neg.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 -1/32 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(pow.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -1/4) 1)
(.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))

eval2.2s (4.8%)

Compiler: Compiled 27186 to 15547 computations (42.8% saved)

prune1.8s (3.8%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	1106	16	1122
Fresh	5	1	6
Picked	0	1	1
Done	2	4	6
Total	1113	22	1135

Error

Counts

1135 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	39.6b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
▶	39.7b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	25.5b	(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 4)) 1/4)
	25.5b	(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 2 (sqrt.f64 2))) 1/2)
▶	25.5b	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
✓	0.4b	(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
	0.5b	(/.f64 (.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2))) (/.f64 -2 (sqrt.f64 2)))
▶	25.5b	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
	0.5b	(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	39.6b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
	39.7b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a1 2))
▶	25.5b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) (*.f64 a2 a2)))
	25.6b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a2 (+.f64 a2 a2)) (/.f64 (.f64 a2 a2) 2)) (+.f64 (-.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) 2)) (*.f64 a2 a2))))
	25.6b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 a2 a2) 3) (+.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 a2 a2))))
	25.6b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a2 (.f64 a2 3)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (*.f64 a1 a1))))
✓	25.5b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	25.5b	(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
▶	0.5b	(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	0.5b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
✓	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
✓	0.7b	(.f64 (cos.f64 th) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -4)))

Compiler

Compiled 690 to 491 computations (28.8% saved)

localize33.0ms (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 (/.f64 1 (sqrt.f64 2)) (cos.f64 th))
✓	0.4b	(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 51 to 26 computations (49% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite512.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`rational_best-2`
1240×	`rational_best-3`
1240×	`rational_best-1`
1226×	`rational_best-4`
1226×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	66
1	107	54
2	221	54
3	735	54
4	3051	54

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify303.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1128×	`rational_best-simplify-49`
1100×	`rational_best-simplify-53`
1096×	`rational_best-simplify-1`
994×	`rational_best-simplify-47`
734×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	237	4170
1	846	3924
2	4600	3898

Stop Event

1×	node limit

Counts

128 → 119

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 (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 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 0)
(+.f64 0 (.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 2 (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 0)
(-.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 2 (sqrt.f64 2))) (/.f64 (neg.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))) 2))
(/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 1)
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 2)
(/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 2 (sqrt.f64 2))) 1/2)
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) 4)
(/.f64 (/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 4) 1/4)
(/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 2) (/.f64 (sqrt.f64 2) 2))
(/.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4))) 8)
(/.f64 (.f64 4 (.f64 2 (.f64 (cos.f64 th) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))) (.f64 4 (.f64 (sqrt.f64 2) 4)))
(/.f64 (.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (cos.f64 th) (/.f64 4 (sqrt.f64 2)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (cos.f64 th))) (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) 1/4)) 16)
(/.f64 (.f64 (/.f64 4 (sqrt.f64 2)) (.f64 2 (.f64 (cos.f64 th) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))) 16)
(/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 1/2) (.f64 2 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 4 (.f64 2 (.f64 (cos.f64 th) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))) (*.f64 (sqrt.f64 2) 4)) 4)
(pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))) 1)
(+.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)
(+.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2)))
(+.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (.f64 2 (sqrt.f64 2))) (/.f64 (cos.f64 th) (.f64 2 (sqrt.f64 2))))
(+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (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 0 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(-.f64 (/.f64 (cos.f64 th) (.f64 2 (sqrt.f64 2))) (neg.f64 (/.f64 (cos.f64 th) (.f64 2 (sqrt.f64 2)))))
(-.f64 (/.f64 (cos.f64 th) (.f64 2 (sqrt.f64 2))) (/.f64 (neg.f64 (cos.f64 th)) (.f64 2 (sqrt.f64 2))))
(-.f64 (/.f64 (cos.f64 th) (*.f64 2 (sqrt.f64 2))) (/.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2))
(-.f64 (/.f64 0 (sqrt.f64 2)) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) (sqrt.f64 2)))
(/.f64 (/.f64 (cos.f64 th) (*.f64 2 (sqrt.f64 2))) 1/2)
(/.f64 (.f64 2 (cos.f64 th)) (.f64 2 (sqrt.f64 2)))
(/.f64 (*.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)
(/.f64 (*.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) 2)))
(/.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) 4)) 1/4)
(/.f64 (/.f64 (cos.f64 th) 2) (/.f64 (sqrt.f64 2) 2))
(/.f64 (.f64 2 (.f64 2 (cos.f64 th))) (*.f64 (sqrt.f64 2) 4))
(/.f64 (*.f64 (cos.f64 th) (/.f64 4 (sqrt.f64 2))) 4)
(/.f64 (.f64 (cos.f64 th) (/.f64 4 (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) 4) (sqrt.f64 2)))
(/.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) (*.f64 2 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (/.f64 4 (sqrt.f64 2))) (.f64 (cos.f64 th) (/.f64 4 (sqrt.f64 2)))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 2 (cos.f64 th))) (.f64 2 (.f64 2 (cos.f64 th)))) (.f64 2 (.f64 (sqrt.f64 2) 4)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (cos.f64 th)))) (.f64 2 (*.f64 (sqrt.f64 2) 4)))
(/.f64 (.f64 2 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) (.f64 (sqrt.f64 2) 4))
(/.f64 (.f64 4 (.f64 2 (.f64 2 (cos.f64 th)))) (.f64 4 (*.f64 (sqrt.f64 2) 4)))
(/.f64 (.f64 (.f64 2 (*.f64 2 (cos.f64 th))) (/.f64 4 (sqrt.f64 2))) 16)
(/.f64 (*.f64 (/.f64 2 (sqrt.f64 2)) (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) 4)
(/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2))) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) 2)) (/.f64 2 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (/.f64 4 (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 4 (sqrt.f64 2)))
(/.f64 (/.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) 1/2) (*.f64 (sqrt.f64 2) 4))
(/.f64 (/.f64 (cos.f64 th) 1/2) (*.f64 2 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 2 (cos.f64 th)) -2) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 2 (cos.f64 th)) 1/2) (.f64 (sqrt.f64 2) 4))
(/.f64 (/.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) -2) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 2 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) 2) (.f64 2 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 2 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) (sqrt.f64 2)) 4)
(/.f64 (/.f64 (.f64 2 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) (.f64 2 (sqrt.f64 2))) 2)
(/.f64 (/.f64 (.f64 4 (.f64 2 (.f64 2 (cos.f64 th)))) (.f64 (sqrt.f64 2) 4)) 4)
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (sqrt.f64 2)) 4) (/.f64 1 (*.f64 (sqrt.f64 2) 4)))
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 1/2 (sqrt.f64 2))) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 1 (*.f64 (sqrt.f64 2) 4))) 4)
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (sqrt.f64 2)) 8) (/.f64 1/2 (*.f64 (sqrt.f64 2) 4)))
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 4 (sqrt.f64 2))) 1/4)
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) 2)) 2) (/.f64 1 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) 2)) (/.f64 1 (sqrt.f64 2))) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) 2)) 4) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (sqrt.f64 2))) 4)
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) 2)) (/.f64 1 (*.f64 (sqrt.f64 2) 4))) 8)
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) 2)) 8) (/.f64 1 (*.f64 (sqrt.f64 2) 4)))
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) 2)) (/.f64 4 (sqrt.f64 2))) 1/2)
(/.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (/.f64 4 (sqrt.f64 2))) (sqrt.f64 2)) 2) (/.f64 2 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (/.f64 4 (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)

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

localize35.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
	0.3b	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))

Compiler

Compiled 31 to 12 computations (61.3% saved)

localize73.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 65 to 32 computations (50.8% saved)

series11.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite522.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1850×	`rational_best-1`
1848×	`rational_best-2`
1848×	`rational_best-3`
1846×	`rational_best-4`
386×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	103
1	108	97
2	234	69
3	884	61
4	5226	61

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

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

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

simplify569.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1088×	`rational_best-simplify-48`
1076×	`rational_best-simplify-52`
1036×	`rational_best-simplify-57`
792×	`rational_best-simplify-3`
712×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	338	7175
1	944	6245
2	3772	6017

Stop Event

1×	node limit

Counts

219 → 226

Calls

Call 1

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

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

localize14.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

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))

rewrite251.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`rational_best-simplify-55`
770×	`rational_best-simplify-64`
636×	`rational_best-4`
636×	`rational_best-2`
636×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	53	17
2	117	17
3	335	17
4	1541	17

Stop Event

1×	node limit

Counts

1 → 112

Calls

Call 1

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

Outputs

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simplify314.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

970×	`rational_best-simplify-1`
964×	`rational_best-simplify-64`
760×	`rational_best-simplify-63`
746×	`rational_best-simplify-54`
598×	`rational_best-simplify-65`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	2696
1	729	2578
2	2223	2418

Stop Event

1×	node limit

Counts

112 → 133

Calls

Call 1

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

localize72.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
	0.2b	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
✓	0.3b	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	0.4b	(/.f64 a2 (sqrt.f64 2))

Compiler

Compiled 40 to 25 computations (37.5% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite327.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`rational_best-4`
1510×	`rational_best-2`
1510×	`rational_best-3`
1510×	`rational_best-1`
1510×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	84	56
2	201	56
3	721	56
4	3847	56

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs

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

simplify562.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1120×	`rational_best-simplify-1`
938×	`rational_best-simplify-67`
758×	`rational_best-simplify-54`
708×	`rational_best-simplify-63`
664×	`rational_best-simplify-64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	290	5025
1	805	4865
2	2683	4655

Stop Event

1×	node limit

Counts

177 → 167

Calls

Call 1

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

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

eval2.4s (5.1%)

Compiler: Compiled 23170 to 14218 computations (38.6% saved)

prune1.7s (3.6%)

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	1109	10	1119
Fresh	3	9	12
Picked	0	1	1
Done	3	6	9
Total	1115	26	1141

Error

Counts

1141 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	39.6b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
✓	39.7b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	25.5b	(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 2 (sqrt.f64 2))) 1/2)
	25.8b	(/.f64 (-.f64 (-.f64 (.f64 a1 (.f64 a1 2)) (.f64 (.f64 a2 a2) -4)) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 2))))) (sqrt.f64 2))
	25.5b	(/.f64 (-.f64 (-.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) (.f64 a2 a2)) (sqrt.f64 2))
	25.5b	(/.f64 (-.f64 (+.f64 (.f64 a2 (+.f64 a2 a2)) (/.f64 (.f64 a2 a2) 2)) (+.f64 (-.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) 2)) (.f64 a2 a2))) (sqrt.f64 2))
	25.5b	(/.f64 (-.f64 (.f64 (.f64 a2 a2) 3) (+.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 a2 a2))) (sqrt.f64 2))
▶	25.6b	(/.f64 (-.f64 (.f64 a2 (.f64 a2 3)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (sqrt.f64 2))
	34.8b	(/.f64 (+.f64 (+.f64 (.f64 a2 a2) 1) (+.f64 -1 (.f64 a1 a1))) (sqrt.f64 2))
✓	25.5b	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
	0.5b	(/.f64 (.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2))) (/.f64 -2 (sqrt.f64 2)))
▶	0.4b	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))
	25.8b	(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -4))
✓	25.5b	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
	39.7b	(*.f64 (pow.f64 a1 2) (/.f64 1 (sqrt.f64 2)))
	0.5b	(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	39.6b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
▶	25.6b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a2 a2)))) (*.f64 a2 a2)))
	25.6b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 a2 a2) 3) (+.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 a2 a2))))
	25.6b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a2 (.f64 a2 3)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (*.f64 a1 a1))))
✓	25.5b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	25.5b	(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
✓	0.5b	(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	0.5b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
✓	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))

Compiler

Compiled 873 to 591 computations (32.3% saved)

localize66.0ms (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 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	0.4b	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))

Compiler

Compiled 47 to 14 computations (70.2% saved)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite551.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`rational_best-4`
1318×	`rational_best-2`
1318×	`rational_best-3`
1318×	`rational_best-1`
1316×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	95	68
2	216	68
3	709	68
4	3109	68

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify935.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1134×	`rational_best-simplify-65`
968×	`rational_best-simplify-3`
716×	`rational_best-simplify-67`
706×	`rational_best-simplify-1`
664×	`rational_best-simplify-108`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	204	5495
1	535	5453
2	1672	5453
3	7486	5453

Stop Event

1×	node limit

Counts

143 → 114

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 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))) (.f64 -1/720 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))))))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (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)))
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(+.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)))
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(+.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 2) 4)) (/.f64 (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 3) (*.f64 (sqrt.f64 2) 4)))
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(-.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 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 2) 2)) (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (sqrt.f64 2) 2))))
(-.f64 0 (neg.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))) (.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 2) -2)))
(-.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 2 (sqrt.f64 2))) (/.f64 (neg.f64 (/.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))) (.f64 2 (sqrt.f64 2))) (+.f64 (/.f64 (neg.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))) 2) 0))
(-.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 2) 2)) (/.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))) (.f64 -2 (/.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))) (.f64 (sqrt.f64 2) -2)) (-.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 (sqrt.f64 2) 2))))
(-.f64 (/.f64 (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 3) (.f64 (sqrt.f64 2) 4)) (/.f64 (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (*.f64 (sqrt.f64 2) 4)))
(-.f64 (/.f64 (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 3) (.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (*.f64 (sqrt.f64 2) 4)) 0))
(-.f64 (/.f64 (neg.f64 (/.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))) (.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 2) 2))))
(-.f64 (/.f64 (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (sqrt.f64 2) 4)) (-.f64 (/.f64 (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 3) (.f64 (sqrt.f64 2) 4)) (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 2) 2))))
(.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (sqrt.f64 2)))
(.f64 2 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 2 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 (sqrt.f64 2) (sqrt.f64 2))))
(.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 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (cos.f64 th) 2)) (/.f64 1/2 (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 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (/.f64 1 (.f64 (sqrt.f64 2) 4)))
(.f64 -2 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 (sqrt.f64 2) -2)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 2) 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (/.f64 (.f64 (cos.f64 th) (+.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 (cos.f64 th) 2)))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (sqrt.f64 2) 2))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4))
(.f64 (/.f64 (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 4) (sqrt.f64 2)) 1/4)
(.f64 (.f64 2 (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4)) (/.f64 1/2 (*.f64 (sqrt.f64 2) 4)))
(.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 (sqrt.f64 2) (sqrt.f64 2))) (sqrt.f64 2))
(.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) 2)) (/.f64 1 (/.f64 2 (sqrt.f64 2))))
(.f64 1/4 (/.f64 (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 4) (sqrt.f64 2)))
(.f64 (/.f64 1/2 (.f64 (sqrt.f64 2) 4)) (.f64 2 (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 4)))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 (sqrt.f64 2) (sqrt.f64 2))))
(.f64 (/.f64 1 (/.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) 2)))
(.f64 (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (cos.f64 th) 2))) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (sqrt.f64 2) 2))) (/.f64 1/2 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4)) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)) (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (cos.f64 th) 2))))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 4)))
(.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 2 (sqrt.f64 2))) -1) (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)))
(pow.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2)) 1)
(neg.f64 (neg.f64 (/.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))) 0)
(+.f64 0 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 2) (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) (/.f64 (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 3) 4))
(+.f64 (/.f64 (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 3) 4) (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 4))
(-.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 0)
(-.f64 0 (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(-.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 2) (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -2))
(-.f64 (/.f64 (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 3) 4) (/.f64 (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) 4))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1)
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (cos.f64 th) 2)) 2)
(/.f64 (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) -1)
(/.f64 (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 4)) 8)
(/.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)) (.f64 2 (*.f64 (cos.f64 th) 2))) 16)
(pow.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1)
(neg.f64 (neg.f64 (.f64 (cos.f64 th) (+.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 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (/.f64 -1/2 (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 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (+.f64 (.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (/.f64 -1/2 (sqrt.f64 2))) (.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (/.f64 1/24 (sqrt.f64 2)))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (/.f64 -1/2 (sqrt.f64 2))) (+.f64 (.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (/.f64 1/24 (sqrt.f64 2))) (/.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 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2)))))
(+.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (/.f64 -1/2 (sqrt.f64 2))) (.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (/.f64 1/24 (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)) (pow.f64 th 6)) (/.f64 -1/720 (sqrt.f64 2))))
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(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) 4)
(/.f64 (.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)) (.f64 2 (*.f64 (cos.f64 th) 2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 2 (*.f64 2 (cos.f64 th)))) 16)
(/.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (*.f64 (cos.f64 th) 4)) 16)
(/.f64 (.f64 (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 4 (cos.f64 th))) 16)
(pow.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1)
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(neg.f64 (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

localize41.0ms (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)) (.f64 1/2 (sqrt.f64 2)))

Compiler

Compiled 38 to 19 computations (50% saved)

series14.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	a2	@	inf	(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
0.0ms	a1	@	0	(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
0.0ms	a2	@	0	(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
0.0ms	a1	@	inf	(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
0.0ms	a2	@	-inf	(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))

rewrite199.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`rational_best-simplify-47`
770×	`rational_best-simplify-63`
712×	`rational_best-simplify-48`
708×	`rational_best-simplify-52`
676×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	89	35
2	182	35
3	514	35
4	1843	35

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 1/2 (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.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 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) 4) (/.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) 8) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) 8) (/.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) 8) (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 (sqrt.f64 2) 3/2)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) 8) (/.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 (sqrt.f64 2) 3/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 1/2 (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) 4) (/.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 1/2 (sqrt.f64 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) 4) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 1/2 (sqrt.f64 2))) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 1/2 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 (sqrt.f64 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 2 (sqrt.f64 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 4) (*.f64 (sqrt.f64 2) 4)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 4) (*.f64 (sqrt.f64 2) 4)) 2) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a2 a2)) (sqrt.f64 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a2 a2)) (*.f64 1/2 (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a2 a2)) (*.f64 2 (sqrt.f64 2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 2) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 1/2 (sqrt.f64 2))) 1)))))

simplify320.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1480×	`rational_best-simplify-57`
1064×	`rational_best-simplify-1`
862×	`rational_best-simplify-75`
798×	`rational_best-simplify-76`
694×	`rational_best-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	1826
1	194	1538
2	478	1538
3	1135	1538
4	3892	1538

Stop Event

1×	node limit

Counts

46 → 32

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2))) 0)
(+.f64 0 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 4) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 4))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 8) (+.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 8) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) 4)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 8) (/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 3/2)) 2) 2))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 8) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 3/2)) 4))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2))) 0)
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 4) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 1/2 (sqrt.f64 2))) -2))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 4) (+.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 1/2 (sqrt.f64 2))) -2) 0))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2))) 1)
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) 2)
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)) 8)
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 2 (sqrt.f64 2))) 4)
(/.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (*.f64 (sqrt.f64 2) 4)) 32)
(/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 4)) 16)
(/.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (*.f64 (sqrt.f64 2) 4)) 2) 16)
(/.f64 (.f64 (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)) (sqrt.f64 2)) -2)
(/.f64 (.f64 (-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2))) -1)
(/.f64 (.f64 (-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2)) (.f64 2 (sqrt.f64 2))) -4)
(/.f64 (.f64 (-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)) -8)
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) -2)) -1)
(pow.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2))) 1)

Outputs
(.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 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 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 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 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 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 a1 2))))
(.f64 (.f64 1/2 (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2))) 0)
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(+.f64 0 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 4) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 4))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 8) (+.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 8) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) 4)))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 8) (/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 3/2)) 2) 2))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 8) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 3/2)) 4))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2))) 0)
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 4) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 1/2 (sqrt.f64 2))) -2))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 4) (+.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 1/2 (sqrt.f64 2))) -2) 0))
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2))) 1)
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.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)) 2)
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)) 8)
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 2 (sqrt.f64 2))) 4)
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (*.f64 (sqrt.f64 2) 4)) 32)
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 4)) 16)
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (*.f64 (sqrt.f64 2) 4)) 2) 16)
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2)) (sqrt.f64 2)) -2)
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2))) -1)
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2)) (.f64 2 (sqrt.f64 2))) -4)
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2)) (.f64 (sqrt.f64 2) 4)) -8)
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) -2)) -1)
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
(pow.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2))) 1)
(.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))

localize86.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))
✓	0.2b	(.f64 a2 (.f64 a2 3))
✓	0.3b	(/.f64 (-.f64 (.f64 a2 (.f64 a2 3)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (sqrt.f64 2))
✓	0.5b	(-.f64 (.f64 a2 (.f64 a2 3)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)))

Compiler

Compiled 70 to 27 computations (61.4% saved)

series15.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
10.0ms	a1	@	0	(-.f64 (.f64 a2 (.f64 a2 3)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)))
1.0ms	a1	@	inf	(/.f64 (-.f64 (.f64 a2 (.f64 a2 3)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (sqrt.f64 2))
1.0ms	a1	@	0	(/.f64 (-.f64 (.f64 a2 (.f64 a2 3)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (sqrt.f64 2))
0.0ms	a2	@	inf	(.f64 a2 (.f64 a2 3))
0.0ms	a2	@	0	(-.f64 (.f64 a2 (.f64 a2 3)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)))

rewrite671.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`rational_best-simplify-62`
862×	`rational_best-simplify-1`
462×	`rational_best-simplify-67`
444×	`rational_best-simplify-65`
404×	`rational_best-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	134
1	112	122
2	264	122
3	988	86
4	6336	86

Stop Event

1×	node limit

Counts

4 → 194

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a2 (.f64 a2 3)) (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 0 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a2 a2) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) (.f64 a2 (.f64 a2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 a1 a1)) (.f64 (.f64 a2 a2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a2 a2) -2) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 a1 a1)))))) (#(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)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 a2 (.f64 a2 3)) 2) (+.f64 (/.f64 (.f64 a2 (.f64 a2 3)) 2) (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 a2 (.f64 a2 3)) 2) (-.f64 (/.f64 (.f64 a2 (.f64 a2 3)) 2) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 a1 a1) 2) (+.f64 (/.f64 (.f64 a1 a1) 2) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 a1 a1) 2) (-.f64 (/.f64 (.f64 a1 a1) 2) (neg.f64 (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a2 (.f64 a2 3)) (neg.f64 (.f64 a1 a1))) (.f64 (.f64 a2 a2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 a2 a2) 2) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 a1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) 2) (/.f64 (-.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a2 (.f64 a2 6)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (neg.f64 (.f64 a2 (.f64 a2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a2 (.f64 a2 3)) (-.f64 (.f64 a2 a2) (/.f64 (.f64 a1 a1) 2))) (neg.f64 (-.f64 (.f64 a2 a2) (/.f64 (.f64 a1 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (-.f64 -1 (.f64 a1 a1)) (.f64 a2 (+.f64 a2 a2)))) (neg.f64 (-.f64 1 (.f64 a2 (.f64 a2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 -1 (.f64 a2 (.f64 a2 3)))) (neg.f64 (+.f64 (-.f64 1 (.f64 a1 a1)) (.f64 a2 (+.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a1 (+.f64 a1 a1)) (neg.f64 (.f64 a2 a2))) (neg.f64 (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (/.f64 (.f64 3 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (.f64 a1 a1) 2) (neg.f64 (.f64 a2 (.f64 a2 3)))) (-.f64 (/.f64 (.f64 a1 a1) 2) (.f64 a2 (+.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (.f64 a2 (.f64 a2 3)) 2) (.f64 a2 (+.f64 a2 a2))) (-.f64 (/.f64 (.f64 a2 (.f64 a2 3)) 2) (neg.f64 (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (.f64 a1 a1) 2) (.f64 a2 (+.f64 a2 a2))) (-.f64 (/.f64 (.f64 a1 a1) 2) (neg.f64 (.f64 a2 (.f64 a2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (.f64 a2 (.f64 a2 3)) 2) (neg.f64 (.f64 a1 a1))) (-.f64 (/.f64 (.f64 a2 (.f64 a2 3)) 2) (.f64 a2 (+.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (.f64 a2 (.f64 a2 3)) 2) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (/.f64 (.f64 a2 (.f64 a2 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (.f64 a1 a1) 2) (neg.f64 (.f64 a2 a2))) (/.f64 (.f64 a1 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (.f64 a2 a2))) (-.f64 1 (neg.f64 (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 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(.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (sqrt.f64 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) (/.f64 1 (.f64 2 (.f64 (sqrt.f64 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) (-.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (/.f64 1 (.f64 2 (.f64 (sqrt.f64 2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 1 (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 1 (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 2 (.f64 (sqrt.f64 2) 4))) (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (.f64 (sqrt.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 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 2) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 2) (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)))) (/.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) (/.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sqrt.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 1/2 (sqrt.f64 2)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 2 (sqrt.f64 2))) -1) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a2 (.f64 a2 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a2 (.f64 a2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 a2 (.f64 a2 3)) 2) (/.f64 (.f64 a2 (.f64 a2 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a2 (.f64 a2 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 a2 (.f64 a2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 a2 (.f64 a2 3)) 2) (/.f64 (neg.f64 (.f64 a2 (.f64 a2 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a2 (.f64 a2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 a2 (.f64 a2 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a2 (.f64 a2 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a2 (.f64 (+.f64 a2 a2) 6)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a2 (.f64 a2 -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 a2 (.f64 (+.f64 a2 a2) 6)) (.f64 a2 (.f64 (+.f64 a2 a2) 6))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a2 4) (.f64 (+.f64 a2 a2) 6)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a2 (.f64 a2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 a2 (*.f64 a2 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a2 a2) (+.f64 (.f64 a2 a2) (neg.f64 (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 (+.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a2 a2) (/.f64 (.f64 a1 a1) 2)) (-.f64 (.f64 a2 a2) (/.f64 (.f64 a1 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (.f64 a2 a2) 4) (.f64 a1 a1)) (.f64 (.f64 a2 a2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a2 (+.f64 a2 a2)) (/.f64 (.f64 a1 a1) 2)) (neg.f64 (/.f64 (.f64 a1 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (.f64 a1 a1)) 2) (/.f64 (+.f64 (neg.f64 (.f64 a1 a1)) (.f64 (.f64 a2 a2) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (.f64 a2 a2) (.f64 a1 (/.f64 a1 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 (+.f64 a2 a2) (.f64 a2 4)) (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 (.f64 a2 a2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 (+.f64 a2 a2) (.f64 a2 4)) (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 a1 (+.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2))) (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) -2)))))))

simplify868.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1630×	`rational_best-simplify-57`
1012×	`rational_best-simplify-52`
972×	`rational_best-simplify-1`
958×	`rational_best-simplify-48`
942×	`rational_best-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	450	10954
1	1197	9652
2	3936	9096

Stop Event

1×	node limit

Counts

278 → 337

Calls

Call 1

Inputs
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(-.f64 (.f64 3 (pow.f64 a2 2)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 3 (pow.f64 a2 2))) (.f64 2 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 3 (pow.f64 a2 2))) (.f64 2 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 3 (pow.f64 a2 2))) (.f64 2 (pow.f64 a2 2)))
(pow.f64 a1 2)
(-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(pow.f64 a1 2)
(-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 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 3 (pow.f64 a2 2)) (.f64 2 (pow.f64 a2 2))) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 -1 (pow.f64 a1 2))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(*.f64 2 (pow.f64 a2 2))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(*.f64 2 (pow.f64 a2 2))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(*.f64 2 (pow.f64 a2 2))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(*.f64 -1 (pow.f64 a1 2))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(*.f64 -1 (pow.f64 a1 2))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 a2 (.f64 a2 3)) (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) -2)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
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(.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (*.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 1 (/.f64 2 (sqrt.f64 2))))
(.f64 -2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) -2)))
(.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (sqrt.f64 2)))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) (sqrt.f64 2))))
(.f64 (/.f64 1 (.f64 2 (.f64 (sqrt.f64 2) 4))) (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 4)))
(.f64 (/.f64 1 (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (*.f64 (sqrt.f64 2) (sqrt.f64 2))))
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2)) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))) (/.f64 1/2 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) (/.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2)))
(.f64 (/.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)))
(.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 2 (sqrt.f64 2))) -1) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)))
(pow.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 1)
(neg.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))
(+.f64 (.f64 a2 (.f64 a2 3)) 0)
(+.f64 0 (.f64 a2 (.f64 a2 3)))
(+.f64 (/.f64 (.f64 a2 (.f64 a2 3)) 2) (/.f64 (.f64 a2 (.f64 a2 3)) 2))
(-.f64 (.f64 a2 (.f64 a2 3)) 0)
(-.f64 0 (neg.f64 (.f64 a2 (.f64 a2 3))))
(-.f64 (/.f64 (.f64 a2 (.f64 a2 3)) 2) (/.f64 (neg.f64 (.f64 a2 (.f64 a2 3))) 2))
(/.f64 (.f64 a2 (.f64 a2 3)) 1)
(/.f64 (neg.f64 (.f64 a2 (.f64 a2 3))) -1)
(/.f64 (.f64 a2 (.f64 a2 6)) 2)
(/.f64 (.f64 a2 (.f64 (+.f64 a2 a2) 6)) 4)
(/.f64 (.f64 a2 (.f64 a2 -3)) -1)
(/.f64 (+.f64 (.f64 a2 (.f64 (+.f64 a2 a2) 6)) (.f64 a2 (.f64 (+.f64 a2 a2) 6))) 8)
(/.f64 (.f64 (.f64 a2 4) (*.f64 (+.f64 a2 a2) 6)) 16)
(pow.f64 (.f64 a2 (.f64 a2 3)) 1)
(neg.f64 (neg.f64 (.f64 a2 (.f64 a2 3))))
(+.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))
(+.f64 (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)) 0)
(+.f64 0 (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)))
(+.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 (.f64 a2 a2) (+.f64 (.f64 a2 a2) (neg.f64 (*.f64 a1 a1))))
(+.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 (+.f64 a2 a2)))
(+.f64 (-.f64 (.f64 a2 a2) (/.f64 (.f64 a1 a1) 2)) (-.f64 (.f64 a2 a2) (/.f64 (.f64 a1 a1) 2)))
(+.f64 (-.f64 (.f64 (.f64 a2 a2) 4) (.f64 a1 a1)) (.f64 (*.f64 a2 a2) -2))
(+.f64 (-.f64 (.f64 a2 (+.f64 a2 a2)) (/.f64 (.f64 a1 a1) 2)) (neg.f64 (/.f64 (*.f64 a1 a1) 2)))
(+.f64 (/.f64 (neg.f64 (.f64 a1 a1)) 2) (/.f64 (+.f64 (neg.f64 (.f64 a1 a1)) (.f64 (.f64 a2 a2) 4)) 2))
(+.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 a2 a2))
(.f64 (-.f64 (.f64 a2 (+.f64 a2 a2)) (*.f64 a1 a1)) 1)
(.f64 2 (-.f64 (.f64 a2 a2) (*.f64 a1 (/.f64 a1 2))))
(.f64 1 (-.f64 (.f64 a2 (+.f64 a2 a2)) (*.f64 a1 a1)))
(.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) -1)
(.f64 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (*.f64 a1 a1) -2)) 1/2)
(.f64 -1 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)))
(.f64 1/2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (*.f64 a1 a1) -2)))
(.f64 1/2 (-.f64 (.f64 (+.f64 a2 a2) (.f64 a2 4)) (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 (.f64 a2 a2) 4))))
(.f64 1/2 (-.f64 (.f64 (+.f64 a2 a2) (.f64 a2 4)) (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 a1 (+.f64 a1 a1)))))
(.f64 (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2))) 1/4)
(.f64 1/4 (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2))))
(/.f64 (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)) 1)
(/.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) -2)) -1)
(/.f64 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2)) 2)
(/.f64 (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (*.f64 a1 a1) -2))) 4)
(/.f64 (+.f64 (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2))) (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2)))) 8)
(pow.f64 (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)) 1)
(neg.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) -2)))

Outputs
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(-.f64 (.f64 3 (pow.f64 a2 2)) (.f64 2 (pow.f64 a2 2)))
(pow.f64 a2 2)
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 3 (pow.f64 a2 2))) (.f64 2 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (*.f64 (pow.f64 a2 2) 1) (neg.f64 (pow.f64 a1 2)))
(-.f64 (pow.f64 a2 2) (neg.f64 (pow.f64 a1 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 3 (pow.f64 a2 2))) (.f64 2 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (*.f64 (pow.f64 a2 2) 1) (neg.f64 (pow.f64 a1 2)))
(-.f64 (pow.f64 a2 2) (neg.f64 (pow.f64 a1 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 3 (pow.f64 a2 2))) (.f64 2 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (*.f64 (pow.f64 a2 2) 1) (neg.f64 (pow.f64 a1 2)))
(-.f64 (pow.f64 a2 2) (neg.f64 (pow.f64 a1 2)))
(pow.f64 a1 2)
(-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (*.f64 (pow.f64 a2 2) 1) (neg.f64 (pow.f64 a1 2)))
(-.f64 (pow.f64 a2 2) (neg.f64 (pow.f64 a1 2)))
(-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (*.f64 (pow.f64 a2 2) 1) (neg.f64 (pow.f64 a1 2)))
(-.f64 (pow.f64 a2 2) (neg.f64 (pow.f64 a1 2)))
(-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (*.f64 (pow.f64 a2 2) 1) (neg.f64 (pow.f64 a1 2)))
(-.f64 (pow.f64 a2 2) (neg.f64 (pow.f64 a1 2)))
(pow.f64 a1 2)
(-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (*.f64 (pow.f64 a2 2) 1) (neg.f64 (pow.f64 a1 2)))
(-.f64 (pow.f64 a2 2) (neg.f64 (pow.f64 a1 2)))
(-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (*.f64 (pow.f64 a2 2) 1) (neg.f64 (pow.f64 a1 2)))
(-.f64 (pow.f64 a2 2) (neg.f64 (pow.f64 a1 2)))
(-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 3)) (.f64 2 (pow.f64 a2 2)))
(-.f64 (*.f64 (pow.f64 a2 2) 1) (neg.f64 (pow.f64 a1 2)))
(-.f64 (pow.f64 a2 2) (neg.f64 (pow.f64 a1 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (pow.f64 a2 2)) (.f64 2 (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 3 (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) 3)
(*.f64 3 (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) 3)
(*.f64 3 (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) 3)
(*.f64 3 (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) 3)
(*.f64 3 (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) 3)
(*.f64 3 (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) 3)
(*.f64 3 (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) 3)
(*.f64 3 (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) 3)
(*.f64 3 (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) 3)
(*.f64 3 (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) 3)
(*.f64 3 (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) 3)
(*.f64 3 (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) 3)
(*.f64 -1 (pow.f64 a1 2))
(*.f64 (pow.f64 a1 2) -1)
(neg.f64 (pow.f64 a1 2))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 2 (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) -1))
(+.f64 (*.f64 2 (pow.f64 a2 2)) (neg.f64 (pow.f64 a1 2)))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 2 (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) -1))
(+.f64 (*.f64 2 (pow.f64 a2 2)) (neg.f64 (pow.f64 a1 2)))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 2 (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) -1))
(+.f64 (*.f64 2 (pow.f64 a2 2)) (neg.f64 (pow.f64 a1 2)))
(*.f64 2 (pow.f64 a2 2))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 2 (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) -1))
(+.f64 (*.f64 2 (pow.f64 a2 2)) (neg.f64 (pow.f64 a1 2)))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 2 (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) -1))
(+.f64 (*.f64 2 (pow.f64 a2 2)) (neg.f64 (pow.f64 a1 2)))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
(+.f64 (.f64 2 (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) -1))
(+.f64 (*.f64 2 (pow.f64 a2 2)) (neg.f64 (pow.f64 a1 2)))
(*.f64 2 (pow.f64 a2 2))
(+.f64 (.f64 -1 (pow.f64 a1 2)) (.f64 2 (pow.f64 a2 2)))
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(.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) (/.f64 1 (.f64 2 (*.f64 (sqrt.f64 2) 4))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) (-.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (/.f64 1 (.f64 2 (.f64 (sqrt.f64 2) 4)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 1 (/.f64 1 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (*.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 1 (/.f64 2 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 -2 (/.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 1/4 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 1 (.f64 2 (.f64 (sqrt.f64 2) 4))) (.f64 2 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 4)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 1 (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 2) (*.f64 (sqrt.f64 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 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2)) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 2) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 2) (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)) (/.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (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 1/2 (sqrt.f64 2)) (sqrt.f64 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 (/.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 4)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 2 (sqrt.f64 2))) -1) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (+.f64 -1 (.f64 (sqrt.f64 2) (/.f64 2 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (+.f64 -1 (.f64 (sqrt.f64 2) (/.f64 2 (sqrt.f64 2)))) (sqrt.f64 2)))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (+.f64 -1 (.f64 2 (/.f64 (sqrt.f64 2) (sqrt.f64 2)))) (sqrt.f64 2)))
(pow.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) 1)
(/.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))
(+.f64 (.f64 a2 (.f64 a2 3)) 0)
(.f64 a2 (.f64 a2 3))
(+.f64 0 (.f64 a2 (.f64 a2 3)))
(.f64 a2 (.f64 a2 3))
(+.f64 (/.f64 (.f64 a2 (.f64 a2 3)) 2) (/.f64 (.f64 a2 (.f64 a2 3)) 2))
(.f64 a2 (.f64 a2 3))
(-.f64 (.f64 a2 (.f64 a2 3)) 0)
(.f64 a2 (.f64 a2 3))
(-.f64 0 (neg.f64 (.f64 a2 (.f64 a2 3))))
(.f64 a2 (.f64 a2 3))
(-.f64 (/.f64 (.f64 a2 (.f64 a2 3)) 2) (/.f64 (neg.f64 (.f64 a2 (.f64 a2 3))) 2))
(.f64 a2 (.f64 a2 3))
(/.f64 (.f64 a2 (.f64 a2 3)) 1)
(.f64 a2 (.f64 a2 3))
(/.f64 (neg.f64 (.f64 a2 (.f64 a2 3))) -1)
(.f64 a2 (.f64 a2 3))
(/.f64 (.f64 a2 (.f64 a2 6)) 2)
(.f64 a2 (.f64 a2 3))
(/.f64 (.f64 a2 (.f64 (+.f64 a2 a2) 6)) 4)
(.f64 a2 (.f64 a2 3))
(/.f64 (.f64 a2 (.f64 a2 -3)) -1)
(neg.f64 (.f64 -3 (.f64 a2 a2)))
(neg.f64 (.f64 a2 (.f64 a2 -3)))
(/.f64 (+.f64 (.f64 a2 (.f64 (+.f64 a2 a2) 6)) (.f64 a2 (.f64 (+.f64 a2 a2) 6))) 8)
(.f64 a2 (.f64 a2 3))
(/.f64 (.f64 (.f64 a2 4) (*.f64 (+.f64 a2 a2) 6)) 16)
(/.f64 (.f64 6 (.f64 (+.f64 a2 a2) (*.f64 a2 4))) 16)
(/.f64 (.f64 6 (.f64 8 (*.f64 a2 a2))) 16)
(/.f64 (.f64 (.f64 2 (*.f64 a2 a2)) 24) 16)
(pow.f64 (.f64 a2 (.f64 a2 3)) 1)
(.f64 a2 (.f64 a2 3))
(neg.f64 (neg.f64 (.f64 a2 (.f64 a2 3))))
(.f64 a2 (.f64 a2 3))
(+.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))
(-.f64 (.f64 2 (.f64 a2 a2)) (*.f64 a1 a1))
(+.f64 (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)) 0)
(+.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))
(-.f64 (.f64 2 (.f64 a2 a2)) (*.f64 a1 a1))
(+.f64 0 (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)))
(+.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))
(-.f64 (.f64 2 (.f64 a2 a2)) (*.f64 a1 a1))
(+.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))
(-.f64 (.f64 2 (.f64 a2 a2)) (*.f64 a1 a1))
(+.f64 (.f64 a2 a2) (+.f64 (.f64 a2 a2) (neg.f64 (*.f64 a1 a1))))
(+.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))
(-.f64 (.f64 2 (.f64 a2 a2)) (*.f64 a1 a1))
(+.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 (+.f64 a2 a2)))
(+.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))
(-.f64 (.f64 2 (.f64 a2 a2)) (*.f64 a1 a1))
(+.f64 (-.f64 (.f64 a2 a2) (/.f64 (.f64 a1 a1) 2)) (-.f64 (.f64 a2 a2) (/.f64 (.f64 a1 a1) 2)))
(+.f64 (-.f64 (.f64 (.f64 a2 a2) 4) (.f64 a1 a1)) (.f64 (*.f64 a2 a2) -2))
(+.f64 (.f64 (.f64 a2 a2) -2) (-.f64 (.f64 (.f64 a2 a2) 4) (*.f64 a1 a1)))
(+.f64 (.f64 a2 (.f64 a2 -2)) (-.f64 (.f64 a2 (.f64 a2 4)) (*.f64 a1 a1)))
(+.f64 (.f64 a2 (.f64 a2 -2)) (-.f64 (.f64 (.f64 a2 a2) 4) (*.f64 a1 a1)))
(+.f64 (-.f64 (.f64 a2 (+.f64 a2 a2)) (/.f64 (.f64 a1 a1) 2)) (neg.f64 (/.f64 (*.f64 a1 a1) 2)))
(+.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))
(-.f64 (.f64 2 (.f64 a2 a2)) (*.f64 a1 a1))
(+.f64 (/.f64 (neg.f64 (.f64 a1 a1)) 2) (/.f64 (+.f64 (neg.f64 (.f64 a1 a1)) (.f64 (.f64 a2 a2) 4)) 2))
(/.f64 (+.f64 (neg.f64 (.f64 a1 a1)) (+.f64 (neg.f64 (.f64 a1 a1)) (.f64 (.f64 a2 a2) 4))) 2)
(/.f64 (+.f64 (.f64 a2 (.f64 a2 4)) (neg.f64 (*.f64 a1 (+.f64 a1 a1)))) 2)
(-.f64 (/.f64 (.f64 (.f64 a2 a2) 4) 2) (*.f64 a1 a1))
(+.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 a2 a2))
(+.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))
(-.f64 (.f64 2 (.f64 a2 a2)) (*.f64 a1 a1))
(.f64 (-.f64 (.f64 a2 (+.f64 a2 a2)) (*.f64 a1 a1)) 1)
(+.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))
(-.f64 (.f64 2 (.f64 a2 a2)) (*.f64 a1 a1))
(.f64 2 (-.f64 (.f64 a2 a2) (*.f64 a1 (/.f64 a1 2))))
(.f64 1 (-.f64 (.f64 a2 (+.f64 a2 a2)) (*.f64 a1 a1)))
(+.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))
(-.f64 (.f64 2 (.f64 a2 a2)) (*.f64 a1 a1))
(.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) -1)
(+.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))
(-.f64 (.f64 2 (.f64 a2 a2)) (*.f64 a1 a1))
(.f64 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (*.f64 a1 a1) -2)) 1/2)
(.f64 1/2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (*.f64 a1 a1) -2)))
(.f64 1/2 (+.f64 (.f64 a2 (.f64 a2 4)) (.f64 a1 (*.f64 a1 -2))))
(.f64 1/2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 a1 (*.f64 a1 -2))))
(.f64 -1 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)))
(+.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))
(-.f64 (.f64 2 (.f64 a2 a2)) (*.f64 a1 a1))
(.f64 1/2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (*.f64 a1 a1) -2)))
(.f64 1/2 (+.f64 (.f64 a2 (.f64 a2 4)) (.f64 a1 (*.f64 a1 -2))))
(.f64 1/2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 a1 (*.f64 a1 -2))))
(.f64 1/2 (-.f64 (.f64 (+.f64 a2 a2) (.f64 a2 4)) (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 (.f64 a2 a2) 4))))
(.f64 1/2 (-.f64 (.f64 8 (.f64 a2 a2)) (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 a2 (.f64 a2 4)))))
(.f64 1/2 (+.f64 (.f64 a1 (.f64 a1 -2)) (-.f64 (.f64 (.f64 a2 a2) 8) (.f64 (*.f64 a2 a2) 4))))
(.f64 1/2 (-.f64 (.f64 (+.f64 a2 a2) (.f64 a2 4)) (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 a1 (+.f64 a1 a1)))))
(.f64 1/2 (-.f64 (.f64 (+.f64 a2 a2) (.f64 a2 4)) (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 (.f64 a2 a2) 4))))
(.f64 1/2 (-.f64 (.f64 8 (.f64 a2 a2)) (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 a2 (.f64 a2 4)))))
(.f64 1/2 (+.f64 (.f64 a1 (.f64 a1 -2)) (-.f64 (.f64 (.f64 a2 a2) 8) (.f64 (*.f64 a2 a2) 4))))
(.f64 (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2))) 1/4)
(.f64 1/2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (*.f64 a1 a1) -2)))
(.f64 1/2 (+.f64 (.f64 a2 (.f64 a2 4)) (.f64 a1 (*.f64 a1 -2))))
(.f64 1/2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 a1 (*.f64 a1 -2))))
(.f64 1/4 (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2))))
(.f64 1/2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (*.f64 a1 a1) -2)))
(.f64 1/2 (+.f64 (.f64 a2 (.f64 a2 4)) (.f64 a1 (*.f64 a1 -2))))
(.f64 1/2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 a1 (*.f64 a1 -2))))
(/.f64 (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)) 1)
(+.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))
(-.f64 (.f64 2 (.f64 a2 a2)) (*.f64 a1 a1))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) -2)) -1)
(+.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))
(-.f64 (.f64 2 (.f64 a2 a2)) (*.f64 a1 a1))
(/.f64 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2)) 2)
(/.f64 (+.f64 (neg.f64 (.f64 a1 a1)) (+.f64 (neg.f64 (.f64 a1 a1)) (.f64 (.f64 a2 a2) 4))) 2)
(/.f64 (+.f64 (.f64 a2 (.f64 a2 4)) (neg.f64 (*.f64 a1 (+.f64 a1 a1)))) 2)
(-.f64 (/.f64 (.f64 (.f64 a2 a2) 4) 2) (*.f64 a1 a1))
(/.f64 (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (*.f64 a1 a1) -2))) 4)
(/.f64 (.f64 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (*.f64 a1 a1) -2)) 4) 8)
(/.f64 (.f64 4 (+.f64 (.f64 a2 (.f64 a2 4)) (.f64 a1 (*.f64 a1 -2)))) 8)
(/.f64 (.f64 4 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 a1 (*.f64 a1 -2)))) 8)
(/.f64 (+.f64 (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2))) (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (.f64 a1 a1) -2)))) 8)
(/.f64 (.f64 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 (*.f64 a1 a1) -2)) 4) 8)
(/.f64 (.f64 4 (+.f64 (.f64 a2 (.f64 a2 4)) (.f64 a1 (*.f64 a1 -2)))) 8)
(/.f64 (.f64 4 (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 a1 (*.f64 a1 -2)))) 8)
(pow.f64 (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)) 1)
(+.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))
(-.f64 (.f64 2 (.f64 a2 a2)) (*.f64 a1 a1))
(neg.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) -2)))
(+.f64 (.f64 a2 (+.f64 a2 a2)) (neg.f64 (.f64 a1 a1)))
(-.f64 (.f64 2 (.f64 a2 a2)) (*.f64 a1 a1))

localize186.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 2 (.f64 a2 a2)) (*.f64 a2 a2))
✓	0.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a2 a2)))) (*.f64 a2 a2)))
✓	0.6b	(-.f64 (.f64 a2 a2) (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a2 a2)))
	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 110 to 44 computations (60% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite264.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`rational_best-simplify-51`
782×	`rational_best-simplify-65`
718×	`rational_best-simplify-48`
714×	`rational_best-simplify-76`
690×	`rational_best-simplify-75`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	139
1	124	83
2	346	59
3	1624	55

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

Inputs

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

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

(+.f64 (*.f64 2 (*.f64 a2 a2)) (*.f64 a2 a2))

Outputs

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

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

simplify305.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1334×	`rational_best-simplify-57`
1212×	`rational_best-simplify-64`
806×	`rational_best-simplify-3`
790×	`rational_best-simplify-54`
752×	`rational_best-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	6552
1	1127	6460
2	3366	5228

Stop Event

1×	node limit

Counts

236 → 236

Calls

Call 1

Inputs
(*.f64 -2 (pow.f64 a2 2))
(*.f64 -2 (pow.f64 a2 2))
(*.f64 -2 (pow.f64 a2 2))
(*.f64 -2 (pow.f64 a2 2))
(*.f64 -2 (pow.f64 a2 2))
(*.f64 -2 (pow.f64 a2 2))
(*.f64 -2 (pow.f64 a2 2))
(*.f64 -2 (pow.f64 a2 2))
(*.f64 -2 (pow.f64 a2 2))
(*.f64 -2 (pow.f64 a2 2))
(*.f64 -2 (pow.f64 a2 2))
(*.f64 -2 (pow.f64 a2 2))
(/.f64 (-.f64 (*.f64 2 (pow.f64 a2 2)) (pow.f64 a2 2)) (sqrt.f64 2))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.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 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.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 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.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 (/.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 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(+.f64 (.f64 a2 a2) (.f64 (*.f64 a2 a2) -3))
(+.f64 (.f64 a2 (.f64 -2 a2)) 0)
(+.f64 (.f64 a2 (.f64 -2 a2)) (-.f64 (.f64 a2 (.f64 -2 a2)) (.f64 a2 (.f64 -2 a2))))
(+.f64 1 (+.f64 (.f64 a2 (.f64 -2 a2)) -1))
(+.f64 1 (/.f64 (+.f64 (*.f64 a2 (+.f64 a2 a2)) 1) -1))
(+.f64 0 (.f64 a2 (.f64 -2 a2)))
(+.f64 (.f64 a2 (neg.f64 a2)) (.f64 a2 (neg.f64 a2)))
(+.f64 -1 (-.f64 1 (*.f64 a2 (+.f64 a2 a2))))
(+.f64 -1 (/.f64 (+.f64 (*.f64 a2 (+.f64 a2 a2)) -1) -1))
(+.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 4 (*.f64 a2 (neg.f64 a2))))
(+.f64 (.f64 (.f64 a2 a2) -3) (*.f64 a2 a2))
(+.f64 (-.f64 1 (*.f64 a2 (+.f64 a2 a2))) -1)
(+.f64 (-.f64 1 (.f64 a2 (+.f64 a2 a2))) (-.f64 (.f64 a2 (.f64 -2 a2)) (-.f64 1 (.f64 a2 (+.f64 a2 a2)))))
(+.f64 (+.f64 (.f64 a2 (.f64 -2 a2)) -1) 1)
(+.f64 (+.f64 (.f64 a2 (.f64 -2 a2)) -1) (-.f64 (.f64 a2 (.f64 -2 a2)) (+.f64 (.f64 a2 (.f64 -2 a2)) -1)))
(+.f64 (.f64 4 (.f64 a2 (neg.f64 a2))) (*.f64 a2 (+.f64 a2 a2)))
(+.f64 1/2 (/.f64 (-.f64 -1 (.f64 a2 (.f64 a2 4))) 2))
(+.f64 (/.f64 (.f64 a2 a2) 2) (-.f64 (/.f64 (.f64 a2 a2) 2) (.f64 a2 (.f64 a2 3))))
(+.f64 (-.f64 (.f64 a2 (.f64 -2 a2)) (.f64 a2 (.f64 -2 a2))) (.f64 a2 (.f64 -2 a2)))
(+.f64 (/.f64 (.f64 a2 (neg.f64 a2)) 2) (/.f64 (.f64 (*.f64 a2 a2) -3) 2))
(+.f64 (/.f64 (+.f64 (*.f64 a2 (+.f64 a2 a2)) -1) -1) -1)
(+.f64 (/.f64 (+.f64 (*.f64 a2 (+.f64 a2 a2)) 1) -1) 1)
(+.f64 (/.f64 (.f64 (.f64 a2 a2) -3) 2) (/.f64 (*.f64 a2 (neg.f64 a2)) 2))
(+.f64 (/.f64 (-.f64 1 (.f64 a2 (+.f64 a2 a2))) 2) (/.f64 (+.f64 (.f64 a2 (*.f64 -2 a2)) -1) 2))
(+.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) (.f64 a2 a2)) (-.f64 (/.f64 (.f64 a2 a2) 2) (.f64 a2 (+.f64 a2 a2))))
(+.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) (.f64 a2 (+.f64 a2 a2))) (-.f64 (/.f64 (.f64 a2 a2) 2) (.f64 a2 a2)))
(+.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) (+.f64 (.f64 a2 a2) 1)) (-.f64 (/.f64 (.f64 a2 a2) 2) (+.f64 (.f64 a2 (+.f64 a2 a2)) -1)))
(+.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) (.f64 a2 (.f64 a2 3))) (/.f64 (.f64 a2 a2) 2))
(+.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) (-.f64 (.f64 a2 (.f64 a2 3)) -1)) (-.f64 (/.f64 (.f64 a2 a2) 2) -1))
(+.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) -1) (-.f64 (/.f64 (.f64 a2 a2) 2) (-.f64 (.f64 a2 (.f64 a2 3)) -1)))
(+.f64 (-.f64 (.f64 a2 (.f64 -2 a2)) (+.f64 (.f64 a2 (.f64 -2 a2)) -1)) (+.f64 (.f64 a2 (.f64 -2 a2)) -1))
(+.f64 (-.f64 (.f64 a2 (.f64 -2 a2)) (-.f64 1 (.f64 a2 (+.f64 a2 a2)))) (-.f64 1 (.f64 a2 (+.f64 a2 a2))))
(+.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) (-.f64 (.f64 a2 (.f64 a2 3)) 1)) (-.f64 (/.f64 (.f64 a2 a2) 2) 1))
(.f64 a2 (.f64 -2 a2))
(.f64 a2 (-.f64 a2 (.f64 a2 3)))
(.f64 a2 (-.f64 (+.f64 a2 a2) (.f64 a2 4)))
(.f64 (.f64 a2 a2) -2)
(.f64 2 (.f64 a2 (neg.f64 a2)))
(.f64 (.f64 a2 (*.f64 -2 a2)) 1)
(.f64 1 (.f64 a2 (*.f64 -2 a2)))
(*.f64 (+.f64 a2 a2) (neg.f64 a2))
(.f64 (.f64 a2 (neg.f64 a2)) 2)
(.f64 -1 (.f64 a2 (+.f64 a2 a2)))
(.f64 (.f64 a2 (+.f64 a2 a2)) -1)
(*.f64 (neg.f64 a2) (+.f64 a2 a2))
(.f64 (.f64 a2 (*.f64 a2 4)) -1/2)
(.f64 (.f64 4 (*.f64 a2 (neg.f64 a2))) 1/2)
(.f64 -2 (.f64 a2 a2))
(.f64 (.f64 2 (neg.f64 a2)) (*.f64 (neg.f64 a2) -1))
(.f64 1/2 (.f64 4 (*.f64 a2 (neg.f64 a2))))
(.f64 (.f64 -2 a2) (*.f64 (neg.f64 a2) -1))
(.f64 (fabs.f64 (+.f64 a2 a2)) (.f64 (fabs.f64 a2) -1))
(.f64 (.f64 (.f64 a2 (.f64 a2 4)) -2) 1/4)
(.f64 (.f64 2 (.f64 a2 (.f64 a2 4))) -1/4)
(/.f64 (*.f64 a2 a2) -1/2)
(/.f64 (.f64 a2 (.f64 -2 a2)) 1)
(/.f64 (*.f64 a2 (neg.f64 a2)) 1/2)
(/.f64 (*.f64 a2 (+.f64 a2 a2)) -1)
(/.f64 (.f64 a2 (.f64 a2 4)) -2)
(/.f64 (.f64 4 (.f64 a2 (neg.f64 a2))) 2)
(/.f64 (.f64 (.f64 a2 (*.f64 a2 4)) -2) 4)
(/.f64 (.f64 2 (.f64 a2 (*.f64 a2 4))) -4)
(/.f64 (+.f64 (.f64 a2 (.f64 a2 4)) (.f64 a2 (.f64 -2 a2))) -1)
(/.f64 (+.f64 (.f64 a2 (.f64 -2 a2)) (.f64 a2 (.f64 a2 4))) -1)
(/.f64 (+.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 2 (.f64 (.f64 a2 a2) -3))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 a2 a2) -3)) (.f64 a2 (+.f64 a2 a2))) 2)
(/.f64 (+.f64 (.f64 (.f64 a2 (.f64 a2 4)) -2) (.f64 a2 (*.f64 a2 4))) 2)
(/.f64 (+.f64 (.f64 a2 (.f64 a2 4)) (.f64 (.f64 a2 (*.f64 a2 4)) -2)) 2)
(/.f64 (-.f64 (.f64 a2 (.f64 a2 4)) (.f64 2 (.f64 2 (.f64 a2 (.f64 a2 3))))) 4)
(/.f64 (-.f64 (.f64 (.f64 a2 (.f64 a2 4)) -2) (.f64 4 (*.f64 a2 (neg.f64 a2)))) 2)
(pow.f64 (.f64 a2 (.f64 -2 a2)) 1)
(neg.f64 (*.f64 a2 (+.f64 a2 a2)))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 0)
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2)))
(+.f64 0 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (sqrt.f64 2))))
(+.f64 (/.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) -2) (/.f64 (-.f64 (.f64 a2 a2) (-.f64 0 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 2 (sqrt.f64 2))))
(+.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) (sqrt.f64 2)) (/.f64 (*.f64 a2 (neg.f64 a2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 (neg.f64 a2)) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))) (sqrt.f64 2)))
(+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (*.f64 a2 (+.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 (+.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 2 (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (+.f64 (.f64 a2 (+.f64 a2 a2)) -1) (sqrt.f64 2)) (/.f64 (-.f64 (.f64 a1 a1) (+.f64 (*.f64 a2 a2) -1)) (sqrt.f64 2)))
(+.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 (-.f64 (.f64 a1 a1) (-.f64 -1 (.f64 a2 a2))) (sqrt.f64 2)))
(+.f64 (/.f64 (+.f64 (.f64 a2 (.f64 -2 a2)) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (.f64 a2 (*.f64 a2 3)) (sqrt.f64 2)))
(+.f64 (/.f64 (-.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) 1)) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a2 (+.f64 a2 a2)) 1) (sqrt.f64 2)))
(+.f64 (/.f64 (-.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) -1)) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a2 (+.f64 a2 a2)) -1) (sqrt.f64 2)))
(+.f64 (/.f64 (-.f64 -1 (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (-.f64 1 (-.f64 (.f64 a2 (.f64 -2 a2)) (.f64 a1 a1))) (sqrt.f64 2)))
(+.f64 (/.f64 (-.f64 (.f64 a1 a1) (-.f64 -1 (.f64 a2 a2))) (sqrt.f64 2)) (/.f64 -1 (sqrt.f64 2)))
(+.f64 (/.f64 (-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(+.f64 (/.f64 (-.f64 (.f64 a1 a1) (-.f64 1 (.f64 a2 (+.f64 a2 a2)))) (sqrt.f64 2)) (/.f64 (-.f64 1 (*.f64 a2 a2)) (sqrt.f64 2)))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 0)
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2)))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (+.f64 (/.f64 0 (sqrt.f64 2)) 0))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (+.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2))))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (-.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (*.f64 2 (sqrt.f64 2))))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (sqrt.f64 2))) (/.f64 (-.f64 (.f64 a2 (neg.f64 a2)) (.f64 a1 a1)) (.f64 2 (sqrt.f64 2))))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (sqrt.f64 2))) (/.f64 (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 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 a2 (neg.f64 a2)) (sqrt.f64 2)) (/.f64 (-.f64 (.f64 a2 (.f64 -2 a2)) (.f64 a1 a1)) (sqrt.f64 2)))
(-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (-.f64 (.f64 a2 (neg.f64 a2)) (.f64 a1 a1)) (sqrt.f64 2)))
(-.f64 (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (.f64 a2 (.f64 -2 a2)) (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 a2 (+.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (-.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 a2 (.f64 a2 3)) (sqrt.f64 2)) (/.f64 (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1)) (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 (neg.f64 a2)) (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 2)))
(-.f64 (-.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 0 (sqrt.f64 2))) (/.f64 (-.f64 (.f64 a2 (neg.f64 a2)) (.f64 a1 a1)) (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 2 (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (sqrt.f64 2)) (/.f64 (-.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -3)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1)
(/.f64 (-.f64 (.f64 a2 (neg.f64 a2)) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 2 (sqrt.f64 2))) 1/2)
(/.f64 (/.f64 (.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2)) 2)
(/.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 2 (sqrt.f64 2)))
(/.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (*.f64 (sqrt.f64 2) 4))
(/.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (*.f64 4 (sqrt.f64 2)))
(/.f64 (.f64 4 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 4)
(/.f64 (.f64 (-.f64 (.f64 a2 (neg.f64 a2)) (.f64 a1 a1)) 2) (.f64 -2 (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (.f64 a2 (neg.f64 a2)) (.f64 a1 a1)) 4) (neg.f64 (.f64 (sqrt.f64 2) 4)))
(/.f64 (.f64 (-.f64 (.f64 a2 (neg.f64 a2)) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) -2)
(/.f64 (.f64 (-.f64 (.f64 a2 (neg.f64 a2)) (.f64 a1 a1)) 8) (neg.f64 (.f64 2 (*.f64 (sqrt.f64 2) 4))))
(/.f64 (.f64 (-.f64 (.f64 a2 (neg.f64 a2)) (*.f64 a1 a1)) (/.f64 4 (sqrt.f64 2))) -4)
(/.f64 (.f64 (-.f64 (.f64 a2 (neg.f64 a2)) (*.f64 a1 a1)) (/.f64 1 (sqrt.f64 2))) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 2 (*.f64 (sqrt.f64 2) 4)))
(/.f64 (.f64 4 (.f64 2 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (*.f64 (sqrt.f64 2) 4) 4))
(/.f64 (.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 4 (sqrt.f64 2))) 16)
(/.f64 (.f64 (/.f64 4 (sqrt.f64 2)) (.f64 2 (.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))) 16)
(/.f64 (.f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (.f64 2 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) 1)
(pow.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1)
(-.f64 (.f64 a2 a2) (.f64 a2 (*.f64 -2 a2)))
(-.f64 (.f64 a2 (.f64 a2 3)) 0)
(-.f64 (.f64 a2 (.f64 -2 a2)) (-.f64 (.f64 4 (.f64 a2 (neg.f64 a2))) (*.f64 a2 a2)))
(-.f64 0 (.f64 (.f64 a2 a2) -3))
(-.f64 (.f64 a2 (neg.f64 a2)) (.f64 4 (*.f64 a2 (neg.f64 a2))))
(-.f64 -1 (-.f64 (+.f64 (.f64 a2 (.f64 -2 a2)) -1) (*.f64 a2 a2)))
(-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a2 (neg.f64 a2)))
(-.f64 (.f64 a2 (.f64 a2 4)) (*.f64 a2 a2))
(-.f64 (.f64 a2 (.f64 a2 4)) (+.f64 (.f64 a2 (.f64 -2 a2)) (.f64 a2 (.f64 a2 3))))
(-.f64 (.f64 2 (.f64 a2 (.f64 a2 3))) (.f64 a2 (*.f64 a2 3)))
(-.f64 (.f64 2 (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 a2 (neg.f64 a2)) (.f64 a2 (.f64 a2 4))))
(-.f64 (-.f64 (.f64 a2 a2) (.f64 4 (.f64 a2 (neg.f64 a2)))) (.f64 a2 (+.f64 a2 a2)))
(-.f64 (-.f64 (.f64 a2 (.f64 a2 3)) -1) 1)
(-.f64 (/.f64 (.f64 a2 (.f64 a2 3)) 2) (/.f64 (.f64 (.f64 a2 a2) -3) 2))
(-.f64 (/.f64 (.f64 a2 (.f64 a2 3)) 2) (-.f64 (.f64 a2 (neg.f64 a2)) (/.f64 (.f64 a2 a2) 2)))
(-.f64 (/.f64 (.f64 a2 a2) 2) (-.f64 (.f64 a2 (.f64 -2 a2)) (/.f64 (.f64 a2 a2) 2)))
(-.f64 (+.f64 (.f64 a2 (+.f64 a2 a2)) 1) (-.f64 1 (.f64 a2 a2)))
(-.f64 (-.f64 (.f64 a2 (.f64 a2 3)) 1) -1)
(-.f64 (-.f64 (.f64 a2 (.f64 a2 3)) 1) (-.f64 (-.f64 (.f64 a2 a2) 1) (.f64 a2 a2)))
(-.f64 (-.f64 (.f64 2 (.f64 a2 (.f64 a2 3))) (.f64 a2 (neg.f64 a2))) (.f64 a2 (.f64 a2 4)))
(-.f64 (+.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 4))) (.f64 a2 (+.f64 a2 a2)))
(-.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) (.f64 a2 a2)) (-.f64 (.f64 (.f64 a2 a2) -3) (/.f64 (*.f64 a2 a2) 2)))
(-.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) (.f64 a2 (.f64 -2 a2))) (-.f64 0 (/.f64 (.f64 a2 a2) 2)))
(-.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) (-.f64 1 (.f64 a2 (+.f64 a2 a2)))) (-.f64 -1 (/.f64 (*.f64 a2 a2) 2)))
(-.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) -1) (-.f64 (-.f64 1 (.f64 a2 (+.f64 a2 a2))) (/.f64 (*.f64 a2 a2) 2)))
(-.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) 1) (-.f64 (+.f64 (.f64 a2 (.f64 -2 a2)) -1) (/.f64 (.f64 a2 a2) 2)))
(-.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) (.f64 (.f64 a2 a2) -3)) (/.f64 (.f64 a2 a2) 2))
(-.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) (+.f64 (.f64 a2 (.f64 -2 a2)) -1)) (-.f64 1 (/.f64 (.f64 a2 a2) 2)))
(-.f64 (-.f64 (.f64 a2 a2) (+.f64 (.f64 a2 a2) -1)) (-.f64 (-.f64 1 (.f64 a2 (+.f64 a2 a2))) (.f64 a2 a2)))
(-.f64 (-.f64 (.f64 a2 a2) (+.f64 (.f64 a2 a2) 1)) (-.f64 (+.f64 (.f64 a2 (.f64 -2 a2)) -1) (*.f64 a2 a2)))
(-.f64 (+.f64 (/.f64 (.f64 a2 a2) 2) (.f64 a2 (+.f64 a2 a2))) (-.f64 0 (/.f64 (*.f64 a2 a2) 2)))
(-.f64 (+.f64 (/.f64 (.f64 a2 a2) 2) (.f64 a2 (.f64 a2 4))) (-.f64 (.f64 a2 (+.f64 a2 a2)) (/.f64 (*.f64 a2 a2) 2)))
(-.f64 (+.f64 (/.f64 (.f64 a2 a2) 2) (.f64 a2 (.f64 a2 3))) (/.f64 (.f64 a2 a2) 2))
(-.f64 (+.f64 (/.f64 (.f64 a2 a2) 2) (.f64 2 (.f64 a2 (.f64 a2 3)))) (-.f64 (.f64 a2 (.f64 a2 4)) (/.f64 (*.f64 a2 a2) 2)))
(.f64 a2 (.f64 a2 3))
(.f64 (.f64 a2 a2) 3)
(.f64 (.f64 a2 (*.f64 a2 3)) 1)
(.f64 1 (.f64 a2 (*.f64 a2 3)))
(.f64 -1 (.f64 (*.f64 a2 a2) -3))
(.f64 (.f64 (*.f64 a2 a2) -3) -1)
(.f64 (.f64 2 (.f64 a2 (.f64 a2 3))) 1/2)
(.f64 1/2 (.f64 2 (.f64 a2 (.f64 a2 3))))
(.f64 3 (.f64 a2 a2))
(.f64 (.f64 a2 3) a2)
(.f64 (.f64 2 (.f64 2 (.f64 a2 (*.f64 a2 3)))) 1/4)
(.f64 -3 (.f64 a2 (neg.f64 a2)))
(/.f64 (.f64 a2 (.f64 a2 3)) 1)
(/.f64 (.f64 (.f64 a2 a2) -3) -1)
(/.f64 (.f64 2 (.f64 a2 (*.f64 a2 3))) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 a2 (.f64 a2 3)))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 a2 (.f64 a2 4))) (.f64 a2 (*.f64 a2 4))) 4)
(/.f64 (+.f64 (.f64 a2 (.f64 a2 4)) (.f64 2 (.f64 a2 (*.f64 a2 4)))) 4)
(/.f64 (-.f64 (.f64 a2 (.f64 a2 4)) (.f64 (.f64 a2 (*.f64 a2 4)) -2)) 4)
(pow.f64 (.f64 a2 (.f64 a2 3)) 1)
(neg.f64 (.f64 (.f64 a2 a2) -3))

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

localize104.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 20 computations (13% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite463.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`rational_best-simplify-1`
972×	`rational_best-simplify-68`
892×	`rational_best-simplify-3`
672×	`rational_best-simplify-49`
638×	`rational_best-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	65	17
2	120	17
3	316	17
4	1127	17
5	6158	17

Stop Event

1×	node limit

Counts

1 → 128

Calls

Call 1

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

Outputs

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2)))) (*.f64 (sqrt.f64 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) 4) (*.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2)))) (*.f64 2 (*.f64 (sqrt.f64 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) 8) (*.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2)))) (*.f64 8 (*.f64 (sqrt.f64 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 2) 8)) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 16)) (*.f64 16 (*.f64 2 (*.f64 (sqrt.f64 2) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 2) 8)) (/.f64 (*.f64 (*.f64 2 (pow.f64 a2 2)) 8) (sqrt.f64 2))) (*.f64 16 (*.f64 2 (*.f64 (sqrt.f64 2) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) -2))) (*.f64 -1/2 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) 4) (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) -2) (/.f64 (neg.f64 (pow.f64 a2 2)) (sqrt.f64 2))) (*.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) 8) (*.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2)))) (*.f64 4 (*.f64 (sqrt.f64 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 2) 8)) (*.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2)))) (*.f64 8 (*.f64 2 (*.f64 (sqrt.f64 2) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) 4) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) 8) (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (*.f64 2 (*.f64 (sqrt.f64 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (pow.f64 a2 2)) (sqrt.f64 2)))))))

simplify485.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1200×	`rational_best-simplify-49`
1118×	`rational_best-simplify-53`
1070×	`rational_best-simplify-108`
1054×	`rational_best-simplify-47`
622×	`rational_best-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	312	3116
1	1300	3008
2	6499	3008

Stop Event

1×	node limit

Counts

140 → 149

Calls

Call 1

Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 0)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 0 (/.f64 (sqrt.f64 2) 2)))
(+.f64 0 (/.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) (/.f64 1/2 (sqrt.f64 2))))
(+.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (+.f64 (*.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2))))
(+.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (/.f64 (.f64 -3 (/.f64 (pow.f64 a2 2) -2)) (.f64 2 (sqrt.f64 2))))
(+.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (/.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3/2) 2))
(+.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) 3) (.f64 (sqrt.f64 2) 4)))
(+.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))) 4))
(+.f64 (+.f64 (*.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)))
(+.f64 (/.f64 0 (/.f64 (sqrt.f64 2) 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 -3 (/.f64 (pow.f64 a2 2) -2)) (.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3/2) 2) (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) 3) (.f64 (sqrt.f64 2) 4)) (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))) 4) (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 0)
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 0 (/.f64 (sqrt.f64 2) 2)))
(-.f64 0 (/.f64 (neg.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) (.f64 (sqrt.f64 2) -2)))
(-.f64 (*.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 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -2)) (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -4))))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -4)))
(-.f64 (.f64 3 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -4)))
(-.f64 (/.f64 (.f64 -3 (/.f64 (pow.f64 a2 2) -2)) (.f64 2 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) -4)))
(-.f64 (/.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3/2) 2) (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -4)))
(-.f64 (/.f64 (.f64 (pow.f64 a2 2) 3) (.f64 (sqrt.f64 2) 4)) (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) -4)))
(-.f64 (/.f64 (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))) 4) (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -4)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 1)
(/.f64 (*.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) 1/2)
(/.f64 (.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) (/.f64 1/2 (sqrt.f64 2))))
(/.f64 (.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (sqrt.f64 2) (.f64 2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (/.f64 (sqrt.f64 2) 2) (sqrt.f64 2)))
(/.f64 (.f64 2 (pow.f64 a2 2)) (.f64 2 (sqrt.f64 2)))
(/.f64 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) 2)
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) 1/4)
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (/.f64 (*.f64 (sqrt.f64 2) 1/4) (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 2) 2) (*.f64 2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) 1/2) (/.f64 (sqrt.f64 2) 2))
(/.f64 (.f64 (pow.f64 a2 2) 1/2) (.f64 (sqrt.f64 2) 1/2))
(/.f64 (.f64 (pow.f64 a2 2) 1/2) (.f64 (*.f64 (sqrt.f64 2) 1/2) 1))
(/.f64 (neg.f64 (pow.f64 a2 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (neg.f64 (pow.f64 a2 2)) (sqrt.f64 2)) -1)
(/.f64 (.f64 (pow.f64 a2 2) 4) (.f64 (sqrt.f64 2) 4))
(/.f64 (.f64 (pow.f64 a2 2) 4) (.f64 8 (/.f64 (sqrt.f64 2) 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))) 4)
(/.f64 (.f64 (pow.f64 a2 2) -2) (.f64 (sqrt.f64 2) -2))
(/.f64 (*.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2))) 8)
(/.f64 (.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) 8) (sqrt.f64 2)))
(/.f64 (.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2))) (/.f64 (.f64 2 (.f64 (sqrt.f64 2) 8)) (.f64 2 (sqrt.f64 2))))
(/.f64 (.f64 2 (.f64 (pow.f64 a2 2) 4)) (*.f64 (sqrt.f64 2) 8))
(/.f64 (/.f64 (pow.f64 a2 2) 4) (/.f64 (sqrt.f64 2) 4))
(/.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 8)) (/.f64 (/.f64 (sqrt.f64 2) 2) (.f64 (sqrt.f64 2) 4)))
(/.f64 (.f64 (.f64 2 (pow.f64 a2 2)) 8) (.f64 2 (.f64 (sqrt.f64 2) 8)))
(/.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 16) 16)
(/.f64 (.f64 (pow.f64 a2 2) 1/4) (.f64 (*.f64 (sqrt.f64 2) 1/2) 1/2))
(/.f64 (/.f64 (*.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 1/4 (sqrt.f64 2)))
(/.f64 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) 2))) (/.f64 2 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 4 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 8 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (.f64 2 (pow.f64 a2 2)) 8) (sqrt.f64 2)) (/.f64 (.f64 2 (.f64 (sqrt.f64 2) 8)) (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 16) (sqrt.f64 2)) (/.f64 16 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) 2))) (sqrt.f64 2)) (/.f64 (/.f64 2 (sqrt.f64 2)) (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 (/.f64 4 (sqrt.f64 2)) (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 a2 2) 4) (/.f64 (sqrt.f64 2) 2)) 8)
(/.f64 (/.f64 (.f64 2 (pow.f64 a2 2)) 1/2) (.f64 (sqrt.f64 2) 4))
(/.f64 (/.f64 (*.f64 (pow.f64 a2 2) 1/2) 1/2) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) 1/2) (.f64 (sqrt.f64 2) 8))
(/.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) 1/2) (/.f64 (.f64 (sqrt.f64 2) 4) 1/2))
(/.f64 (/.f64 (*.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))) 1/2) 8)
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (sqrt.f64 2))
(/.f64 (/.f64 (pow.f64 a2 2) -1/4) (*.f64 (sqrt.f64 2) -4))
(/.f64 (/.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 16) (.f64 2 (sqrt.f64 2))) (/.f64 8 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) 2))) (.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 2 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 2 (sqrt.f64 2))) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))) (/.f64 4 (sqrt.f64 2))) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 a2 2) 8) (.f64 (sqrt.f64 2) 8))
(/.f64 (.f64 (.f64 (pow.f64 a2 2) 4) 8) (.f64 (.f64 (sqrt.f64 2) 4) 8))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 1/4 (sqrt.f64 2))) 4)
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (sqrt.f64 2))) 8) (/.f64 1 (.f64 (sqrt.f64 2) 8)))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) 2))) (/.f64 1/2 (sqrt.f64 2))) 4)
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) 2))) (/.f64 1/4 (sqrt.f64 2))) 8)
(/.f64 (/.f64 (.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 4)) (/.f64 1 (*.f64 (sqrt.f64 2) 8)))
(/.f64 (+.f64 (.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a2 2) 4)) (.f64 2 (.f64 (pow.f64 a2 2) 4))) (.f64 2 (.f64 (sqrt.f64 2) 8)))
(/.f64 (+.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 16) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 16)) 32)
(/.f64 (+.f64 (.f64 (.f64 2 (pow.f64 a2 2)) 8) (.f64 (.f64 2 (pow.f64 a2 2)) 8)) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) 8)) (.f64 2 (.f64 (sqrt.f64 2) 8))))
(/.f64 (+.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 (.f64 (pow.f64 a2 2) 4) (.f64 (sqrt.f64 2) (sqrt.f64 2)))) (/.f64 8 (sqrt.f64 2)))
(/.f64 (.f64 4 (.f64 2 (.f64 (pow.f64 a2 2) 4))) (.f64 4 (*.f64 (sqrt.f64 2) 8)))
(/.f64 (.f64 8 (.f64 2 (.f64 (pow.f64 a2 2) 4))) (.f64 8 (*.f64 (sqrt.f64 2) 8)))
(/.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (*.f64 2 (sqrt.f64 2)))
(/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (sqrt.f64 2)))
(/.f64 (.f64 (sqrt.f64 2) (.f64 2 (pow.f64 a2 2))) (.f64 (sqrt.f64 2) (.f64 2 (sqrt.f64 2))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) 4)) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) 4)))
(/.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (*.f64 2 (sqrt.f64 2)))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) 4))
(/.f64 (.f64 (/.f64 8 (sqrt.f64 2)) (.f64 2 (*.f64 (pow.f64 a2 2) 4))) 64)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) 1/2))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (.f64 (sqrt.f64 2) 4)) (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 4)))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) 2))) (.f64 (sqrt.f64 2) 4)) (/.f64 (/.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 4)))
(/.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (.f64 (sqrt.f64 2) 4)) (/.f64 (/.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 4)))
(/.f64 (.f64 8 (+.f64 (.f64 2 (.f64 (pow.f64 a2 2) 4)) (.f64 2 (.f64 (pow.f64 a2 2) 4)))) (.f64 8 (.f64 2 (.f64 (sqrt.f64 2) 8))))
(/.f64 (.f64 16 (+.f64 (.f64 2 (.f64 (pow.f64 a2 2) 4)) (.f64 2 (.f64 (pow.f64 a2 2) 4)))) (.f64 (.f64 2 (.f64 (sqrt.f64 2) 8)) 16))
(/.f64 (.f64 4 (+.f64 (.f64 2 (.f64 (pow.f64 a2 2) 4)) (.f64 2 (.f64 (pow.f64 a2 2) 4)))) (.f64 4 (.f64 2 (.f64 (sqrt.f64 2) 8))))
(/.f64 (.f64 2 (+.f64 (.f64 2 (.f64 (pow.f64 a2 2) 4)) (.f64 2 (.f64 (pow.f64 a2 2) 4)))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) 8))))
(/.f64 (.f64 16 (.f64 2 (.f64 (pow.f64 a2 2) 4))) (.f64 (*.f64 (sqrt.f64 2) 8) 16))
(/.f64 (.f64 16 (.f64 (pow.f64 a2 2) 4)) (.f64 (.f64 (sqrt.f64 2) 4) 16))
(/.f64 (.f64 32 (.f64 2 (.f64 (pow.f64 a2 2) 4))) (.f64 (*.f64 (sqrt.f64 2) 8) 32))
(/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.f64 (sqrt.f64 2) 4))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2)))) (.f64 2 (*.f64 (sqrt.f64 2) 8)))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 8) (.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2)))) (.f64 8 (*.f64 (sqrt.f64 2) 8)))
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 8)) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 16)) (.f64 16 (.f64 2 (*.f64 (sqrt.f64 2) 8))))
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 8)) (/.f64 (.f64 (.f64 2 (pow.f64 a2 2)) 8) (sqrt.f64 2))) (.f64 16 (.f64 2 (.f64 (sqrt.f64 2) 8))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -2))) (*.f64 -1/2 (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.f64 (sqrt.f64 2) 8))
(/.f64 (.f64 (.f64 (sqrt.f64 2) -2) (/.f64 (neg.f64 (pow.f64 a2 2)) (sqrt.f64 2))) (*.f64 2 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 8) (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2)))) (.f64 4 (*.f64 (sqrt.f64 2) 8)))
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 8)) (.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2)))) (.f64 8 (.f64 2 (*.f64 (sqrt.f64 2) 8))))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 4))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 8) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.f64 2 (*.f64 (sqrt.f64 2) 8)))
(pow.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 1)
(neg.f64 (/.f64 (neg.f64 (pow.f64 a2 2)) (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 (/.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 0 (/.f64 (sqrt.f64 2) 2)))
(/.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) (/.f64 1/2 (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (+.f64 (*.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (/.f64 (.f64 -3 (/.f64 (pow.f64 a2 2) -2)) (.f64 2 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 4)) (/.f64 (.f64 (pow.f64 a2 2) 3/2) (*.f64 2 (sqrt.f64 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 a2 2) 4) (/.f64 (*.f64 (pow.f64 a2 2) 3/2) 2)) (sqrt.f64 2))
(+.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (/.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3/2) 2))
(+.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 4)) (/.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3/2) 2))
(/.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2)))) 4)
(+.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) 3) (.f64 (sqrt.f64 2) 4)))
(+.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 4)) (/.f64 (.f64 (pow.f64 a2 2) 3) (*.f64 (sqrt.f64 2) 4)))
(/.f64 (+.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) 3)) (.f64 (sqrt.f64 2) 4))
(+.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))) 4))
(+.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 4)) (/.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3/2) 2))
(/.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2)))) 4)
(+.f64 (+.f64 (*.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 0 (/.f64 (sqrt.f64 2) 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 -3 (/.f64 (pow.f64 a2 2) -2)) (.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 4)) (/.f64 (.f64 (pow.f64 a2 2) 3/2) (*.f64 2 (sqrt.f64 2))))
(/.f64 (+.f64 (/.f64 (pow.f64 a2 2) 4) (/.f64 (*.f64 (pow.f64 a2 2) 3/2) 2)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3/2) 2) (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 4)) (/.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3/2) 2))
(/.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2)))) 4)
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) 3) (.f64 (sqrt.f64 2) 4)) (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 4)) (/.f64 (.f64 (pow.f64 a2 2) 3) (*.f64 (sqrt.f64 2) 4)))
(/.f64 (+.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) 3)) (.f64 (sqrt.f64 2) 4))
(+.f64 (/.f64 (*.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))) 4) (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 4)) (/.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3/2) 2))
(/.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2)))) 4)
(-.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 0 (/.f64 (sqrt.f64 2) 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 0 (/.f64 (neg.f64 (pow.f64 a2 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) (.f64 (sqrt.f64 2) -2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (*.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 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -2)) (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -4))))
(-.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -2)) (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) -4))))
(-.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -2)) (/.f64 (/.f64 (pow.f64 a2 2) -4) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -4)))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 4))) (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) -4)))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 4))) (/.f64 (/.f64 (pow.f64 a2 2) -4) (sqrt.f64 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 4)) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 1/2)) (/.f64 (/.f64 (pow.f64 a2 2) -4) (sqrt.f64 2)))
(-.f64 (.f64 3 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -4)))
(-.f64 (.f64 (/.f64 (pow.f64 a2 2) 4) (/.f64 3 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -4)))
(-.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3/4) (/.f64 (/.f64 (pow.f64 a2 2) -4) (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 -3 (/.f64 (pow.f64 a2 2) -2)) (.f64 2 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) -4)))
(-.f64 (/.f64 (.f64 (pow.f64 a2 2) 3/2) (.f64 2 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) -4)))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 a2 2) 3/2) (sqrt.f64 2)) 2) (/.f64 (/.f64 (pow.f64 a2 2) -4) (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3/2) 2) (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -4)))
(-.f64 (/.f64 (*.f64 (pow.f64 a2 2) (/.f64 3/2 (sqrt.f64 2))) 2) (/.f64 (/.f64 (pow.f64 a2 2) -4) (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 (pow.f64 a2 2) 3) (.f64 (sqrt.f64 2) 4)) (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) -4)))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 a2 2) 3) (sqrt.f64 2)) 4) (/.f64 (/.f64 (pow.f64 a2 2) -4) (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))) 4) (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -4)))
(-.f64 (/.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 3/2) 2) (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -4)))
(-.f64 (/.f64 (*.f64 (pow.f64 a2 2) (/.f64 3/2 (sqrt.f64 2))) 2) (/.f64 (/.f64 (pow.f64 a2 2) -4) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) 1/2)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) (.f64 (sqrt.f64 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 (sqrt.f64 2) (.f64 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 (/.f64 (sqrt.f64 2) 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 2 (pow.f64 a2 2)) (.f64 2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) 2)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) 1/4)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (/.f64 (*.f64 (sqrt.f64 2) 1/4) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 2) 2) (*.f64 2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) 1/2) (/.f64 (sqrt.f64 2) 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 a2 2) 1/2) (.f64 (sqrt.f64 2) 1/2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 a2 2) 1/2) (.f64 (*.f64 (sqrt.f64 2) 1/2) 1))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (neg.f64 (pow.f64 a2 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (neg.f64 (pow.f64 a2 2)) (sqrt.f64 2)) -1)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 a2 2) 4) (.f64 (sqrt.f64 2) 4))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 a2 2) 4) (.f64 8 (/.f64 (sqrt.f64 2) 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))) 4)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 a2 2) -2) (.f64 (sqrt.f64 2) -2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2))) 8)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) 8) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2))) (/.f64 (.f64 2 (.f64 (sqrt.f64 2) 8)) (.f64 2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 2 (.f64 (pow.f64 a2 2) 4)) (*.f64 (sqrt.f64 2) 8))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (pow.f64 a2 2) 4) (/.f64 (sqrt.f64 2) 4))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) 8)) (/.f64 (/.f64 (sqrt.f64 2) 2) (.f64 (sqrt.f64 2) 4)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (.f64 2 (pow.f64 a2 2)) 8) (.f64 2 (.f64 (sqrt.f64 2) 8)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 16) 16)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 a2 2) 1/4) (.f64 (*.f64 (sqrt.f64 2) 1/2) 1/2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 1/2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 1/4 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) 2))) (/.f64 2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 4 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 8 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (.f64 2 (pow.f64 a2 2)) 8) (sqrt.f64 2)) (/.f64 (.f64 2 (.f64 (sqrt.f64 2) 8)) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 16) (sqrt.f64 2)) (/.f64 16 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) 2))) (sqrt.f64 2)) (/.f64 (/.f64 2 (sqrt.f64 2)) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (sqrt.f64 2)) (/.f64 (/.f64 4 (sqrt.f64 2)) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (pow.f64 a2 2) 4) (/.f64 (sqrt.f64 2) 2)) 8)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 2 (pow.f64 a2 2)) 1/2) (.f64 (sqrt.f64 2) 4))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (pow.f64 a2 2) 1/2) 1/2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) 1/2) (.f64 (sqrt.f64 2) 8))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) 1/2) (/.f64 (.f64 (sqrt.f64 2) 4) 1/2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))) 1/2) 8)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (pow.f64 a2 2) -1/4) (*.f64 (sqrt.f64 2) -4))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 16) (.f64 2 (sqrt.f64 2))) (/.f64 8 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) 2))) (.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 2 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 2 (sqrt.f64 2))) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))) (/.f64 4 (sqrt.f64 2))) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 a2 2) 8) (.f64 (sqrt.f64 2) 8))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (pow.f64 a2 2) 4) 8) (.f64 (.f64 (sqrt.f64 2) 4) 8))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 1/4 (sqrt.f64 2))) 4)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (sqrt.f64 2))) 8) (/.f64 1 (.f64 (sqrt.f64 2) 8)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) 2))) (/.f64 1/2 (sqrt.f64 2))) 4)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) 2))) (/.f64 1/4 (sqrt.f64 2))) 8)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 4)) (/.f64 1 (*.f64 (sqrt.f64 2) 8)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2)))) 16)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a2 2) 4)) (.f64 2 (.f64 (pow.f64 a2 2) 4))) (.f64 2 (.f64 (sqrt.f64 2) 8)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 16) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 16)) 32)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 (.f64 2 (pow.f64 a2 2)) 8) (.f64 (.f64 2 (pow.f64 a2 2)) 8)) (+.f64 (.f64 2 (.f64 (sqrt.f64 2) 8)) (.f64 2 (.f64 (sqrt.f64 2) 8))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (+.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 (.f64 (pow.f64 a2 2) 4) (.f64 (sqrt.f64 2) (sqrt.f64 2)))) (/.f64 8 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 4 (.f64 2 (.f64 (pow.f64 a2 2) 4))) (.f64 4 (*.f64 (sqrt.f64 2) 8)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 8 (.f64 2 (.f64 (pow.f64 a2 2) 4))) (.f64 8 (*.f64 (sqrt.f64 2) 8)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (*.f64 2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (sqrt.f64 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (.f64 2 (pow.f64 a2 2))) (.f64 (sqrt.f64 2) (.f64 2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) 4)) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) 4)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (*.f64 2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) 4))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (/.f64 8 (sqrt.f64 2)) (.f64 2 (*.f64 (pow.f64 a2 2) 4))) 64)
(/.f64 (.f64 (/.f64 8 (sqrt.f64 2)) (.f64 4 (*.f64 2 (pow.f64 a2 2)))) 64)
(/.f64 (.f64 8 (/.f64 (.f64 (pow.f64 a2 2) 8) (sqrt.f64 2))) 64)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (/.f64 1/2 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) 1/2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (.f64 (sqrt.f64 2) 4)) (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 4)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) 2))) (.f64 (sqrt.f64 2) 4)) (/.f64 (/.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 4)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) 4) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (.f64 (sqrt.f64 2) 4)) (/.f64 (/.f64 4 (sqrt.f64 2)) (.f64 (sqrt.f64 2) 4)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 8 (+.f64 (.f64 2 (.f64 (pow.f64 a2 2) 4)) (.f64 2 (.f64 (pow.f64 a2 2) 4)))) (.f64 8 (.f64 2 (.f64 (sqrt.f64 2) 8))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 16 (+.f64 (.f64 2 (.f64 (pow.f64 a2 2) 4)) (.f64 2 (.f64 (pow.f64 a2 2) 4)))) (.f64 (.f64 2 (.f64 (sqrt.f64 2) 8)) 16))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 4 (+.f64 (.f64 2 (.f64 (pow.f64 a2 2) 4)) (.f64 2 (.f64 (pow.f64 a2 2) 4)))) (.f64 4 (.f64 2 (.f64 (sqrt.f64 2) 8))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 2 (+.f64 (.f64 2 (.f64 (pow.f64 a2 2) 4)) (.f64 2 (.f64 (pow.f64 a2 2) 4)))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) 8))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 16 (.f64 2 (.f64 (pow.f64 a2 2) 4))) (.f64 (*.f64 (sqrt.f64 2) 8) 16))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 16 (.f64 (pow.f64 a2 2) 4)) (.f64 (.f64 (sqrt.f64 2) 4) 16))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 32 (.f64 2 (.f64 (pow.f64 a2 2) 4))) (.f64 (*.f64 (sqrt.f64 2) 8) 32))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.f64 (sqrt.f64 2) 4))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2)))) (.f64 2 (*.f64 (sqrt.f64 2) 8)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 8) (.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2)))) (.f64 8 (*.f64 (sqrt.f64 2) 8)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 8)) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 16)) (.f64 16 (.f64 2 (*.f64 (sqrt.f64 2) 8))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 8)) (/.f64 (.f64 (.f64 2 (pow.f64 a2 2)) 8) (sqrt.f64 2))) (.f64 16 (.f64 2 (.f64 (sqrt.f64 2) 8))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 2) -2))) (*.f64 -1/2 (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 (pow.f64 a2 2) (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 2) -2))) (*.f64 (neg.f64 (sqrt.f64 2)) -1/2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 0 (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.f64 (sqrt.f64 2) 8))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (sqrt.f64 2) -2) (/.f64 (neg.f64 (pow.f64 a2 2)) (sqrt.f64 2))) (*.f64 2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 8) (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2)))) (.f64 4 (*.f64 (sqrt.f64 2) 8)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 8)) (.f64 (pow.f64 a2 2) (/.f64 8 (sqrt.f64 2)))) (.f64 8 (.f64 2 (*.f64 (sqrt.f64 2) 8))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 4))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 8) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.f64 2 (*.f64 (sqrt.f64 2) 8)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(pow.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(neg.f64 (/.f64 (neg.f64 (pow.f64 a2 2)) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))

eval1.6s (3.4%)

Compiler: Compiled 23597 to 13404 computations (43.2% saved)

prune1.1s (2.4%)

Pruning

39 alts after pruning (28 fresh and 11 done)

	Pruned	Kept	Total
New	1074	20	1094
Fresh	6	8	14
Picked	0	1	1
Done	1	10	11
Total	1081	39	1120

Error

Counts

1120 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	39.6b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
✓	39.7b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	39.6b	(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) 1/4)
	25.5b	(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 2 (sqrt.f64 2))) 1/2)
	25.5b	(/.f64 (-.f64 (-.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) (.f64 a2 a2)) (sqrt.f64 2))
	25.5b	(/.f64 (-.f64 (+.f64 (.f64 a2 (+.f64 a2 a2)) (/.f64 (.f64 a2 a2) 2)) (+.f64 (-.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) 2)) (.f64 a2 a2))) (sqrt.f64 2))
	25.8b	(/.f64 (-.f64 (.f64 a2 (.f64 a2 6)) (+.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 (*.f64 a2 5)))) (sqrt.f64 2))
✓	25.6b	(/.f64 (-.f64 (.f64 a2 (.f64 a2 3)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (sqrt.f64 2))
	25.8b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (-.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -3))) (sqrt.f64 2))
	25.7b	(/.f64 (+.f64 (-.f64 (.f64 a2 (.f64 a2 6)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (neg.f64 (.f64 a2 (.f64 a2 3)))) (sqrt.f64 2))
	34.8b	(/.f64 (+.f64 (-.f64 (.f64 a2 a2) (-.f64 -1 (.f64 a1 a1))) -1) (sqrt.f64 2))
	25.7b	(/.f64 (+.f64 (.f64 a1 a1) (-.f64 (.f64 (.f64 a2 a2) 6) (.f64 a2 (*.f64 a2 5)))) (sqrt.f64 2))
✓	25.5b	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
	0.5b	(/.f64 (.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2))) (/.f64 -2 (sqrt.f64 2)))
✓	0.4b	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))
	25.9b	(/.f64 (.f64 1/2 (-.f64 (.f64 (.f64 a2 a2) 12) (+.f64 (.f64 a1 (.f64 a1 -2)) (.f64 (*.f64 a2 a2) 10)))) (sqrt.f64 2))
	26.0b	(/.f64 (.f64 1/2 (-.f64 (.f64 a2 (.f64 (+.f64 a2 a2) 6)) (+.f64 (.f64 (.f64 a1 a1) -2) (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 6 (*.f64 a2 a2)))))) (sqrt.f64 2))
	25.6b	(-.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) (sqrt.f64 2)) (.f64 a2 (/.f64 (*.f64 a2 -3) (sqrt.f64 2))))
	25.8b	(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -4))
✓	25.5b	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
	39.7b	(*.f64 (pow.f64 a1 2) (/.f64 1 (sqrt.f64 2)))
	0.5b	(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	39.6b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
	25.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) (.f64 (.f64 a2 a2) -3)) (/.f64 (.f64 a2 a2) 2)))) (.f64 a2 a2)))
	30.0b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (-.f64 (.f64 a2 (.f64 a2 3)) 1) -1))) (.f64 a2 a2)))
	25.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (-.f64 (.f64 2 (.f64 a2 (.f64 a2 3))) (.f64 a2 (neg.f64 a2))) (.f64 a2 (.f64 a2 4))))) (.f64 a2 a2)))
	25.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (+.f64 (/.f64 (.f64 a2 a2) 2) (.f64 a2 (.f64 a2 4))) (-.f64 (.f64 a2 (+.f64 a2 a2)) (/.f64 (.f64 a2 a2) 2))))) (*.f64 a2 a2)))
	25.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (+.f64 (/.f64 (.f64 a2 a2) 2) (.f64 2 (.f64 a2 (.f64 a2 3)))) (-.f64 (.f64 a2 (.f64 a2 4)) (/.f64 (.f64 a2 a2) 2))))) (*.f64 a2 a2)))
	25.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (+.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 4))) (.f64 a2 (+.f64 a2 a2))))) (.f64 a2 a2)))
	25.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (.f64 a2 (.f64 a2 4)) (+.f64 (.f64 a2 (.f64 -2 a2)) (.f64 a2 (.f64 a2 3)))))) (.f64 a2 a2)))
	25.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (.f64 (.f64 a2 3) a2))) (.f64 a2 a2)))
	29.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (+.f64 (-.f64 1 (.f64 a2 (+.f64 a2 a2))) -1)) (.f64 a2 a2)))
	25.6b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (.f64 a2 (-.f64 a2 (.f64 a2 3)))) (*.f64 a2 a2)))
✓	25.5b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	25.5b	(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 1/2 (sqrt.f64 2)))
✓	0.5b	(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	0.5b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
✓	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))

Compiler

Compiled 887 to 604 computations (31.9% saved)

regimes845.0ms (1.8%)

Counts

60 → 1

Calls

Call 1

Inputs
(/.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 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (+.f64 (.f64 a2 a2) 1) (+.f64 -1 (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (+.f64 (-.f64 (.f64 a2 a2) (-.f64 -1 (.f64 a1 a1))) -1) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 2 (sqrt.f64 2))) 1/2)
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 4)) 1/4)
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 2 (sqrt.f64 2))) 1/2)
(/.f64 (-.f64 (-.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) (*.f64 a2 a2)))
(/.f64 (+.f64 (.f64 a1 a1) (-.f64 (.f64 (.f64 a2 a2) 6) (.f64 a2 (*.f64 a2 5)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 a2 (.f64 a2 3)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 a2 (.f64 a2 6)) (+.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 (*.f64 a2 5)))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a2 (.f64 a2 3)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (*.f64 a1 a1))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (.f64 a2 (-.f64 a2 (.f64 a2 3)))) (*.f64 a2 a2)))
(/.f64 (-.f64 (.f64 (.f64 a2 a2) 3) (+.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 a2 a2))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 a2 a2) 3) (+.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (+.f64 (-.f64 1 (.f64 a2 (+.f64 a2 a2))) -1)) (.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (.f64 (.f64 a2 3) a2))) (.f64 a2 a2)))
(/.f64 (.f64 1/2 (-.f64 (.f64 (.f64 a2 a2) 12) (+.f64 (.f64 a1 (.f64 a1 -2)) (.f64 (*.f64 a2 a2) 10)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (-.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -3))) (sqrt.f64 2))
(/.f64 (+.f64 (-.f64 (.f64 a2 (.f64 a2 6)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (neg.f64 (.f64 a2 (.f64 a2 3)))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a2 a2)))) (*.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (-.f64 (.f64 a2 (.f64 a2 3)) 1) -1))) (.f64 a2 a2)))
(/.f64 (-.f64 (-.f64 (.f64 a1 (.f64 a1 2)) (.f64 (.f64 a2 a2) -4)) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 2))))) (sqrt.f64 2))
(/.f64 (.f64 1/2 (-.f64 (.f64 a2 (.f64 (+.f64 a2 a2) 6)) (+.f64 (.f64 (.f64 a1 a1) -2) (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 6 (*.f64 a2 a2)))))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (+.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 4))) (.f64 a2 (+.f64 a2 a2))))) (.f64 a2 a2)))
(/.f64 (-.f64 (+.f64 (.f64 a2 (+.f64 a2 a2)) (/.f64 (.f64 a2 a2) 2)) (+.f64 (-.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) 2)) (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a2 (+.f64 a2 a2)) (/.f64 (.f64 a2 a2) 2)) (+.f64 (-.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) 2)) (*.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (.f64 a2 (.f64 a2 4)) (+.f64 (.f64 a2 (.f64 -2 a2)) (.f64 a2 (.f64 a2 3)))))) (.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) (.f64 (.f64 a2 a2) -3)) (/.f64 (.f64 a2 a2) 2)))) (.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (-.f64 (.f64 2 (.f64 a2 (.f64 a2 3))) (.f64 a2 (neg.f64 a2))) (.f64 a2 (.f64 a2 4))))) (.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (+.f64 (/.f64 (.f64 a2 a2) 2) (.f64 a2 (.f64 a2 4))) (-.f64 (.f64 a2 (+.f64 a2 a2)) (/.f64 (.f64 a2 a2) 2))))) (*.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (+.f64 (/.f64 (.f64 a2 a2) 2) (.f64 2 (.f64 a2 (.f64 a2 3)))) (-.f64 (.f64 a2 (.f64 a2 4)) (/.f64 (.f64 a2 a2) 2))))) (*.f64 a2 a2)))
(/.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 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
(*.f64 (pow.f64 a1 2) (/.f64 1 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) 1/4)
(.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 (.f64 a1 a1) (sqrt.f64 2)) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2))) (/.f64 -2 (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) 2) (/.f64 1 (sqrt.f64 2))))
(-.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) (sqrt.f64 2)) (.f64 a2 (/.f64 (*.f64 a2 -3) (sqrt.f64 2))))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -4))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(/.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) 4)
(.f64 (cos.f64 th) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) -4)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 a1 (cos.f64 th))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1 (sqrt.f64 2))))
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)) (.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (neg.f64 (sqrt.f64 2)))

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

Calls

8 calls:

142.0ms	a1
118.0ms	th
116.0ms	a2
112.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
100.0ms	(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 1242 to 640 computations (48.5% saved)

regimes1.1s (2.4%)

Counts

53 → 1

Calls

Call 1

Inputs
(/.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 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (+.f64 (.f64 a2 a2) 1) (+.f64 -1 (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (+.f64 (-.f64 (.f64 a2 a2) (-.f64 -1 (.f64 a1 a1))) -1) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 2 (sqrt.f64 2))) 1/2)
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 4)) 1/4)
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 2 (sqrt.f64 2))) 1/2)
(/.f64 (-.f64 (-.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) (*.f64 a2 a2)))
(/.f64 (+.f64 (.f64 a1 a1) (-.f64 (.f64 (.f64 a2 a2) 6) (.f64 a2 (*.f64 a2 5)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 a2 (.f64 a2 3)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 a2 (.f64 a2 6)) (+.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 (*.f64 a2 5)))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a2 (.f64 a2 3)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (*.f64 a1 a1))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (.f64 a2 (-.f64 a2 (.f64 a2 3)))) (*.f64 a2 a2)))
(/.f64 (-.f64 (.f64 (.f64 a2 a2) 3) (+.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 a2 a2))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 a2 a2) 3) (+.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (+.f64 (-.f64 1 (.f64 a2 (+.f64 a2 a2))) -1)) (.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (.f64 (.f64 a2 3) a2))) (.f64 a2 a2)))
(/.f64 (.f64 1/2 (-.f64 (.f64 (.f64 a2 a2) 12) (+.f64 (.f64 a1 (.f64 a1 -2)) (.f64 (*.f64 a2 a2) 10)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (-.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -3))) (sqrt.f64 2))
(/.f64 (+.f64 (-.f64 (.f64 a2 (.f64 a2 6)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (neg.f64 (.f64 a2 (.f64 a2 3)))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a2 a2)))) (*.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (-.f64 (.f64 a2 (.f64 a2 3)) 1) -1))) (.f64 a2 a2)))
(/.f64 (-.f64 (-.f64 (.f64 a1 (.f64 a1 2)) (.f64 (.f64 a2 a2) -4)) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 2))))) (sqrt.f64 2))
(/.f64 (.f64 1/2 (-.f64 (.f64 a2 (.f64 (+.f64 a2 a2) 6)) (+.f64 (.f64 (.f64 a1 a1) -2) (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 6 (*.f64 a2 a2)))))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (+.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 4))) (.f64 a2 (+.f64 a2 a2))))) (.f64 a2 a2)))
(/.f64 (-.f64 (+.f64 (.f64 a2 (+.f64 a2 a2)) (/.f64 (.f64 a2 a2) 2)) (+.f64 (-.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) 2)) (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a2 (+.f64 a2 a2)) (/.f64 (.f64 a2 a2) 2)) (+.f64 (-.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) 2)) (*.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (.f64 a2 (.f64 a2 4)) (+.f64 (.f64 a2 (.f64 -2 a2)) (.f64 a2 (.f64 a2 3)))))) (.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) (.f64 (.f64 a2 a2) -3)) (/.f64 (.f64 a2 a2) 2)))) (.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (-.f64 (.f64 2 (.f64 a2 (.f64 a2 3))) (.f64 a2 (neg.f64 a2))) (.f64 a2 (.f64 a2 4))))) (.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (+.f64 (/.f64 (.f64 a2 a2) 2) (.f64 a2 (.f64 a2 4))) (-.f64 (.f64 a2 (+.f64 a2 a2)) (/.f64 (.f64 a2 a2) 2))))) (*.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (+.f64 (/.f64 (.f64 a2 a2) 2) (.f64 2 (.f64 a2 (.f64 a2 3)))) (-.f64 (.f64 a2 (.f64 a2 4)) (/.f64 (.f64 a2 a2) 2))))) (*.f64 a2 a2)))
(/.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 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
(*.f64 (pow.f64 a1 2) (/.f64 1 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) 1/4)
(.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 (.f64 a1 a1) (sqrt.f64 2)) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 2 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (-.f64 (neg.f64 (.f64 a1 a1)) (*.f64 a2 a2))) (/.f64 -2 (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) 2) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) 2) (/.f64 1 (sqrt.f64 2))))
(-.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) (sqrt.f64 2)) (.f64 a2 (/.f64 (*.f64 a2 -3) (sqrt.f64 2))))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) -4))

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

Calls

7 calls:

413.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
237.0ms	a2
107.0ms	th
87.0ms	(cos.f64 th)
69.0ms	a1

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 1077 to 552 computations (48.7% saved)

regimes614.0ms (1.3%)

Accuracy

Total -28.5b remaining (-112%)

Threshold costs -28.5b (-112%)

Counts

40 → 1

Calls

Call 1

Inputs
(/.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 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (+.f64 (.f64 a2 a2) 1) (+.f64 -1 (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (+.f64 (-.f64 (.f64 a2 a2) (-.f64 -1 (.f64 a1 a1))) -1) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 2 (sqrt.f64 2))) 1/2)
(/.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (sqrt.f64 2) 4)) 1/4)
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 2 (sqrt.f64 2))) 1/2)
(/.f64 (-.f64 (-.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -2)) (*.f64 a2 a2)))
(/.f64 (+.f64 (.f64 a1 a1) (-.f64 (.f64 (.f64 a2 a2) 6) (.f64 a2 (*.f64 a2 5)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 a2 (.f64 a2 3)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 a2 (.f64 a2 6)) (+.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 (*.f64 a2 5)))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a2 (.f64 a2 3)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (*.f64 a1 a1))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (.f64 a2 (-.f64 a2 (.f64 a2 3)))) (*.f64 a2 a2)))
(/.f64 (-.f64 (.f64 (.f64 a2 a2) 3) (+.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 a2 a2))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (.f64 a2 a2) 3) (+.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (+.f64 (-.f64 1 (.f64 a2 (+.f64 a2 a2))) -1)) (.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (.f64 (.f64 a2 3) a2))) (.f64 a2 a2)))
(/.f64 (.f64 1/2 (-.f64 (.f64 (.f64 a2 a2) 12) (+.f64 (.f64 a1 (.f64 a1 -2)) (.f64 (*.f64 a2 a2) 10)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (-.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) -3))) (sqrt.f64 2))
(/.f64 (+.f64 (-.f64 (.f64 a2 (.f64 a2 6)) (-.f64 (.f64 a2 (+.f64 a2 a2)) (.f64 a1 a1))) (neg.f64 (.f64 a2 (.f64 a2 3)))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a2 a2)))) (*.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (-.f64 (.f64 a2 (.f64 a2 3)) 1) -1))) (.f64 a2 a2)))
(/.f64 (-.f64 (-.f64 (.f64 a1 (.f64 a1 2)) (.f64 (.f64 a2 a2) -4)) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 2))))) (sqrt.f64 2))
(/.f64 (.f64 1/2 (-.f64 (.f64 a2 (.f64 (+.f64 a2 a2) 6)) (+.f64 (.f64 (.f64 a1 a1) -2) (+.f64 (.f64 (.f64 a2 a2) 4) (.f64 6 (*.f64 a2 a2)))))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (+.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 4))) (.f64 a2 (+.f64 a2 a2))))) (.f64 a2 a2)))
(/.f64 (-.f64 (+.f64 (.f64 a2 (+.f64 a2 a2)) (/.f64 (.f64 a2 a2) 2)) (+.f64 (-.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) 2)) (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a2 (+.f64 a2 a2)) (/.f64 (.f64 a2 a2) 2)) (+.f64 (-.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) 2)) (*.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (.f64 a2 (.f64 a2 4)) (+.f64 (.f64 a2 (.f64 -2 a2)) (.f64 a2 (.f64 a2 3)))))) (.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (-.f64 (/.f64 (.f64 a2 a2) 2) (.f64 (.f64 a2 a2) -3)) (/.f64 (.f64 a2 a2) 2)))) (.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (-.f64 (.f64 2 (.f64 a2 (.f64 a2 3))) (.f64 a2 (neg.f64 a2))) (.f64 a2 (.f64 a2 4))))) (.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (+.f64 (/.f64 (.f64 a2 a2) 2) (.f64 a2 (.f64 a2 4))) (-.f64 (.f64 a2 (+.f64 a2 a2)) (/.f64 (.f64 a2 a2) 2))))) (*.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 a1 a1) (-.f64 (.f64 a2 a2) (-.f64 (+.f64 (/.f64 (.f64 a2 a2) 2) (.f64 2 (.f64 a2 (.f64 a2 3)))) (-.f64 (.f64 a2 (.f64 a2 4)) (/.f64 (.f64 a2 a2) 2))))) (*.f64 a2 a2)))
(/.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 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
(*.f64 (pow.f64 a1 2) (/.f64 1 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (pow.f64 a2 2) 4) (sqrt.f64 2)) 1/4)

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

Calls

5 calls:

333.0ms	th
79.0ms	a2
51.0ms	a1
45.0ms	(*.f64 a2 a2)
45.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
25.5b	1	`a1`
25.5b	1	`a2`
25.5b	1	`th`
25.5b	1	`(*.f64 a1 a1)`
25.5b	1	`(*.f64 a2 a2)`

Compiler

Compiled 856 to 447 computations (47.8% saved)

simplify4.0ms (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 a2 (/.f64 a2 (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (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 a2 (/.f64 a2 (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (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)

soundness0.0ms (0%)

end170.0ms (0.4%)

Remove: (sort a1 a2)
Compiler: Compiled 80 to 52 computations (35% saved)