Details

analyze336.0ms (1.3%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample3.9s (15%)

Results

1.1s	1835×	body	1024	valid
998.0ms	5482×	body	256	valid
671.0ms	1483×	body	1024	infinite
379.0ms	937×	body	512	valid
333.0ms	1484×	body	256	infinite
319.0ms	779×	body	512	infinite
1.0ms	2×	body	2048	valid

Bogosity

preprocess87.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1266×	`rational.json-simplify-19`
1222×	`rational.json-simplify-51`
976×	`rational.json-simplify-1`
956×	`rational.json-simplify-46`
904×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	236
1	63	156
2	123	156
3	236	156
4	797	156
5	3628	156
6	6937	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 (.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 (.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 a2 a2) (*.f64 th th)))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 th th)))
(+.f64 (.f64 a1 (.f64 a1 (/.f64 (cos.f64 a2) (sqrt.f64 2)))) (.f64 (.f64 th th) (/.f64 (cos.f64 a2) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (+.f64 (.f64 th th) (*.f64 a1 a1)))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 th th)))

Symmetry

(sort a1 a2)

Compiler

Compiled 25 to 18 computations (28% saved)

simplify122.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1172×	`rational.json-simplify-2`
934×	`rational.json-simplify-44`
816×	`rational.json-simplify-47`
806×	`rational.json-simplify-39`
720×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	29	39
2	55	39
3	114	39
4	460	39
5	4355	39
6	6814	39
7	7978	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 a2 a2) (*.f64 a1 a1)))

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.4b

Counts

4 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 17 computations (59.5% saved)

series8.0ms (0%)

Counts

3 → 64

Calls

18 calls:

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

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1712×	`rational.json-simplify-35`
1134×	`exponential.json-3`
1134×	`rational.json-1`
1134×	`rational.json-2`
1134×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	95	73
2	220	73
3	625	73
4	2703	73

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

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

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

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

simplify110.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1668×	`rational.json-simplify-51`
1182×	`rational.json-simplify-41`
820×	`rational.json-simplify-2`
746×	`rational.json-simplify-1`
690×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	5220
1	709	5208
2	2775	5184
3	4879	5184

Stop Event

1×	node limit

Counts

170 → 159

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 59 to 29 computations (50.8% saved)

series11.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1338×	`exponential.json-3`
1338×	`rational.json-1`
1338×	`rational.json-2`
1338×	`rational.json-4`
1338×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	113
1	106	93
2	256	93
3	717	93
4	3087	93

Stop Event

1×	node limit

Counts

3 → 125

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)))

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

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

simplify143.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1488×	`rational.json-simplify-50`
1048×	`rational.json-simplify-35`
962×	`rational.json-simplify-1`
896×	`rational.json-simplify-41`
686×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	363	8507
1	1245	8471
2	4121	7723
3	6455	7657

Stop Event

1×	node limit

Counts

209 → 216

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

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 -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 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (/.f64 (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 -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 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 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2))) (+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2)))) (.f64 -1/720 (.f64 (pow.f64 a1 2) (/.f64 (pow.f64 th 6) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1/720 (.f64 (pow.f64 a1 2) (/.f64 (pow.f64 th 6) (sqrt.f64 2))))) (.f64 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a1 th) 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1/720 (.f64 (pow.f64 a1 2) (/.f64 (pow.f64 th 6) (sqrt.f64 2)))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
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eval163.0ms (0.6%)

Compiler: Compiled 12261 to 6867 computations (44% saved)

prune94.0ms (0.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	453	16	469
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	454	17	471

Error

0.1b

Counts

471 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 1 (cos.f64 th)))
	36.8b	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 2) (cos.f64 th))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.6b	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	0.4b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	36.8b	(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
	0.6b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	0.7b	(+.f64 (/.f64 (/.f64 1 (/.f64 1 (.f64 a1 a1))) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (/.f64 1 a2) a2))))
	11.7b	(+.f64 (/.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (/.f64 a1 a1)) (.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
▶	0.7b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 1 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 1 (.f64 a2 a2)))))
	0.4b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))))
▶	45.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1))) (.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1)))))
	0.6b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 2 (+.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	25.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	0.5b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
▶	0.4b	(.f64 (cos.f64 th) (+.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))

Compiler

Compiled 756 to 487 computations (35.6% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
✓	0.2b	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
✓	0.4b	(/.f64 a2 (sqrt.f64 2))
✓	0.5b	(/.f64 a1 (sqrt.f64 2))

Compiler

Compiled 60 to 40 computations (33.3% saved)

series3.0ms (0%)

Counts

4 → 24

Calls

12 calls:

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

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`rational.json-1`
1382×	`rational.json-2`
1382×	`rational.json-4`
1382×	`rational.json-3`
1368×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	75	56
2	176	56
3	435	56
4	1242	56
5	4035	56

Stop Event

1×	node limit

Counts

4 → 186

Calls

Call 1

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

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

simplify129.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1306×	`rational.json-simplify-2`
1236×	`rational.json-simplify-46`
924×	`rational.json-simplify-1`
806×	`rational.json-simplify-35`
804×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	365	3330
1	1133	3270
2	3027	3210
3	5067	3210
4	7243	3210

Stop Event

1×	node limit

Counts

210 → 201

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 19 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`rational.json-simplify-35`
966×	`exponential.json-3`
966×	`rational.json-1`
966×	`rational.json-2`
966×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	95	40
2	203	40
3	523	40
4	2321	40
5	7498	40

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify97.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

974×	`rational.json-simplify-2`
906×	`rational.json-simplify-53`
870×	`rational.json-simplify-1`
814×	`rational.json-simplify-35`
700×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	2172
1	377	2172
2	1012	2172
3	3568	2172
4	6791	2172

Stop Event

1×	node limit

Counts

78 → 58

Calls

Call 1

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

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

localize18.0ms (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 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	0.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 54 to 21 computations (61.1% saved)

series3.0ms (0%)

Counts

3 → 96

Calls

24 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 1 (sqrt.f64 2)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
0.0ms	a1	@	inf	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
0.0ms	a2	@	inf	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
0.0ms	th	@	inf	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`rational.json-simplify-35`
1080×	`exponential.json-3`
1080×	`rational.json-1`
1080×	`rational.json-2`
1080×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	93
1	118	87
2	261	87
3	663	87
4	2652	87

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (#(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 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 (sqrt.f64 2) (*.f64 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simplify118.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1772×	`rational.json-simplify-35`
1258×	`rational.json-simplify-2`
770×	`rational.json-simplify-1`
456×	`rational.json-simplify-38`
452×	`rational.json-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	5785
1	737	5785
2	2718	5737
3	6271	5737

Stop Event

1×	node limit

Counts

187 → 141

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

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

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1))) (.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1)))))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))
✓	6.4b	(.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (*.f64 a1 a1)))
✓	44.1b	(/.f64 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1))) (.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (*.f64 a1 a1))))

Compiler

Compiled 107 to 53 computations (50.5% saved)

series15.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`exponential.json-3`
1290×	`rational.json-1`
1290×	`rational.json-2`
1290×	`rational.json-4`
1290×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	137
1	154	83
2	471	83
3	2372	83

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify123.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1190×	`rational.json-simplify-35`
822×	`rational.json-simplify-38`
786×	`rational.json-simplify-44`
708×	`rational.json-simplify-47`
552×	`rational.json-simplify-40`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	379	8758
1	1385	8596
2	5457	7952

Stop Event

1×	node limit

Counts

230 → 221

Calls

Call 1

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

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 89 to 49 computations (44.9% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1586×	`exponential.json-3`
1586×	`rational.json-1`
1586×	`rational.json-2`
1586×	`rational.json-4`
1586×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	72
1	110	54
2	300	54
3	1013	54
4	3808	54

Stop Event

1×	node limit

Counts

2 → 208

Calls

Call 1

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

Outputs

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

simplify122.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1600×	`rational.json-simplify-35`
1052×	`rational.json-simplify-50`
916×	`rational.json-simplify-44`
792×	`rational.json-simplify-47`
690×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	518	8220
1	1884	7962
2	6338	7948

Stop Event

1×	node limit

Counts

256 → 294

Calls

Call 1

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

Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (.f64 1/24 (.f64 (pow.f64 a2 2) (/.f64 (pow.f64 th 4) (sqrt.f64 2))))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (.f64 -1/720 (.f64 (pow.f64 th 6) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 a2 2) (/.f64 (pow.f64 th 4) (sqrt.f64 2)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (.f64 (pow.f64 th 6) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) -1/720)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (+.f64 (.f64 (pow.f64 th 6) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) -1/720)) (.f64 1/24 (.f64 (pow.f64 a2 2) (/.f64 (pow.f64 th 4) (sqrt.f64 2)))))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (pow.f64 a2 2))) (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (pow.f64 a2 2))))
(+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 th 2) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) 1/2)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))) (pow.f64 th 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (pow.f64 a2 2))) (/.f64 (sqrt.f64 2) (pow.f64 a2 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (pow.f64 a2 2))) (+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 -1 (.f64 (pow.f64 th 4) (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) -1/4))))))
(+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) (+.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) -5/24) (neg.f64 (pow.f64 th 4))) (.f64 (pow.f64 th 2) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) 1/2))))
(+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) (+.f64 (.f64 (pow.f64 th 2) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) 1/2)) (.f64 (pow.f64 th 4) (neg.f64 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) -5/24)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))) (pow.f64 th 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (pow.f64 a2 2))) (+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a2 2))))) (+.f64 (.f64 -1/720 (/.f64 (sqrt.f64 2) (pow.f64 a2 2))) (*.f64 1/48 (/.f64 (sqrt.f64 2) (pow.f64 a2 2))))) (pow.f64 th 6))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 th 4) (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) -1/4)))) (+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 th 6) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) -1/4))) (+.f64 (.f64 -1/720 (/.f64 (sqrt.f64 2) (pow.f64 a2 2))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) 1/48))))) (.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 th 2)) (pow.f64 a2 2))))))
(+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) (+.f64 (+.f64 (.f64 (pow.f64 th 2) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) 1/2)) (.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) -5/24)) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) 7/360)) (neg.f64 (pow.f64 th 6)))) (.f64 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) -5/24) (neg.f64 (pow.f64 th 4)))))
(+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) (+.f64 (.f64 (pow.f64 th 4) (neg.f64 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) -5/24))) (+.f64 (.f64 (pow.f64 th 2) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) 1/2)) (.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) -5/24)) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)) 7/360)) (neg.f64 (pow.f64 th 6))))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 0)
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(+.f64 0 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(-.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 0)
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 1 (.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 2 (/.f64 (cos.f64 th) (.f64 2 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(.f64 2 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) (/.f64 2 (*.f64 a2 a2)))))
(.f64 2 (/.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 2) (/.f64 2 (cos.f64 th)))))
(.f64 2 (/.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 2 (cos.f64 th))))
(*.f64 2 (/.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 2 (cos.f64 th))))
(.f64 2 (/.f64 a2 (.f64 2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2))))
(.f64 2 (/.f64 a2 (.f64 2 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) a2)))))
(*.f64 2 (/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 a2 2))))
(.f64 2 (/.f64 (.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2))
(.f64 2 (.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 a2 2)))
(.f64 2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) 2)))
(.f64 (cos.f64 th) (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (/.f64 1 (sqrt.f64 2))))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (/.f64 1 (sqrt.f64 2))))
(.f64 (cos.f64 th) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cos.f64 th) (/.f64 2 (.f64 2 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(.f64 (cos.f64 th) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 a2 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2)))
(.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) a2))))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 a2 (.f64 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2)) 1))
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(.f64 1/2 (/.f64 2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))))
(/.f64 (neg.f64 (.f64 2 (.f64 2 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) (neg.f64 (.f64 (cos.f64 th) 4)))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (.f64 2 (/.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (-.f64 0 (.f64 2 (.f64 a2 (.f64 a2 4)))))
(.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) 4)) (/.f64 2 (.f64 2 (.f64 a2 (.f64 a2 4)))))
(/.f64 (.f64 2 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) 2))) (.f64 a2 (*.f64 a2 4)))
(.f64 2 (/.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) 4)) (.f64 a2 (*.f64 a2 8))))
(/.f64 (neg.f64 (.f64 2 (.f64 2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2)))) (-.f64 0 (*.f64 a2 4)))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (.f64 2 (/.f64 (.f64 (sqrt.f64 2) 4) (.f64 a2 a2)))) (-.f64 0 (.f64 2 (*.f64 (cos.f64 th) 4))))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (.f64 2 (.f64 -1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2)))) (-.f64 0 (*.f64 2 (neg.f64 a2))))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (.f64 2 (/.f64 (sqrt.f64 2) (.f64 a2 (neg.f64 a2))))) (-.f64 0 (*.f64 2 (neg.f64 (cos.f64 th)))))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (*.f64 2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (fabs.f64 a2)))) (-.f64 0 (fabs.f64 (+.f64 a2 a2))))
(.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (fabs.f64 a2))) (/.f64 2 (fabs.f64 (+.f64 a2 a2))))
(.f64 2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (fabs.f64 a2))) (fabs.f64 (+.f64 a2 a2))))
(/.f64 (neg.f64 (/.f64 1 (.f64 a2 (+.f64 a2 a2)))) (-.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1/2)))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 a2 a2))) (-.f64 0 (*.f64 a2 1/2)))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (/.f64 (/.f64 1 (.f64 a2 a2)) (.f64 2 (cos.f64 th)))) (-.f64 0 (/.f64 1/2 (sqrt.f64 2))))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (/.f64 (/.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)) (neg.f64 (*.f64 a2 (+.f64 a2 a2))))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (/.f64 (.f64 2 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) 2)) (neg.f64 (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 2) 4) (.f64 a2 a2)) 2)) (neg.f64 (*.f64 2 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2))) a2)
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (.f64 a2 (.f64 a2 4)))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2)))) (+.f64 a2 a2))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) (cos.f64 th))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) (*.f64 2 (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))) (neg.f64 (neg.f64 (*.f64 2 (cos.f64 th)))))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 2) 4) (.f64 a2 a2)))) (*.f64 (cos.f64 th) 4))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (neg.f64 a2))))) (neg.f64 (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (fabs.f64 a2)))) (fabs.f64 a2))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(pow.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))) 1)
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(neg.f64 (neg.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))
(neg.f64 (/.f64 (/.f64 1 (*.f64 a2 a2)) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))

eval403.0ms (1.6%)

Compiler: Compiled 30151 to 17543 computations (41.8% saved)

prune5.1s (20.1%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	1120	17	1137
Fresh	8	3	11
Picked	1	0	1
Done	2	3	5
Total	1131	23	1154

Error

Counts

1154 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	41.2b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
	39.2b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	50.0b	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.6b	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	0.4b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶	25.9b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	50.0b	(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	0.4b	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
	25.9b	(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 2)
	0.4b	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))
▶	0.6b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	26.1b	(/.f64 2 (.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	26.1b	(/.f64 1 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	45.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1))) (/.f64 (/.f64 (/.f64 1 (.f64 a2 a2)) a1) a1)))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	39.2b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a1 2))
	53.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1))) (.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1)))))
▶	26.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 2 (+.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
▶	50.0b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
✓	25.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.5b	(.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) 1/2)
▶	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
✓	0.4b	(.f64 (cos.f64 th) (+.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))

Compiler

Compiled 826 to 534 computations (35.4% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 47 to 17 computations (63.8% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite62.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`rational.json-simplify-35`
1154×	`exponential.json-3`
1154×	`rational.json-1`
1154×	`rational.json-2`
1154×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	95	68
2	224	68
3	642	68
4	2726	68

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(/.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)))

Outputs

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

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

simplify125.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1144×	`rational.json-simplify-2`
1042×	`rational.json-simplify-51`
926×	`rational.json-simplify-35`
828×	`rational.json-simplify-41`
616×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	4606
1	482	4606
2	1230	4606
3	3785	4606
4	6726	4606

Stop Event

1×	node limit

Counts

122 → 99

Calls

Call 1

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

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

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 12 computations (61.3% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 101 to 40 computations (60.4% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1682×	`exponential.json-3`
1682×	`rational.json-1`
1682×	`rational.json-2`
1682×	`rational.json-4`
1682×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	163
1	121	97
2	290	73
3	824	73
4	4226	73

Stop Event

1×	node limit

Counts

3 → 182

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify182.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1464×	`rational.json-simplify-35`
1310×	`rational.json-simplify-2`
1020×	`rational.json-simplify-46`
1004×	`rational.json-simplify-49`
814×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	7496
1	1290	7448
2	5996	7442

Stop Event

1×	node limit

Counts

254 → 216

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
✓	0.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	1.0b	(/.f64 1 (sqrt.f64 2))
✓	33.5b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))

Compiler

Compiled 119 to 25 computations (79% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite181.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`rational.json-simplify-44`
960×	`rational.json-simplify-59`
928×	`rational.json-simplify-47`
868×	`rational.json-simplify-51`
624×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	217
1	122	211
2	306	73
3	1017	73
4	5455	73

Stop Event

1×	node limit

Counts

3 → 269

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify173.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1884×	`rational.json-simplify-35`
1512×	`rational.json-simplify-49`
1464×	`rational.json-simplify-46`
910×	`rational.json-simplify-44`
788×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	542	12793
1	1927	11461

Stop Event

1×	node limit

Counts

341 → 330

Calls

Call 1

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

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

localize69.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 47 to 17 computations (63.8% saved)

series3.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite122.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1680×	`exponential.json-3`
1680×	`rational.json-1`
1680×	`rational.json-2`
1680×	`rational.json-4`
1680×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	99	68
2	270	68
3	898	68
4	4041	68

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

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

simplify210.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1212×	`rational.json-simplify-53`
1120×	`rational.json-simplify-2`
1108×	`rational.json-simplify-1`
816×	`rational.json-simplify-51`
578×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	6041
1	479	5981
2	1072	5981
3	2900	5837
4	4998	5837
5	7432	5837

Stop Event

1×	node limit

Counts

133 → 141

Calls

Call 1

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

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

eval459.0ms (1.8%)

Compiler: Compiled 26151 to 11946 computations (54.3% saved)

prune383.0ms (1.5%)

Pruning

45 alts after pruning (39 fresh and 6 done)

	Pruned	Kept	Total
New	991	26	1017
Fresh	2	13	15
Picked	0	1	1
Done	2	5	7
Total	995	45	1040

Error

Counts

1040 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	41.2b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
	39.2b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	50.7b	(/.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	50.7b	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	50.0b	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	54.8b	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
	0.6b	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	50.1b	(/.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))
	26.1b	(/.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
▶	50.0b	(/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))) (sqrt.f64 2))
	49.7b	(/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2)))
	50.1b	(/.f64 (/.f64 -1 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
	50.7b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
	0.4b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓	25.9b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	50.0b	(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 2 (sqrt.f64 2))))
	25.9b	(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 2)
	0.4b	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
▶	0.4b	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))
✓	0.6b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	26.1b	(/.f64 4 (/.f64 (.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 4) (/.f64 2 (sqrt.f64 2))))
	26.1b	(/.f64 2 (.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
▶	26.1b	(/.f64 1 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	50.0b	(/.f64 -1 (/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))
	45.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1))) (/.f64 (/.f64 (/.f64 1 (.f64 a2 a2)) a1) a1)))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	39.2b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a1 2))
	53.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1))) (.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1)))))
	39.2b	(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (pow.f64 a1 2))))
	26.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	49.6b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
▶	50.0b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
▶	54.5b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
	54.5b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2)) (.f64 (/.f64 1/2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
✓	25.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	35.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 -1 (-.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -1)))
	54.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	50.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 1/2)))
	50.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	50.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	33.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	50.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (.f64 (/.f64 1/2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	0.5b	(.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) 1/2)
✓	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
✓	0.4b	(.f64 (cos.f64 th) (+.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))

Compiler

Compiled 2399 to 1203 computations (49.9% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
	0.2b	(.f64 (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)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite62.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`exponential.json-3`
1306×	`rational.json-1`
1306×	`rational.json-2`
1306×	`rational.json-4`
1306×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	97	39
2	240	39
3	727	39
4	3230	39

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

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

simplify128.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1778×	`rational.json-simplify-35`
1086×	`rational.json-simplify-41`
940×	`rational.json-simplify-54`
784×	`rational.json-simplify-2`
730×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	139	3503
1	326	3491
2	714	3491
3	1360	3491
4	3485	3491
5	7971	3491

Stop Event

1×	node limit

Counts

83 → 82

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

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

localize31.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 44 to 18 computations (59.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`rational.json-simplify-35`
1228×	`exponential.json-3`
1228×	`rational.json-1`
1228×	`rational.json-2`
1228×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	98	29
2	236	29
3	670	29
4	2858	29

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1616×	`rational.json-simplify-35`
1072×	`rational.json-simplify-2`
954×	`rational.json-simplify-51`
944×	`rational.json-simplify-1`
876×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	1558
1	123	1558
2	257	1558
3	658	1558
4	2738	1558
5	7265	1558

Stop Event

1×	node limit

Counts

50 → 31

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	0.4b	(/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))) (sqrt.f64 2))
	0.4b	(/.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	33.5b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))

Compiler

Compiled 113 to 19 computations (83.2% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite88.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1754×	`exponential.json-3`
1754×	`rational.json-1`
1754×	`rational.json-2`
1754×	`rational.json-4`
1754×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	120
1	120	120
2	347	72
3	1399	72
4	5288	72

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

Inputs

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

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

Outputs

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

simplify120.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1040×	`rational.json-simplify-53`
1032×	`rational.json-simplify-38`
836×	`rational.json-simplify-2`
790×	`rational.json-simplify-40`
552×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	212	6234
1	656	6012
2	2817	6012
3	5456	6012

Stop Event

1×	node limit

Counts

138 → 140

Calls

Call 1

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

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

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
✓	0.5b	(/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
	1.0b	(/.f64 1 (sqrt.f64 2))
✓	33.0b	(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))

Compiler

Compiled 142 to 35 computations (75.4% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite105.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`exponential.json-3`
1688×	`rational.json-1`
1688×	`rational.json-2`
1688×	`rational.json-4`
1688×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	217
1	128	199
2	310	103
3	1146	103
4	4724	103

Stop Event

1×	node limit

Counts

3 → 221

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify169.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1890×	`rational.json-simplify-35`
1296×	`rational.json-simplify-44`
1230×	`rational.json-simplify-61`
1158×	`rational.json-simplify-47`
742×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	12181
1	1796	11849
2	7889	11831

Stop Event

1×	node limit

Counts

293 → 315

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 a1 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))
(+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8))) (+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))))
(/.f64 1 (pow.f64 a2 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (/.f64 1 (pow.f64 a2 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2)))))
(/.f64 1 (pow.f64 a2 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (/.f64 1 (pow.f64 a2 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2)))))
(/.f64 1 (pow.f64 a2 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (/.f64 1 (pow.f64 a2 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2)))))
(/.f64 1 (pow.f64 a1 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))
(+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8))) (+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))))
(/.f64 1 (pow.f64 a1 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))
(+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8))) (+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))))
(/.f64 1 (pow.f64 a1 4))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6))) (/.f64 1 (pow.f64 a1 4)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6))) (+.f64 (/.f64 1 (pow.f64 a1 4)) (.f64 3 (/.f64 (pow.f64 a2 4) (pow.f64 a1 8)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6))) (+.f64 (/.f64 1 (pow.f64 a1 4)) (+.f64 (.f64 -4 (/.f64 (pow.f64 a2 6) (pow.f64 a1 10))) (*.f64 3 (/.f64 (pow.f64 a2 4) (pow.f64 a1 8))))))
(/.f64 1 (pow.f64 a2 4))
(+.f64 (/.f64 1 (pow.f64 a2 4)) (*.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))))
(+.f64 (/.f64 1 (pow.f64 a2 4)) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))) (.f64 -1 (/.f64 (+.f64 (pow.f64 a1 4) (*.f64 -4 (pow.f64 a1 4))) (pow.f64 a2 8)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 a1 6)) (.f64 -2 (.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a1 4) (.f64 -4 (pow.f64 a1 4)))))) (pow.f64 a2 10))) (+.f64 (/.f64 1 (pow.f64 a2 4)) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))) (.f64 -1 (/.f64 (+.f64 (pow.f64 a1 4) (.f64 -4 (pow.f64 a1 4))) (pow.f64 a2 8))))))
(/.f64 1 (pow.f64 a2 4))
(+.f64 (/.f64 1 (pow.f64 a2 4)) (*.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))))
(+.f64 (/.f64 1 (pow.f64 a2 4)) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))) (.f64 -1 (/.f64 (+.f64 (pow.f64 a1 4) (*.f64 -4 (pow.f64 a1 4))) (pow.f64 a2 8)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 a1 6)) (.f64 -2 (.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a1 4) (.f64 -4 (pow.f64 a1 4)))))) (pow.f64 a2 10))) (+.f64 (/.f64 1 (pow.f64 a2 4)) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))) (.f64 -1 (/.f64 (+.f64 (pow.f64 a1 4) (.f64 -4 (pow.f64 a1 4))) (pow.f64 a2 8))))))
(/.f64 1 (pow.f64 a2 4))
(+.f64 (/.f64 1 (pow.f64 a2 4)) (*.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))))
(+.f64 (/.f64 1 (pow.f64 a2 4)) (+.f64 (.f64 3 (/.f64 (pow.f64 a1 4) (pow.f64 a2 8))) (.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6)))))
(+.f64 (/.f64 1 (pow.f64 a2 4)) (+.f64 (.f64 3 (/.f64 (pow.f64 a1 4) (pow.f64 a2 8))) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))) (*.f64 -4 (/.f64 (pow.f64 a1 6) (pow.f64 a2 10))))))
(/.f64 1 (pow.f64 a1 4))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6))) (/.f64 1 (pow.f64 a1 4)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6))) (+.f64 (/.f64 1 (pow.f64 a1 4)) (.f64 -1 (/.f64 (+.f64 (*.f64 -4 (pow.f64 a2 4)) (pow.f64 a2 4)) (pow.f64 a1 8)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6))) (+.f64 (/.f64 1 (pow.f64 a1 4)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 -4 (pow.f64 a2 4)) (pow.f64 a2 4)) (pow.f64 a2 2))) (.f64 -2 (pow.f64 a2 6))) (pow.f64 a1 10))) (.f64 -1 (/.f64 (+.f64 (.f64 -4 (pow.f64 a2 4)) (pow.f64 a2 4)) (pow.f64 a1 8))))))
(/.f64 1 (pow.f64 a1 4))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6))) (/.f64 1 (pow.f64 a1 4)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6))) (+.f64 (/.f64 1 (pow.f64 a1 4)) (.f64 -1 (/.f64 (+.f64 (*.f64 -4 (pow.f64 a2 4)) (pow.f64 a2 4)) (pow.f64 a1 8)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6))) (+.f64 (/.f64 1 (pow.f64 a1 4)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 -4 (pow.f64 a2 4)) (pow.f64 a2 4)) (pow.f64 a2 2))) (.f64 -2 (pow.f64 a2 6))) (pow.f64 a1 10))) (.f64 -1 (/.f64 (+.f64 (.f64 -4 (pow.f64 a2 4)) (pow.f64 a2 4)) (pow.f64 a1 8))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 0)
(+.f64 0 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(-.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 0)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (-.f64 0 (neg.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))) -1))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fabs.f64 (/.f64 -1 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
(/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 1 (-.f64 0 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 1)
(/.f64 2 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2))
(/.f64 2 (fabs.f64 (.f64 2 (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2)) (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(/.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2)))
(/.f64 4 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 4))
(/.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 4) 4)
(/.f64 (.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 -1 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 -1 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 -1 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
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(/.f64 (neg.f64 (/.f64 -1 (sqrt.f64 2))) (neg.f64 (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 2))) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 2))) (-.f64 0 (neg.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2))) (neg.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 2) 1/2))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 2) 1/2))) (neg.f64 (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(pow.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1)

Outputs
(/.f64 1 (pow.f64 a1 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))
(+.f64 (/.f64 1 (pow.f64 a1 2)) (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))))
(+.f64 (/.f64 1 (pow.f64 a1 2)) (neg.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))))
(+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (+.f64 (/.f64 1 (pow.f64 a1 2)) (/.f64 (pow.f64 a2 4) (pow.f64 a1 6))))
(+.f64 (/.f64 1 (pow.f64 a1 2)) (+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (neg.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4)))))
(+.f64 (/.f64 1 (pow.f64 a1 2)) (+.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 (pow.f64 a2 4) (pow.f64 a1 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8))) (+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))))
(+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (+.f64 (/.f64 1 (pow.f64 a1 2)) (.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4)))) (.f64 -1 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (+.f64 (+.f64 (/.f64 1 (pow.f64 a1 2)) (/.f64 (pow.f64 a2 4) (pow.f64 a1 6))) (neg.f64 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (+.f64 (neg.f64 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8))) (+.f64 (/.f64 1 (pow.f64 a1 2)) (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)))))
(/.f64 1 (pow.f64 a2 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (/.f64 1 (pow.f64 a2 2)))
(+.f64 (/.f64 1 (pow.f64 a2 2)) (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))))
(+.f64 (/.f64 1 (pow.f64 a2 2)) (neg.f64 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 1 (pow.f64 a2 2)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6))))
(+.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 1 (pow.f64 a2 2)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 1 (pow.f64 a2 2)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)))))
(+.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 1 (pow.f64 a2 2)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)))) (neg.f64 (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))))
(/.f64 1 (pow.f64 a2 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (/.f64 1 (pow.f64 a2 2)))
(+.f64 (/.f64 1 (pow.f64 a2 2)) (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))))
(+.f64 (/.f64 1 (pow.f64 a2 2)) (neg.f64 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 1 (pow.f64 a2 2)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6))))
(+.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 1 (pow.f64 a2 2)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 1 (pow.f64 a2 2)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)))))
(+.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 1 (pow.f64 a2 2)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)))) (neg.f64 (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))))
(/.f64 1 (pow.f64 a2 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (/.f64 1 (pow.f64 a2 2)))
(+.f64 (/.f64 1 (pow.f64 a2 2)) (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))))
(+.f64 (/.f64 1 (pow.f64 a2 2)) (neg.f64 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 1 (pow.f64 a2 2)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6))))
(+.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 1 (pow.f64 a2 2)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))) (+.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 1 (pow.f64 a2 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 1 (pow.f64 a2 2)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)))))
(+.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (pow.f64 a2 4))) (+.f64 (/.f64 1 (pow.f64 a2 2)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)))) (neg.f64 (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))))
(/.f64 1 (pow.f64 a1 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))
(+.f64 (/.f64 1 (pow.f64 a1 2)) (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))))
(+.f64 (/.f64 1 (pow.f64 a1 2)) (neg.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))))
(+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (+.f64 (/.f64 1 (pow.f64 a1 2)) (/.f64 (pow.f64 a2 4) (pow.f64 a1 6))))
(+.f64 (/.f64 1 (pow.f64 a1 2)) (+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (neg.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4)))))
(+.f64 (/.f64 1 (pow.f64 a1 2)) (+.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 (pow.f64 a2 4) (pow.f64 a1 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8))) (+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))))
(+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (+.f64 (/.f64 1 (pow.f64 a1 2)) (.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4)))) (.f64 -1 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (+.f64 (+.f64 (/.f64 1 (pow.f64 a1 2)) (/.f64 (pow.f64 a2 4) (pow.f64 a1 6))) (neg.f64 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (+.f64 (neg.f64 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8))) (+.f64 (/.f64 1 (pow.f64 a1 2)) (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)))))
(/.f64 1 (pow.f64 a1 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))
(+.f64 (/.f64 1 (pow.f64 a1 2)) (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))))
(+.f64 (/.f64 1 (pow.f64 a1 2)) (neg.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))))
(+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (+.f64 (/.f64 1 (pow.f64 a1 2)) (/.f64 (pow.f64 a2 4) (pow.f64 a1 6))))
(+.f64 (/.f64 1 (pow.f64 a1 2)) (+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (neg.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4)))))
(+.f64 (/.f64 1 (pow.f64 a1 2)) (+.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 (pow.f64 a2 4) (pow.f64 a1 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8))) (+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (/.f64 1 (pow.f64 a1 2)))))
(+.f64 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)) (+.f64 (+.f64 (/.f64 1 (pow.f64 a1 2)) (.f64 -1 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4)))) (.f64 -1 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (+.f64 (+.f64 (/.f64 1 (pow.f64 a1 2)) (/.f64 (pow.f64 a2 4) (pow.f64 a1 6))) (neg.f64 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a1 4))) (+.f64 (neg.f64 (/.f64 (pow.f64 a2 6) (pow.f64 a1 8))) (+.f64 (/.f64 1 (pow.f64 a1 2)) (/.f64 (pow.f64 a2 4) (pow.f64 a1 6)))))
(/.f64 1 (pow.f64 a1 4))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6))) (/.f64 1 (pow.f64 a1 4)))
(+.f64 (/.f64 1 (pow.f64 a1 4)) (*.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6))) (+.f64 (/.f64 1 (pow.f64 a1 4)) (.f64 3 (/.f64 (pow.f64 a2 4) (pow.f64 a1 8)))))
(+.f64 (/.f64 1 (pow.f64 a1 4)) (+.f64 (.f64 3 (/.f64 (pow.f64 a2 4) (pow.f64 a1 8))) (.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6)))))
(+.f64 (.f64 3 (/.f64 (pow.f64 a2 4) (pow.f64 a1 8))) (+.f64 (/.f64 1 (pow.f64 a1 4)) (.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 a1 4)) (.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6)))) (.f64 3 (/.f64 (pow.f64 a2 4) (pow.f64 a1 8))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6))) (+.f64 (/.f64 1 (pow.f64 a1 4)) (+.f64 (.f64 -4 (/.f64 (pow.f64 a2 6) (pow.f64 a1 10))) (*.f64 3 (/.f64 (pow.f64 a2 4) (pow.f64 a1 8))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6))) (+.f64 (.f64 -4 (/.f64 (pow.f64 a2 6) (pow.f64 a1 10))) (+.f64 (/.f64 1 (pow.f64 a1 4)) (*.f64 3 (/.f64 (pow.f64 a2 4) (pow.f64 a1 8))))))
(+.f64 (/.f64 1 (pow.f64 a1 4)) (+.f64 (.f64 -2 (/.f64 (pow.f64 a2 2) (pow.f64 a1 6))) (+.f64 (.f64 3 (/.f64 (pow.f64 a2 4) (pow.f64 a1 8))) (*.f64 -4 (/.f64 (pow.f64 a2 6) (pow.f64 a1 10))))))
(/.f64 1 (pow.f64 a2 4))
(+.f64 (/.f64 1 (pow.f64 a2 4)) (*.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))))
(+.f64 (/.f64 1 (pow.f64 a2 4)) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))) (.f64 -1 (/.f64 (+.f64 (pow.f64 a1 4) (*.f64 -4 (pow.f64 a1 4))) (pow.f64 a2 8)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 a1 4) (*.f64 (pow.f64 a1 4) -4)) (pow.f64 a2 8))) (/.f64 1 (pow.f64 a2 4))))
(+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a1 4) (.f64 (pow.f64 a1 4) -4)) (pow.f64 a2 8))) (+.f64 (/.f64 1 (pow.f64 a2 4)) (.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 a2 4)) (.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6)))) (neg.f64 (/.f64 (+.f64 (pow.f64 a1 4) (.f64 (pow.f64 a1 4) -4)) (pow.f64 a2 8))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 a1 6)) (.f64 -2 (.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a1 4) (.f64 -4 (pow.f64 a1 4)))))) (pow.f64 a2 10))) (+.f64 (/.f64 1 (pow.f64 a2 4)) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))) (.f64 -1 (/.f64 (+.f64 (pow.f64 a1 4) (.f64 -4 (pow.f64 a1 4))) (pow.f64 a2 8))))))
(+.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 a1 4) (.f64 (pow.f64 a1 4) -4)) (pow.f64 a2 8))) (/.f64 1 (pow.f64 a2 4)))) (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 a1 6) -2) (.f64 (pow.f64 a1 2) (.f64 (+.f64 (pow.f64 a1 4) (.f64 (pow.f64 a1 4) -4)) -2))) (pow.f64 a2 10))))
(+.f64 (/.f64 1 (pow.f64 a2 4)) (+.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))) (neg.f64 (/.f64 (+.f64 (pow.f64 a1 4) (.f64 (pow.f64 a1 4) -4)) (pow.f64 a2 8)))) (neg.f64 (/.f64 (.f64 -2 (+.f64 (.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a1 4) (*.f64 (pow.f64 a1 4) -4))) (pow.f64 a1 6))) (pow.f64 a2 10)))))
(+.f64 (/.f64 1 (pow.f64 a2 4)) (+.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))) (neg.f64 (/.f64 (+.f64 (pow.f64 a1 4) (.f64 (pow.f64 a1 4) -4)) (pow.f64 a2 8)))) (neg.f64 (/.f64 (.f64 -2 (+.f64 (pow.f64 a1 6) (.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a1 4) (*.f64 (pow.f64 a1 4) -4))))) (pow.f64 a2 10)))))
(/.f64 1 (pow.f64 a2 4))
(+.f64 (/.f64 1 (pow.f64 a2 4)) (*.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))))
(+.f64 (/.f64 1 (pow.f64 a2 4)) (+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))) (.f64 -1 (/.f64 (+.f64 (pow.f64 a1 4) (*.f64 -4 (pow.f64 a1 4))) (pow.f64 a2 8)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 a1 4) (*.f64 (pow.f64 a1 4) -4)) (pow.f64 a2 8))) (/.f64 1 (pow.f64 a2 4))))
(+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a1 4) (.f64 (pow.f64 a1 4) -4)) (pow.f64 a2 8))) (+.f64 (/.f64 1 (pow.f64 a2 4)) (.f64 -2 (/.f64 (pow.f64 a1 2) (pow.f64 a2 6)))))
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(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2))
(/.f64 (/.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) 2))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2))
(/.f64 (/.f64 (/.f64 4 (sqrt.f64 2)) 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) 2))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2))
(/.f64 (/.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) -1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) 2))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) 2))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) 2))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2))) (/.f64 1/2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) 2))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2)) 1/2)
(/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) 2))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2))
(/.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 2) 1/2)) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))) -1)
(/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) 2))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2)) (neg.f64 (.f64 2 (sqrt.f64 2))))
(.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 2 (.f64 2 (neg.f64 (sqrt.f64 2)))))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2) (.f64 (sqrt.f64 2) -2))
(/.f64 (neg.f64 (/.f64 -1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (neg.f64 (/.f64 -1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (-.f64 0 (neg.f64 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) -1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (neg.f64 (/.f64 4 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (-.f64 0 (*.f64 (sqrt.f64 2) 4)))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/4)) (neg.f64 (*.f64 4 (sqrt.f64 2))))
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -1/4) (neg.f64 (*.f64 4 (sqrt.f64 2))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (neg.f64 (/.f64 2 (sqrt.f64 2))) (neg.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(/.f64 (/.f64 -2 (sqrt.f64 2)) (/.f64 -2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) (-.f64 0 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2)))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (neg.f64 (.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -2))
(/.f64 (neg.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (neg.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) 2))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2))
(/.f64 (neg.f64 (/.f64 4 (sqrt.f64 2))) (-.f64 0 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 4)))
(/.f64 (neg.f64 (/.f64 4 (sqrt.f64 2))) (neg.f64 (.f64 4 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (neg.f64 (/.f64 -4 (sqrt.f64 2))) (.f64 4 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 0 (.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (neg.f64 (.f64 2 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (/.f64 (sqrt.f64 2) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (neg.f64 (/.f64 2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (neg.f64 (/.f64 -1 (sqrt.f64 2))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (neg.f64 (/.f64 -1 (sqrt.f64 2))) (neg.f64 (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 2))) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 2))) (-.f64 0 (neg.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2))) (neg.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) 2))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) 2))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 2) 1/2))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) 2))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 2) 1/2))) (neg.f64 (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) 2))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2))
(pow.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
✓	0.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
	1.0b	(/.f64 1 (sqrt.f64 2))
✓	43.2b	(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))

Compiler

Compiled 232 to 56 computations (75.9% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite359.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1114×	`rational.json-simplify-54`
1040×	`rational.json-simplify-35`
710×	`rational.json-simplify-43`
624×	`rational.json-simplify-50`
622×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	409
1	145	385
2	373	73
3	1697	73
4	6654	73

Stop Event

1×	node limit

Counts

3 → 606

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify1.5s (5.7%)

Algorithm

1×	egg-herbie

Rules

1988×	`rational.json-simplify-35`
1484×	`rational.json-simplify-2`
1124×	`rational.json-simplify-47`
1124×	`rational.json-simplify-44`
912×	`rational.json-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1261	85764
1	6737	85178

Stop Event

1×	node limit

Counts

678 → 1290

Calls

Call 1

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

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

eval2.6s (10%)

Compiler: Compiled 98584 to 31083 computations (68.5% saved)

prune2.9s (11.2%)

Pruning

81 alts after pruning (73 fresh and 8 done)

	Pruned	Kept	Total
New	2147	50	2197
Fresh	11	23	34
Picked	1	0	1
Done	2	8	10
Total	2161	81	2242

Error

Counts

2242 → 81

Alt Table

Click to see full alt table

Status	Error	Program
	41.2b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
	39.2b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	50.7b	(/.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	50.7b	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	50.0b	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	54.8b	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
	0.6b	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	49.8b	(/.f64 (/.f64 2 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
	26.1b	(/.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	50.1b	(/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	49.7b	(/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2)))
	49.7b	(/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	49.6b	(/.f64 (/.f64 1 (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 2))
	54.5b	(/.f64 (/.f64 1 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2)) (.f64 (/.f64 1/2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (sqrt.f64 2))
	50.1b	(/.f64 (/.f64 -1 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
	50.7b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
	0.4b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓	25.9b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	35.8b	(/.f64 (+.f64 -1 (-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -1)) (sqrt.f64 2))
	50.1b	(/.f64 (.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 1/2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))) (sqrt.f64 2))
	54.9b	(/.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 2 (.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))) (sqrt.f64 2))))
	50.1b	(/.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 2))
	50.0b	(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 2 (sqrt.f64 2))))
	33.7b	(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2) (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))) (sqrt.f64 2))
	25.9b	(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 2)
	0.4b	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 2) (cos.f64 th))) 2)
✓	0.4b	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))
	49.8b	(/.f64 (.f64 2 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
✓	0.6b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	26.1b	(/.f64 2 (/.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (sqrt.f64 2))))
	26.1b	(/.f64 2 (.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	53.8b	(/.f64 1 (/.f64 (sqrt.f64 2) (/.f64 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1))) (.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (*.f64 a1 a1))))))
✓	26.1b	(/.f64 1 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	50.0b	(/.f64 -1 (/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	58.5b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (/.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (/.f64 2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
	50.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 2 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))))
	50.3b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))))
	54.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (/.f64 4 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
	50.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (/.f64 2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	57.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (/.f64 2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
	57.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2))))))
	50.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (/.f64 -1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	54.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
	58.5b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))))))
	33.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))))
	50.3b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))))
	50.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
	58.0b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
	50.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
	33.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (neg.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
	50.0b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 -1 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
	39.2b	(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (pow.f64 a1 2))))
	26.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	49.6b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
	54.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
✓	50.0b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
	49.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1/2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
	53.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
	57.2b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))))
	53.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (/.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2))))))
	53.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1/2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
	50.2b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 (.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
	34.0b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 2 (/.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 -1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))))
✓	25.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	35.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 -1 (-.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -1)))
	54.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	50.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
	33.7b	(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
	33.7b	(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
	33.7b	(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1/2 (sqrt.f64 2))) (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	55.1b	(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
	34.2b	(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 4 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 1/4 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))))
	33.9b	(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	50.7b	(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	54.9b	(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
	54.8b	(.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (/.f64 2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
	0.5b	(.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) 1/2)
✓	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
	0.9b	(.f64 (cos.f64 th) (.f64 (/.f64 (sqrt.f64 2) 8) (.f64 4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
	33.4b	(.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))

Compiler

Compiled 3255 to 1354 computations (58.4% saved)

regimes1.4s (5.5%)

Counts

111 → 1

Calls

Call 1

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

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

Calls

8 calls:

492.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
274.0ms	(cos.f64 th)
191.0ms	a2
109.0ms	a1
102.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

Results

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

Compiler

Compiled 3885 to 1162 computations (70.1% saved)

regimes507.0ms (2%)

Counts

105 → 1

Calls

Call 1

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

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

Calls

7 calls:

104.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
103.0ms	a1
65.0ms	(*.f64 a1 a1)
49.0ms	a2
45.0ms	th

Results

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

Compiler

Compiled 3732 to 1074 computations (71.2% saved)

regimes1.3s (5.1%)

Counts

88 → 1

Calls

Call 1

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

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

Calls

5 calls:

512.0ms	(*.f64 a2 a2)
277.0ms	a2
212.0ms	th
39.0ms	a1
20.0ms	(*.f64 a1 a1)

Results

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

Compiler

Compiled 3408 to 951 computations (72.1% saved)

regimes27.0ms (0.1%)

Accuracy

Total -0.2b remaining (-0.8%)

Threshold costs -0.2b (-0.8%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

14.0ms	a1
3.0ms	a2
3.0ms	th
3.0ms	(*.f64 a1 a1)
2.0ms	(*.f64 a2 a2)

Results

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

Compiler

Compiled 61 to 36 computations (41% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	152

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 63 to 45 computations (28.6% saved)

soundness152.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1488×	`rational.json-simplify-50`
1048×	`rational.json-simplify-35`
962×	`rational.json-simplify-1`
896×	`rational.json-simplify-41`
686×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	363	8507
1	1245	8471
2	4121	7723
3	6455	7657

Stop Event

1×	node limit

Compiler

Compiled 67 to 41 computations (38.8% saved)

end56.0ms (0.2%)

Remove: (sort a1 a2)
Compiler: Compiled 92 to 58 computations (37% saved)