Details

analyze346.0ms (2.3%)

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)

sample4.6s (30.6%)

Results

1.3s	1636×	body	1024	infinite
1.0s	1879×	body	1024	valid
963.0ms	5504×	body	256	valid
440.0ms	869×	body	512	valid
408.0ms	820×	body	512	infinite
300.0ms	1576×	body	256	infinite
3.0ms	4×	body	2048	valid

Bogosity

preprocess82.0ms (0.5%)

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)

simplify118.0ms (0.8%)

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

0.5b

Counts

4 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 17 computations (59.5% saved)

series8.0ms (0.1%)

Counts

4 → 68

Calls

21 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)))

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`bool.json-1`
1498×	`bool.json-2`
1472×	`rational.json-1`
1472×	`rational.json-2`
1472×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	78
1	140	78
2	386	78
3	997	78
4	3744	78

Stop Event

1×	node limit

Counts

4 → 75

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))
(cos.f64 th)

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 (/.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 1/2 (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 2) (.f64 1/2 (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.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 (neg.f64 (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 not (not (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (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 (/.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) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 2)) 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 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 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 4) (.f64 4 (/.f64 (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 (cos.f64 th)))))) (#(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 (+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))) 4) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))) 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))) (/.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 not (not (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.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 or (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 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 (+.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 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 2 (/.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)))))))) (#(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 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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 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 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (#(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 a2 a2) (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1))) (.f64 (/.f64 1 (.f64 a1 a1)) (/.f64 1 (.f64 a2 a2))))))) (#(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 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 (.f64 a2 a2) (.f64 a1 a1)) 4) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 4)) 8)))) (#(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)))) (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 not (not (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 th) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 th) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (*.f64 (cos.f64 th) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 th) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 th) (cos.f64 th))))))

simplify94.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1844×	`rational.json-simplify-35`
1472×	`rational.json-simplify-51`
1234×	`rational.json-simplify-2`
836×	`rational.json-simplify-41`
718×	`rational.json-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	4003
1	572	4003
2	2539	3999
3	5097	3999

Stop Event

1×	node limit

Counts

143 → 135

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

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 59 to 29 computations (50.8% saved)

series10.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`bool.json-1`
1734×	`bool.json-2`
1708×	`rational.json-1`
1708×	`rational.json-2`
1708×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	113
1	154	93
2	437	93
3	1134	93
4	4218	93

Stop Event

1×	node limit

Counts

3 → 85

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 2 (/.f64 (/.f64 1 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) (cos.f64 th))) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 1 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 (fabs.f64 a1) (fabs.f64 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(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 (/.f64 1 a1) a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(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 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 2 (/.f64 (/.f64 1 a1) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.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 (neg.f64 (sqrt.f64 2)) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 a1 a1)) (-.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a1 a1) (.f64 2 (.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 4 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a1 (.f64 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 a1) (/.f64 (.f64 a1 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 (.f64 (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) 4) (.f64 (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) 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 (.f64 a1 a1) (.f64 2 (.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 a1) (/.f64 (.f64 a1 a1) a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 a1 (.f64 a1 (fabs.f64 a1))) (/.f64 (sqrt.f64 2) (cos.f64 th))) (fabs.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 a1 (.f64 a1 (neg.f64 (.f64 a1 a1)))) (/.f64 (sqrt.f64 2) (cos.f64 th))) (neg.f64 (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (.f64 (/.f64 1 (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)) (/.f64 (sqrt.f64 2) (cos.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 2) (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1/2)))) (#(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 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) 4) (.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 not (not (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (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 2 (/.f64 (/.f64 1 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) (cos.f64 th))) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 1 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 (fabs.f64 a1) (fabs.f64 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(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 (/.f64 1 a1) a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(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 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 2 (/.f64 (/.f64 1 a1) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.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 (neg.f64 (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a1 a1)) (-.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a1 a1) (*.f64 2 (*.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 4 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (*.f64 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 a1) (/.f64 (*.f64 a1 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 (*.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 4) (*.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 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 (*.f64 a1 a1) (*.f64 2 (*.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 a1) (/.f64 (*.f64 a1 a1) a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (*.f64 a1 (fabs.f64 a1))) (/.f64 (sqrt.f64 2) (cos.f64 th))) (fabs.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (*.f64 a1 (neg.f64 (*.f64 a1 a1)))) (/.f64 (sqrt.f64 2) (cos.f64 th))) (neg.f64 (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (*.f64 2 (/.f64 1 (*.f64 a2 a2))) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 a2) (*.f64 (/.f64 (fabs.f64 a2) (fabs.f64 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (/.f64 (fabs.f64 a2) (fabs.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) 2) (/.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 2 (/.f64 1 (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 2 (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 a2 a2)) (*.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 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a2 a2)) (-.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2))) (*.f64 (*.f64 2 (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) 4) (*.f64 4 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 a2 (neg.f64 (*.f64 a2 a2)))) (*.f64 (neg.f64 (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (/.f64 1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) (/.f64 (*.f64 a2 a2) a2)) (*.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) (fabs.f64 a2)) (*.f64 (fabs.f64 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 4) (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2))) (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 2 (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a2 a2) 4) (/.f64 (sqrt.f64 2) (cos.f64 th))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a2 a2) (/.f64 (*.f64 a2 a2) a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) a2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a2 a2) (fabs.f64 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (fabs.f64 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 (*.f64 a2 (neg.f64 (*.f64 a2 a2)))) (/.f64 (sqrt.f64 2) (cos.f64 th))) (neg.f64 (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (*.f64 (/.f64 1 (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)) (/.f64 (sqrt.f64 2) (cos.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) 2) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1/2)))) (#(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 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) 4) (*.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 not (not (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))))))

simplify573.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1330×	`rational.json-simplify-43`
1194×	`rational.json-simplify-2`
866×	`rational.json-simplify-35`
776×	`rational.json-simplify-41`
766×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	6601
1	930	6565
2	3047	6021
3	6347	6021

Stop Event

1×	node limit

Counts

169 → 163

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

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

eval204.0ms (1.4%)

Compiler: Compiled 9452 to 5731 computations (39.4% saved)

prune172.0ms (1.1%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	340	24	364
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	341	25	366

Error

0.0b

Counts

366 → 25

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)))
	31.3b	(/.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)))
	25.9b	(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
	31.3b	(/.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))))
	0.5b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	0.5b	(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	9.2b	(+.f64 (/.f64 (/.f64 (.f64 (.f64 a1 a1) (/.f64 (.f64 a1 a1) a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
▶	0.5b	(+.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 1 a1) a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
	0.6b	(+.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 2 (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.4b	(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	8.7b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (/.f64 (.f64 (.f64 a2 a2) (/.f64 (*.f64 a2 a2) a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) a2))
	36.9b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (cos.f64 th) (.f64 (.f64 a2 (neg.f64 a2)) (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 (*.f64 a2 a2) (neg.f64 a2)))))))
	0.4b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (*.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 a2 (/.f64 1 (cos.f64 th)))))
	0.4b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2)))
	0.4b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
	0.5b	(+.f64 (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
▶	0.4b	(+.f64 (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	31.2b	(.f64 (/.f64 (cos.f64 th) (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))))))
✓	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	26.3b	(.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))))
	0.6b	(.f64 (cos.f64 th) (/.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))

Compiler

Compiled 1098 to 703 computations (36% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 17 computations (59.5% saved)

series2.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite106.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`rational.json-simplify-50`
1272×	`rational.json-simplify-2`
702×	`rational.json-simplify-51`
584×	`rational.json-simplify-35`
530×	`bool.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	144	54
2	445	54
3	1331	54
4	5286	54

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

((#(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 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (/.f64 2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (cos.f64 th) (*.f64 2 (/.f64 (sqrt.f64 2) (+.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)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 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)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (/.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 (/.f64 (sqrt.f64 2) (cos.f64 th)) 4)))))) (#(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 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 -1 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 th)) (/.f64 -1 (/.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)) (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 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2))))) (#(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 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 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 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (cos.f64 th))) (/.f64 1 (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 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (/.f64 2 (cos.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (*.f64 2 (/.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) 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) (cos.f64 th)) 4)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 4))))) (#(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 (sqrt.f64 2) (cos.f64 th))) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 2) (*.f64 2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (/.f64 1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 1/2 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 (/.f64 1 (cos.f64 th)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (/.f64 2 (cos.f64 th))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) 4) (/.f64 1 (*.f64 (cos.f64 th) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (cos.f64 th))) (/.f64 (sqrt.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 2) (/.f64 2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 th)) (*.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 th)) 1/2) (*.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (*.f64 2 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) 2) (*.f64 2 (/.f64 1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 th) 4)) (*.f64 (sqrt.f64 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 th)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))

simplify131.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1562×	`rational.json-simplify-35`
894×	`rational.json-simplify-2`
814×	`rational.json-simplify-1`
664×	`rational.json-simplify-50`
552×	`rational.json-simplify-19`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	193	4549
1	414	4465
2	922	3933
3	2267	3877
4	4386	3877
5	6065	3853

Stop Event

1×	node limit

Counts

109 → 128

Calls

Call 1

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

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

localize36.0ms (0.2%)

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)))

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1696×	`rational.json-simplify-35`
1308×	`bool.json-1`
1308×	`bool.json-2`
1282×	`rational.json-1`
1282×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	135	40
2	363	40
3	867	40
4	3214	40

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 (sqrt.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1 (sqrt.f64 2)) (/.f64 1 (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 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 (+.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 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 (*.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)) (+.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)) 4) (*.f64 (sqrt.f64 2) 4))))) (#(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 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 (*.f64 (/.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))) (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 (*.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)) 4)) (*.f64 2 (*.f64 (sqrt.f64 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 4)) 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 (*.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 (neg.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (neg.f64 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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)))) 1)))) (#(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 (*.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 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 4)) (*.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 4))) 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 (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 (+.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (neg.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (+.f64 (neg.f64 (neg.f64 (sqrt.f64 2))) (neg.f64 (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))))

simplify94.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1348×	`rational.json-simplify-54`
964×	`rational.json-simplify-2`
748×	`rational.json-simplify-51`
738×	`rational.json-simplify-44`
696×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	1918
1	297	1918
2	783	1918
3	3545	1918

Stop Event

1×	node limit

Counts

68 → 49

Calls

Call 1

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

localize77.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	0.1b	(/.f64 1 (cos.f64 th))
✓	0.2b	(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 1 (cos.f64 th)))
✓	0.4b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))

Compiler

Compiled 54 to 22 computations (59.3% saved)

series3.0ms (0%)

Counts

3 → 64

Calls

18 calls:

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

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2160×	`bool.json-1`
2160×	`bool.json-2`
1752×	`bool.json-3`
884×	`rational.json-simplify-35`
730×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	175	79
2	570	79
3	1795	79
4	6046	79

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs
(/.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 (cos.f64 th)))
(/.f64 1 (cos.f64 th))

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 0 (/.f64 (neg.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 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1/2 (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 (/.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)) (/.f64 2 (sqrt.f64 2))) 1/2)))) (#(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 1/2 (/.f64 1 (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 -1 (/.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 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)) 4) (/.f64 1 (*.f64 (sqrt.f64 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 4) 1/4)))) (#(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 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 1/2))))) (#(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 1/2 (sqrt.f64 2)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (/.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))) 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 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 2 (/.f64 1 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (/.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 (*.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 2 (/.f64 2 (cos.f64 th))))))) (#(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 (cos.f64 th) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (*.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (*.f64 (/.f64 2 (/.f64 2 (+.f64 (*.f64 a2 a2) (*.f64 a1 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) 2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) 1/2) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 2 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (*.f64 2 (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 (cos.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (cos.f64 th) (*.f64 2 (*.f64 (cos.f64 th) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (/.f64 (/.f64 1 (cos.f64 th)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (cos.f64 th))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cos.f64 th)) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 th) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 th)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (cos.f64 th) (cos.f64 th))) (/.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cos.f64 th)) (cos.f64 th)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1 (cos.f64 th)) (/.f64 1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1 (cos.f64 th)) (/.f64 1 (cos.f64 th)))))))

simplify160.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1228×	`rational.json-simplify-61`
1164×	`rational.json-simplify-51`
1126×	`rational.json-simplify-35`
1108×	`rational.json-simplify-1`
1052×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	6721
1	693	6697
2	1668	6177
3	4959	6177
4	7758	6177

Stop Event

1×	node limit

Counts

169 → 166

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

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)))
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(.f64 (.f64 2 (/.f64 1 (cos.f64 th))) 1/2)
(/.f64 1 (cos.f64 th))
(.f64 (.f64 2 (cos.f64 th)) (/.f64 1 (.f64 2 (.f64 (cos.f64 th) (cos.f64 th)))))
(/.f64 1 (cos.f64 th))
(.f64 (.f64 (/.f64 1 (cos.f64 th)) 4) 1/4)
(/.f64 1 (cos.f64 th))
(.f64 1/2 (.f64 2 (/.f64 1 (cos.f64 th))))
(/.f64 1 (cos.f64 th))
(.f64 (/.f64 2 (.f64 (cos.f64 th) (cos.f64 th))) (/.f64 (cos.f64 th) 2))
(/.f64 1 (cos.f64 th))
(*.f64 (/.f64 (/.f64 1 (cos.f64 th)) (cos.f64 th)) (cos.f64 th))
(/.f64 1 (cos.f64 th))

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 37 computations (44.8% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1752×	`rational.json-simplify-35`
1192×	`bool.json-1`
1192×	`bool.json-2`
1166×	`rational.json-1`
1166×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	105	32
2	348	32
3	1001	32
4	3280	32

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 2) a1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 2) a1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 2) (neg.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 2) (+.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sqrt.f64 2) a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (/.f64 1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) a1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (sqrt.f64 2) a1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 1/2 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 (/.f64 1 a1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sqrt.f64 2) (neg.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 2) a1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) 4) (/.f64 1 (*.f64 a1 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (neg.f64 a1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 a1)) (/.f64 (sqrt.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 (sqrt.f64 2) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a1) (*.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a1) 1/2) (*.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (+.f64 a1 a1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (sqrt.f64 2) a1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) 2) (*.f64 2 (/.f64 1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 2) a1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a1 4)) (*.f64 (sqrt.f64 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (sqrt.f64 2) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (sqrt.f64 2) a1) (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (sqrt.f64 2) a1) (/.f64 (sqrt.f64 2) a1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (cos.f64 th) (*.f64 2 (/.f64 (sqrt.f64 2) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 a1 (*.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cos.f64 th)) (/.f64 (/.f64 a1 (sqrt.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cos.f64 th)) (*.f64 (/.f64 a1 (sqrt.f64 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (neg.f64 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a1) (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) a1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 2 (/.f64 2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a1 (/.f64 1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) 2) (*.f64 2 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1/2) (+.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) 1/2) (*.f64 2 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (neg.f64 a1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 1 a1)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (/.f64 1 (cos.f64 th))) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 2 (cos.f64 th))) (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (*.f64 2 (/.f64 (sqrt.f64 2) a1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (*.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 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) a1) 4)) (*.f64 (cos.f64 th) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) 4) (cos.f64 th))) (*.f64 a1 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (neg.f64 a1))) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (neg.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (neg.f64 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))

simplify142.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1300×	`rational.json-simplify-53`
926×	`rational.json-simplify-2`
780×	`rational.json-simplify-41`
756×	`rational.json-simplify-55`
604×	`rational.json-simplify-19`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	1869
1	326	1869
2	749	1869
3	2455	1869
4	3973	1869
5	5983	1869
6	7431	1869

Stop Event

1×	node limit

Counts

95 → 90

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 69 to 40 computations (42% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite111.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2074×	`bool.json-1`
2074×	`bool.json-2`
1588×	`bool.json-3`
1214×	`rational.json-simplify-35`
772×	`rational.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	149	46
2	546	40
3	2066	40
4	6198	40

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a1 a1) (/.f64 1 (/.f64 2 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a1 a1) (*.f64 (/.f64 1 (/.f64 2 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a1 a1) (*.f64 (/.f64 1 (*.f64 (/.f64 1 a1) (/.f64 2 (cos.f64 th)))) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a1 a1) (*.f64 1/2 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) 2) (/.f64 1 (*.f64 2 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) 2) (*.f64 (/.f64 1 (*.f64 2 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) 2) (*.f64 (/.f64 2 (*.f64 (sqrt.f64 2) 4)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) 2) (*.f64 (/.f64 2 (*.f64 (/.f64 (/.f64 1 a1) a1) 4)) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) 2) (*.f64 1/2 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 2 (*.f64 (/.f64 (/.f64 1 a1) a1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 2 (*.f64 (/.f64 (/.f64 1 a1) a1) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 1/2 (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) (*.f64 (/.f64 1 (/.f64 1 (cos.f64 th))) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 a1) (*.f64 (fabs.f64 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 (/.f64 1 a1) a1) 4)) (*.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))) (+.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))) (*.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1 a1) a1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 1 a1) a1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 a1) a1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 a1) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a1) (/.f64 1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a1) a1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (/.f64 1 a1) a1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 a1)) (/.f64 2 (*.f64 a1 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 a1)) (*.f64 (/.f64 2 (*.f64 a1 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 a1)) (*.f64 1/2 (/.f64 1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 (/.f64 1 a1) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 a1 4)) (*.f64 2 (/.f64 1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 1 a1)) (fabs.f64 (/.f64 1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 2 (/.f64 1 a1))) (fabs.f64 (/.f64 2 (*.f64 a1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (/.f64 1 a1) a1))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (/.f64 (/.f64 1 a1) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (/.f64 1 a1) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (/.f64 1 a1) a1) (/.f64 (/.f64 1 a1) a1))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (/.f64 1 a1) a1) (/.f64 (/.f64 1 a1) a1))))))

simplify146.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1446×	`rational.json-simplify-53`
1008×	`rational.json-simplify-59`
892×	`rational.json-simplify-43`
610×	`rational.json-simplify-51`
586×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	2432
1	369	2372
2	976	2294
3	4846	2288

Stop Event

1×	node limit

Counts

86 → 91

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

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

eval439.0ms (2.9%)

Compiler: Compiled 20525 to 12186 computations (40.6% saved)

prune224.0ms (1.5%)

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	827	24	851
Fresh	12	7	19
Picked	1	0	1
Done	2	3	5
Total	842	34	876

Error

0.0b

Counts

876 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	40.8b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
	39.6b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
▶	44.1b	(/.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 (sqrt.f64 2) (cos.f64 th)))
	31.2b	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	46.5b	(/.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)))
▶	0.4b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2)))
▶	26.3b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	46.5b	(/.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 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
	0.5b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	26.4b	(/.f64 2 (.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	0.5b	(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	26.3b	(/.f64 1 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	12.7b	(+.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 1 a1) a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))
	0.5b	(+.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 1 a1) (/.f64 1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.4b	(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	8.7b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (/.f64 (.f64 (.f64 a2 a2) (/.f64 (*.f64 a2 a2) a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) a2))
	36.9b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (cos.f64 th) (.f64 (.f64 a2 (neg.f64 a2)) (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 (*.f64 a2 a2) (neg.f64 a2)))))))
	0.4b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
	12.7b	(+.f64 (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))
	14.5b	(+.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.5b	(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (cos.f64 th))) (/.f64 1 (sqrt.f64 2)))
	0.5b	(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 2 (/.f64 2 (cos.f64 th))))
✓	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	40.9b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
	39.6b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a1 2))
	54.6b	(.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)))))
	46.5b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
▶	46.5b	(.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))))))
✓	26.3b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.5b	(.f64 (/.f64 -1 (/.f64 (sqrt.f64 2) (cos.f64 th))) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
	0.6b	(.f64 (.f64 (cos.f64 th) 4) (/.f64 1 (.f64 2 (.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))

Compiler

Compiled 1379 to 899 computations (34.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 47 to 14 computations (70.2% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1704×	`bool.json-1`
1704×	`bool.json-2`
1678×	`rational.json-1`
1678×	`rational.json-2`
1678×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	142	68
2	409	68
3	1121	68
4	4373	68

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (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 (cos.f64 th) (/.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 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (cos.f64 th) (+.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)) (/.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 (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 (cos.f64 th) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2)) (/.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (*.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 (cos.f64 th) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2)) (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))))) (#(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 -1 (/.f64 (*.f64 (cos.f64 th) (+.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) (/.f64 2 (sqrt.f64 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (*.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 (cos.f64 th) 2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1/2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) 2) (*.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1/2 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) 2) (*.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 1/2) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (*.f64 (cos.f64 th) (/.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 (cos.f64 th) (/.f64 1/2 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (*.f64 (*.f64 (cos.f64 th) 1/2) (/.f64 1 (sqrt.f64 2))))))) (#(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 1 (sqrt.f64 2)) (*.f64 (cos.f64 th) (+.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 (cos.f64 th))) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (/.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)) (/.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 a2 a2) (*.f64 a1 a1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) 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 (*.f64 a2 a2) (*.f64 a1 a1)) 1/2) (*.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 th) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))

simplify125.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1132×	`rational.json-simplify-2`
1102×	`rational.json-simplify-53`
944×	`rational.json-simplify-1`
928×	`rational.json-simplify-54`
742×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	4308
1	364	4308
2	818	4260
3	1958	4236
4	5264	4236

Stop Event

1×	node limit

Counts

112 → 92

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

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

localize11.0ms (0.1%)

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)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.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))
✓	28.4b	(/.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)

series3.0ms (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	@	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	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	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))))

rewrite100.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1998×	`bool.json-1`
1998×	`bool.json-2`
1972×	`rational.json-1`
1664×	`bool.json-3`
650×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	217
1	171	211
2	505	73
3	1489	73
4	5339	73

Stop Event

1×	node limit

Counts

3 → 178

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 (/.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 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 (/.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 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1)))) (#(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 1/2 (+.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 (+.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 a2 a2) (*.f64 a1 a1)) 2) (/.f64 (/.f64 1/2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (fabs.f64 (/.f64 (/.f64 1/2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (*.f64 (/.f64 (/.f64 1/2 (+.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 a2 a2) (*.f64 a1 a1)) 2) (*.f64 1/2 (/.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)) (*.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)))))))) (#(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 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 (+.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 1 (+.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 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (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 -1 (neg.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 (+.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 1/2 (/.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 (*.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) (/.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 1/2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.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 a2 a2) (*.f64 a1 a1)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(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 (neg.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (neg.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.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 or (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (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)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (/.f64 1 (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 (*.f64 a2 a2) (*.f64 a1 a1)) (+.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 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (sqrt.f64 2))))))) (#(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 1 (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 2 (sqrt.f64 2)) (+.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))) (/.f64 1 (sqrt.f64 2))))))) (#(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 2 (+.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (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)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (*.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (/.f64 2 (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (+.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (/.f64 1 (/.f64 1 (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 2 (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 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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 0 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) 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(*.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 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 (*.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))))))))) (#(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 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(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)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))

simplify155.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1332×	`rational.json-simplify-2`
1192×	`rational.json-simplify-35`
888×	`rational.json-simplify-49`
722×	`rational.json-simplify-1`
684×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	7360
1	1210	7280
2	5310	7262
3	7939	7262

Stop Event

1×	node limit

Counts

250 → 220

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
	0.1b	(/.f64 1 (cos.f64 th))
✓	0.3b	(*.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2))
✓	0.3b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2)))

Compiler

Compiled 51 to 24 computations (52.9% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`rational.json-simplify-51`
692×	`rational.json-simplify-35`
608×	`rational.json-simplify-61`
588×	`rational.json-simplify-47`
584×	`bool.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	66
1	169	54
2	502	54
3	1479	54
4	6066	54

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

((#(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 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (/.f64 1 (sqrt.f64 2)) (cos.f64 th)))))) (#(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 (cos.f64 th) (/.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 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(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 (*.f64 a2 a2) (*.f64 a1 a1)) (/.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 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (/.f64 (cos.f64 th) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (*.f64 (/.f64 (cos.f64 th) (*.f64 2 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (*.f64 1/2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) 2) (/.f64 1 (/.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 2 (/.f64 (sqrt.f64 2) (/.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)) (cos.f64 th)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (*.f64 (/.f64 1 (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.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 -1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) 4) (/.f64 1 (/.f64 (sqrt.f64 2) (/.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 (cos.f64 th) (/.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 (/.f64 (sqrt.f64 2) (cos.f64 th)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (cos.f64 th) 2)) (/.f64 1 (*.f64 2 (sqrt.f64 2))))))) (#(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 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 th)) (/.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 (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(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 (/.f64 1 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) 2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (*.f64 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) (*.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(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 1 (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) (/.f64 2 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (cos.f64 th)) 2) (/.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (*.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (cos.f64 th) 4) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (cos.f64 th))) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) 4) (*.f64 (cos.f64 th) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) 4) (*.f64 4 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (sqrt.f64 2))) (*.f64 2 (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 2) 4) (cos.f64 th)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (sqrt.f64 2))) (neg.f64 (*.f64 (cos.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))

simplify152.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1424×	`rational.json-simplify-2`
1180×	`rational.json-simplify-51`
1044×	`rational.json-simplify-35`
640×	`rational.json-simplify-19`
622×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	4627
1	581	4549
2	1465	4017
3	3518	3985
4	5867	3985
5	7417	3985

Stop Event

1×	node limit

Counts

117 → 116

Calls

Call 1

Inputs
(/.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 (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))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (sqrt.f64 2)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2)))) (.f64 1/48 (sqrt.f64 2)))) (pow.f64 th 6))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4))))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(+.f64 (.f64 (+.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 (cos.f64 th) (sqrt.f64 2)))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (cos.f64 th)))
(.f64 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 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(.f64 2 (/.f64 (cos.f64 th) (/.f64 (.f64 2 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(.f64 2 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 2))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (/.f64 (cos.f64 th) (*.f64 2 (sqrt.f64 2))))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (.f64 (/.f64 (cos.f64 th) (.f64 2 (sqrt.f64 2))) 1))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (*.f64 1/2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 (cos.f64 th) 2) (/.f64 1 (/.f64 (.f64 2 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (.f64 (cos.f64 th) 2) (/.f64 2 (/.f64 (sqrt.f64 2) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 4))))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)) (/.f64 1 (sqrt.f64 2)))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)) (*.f64 (/.f64 1 (sqrt.f64 2)) 1))
(.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 (cos.f64 th))))))
(.f64 -1 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (cos.f64 th) 4) (/.f64 1 (/.f64 (sqrt.f64 2) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 4))))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))) 1/2)
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 4) (/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 4)))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (cos.f64 th) 2)) (/.f64 1 (.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (neg.f64 (cos.f64 th)) (/.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 (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 (cos.f64 th))))))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)))
(.f64 1/2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))))
(.f64 (/.f64 (cos.f64 th) 2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (.f64 2 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2) (*.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))))
(neg.f64 (/.f64 (neg.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (sqrt.f64 2) (neg.f64 (/.f64 1 (cos.f64 th))))))
(neg.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 2))))
(+.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0)
(+.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(-.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0)
(-.f64 0 (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (/.f64 1 (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) (/.f64 2 (sqrt.f64 2))) 1))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(/.f64 (*.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 -1 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 -1 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 th)) 2) (/.f64 2 (sqrt.f64 2)))
(/.f64 4 (.f64 2 (.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))))
(/.f64 4 (/.f64 (*.f64 (cos.f64 th) 4) (sqrt.f64 2)))
(/.f64 (.f64 2 (sqrt.f64 2)) (.f64 (cos.f64 th) 2))
(/.f64 (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 4) 4)
(/.f64 (neg.f64 (/.f64 1 (cos.f64 th))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) -1)
(/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (cos.f64 th)))
(/.f64 (.f64 (sqrt.f64 2) 4) (.f64 (cos.f64 th) 4))
(/.f64 (.f64 (sqrt.f64 2) 4) (.f64 4 (cos.f64 th)))
(/.f64 (.f64 2 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 4)) 8)
(/.f64 (.f64 2 (neg.f64 (sqrt.f64 2))) (.f64 2 (neg.f64 (cos.f64 th))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 2) 4) (cos.f64 th)) 4)
(/.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 2)) 1/2)
(/.f64 (neg.f64 (.f64 2 (sqrt.f64 2))) (neg.f64 (.f64 (cos.f64 th) 2)))
(neg.f64 (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))

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

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (sqrt.f64 2) (cos.f64 th))
✓	0.3b	(/.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 (sqrt.f64 2) (cos.f64 th)))
✓	6.3b	(.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (*.f64 a1 a1)))
✓	42.6b	(/.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)

series11.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`rational.json-simplify-2`
812×	`rational.json-simplify-53`
758×	`rational.json-simplify-47`
724×	`rational.json-simplify-44`
618×	`rational.json-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	137
1	220	83
2	858	83
3	4646	83

Stop Event

1×	node limit

Counts

3 → 137

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (/.f64 a1 (/.f64 1 (*.f64 a2 (*.f64 a2 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (/.f64 1 (/.f64 (/.f64 1 a1) (*.f64 a2 (*.f64 a2 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (*.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 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)) (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (+.f64 a1 a1)) (/.f64 1 (/.f64 2 (*.f64 a2 (*.f64 a2 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (+.f64 a1 a1)) (fabs.f64 (/.f64 1 (/.f64 2 (*.f64 a2 (*.f64 a2 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))) 2) (/.f64 1 (*.f64 (/.f64 1 (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))) 2) (fabs.f64 (/.f64 1 (*.f64 (/.f64 1 (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (*.f64 a2 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))))) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a1 a1) (/.f64 a1 (/.f64 2 (*.f64 a2 (*.f64 a2 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 a1) (/.f64 (fabs.f64 a1) (/.f64 1 (*.f64 a2 (*.f64 a2 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 a1) (fabs.f64 (/.f64 a1 (/.f64 1 (*.f64 a2 (*.f64 a2 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 a1) (fabs.f64 (/.f64 1 (/.f64 (/.f64 1 a1) (*.f64 a2 (*.f64 a2 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 a1) (fabs.f64 (/.f64 (fabs.f64 a1) (/.f64 1 (*.f64 a2 (*.f64 a2 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a1 a1) (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1)))) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (fabs.f64 a1)) (fabs.f64 (/.f64 a1 (/.f64 2 (*.f64 a2 (*.f64 a2 (+.f64 (/.f64 (/.f64 1 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((#(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 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 a2 a2) (*.f64 (*.f64 a1 a1) (*.f64 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.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 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (*.f64 (/.f64 1 (*.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 (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 (*.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.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)) 2) (/.f64 1 (*.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cos.f64 th)) (/.f64 1 (*.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))) 2) (/.f64 1 (*.f64 (/.f64 1 (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (*.f64 a2 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))))) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a1 a1) (*.f64 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))))))) (#(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 1 (*.f64 (/.f64 1 (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (*.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 (sqrt.f64 2) (cos.f64 th)) (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (*.f64 2 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 1 (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) (*.f64 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.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))))))))

simplify192.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

992×	`rational.json-simplify-35`
846×	`rational.json-simplify-38`
612×	`rational.json-simplify-61`
564×	`rational.json-simplify-53`
562×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	349	9415
1	1172	9353
2	4762	8943

Stop Event

1×	node limit

Counts

221 → 210

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

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

eval462.0ms (3.1%)

Compiler: Compiled 21925 to 11679 computations (46.7% saved)

prune658.0ms (4.4%)

Pruning

57 alts after pruning (51 fresh and 6 done)

	Pruned	Kept	Total
New	821	33	854
Fresh	8	18	26
Picked	1	0	1
Done	1	6	7
Total	831	57	888

Error

0.0b

Counts

888 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	40.8b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
	39.6b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	53.1b	(/.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	47.2b	(/.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))))
	47.0b	(/.f64 (/.f64 (/.f64 2 (sqrt.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)))))
	46.8b	(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	46.6b	(/.f64 (/.f64 (/.f64 1 (sqrt.f64 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))))
	46.6b	(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2)) (/.f64 (/.f64 1/2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
	54.6b	(/.f64 (/.f64 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1))) (.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (*.f64 a1 a1)))) (sqrt.f64 2))
	31.2b	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	46.5b	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
	46.5b	(/.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)))
	46.5b	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)
	0.6b	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	26.4b	(/.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	46.5b	(/.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))
	26.3b	(/.f64 (/.f64 -1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (neg.f64 (sqrt.f64 2)))
✓	0.4b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶	0.4b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
✓	0.4b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2)))
✓	26.3b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	46.5b	(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (sqrt.f64 2))))
	46.5b	(/.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)))
✓	0.4b	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
	41.8b	(/.f64 (.f64 a1 (.f64 (.f64 a2 (.f64 a1 a2)) (+.f64 (/.f64 1 (*.f64 a2 a2)) (/.f64 (/.f64 1 a1) a1)))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	0.5b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	26.4b	(/.f64 2 (/.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (sqrt.f64 2))))
	26.4b	(/.f64 2 (.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	0.5b	(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
▶	26.3b	(/.f64 1 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	8.7b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (/.f64 (.f64 (.f64 a2 a2) (/.f64 (*.f64 a2 a2) a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) a2))
	0.4b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
	12.7b	(+.f64 (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))
	14.5b	(+.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.5b	(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (cos.f64 th))) (/.f64 1 (sqrt.f64 2)))
	0.5b	(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 2 (/.f64 2 (cos.f64 th))))
	44.1b	(.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))))
✓	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.6b	(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (*.f64 2 (cos.f64 th)))
	40.9b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
	39.6b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a1 2))
	39.6b	(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (pow.f64 a1 2))))
	26.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	46.4b	(.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)))))
	53.1b	(.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 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
	53.1b	(.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)))))))
✓	26.3b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	53.1b	(.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))))))
	46.7b	(.f64 (/.f64 1 (sqrt.f64 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))))))
▶	46.7b	(.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)))))
	47.5b	(.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))))))
	34.3b	(.f64 (/.f64 1 (sqrt.f64 2)) (.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))))))
	55.2b	(.f64 (/.f64 1 (sqrt.f64 2)) (.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 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
▶	0.5b	(.f64 (/.f64 -1 (/.f64 (sqrt.f64 2) (cos.f64 th))) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
	44.1b	(.f64 (.f64 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (.f64 a2 a2) (.f64 a1 a1)))
	41.3b	(.f64 (.f64 (.f64 a1 a1) (.f64 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 a2))
	42.0b	(.f64 a2 (.f64 (.f64 a2 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 (/.f64 1 a1) a1))) (/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) a1) (cos.f64 th)))))

Compiler

Compiled 2936 to 1568 computations (46.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	0.3b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
✓	0.6b	(/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 52 to 25 computations (51.9% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`rational.json-simplify-61`
768×	`rational.json-simplify-35`
732×	`rational.json-simplify-47`
672×	`rational.json-simplify-44`
666×	`bool.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	172	54
2	538	54
3	1647	54
4	7153	54

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 2 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (/.f64 1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 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 (sqrt.f64 2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 1/2 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 (/.f64 1/2 (cos.f64 th)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 1/2 (/.f64 1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 1 (*.f64 2 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) 4) (/.f64 1 (*.f64 (cos.f64 th) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 th)) (/.f64 1 (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 (cos.f64 th) (*.f64 2 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (cos.f64 th))) (/.f64 (sqrt.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) 2) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))) (/.f64 1/2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 th)) (*.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))

((#(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 1 (*.f64 (cos.f64 th) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (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 (cos.f64 th) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 1))))) (#(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 (cos.f64 th) (/.f64 2 (/.f64 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egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 2)) (*.f64 (cos.f64 th) (*.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)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.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 a2 a2) (*.f64 a1 a1)) 1/2) (/.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(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))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 th) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.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))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.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))))))))

simplify105.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational.json-simplify-51`
1198×	`rational.json-simplify-35`
986×	`rational.json-simplify-49`
970×	`rational.json-simplify-53`
922×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	255	5623
1	657	5495
2	1630	4873
3	4732	4835

Stop Event

1×	node limit

Counts

135 → 158

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`bool.json-1`
1590×	`bool.json-2`
1564×	`rational.json-1`
1564×	`rational.json-2`
1564×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	138	58
2	402	58
3	1059	58
4	3897	58

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 1 (/.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 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 2 (/.f64 (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 1/2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(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 (/.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 4) 1/4)))) (#(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 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (/.f64 1 (sqrt.f64 2))))))) (#(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 -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 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) -1)))) (#(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 2 (/.f64 (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 neg.f64 (neg.f64 (/.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.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 or (/.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (sqrt.f64 2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.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 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 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)) (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 1/2 (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 1/2 (/.f64 1 (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 2 (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 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (neg.f64 (sqrt.f64 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 1/2 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (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 not (not (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))))

simplify146.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1506×	`rational.json-simplify-51`
1114×	`rational.json-simplify-61`
1112×	`rational.json-simplify-41`
1052×	`rational.json-simplify-35`
994×	`rational.json-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	134	3769
1	303	3721
2	620	3721
3	1699	3601
4	4401	3541

Stop Event

1×	node limit

Counts

89 → 81

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	0.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	1.0b	(/.f64 1 (sqrt.f64 2))
✓	30.1b	(.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))))

Compiler

Compiled 105 to 28 computations (73.3% 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 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	@	0	(.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))))

rewrite165.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`rational.json-simplify-50`
1210×	`rational.json-simplify-2`
714×	`rational.json-simplify-61`
582×	`rational.json-simplify-44`
564×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	205
1	170	187
2	483	91
3	1297	91
4	6031	91

Stop Event

1×	node limit

Counts

3 → 292

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 0 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(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 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 0)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (+.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)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(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 1 (neg.f64 (neg.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.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 (+.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 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)) 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))) (*.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 4 (*.f64 (/.f64 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 4))))) (#(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 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 4) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.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 (/.f64 2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 4) 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)) 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)) (*.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))) (*.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)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 1 (+.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 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))) (#(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 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 (*.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 (*.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 -2 (neg.f64 (/.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 2 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) -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))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (+.f64 (*.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)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 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))) 4) (*.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)) (*.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 (*.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 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (neg.f64 (*.f64 (+.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 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 1 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (-.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 (neg.f64 (*.f64 (+.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)) (+.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 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 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (*.f64 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 2 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (*.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 (+.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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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a1)))) (neg.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.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)))))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.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 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2))))) (-.f64 0 (*.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.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))))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2)))))) (#(struct:change 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a1)) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.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))))))))

simplify266.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1558×	`rational.json-simplify-49`
1508×	`rational.json-simplify-51`
1394×	`rational.json-simplify-50`
1242×	`rational.json-simplify-46`
752×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	566	11490
1	2304	11322
2	5876	11306

Stop Event

1×	node limit

Counts

364 → 344

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

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

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	0.4b	(.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))))))
	1.0b	(/.f64 1 (sqrt.f64 2))
✓	41.4b	(.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)))))

Compiler

Compiled 177 to 34 computations (80.8% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a2	@	0	(.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)))))
0.0ms	a2	@	inf	(.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)))))
0.0ms	a1	@	inf	(.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)))))
0.0ms	a1	@	-inf	(.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)))))
0.0ms	a2	@	inf	(.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))))))

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2030×	`bool.json-1`
2030×	`bool.json-2`
1694×	`bool.json-3`
730×	`rational.json-simplify-35`
660×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	258
1	192	240
2	552	156
3	1618	48
4	5876	48

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

Inputs

(*.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 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))))))

Outputs

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(#(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) (*.f64 a1 a1)))) 4) (*.f64 (+.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 (+.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 (*.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)) (*.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) 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1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.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 (neg.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (-.f64 0 (neg.f64 (sqrt.f64 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 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.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 a2 a2) (*.f64 a1 a1)) (/.f64 (/.f64 2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))))

simplify111.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1550×	`rational.json-simplify-2`
1234×	`rational.json-simplify-44`
1168×	`rational.json-simplify-47`
1112×	`rational.json-simplify-61`
934×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	3694
1	866	3600
2	5544	3576

Stop Event

1×	node limit

Counts

148 → 114

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
	0.2b	(/.f64 (sqrt.f64 2) (cos.f64 th))
✓	0.3b	(.f64 (/.f64 -1 (/.f64 (sqrt.f64 2) (cos.f64 th))) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
✓	0.6b	(/.f64 -1 (/.f64 (sqrt.f64 2) (cos.f64 th)))

Compiler

Compiled 61 to 26 computations (57.4% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2100×	`bool.json-1`
2100×	`bool.json-2`
1788×	`bool.json-3`
582×	`rational.json-simplify-35`
532×	`rational.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	70
1	179	66
2	518	66
3	1381	58
4	5410	58

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cos.f64 th)) (/.f64 1/2 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cos.f64 th)) (*.f64 (/.f64 1/2 (neg.f64 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cos.f64 th)) (*.f64 1/2 (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cos.f64 th)) (/.f64 2 (neg.f64 (*.f64 (sqrt.f64 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) 4) (/.f64 1 (*.f64 2 (*.f64 (sqrt.f64 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) 4) (/.f64 1 (neg.f64 (*.f64 (sqrt.f64 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (/.f64 (sqrt.f64 2) (cos.f64 th))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (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 (cos.f64 th) (sqrt.f64 2)) -1)))) (#(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 1/2 (/.f64 -2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (sqrt.f64 2))) (*.f64 2 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 (/.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 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 -1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) -2) (cos.f64 th)) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (+.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 1 (neg.f64 (+.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 (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 (*.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) (neg.f64 (cos.f64 th))) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cos.f64 th)) (/.f64 (*.f64 (sqrt.f64 2) -2) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 (*.f64 (sqrt.f64 2) (/.f64 2 (cos.f64 th))) (neg.f64 (+.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 (sqrt.f64 2) (/.f64 2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) 4) (/.f64 (neg.f64 (*.f64 (sqrt.f64 2) 4)) (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)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) -2) (/.f64 (*.f64 (sqrt.f64 2) -2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) -2) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) -2) (cos.f64 th)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.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 (cos.f64 th) (sqrt.f64 2)) (/.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)) (+.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 (*.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 4) 4)))) (#(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)) 4) (*.f64 4 (/.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 -4 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 4) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) -2) (cos.f64 th)) (/.f64 (*.f64 (sqrt.f64 2) -2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 4) (*.f64 4 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -2 (/.f64 (sqrt.f64 2) (cos.f64 th)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (cos.f64 th))) (/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 th) 4)) (/.f64 (*.f64 (sqrt.f64 2) 4) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (cos.f64 th))) (/.f64 (*.f64 2 (sqrt.f64 2)) (neg.f64 (+.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 (cos.f64 th) (sqrt.f64 2))) 4) (*.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.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 -2 (/.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)) 4) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (sqrt.f64 2) (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.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 (/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) 4) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 1 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))))) (#(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 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (-.f64 0 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.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))))))))

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1592×	`rational.json-simplify-35`
1472×	`rational.json-simplify-49`
1190×	`rational.json-simplify-54`
954×	`rational.json-simplify-46`
828×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	217	4276
1	630	4264
2	1873	4264
3	5581	4264

Stop Event

1×	node limit

Counts

118 → 110

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

eval336.0ms (2.2%)

Compiler: Compiled 33021 to 12654 computations (61.7% saved)

prune583.0ms (3.9%)

Pruning

84 alts after pruning (74 fresh and 10 done)

	Pruned	Kept	Total
New	1026	41	1067
Fresh	13	33	46
Picked	0	1	1
Done	1	9	10
Total	1040	84	1124

Error

0.0b

Counts

1124 → 84

Alt Table

Click to see full alt table

Status	Error	Program
	40.8b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
	39.6b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	53.1b	(/.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	46.8b	(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	46.6b	(/.f64 (/.f64 (/.f64 1 (sqrt.f64 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))))
	46.6b	(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2)) (/.f64 (/.f64 1/2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
	54.6b	(/.f64 (/.f64 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1))) (.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (*.f64 a1 a1)))) (sqrt.f64 2))
	46.7b	(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
	34.1b	(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2)))
	53.1b	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.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)) (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	47.2b	(/.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))))
	53.1b	(/.f64 (/.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 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
	31.2b	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	46.5b	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
	46.5b	(/.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)))
	46.5b	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)
	55.0b	(/.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
	55.2b	(/.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 2)) (.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 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
	0.6b	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	46.6b	(/.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
	47.0b	(/.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)))))
	26.4b	(/.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	46.5b	(/.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))
	46.6b	(/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	46.9b	(/.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)))))
	26.3b	(/.f64 (/.f64 -1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (neg.f64 (sqrt.f64 2)))
	34.3b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
	47.2b	(/.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)))))
	34.0b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
✓	0.4b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓	0.4b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
✓	0.4b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2)))
	0.5b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 2) (.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (*.f64 (sqrt.f64 2) (cos.f64 th))) (cos.f64 th))))
✓	26.3b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	46.5b	(/.f64 (.f64 (+.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)))
	46.5b	(/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (sqrt.f64 2))))
	53.1b	(/.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 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
	46.5b	(/.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)))
	55.2b	(/.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 (.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 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
	53.1b	(/.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))) (sqrt.f64 2)))
	46.5b	(/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 -2 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -2))
✓	0.4b	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
	41.8b	(/.f64 (.f64 a1 (.f64 (.f64 a2 (.f64 a1 a2)) (+.f64 (/.f64 1 (*.f64 a2 a2)) (/.f64 (/.f64 1 a1) a1)))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	34.3b	(/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
	0.5b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	26.4b	(/.f64 2 (/.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (sqrt.f64 2))))
	46.8b	(/.f64 2 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
	26.4b	(/.f64 2 (.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	0.5b	(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	40.9b	(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
	39.6b	(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)))
	46.5b	(/.f64 1 (/.f64 (sqrt.f64 2) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
✓	26.3b	(/.f64 1 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	0.5b	(/.f64 -1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
	0.4b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
	12.7b	(+.f64 (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))
	14.5b	(+.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.6b	(.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	46.7b	(.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1/2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 2))
	44.1b	(.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (*.f64 a1 a1))))
✓	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	40.9b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
	39.6b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a1 2))
	53.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.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 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	57.1b	(.f64 (/.f64 1 (sqrt.f64 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 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
	46.6b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	53.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.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 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
	26.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 2 (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	39.6b	(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (pow.f64 a1 2))))
	53.1b	(.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)))))))
	26.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (/.f64 1 (/.f64 1 (.f64 a2 a2))) (/.f64 1 (/.f64 1 (*.f64 a1 a1)))))
✓	26.3b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	53.1b	(.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 2 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
✓	53.1b	(.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))))))
	54.2b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (pow.f64 a2 4)))
	52.6b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.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)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))))
	55.2b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.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 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 a2 a2) (.f64 a1 a1))))))))
	54.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (.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 (.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 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))))
	47.0b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
	34.3b	(.f64 (/.f64 1 (sqrt.f64 2)) (.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))))))
✓	0.5b	(.f64 (/.f64 -1 (/.f64 (sqrt.f64 2) (cos.f64 th))) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
	44.1b	(.f64 (.f64 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (.f64 a2 a2) (.f64 a1 a1)))
	42.0b	(.f64 a2 (.f64 (.f64 a2 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 (/.f64 1 a1) a1))) (/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) a1) (cos.f64 th)))))

Compiler

Compiled 2686 to 1232 computations (54.1% saved)

regimes1.1s (7.3%)

Counts

124 → 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 2 (.f64 (sqrt.f64 2) (/.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 (/.f64 -1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (neg.f64 (sqrt.f64 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 2 (/.f64 2 (+.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 (/.f64 1 (sqrt.f64 2)) (+.f64 (/.f64 1 (/.f64 1 (.f64 a2 a2))) (/.f64 1 (/.f64 1 (*.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 a2 a2) (.f64 a1 a1)) (+.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 (.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 (.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)) (+.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)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1))) (.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (*.f64 a1 a1)))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 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 (/.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 (.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 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 (sqrt.f64 2) (+.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 (sqrt.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 (/.f64 (sqrt.f64 2) (+.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 (/.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 2 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 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 a2 a2) (.f64 a1 a1))) (/.f64 -2 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -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 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (sqrt.f64 2) (/.f64 2 (+.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 2 (sqrt.f64 2)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (/.f64 2 (+.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 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.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 (/.f64 2 (sqrt.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 1 (sqrt.f64 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 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 1 (sqrt.f64 2)) (/.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.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)) (/.f64 1/2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 2))
(/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2)) (/.f64 (/.f64 1/2 (+.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 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (.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 (.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))) (sqrt.f64 2)))
(/.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)) (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 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 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 (.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 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 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)) (sqrt.f64 2))) (/.f64 2 (+.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 (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 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.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 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.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 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 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)) (+.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 (/.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 2 (.f64 (/.f64 1 (+.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 (.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)) (sqrt.f64 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 a2 a2) (.f64 a1 a1)))) (sqrt.f64 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 (+.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)) (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 (.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 1 (sqrt.f64 2)) (.f64 (/.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 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 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 (.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 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
(.f64 (/.f64 1 (sqrt.f64 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 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.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 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.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 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))))))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a1 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 a2 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 (/.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 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 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 (/.f64 -1 (/.f64 (sqrt.f64 2) (cos.f64 th))) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 -1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (cos.f64 th) (/.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 2 (/.f64 2 (cos.f64 th))))
(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (cos.f64 th))) (/.f64 1 (sqrt.f64 2)))
(/.f64 (/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (pow.f64 a2 4)))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (*.f64 2 (cos.f64 th)))
(.f64 (.f64 (cos.f64 th) 4) (/.f64 1 (.f64 2 (.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
(.f64 a2 (.f64 (.f64 a2 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 (/.f64 1 a1) a1))) (/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) a1) (cos.f64 th)))))
(.f64 (.f64 (.f64 a1 a1) (.f64 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 a2))
(.f64 (.f64 (+.f64 (/.f64 (/.f64 1 a2) a2) (/.f64 1 (.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.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 1 a2) a2) (/.f64 1 (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 (.f64 a2 (.f64 a1 a2)) (+.f64 (/.f64 1 (*.f64 a2 a2)) (/.f64 (/.f64 1 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 (+.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 (.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 (/.f64 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1))) (.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (*.f64 a1 a1)))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (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 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 1 a1) a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) 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 a1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (*.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 a2 (/.f64 1 (cos.f64 th)))))
(+.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 1 a1) a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.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 (/.f64 1 a1) (/.f64 1 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 (.f64 (.f64 a2 a2) (/.f64 (*.f64 a2 a2) a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) a2))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 a1 a1) (/.f64 (.f64 a1 a1) a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))) 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 (cos.f64 th) (.f64 (.f64 a2 (neg.f64 a2)) (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 (*.f64 a2 a2) (neg.f64 a2)))))))
(.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 (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)) (.f64 (sqrt.f64 2) (.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (*.f64 (sqrt.f64 2) (cos.f64 th))) (cos.f64 th))))

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

Calls

8 calls:

159.0ms	th
152.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
151.0ms	a1
149.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
124.0ms	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 3520 to 1125 computations (68% saved)

regimes366.0ms (2.4%)

Counts

79 → 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 2 (.f64 (sqrt.f64 2) (/.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 (/.f64 -1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (neg.f64 (sqrt.f64 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 2 (/.f64 2 (+.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 (/.f64 1 (sqrt.f64 2)) (+.f64 (/.f64 1 (/.f64 1 (.f64 a2 a2))) (/.f64 1 (/.f64 1 (*.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 a2 a2) (.f64 a1 a1)) (+.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 (.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 (.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)) (+.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)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1))) (.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (*.f64 a1 a1)))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 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 (/.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 (.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 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 (sqrt.f64 2) (+.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 (sqrt.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 (/.f64 (sqrt.f64 2) (+.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 (/.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 2 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 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 a2 a2) (.f64 a1 a1))) (/.f64 -2 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -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 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (sqrt.f64 2) (/.f64 2 (+.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 2 (sqrt.f64 2)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (/.f64 2 (+.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 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.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 (/.f64 2 (sqrt.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 1 (sqrt.f64 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 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 1 (sqrt.f64 2)) (/.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.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)) (/.f64 1/2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 2))
(/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2)) (/.f64 (/.f64 1/2 (+.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 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (.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 (.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))) (sqrt.f64 2)))
(/.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)) (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 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 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 (.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 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 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)) (sqrt.f64 2))) (/.f64 2 (+.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 (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 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.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 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.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 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 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)) (+.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 (/.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 2 (.f64 (/.f64 1 (+.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 (.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)) (sqrt.f64 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 a2 a2) (.f64 a1 a1)))) (sqrt.f64 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 (+.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)) (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 (.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 1 (sqrt.f64 2)) (.f64 (/.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 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 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 (.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 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
(.f64 (/.f64 1 (sqrt.f64 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 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.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 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.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 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))))))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a1 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 a2 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 (/.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 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))

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

Calls

7 calls:

138.0ms	th
58.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
38.0ms	a1
34.0ms	a2
28.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 2567 to 686 computations (73.3% saved)

regimes232.0ms (1.5%)

Counts

78 → 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 2 (.f64 (sqrt.f64 2) (/.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 (/.f64 -1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (neg.f64 (sqrt.f64 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 2 (/.f64 2 (+.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 (/.f64 1 (sqrt.f64 2)) (+.f64 (/.f64 1 (/.f64 1 (.f64 a2 a2))) (/.f64 1 (/.f64 1 (*.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 a2 a2) (.f64 a1 a1)) (+.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 (.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 (.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)) (+.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)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1))) (.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (*.f64 a1 a1)))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 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 (/.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 (.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 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 (sqrt.f64 2) (+.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 (sqrt.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 (/.f64 (sqrt.f64 2) (+.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 (/.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 2 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 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 a2 a2) (.f64 a1 a1))) (/.f64 -2 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -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 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (sqrt.f64 2) (/.f64 2 (+.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 2 (sqrt.f64 2)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (/.f64 2 (+.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 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.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 (/.f64 2 (sqrt.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 1 (sqrt.f64 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 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 1 (sqrt.f64 2)) (/.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.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)) (/.f64 1/2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 2))
(/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2)) (/.f64 (/.f64 1/2 (+.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 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (.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 (.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))) (sqrt.f64 2)))
(/.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)) (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 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 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 (.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 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 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)) (sqrt.f64 2))) (/.f64 2 (+.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 (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 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.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 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.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 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 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)) (+.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 (/.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 2 (.f64 (/.f64 1 (+.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 (.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)) (sqrt.f64 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 a2 a2) (.f64 a1 a1)))) (sqrt.f64 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 (+.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)) (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 (.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 1 (sqrt.f64 2)) (.f64 (/.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 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 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 (.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 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
(.f64 (/.f64 1 (sqrt.f64 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 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.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 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.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 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))))))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a1 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 a2 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 (/.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))))

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

Calls

7 calls:

36.0ms	th
35.0ms	a1
33.0ms	a2
28.0ms	(cos.f64 th)
28.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

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

Compiler

Compiled 2554 to 682 computations (73.3% saved)

regimes170.0ms (1.1%)

Accuracy

Total -37.5b remaining (-142.6%)

Threshold costs -37.5b (-142.6%)

Counts

75 → 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 2 (.f64 (sqrt.f64 2) (/.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 (/.f64 -1 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (neg.f64 (sqrt.f64 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 2 (/.f64 2 (+.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 (/.f64 1 (sqrt.f64 2)) (+.f64 (/.f64 1 (/.f64 1 (.f64 a2 a2))) (/.f64 1 (/.f64 1 (*.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 a2 a2) (.f64 a1 a1)) (+.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 (.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 (.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)) (+.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)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (.f64 a1 a1))) (.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 1 (*.f64 a1 a1)))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 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 (/.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 (.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 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (/.f64 (sqrt.f64 2) (+.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 (sqrt.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 (/.f64 (sqrt.f64 2) (+.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 (/.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 2 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 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 a2 a2) (.f64 a1 a1))) (/.f64 -2 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -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 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (sqrt.f64 2) (/.f64 2 (+.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 2 (sqrt.f64 2)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 2)
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (/.f64 2 (+.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 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (sqrt.f64 2) (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.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 (/.f64 2 (sqrt.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 1 (sqrt.f64 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 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 1 (sqrt.f64 2)) (/.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.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)) (/.f64 1/2 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (/.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 2))
(/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 2 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2)) (/.f64 (/.f64 1/2 (+.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 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1/2) (/.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (.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 (.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))) (sqrt.f64 2)))
(/.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)) (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 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2)) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 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 (.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 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 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)) (sqrt.f64 2))) (/.f64 2 (+.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 (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 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.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 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.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 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 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)) (+.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 (/.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 2 (.f64 (/.f64 1 (+.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 (.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)) (sqrt.f64 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 a2 a2) (.f64 a1 a1)))) (sqrt.f64 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 (+.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)) (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 (.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 1 (sqrt.f64 2)) (.f64 (/.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 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 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 (.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 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
(.f64 (/.f64 1 (sqrt.f64 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 a2 a2) (.f64 a1 a1)))) (/.f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.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 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (+.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 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))))))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a1 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 a2 2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (pow.f64 a1 2))))

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

Calls

5 calls:

34.0ms	th
32.0ms	a1
31.0ms	a2
26.0ms	(*.f64 a1 a1)
17.0ms	(*.f64 a2 a2)

Results

Error	Segments	Branch
26.3b	1	`a1`
26.3b	1	`a2`
26.3b	1	`th`
26.3b	1	`(*.f64 a1 a1)`
26.3b	1	`(*.f64 a2 a2)`

Compiler

Compiled 2502 to 657 computations (73.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	146

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 61 to 42 computations (31.1% saved)

soundness301.0ms (2%)

Algorithm

2×	egg-herbie

Rules

1844×	`rational.json-simplify-35`
1472×	`rational.json-simplify-51`
1234×	`rational.json-simplify-2`
1172×	`rational.json-simplify-2`
934×	`rational.json-simplify-44`

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
0	211	4003
1	572	4003
2	2539	3999
3	5097	3999

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 85 to 46 computations (45.9% saved)

end30.0ms (0.2%)

Remove: (sort a1 a2)
Compiler: Compiled 84 to 45 computations (46.4% saved)