Details

analyze357.0ms (2.6%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample3.9s (27.9%)

Results

1.0s	1895×	body	1024	valid
963.0ms	5458×	body	256	valid
862.0ms	1571×	body	1024	infinite
388.0ms	1555×	body	256	infinite
320.0ms	844×	body	512	infinite
316.0ms	902×	body	512	valid
1.0ms	1×	body	2048	valid

Bogosity

preprocess16.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

180×	`fma-def`
140×	`*-commutative`
114×	`associate-/l*`
48×	`associate-r`
48×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	156
1	72	140
2	146	140
3	208	140
4	286	140
5	334	140
6	382	140
7	395	140
8	401	140
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort a1 a2)

Compiler

Compiled 25 to 18 computations (28% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

60×	`fma-def`
50×	`*-commutative`
40×	`associate-/l*`
18×	`associate-/r/`
16×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	30	35
2	56	35
3	79	35
4	106	35
5	124	35
6	142	35
7	147	35
8	149	35

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 59 to 29 computations (50.8% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Error

0.3b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	0.4b	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))

Compiler

Compiled 31 to 21 computations (32.3% saved)

localize34.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 41 to 16 computations (61% saved)

series10.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`associate-*r/`
856×	`associate-*l/`
790×	`associate-/r*`
596×	`associate-/l*`
430×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	280	56
2	3399	56

Stop Event

1×	node limit

Counts

2 → 155

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 2 -1/2) (.f64 a2 a2)) (.f64 (pow.f64 2 -1/2) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 2 -1/2) (.f64 a1 a1)) (.f64 (pow.f64 2 -1/2) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 2 -1/2) (.f64 (.f64 a1 a1) 1)) (.f64 (pow.f64 2 -1/2) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a2 a2) (pow.f64 2 -1/2)) (.f64 (.f64 a1 a1) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a1 a1) (pow.f64 2 -1/2)) (.f64 (.f64 a2 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 a1 a1) 1) (pow.f64 2 -1/2)) (.f64 (.f64 a2 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 a1 a2) (.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a1 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (hypot.f64 a1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 a1 a2) (cbrt.f64 2)) (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (sqrt.f64 2)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cos.f64 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Outputs

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simplify147.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1322×	`associate-/l*`
708×	`distribute-frac-neg`
596×	`distribute-lft-in`
590×	`distribute-rgt-in`
572×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	435	9563
1	1120	9125
2	5292	8945

Stop Event

1×	node limit

Counts

215 → 253

Calls

Call 1

Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
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(/.f64 (*.f64 (/.f64 (cos.f64 th) 1) 1) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) 1) (hypot.f64 a1 a2)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) 1) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) 1) (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) 1) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (*.f64 (/.f64 (cos.f64 th) 1) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) 1) -1) (neg.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (pow.f64 a2 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 a2 a2) 3) (pow.f64 (.f64 a1 a1) 3)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (pow.f64 a2 4)) (.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (cos.f64 th)) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)) (cos.f64 th)) (pow.f64 2 1/4))
(/.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 -1 (cos.f64 th)) (neg.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 1 (cos.f64 th))) 1) (sqrt.f64 2))
(/.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) 1) (pow.f64 2 1/4))
(/.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cbrt.f64 2) (cos.f64 th))) 1) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) 1) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) (*.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th)))) (pow.f64 2 1/4))
(/.f64 (.f64 1 (.f64 (cos.f64 th) (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)))) (sqrt.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (.f64 (hypot.f64 a1 a2) (.f64 (cos.f64 th) (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)))) (pow.f64 2 1/4))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (.f64 (cos.f64 th) (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 2))
(/.f64 (/.f64 (cos.f64 th) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))) (cbrt.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (/.f64 (cos.f64 th) (/.f64 1 (hypot.f64 a1 a2))) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
(/.f64 (/.f64 (cos.f64 th) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (hypot.f64 a1 a2))) (/.f64 (pow.f64 2 1/4) (hypot.f64 a1 a2)))
(/.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (hypot.f64 a1 a2))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (hypot.f64 a1 a2)))
(/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 1 (cos.f64 th))) 1) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 1 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) 1) (pow.f64 2 1/4))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (sqrt.f64 (pow.f64 2 1/4))) (sqrt.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (sqrt.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cbrt.f64 2) (cos.f64 th))) 1) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cbrt.f64 2) (cos.f64 th))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cbrt.f64 2) (cos.f64 th))) (cbrt.f64 (pow.f64 2 1/4))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cbrt.f64 2) (cos.f64 th))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cbrt.f64 2) (cos.f64 th))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) 1) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (pow.f64 2 1/4)) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (cbrt.f64 2)) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) -1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(pow.f64 (*.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))

Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
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(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 2 -1/2))
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(.f64 (pow.f64 2 -1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 2 -1/2))
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(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 17 computations (59.5% saved)

series4.0ms (0%)

Counts

3 → 64

Calls

18 calls:

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

rewrite116.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`associate-/r*`
844×	`associate-/l*`
836×	`distribute-rgt-in`
794×	`distribute-lft-in`
310×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	299	61
2	4071	61

Stop Event

1×	node limit

Counts

3 → 265

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (pow.f64 2 -1/2))))) (#(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 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 -1/2) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 th)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)) (sqrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (sqrt.f64 2)) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) 1) (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) 1) (.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) 1)) (.f64 1 (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) 1) 1) (.f64 (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 a1 a2) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (hypot.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 1 (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.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 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a1 a1))) (-.f64 1 (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 a2))) (-.f64 1 (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 a1 4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (/.f64 (pow.f64 a2 4) (+.f64 a1 a2)) (-.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a1 a1) (exp.f64 (log1p.f64 (*.f64 a2 a2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a2 a2) (exp.f64 (log1p.f64 (*.f64 a1 a1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 a1 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))))) (#(struct:change #<rule egg-rr> (2) 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pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a1 a1 (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a2 a2 (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a1 a1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a2 a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (*.f64 a2 a2)) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 (*.f64 a1 a1)) (*.f64 a2 a2))))))

simplify220.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1204×	`associate-/r*`
1106×	`associate-r`
1030×	`associate-/l/`
878×	`associate-l`
738×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	719	17331
1	2004	17125

Stop Event

1×	node limit

Counts

329 → 440

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)))))
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(/.f64 (/.f64 (.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (neg.f64 (sqrt.f64 2))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (/.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (sqrt.f64 2))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (cos.f64 th)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (neg.f64 (cos.f64 th))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (cos.f64 th)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) 1) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (neg.f64 (cos.f64 th))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 1) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (pow.f64 2 1/4)) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 2)) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (neg.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) -1) (sqrt.f64 2))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th)) 1)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 a1 a1))) (-.f64 1 (.f64 a2 a2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 a2 a2))) (-.f64 1 (.f64 a1 a1)))
(-.f64 (/.f64 (pow.f64 a1 4) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 (pow.f64 a2 4) (+.f64 a1 a2)) (-.f64 a1 a2)))
(-.f64 (+.f64 (.f64 a1 a1) (exp.f64 (log1p.f64 (.f64 a2 a2)))) 1)
(-.f64 (+.f64 (.f64 a2 a2) (exp.f64 (log1p.f64 (.f64 a1 a1)))) 1)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(*.f64 1 (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 1 (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))))
(.f64 (/.f64 1 (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))
(.f64 (/.f64 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))
(*.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (+.f64 (pow.f64 a1 4) (+.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2))))
(.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2)) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2))))) (+.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2)))
(.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 (pow.f64 a1 4) 3) (pow.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2)) 3))) (+.f64 (.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (-.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2)) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2))) (.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2))))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))) (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (-.f64 (.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (.f64 (pow.f64 a2 6) (pow.f64 a2 6))) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (-.f64 (.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (.f64 (pow.f64 a2 4) (pow.f64 a2 4))) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a1 6) 3) (pow.f64 (pow.f64 a2 6) 3)) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (+.f64 (.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (-.f64 (.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (*.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a1 4) 3) (pow.f64 (pow.f64 a2 4) 3)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (+.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (neg.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 (cbrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (cbrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))))) (cbrt.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (+.f64 a1 a2)) (-.f64 a1 a2))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) 1) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))))) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(pow.f64 (hypot.f64 a1 a2) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))))
(exp.f64 (.f64 (.f64 2 (log.f64 (hypot.f64 a1 a2))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 1 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 1 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (.f64 a2 a2)) (.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 (.f64 a1 a1)) (.f64 a2 a2))

Outputs
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (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))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.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)))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (fma.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 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (+.f64 (.f64 -1/2 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th)))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 -1/2 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th)))) (+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(+.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 (fma.f64 -1/2 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))) (.f64 1/24 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4))))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))) (/.f64 (.f64 1/24 (fma.f64 a2 a2 (.f64 a1 a1))) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))) (+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(+.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)))))))
(fma.f64 -1/720 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))) (.f64 1/24 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4))))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(fma.f64 -1/720 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))) (/.f64 (.f64 1/24 (fma.f64 a2 a2 (.f64 a1 a1))) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))) (+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))))
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(.f64 (/.f64 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(*.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (hypot.f64 a1 a2) 2)
(.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (+.f64 (pow.f64 a1 4) (+.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2))))
(.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (+.f64 (pow.f64 a1 4) (+.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2))))
(.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2)) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2))))) (+.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2)))
(.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (pow.f64 a1 8) (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2)) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2))))) (+.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a2 a1) 2)))
(.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 (pow.f64 a1 4) 3) (pow.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2)) 3))) (+.f64 (.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (-.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2)) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2))) (.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2))))))
(.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 (pow.f64 a1 4) 3) (pow.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2)) 3))) (+.f64 (pow.f64 a1 8) (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2)) (-.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2)) (pow.f64 a1 4)))))
(/.f64 (.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 8) (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2)) (-.f64 (pow.f64 a2 4) (+.f64 (pow.f64 (.f64 a2 a1) 2) (pow.f64 a1 4)))))) (+.f64 (pow.f64 (pow.f64 a1 4) 3) (pow.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2)) 3)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(pow.f64 (hypot.f64 a1 a2) 2)
(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(-.f64 (/.f64 (pow.f64 a1 4) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (pow.f64 a2 4) (*.f64 (-.f64 a1 a2) (+.f64 a2 a1))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (pow.f64 (hypot.f64 a1 a2) 2)))
(.f64 (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))) (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))) (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (/.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (-.f64 (.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (.f64 (pow.f64 a2 6) (pow.f64 a2 6))) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (-.f64 (pow.f64 a1 12) (pow.f64 a2 12)) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (-.f64 (pow.f64 a1 12) (pow.f64 a2 12)) (.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2))) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (-.f64 (.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (.f64 (pow.f64 a2 4) (pow.f64 a2 4))) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(/.f64 (-.f64 (pow.f64 a1 8) (pow.f64 a2 8)) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a1 6) 3) (pow.f64 (pow.f64 a2 6) 3)) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (+.f64 (.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (-.f64 (.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (*.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a1 6) 3) (pow.f64 (pow.f64 a2 6) 3)) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (+.f64 (pow.f64 a1 12) (-.f64 (pow.f64 a2 12) (*.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a1 6) 3) (pow.f64 (pow.f64 a2 6) 3)) (.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2))) (-.f64 (+.f64 (pow.f64 a1 12) (pow.f64 a2 12)) (*.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a1 4) 3) (pow.f64 (pow.f64 a2 4) 3)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (+.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a1 4) 3) (pow.f64 (pow.f64 a2 4) 3)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (pow.f64 a1 8) (+.f64 (pow.f64 a2 8) (.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (neg.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(neg.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (neg.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (+.f64 a2 a1) (neg.f64 (-.f64 a1 a2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(-.f64 (/.f64 (pow.f64 a1 4) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (pow.f64 a2 4) (*.f64 (-.f64 a1 a2) (+.f64 a2 a1))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 (cbrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (cbrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))))) (cbrt.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 (cbrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cbrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (cbrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (+.f64 a1 a2)) (-.f64 a1 a2))
(-.f64 (/.f64 (pow.f64 a1 4) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (pow.f64 a2 4) (*.f64 (-.f64 a1 a2) (+.f64 a2 a1))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) 1) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))))) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (sqrt.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2)))) (sqrt.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))) (.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (cbrt.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2)))) (cbrt.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2))))))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(pow.f64 (hypot.f64 a1 a2) 2)
(pow.f64 (hypot.f64 a1 a2) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 3)
(pow.f64 (hypot.f64 a1 a2) 2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) 1/3)
(pow.f64 (hypot.f64 a1 a2) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(pow.f64 (hypot.f64 a1 a2) 2)
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3))
(pow.f64 (hypot.f64 a1 a2) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(exp.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))))
(pow.f64 (exp.f64 2) (log.f64 (hypot.f64 a1 a2)))
(exp.f64 (.f64 (.f64 2 (log.f64 (hypot.f64 a1 a2))) 1))
(pow.f64 (exp.f64 2) (log.f64 (hypot.f64 a1 a2)))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 1 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 1 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (.f64 a2 a2)) (.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 (.f64 a1 a1)) (.f64 a2 a2))

eval328.0ms (2.4%)

Compiler: Compiled 15672 to 9441 computations (39.8% saved)

prune162.0ms (1.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	676	17	693
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	678	17	695

Error

Counts

695 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶	25.8b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	33.3b	(/.f64 (.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (pow.f64 a2 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
	25.6b	(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
▶	29.9b	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	0.7b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
	25.6b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	29.9b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
	25.6b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
	25.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	0.5b	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	25.6b	(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
	29.9b	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	25.6b	(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
▶	0.5b	(.f64 (cos.f64 th) (+.f64 (.f64 (pow.f64 2 -1/2) (.f64 a2 a2)) (.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))))
	0.5b	(.f64 (cos.f64 th) (.f64 (pow.f64 2 -1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	26.7b	(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 4) 2)))

Compiler

Compiled 502 to 362 computations (27.9% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series3.0ms (0%)

Counts

3 → 64

Calls

18 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	a2	@	0	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.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)))

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1790×	`associate-/l*`
802×	`associate-/r/`
652×	`associate-/l/`
606×	`distribute-lft-in`
310×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	299	61
2	4065	61

Stop Event

1×	node limit

Counts

3 → 174

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (*.f64 -1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (*.f64 (/.f64 (hypot.f64 a2 a1) 1) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) 1) (*.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (cos.f64 th)) (hypot.f64 a2 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 1/4)) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (sqrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) -1) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (neg.f64 (sqrt.f64 2)))) (neg.f64 (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1) (/.f64 (cos.f64 th) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 (cos.f64 th)))) (sqrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 th)) 2))) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) -1) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) -1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (neg.f64 (neg.f64 (sqrt.f64 2)))) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (+.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))) (+.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))) (*.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) 1) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (cbrt.f64 (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) 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simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

972×	`times-frac`
936×	`associate-r`
842×	`associate-/l*`
814×	`associate-l`
608×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	498	8746
1	1425	8430

Stop Event

1×	node limit

Counts

238 → 273

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))))))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 (/.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 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 1)
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(.f64 1 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (hypot.f64 a2 a1) (.f64 (hypot.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))
(.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (.f64 -1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1) (cos.f64 th))
(.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (cos.f64 th))))
(.f64 (.f64 -1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (.f64 (/.f64 (hypot.f64 a2 a1) 1) (cos.f64 th)))
(.f64 (/.f64 (hypot.f64 a2 a1) 1) (.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (cos.f64 th)) (hypot.f64 a2 a1))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (cos.f64 th))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) 1) (.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 1/4)) (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))) (cbrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) -1) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (neg.f64 (sqrt.f64 2)))) (neg.f64 (neg.f64 (cos.f64 th))))
(*.f64 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1) (cos.f64 th))
(*.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1) (/.f64 (cos.f64 th) 1))
(*.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 (cos.f64 th)))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 th)) 2))) (cbrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) -1) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) -1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (neg.f64 (neg.f64 (sqrt.f64 2)))) (neg.f64 (cos.f64 th)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (pow.f64 (hypot.f64 a2 a1) 2))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (+.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))) (+.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)) 3))) (-.f64 (+.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))) (.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(.f64 (/.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th)))
(.f64 (/.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (cos.f64 th))))
(*.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) 1) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (cbrt.f64 (neg.f64 (cos.f64 th))))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1)
(*.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 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (/.f64 1 (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (cos.f64 th))))
(*.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 (cos.f64 th))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 th))) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 1 (cos.f64 th)))
(*.f64 -1 (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (/.f64 1 (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 2 1/4) (cos.f64 th)) (pow.f64 2 1/4))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))) 1) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 2) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 th) (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3) 1/3)
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(sqrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 (cos.f64 th) 3) (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 a2 a2))) (-.f64 1 (.f64 a1 a1)))
(-.f64 (exp.f64 (log1p.f64 (.f64 a1 a1))) (-.f64 1 (.f64 a2 a2)))
(-.f64 (/.f64 (pow.f64 a2 4) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (pow.f64 a1 4) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(-.f64 (+.f64 (.f64 a2 a2) (exp.f64 (log1p.f64 (.f64 a1 a1)))) 1)
(-.f64 (+.f64 (.f64 a1 a1) (exp.f64 (log1p.f64 (.f64 a2 a2)))) 1)
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)
(*.f64 1 (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (hypot.f64 a2 a1) (hypot.f64 a2 a1))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (/.f64 1 (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))))
(.f64 (/.f64 1 (-.f64 (.f64 a2 a2) (*.f64 a1 a1))) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)))
(.f64 (/.f64 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)))
(*.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (pow.f64 (hypot.f64 a2 a1) 2))
(.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (+.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))
(.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))) (+.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (.f64 a2 a1) 2)))
(.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)) 3))) (-.f64 (+.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))) (.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 a2 a1) 2)))
(/.f64 (hypot.f64 a2 a1) (/.f64 1 (hypot.f64 a2 a1)))
(/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (/.f64 1 (/.f64 1 (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))))
(/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (pow.f64 (hypot.f64 a2 a1) 2)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))) (sqrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (cbrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)))) (/.f64 (-.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cbrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (cbrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (cbrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (neg.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 1 (neg.f64 (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (.f64 1 (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))))
(/.f64 (-.f64 (.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (.f64 (pow.f64 a1 6) (pow.f64 a1 6))) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 1 (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (.f64 (pow.f64 a1 4) (pow.f64 a1 4))) (.f64 (-.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a2 6) 3) (pow.f64 (pow.f64 a1 6) 3)) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (+.f64 (.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (-.f64 (.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (*.f64 (pow.f64 a2 6) (pow.f64 a1 6))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (pow.f64 a1 4) 3)) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (+.f64 (.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (.f64 (pow.f64 a2 4) (pow.f64 a1 4))))))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)
(pow.f64 (hypot.f64 a2 a1) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(exp.f64 (*.f64 2 (log.f64 (hypot.f64 a2 a1))))
(exp.f64 (.f64 (.f64 2 (log.f64 (hypot.f64 a2 a1))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 1 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 1 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 a2))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 a1 a1))

Outputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(.f64 a1 (.f64 a1 (/.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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(.f64 a1 (.f64 a1 (/.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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
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(/.f64 (-.f64 (pow.f64 a2 12) (pow.f64 a1 12)) (.f64 (-.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2)))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 1 (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (-.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (.f64 (pow.f64 a1 4) (pow.f64 a1 4))) (.f64 (-.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 a2 8) (pow.f64 a1 8)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)))
(/.f64 (-.f64 (pow.f64 a2 8) (pow.f64 a1 8)) (.f64 (-.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a2 6) 3) (pow.f64 (pow.f64 a1 6) 3)) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (+.f64 (.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (-.f64 (.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (*.f64 (pow.f64 a2 6) (pow.f64 a1 6))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a2 6) 3) (pow.f64 (pow.f64 a1 6) 3)) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (+.f64 (pow.f64 a2 12) (*.f64 (pow.f64 a1 6) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 a2 6) 3) (pow.f64 (pow.f64 a1 6) 3)) (fma.f64 (pow.f64 a1 6) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (pow.f64 a2 12))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (pow.f64 a1 4) 3)) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (+.f64 (.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (.f64 (pow.f64 a2 4) (pow.f64 a1 4))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (pow.f64 a1 4) 3)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (pow.f64 a2 8) (+.f64 (pow.f64 a1 8) (*.f64 (pow.f64 a2 4) (pow.f64 a1 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (pow.f64 a1 4) 3)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (pow.f64 a2 8) (fma.f64 (pow.f64 a2 4) (pow.f64 a1 4) (pow.f64 a1 8))))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)
(pow.f64 (hypot.f64 a2 a1) 2)
(pow.f64 (hypot.f64 a2 a1) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 3)
(pow.f64 (hypot.f64 a2 a1) 2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) 1/3)
(pow.f64 (hypot.f64 a2 a1) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2))
(sqrt.f64 (pow.f64 (hypot.f64 a2 a1) 4))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(pow.f64 (hypot.f64 a2 a1) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2))))
(pow.f64 (hypot.f64 a2 a1) 2)
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3))
(pow.f64 (hypot.f64 a2 a1) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(pow.f64 (hypot.f64 a2 a1) 2)
(exp.f64 (*.f64 2 (log.f64 (hypot.f64 a2 a1))))
(pow.f64 (hypot.f64 a2 a1) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (hypot.f64 a2 a1))) 1))
(pow.f64 (hypot.f64 a2 a1) 2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(pow.f64 (hypot.f64 a2 a1) 2)
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 1 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 1 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 a2))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 a1 a1))

localize10.0ms (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)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`associate-*r/`
990×	`*-commutative`
778×	`associate-/r*`
752×	`associate-*l/`
616×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	233	23
2	3053	23

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2)) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a2 a1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (hypot.f64 a2 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (/.f64 (hypot.f64 a2 a1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))) (/.f64 1 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 2))) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (sqrt.f64 2)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (+.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 2)) (-.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))) (+.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 2)) (+.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))) (*.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))))

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1186×	`associate-*r/`
872×	`associate-/l*`
778×	`associate-+r-`
756×	`associate-+l-`
752×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	2637
1	401	2549
2	1536	2479
3	6966	2479

Stop Event

1×	node limit

Counts

75 → 78

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 2 -1/2) (.f64 a2 a2)) (.f64 (pow.f64 2 -1/2) (.f64 a1 a1)))
(+.f64 (.f64 (pow.f64 2 -1/2) (.f64 a1 a1)) (.f64 (pow.f64 2 -1/2) (.f64 a2 a2)))
(+.f64 (.f64 (.f64 a2 a2) (pow.f64 2 -1/2)) (.f64 (.f64 a1 a1) (pow.f64 2 -1/2)))
(+.f64 (.f64 (.f64 a1 a1) (pow.f64 2 -1/2)) (.f64 (.f64 a2 a2) (pow.f64 2 -1/2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 1)
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)))
(*.f64 (hypot.f64 a2 a1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (hypot.f64 a2 a1))
(*.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (/.f64 (hypot.f64 a2 a1) 1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) 1))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))) (/.f64 1 (cbrt.f64 2)))
(*.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 2))) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (sqrt.f64 2)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (pow.f64 (hypot.f64 a2 a1) 2))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (+.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 2)) (-.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))) (+.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (.f64 a2 a1) 2)))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 2)) (+.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)) 3))) (-.f64 (+.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))) (.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))

Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (.f64 (pow.f64 2 -1/2) (.f64 a2 a2)) (.f64 (pow.f64 2 -1/2) (.f64 a1 a1)))
(.f64 (pow.f64 2 -1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (.f64 a2 a2)))
(+.f64 (.f64 (pow.f64 2 -1/2) (.f64 a1 a1)) (.f64 (pow.f64 2 -1/2) (.f64 a2 a2)))
(.f64 (pow.f64 2 -1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (.f64 a2 a2)))
(+.f64 (.f64 (.f64 a2 a2) (pow.f64 2 -1/2)) (.f64 (.f64 a1 a1) (pow.f64 2 -1/2)))
(.f64 (pow.f64 2 -1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (.f64 a2 a2)))
(+.f64 (.f64 (.f64 a1 a1) (pow.f64 2 -1/2)) (.f64 (.f64 a2 a2) (pow.f64 2 -1/2)))
(.f64 (pow.f64 2 -1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (.f64 a2 a2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(*.f64 (hypot.f64 a2 a1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 4) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 4) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (hypot.f64 a2 a1))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (/.f64 (hypot.f64 a2 a1) 1))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) 1))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4)))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))) (/.f64 1 (cbrt.f64 2)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 2))) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (sqrt.f64 2)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (pow.f64 (hypot.f64 a2 a1) 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (+.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (+.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 a1 4) (+.f64 (pow.f64 (.f64 a1 a2) 2) (pow.f64 a2 4))) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (*.f64 (sqrt.f64 2) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))))
(.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)) (/.f64 (+.f64 (pow.f64 (.f64 a1 a2) 2) (+.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 2)) (-.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))) (+.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (.f64 a2 a1) 2)))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 2)) (-.f64 (pow.f64 a2 8) (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))))) (+.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)))
(.f64 1 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 2)) (+.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)) 3))) (-.f64 (+.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))) (.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (.f64 (+.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)) 3)) (sqrt.f64 2))) (+.f64 (pow.f64 a2 8) (-.f64 (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))))))
(.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)) 3)))) (+.f64 (pow.f64 a2 8) (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)) (-.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)) (pow.f64 a2 4)))))
(.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 (.f64 a2 a2) 6) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)) 3)))) (fma.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)) (-.f64 (pow.f64 a1 4) (+.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2))) (pow.f64 a2 8)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3) 1/3)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)) -1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2))
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 4) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 15 computations (46.4% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite109.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`associate-*r/`
1100×	`associate-/r*`
1014×	`*-commutative`
892×	`associate-/l*`
862×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	224	44
2	2848	44

Stop Event

1×	node limit

Counts

2 → 190

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 a1 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (/.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 a1 4) 2)) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a1 4)) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (pow.f64 a1 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (sqrt.f64 2)) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 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a1)) (/.f64 (pow.f64 2 1/4) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 th) (/.f64 1 (cbrt.f64 (pow.f64 a1 4)))) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 a1 4)))) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) a1)) (/.f64 (cbrt.f64 (sqrt.f64 2)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 a1 4)))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 (cbrt.f64 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) 1) (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 1 (sqrt.f64 a1))) (/.f64 (sqrt.f64 2) (sqrt.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 1 (pow.f64 (cbrt.f64 a1) 2))) (/.f64 (sqrt.f64 2) (cbrt.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) 1)) (/.f64 (pow.f64 2 1/4) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) (sqrt.f64 a1))) (/.f64 (pow.f64 2 1/4) (sqrt.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (cbrt.f64 2) 1)) (/.f64 (cbrt.f64 (sqrt.f64 2)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (cbrt.f64 2) (sqrt.f64 a1))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a1) 2))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a1) 2))) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) 1) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (pow.f64 2 1/4)) (neg.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (cbrt.f64 2)) (neg.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) -1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) 1) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (sqrt.f64 (pow.f64 2 1/4))) (sqrt.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (sqrt.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a1 a1))) 1) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a1 a1))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a1 a1))) (cbrt.f64 (pow.f64 2 1/4))) (cbrt.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a1 a1))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a1 a1))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 a1 (/.f64 (neg.f64 (sqrt.f64 2)) a1)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (neg.f64 (sqrt.f64 2)) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a1 (/.f64 (neg.f64 (sqrt.f64 2)) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (pow.f64 a1 4) 2) (pow.f64 (cos.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))

simplify120.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1496×	`associate-/l*`
904×	`associate-/l/`
620×	`times-frac`
582×	`distribute-rgt-in`
576×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	489	7722
1	1322	7494
2	6225	7494

Stop Event

1×	node limit

Counts

226 → 265

Calls

Call 1

Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 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 (exp.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (pow.f64 2 -1/2))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) 1)
(.f64 1 (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(.f64 (cbrt.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 a1 4) 2)))
(.f64 (cbrt.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (/.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 2)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 a1 4) 2)) (cbrt.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (pow.f64 a1 4)) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)))
(.f64 (pow.f64 2 -1/2) (.f64 a1 a1))
(.f64 (.f64 a1 (neg.f64 a1)) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (pow.f64 a1 4)) 1))
(.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (.f64 a1 a1) (pow.f64 2 1/4)))
(.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (.f64 a1 a1) (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 1))
(*.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (/.f64 a1 (cbrt.f64 2)))
(.f64 (/.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))) (/.f64 1 (cbrt.f64 2)))
(.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 a1 (neg.f64 a1)))
(*.f64 (/.f64 a1 1) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a1 4)) 1) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 2 1/4)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 a1) (/.f64 (sqrt.f64 2) a1)) (sqrt.f64 a1))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (sqrt.f64 a1))) (sqrt.f64 a1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a1 4)) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a1) 2))
(*.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))) (neg.f64 a1))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a1) 2))) (cbrt.f64 a1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 a1 4)))) (pow.f64 (cbrt.f64 a1) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (sqrt.f64 2) a1)) (cbrt.f64 a1))
(pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) -1)
(neg.f64 (/.f64 a1 (/.f64 (neg.f64 (sqrt.f64 2)) a1)))
(neg.f64 (*.f64 (/.f64 a1 (/.f64 (neg.f64 (sqrt.f64 2)) a1)) 1))
(neg.f64 (.f64 (.f64 a1 a1) (/.f64 -1 (sqrt.f64 2))))
(neg.f64 (*.f64 1 (/.f64 a1 (/.f64 (neg.f64 (sqrt.f64 2)) a1))))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 1)
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) a1) (cos.f64 th)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th)))))
(/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (sqrt.f64 (cos.f64 th))))
(/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (sqrt.f64 (cos.f64 th)))))
(/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (cbrt.f64 (cos.f64 th))))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cbrt.f64 (cos.f64 th)))))
(/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (/.f64 (sqrt.f64 2) 1))
(/.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 (.f64 a1 (.f64 a1 (cos.f64 th)))) (/.f64 (sqrt.f64 2) (sqrt.f64 (.f64 a1 (.f64 a1 (cos.f64 th))))))
(/.f64 (.f64 (cbrt.f64 (.f64 a1 (.f64 a1 (cos.f64 th)))) (cbrt.f64 (.f64 a1 (.f64 a1 (cos.f64 th))))) (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 a1 (*.f64 a1 (cos.f64 th))))))
(/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 (cos.f64 th) (cbrt.f64 (pow.f64 a1 4))) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a1) 2)))
(/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (pow.f64 2 1/4)) (sqrt.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1))))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (*.f64 a1 a1)))
(/.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a1 a1) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (pow.f64 2 1/4))
(/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a1 a1))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 a1 (sqrt.f64 (cos.f64 th))) (/.f64 (sqrt.f64 2) (.f64 a1 (sqrt.f64 (cos.f64 th)))))
(/.f64 (/.f64 (cos.f64 th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (pow.f64 2 1/4) (*.f64 a1 a1)))
(/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (sqrt.f64 a1)) (/.f64 (sqrt.f64 2) (.f64 a1 (sqrt.f64 a1))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (cbrt.f64 a1) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 a1 4))))
(/.f64 (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (cbrt.f64 2) a1))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) -1) (neg.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 a1)) (neg.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (.f64 1 (.f64 a1 (cos.f64 th))) (/.f64 (sqrt.f64 2) a1))
(/.f64 (.f64 1 (/.f64 (.f64 a1 a1) (/.f64 1 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 1 (/.f64 (.f64 a1 a1) (/.f64 (pow.f64 2 1/4) (cos.f64 th)))) (pow.f64 2 1/4))
(/.f64 (.f64 1 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (.f64 a1 a1)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (.f64 a1 (.f64 a1 (cos.f64 th))))) (pow.f64 2 1/4))
(/.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 a1 4) 2) (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (.f64 a1 (.f64 a1 (cos.f64 th))))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 (*.f64 a1 (cos.f64 th))) (/.f64 1 (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (.f64 (.f64 a1 (*.f64 a1 (cos.f64 th))) (/.f64 1 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 (*.f64 a1 (cos.f64 th))) -1) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (.f64 a1 (cos.f64 th)) (pow.f64 2 1/4)) a1) (pow.f64 2 1/4))
(/.f64 (.f64 (/.f64 (.f64 a1 (cos.f64 th)) (pow.f64 2 1/4)) 1) (sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 (/.f64 (.f64 a1 (cos.f64 th)) (pow.f64 2 1/4)) (sqrt.f64 a1)) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (.f64 (/.f64 (.f64 a1 (cos.f64 th)) (pow.f64 2 1/4)) (sqrt.f64 (*.f64 a1 (neg.f64 a1)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (/.f64 (pow.f64 a1 4) 2))) 1) (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (/.f64 (pow.f64 a1 4) 2))) (cbrt.f64 a1)) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (/.f64 (pow.f64 a1 4) 2))) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (cos.f64 th) (cbrt.f64 (/.f64 (pow.f64 a1 4) 2))) (cbrt.f64 (*.f64 a1 (neg.f64 a1)))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) 1) a1) (/.f64 (sqrt.f64 2) a1))
(/.f64 (.f64 (/.f64 (cos.f64 th) 1) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (.f64 (/.f64 (cos.f64 th) 1) 1) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))
(/.f64 (.f64 (/.f64 (cos.f64 th) 1) (sqrt.f64 a1)) (/.f64 (sqrt.f64 2) (.f64 a1 (sqrt.f64 a1))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) 1) (pow.f64 (cbrt.f64 a1) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 a1 4))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) 1) (cbrt.f64 (pow.f64 a1 4))) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a1) 2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) 1) (.f64 a1 (neg.f64 a1))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a1 (/.f64 1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (/.f64 (cos.f64 th) 1) (/.f64 (.f64 a1 a1) (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a1 (/.f64 (cbrt.f64 2) a1))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) 1) -1) (neg.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) 1) (neg.f64 a1)) (neg.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (.f64 a1 a1)) (pow.f64 2 1/4))
(/.f64 (.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 a1) 2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 a1 4))))
(/.f64 (.f64 (sqrt.f64 a1) (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 a1 (sqrt.f64 a1))))
(/.f64 (.f64 -1 (cos.f64 th)) (neg.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1))))
(/.f64 (*.f64 (/.f64 a1 (/.f64 1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (/.f64 (.f64 a1 a1) (pow.f64 2 1/4)) (cos.f64 th)) (pow.f64 2 1/4))
(/.f64 (*.f64 (/.f64 a1 (/.f64 (cbrt.f64 2) a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 a1) (cos.f64 th)) (neg.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (.f64 (.f64 a1 (cos.f64 th)) 1) (/.f64 (sqrt.f64 2) a1))
(/.f64 (.f64 (.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) 1) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (.f64 a1 a1) (/.f64 1 (cos.f64 th))) 1) (sqrt.f64 2))
(/.f64 (.f64 (/.f64 (.f64 a1 a1) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) 1) (pow.f64 2 1/4))
(/.f64 (.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (.f64 a1 a1))) 1) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (sqrt.f64 (.f64 a1 (.f64 a1 (cos.f64 th)))) (.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th)))) (pow.f64 2 1/4))
(/.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (.f64 1 (/.f64 (.f64 a1 (cos.f64 th)) (pow.f64 2 1/4))) (sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 (sqrt.f64 a1) (/.f64 (.f64 a1 (cos.f64 th)) (pow.f64 2 1/4))) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (.f64 (sqrt.f64 (.f64 a1 (neg.f64 a1))) (/.f64 (*.f64 a1 (cos.f64 th)) (pow.f64 2 1/4))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 a1 (.f64 a1 (cos.f64 th)))) (cbrt.f64 (.f64 (/.f64 (pow.f64 a1 4) 2) (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 2))
(/.f64 (/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (/.f64 (cos.f64 th) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1))))) (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1))))
(/.f64 (/.f64 (cos.f64 th) (/.f64 1 a1)) (/.f64 (sqrt.f64 2) a1))
(/.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a1)) (/.f64 (pow.f64 2 1/4) a1))
(/.f64 (/.f64 (cos.f64 th) (/.f64 1 (cbrt.f64 (pow.f64 a1 4)))) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a1) 2)))
(/.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 a1 4)))) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a1) 2)))
(/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) a1)) (/.f64 (cbrt.f64 (sqrt.f64 2)) a1))
(/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 a1 4)))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 (cbrt.f64 a1) 2)))
(/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 a1))
(/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) 1) (/.f64 (sqrt.f64 2) a1))
(/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 1 (sqrt.f64 a1))) (/.f64 (sqrt.f64 2) (sqrt.f64 a1)))
(/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 1 (pow.f64 (cbrt.f64 a1) 2))) (/.f64 (sqrt.f64 2) (cbrt.f64 a1)))
(/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) 1)) (/.f64 (pow.f64 2 1/4) a1))
(/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) (sqrt.f64 a1))) (/.f64 (pow.f64 2 1/4) (sqrt.f64 a1)))
(/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (cbrt.f64 2) 1)) (/.f64 (cbrt.f64 (sqrt.f64 2)) a1))
(/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (cbrt.f64 2) (sqrt.f64 a1))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 a1)))
(/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a1) 2))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 a1)))
(/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a1) 2))) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a1)))
(/.f64 (/.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th))) 1) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th))) (pow.f64 2 1/4)) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th))) (cbrt.f64 2)) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th))) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th))) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th))) -1) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (/.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))) 1) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) 1) (pow.f64 2 1/4))
(/.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (sqrt.f64 (pow.f64 2 1/4))) (sqrt.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (sqrt.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a1 a1))) 1) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a1 a1))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a1 a1))) (cbrt.f64 (pow.f64 2 1/4))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (.f64 a1 a1))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a1 a1))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(pow.f64 (*.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)
(neg.f64 (*.f64 (/.f64 a1 (/.f64 (neg.f64 (sqrt.f64 2)) a1)) (cos.f64 th)))
(neg.f64 (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (neg.f64 (sqrt.f64 2)) a1))))
(neg.f64 (*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a1 (/.f64 (neg.f64 (sqrt.f64 2)) a1))))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 a1 4) 2) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (log.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))

Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
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(/.f64 (/.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))
(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (.f64 a1 a1))
(*.f64 (pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2) (cos.f64 th))
(/.f64 (/.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 a1 a1))
(/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 (/.f64 (cos.f64 th) (cbrt.f64 2)))))
(/.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))) 1) (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 (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 a1 a1))
(/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 (/.f64 (cos.f64 th) (cbrt.f64 2)))))
(/.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) 1) (pow.f64 2 1/4))
(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (.f64 a1 a1))
(*.f64 (pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2) (cos.f64 th))
(/.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (.f64 (cos.f64 th) (/.f64 a1 (/.f64 (pow.f64 2 1/4) a1))) (.f64 (cbrt.f64 (pow.f64 2 1/4)) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 2 1/4))) (/.f64 (.f64 a1 (/.f64 a1 (pow.f64 2 1/4))) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (sqrt.f64 (pow.f64 2 1/4))) (sqrt.f64 (pow.f64 2 1/4)))
(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (.f64 a1 a1))
(*.f64 (pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2) (cos.f64 th))
(/.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (sqrt.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (cos.f64 th) (/.f64 a1 (/.f64 (pow.f64 2 1/4) a1))) (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 2))) (sqrt.f64 (cbrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 (cbrt.f64 (sqrt.f64 2)))) (/.f64 (.f64 a1 (/.f64 a1 (pow.f64 2 1/4))) (sqrt.f64 (cbrt.f64 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a1 a1))) 1) (cbrt.f64 (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 a1 a1))
(/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 (/.f64 (cos.f64 th) (cbrt.f64 2)))))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a1 a1))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 a1 a1))
(/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 (/.f64 (cos.f64 th) (cbrt.f64 2)))))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a1 a1))) (cbrt.f64 (pow.f64 2 1/4))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (cbrt.f64 2))) (*.f64 (cbrt.f64 (pow.f64 2 1/4)) (cbrt.f64 (pow.f64 2 1/4))))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (cbrt.f64 2)))) (*.f64 (cbrt.f64 (pow.f64 2 1/4)) (cbrt.f64 (pow.f64 2 1/4))))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (.f64 a1 a1))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 a1 a1))
(/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 (/.f64 (cos.f64 th) (cbrt.f64 2)))))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a1 a1))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (cbrt.f64 2))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 2))))
(.f64 (/.f64 (.f64 a1 a1) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 2))))
(pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(pow.f64 (*.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(pow.f64 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(neg.f64 (*.f64 (/.f64 a1 (/.f64 (neg.f64 (sqrt.f64 2)) a1)) (cos.f64 th)))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(neg.f64 (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (neg.f64 (sqrt.f64 2)) a1))))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(neg.f64 (*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a1 (/.f64 (neg.f64 (sqrt.f64 2)) a1))))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 a1 4) 2) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.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)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (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)))
(cbrt.f64 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (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)))
(exp.f64 (log.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (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)))
(log1p.f64 (expm1.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (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)))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 29 to 12 computations (58.6% saved)

series8.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

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

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`associate-/r*`
1510×	`associate-/l*`
1102×	`*-commutative`
932×	`associate-*r/`
640×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	224	55
2	2866	55

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (pow.f64 2 1/4) (sqrt.f64 (cos.f64 th)))) (/.f64 a2 (/.f64 (pow.f64 2 1/4) (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (/.f64 a2 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 2) 2)) (cbrt.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (neg.f64 (*.f64 a2 a2))) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (*.f64 a2 (sqrt.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (/.f64 a2 (/.f64 1 (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (sqrt.f64 2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (*.f64 a2 a2))) (/.f64 1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2))) (/.f64 1 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) a2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) (/.f64 a2 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (/.f64 a2 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th))) (/.f64 a2 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 2)) (*.f64 (cos.f64 th) (neg.f64 (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 1) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 a2 (/.f64 (pow.f64 2 1/4) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (cbrt.f64 2)) (/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 1 a2)) (/.f64 a2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (cbrt.f64 (sqrt.f64 2))) (/.f64 (*.f64 a2 (cos.f64 th)) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 1 (sqrt.f64 (cos.f64 th)))) (/.f64 a2 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th)))) (/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th)))) (/.f64 a2 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2) (cbrt.f64 2)) (cbrt.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2) (sqrt.f64 2)) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a2) (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th)))) (sqrt.f64 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 a2 (cos.f64 th))))) (sqrt.f64 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))) (neg.f64 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2)))) (cbrt.f64 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2))) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th)))) (cbrt.f64 a2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (/.f64 (pow.f64 2 1/4) (sqrt.f64 (cos.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) a2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 a2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a2) (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (*.f64 a2 (cos.f64 th)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))))))))

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1328×	`associate-/r*`
1188×	`associate-/l/`
1038×	`distribute-rgt-in`
1034×	`distribute-lft-in`
926×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	275	4707
1	738	4553
2	3208	4553

Stop Event

1×	node limit

Counts

163 → 171

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
a2
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) a2)) a2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) a2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) a2)) a2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) a2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) a2)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 th 6) a2)) a2)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))) (.f64 1/24 (.f64 (pow.f64 th 4) (pow.f64 a2 2)))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (pow.f64 a2 2))) (.f64 -1/720 (.f64 (pow.f64 th 6) (pow.f64 a2 2))))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(-.f64 (exp.f64 (log1p.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2))))) 1)
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 2 -1/2))
(.f64 (.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 1)
(.f64 1 (.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))
(*.f64 (/.f64 a2 (/.f64 (pow.f64 2 1/4) (sqrt.f64 (cos.f64 th)))) (/.f64 a2 (/.f64 (pow.f64 2 1/4) (sqrt.f64 (cos.f64 th)))))
(.f64 (.f64 a2 (sqrt.f64 (cos.f64 th))) (/.f64 a2 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))))
(.f64 (cbrt.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (pow.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) 2) 2)))
(.f64 (cbrt.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (*.f64 a2 a2))) 2) (cbrt.f64 2)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 2) 2)) (cbrt.f64 (.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) 2) (/.f64 (cbrt.f64 (.f64 (cos.f64 th) (*.f64 a2 a2))) (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (.f64 (cos.f64 th) (neg.f64 (*.f64 a2 a2))) (/.f64 -1 (sqrt.f64 2)))
(.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (.f64 a2 (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (/.f64 a2 (/.f64 1 (sqrt.f64 (cos.f64 th)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (*.f64 a2 a2))) 2))
(.f64 (/.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) (sqrt.f64 2)) (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (*.f64 a2 a2))) 2) 1))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) 1))
(.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (.f64 a2 a2))))
(.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (.f64 a2 a2))) (/.f64 1 (pow.f64 2 1/4)))
(.f64 (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2))) (/.f64 1 (cbrt.f64 2)))
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)) a2)
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)) (/.f64 a2 1))
(*.f64 (/.f64 a2 (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (/.f64 a2 (pow.f64 2 1/4)))
(*.f64 (/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th))) (/.f64 a2 (cbrt.f64 2)))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 1 a2)))
(.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 (cos.f64 th) (neg.f64 (*.f64 a2 a2))))
(.f64 (/.f64 a2 1) (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 a2 (/.f64 (pow.f64 2 1/4) (cos.f64 th))))
(*.f64 (/.f64 a2 (cbrt.f64 2)) (/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (/.f64 (cos.f64 th) (/.f64 1 a2)) (/.f64 a2 (sqrt.f64 2)))
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 a2 (cbrt.f64 (sqrt.f64 2))) (/.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 2)))
(*.f64 (/.f64 a2 (/.f64 1 (sqrt.f64 (cos.f64 th)))) (/.f64 a2 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))))
(*.f64 (/.f64 a2 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th)))) (/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th)))))
(*.f64 (/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th)))) (/.f64 a2 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) 2) 1) (/.f64 (cbrt.f64 (.f64 (cos.f64 th) (*.f64 a2 a2))) (sqrt.f64 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (.f64 (cos.f64 th) (*.f64 a2 a2))) (pow.f64 2 1/4)))
(.f64 (/.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (*.f64 a2 a2))) 2) (pow.f64 2 1/4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) 2) (cbrt.f64 2)) (cbrt.f64 (.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(.f64 (/.f64 (.f64 a2 a2) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (.f64 a2 a2) (pow.f64 2 1/4)))
(.f64 (/.f64 (.f64 a2 a2) (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (cbrt.f64 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) 2) (sqrt.f64 2)) (cbrt.f64 (.f64 (cos.f64 th) (*.f64 a2 a2))))
(.f64 (/.f64 (sqrt.f64 a2) (/.f64 (sqrt.f64 2) (.f64 a2 (cos.f64 th)))) (sqrt.f64 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (sqrt.f64 (.f64 a2 (cos.f64 th))))) (sqrt.f64 (*.f64 a2 (cos.f64 th))))
(.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))) (neg.f64 (.f64 a2 (cos.f64 th))))
(.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)))) (cbrt.f64 (*.f64 a2 (cos.f64 th))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) 2))) (cbrt.f64 (.f64 (cos.f64 th) (*.f64 a2 a2))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (cos.f64 th))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (sqrt.f64 2) (.f64 a2 (cos.f64 th)))) (cbrt.f64 a2))
(pow.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 1)
(pow.f64 (/.f64 a2 (/.f64 (pow.f64 2 1/4) (sqrt.f64 (cos.f64 th)))) 2)
(pow.f64 (cbrt.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))) -1)
(neg.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 2) 2))
(log.f64 (exp.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 3))
(expm1.f64 (log1p.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(exp.f64 (log.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) 1)
(pow.f64 (*.f64 a2 (cos.f64 th)) 1)
(pow.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) a2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a2 a2)))) 1)
(pow.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 1)
(pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 2))
(log.f64 (pow.f64 (exp.f64 a2) (*.f64 a2 (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 th) (.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 3))
(cbrt.f64 (.f64 (pow.f64 a2 3) (pow.f64 (.f64 a2 (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a2 a2))))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 a2 a2))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 a2 a2))))

Outputs
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (.f64 -1/2 (.f64 th th)) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 -1/2 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 th th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 -1/2 (.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (.f64 th th)) (.f64 a2 (/.f64 a2 (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)))))
(fma.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (.f64 a2 a2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (.f64 -1/2 (.f64 th th)) (.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(fma.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (.f64 a2 a2)) (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 th th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(fma.f64 1/24 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (pow.f64 th 4))) a2) (fma.f64 -1/2 (.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (.f64 th th)) (*.f64 a2 (/.f64 a2 (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))))))
(fma.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (.f64 a2 a2)) (sqrt.f64 2)) (+.f64 (fma.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (.f64 a2 a2)) (sqrt.f64 2)))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(fma.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (.f64 a2 a2)) (sqrt.f64 2)) (fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (fma.f64 -1/2 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 th th)) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (*.f64 a2 a2)) (sqrt.f64 2))))))
(fma.f64 1/24 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (pow.f64 th 4))) a2) (fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (fma.f64 -1/2 (.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (.f64 th th)) (.f64 (/.f64 (.f64 -1/720 (pow.f64 th 6)) (/.f64 (sqrt.f64 2) a2)) a2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
a2
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) a2)) a2)
(fma.f64 -1/2 (.f64 a2 (.f64 th th)) a2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) a2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) a2)) a2))
(fma.f64 -1/2 (.f64 a2 (.f64 th th)) (fma.f64 1/24 (*.f64 a2 (pow.f64 th 4)) a2))
(fma.f64 -1/2 (.f64 a2 (.f64 th th)) (fma.f64 (*.f64 1/24 (pow.f64 th 4)) a2 a2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) a2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) a2)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 th 6) a2)) a2)))
(fma.f64 -1/2 (.f64 a2 (.f64 th th)) (fma.f64 1/24 (.f64 a2 (pow.f64 th 4)) (fma.f64 -1/720 (.f64 a2 (pow.f64 th 6)) a2)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(+.f64 (.f64 (.f64 -1/2 (.f64 th th)) (.f64 a2 a2)) (*.f64 a2 a2))
(.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a2 a2))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))) (.f64 1/24 (.f64 (pow.f64 th 4) (pow.f64 a2 2)))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2)) (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a2 a2)))) (*.f64 a2 a2))
(fma.f64 a2 a2 (.f64 (.f64 a2 a2) (+.f64 (.f64 -1/2 (.f64 th th)) (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (pow.f64 a2 2))) (.f64 -1/720 (.f64 (pow.f64 th 6) (pow.f64 a2 2))))))
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(/.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (cos.f64 th)) (/.f64 (pow.f64 2 1/4) (.f64 a2 a2)))
(*.f64 (/.f64 a2 (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (/.f64 a2 (pow.f64 2 1/4)))
(.f64 (.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4))) (cos.f64 th))
(.f64 (/.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (*.f64 a2 a2))) 2) (pow.f64 2 1/4)))
(/.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (cos.f64 th)) (/.f64 (pow.f64 2 1/4) (.f64 a2 a2)))
(*.f64 (/.f64 a2 (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (/.f64 a2 (pow.f64 2 1/4)))
(.f64 (.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4))) (cos.f64 th))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) 2) (cbrt.f64 2)) (cbrt.f64 (.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(.f64 (cbrt.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (*.f64 a2 a2))) 2) (cbrt.f64 2)))
(.f64 (cbrt.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 (.f64 a2 (*.f64 a2 (cos.f64 th)))) 2) (cbrt.f64 2)))
(.f64 (cbrt.f64 (.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))) (/.f64 (pow.f64 (cbrt.f64 (.f64 a2 (*.f64 a2 (cos.f64 th)))) 2) (cbrt.f64 2)))
(.f64 (/.f64 (.f64 a2 a2) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 (.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(/.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (cos.f64 th)) (/.f64 (pow.f64 2 1/4) (.f64 a2 a2)))
(*.f64 (/.f64 a2 (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (/.f64 a2 (pow.f64 2 1/4)))
(.f64 (.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4))) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (.f64 a2 a2) (pow.f64 2 1/4)))
(/.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (cos.f64 th)) (/.f64 (pow.f64 2 1/4) (.f64 a2 a2)))
(*.f64 (/.f64 a2 (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (/.f64 a2 (pow.f64 2 1/4)))
(.f64 (.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4))) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 a2) (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))) (/.f64 a2 (cbrt.f64 2)))
(.f64 (.f64 (cos.f64 th) (/.f64 a2 (cbrt.f64 (sqrt.f64 2)))) (/.f64 a2 (cbrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (cbrt.f64 2)))
(.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))) (/.f64 a2 (cbrt.f64 2)))
(.f64 (.f64 (cos.f64 th) (/.f64 a2 (cbrt.f64 (sqrt.f64 2)))) (/.f64 a2 (cbrt.f64 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) 2) (sqrt.f64 2)) (cbrt.f64 (.f64 (cos.f64 th) (*.f64 a2 a2))))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 (sqrt.f64 a2) (/.f64 (sqrt.f64 2) (.f64 a2 (cos.f64 th)))) (sqrt.f64 a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (sqrt.f64 (.f64 a2 (cos.f64 th))))) (sqrt.f64 (*.f64 a2 (cos.f64 th))))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))) (neg.f64 (.f64 a2 (cos.f64 th))))
(.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))) (.f64 (neg.f64 a2) (cos.f64 th)))
(.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))) (.f64 (cos.f64 th) (neg.f64 a2)))
(.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)))) (cbrt.f64 (*.f64 a2 (cos.f64 th))))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) (cbrt.f64 (.f64 a2 (cos.f64 th)))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) 2))) (cbrt.f64 (.f64 (cos.f64 th) (*.f64 a2 a2))))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (cos.f64 th))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (sqrt.f64 2) (.f64 a2 (cos.f64 th)))) (cbrt.f64 a2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(pow.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 1)
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(pow.f64 (/.f64 a2 (/.f64 (pow.f64 2 1/4) (sqrt.f64 (cos.f64 th)))) 2)
(pow.f64 (*.f64 (/.f64 a2 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 a2 (pow.f64 2 1/4))) 2)
(pow.f64 (cbrt.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) 3)
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(pow.f64 (pow.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 3) 1/3)
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(pow.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))) -1)
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(neg.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))
(.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))) (.f64 (neg.f64 a2) (cos.f64 th)))
(.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))) (.f64 (cos.f64 th) (neg.f64 a2)))
(sqrt.f64 (/.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 2) 2))
(sqrt.f64 (/.f64 (pow.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) 2) 2))
(log.f64 (exp.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2))))))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 3))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(exp.f64 (log.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) 1)
(*.f64 a2 (cos.f64 th))
(pow.f64 (*.f64 a2 (cos.f64 th)) 1)
(*.f64 a2 (cos.f64 th))
(pow.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) 2)
(*.f64 a2 (cos.f64 th))
(pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 3)
(*.f64 a2 (cos.f64 th))
(pow.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3) 1/3)
(*.f64 a2 (cos.f64 th))
(sqrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2))
(fabs.f64 (*.f64 a2 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) a2))
(*.f64 a2 (cos.f64 th))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(*.f64 a2 (cos.f64 th))
(cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3))
(*.f64 a2 (cos.f64 th))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 a2 3)))
(*.f64 a2 (cos.f64 th))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 a2 (cos.f64 th))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 a2 (cos.f64 th))
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 a2 (cos.f64 th))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a2 a2)))) 1)
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(pow.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 1)
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) 3)
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 3) 1/3)
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 2))
(fabs.f64 (.f64 a2 (.f64 a2 (cos.f64 th))))
(log.f64 (pow.f64 (exp.f64 a2) (*.f64 a2 (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 th) (.f64 a2 a2)))))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 3))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(cbrt.f64 (.f64 (pow.f64 a2 3) (pow.f64 (.f64 a2 (cos.f64 th)) 3)))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))

localize27.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 66 to 38 computations (42.4% saved)

series5.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite133.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`distribute-rgt-in`
748×	`distribute-lft-in`
726×	`associate-*r/`
592×	`associate-*l/`
366×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	344	69
2	4521	69

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (pow.f64 2 -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2 (pow.f64 a2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2)) 1) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (cos.f64 th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (cos.f64 th))) 1) (*.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2)) 1)) (*.f64 1 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (cos.f64 th))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) 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1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (cos.f64 th))))))))

simplify170.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1704×	`associate-/r*`
838×	`associate-*r/`
802×	`associate-r`
704×	`associate-l`
548×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	309	8978
1	947	8336
2	4887	8336

Stop Event

1×	node limit

Counts

162 → 159

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 4))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))))
(+.f64 (.f64 -1/720 (.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 6))) (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 4))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
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(/.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 1/2 (pow.f64 a2 4)) (.f64 1/2 (pow.f64 a1 4)))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 1/2 (pow.f64 a2 4)) (.f64 1/2 (pow.f64 a1 4)))) (+.f64 (.f64 a2 (pow.f64 2 -1/4)) (.f64 a1 (pow.f64 2 -1/4)))) (-.f64 (.f64 a2 (pow.f64 2 -1/4)) (*.f64 a1 (pow.f64 2 -1/4))))
(/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 3))) 1) (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))))))
(/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 3))) (sqrt.f64 (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))))))) (sqrt.f64 (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))))
(/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 3))) (.f64 (cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))))))) (cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))))))))) (cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 a2 4)) (.f64 1/2 (pow.f64 a1 4))) (cos.f64 th)) (sqrt.f64 1/2)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 a2 4)) (.f64 1/2 (pow.f64 a1 4))) (cos.f64 th)) 1) (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 a2 4)) (.f64 1/2 (pow.f64 a1 4))) (cos.f64 th)) (sqrt.f64 (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (sqrt.f64 (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 a2 4)) (.f64 1/2 (pow.f64 a1 4))) (cos.f64 th)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 a2 4)) (.f64 1/2 (pow.f64 a1 4))) (cos.f64 th)) (+.f64 (.f64 a2 (pow.f64 2 -1/4)) (.f64 a1 (pow.f64 2 -1/4)))) (-.f64 (.f64 a2 (pow.f64 2 -1/4)) (*.f64 a1 (pow.f64 2 -1/4))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 3)) (cos.f64 th)) 1) (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 3)) (cos.f64 th)) (sqrt.f64 (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))))))) (sqrt.f64 (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 3)) (cos.f64 th)) (.f64 (cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))))))) (cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))))))))) (cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))))
(pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))) 2))
(log.f64 (exp.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))) 3))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(exp.f64 (log.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1)))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(fma.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(fma.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th))))

Outputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2)))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(fma.f64 (sqrt.f64 1/2) (.f64 a2 a2) (fma.f64 -1/2 (.f64 (.f64 th th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 (.f64 th th) -1/2)) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 4))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))))
(fma.f64 (sqrt.f64 1/2) (.f64 a2 a2) (fma.f64 -1/2 (.f64 (.f64 th th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 1/24 (.f64 (pow.f64 th 4) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))))
(+.f64 (fma.f64 -1/2 (.f64 th (.f64 th (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (pow.f64 th 4))))) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))))
(+.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 -1/2 (.f64 th (.f64 th (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (pow.f64 th 4))))))
(+.f64 (.f64 -1/720 (.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 6))) (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 4))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))))
(fma.f64 -1/720 (.f64 (pow.f64 th 6) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 (sqrt.f64 1/2) (.f64 a2 a2) (fma.f64 -1/2 (.f64 (.f64 th th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 1/24 (.f64 (pow.f64 th 4) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))
(fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (pow.f64 th 6))) (+.f64 (fma.f64 -1/2 (.f64 th (.f64 th (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (pow.f64 th 4))))) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (pow.f64 th 6))) (+.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 -1/2 (.f64 th (.f64 th (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 th 4)))))))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
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(/.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 a2 4)) (.f64 1/2 (pow.f64 a1 4))) (cos.f64 th)) 1) (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (/.f64 (.f64 1/2 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 1/2 (sqrt.f64 1/2)) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 a2 4)) (.f64 1/2 (pow.f64 a1 4))) (cos.f64 th)) (sqrt.f64 (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (sqrt.f64 (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (/.f64 (.f64 1/2 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 1/2 (sqrt.f64 1/2)) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 a2 4)) (.f64 1/2 (pow.f64 a1 4))) (cos.f64 th)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (/.f64 (.f64 1/2 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 (sqrt.f64 1/2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 1/2 (sqrt.f64 1/2)) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 a2 4)) (.f64 1/2 (pow.f64 a1 4))) (cos.f64 th)) (+.f64 (.f64 a2 (pow.f64 2 -1/4)) (.f64 a1 (pow.f64 2 -1/4)))) (-.f64 (.f64 a2 (pow.f64 2 -1/4)) (*.f64 a1 (pow.f64 2 -1/4))))
(/.f64 (.f64 (cos.f64 th) (.f64 1/2 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)))) (.f64 (.f64 (pow.f64 2 -1/4) (-.f64 a2 a1)) (*.f64 (pow.f64 2 -1/4) (+.f64 a2 a1))))
(.f64 (/.f64 (cos.f64 th) (.f64 (pow.f64 2 -1/4) (-.f64 a2 a1))) (/.f64 (.f64 1/2 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 (pow.f64 2 -1/4) (+.f64 a1 a2))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 3)) (cos.f64 th)) 1) (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3)) (fma.f64 1/2 (pow.f64 a2 4) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (.f64 (.f64 1/2 (sqrt.f64 1/2)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (-.f64 (.f64 1/2 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (*.f64 a1 a1))))))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 3)) (cos.f64 th)) (sqrt.f64 (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))))))) (sqrt.f64 (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3)) (fma.f64 1/2 (pow.f64 a2 4) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (.f64 (.f64 1/2 (sqrt.f64 1/2)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (-.f64 (.f64 1/2 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (*.f64 a1 a1))))))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 3)) (cos.f64 th)) (.f64 (cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))))))) (cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))))))))) (cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3)) (fma.f64 1/2 (pow.f64 a2 4) (-.f64 (.f64 1/2 (pow.f64 a1 4)) (.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (.f64 (.f64 1/2 (sqrt.f64 1/2)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (-.f64 (.f64 1/2 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (*.f64 a1 a1))))))))
(pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))) 1)
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(pow.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))) 2)
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))) 3)
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))) 3) 1/3)
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(sqrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))) 2))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))) 2))
(fabs.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(log.f64 (exp.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))) 3))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))) 3)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))) 3) (pow.f64 (cos.f64 th) 3)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(exp.f64 (log.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (.f64 a1 a1)))) 1))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))

eval582.0ms (4.2%)

Compiler: Compiled 21647 to 13011 computations (39.9% saved)

prune273.0ms (2%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1024	16	1040
Fresh	9	3	12
Picked	1	0	1
Done	0	4	4
Total	1034	23	1057

Error

Counts

1057 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓	25.8b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
▶	45.6b	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
✓	29.9b	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	41.6b	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	25.6b	(/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 2))
▶	39.2b	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	41.6b	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	25.6b	(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) a1) (cos.f64 th)))
	39.2b	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	25.8b	(+.f64 (.f64 (pow.f64 2 -1/2) (.f64 a2 a2)) (.f64 (pow.f64 2 -1/2) (.f64 a1 a1)))
	25.8b	(.f64 (pow.f64 2 -1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	25.6b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
▶	29.9b	(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
	41.7b	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
▶	39.2b	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	30.2b	(.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (cos.f64 th))
	25.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	0.5b	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	29.9b	(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
	25.6b	(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
✓	25.6b	(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
	25.6b	(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))

Compiler

Compiled 519 to 390 computations (24.9% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	0.3b	(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
✓	0.4b	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

Compiler

Compiled 46 to 21 computations (54.3% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`associate-*r/`
774×	`distribute-rgt-in`
728×	`distribute-lft-in`
630×	`associate-*l/`
328×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	320	48
2	4124	48

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs

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(cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (hypot.f64 a1 a2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a1 a1) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (*.f64 (sqrt.f64 1/2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))))

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

846×	`associate-r`
844×	`associate-/l*`
778×	`distribute-lft-neg-in`
778×	`distribute-rgt-neg-in`
768×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	7601
1	861	7031
2	5047	6673

Stop Event

1×	node limit

Counts

141 → 152

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(sqrt.f64 1/2)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (sqrt.f64 1/2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (+.f64 (sqrt.f64 1/2) (.f64 -1/720 (.f64 (sqrt.f64 1/2) (pow.f64 th 6))))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(+.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 1) (.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) 1))
(+.f64 (.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) 1) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 1))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th))))
(+.f64 (.f64 1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 1)) (.f64 1 (.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) 1)))
(+.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 1/2)) (.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 1/2)))
(+.f64 (.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 1/2)) (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 1/2)))
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 1) 1) (.f64 (.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))) 1)
(/.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (cos.f64 th))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2)) (.f64 (sqrt.f64 1/2) (cos.f64 th))))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (fma.f64 a1 a1 (neg.f64 (*.f64 a2 a2))))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (fma.f64 a1 a1 (neg.f64 (*.f64 a2 a2))))
(/.f64 (.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))) (-.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 3) (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (-.f64 (.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))))
(/.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (fma.f64 a1 a1 (neg.f64 (*.f64 a2 a2))))
(/.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (neg.f64 (fma.f64 a1 a1 (neg.f64 (*.f64 a2 a2)))))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (neg.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (.f64 1 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2))))
(/.f64 (.f64 1 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2)))
(/.f64 (.f64 1 (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2))))
(/.f64 (.f64 1 (.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2)))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))))) (-.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 3) (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) 3))) (+.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (-.f64 (.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))))))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (hypot.f64 a1 a2)) (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2))))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (hypot.f64 a1 a2)) (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (sqrt.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2)))))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2)) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2))))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2)) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (cbrt.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2)))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (neg.f64 (fma.f64 a1 a1 (neg.f64 (*.f64 a2 a2)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (neg.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) 1) (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2))))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) 1) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2)))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) 1) (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2))))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) 1) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))) 1) (-.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 3) (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) 3)) 1) (+.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (-.f64 (.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (.f64 (hypot.f64 a1 a2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (.f64 (hypot.f64 a1 a2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2)))))
(/.f64 (.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (sqrt.f64 1/2)) (fma.f64 a1 a1 (neg.f64 (*.f64 a2 a2))))
(/.f64 (.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (sqrt.f64 1/2)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) 1) (fma.f64 a1 a1 (neg.f64 (*.f64 a2 a2))))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (sqrt.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2))))) (sqrt.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2)))))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (.f64 (cbrt.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2)))) (cbrt.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2)))))) (cbrt.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2)))))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (+.f64 a1 a2)) (-.f64 a1 a2))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) 1) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2))))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (.f64 (cbrt.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2))))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) 1) (fma.f64 a1 a1 (neg.f64 (*.f64 a2 a2))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (sqrt.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2))))) (sqrt.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2)))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (cbrt.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2)))) (cbrt.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2)))))) (cbrt.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2)))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (+.f64 a1 a2)) (-.f64 a1 a2))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) 1) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (cbrt.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2))))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2))))
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (hypot.f64 a1 a2)) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(fma.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 a1 a1) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(fma.f64 (.f64 a1 a1) (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 3) (.f64 (sqrt.f64 1/2) 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))

Outputs
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 th th))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (.f64 (sqrt.f64 1/2) -1/2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 (.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2)))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (pow.f64 th 4))) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 th th))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 1/24 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (*.f64 (sqrt.f64 1/2) -1/2))))
(+.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 (.f64 th th) -1/2) (.f64 (pow.f64 th 4) 1/24)))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (pow.f64 th 4))) (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (pow.f64 th 6))) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 th th))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(fma.f64 1/24 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 6))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (.f64 (sqrt.f64 1/2) -1/2)))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1))) (+.f64 (.f64 (.f64 th th) -1/2) (.f64 (pow.f64 th 6) -1/720))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
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(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
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(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 1))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(fma.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 a1 a1) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (.f64 a1 a1) (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))
(sqrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (cos.f64 th) 3)))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 3) (.f64 (sqrt.f64 1/2) 1/2)))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`add-sqr-sqrt`
1584×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1458×	`add-cbrt-cube`
158×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	164	28
2	2009	28

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) (sqrt.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) a1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 a1 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 a1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))))))

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1190×	`associate-*r/`
900×	`unswap-sqr`
880×	`associate-/l*`
712×	`associate-+r-`
670×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	128	1080
1	296	1068
2	1246	1068
3	7098	1068

Stop Event

1×	node limit

Counts

66 → 69

Calls

Call 1

Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2)))) 1)
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 a1 (sqrt.f64 2)))
(.f64 (sqrt.f64 a1) (.f64 (sqrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) (sqrt.f64 (/.f64 a1 (sqrt.f64 2))))
(.f64 (pow.f64 (cbrt.f64 a1) 2) (.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (.f64 a1 a1) 2)))
(.f64 (cbrt.f64 (/.f64 (.f64 a1 a1) 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) a1)
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
(neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (*.f64 a1 a1) 2))
(log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a1 (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))) 1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(exp.f64 (.f64 (log.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))

Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2)))) 1)
(/.f64 a1 (sqrt.f64 2))
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(/.f64 a1 (sqrt.f64 2))
(*.f64 1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (sqrt.f64 2))
(.f64 (sqrt.f64 a1) (.f64 (sqrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) (sqrt.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (pow.f64 (cbrt.f64 a1) 2) (.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 a1 (pow.f64 2 -1/2))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (.f64 a1 a1) 2)))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 a1 (/.f64 2 a1))))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (.f64 a1 (/.f64 a1 2))))
(.f64 (cbrt.f64 (/.f64 (.f64 a1 a1) 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 a1 (/.f64 2 a1))))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (.f64 a1 (/.f64 a1 2))))
(*.f64 (pow.f64 2 -1/2) a1)
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 2)) a1) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 a1 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 a1 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 2)) a1) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 a1 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 a1 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (/.f64 a1 (sqrt.f64 2)))) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 2)))
(pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
(/.f64 a1 (sqrt.f64 2))
(neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(sqrt.f64 (/.f64 (*.f64 a1 a1) 2))
(sqrt.f64 (/.f64 a1 (/.f64 2 a1)))
(sqrt.f64 (*.f64 a1 (/.f64 a1 2)))
(log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a1 (sqrt.f64 2)))))
(/.f64 a1 (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))
(/.f64 a1 (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))) 1))
(/.f64 a1 (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))) 1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 a1 (/.f64 (cbrt.f64 2) a1)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (/.f64 a1 (cbrt.f64 2)))
(/.f64 (*.f64 a1 (/.f64 a1 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/2 (.f64 th th)) 1)
✓	0.0b	(.f64 -1/2 (.f64 th th))
✓	0.3b	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
✓	11.1b	(.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2))

Compiler

Compiled 53 to 29 computations (45.3% saved)

series4.0ms (0%)

Counts

4 → 72

Calls

18 calls:

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

rewrite96.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`associate-*r/`
1696×	`associate-/r*`
1552×	`associate-*l/`
310×	`add-sqr-sqrt`
296×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	92
1	313	92
2	3975	92

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 -1/2 (.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a2 a2) (.f64 (.f64 -1/2 (.f64 th th)) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a2 a2) (.f64 -1/2 (.f64 th th))) (.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 -1/2 (.f64 th th)) (.f64 a2 a2)) (.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a2 a2))) (-.f64 1 (.f64 (.f64 a2 a2) (.f64 -1/2 (.f64 th th)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a2 a2))) (-.f64 1 (.f64 (.f64 -1/2 (.f64 th th)) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (.f64 a2 a2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 a2 a2) (.f64 -1/2 (.f64 th th))) (exp.f64 (log1p.f64 (.f64 a2 a2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 -1/2 (.f64 th th)) (.f64 a2 a2)) (exp.f64 (log1p.f64 (.f64 a2 a2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a2 a2) (/.f64 (fma.f64 -1/2 (.f64 th th) -1) (+.f64 (.f64 1/4 (pow.f64 th 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a2 a2) (/.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a2 a2) (+.f64 (.f64 1/4 (pow.f64 th 4)) -1)) (fma.f64 -1/2 (.f64 th th) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a2 a2) (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3)))) (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1) (.f64 a2 a2)) (fma.f64 -1/2 (.f64 th th) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))) (.f64 a2 a2)) (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (.f64 (.f64 a2 a2) (+.f64 (.f64 1/4 (pow.f64 th 4)) -1))) (fma.f64 -1/2 (.f64 th th) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (.f64 (.f64 a2 a2) (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))))) (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1) (.f64 a2 a2))) (fma.f64 -1/2 (.f64 th th) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))) (.f64 a2 a2))) (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a2 (.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1) a2)) (fma.f64 -1/2 (.f64 th th) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a2 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))) a2)) (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a2 a2) (-.f64 1 (.f64 1/4 (pow.f64 th 4)))) (-.f64 1 (.f64 -1/2 (.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a2 a2) (neg.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1))) (neg.f64 (fma.f64 -1/2 (.f64 th th) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a2 a2) (neg.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))))) (neg.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (.f64 a2 a2) (hypot.f64 1 (.f64 th (sqrt.f64 -1/2)))) (sqrt.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (.f64 a2 a2) (hypot.f64 1 (.f64 th (sqrt.f64 -1/2)))) (sqrt.f64 (+.f64 (.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/2 (.f64 th th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -1/2 (.f64 th th) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/2 (.f64 th th) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (.f64 th th) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 1/4 (pow.f64 th 4)) (fma.f64 -1/2 (.f64 th th) -1)) (+.f64 (/.f64 1 (fma.f64 -1/2 (.f64 th th) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/2 (.f64 th th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 th (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 th th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/8 (pow.f64 (.f64 th th) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/4 (pow.f64 th 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (.f64 th th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 th th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -1/8 (pow.f64 (.f64 th th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -1/2 (.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -1/2 (.f64 th th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 th th))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/2 (.f64 th th) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (.f64 th th) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 1/4 (pow.f64 th 4)) (fma.f64 -1/2 (.f64 th th) -1)) (/.f64 1 (fma.f64 -1/2 (.f64 th th) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (.f64 -1/2 (.f64 th th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -1/2 (.f64 th th) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -1/2 (.f64 th th) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -1/2 (.f64 th th) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 th th) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 th th) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (.f64 th th) 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(cbrt.f64 (.f64 1/4 (pow.f64 th 4))) (cbrt.f64 (.f64 -1/2 (.f64 th th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/2 th) th 1)))))

simplify127.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1168×	`associate-/l*`
816×	`associate-r`
800×	`associate-l`
770×	`associate-+l+`
426×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	463	11012
1	1203	10362
2	6274	10362

Stop Event

1×	node limit

Counts

268 → 295

Calls

Call 1

Inputs
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
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(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) (pow.f64 a2 4))) 1) (/.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (.f64 a2 a2))) (sqrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) (pow.f64 a2 4))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (.f64 a2 a2))) (pow.f64 2 1/4)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) (pow.f64 a2 4))) (cbrt.f64 2)) (cbrt.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))))
(.f64 (/.f64 (.f64 (fma.f64 -1/2 (*.f64 th th) 1) a2) 1) (/.f64 a2 (sqrt.f64 2)))
(.f64 (/.f64 (.f64 (fma.f64 -1/2 (*.f64 th th) 1) a2) (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(.f64 (/.f64 (.f64 (fma.f64 -1/2 (*.f64 th th) 1) a2) (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 1)
(pow.f64 (/.f64 (.f64 a2 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2)))) (pow.f64 2 1/4)) 2)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (fma.f64 -1/2 (.f64 th th) 1)) -1)
(neg.f64 (/.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) (pow.f64 a2 4)) 2))
(log.f64 (exp.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 3))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(exp.f64 (log.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (.f64 th th)) 0)
(+.f64 1 (fma.f64 -1/2 (*.f64 th th) -1))
(-.f64 (fma.f64 -1/2 (*.f64 th th) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 th th) 1))) 2)
(-.f64 (/.f64 (.f64 1/4 (pow.f64 th 4)) (fma.f64 -1/2 (.f64 th th) -1)) (+.f64 (/.f64 1 (fma.f64 -1/2 (*.f64 th th) -1)) 1))
(pow.f64 (.f64 -1/2 (.f64 th th)) 1)
(pow.f64 (*.f64 th (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 th th))) 3)
(pow.f64 (.f64 -1/8 (pow.f64 (.f64 th th) 3)) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 th 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 th th)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 th th)))))
(cbrt.f64 (.f64 -1/8 (pow.f64 (.f64 th th) 3)))
(expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 th th))))
(exp.f64 (log.f64 (.f64 -1/2 (.f64 th th))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (*.f64 th th))) 1))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 th th))))
(-.f64 (fma.f64 -1/2 (*.f64 th th) 1) 0)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 th th) 1))) 1)
(-.f64 (/.f64 (.f64 1/4 (pow.f64 th 4)) (fma.f64 -1/2 (.f64 th th) -1)) (/.f64 1 (fma.f64 -1/2 (*.f64 th th) -1)))
(-.f64 (+.f64 2 (.f64 -1/2 (.f64 th th))) 1)
(.f64 1 (fma.f64 -1/2 (.f64 th th) 1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) 1)
(.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))))
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 th th) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 th th) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1) (/.f64 1 (fma.f64 -1/2 (*.f64 th th) -1)))
(.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th))))))
(/.f64 1 (/.f64 (fma.f64 -1/2 (.f64 th th) -1) (+.f64 (.f64 1/4 (pow.f64 th 4)) -1)))
(/.f64 1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 1 (.f64 -1/8 (pow.f64 (*.f64 th th) 3)))))
(/.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1) (fma.f64 -1/2 (.f64 th th) -1))
(/.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))) (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (*.f64 th th)))))
(/.f64 (-.f64 1 (.f64 1/4 (pow.f64 th 4))) (-.f64 1 (.f64 -1/2 (*.f64 th th))))
(/.f64 (neg.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1)) (neg.f64 (fma.f64 -1/2 (.f64 th th) -1)))
(/.f64 (neg.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3)))) (neg.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (*.f64 th th))))))
(/.f64 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))) 1) (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th)))))
(/.f64 (.f64 1 (-.f64 1 (.f64 1/4 (pow.f64 th 4)))) (-.f64 1 (.f64 -1/2 (.f64 th th))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1))) (neg.f64 (fma.f64 -1/2 (*.f64 th th) -1)))
(/.f64 (.f64 1 (neg.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))))) (neg.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th))))))
(/.f64 (.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (sqrt.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (*.f64 th th))))))
(/.f64 (.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1))) (sqrt.f64 (fma.f64 -1/2 (.f64 th th) -1)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 th th) 1)) 2) (cbrt.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (*.f64 th th))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 th th) 1)) 2) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1))) (cbrt.f64 (fma.f64 -1/2 (.f64 th th) -1)))
(/.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1) 1) (fma.f64 -1/2 (*.f64 th th) -1))
(/.f64 (.f64 (-.f64 1 (.f64 1/4 (pow.f64 th 4))) 1) (-.f64 1 (.f64 -1/2 (.f64 th th))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1)) 1) (neg.f64 (fma.f64 -1/2 (*.f64 th th) -1)))
(/.f64 (.f64 (neg.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3)))) 1) (neg.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3)))) (hypot.f64 1 (.f64 th (sqrt.f64 -1/2)))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (*.f64 th th))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1)) (hypot.f64 1 (.f64 th (sqrt.f64 -1/2)))) (sqrt.f64 (fma.f64 -1/2 (.f64 th th) -1)))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 th th) 1)) 2)) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (*.f64 th th))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 th th) 1)) 2)) (cbrt.f64 (fma.f64 -1/2 (.f64 th th) -1)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 1/4 (pow.f64 th 4)) (.f64 1/4 (pow.f64 th 4))) 1) (/.f64 1 (fma.f64 -1/2 (.f64 th th) -1))) (+.f64 1 (.f64 1/4 (pow.f64 th 4))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/4 (pow.f64 th 4)) 3) 1) (/.f64 1 (fma.f64 -1/2 (.f64 th th) -1))) (+.f64 (.f64 (.f64 1/4 (pow.f64 th 4)) (.f64 1/4 (pow.f64 th 4))) (+.f64 1 (.f64 (.f64 1/4 (pow.f64 th 4)) 1))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 -1/8 (pow.f64 (.f64 th th) 3)) (.f64 -1/8 (pow.f64 (.f64 th th) 3))) 1) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th)))))) (-.f64 (.f64 -1/8 (pow.f64 (*.f64 th th) 3)) 1))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 -1/8 (pow.f64 (.f64 th th) 3)) 3)) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th)))))) (+.f64 (.f64 (.f64 -1/8 (pow.f64 (.f64 th th) 3)) (.f64 -1/8 (pow.f64 (.f64 th th) 3))) (-.f64 1 (.f64 (.f64 -1/8 (pow.f64 (.f64 th th) 3)) 1))))
(/.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1) 1) (fma.f64 -1/2 (.f64 th th) -1))
(/.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1) (sqrt.f64 (fma.f64 -1/2 (.f64 th th) -1))) (sqrt.f64 (fma.f64 -1/2 (*.f64 th th) -1)))
(/.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1) (.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 th th) -1)) (cbrt.f64 (fma.f64 -1/2 (.f64 th th) -1)))) (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) -1)))
(/.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1) (+.f64 1 (.f64 th (sqrt.f64 -1/2)))) (-.f64 (*.f64 th (sqrt.f64 -1/2)) 1))
(/.f64 (/.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))) 1) (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (*.f64 th th)))))
(/.f64 (/.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th)))))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th))))))
(/.f64 (/.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))) (.f64 (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th))))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th))))))
(/.f64 (/.f64 (-.f64 1 (.f64 1/4 (pow.f64 th 4))) 1) (-.f64 1 (.f64 -1/2 (*.f64 th th))))
(/.f64 (/.f64 (-.f64 1 (.f64 1/4 (pow.f64 th 4))) (sqrt.f64 (-.f64 1 (.f64 -1/2 (.f64 th th))))) (sqrt.f64 (-.f64 1 (.f64 -1/2 (*.f64 th th)))))
(/.f64 (/.f64 (-.f64 1 (.f64 1/4 (pow.f64 th 4))) (.f64 (cbrt.f64 (-.f64 1 (.f64 -1/2 (.f64 th th)))) (cbrt.f64 (-.f64 1 (.f64 -1/2 (.f64 th th)))))) (cbrt.f64 (-.f64 1 (.f64 -1/2 (.f64 th th)))))
(pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 1)
(pow.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 th th) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 th th) 1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 th th) 1)))
(exp.f64 (log1p.f64 (.f64 -1/2 (.f64 th th))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 (*.f64 th th))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 th th) 1)))
(fma.f64 -1/2 (*.f64 th th) 1)
(fma.f64 (*.f64 th th) -1/2 1)
(fma.f64 1 (.f64 -1/2 (.f64 th th)) 1)
(fma.f64 (.f64 th (sqrt.f64 -1/2)) (.f64 th (sqrt.f64 -1/2)) 1)
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 th 4))) (cbrt.f64 (.f64 -1/2 (*.f64 th th))) 1)
(fma.f64 (*.f64 -1/2 th) th 1)

Outputs
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(.f64 (.f64 (.f64 a2 a2) -1/2) (.f64 th th))
(.f64 -1/2 (.f64 (.f64 a2 th) (.f64 a2 th)))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(.f64 (.f64 (.f64 a2 a2) -1/2) (.f64 th th))
(.f64 -1/2 (.f64 (.f64 a2 th) (.f64 a2 th)))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2))
(.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 a2 (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
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(/.f64 (/.f64 (fma.f64 1/64 (pow.f64 (.f64 th th) 6) -1) (fma.f64 -1/2 (.f64 th th) -1)) (fma.f64 1/16 (pow.f64 th 8) (fma.f64 1/4 (pow.f64 th 4) 1)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 -1/8 (pow.f64 (.f64 th th) 3)) (.f64 -1/8 (pow.f64 (.f64 th th) 3))) 1) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th)))))) (-.f64 (.f64 -1/8 (pow.f64 (*.f64 th th) 3)) 1))
(/.f64 (+.f64 (.f64 1/64 (.f64 (pow.f64 (.f64 th th) 3) (pow.f64 (.f64 th th) 3))) -1) (/.f64 (fma.f64 -1/8 (pow.f64 (.f64 th th) 3) -1) (/.f64 1 (fma.f64 1/4 (pow.f64 th 4) (+.f64 1 (.f64 1/2 (*.f64 th th)))))))
(/.f64 (fma.f64 1/64 (pow.f64 (.f64 th th) 6) -1) (.f64 (fma.f64 -1/8 (pow.f64 th 6) -1) (+.f64 (fma.f64 1/4 (pow.f64 th 4) 1) (.f64 (.f64 th th) 1/2))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 -1/8 (pow.f64 (.f64 th th) 3)) 3)) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th)))))) (+.f64 (.f64 (.f64 -1/8 (pow.f64 (.f64 th th) 3)) (.f64 -1/8 (pow.f64 (.f64 th th) 3))) (-.f64 1 (.f64 (.f64 -1/8 (pow.f64 (.f64 th th) 3)) 1))))
(/.f64 (+.f64 1 (.f64 -1/512 (pow.f64 (pow.f64 (.f64 th th) 3) 3))) (/.f64 (-.f64 (+.f64 (.f64 1/64 (.f64 (pow.f64 (.f64 th th) 3) (pow.f64 (.f64 th th) 3))) 1) (.f64 -1/8 (pow.f64 (.f64 th th) 3))) (/.f64 1 (fma.f64 1/4 (pow.f64 th 4) (+.f64 1 (.f64 1/2 (.f64 th th)))))))
(/.f64 (fma.f64 -1/512 (pow.f64 (pow.f64 th 6) 3) 1) (.f64 (+.f64 (fma.f64 1/64 (pow.f64 (.f64 th th) 6) 1) (.f64 (pow.f64 th 6) 1/8)) (+.f64 (fma.f64 1/4 (pow.f64 th 4) 1) (.f64 (*.f64 th th) 1/2))))
(/.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1) 1) (fma.f64 -1/2 (.f64 th th) -1))
(/.f64 (fma.f64 1/4 (pow.f64 th 4) -1) (fma.f64 -1/2 (*.f64 th th) -1))
(/.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1) (sqrt.f64 (fma.f64 -1/2 (.f64 th th) -1))) (sqrt.f64 (fma.f64 -1/2 (*.f64 th th) -1)))
(/.f64 (fma.f64 1/4 (pow.f64 th 4) -1) (fma.f64 -1/2 (*.f64 th th) -1))
(/.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1) (.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 th th) -1)) (cbrt.f64 (fma.f64 -1/2 (.f64 th th) -1)))) (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) -1)))
(/.f64 (fma.f64 1/4 (pow.f64 th 4) -1) (fma.f64 -1/2 (*.f64 th th) -1))
(/.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) -1) (+.f64 1 (.f64 th (sqrt.f64 -1/2)))) (-.f64 (*.f64 th (sqrt.f64 -1/2)) 1))
(/.f64 (fma.f64 1/4 (pow.f64 th 4) -1) (.f64 (fma.f64 th (sqrt.f64 -1/2) -1) (+.f64 1 (.f64 th (sqrt.f64 -1/2)))))
(/.f64 (fma.f64 1/4 (pow.f64 th 4) -1) (*.f64 (fma.f64 th (sqrt.f64 -1/2) 1) (fma.f64 th (sqrt.f64 -1/2) -1)))
(/.f64 (/.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))) 1) (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (*.f64 th th)))))
(/.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))) (fma.f64 1/4 (pow.f64 th 4) (+.f64 1 (.f64 1/2 (.f64 th th)))))
(/.f64 (fma.f64 -1/8 (pow.f64 th 6) 1) (+.f64 (fma.f64 1/4 (pow.f64 th 4) 1) (.f64 (.f64 th th) 1/2)))
(/.f64 (/.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th)))))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th))))))
(/.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))) (fma.f64 1/4 (pow.f64 th 4) (+.f64 1 (.f64 1/2 (.f64 th th)))))
(/.f64 (fma.f64 -1/8 (pow.f64 th 6) 1) (+.f64 (fma.f64 1/4 (pow.f64 th 4) 1) (.f64 (.f64 th th) 1/2)))
(/.f64 (/.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))) (.f64 (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th))))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 th 4)) (-.f64 1 (.f64 -1/2 (.f64 th th))))))
(/.f64 (+.f64 1 (.f64 -1/8 (pow.f64 (.f64 th th) 3))) (fma.f64 1/4 (pow.f64 th 4) (+.f64 1 (.f64 1/2 (.f64 th th)))))
(/.f64 (fma.f64 -1/8 (pow.f64 th 6) 1) (+.f64 (fma.f64 1/4 (pow.f64 th 4) 1) (.f64 (.f64 th th) 1/2)))
(/.f64 (/.f64 (-.f64 1 (.f64 1/4 (pow.f64 th 4))) 1) (-.f64 1 (.f64 -1/2 (*.f64 th th))))
(/.f64 (fma.f64 1/4 (pow.f64 th 4) -1) (fma.f64 -1/2 (*.f64 th th) -1))
(/.f64 (/.f64 (-.f64 1 (.f64 1/4 (pow.f64 th 4))) (sqrt.f64 (-.f64 1 (.f64 -1/2 (.f64 th th))))) (sqrt.f64 (-.f64 1 (.f64 -1/2 (*.f64 th th)))))
(/.f64 (fma.f64 1/4 (pow.f64 th 4) -1) (fma.f64 -1/2 (*.f64 th th) -1))
(/.f64 (/.f64 (-.f64 1 (.f64 1/4 (pow.f64 th 4))) (.f64 (cbrt.f64 (-.f64 1 (.f64 -1/2 (.f64 th th)))) (cbrt.f64 (-.f64 1 (.f64 -1/2 (.f64 th th)))))) (cbrt.f64 (-.f64 1 (.f64 -1/2 (.f64 th th)))))
(/.f64 (fma.f64 1/4 (pow.f64 th 4) -1) (fma.f64 -1/2 (*.f64 th th) -1))
(pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 1)
(fma.f64 -1/2 (*.f64 th th) 1)
(pow.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 3)
(fma.f64 -1/2 (*.f64 th th) 1)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 3) 1/3)
(fma.f64 -1/2 (*.f64 th th) 1)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2))
(fabs.f64 (fma.f64 -1/2 (*.f64 th th) 1))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 th th) 1)))
(fma.f64 -1/2 (*.f64 th th) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 th th) 1))))
(fma.f64 -1/2 (*.f64 th th) 1)
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 3))
(fma.f64 -1/2 (*.f64 th th) 1)
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 th th) 1)))
(fma.f64 -1/2 (*.f64 th th) 1)
(exp.f64 (log1p.f64 (.f64 -1/2 (.f64 th th))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 (*.f64 th th))) 1))
(exp.f64 (log1p.f64 (.f64 -1/2 (.f64 th th))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 th th) 1)))
(fma.f64 -1/2 (*.f64 th th) 1)
(fma.f64 -1/2 (*.f64 th th) 1)
(fma.f64 (*.f64 th th) -1/2 1)
(fma.f64 -1/2 (*.f64 th th) 1)
(fma.f64 1 (.f64 -1/2 (.f64 th th)) 1)
(fma.f64 -1/2 (*.f64 th th) 1)
(fma.f64 (.f64 th (sqrt.f64 -1/2)) (.f64 th (sqrt.f64 -1/2)) 1)
(+.f64 (pow.f64 (*.f64 th (sqrt.f64 -1/2)) 2) 1)
(+.f64 1 (pow.f64 (*.f64 th (sqrt.f64 -1/2)) 2))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 th 4))) (cbrt.f64 (.f64 -1/2 (*.f64 th th))) 1)
(fma.f64 (*.f64 -1/2 th) th 1)
(fma.f64 -1/2 (*.f64 th th) 1)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

12 calls:

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

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`associate-*l/`
1464×	`associate-/l*`
1106×	`*-commutative`
644×	`associate-/r/`
284×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	229	55
2	2977	55

Stop Event

1×	node limit

Counts

3 → 221

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (/.f64 1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (neg.f64 (neg.f64 (/.f64 1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) a2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (/.f64 1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 (/.f64 2 (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (/.f64 1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2))) (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 1/4) (/.f64 1 a2)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 a2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a2)) (/.f64 (sqrt.f64 2) (sqrt.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 a2)) (/.f64 1 (sqrt.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 a2)) (/.f64 1 (pow.f64 (cbrt.f64 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sqrt.f64 2) (neg.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2)))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 a2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) 1) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) a2) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 a2)) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) a2) (/.f64 (cbrt.f64 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 a2)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 a2)) (/.f64 (cbrt.f64 2) (sqrt.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) a2) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 a2 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))) (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 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(/.f64 a2 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))) 1) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (cbrt.f64 (/.f64 2 (*.f64 a2 a2)))) 1) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) (*.f64 (/.f64 a2 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th)))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (cos.f64 th) (/.f64 a2 (pow.f64 2 1/4)))) (sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a2) (*.f64 (cos.f64 th) (/.f64 a2 (pow.f64 2 1/4)))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (neg.f64 a2)) (*.f64 (cos.f64 th) (/.f64 a2 (pow.f64 2 1/4)))) (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) (pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a2) (*.f64 a2 (cos.f64 th))) (/.f64 (sqrt.f64 2) (sqrt.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 a2 (cos.f64 th))) (/.f64 (sqrt.f64 2) (cbrt.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a2) (*.f64 a2 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a2 1) (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th))) (/.f64 1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 a2) (pow.f64 2 1/4)) (*.f64 a2 (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (*.f64 a2 a2)))) (*.f64 a2 (cos.f64 th))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a2 (pow.f64 2 1/4)) (*.f64 a2 (cos.f64 th))) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a2 (cbrt.f64 2)) (*.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 a2 (/.f64 1 (cos.f64 th)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 a2 (/.f64 1 (cos.f64 th)))) (/.f64 (sqrt.f64 2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a2) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (/.f64 (sqrt.f64 2) (sqrt.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (/.f64 (sqrt.f64 2) (cbrt.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a2) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a2 1) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (/.f64 1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 a2) (pow.f64 2 1/4)) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (*.f64 a2 a2)))) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a2 (cbrt.f64 2)) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 a2 (/.f64 1 (cos.f64 th)))) (/.f64 (sqrt.f64 2) (neg.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))) (cbrt.f64 (/.f64 2 (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 (cos.f64 th)) (neg.f64 a2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a2 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (neg.f64 a2) (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))))))))

simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1226×	`times-frac`
1206×	`associate-/l*`
1072×	`distribute-lft-in`
778×	`associate-/r*`
630×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	503	7271
1	1415	7037
2	6825	7037

Stop Event

1×	node limit

Counts

257 → 296

Calls

Call 1

Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a2))) 1)
(*.f64 (sqrt.f64 2) (/.f64 1 a2))
(*.f64 (sqrt.f64 2) (neg.f64 (neg.f64 (/.f64 1 a2))))
(*.f64 (/.f64 (sqrt.f64 2) a2) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) a2))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (/.f64 1 a2)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 a2)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 (/.f64 2 (.f64 a2 a2))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)))
(.f64 (cbrt.f64 (/.f64 2 (.f64 a2 a2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(.f64 (cbrt.f64 (/.f64 2 (.f64 a2 a2))) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))))
(*.f64 (/.f64 1 a2) (sqrt.f64 2))
(*.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (/.f64 1 a2)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 a2)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2))) (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))))
(.f64 (.f64 (pow.f64 2 1/4) (/.f64 1 a2)) (pow.f64 2 1/4))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 a2)) (cbrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 a2)) (/.f64 (sqrt.f64 2) (sqrt.f64 a2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 a2)))
(*.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 1 a2))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 a2)) (/.f64 1 (sqrt.f64 a2)))
(*.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 a2)) (/.f64 1 (pow.f64 (cbrt.f64 a2) 2)))
(*.f64 -1 (/.f64 (sqrt.f64 2) (neg.f64 a2)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))
(.f64 (neg.f64 (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (/.f64 1 (neg.f64 a2)) (neg.f64 (sqrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 (/.f64 2 (.f64 a2 a2))) 1) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) a2))
(*.f64 (/.f64 (pow.f64 2 1/4) a2) (pow.f64 2 1/4))
(*.f64 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) 1))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a2)))
(*.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 a2)) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) a2) (/.f64 (cbrt.f64 2) 1))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 a2)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 a2)))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 a2)) (/.f64 (cbrt.f64 2) (sqrt.f64 a2)))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (/.f64 (cbrt.f64 2) a2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 1 (/.f64 a2 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))) (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2))))) (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 2 (.f64 a2 a2))))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(pow.f64 (/.f64 (sqrt.f64 2) a2) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3) 1/3)
(pow.f64 (/.f64 a2 (sqrt.f64 2)) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))
(sqrt.f64 (/.f64 2 (*.f64 a2 a2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) a2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) a2))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 a2 3) (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a2)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) a2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 1)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(.f64 1 (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(.f64 (sqrt.f64 a2) (.f64 (/.f64 (sqrt.f64 a2) (sqrt.f64 2)) a2))
(.f64 (cbrt.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 2))
(.f64 (cbrt.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (/.f64 2 (*.f64 a2 a2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 2) (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(*.f64 (cbrt.f64 a2) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (sqrt.f64 2) a2)))
(.f64 (pow.f64 (cbrt.f64 a2) 2) (.f64 (/.f64 (cbrt.f64 a2) (sqrt.f64 2)) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 a2 1))
(*.f64 (neg.f64 a2) (/.f64 a2 (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (sqrt.f64 a2) (sqrt.f64 2)) a2) (sqrt.f64 a2))
(.f64 (.f64 (/.f64 (sqrt.f64 a2) (sqrt.f64 2)) a2) (/.f64 (sqrt.f64 a2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 a2))
(*.f64 (/.f64 a2 1) (/.f64 a2 (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (/.f64 (sqrt.f64 a2) (pow.f64 2 1/4)))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 a2 1) a2))
(*.f64 (/.f64 (sqrt.f64 a2) (pow.f64 2 1/4)) (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) (/.f64 a2 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (/.f64 a2 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 a2 1) a2) (/.f64 1 (sqrt.f64 2)))
(.f64 (/.f64 a2 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))) (/.f64 1 (cbrt.f64 (/.f64 2 (.f64 a2 a2)))))
(.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (.f64 a2 (neg.f64 a2)))
(.f64 (/.f64 (sqrt.f64 a2) (sqrt.f64 2)) (.f64 (/.f64 a2 1) (sqrt.f64 a2)))
(.f64 (.f64 (/.f64 a2 1) (sqrt.f64 a2)) (/.f64 (sqrt.f64 a2) (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 a2) 1) (.f64 (/.f64 (sqrt.f64 a2) (sqrt.f64 2)) a2))
(.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) (/.f64 (sqrt.f64 a2) (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))
(.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 (/.f64 (sqrt.f64 2) a2))) (/.f64 (sqrt.f64 a2) (cbrt.f64 (/.f64 2 (.f64 a2 a2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)) (.f64 (/.f64 a2 1) (cbrt.f64 a2)))
(.f64 (.f64 (/.f64 a2 1) (cbrt.f64 a2)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (.f64 (/.f64 (cbrt.f64 a2) (sqrt.f64 2)) a2))
(.f64 (.f64 (/.f64 (cbrt.f64 a2) (sqrt.f64 2)) a2) (pow.f64 (cbrt.f64 a2) 2))
(.f64 (.f64 (/.f64 (cbrt.f64 a2) (sqrt.f64 2)) a2) (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (/.f64 (cbrt.f64 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (/.f64 (cbrt.f64 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(*.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))) (neg.f64 a2))
(*.f64 (/.f64 (neg.f64 a2) (sqrt.f64 2)) (neg.f64 a2))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a2) 2))) (cbrt.f64 a2))
(*.f64 (/.f64 a2 -1) (/.f64 a2 (neg.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 (pow.f64 (cbrt.f64 a2) 2)))) (cbrt.f64 a2))
(*.f64 (/.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 a2))) (sqrt.f64 a2))
(*.f64 (/.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 1 (pow.f64 (cbrt.f64 a2) 2))) (cbrt.f64 a2))
(*.f64 (/.f64 (/.f64 a2 (sqrt.f64 2)) -1) (neg.f64 a2))
(*.f64 (/.f64 (neg.f64 a2) -1) (/.f64 a2 (sqrt.f64 2)))
(*.f64 (/.f64 (/.f64 a2 1) 1) (/.f64 a2 (sqrt.f64 2)))
(*.f64 (/.f64 (/.f64 a2 1) (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(*.f64 (/.f64 (/.f64 a2 1) (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 a2 1) (neg.f64 (sqrt.f64 2))) (neg.f64 a2))
(*.f64 (/.f64 (/.f64 a2 1) (/.f64 (sqrt.f64 2) 1)) a2)
(*.f64 (/.f64 (/.f64 a2 1) (/.f64 (sqrt.f64 2) (sqrt.f64 a2))) (sqrt.f64 a2))
(*.f64 (/.f64 (/.f64 a2 1) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a2) 2))) (cbrt.f64 a2))
(*.f64 (/.f64 (/.f64 a2 1) -1) (/.f64 a2 (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) 1) (sqrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 a2)))
(.f64 (/.f64 (/.f64 a2 (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) 1) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 a2 (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 a2))
(.f64 (/.f64 (/.f64 a2 (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (cbrt.f64 (neg.f64 a2)))
(pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -1)
(neg.f64 (/.f64 (neg.f64 a2) (/.f64 (sqrt.f64 2) a2)))
(neg.f64 (*.f64 a2 (/.f64 a2 (neg.f64 (sqrt.f64 2)))))
(neg.f64 (*.f64 (/.f64 (neg.f64 a2) (/.f64 (sqrt.f64 2) a2)) 1))
(sqrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)))) 1)
(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))) 1))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) 1)
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a2) (*.f64 a2 (cos.f64 th))))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))) a2))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)))
(/.f64 (sqrt.f64 a2) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))) (sqrt.f64 a2)))
(/.f64 (sqrt.f64 a2) (/.f64 (/.f64 (sqrt.f64 2) a2) (*.f64 (cos.f64 th) (sqrt.f64 a2))))
(/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (sqrt.f64 (cos.f64 th))))
(/.f64 (cbrt.f64 a2) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))) (pow.f64 (cbrt.f64 a2) 2)))
(/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))) (cbrt.f64 a2)))
(/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (/.f64 (sqrt.f64 2) a2) (*.f64 (cos.f64 th) (cbrt.f64 a2))))
(/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cbrt.f64 (cos.f64 th))))
(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2))
(/.f64 (neg.f64 a2) (/.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)) (cos.f64 th)))
(/.f64 (sqrt.f64 (.f64 a2 (cos.f64 th))) (/.f64 (/.f64 (sqrt.f64 2) a2) (sqrt.f64 (.f64 a2 (cos.f64 th)))))
(/.f64 (.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (cbrt.f64 (.f64 a2 (cos.f64 th)))) (/.f64 (/.f64 (sqrt.f64 2) a2) (cbrt.f64 (.f64 a2 (cos.f64 th)))))
(/.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (/.f64 (/.f64 (sqrt.f64 2) a2) (sqrt.f64 (cos.f64 th))))
(/.f64 (*.f64 a2 (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (/.f64 (sqrt.f64 2) a2) (cbrt.f64 (cos.f64 th))))
(/.f64 (.f64 (cos.f64 th) (sqrt.f64 a2)) (/.f64 (sqrt.f64 2) (.f64 a2 (sqrt.f64 a2))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 a2)) (/.f64 (sqrt.f64 2) (neg.f64 a2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) (/.f64 1 a2))
(/.f64 (/.f64 a2 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (/.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 (sqrt.f64 a2) (sqrt.f64 (cos.f64 th))) (/.f64 (/.f64 (sqrt.f64 2) a2) (.f64 (sqrt.f64 a2) (sqrt.f64 (cos.f64 th)))))
(/.f64 (/.f64 a2 (/.f64 1 (cos.f64 th))) (/.f64 (sqrt.f64 2) a2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 a2) 2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 a2 (cbrt.f64 a2))))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (/.f64 a2 1) (cos.f64 th)) (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (cos.f64 th)) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 (/.f64 a2 (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) (cos.f64 th)) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 -1 (cos.f64 th)) (neg.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(/.f64 (.f64 (.f64 (cos.f64 th) (neg.f64 a2)) 1) (/.f64 (sqrt.f64 2) (neg.f64 a2)))
(/.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) 1) (/.f64 1 a2))
(/.f64 (*.f64 (/.f64 a2 (/.f64 1 (cos.f64 th))) 1) (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 (/.f64 a2 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))) 1) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 (/.f64 (.f64 a2 (cos.f64 th)) (cbrt.f64 (/.f64 2 (*.f64 a2 a2)))) 1) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 (sqrt.f64 (.f64 a2 (cos.f64 th))) (*.f64 (/.f64 a2 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th)))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 1 (.f64 (cos.f64 th) (/.f64 a2 (pow.f64 2 1/4)))) (sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(/.f64 (.f64 (sqrt.f64 a2) (.f64 (cos.f64 th) (/.f64 a2 (pow.f64 2 1/4)))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 (sqrt.f64 (neg.f64 a2)) (.f64 (cos.f64 th) (/.f64 a2 (pow.f64 2 1/4)))) (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2))))
(/.f64 (.f64 (cbrt.f64 (.f64 a2 (cos.f64 th))) (pow.f64 (cbrt.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 a2) (.f64 a2 (cos.f64 th))) (/.f64 (sqrt.f64 2) (sqrt.f64 a2)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 a2) 2) (.f64 a2 (cos.f64 th))) (/.f64 (sqrt.f64 2) (cbrt.f64 a2)))
(/.f64 (.f64 (neg.f64 a2) (.f64 a2 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 a2 1) (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 (cos.f64 th))) (/.f64 1 a2))
(/.f64 (.f64 (/.f64 (sqrt.f64 a2) (pow.f64 2 1/4)) (.f64 a2 (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) (*.f64 a2 (cos.f64 th))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 (/.f64 a2 (pow.f64 2 1/4)) (.f64 a2 (cos.f64 th))) (pow.f64 2 1/4))
(/.f64 (.f64 (/.f64 a2 (cbrt.f64 2)) (.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a2 (/.f64 a2 (/.f64 1 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (*.f64 1 (/.f64 a2 (/.f64 1 (cos.f64 th)))) (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 (sqrt.f64 a2) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (/.f64 (sqrt.f64 2) (sqrt.f64 a2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (/.f64 (sqrt.f64 2) (cbrt.f64 a2)))
(/.f64 (*.f64 (neg.f64 a2) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (/.f64 a2 1) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (/.f64 1 a2))
(/.f64 (*.f64 (/.f64 (sqrt.f64 a2) (pow.f64 2 1/4)) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (pow.f64 2 1/4))
(/.f64 (*.f64 (/.f64 a2 (cbrt.f64 2)) (/.f64 a2 (/.f64 1 (cos.f64 th)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 -1 (/.f64 a2 (/.f64 1 (cos.f64 th)))) (/.f64 (sqrt.f64 2) (neg.f64 a2)))
(/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2))
(/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 a2 (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))) (cbrt.f64 (/.f64 2 (.f64 a2 a2))))
(/.f64 (.f64 (.f64 a2 (cos.f64 th)) (neg.f64 a2)) (neg.f64 (sqrt.f64 2)))
(pow.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) 1)
(pow.f64 (*.f64 (/.f64 a2 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))) 3)
(pow.f64 (pow.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (neg.f64 a2) (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)))
(sqrt.f64 (pow.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)))))
(cbrt.f64 (pow.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))))
(exp.f64 (log.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))))
(log1p.f64 (expm1.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))))

Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
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(pow.f64 (cbrt.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))) 3)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(pow.f64 (pow.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) 3) 1/3)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(neg.f64 (*.f64 (/.f64 (neg.f64 a2) (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(sqrt.f64 (pow.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 2))
(fabs.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) 3))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) (pow.f64 (cos.f64 th) 3)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (log.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))

eval457.0ms (3.3%)

Compiler: Compiled 19713 to 12370 computations (37.2% saved)

prune328.0ms (2.4%)

Pruning

33 alts after pruning (25 fresh and 8 done)

	Pruned	Kept	Total
New	958	15	973
Fresh	4	10	14
Picked	0	1	1
Done	1	7	8
Total	963	33	996

Error

Counts

996 → 33

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓	25.8b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
✓	45.6b	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
✓	29.9b	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	41.6b	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	25.6b	(/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 2))
✓	39.2b	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	30.2b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	41.6b	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	25.6b	(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) a1) (cos.f64 th)))
	39.2b	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	39.2b	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
▶	59.2b	(/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 th) (*.f64 a2 th))))
	25.8b	(+.f64 (.f64 (pow.f64 2 -1/2) (.f64 a2 a2)) (.f64 (pow.f64 2 -1/2) (.f64 a1 a1)))
	39.3b	(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
	39.2b	(.f64 (pow.f64 2 -1/2) (.f64 a1 a1))
	25.6b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
✓	29.9b	(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
▶	41.7b	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
✓	39.2b	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	39.2b	(.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 a1 (neg.f64 a1)))
	39.3b	(.f64 (.f64 (pow.f64 2 -1/2) a1) a1)
	31.1b	(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	0.5b	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	39.2b	(.f64 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
	54.5b	(.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1)
▶	54.5b	(*.f64 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))) a1)
	25.8b	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	25.6b	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 (cos.f64 th) a1) a1))
	29.9b	(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
✓	25.6b	(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
	25.6b	(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
	46.3b	(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))

Compiler

Compiled 702 to 532 computations (24.2% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	0.3b	(*.f64 (sqrt.f64 1/2) (cos.f64 th))
✓	0.4b	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

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

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`associate-*r/`
774×	`distribute-rgt-in`
724×	`distribute-lft-in`
634×	`associate-*l/`
302×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	293	48
2	3807	48

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 1) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 1) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a2 a2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 1)) (*.f64 1 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2)) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)) (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 1) 1) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))) (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 3)) (+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (*.f64 (+.f64 a1 a2) (neg.f64 (-.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 3))) (+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (hypot.f64 a1 a2)) (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (hypot.f64 a1 a2)) (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2)) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2)) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (+.f64 a1 a2) (neg.f64 (-.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) 1) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) 1) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 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(+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (hypot.f64 a1 a2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (*.f64 1/2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))))

simplify133.0ms (1%)

Algorithm

1×	egg-herbie

Rules

904×	`associate-/l*`
818×	`associate-r`
760×	`associate-l`
750×	`distribute-lft-neg-in`
746×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	7407
1	892	6851
2	5470	6685

Stop Event

1×	node limit

Counts

133 → 155

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)
(sqrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))
(cbrt.f64 (.f64 (.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 3) (.f64 1/2 (sqrt.f64 1/2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))

Outputs
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 th th))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) -1/2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (sqrt.f64 1/2)))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (pow.f64 th 4))) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 th th))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 1/24 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 th th)) -1/2))))
(+.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1))) (+.f64 (.f64 (.f64 th th) -1/2) (.f64 (pow.f64 th 4) 1/24))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (pow.f64 th 4))) (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (pow.f64 th 6))) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 th th))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(fma.f64 1/24 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 6))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) -1/2)))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1))) (+.f64 (.f64 (.f64 th th) -1/2) (.f64 (pow.f64 th 4) 1/24))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 (.f64 -1/720 (pow.f64 th 6)) 1) (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(sqrt.f64 1/2)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (sqrt.f64 1/2)))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 (.f64 th th) -1/2) (.f64 (pow.f64 th 4) 1/24))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (+.f64 (sqrt.f64 1/2) (.f64 -1/720 (.f64 (sqrt.f64 1/2) (pow.f64 th 6))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (+.f64 (fma.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (sqrt.f64 1/2)) (.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (fma.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (pow.f64 th 6)) (sqrt.f64 1/2))))
(+.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 (pow.f64 th 4) 1/24) (*.f64 (pow.f64 th 6) -1/720))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 1) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) 1))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) 1) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 1))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
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(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (+.f64 a1 a2)) (-.f64 a1 a2))
(.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) 1) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (pow.f64 a1 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a2 4)))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))))) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (pow.f64 a1 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a2 4)))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (pow.f64 a1 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a2 4)))))
(pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))) 1)
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (hypot.f64 a1 a2)) 2)
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))) 3)
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))) 3) 1/3)
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))) 2))
(sqrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) 2))
(fabs.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))) 3))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))) 1))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(fma.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 a1 a1) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (.f64 a1 a1) (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(sqrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(cbrt.f64 (.f64 (.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (cos.f64 th) 3)))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 3) (.f64 1/2 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`add-sqr-sqrt`
1584×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1458×	`add-cbrt-cube`
158×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	164	28
2	2009	28

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) (sqrt.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a2 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) a2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 2)) (/.f64 (sqrt.f64 a2) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) a2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 a2 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a2 (sqrt.f64 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (/.f64 (sqrt.f64 2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 a2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (neg.f64 a2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 a2) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))))))

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1190×	`associate-*r/`
900×	`unswap-sqr`
880×	`associate-/l*`
712×	`associate-+r-`
670×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	128	1080
1	296	1068
2	1246	1068
3	7098	1068

Stop Event

1×	node limit

Counts

66 → 69

Calls

Call 1

Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2)))) 1)
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 a2 (sqrt.f64 2)))
(.f64 (sqrt.f64 a2) (.f64 (sqrt.f64 a2) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) (sqrt.f64 (/.f64 a2 (sqrt.f64 2))))
(.f64 (pow.f64 (cbrt.f64 a2) 2) (.f64 (cbrt.f64 a2) (pow.f64 2 -1/2)))
(.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (cbrt.f64 (/.f64 (.f64 a2 a2) 2)))
(.f64 (cbrt.f64 (/.f64 (.f64 a2 a2) 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) a2)
(*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 2)) (/.f64 (sqrt.f64 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(pow.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) a2) -1)
(neg.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (*.f64 a2 a2) 2))
(log.f64 (exp.f64 (/.f64 a2 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a2 (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 a2 (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 1)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (*.f64 a2 (neg.f64 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 a2) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))
(pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))

Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2)))) 1)
(/.f64 a2 (sqrt.f64 2))
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(/.f64 a2 (sqrt.f64 2))
(*.f64 1 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (sqrt.f64 2))
(.f64 (sqrt.f64 a2) (.f64 (sqrt.f64 a2) (pow.f64 2 -1/2)))
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) (sqrt.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(.f64 (pow.f64 (cbrt.f64 a2) 2) (.f64 (cbrt.f64 a2) (pow.f64 2 -1/2)))
(*.f64 a2 (pow.f64 2 -1/2))
(.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (cbrt.f64 (/.f64 (.f64 a2 a2) 2)))
(*.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (cbrt.f64 (/.f64 a2 (/.f64 2 a2))))
(.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (cbrt.f64 (.f64 a2 (/.f64 a2 2))))
(.f64 (cbrt.f64 (/.f64 (.f64 a2 a2) 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (cbrt.f64 (/.f64 a2 (/.f64 2 a2))))
(.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (cbrt.f64 (.f64 a2 (/.f64 a2 2))))
(*.f64 (pow.f64 2 -1/2) a2)
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 2)) a2) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 a2 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 a2 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (sqrt.f64 2)))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 2)) (/.f64 (sqrt.f64 a2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 2)) a2) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 a2 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 a2 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (sqrt.f64 2)))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a2) (pow.f64 2 1/4)))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (/.f64 a2 (sqrt.f64 2)))) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 2)))
(pow.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) 2)
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 3)
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) 1/3)
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (/.f64 (sqrt.f64 2) a2) -1)
(/.f64 a2 (sqrt.f64 2))
(neg.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(sqrt.f64 (/.f64 (*.f64 a2 a2) 2))
(sqrt.f64 (/.f64 a2 (/.f64 2 a2)))
(sqrt.f64 (*.f64 a2 (/.f64 a2 2)))
(log.f64 (exp.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a2 (sqrt.f64 2)))))
(/.f64 a2 (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3))
(/.f64 a2 (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))) 1))
(/.f64 a2 (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 1)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 (neg.f64 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 a2) 1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 a2 (/.f64 (cbrt.f64 2) a2)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 a2 (cbrt.f64 (sqrt.f64 2))) (/.f64 a2 (cbrt.f64 2)))
(/.f64 (*.f64 a2 (/.f64 a2 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 3)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) 1/3)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(sqrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 a1 (/.f64 2 a1))
✓	0.2b	(*.f64 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))) a1)
✓	18.5b	(sqrt.f64 (/.f64 a1 (/.f64 2 a1)))

Compiler

Compiled 27 to 18 computations (33.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1900×	`add-sqr-sqrt`
1872×	`*-un-lft-identity`
1754×	`add-cube-cbrt`
1732×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	191	53
2	2447	53

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 1/4) (pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a1) (sqrt.f64 (*.f64 a1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a1) (/.f64 1 (sqrt.f64 (/.f64 2 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a1) (pow.f64 (*.f64 a1 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))) (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a1 1/2)) (sqrt.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a1 1/2) 1/2) (sqrt.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 2 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (/.f64 2 a1)) (sqrt.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 a1) (sqrt.f64 (/.f64 2 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 a1)) (sqrt.f64 (/.f64 -2 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 a1)) (neg.f64 (sqrt.f64 (/.f64 2 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 1/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 (/.f64 2 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a1) a1) (sqrt.f64 (/.f64 2 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a1 (*.f64 a1 1/2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a1 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a1 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (*.f64 a1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (*.f64 a1 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))) (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a1 (*.f64 a1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 1/4) (*.f64 (pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 1/4) (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (*.f64 a1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))) (pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))) (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))) 2) (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) (*.f64 a1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 1/2) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a1) (/.f64 1 (/.f64 -2 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 a1 (/.f64 1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))) (pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 1/4)) (pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))) (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2)))) (cbrt.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a1 1/2) 1) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a1 1/2) (sqrt.f64 a1)) (sqrt.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a1 1/2) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 2 a1))) (/.f64 a1 (sqrt.f64 (/.f64 2 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 2 a1)) 2)) (/.f64 a1 (cbrt.f64 (/.f64 2 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 1) (*.f64 a1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 -2) (neg.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a1) 2) (/.f64 (sqrt.f64 a1) (/.f64 1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (/.f64 2 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a1) (pow.f64 (cbrt.f64 (/.f64 2 a1)) 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (/.f64 2 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 2) (/.f64 (cbrt.f64 a1) (/.f64 1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (/.f64 2 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 (/.f64 2 a1))) (/.f64 (cbrt.f64 a1) (sqrt.f64 (/.f64 2 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 (cbrt.f64 (/.f64 2 a1)) 2)) (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 a1 a1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a1 (/.f64 -2 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (*.f64 a1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a1 (*.f64 a1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a1 (*.f64 a1 1/2))))))))

simplify103.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1466×	`associate-*r/`
1126×	`associate-/l*`
840×	`*-commutative`
696×	`associate-*l/`
660×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	2497
1	472	2399
2	1974	2385

Stop Event

1×	node limit

Counts

129 → 125

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(.f64 -1 (.f64 (sqrt.f64 1/2) a1))
(.f64 -1 (.f64 (sqrt.f64 1/2) a1))
(.f64 -1 (.f64 (sqrt.f64 1/2) a1))
(.f64 -1 (.f64 (sqrt.f64 1/2) a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 -1 (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(.f64 -1 (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(.f64 -1 (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(.f64 -1 (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 1/2 (pow.f64 a1 2))
(*.f64 1/2 (pow.f64 a1 2))
(*.f64 1/2 (pow.f64 a1 2))
(*.f64 1/2 (pow.f64 a1 2))
(*.f64 1/2 (pow.f64 a1 2))
(*.f64 1/2 (pow.f64 a1 2))
(*.f64 1/2 (pow.f64 a1 2))
(*.f64 1/2 (pow.f64 a1 2))
(*.f64 1/2 (pow.f64 a1 2))
(*.f64 1/2 (pow.f64 a1 2))
(*.f64 1/2 (pow.f64 a1 2))
(*.f64 1/2 (pow.f64 a1 2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))))) 1)
(.f64 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))) 1)
(.f64 1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))))
(.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 1/4) (pow.f64 (.f64 a1 (*.f64 a1 1/2)) 1/4))
(.f64 (sqrt.f64 a1) (sqrt.f64 (.f64 a1 1/2)))
(*.f64 (sqrt.f64 a1) (/.f64 1 (sqrt.f64 (/.f64 2 a1))))
(.f64 (sqrt.f64 a1) (pow.f64 (.f64 a1 1/2) 1/2))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))) (cbrt.f64 (.f64 a1 (*.f64 a1 1/2))))
(.f64 (cbrt.f64 (.f64 a1 (.f64 a1 1/2))) (cbrt.f64 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 a1 (.f64 a1 1/2))) 2)) (sqrt.f64 (cbrt.f64 (.f64 a1 (*.f64 a1 1/2)))))
(.f64 (sqrt.f64 (.f64 a1 1/2)) (sqrt.f64 a1))
(.f64 (pow.f64 (.f64 a1 1/2) 1/2) (sqrt.f64 a1))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a1 (.f64 a1 1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 a1 (*.f64 a1 1/2))) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 2 (*.f64 a1 a1))))
(/.f64 1 (/.f64 (sqrt.f64 (/.f64 2 a1)) (sqrt.f64 a1)))
(/.f64 (sqrt.f64 a1) (sqrt.f64 (/.f64 2 a1)))
(/.f64 (sqrt.f64 (neg.f64 a1)) (sqrt.f64 (/.f64 -2 a1)))
(/.f64 (neg.f64 (sqrt.f64 a1)) (neg.f64 (sqrt.f64 (/.f64 2 a1))))
(pow.f64 (.f64 a1 (.f64 a1 1/2)) 1/2)
(pow.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))) 1)
(pow.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))))))
(cbrt.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 a1 (*.f64 a1 1/2))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2)))))) 1)
(/.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 (/.f64 2 a1)))
(/.f64 (*.f64 (sqrt.f64 a1) a1) (sqrt.f64 (/.f64 2 a1)))
(pow.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2)))) 1)
(pow.f64 (sqrt.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))))) 2)
(pow.f64 (cbrt.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))))) 3)
(pow.f64 (pow.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2)))) 3) 1/3)
(sqrt.f64 (.f64 (.f64 a1 (.f64 a1 1/2)) (.f64 a1 a1)))
(log.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2)))))))
(cbrt.f64 (pow.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2)))) 3))
(expm1.f64 (log1p.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))))))
(exp.f64 (log.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))))))
(exp.f64 (.f64 (log.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))))) 1))
(log1p.f64 (expm1.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 a1 (.f64 a1 1/2)))) 1)
(.f64 a1 (.f64 a1 1/2))
(.f64 (.f64 a1 (*.f64 a1 1/2)) 1)
(.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))) (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))))
(.f64 1 (.f64 a1 (*.f64 a1 1/2)))
(.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 1/4) (.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 1/4) (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))))
(.f64 (sqrt.f64 a1) (.f64 (sqrt.f64 a1) (*.f64 a1 1/2)))
(.f64 (cbrt.f64 (.f64 a1 (.f64 a1 1/2))) (pow.f64 (cbrt.f64 (.f64 a1 (*.f64 a1 1/2))) 2))
(.f64 (cbrt.f64 (.f64 a1 (.f64 a1 1/2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))) (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 a1 (.f64 a1 1/2))) 2) (cbrt.f64 (.f64 a1 (*.f64 a1 1/2))))
(.f64 (pow.f64 (cbrt.f64 a1) 2) (.f64 (cbrt.f64 a1) (*.f64 a1 1/2)))
(.f64 (.f64 a1 1/2) a1)
(*.f64 (neg.f64 a1) (/.f64 1 (/.f64 -2 a1)))
(*.f64 1/2 (/.f64 a1 (/.f64 1 a1)))
(.f64 (.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))) (pow.f64 (.f64 a1 (.f64 a1 1/2)) 1/4)) (pow.f64 (.f64 a1 (.f64 a1 1/2)) 1/4))
(.f64 (.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))) (cbrt.f64 (.f64 a1 (.f64 a1 1/2)))) (cbrt.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))))
(.f64 (.f64 (*.f64 a1 1/2) 1) a1)
(.f64 (.f64 (*.f64 a1 1/2) (sqrt.f64 a1)) (sqrt.f64 a1))
(.f64 (.f64 (*.f64 a1 1/2) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 2 a1))) (/.f64 a1 (sqrt.f64 (/.f64 2 a1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 2 a1)) 2)) (/.f64 a1 (cbrt.f64 (/.f64 2 a1))))
(.f64 (/.f64 a1 1) (.f64 a1 1/2))
(*.f64 (/.f64 a1 -2) (neg.f64 a1))
(*.f64 (/.f64 (sqrt.f64 a1) 2) (/.f64 (sqrt.f64 a1) (/.f64 1 a1)))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (/.f64 2 a1)))
(*.f64 (/.f64 (sqrt.f64 a1) (pow.f64 (cbrt.f64 (/.f64 2 a1)) 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (/.f64 2 a1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 2) (/.f64 (cbrt.f64 a1) (/.f64 1 a1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (/.f64 2 a1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 (/.f64 2 a1))) (/.f64 (cbrt.f64 a1) (sqrt.f64 (/.f64 2 a1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 (cbrt.f64 (/.f64 2 a1)) 2)) (cbrt.f64 (.f64 a1 (*.f64 a1 1/2))))
(pow.f64 (.f64 a1 (.f64 a1 1/2)) 1)
(pow.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 a1 (.f64 a1 1/2))) 3)
(pow.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 3) 1/3)
(pow.f64 (/.f64 2 (*.f64 a1 a1)) -1)
(neg.f64 (/.f64 a1 (/.f64 -2 a1)))
(sqrt.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a1 (.f64 a1 1/2)))))
(cbrt.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 3))
(expm1.f64 (log1p.f64 (.f64 a1 (.f64 a1 1/2))))
(exp.f64 (log.f64 (.f64 a1 (.f64 a1 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 a1 (*.f64 a1 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 a1 (.f64 a1 1/2))))

Outputs
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(.f64 -1 (.f64 (sqrt.f64 1/2) a1))
(neg.f64 (*.f64 (sqrt.f64 1/2) a1))
(*.f64 (sqrt.f64 1/2) (neg.f64 a1))
(.f64 -1 (.f64 (sqrt.f64 1/2) a1))
(neg.f64 (*.f64 (sqrt.f64 1/2) a1))
(*.f64 (sqrt.f64 1/2) (neg.f64 a1))
(.f64 -1 (.f64 (sqrt.f64 1/2) a1))
(neg.f64 (*.f64 (sqrt.f64 1/2) a1))
(*.f64 (sqrt.f64 1/2) (neg.f64 a1))
(.f64 -1 (.f64 (sqrt.f64 1/2) a1))
(neg.f64 (*.f64 (sqrt.f64 1/2) a1))
(*.f64 (sqrt.f64 1/2) (neg.f64 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 -1 (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(neg.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (neg.f64 a1)))
(.f64 -1 (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(neg.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (neg.f64 a1)))
(.f64 -1 (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(neg.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (neg.f64 a1)))
(.f64 -1 (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(neg.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (neg.f64 a1)))
(*.f64 1/2 (pow.f64 a1 2))
(.f64 1/2 (.f64 a1 a1))
(*.f64 1/2 (pow.f64 a1 2))
(.f64 1/2 (.f64 a1 a1))
(*.f64 1/2 (pow.f64 a1 2))
(.f64 1/2 (.f64 a1 a1))
(*.f64 1/2 (pow.f64 a1 2))
(.f64 1/2 (.f64 a1 a1))
(*.f64 1/2 (pow.f64 a1 2))
(.f64 1/2 (.f64 a1 a1))
(*.f64 1/2 (pow.f64 a1 2))
(.f64 1/2 (.f64 a1 a1))
(*.f64 1/2 (pow.f64 a1 2))
(.f64 1/2 (.f64 a1 a1))
(*.f64 1/2 (pow.f64 a1 2))
(.f64 1/2 (.f64 a1 a1))
(*.f64 1/2 (pow.f64 a1 2))
(.f64 1/2 (.f64 a1 a1))
(*.f64 1/2 (pow.f64 a1 2))
(.f64 1/2 (.f64 a1 a1))
(*.f64 1/2 (pow.f64 a1 2))
(.f64 1/2 (.f64 a1 a1))
(*.f64 1/2 (pow.f64 a1 2))
(.f64 1/2 (.f64 a1 a1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))))) 1)
(sqrt.f64 (.f64 1/2 (.f64 a1 a1)))
(.f64 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))) 1)
(sqrt.f64 (.f64 1/2 (.f64 a1 a1)))
(.f64 1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))))
(sqrt.f64 (.f64 1/2 (.f64 a1 a1)))
(.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 1/4) (pow.f64 (.f64 a1 (*.f64 a1 1/2)) 1/4))
(sqrt.f64 (.f64 1/2 (.f64 a1 a1)))
(.f64 (sqrt.f64 a1) (sqrt.f64 (.f64 a1 1/2)))
(.f64 (sqrt.f64 a1) (sqrt.f64 (.f64 1/2 a1)))
(*.f64 (sqrt.f64 a1) (/.f64 1 (sqrt.f64 (/.f64 2 a1))))
(/.f64 (sqrt.f64 a1) (sqrt.f64 (/.f64 2 a1)))
(.f64 (sqrt.f64 a1) (pow.f64 (.f64 a1 1/2) 1/2))
(.f64 (sqrt.f64 a1) (sqrt.f64 (.f64 1/2 a1)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))) (cbrt.f64 (.f64 a1 (*.f64 a1 1/2))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 1/2 (.f64 a1 a1)))) (cbrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(.f64 (cbrt.f64 (.f64 a1 (.f64 a1 1/2))) (cbrt.f64 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 1/2 (.f64 a1 a1)))) (cbrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 a1 (.f64 a1 1/2))) 2)) (sqrt.f64 (cbrt.f64 (.f64 a1 (*.f64 a1 1/2)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 a1 a1))) 2)) (sqrt.f64 (cbrt.f64 (.f64 1/2 (*.f64 a1 a1)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 1/2 (.f64 a1 a1)))) (sqrt.f64 (cbrt.f64 (.f64 1/2 (*.f64 a1 a1)))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 a1 a1))) (sqrt.f64 (cbrt.f64 (.f64 1/2 (*.f64 a1 a1)))))
(.f64 (sqrt.f64 (.f64 a1 1/2)) (sqrt.f64 a1))
(.f64 (sqrt.f64 a1) (sqrt.f64 (.f64 1/2 a1)))
(.f64 (pow.f64 (.f64 a1 1/2) 1/2) (sqrt.f64 a1))
(.f64 (sqrt.f64 a1) (sqrt.f64 (.f64 1/2 a1)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))))
(sqrt.f64 (.f64 1/2 (.f64 a1 a1)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a1 (.f64 a1 1/2))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 a1 (*.f64 a1 1/2))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 a1 a1))) 2)) (sqrt.f64 (cbrt.f64 (.f64 1/2 (*.f64 a1 a1)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 1/2 (.f64 a1 a1)))) (sqrt.f64 (cbrt.f64 (.f64 1/2 (*.f64 a1 a1)))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 a1 a1))) (sqrt.f64 (cbrt.f64 (.f64 1/2 (*.f64 a1 a1)))))
(/.f64 1 (sqrt.f64 (/.f64 2 (*.f64 a1 a1))))
(/.f64 1 (/.f64 (sqrt.f64 (/.f64 2 a1)) (sqrt.f64 a1)))
(*.f64 (sqrt.f64 a1) (/.f64 1 (sqrt.f64 (/.f64 2 a1))))
(/.f64 (sqrt.f64 a1) (sqrt.f64 (/.f64 2 a1)))
(/.f64 (sqrt.f64 a1) (sqrt.f64 (/.f64 2 a1)))
(*.f64 (sqrt.f64 a1) (/.f64 1 (sqrt.f64 (/.f64 2 a1))))
(/.f64 (sqrt.f64 (neg.f64 a1)) (sqrt.f64 (/.f64 -2 a1)))
(/.f64 (neg.f64 (sqrt.f64 a1)) (neg.f64 (sqrt.f64 (/.f64 2 a1))))
(*.f64 (sqrt.f64 a1) (/.f64 1 (sqrt.f64 (/.f64 2 a1))))
(/.f64 (sqrt.f64 a1) (sqrt.f64 (/.f64 2 a1)))
(pow.f64 (.f64 a1 (.f64 a1 1/2)) 1/2)
(sqrt.f64 (.f64 1/2 (.f64 a1 a1)))
(pow.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))) 1)
(sqrt.f64 (.f64 1/2 (.f64 a1 a1)))
(pow.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 1/4) 2)
(sqrt.f64 (.f64 1/2 (.f64 a1 a1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))) 3)
(sqrt.f64 (.f64 1/2 (.f64 a1 a1)))
(pow.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 a1 a1)) 3/2))
(fabs.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))))
(sqrt.f64 (.f64 1/2 (.f64 a1 a1)))
(log.f64 (exp.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))))
(sqrt.f64 (.f64 1/2 (.f64 a1 a1)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))))))
(sqrt.f64 (.f64 1/2 (.f64 a1 a1)))
(cbrt.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 3/2))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 a1 a1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))))
(sqrt.f64 (.f64 1/2 (.f64 a1 a1)))
(exp.f64 (log.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))))
(sqrt.f64 (.f64 1/2 (.f64 a1 a1)))
(exp.f64 (.f64 (log.f64 (.f64 a1 (*.f64 a1 1/2))) 1/2))
(sqrt.f64 (.f64 1/2 (.f64 a1 a1)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2)))) 1))
(sqrt.f64 (.f64 1/2 (.f64 a1 a1)))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))))
(sqrt.f64 (.f64 1/2 (.f64 a1 a1)))
(-.f64 (exp.f64 (log1p.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2)))))) 1)
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(/.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 (/.f64 2 a1)))
(/.f64 a1 (/.f64 (sqrt.f64 (/.f64 2 a1)) (sqrt.f64 a1)))
(*.f64 a1 (/.f64 (sqrt.f64 a1) (sqrt.f64 (/.f64 2 a1))))
(/.f64 (*.f64 (sqrt.f64 a1) a1) (sqrt.f64 (/.f64 2 a1)))
(/.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 (/.f64 2 a1)))
(/.f64 a1 (/.f64 (sqrt.f64 (/.f64 2 a1)) (sqrt.f64 a1)))
(*.f64 a1 (/.f64 (sqrt.f64 a1) (sqrt.f64 (/.f64 2 a1))))
(pow.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2)))) 1)
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(pow.f64 (sqrt.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))))) 2)
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(pow.f64 (cbrt.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))))) 3)
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(pow.f64 (pow.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2)))) 3) 1/3)
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(sqrt.f64 (.f64 (.f64 a1 (.f64 a1 1/2)) (.f64 a1 a1)))
(sqrt.f64 (.f64 (.f64 a1 a1) (.f64 1/2 (.f64 a1 a1))))
(sqrt.f64 (.f64 (.f64 1/2 a1) (pow.f64 a1 3)))
(sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))
(log.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))))
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2)))))))
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(cbrt.f64 (pow.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2)))) 3))
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(expm1.f64 (log1p.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))))))
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(exp.f64 (log.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))))))
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(exp.f64 (.f64 (log.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))))) 1))
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(log1p.f64 (expm1.f64 (.f64 a1 (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))))))
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(-.f64 (exp.f64 (log1p.f64 (.f64 a1 (.f64 a1 1/2)))) 1)
(.f64 1/2 (.f64 a1 a1))
(.f64 a1 (.f64 a1 1/2))
(.f64 1/2 (.f64 a1 a1))
(.f64 (.f64 a1 (*.f64 a1 1/2)) 1)
(.f64 1/2 (.f64 a1 a1))
(.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))) (sqrt.f64 (.f64 a1 (*.f64 a1 1/2))))
(.f64 1/2 (.f64 a1 a1))
(.f64 1 (.f64 a1 (*.f64 a1 1/2)))
(.f64 1/2 (.f64 a1 a1))
(.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 1/4) (.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 1/4) (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))))
(.f64 1/2 (.f64 a1 a1))
(.f64 (sqrt.f64 a1) (.f64 (sqrt.f64 a1) (*.f64 a1 1/2)))
(.f64 1/2 (.f64 a1 a1))
(.f64 (cbrt.f64 (.f64 a1 (.f64 a1 1/2))) (pow.f64 (cbrt.f64 (.f64 a1 (*.f64 a1 1/2))) 2))
(.f64 1/2 (.f64 a1 a1))
(.f64 (cbrt.f64 (.f64 a1 (.f64 a1 1/2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))) (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 a1 a1))) (.f64 (sqrt.f64 (.f64 1/2 (.f64 a1 a1))) (cbrt.f64 (sqrt.f64 (.f64 1/2 (.f64 a1 a1))))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 a1 a1))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1)))) 4))
(.f64 (pow.f64 (cbrt.f64 (.f64 a1 (.f64 a1 1/2))) 2) (cbrt.f64 (.f64 a1 (*.f64 a1 1/2))))
(.f64 1/2 (.f64 a1 a1))
(.f64 (pow.f64 (cbrt.f64 a1) 2) (.f64 (cbrt.f64 a1) (*.f64 a1 1/2)))
(.f64 1/2 (.f64 a1 a1))
(.f64 (.f64 a1 1/2) a1)
(.f64 1/2 (.f64 a1 a1))
(*.f64 (neg.f64 a1) (/.f64 1 (/.f64 -2 a1)))
(.f64 1/2 (.f64 a1 a1))
(*.f64 1/2 (/.f64 a1 (/.f64 1 a1)))
(.f64 1/2 (.f64 a1 a1))
(.f64 (.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))) (pow.f64 (.f64 a1 (.f64 a1 1/2)) 1/4)) (pow.f64 (.f64 a1 (.f64 a1 1/2)) 1/4))
(.f64 1/2 (.f64 a1 a1))
(.f64 (.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))) (cbrt.f64 (.f64 a1 (.f64 a1 1/2)))) (cbrt.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2)))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 a1 a1))) (.f64 (sqrt.f64 (.f64 1/2 (.f64 a1 a1))) (cbrt.f64 (sqrt.f64 (.f64 1/2 (.f64 a1 a1))))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 a1 a1))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1)))) 4))
(.f64 (.f64 (*.f64 a1 1/2) 1) a1)
(.f64 1/2 (.f64 a1 a1))
(.f64 (.f64 (*.f64 a1 1/2) (sqrt.f64 a1)) (sqrt.f64 a1))
(.f64 1/2 (.f64 a1 a1))
(.f64 (.f64 (*.f64 a1 1/2) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1))
(.f64 1/2 (.f64 a1 a1))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 2 a1))) (/.f64 a1 (sqrt.f64 (/.f64 2 a1))))
(/.f64 (/.f64 a1 (sqrt.f64 (/.f64 2 a1))) (sqrt.f64 (/.f64 2 a1)))
(/.f64 a1 (*.f64 (sqrt.f64 (/.f64 2 a1)) (sqrt.f64 (/.f64 2 a1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 2 a1)) 2)) (/.f64 a1 (cbrt.f64 (/.f64 2 a1))))
(/.f64 (/.f64 a1 (cbrt.f64 (/.f64 2 a1))) (pow.f64 (cbrt.f64 (/.f64 2 a1)) 2))
(/.f64 a1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 2 a1)) 2) (cbrt.f64 (/.f64 2 a1))))
(.f64 (/.f64 a1 1) (.f64 a1 1/2))
(.f64 1/2 (.f64 a1 a1))
(*.f64 (/.f64 a1 -2) (neg.f64 a1))
(.f64 1/2 (.f64 a1 a1))
(*.f64 (/.f64 (sqrt.f64 a1) 2) (/.f64 (sqrt.f64 a1) (/.f64 1 a1)))
(.f64 1/2 (.f64 a1 a1))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (/.f64 2 a1)))
(.f64 1/2 (.f64 a1 a1))
(*.f64 (/.f64 (sqrt.f64 a1) (pow.f64 (cbrt.f64 (/.f64 2 a1)) 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (/.f64 2 a1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 2 a1)) 2)) (/.f64 a1 (cbrt.f64 (/.f64 2 a1))))
(/.f64 (/.f64 a1 (cbrt.f64 (/.f64 2 a1))) (pow.f64 (cbrt.f64 (/.f64 2 a1)) 2))
(/.f64 a1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 2 a1)) 2) (cbrt.f64 (/.f64 2 a1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 2) (/.f64 (cbrt.f64 a1) (/.f64 1 a1)))
(.f64 1/2 (.f64 a1 a1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (/.f64 2 a1)))
(.f64 1/2 (.f64 a1 a1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 (/.f64 2 a1))) (/.f64 (cbrt.f64 a1) (sqrt.f64 (/.f64 2 a1))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 2 a1))) (/.f64 a1 (sqrt.f64 (/.f64 2 a1))))
(/.f64 (/.f64 a1 (sqrt.f64 (/.f64 2 a1))) (sqrt.f64 (/.f64 2 a1)))
(/.f64 a1 (*.f64 (sqrt.f64 (/.f64 2 a1)) (sqrt.f64 (/.f64 2 a1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 (cbrt.f64 (/.f64 2 a1)) 2)) (cbrt.f64 (.f64 a1 (*.f64 a1 1/2))))
(.f64 (cbrt.f64 (.f64 1/2 (*.f64 a1 a1))) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 (cbrt.f64 (/.f64 2 a1)) 2)))
(/.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 a1)) 2) (cbrt.f64 (.f64 1/2 (.f64 a1 a1)))))
(pow.f64 (.f64 a1 (.f64 a1 1/2)) 1)
(.f64 1/2 (.f64 a1 a1))
(pow.f64 (sqrt.f64 (.f64 a1 (.f64 a1 1/2))) 2)
(.f64 1/2 (.f64 a1 a1))
(pow.f64 (cbrt.f64 (.f64 a1 (.f64 a1 1/2))) 3)
(.f64 1/2 (.f64 a1 a1))
(pow.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 2) 1/2)
(.f64 1/2 (.f64 a1 a1))
(pow.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 3) 1/3)
(.f64 1/2 (.f64 a1 a1))
(pow.f64 (/.f64 2 (*.f64 a1 a1)) -1)
(.f64 1/2 (.f64 a1 a1))
(neg.f64 (/.f64 a1 (/.f64 -2 a1)))
(.f64 1/2 (.f64 a1 a1))
(sqrt.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 2))
(.f64 1/2 (.f64 a1 a1))
(log.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 1/2)))
(.f64 1/2 (.f64 a1 a1))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a1 (.f64 a1 1/2)))))
(.f64 1/2 (.f64 a1 a1))
(cbrt.f64 (pow.f64 (.f64 a1 (.f64 a1 1/2)) 3))
(.f64 1/2 (.f64 a1 a1))
(expm1.f64 (log1p.f64 (.f64 a1 (.f64 a1 1/2))))
(.f64 1/2 (.f64 a1 a1))
(exp.f64 (log.f64 (.f64 a1 (.f64 a1 1/2))))
(.f64 1/2 (.f64 a1 a1))
(exp.f64 (.f64 (log.f64 (.f64 a1 (*.f64 a1 1/2))) 1))
(.f64 1/2 (.f64 a1 a1))
(log1p.f64 (expm1.f64 (.f64 a1 (.f64 a1 1/2))))
(.f64 1/2 (.f64 a1 a1))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 th) (*.f64 a2 th))))
✓	0.2b	(.f64 (.f64 a2 th) (*.f64 a2 th))
✓	0.3b	(/.f64 (sqrt.f64 2) (.f64 (.f64 a2 th) (*.f64 a2 th)))

Compiler

Compiled 41 to 17 computations (58.5% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`associate-*l/`
868×	`swap-sqr`
658×	`associate-/r/`
492×	`distribute-lft-neg-in`
454×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	257	65
2	3402	59

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (neg.f64 (neg.f64 (pow.f64 (*.f64 a2 th) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (pow.f64 (*.f64 a2 th) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (*.f64 a2 th)) (/.f64 (pow.f64 2 1/4) (*.f64 a2 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (*.f64 a2 th)) (neg.f64 (/.f64 (neg.f64 (pow.f64 2 1/4)) (*.f64 a2 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 (*.f64 a2 th) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2))) (cbrt.f64 (/.f64 2 (pow.f64 (*.f64 a2 th) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (pow.f64 (*.f64 a2 th) 4))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (pow.f64 (*.f64 a2 th) 4))) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 th)) (/.f64 1 (*.f64 a2 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a2 th) -2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (pow.f64 (*.f64 a2 th) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (*.f64 a2 th) -2)))) (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (*.f64 a2 th) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (*.f64 a2 th) -2)))) (cbrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (*.f64 a2 th) -2))))) (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (*.f64 a2 th) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) (*.f64 (*.f64 th th) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a2 th)) (/.f64 (sqrt.f64 2) (*.f64 a2 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 a2 th) 4))) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (*.f64 a2 th)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (*.f64 th th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a2 (*.f64 a2 th))) (/.f64 (sqrt.f64 2) th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (*.f64 a2 th) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (pow.f64 2 1/4)) (*.f64 a2 th)) (/.f64 (neg.f64 (pow.f64 2 1/4)) (*.f64 a2 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (/.f64 2 (pow.f64 (*.f64 a2 th) 4)))) (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (*.f64 a2 th) -2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) (*.f64 (*.f64 th th) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (pow.f64 (*.f64 a2 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) a2) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (*.f64 th th) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 (*.f64 a2 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (*.f64 a2 th) 2)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 (*.f64 a2 th) 4))) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (*.f64 a2 th)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (*.f64 a2 a2)) (/.f64 (pow.f64 2 1/4) (*.f64 th th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (*.f64 a2 (*.f64 a2 th))) (/.f64 (pow.f64 2 1/4) th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (*.f64 a2 th)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 (*.f64 a2 th) 4))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (*.f64 a2 a2)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 th th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (*.f64 a2 (*.f64 a2 th))) (/.f64 (cbrt.f64 (sqrt.f64 2)) th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (pow.f64 (*.f64 a2 th) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 1 (pow.f64 2 1/4)) (*.f64 a2 th))) (/.f64 (pow.f64 2 1/4) (*.f64 a2 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (*.f64 a2 th) 4))))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (pow.f64 (*.f64 a2 th) 2) (pow.f64 2 1/4))) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (pow.f64 (*.f64 a2 th) 2) (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (pow.f64 (*.f64 a2 th) 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (*.f64 a2 th) -2))))) (sqrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (*.f64 a2 th) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (*.f64 a2 th) -2)))) (cbrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (*.f64 a2 th) -2)))))) (cbrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (*.f64 a2 th) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (neg.f64 (pow.f64 2 1/4)) (*.f64 a2 th))) (/.f64 (pow.f64 2 1/4) (*.f64 a2 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 2 (pow.f64 (*.f64 a2 th) 4))))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 2 1/4) (*.f64 a2 th)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (*.f64 a2 th) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (*.f64 a2 th) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2 (pow.f64 (*.f64 a2 th) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (pow.f64 (*.f64 a2 th) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (pow.f64 (*.f64 a2 th) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a2 th) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 th) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 th) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a2 th)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 a2 th) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (*.f64 a2 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a2 th) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a2 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a2 th) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a2 th) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a2 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 a2 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 a2 th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a2 th) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a2 th) 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a2 th) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a2 th) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 -1/2 (sqrt.f64 2))) (*.f64 a2 th)) (*.f64 (sqrt.f64 (/.f64 -1/2 (sqrt.f64 2))) (*.f64 a2 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a2 th) 4)))) (cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a2 th) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a2 th) 4))) (cbrt.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a2 th) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 2)) (pow.f64 (*.f64 a2 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (pow.f64 (*.f64 a2 th) 2) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 2)) a2) (*.f64 (*.f64 th th) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 (*.f64 a2 th) (sqrt.f64 2))) (*.f64 a2 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 2)) (cbrt.f64 (pow.f64 (*.f64 a2 th) 4))) (pow.f64 (cbrt.f64 (*.f64 a2 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 th th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 a2 (*.f64 a2 th))) th)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 -1/2 (pow.f64 (*.f64 a2 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) (*.f64 a2 th)) (*.f64 (/.f64 -1/2 (pow.f64 2 1/4)) (*.f64 a2 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (*.f64 a2 th) 4)))) (*.f64 -1/2 (cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (pow.f64 2 1/4)) (/.f64 (pow.f64 (*.f64 a2 th) 2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (cbrt.f64 2)) (/.f64 (pow.f64 (*.f64 a2 th) 2) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1 (/.f64 (*.f64 a2 th) (sqrt.f64 2))) (*.f64 -1/2 (*.f64 a2 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 (*.f64 -1/2 (pow.f64 (*.f64 a2 th) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (neg.f64 (sqrt.f64 2))) (neg.f64 (pow.f64 (*.f64 a2 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 a2 th) 2) (neg.f64 (sqrt.f64 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) a2)) (*.f64 (*.f64 th th) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) 1)) (pow.f64 (*.f64 a2 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (*.f64 a2 th) 4)))) (pow.f64 (cbrt.f64 (*.f64 a2 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (*.f64 th th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 th)) a2)) th)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 th th) a2))) a2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 th)) (sqrt.f64 (*.f64 a2 th)))) (sqrt.f64 (*.f64 a2 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 th)) (pow.f64 (cbrt.f64 (*.f64 a2 th)) 2))) (cbrt.f64 (*.f64 a2 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) (*.f64 a2 (neg.f64 th)))) (*.f64 a2 (neg.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) 1) (pow.f64 (*.f64 a2 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) 1) (/.f64 (pow.f64 (*.f64 a2 th) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) (/.f64 1 a2)) (*.f64 (*.f64 th th) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) (/.f64 1 (*.f64 a2 th))) (*.f64 a2 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 a2 th) 4)))) (pow.f64 (cbrt.f64 (*.f64 a2 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) (/.f64 1 (*.f64 a2 a2))) (*.f64 th th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) (/.f64 1 (*.f64 a2 (*.f64 a2 th)))) th)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) -1) (neg.f64 (pow.f64 (*.f64 a2 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 (sqrt.f64 2) (*.f64 a2 (neg.f64 th)))) (*.f64 a2 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 2)) (neg.f64 (pow.f64 (*.f64 a2 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 -1/2 (pow.f64 2 1/4)) (*.f64 a2 th)) 1) (sqrt.f64 (/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 -1/2 (pow.f64 2 1/4)) (*.f64 a2 th)) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 a2 th) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 -1/2 (pow.f64 2 1/4)) 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(sqrt.f64 (/.f64 -1/2 (sqrt.f64 2))) (*.f64 a2 th)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a2 th) 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a2 th) 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 -1/2 (neg.f64 (sqrt.f64 2))) (pow.f64 (*.f64 a2 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a2 th) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a2 th) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a2 th) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a2 th) 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a2 th) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a2 th) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a2 th) 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a2 th) 4)))))))))

simplify109.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1114×	`distribute-rgt-in`
1102×	`distribute-lft-in`
678×	`associate-r`
594×	`distribute-lft-neg-in`
558×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	352	6989
1	965	5963
2	4187	5963

Stop Event

1×	node limit

Counts

215 → 194

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2)))) 1)
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(.f64 (sqrt.f64 2) (neg.f64 (neg.f64 (pow.f64 (.f64 a2 th) -2))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2)) 1)
(.f64 1 (.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (pow.f64 (*.f64 a2 th) -2)))
(.f64 (/.f64 (pow.f64 2 1/4) (.f64 a2 th)) (/.f64 (pow.f64 2 1/4) (*.f64 a2 th)))
(.f64 (/.f64 (pow.f64 2 1/4) (.f64 a2 th)) (neg.f64 (/.f64 (neg.f64 (pow.f64 2 1/4)) (*.f64 a2 th))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 (*.f64 a2 th) -2)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))) (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4))))
(.f64 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4))) (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))))
(.f64 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4))) (neg.f64 (neg.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))))))
(.f64 (/.f64 (sqrt.f64 2) (.f64 a2 th)) (/.f64 1 (*.f64 a2 th)))
(.f64 (pow.f64 (.f64 a2 th) -2) (sqrt.f64 2))
(.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (pow.f64 (.f64 a2 th) -2)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (.f64 a2 th) -2)))) (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (*.f64 a2 th) -2))))))
(.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (.f64 a2 th) -2)))) (cbrt.f64 (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (.f64 a2 th) -2))))) (neg.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (.f64 a2 th) -2))))))
(.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) (.f64 (*.f64 th th) a2)))
(.f64 (/.f64 1 (.f64 a2 th)) (/.f64 (sqrt.f64 2) (*.f64 a2 th)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (.f64 a2 th) 4))) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (*.f64 a2 th)) 2)))
(.f64 (/.f64 1 (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (*.f64 th th)))
(.f64 (/.f64 1 (.f64 a2 (*.f64 a2 th))) (/.f64 (sqrt.f64 2) th))
(.f64 -1 (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (*.f64 a2 th) -2))))
(.f64 (/.f64 (neg.f64 (pow.f64 2 1/4)) (.f64 a2 th)) (/.f64 (neg.f64 (pow.f64 2 1/4)) (*.f64 a2 th)))
(.f64 (neg.f64 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4)))) (neg.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2)))))
(.f64 (neg.f64 (pow.f64 (.f64 a2 th) -2)) (neg.f64 (sqrt.f64 2)))
(.f64 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) (.f64 (*.f64 th th) a2)))
(.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (pow.f64 (.f64 a2 th) 2)))
(.f64 (/.f64 (cbrt.f64 2) a2) (/.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (*.f64 th th) a2)))
(.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 (.f64 a2 th) 2)))
(.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (.f64 a2 th) 2)) (pow.f64 2 1/4))
(.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 (.f64 a2 th) 4))) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (*.f64 a2 th)) 2)))
(.f64 (/.f64 (pow.f64 2 1/4) (.f64 a2 a2)) (/.f64 (pow.f64 2 1/4) (*.f64 th th)))
(.f64 (/.f64 (pow.f64 2 1/4) (.f64 a2 (*.f64 a2 th))) (/.f64 (pow.f64 2 1/4) th))
(.f64 (/.f64 (cbrt.f64 2) (.f64 a2 th)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 th)))
(.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 (.f64 a2 th) 4))) (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))))
(.f64 (/.f64 (cbrt.f64 2) (.f64 a2 a2)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 th th)))
(.f64 (/.f64 (cbrt.f64 2) (.f64 a2 (*.f64 a2 th))) (/.f64 (cbrt.f64 (sqrt.f64 2)) th))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (pow.f64 (.f64 a2 th) -2))
(.f64 (/.f64 1 (.f64 (/.f64 1 (pow.f64 2 1/4)) (.f64 a2 th))) (/.f64 (pow.f64 2 1/4) (.f64 a2 th)))
(.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4))))) (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))))
(.f64 (/.f64 1 (/.f64 (pow.f64 (.f64 a2 th) 2) (pow.f64 2 1/4))) (pow.f64 2 1/4))
(.f64 (/.f64 1 (/.f64 (pow.f64 (.f64 a2 th) 2) (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 2) (pow.f64 (.f64 a2 th) 2)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (.f64 a2 th) -2))))) (sqrt.f64 (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (*.f64 a2 th) -2)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (.f64 a2 th) -2)))) (cbrt.f64 (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (.f64 a2 th) -2)))))) (cbrt.f64 (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (.f64 a2 th) -2)))))
(.f64 (neg.f64 (/.f64 (neg.f64 (pow.f64 2 1/4)) (.f64 a2 th))) (/.f64 (pow.f64 2 1/4) (*.f64 a2 th)))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4))))) (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))))
(pow.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2)) 1)
(pow.f64 (/.f64 (pow.f64 2 1/4) (*.f64 a2 th)) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2)) -1)
(neg.f64 (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (.f64 a2 th) -2))))
(neg.f64 (/.f64 (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (.f64 a2 th) -2))) 1))
(sqrt.f64 (/.f64 2 (pow.f64 (*.f64 a2 th) 4)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (pow.f64 (*.f64 a2 th) -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2)) 3))
(cbrt.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (pow.f64 (.f64 a2 th) 2) 3)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a2 th) 2))) 1)
(pow.f64 (*.f64 a2 th) 2)
(pow.f64 (pow.f64 (*.f64 a2 th) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a2 th)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a2 th) 2) 3) 1/3)
(neg.f64 (neg.f64 (pow.f64 (*.f64 a2 th) 2)))
(sqrt.f64 (pow.f64 (*.f64 a2 th) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 a2 th) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a2 th) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a2 th) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a2 th) 2)))
(exp.f64 (.f64 2 (log.f64 (.f64 a2 th))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 a2 th))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a2 th) 2)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4))))) 1)
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (*.f64 a2 th) 4))) 1)
(.f64 1 (sqrt.f64 (.f64 1/8 (pow.f64 (*.f64 a2 th) 4))))
(.f64 (.f64 (sqrt.f64 (/.f64 -1/2 (sqrt.f64 2))) (.f64 a2 th)) (.f64 (sqrt.f64 (/.f64 -1/2 (sqrt.f64 2))) (*.f64 a2 th)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4)))) (cbrt.f64 (.f64 1/8 (pow.f64 (*.f64 a2 th) 4))))
(.f64 (cbrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4))) (cbrt.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (*.f64 a2 th) 4)))))
(.f64 (/.f64 -1/2 (sqrt.f64 2)) (pow.f64 (.f64 a2 th) 2))
(.f64 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)) -1/2)
(.f64 1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) a2) (.f64 (.f64 th th) a2))
(.f64 (.f64 -1/2 (/.f64 (.f64 a2 th) (sqrt.f64 2))) (.f64 a2 th))
(.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (cbrt.f64 (pow.f64 (.f64 a2 th) 4))) (pow.f64 (cbrt.f64 (.f64 a2 th)) 2))
(.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 th th))
(.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a2 (.f64 a2 th))) th)
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 -1/2 (pow.f64 (*.f64 a2 th) 2)))
(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (.f64 a2 th)) (.f64 (/.f64 -1/2 (pow.f64 2 1/4)) (*.f64 a2 th)))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4)))) (.f64 -1/2 (cbrt.f64 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))))
(.f64 (/.f64 -1/2 (pow.f64 2 1/4)) (/.f64 (pow.f64 (.f64 a2 th) 2) (pow.f64 2 1/4)))
(.f64 (/.f64 -1/2 (cbrt.f64 2)) (/.f64 (pow.f64 (.f64 a2 th) 2) (cbrt.f64 (sqrt.f64 2))))
(.f64 (.f64 1 (/.f64 (.f64 a2 th) (sqrt.f64 2))) (.f64 -1/2 (*.f64 a2 th)))
(.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 (.f64 -1/2 (pow.f64 (*.f64 a2 th) 2))))
(.f64 (/.f64 -1/2 (neg.f64 (sqrt.f64 2))) (neg.f64 (pow.f64 (.f64 a2 th) 2)))
(.f64 (/.f64 (pow.f64 (.f64 a2 th) 2) (neg.f64 (sqrt.f64 2))) 1/2)
(.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) a2)) (.f64 (*.f64 th th) a2))
(.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) 1)) (pow.f64 (.f64 a2 th) 2))
(.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (.f64 a2 th) 4)))) (pow.f64 (cbrt.f64 (*.f64 a2 th)) 2))
(.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (*.f64 th th))
(.f64 (/.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 th)) a2)) th)
(.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 (*.f64 th th) a2))) a2)
(.f64 (/.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 th)) (sqrt.f64 (.f64 a2 th)))) (sqrt.f64 (.f64 a2 th)))
(.f64 (/.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 th)) (pow.f64 (cbrt.f64 (.f64 a2 th)) 2))) (cbrt.f64 (.f64 a2 th)))
(.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 a2 (neg.f64 th)))) (*.f64 a2 (neg.f64 th)))
(.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) 1) (pow.f64 (.f64 a2 th) 2))
(.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) 1) (/.f64 (pow.f64 (.f64 a2 th) 2) 1))
(.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) (/.f64 1 a2)) (.f64 (*.f64 th th) a2))
(.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) (/.f64 1 (.f64 a2 th))) (*.f64 a2 th))
(.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 a2 th) 4)))) (pow.f64 (cbrt.f64 (*.f64 a2 th)) 2))
(.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) (/.f64 1 (.f64 a2 a2))) (*.f64 th th))
(.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) (/.f64 1 (.f64 a2 (*.f64 a2 th)))) th)
(.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) -1) (neg.f64 (pow.f64 (.f64 a2 th) 2)))
(.f64 (/.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 a2 (neg.f64 th)))) (*.f64 a2 th))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (neg.f64 (pow.f64 (.f64 a2 th) 2)))
(.f64 (/.f64 (.f64 (/.f64 -1/2 (pow.f64 2 1/4)) (.f64 a2 th)) 1) (sqrt.f64 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))))
(.f64 (/.f64 (.f64 (/.f64 -1/2 (pow.f64 2 1/4)) (.f64 a2 th)) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (pow.f64 (.f64 a2 th) 2))))
(.f64 (/.f64 (.f64 (/.f64 -1/2 (pow.f64 2 1/4)) (.f64 a2 th)) (sqrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 th)))) (sqrt.f64 (*.f64 a2 th)))
(.f64 (/.f64 (/.f64 -1/2 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4)))) 1) (cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 -1/2 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4)))) (cbrt.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (*.f64 a2 th)) 2))
(.f64 (/.f64 (/.f64 -1/2 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4)))) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 a2 th) 2))))
(.f64 (/.f64 (/.f64 -1/2 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4)))) (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 th)))) (cbrt.f64 (.f64 a2 th)))
(pow.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4))) 1)
(pow.f64 (.f64 (sqrt.f64 (/.f64 -1/2 (sqrt.f64 2))) (.f64 a2 th)) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4))) 3) 1/3)
(pow.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2)) -2) -1)
(neg.f64 (.f64 (/.f64 -1/2 (neg.f64 (sqrt.f64 2))) (pow.f64 (.f64 a2 th) 2)))
(sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4)))
(log.f64 (exp.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4)))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (*.f64 a2 th) 4)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4)))))

Outputs
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 a2 th) -2))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 2) (pow.f64 a2 2)))
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(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (/.f64 (pow.f64 (.f64 a2 th) 2) (neg.f64 (sqrt.f64 2))) 1/2)
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) a2)) (.f64 (*.f64 th th) a2))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) 1)) (pow.f64 (.f64 a2 th) 2))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (.f64 a2 th) 4)))) (pow.f64 (cbrt.f64 (*.f64 a2 th)) 2))
(.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 th) 4)) (pow.f64 (cbrt.f64 (.f64 a2 th)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a2 th) 4)) (.f64 (pow.f64 (cbrt.f64 (.f64 a2 th)) 2) (/.f64 -1/2 (sqrt.f64 2))))
(.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (*.f64 th th))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (/.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 th)) a2)) th)
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 (*.f64 th th) a2))) a2)
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (/.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 th)) (sqrt.f64 (.f64 a2 th)))) (sqrt.f64 (.f64 a2 th)))
(/.f64 (.f64 -1/2 (sqrt.f64 (.f64 a2 th))) (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 a2 th)) (*.f64 a2 th))))
(.f64 (/.f64 (.f64 a2 th) (/.f64 (sqrt.f64 2) -1/2)) (.f64 (sqrt.f64 (.f64 a2 th)) (sqrt.f64 (*.f64 a2 th))))
(.f64 (/.f64 (.f64 a2 (.f64 th -1/2)) (sqrt.f64 2)) (.f64 (sqrt.f64 (.f64 a2 th)) (sqrt.f64 (.f64 a2 th))))
(.f64 (/.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 th)) (pow.f64 (cbrt.f64 (.f64 a2 th)) 2))) (cbrt.f64 (.f64 a2 th)))
(/.f64 (.f64 -1/2 (cbrt.f64 (.f64 a2 th))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 (cbrt.f64 (.f64 a2 th)) 2) (*.f64 a2 th))))
(.f64 (cbrt.f64 (.f64 a2 th)) (.f64 (pow.f64 (cbrt.f64 (.f64 a2 th)) 2) (/.f64 (*.f64 a2 th) (/.f64 (sqrt.f64 2) -1/2))))
(.f64 (/.f64 (.f64 a2 (.f64 th -1/2)) (sqrt.f64 2)) (.f64 (pow.f64 (cbrt.f64 (.f64 a2 th)) 2) (cbrt.f64 (.f64 a2 th))))
(.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 a2 (neg.f64 th)))) (*.f64 a2 (neg.f64 th)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) 1) (pow.f64 (.f64 a2 th) 2))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) 1) (/.f64 (pow.f64 (.f64 a2 th) 2) 1))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) (/.f64 1 a2)) (.f64 (*.f64 th th) a2))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) (/.f64 1 (.f64 a2 th))) (*.f64 a2 th))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 a2 th) 4)))) (pow.f64 (cbrt.f64 (*.f64 a2 th)) 2))
(.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 (cbrt.f64 (pow.f64 (.f64 a2 th) 4)) (pow.f64 (cbrt.f64 (.f64 a2 th)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a2 th) 4)) (.f64 (pow.f64 (cbrt.f64 (.f64 a2 th)) 2) (/.f64 -1/2 (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) (/.f64 1 (.f64 a2 a2))) (*.f64 th th))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) (/.f64 1 (.f64 a2 (*.f64 a2 th)))) th)
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 2)) -1) (neg.f64 (pow.f64 (.f64 a2 th) 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (/.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 a2 (neg.f64 th)))) (*.f64 a2 th))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (/.f64 1/2 (sqrt.f64 2)) (neg.f64 (pow.f64 (.f64 a2 th) 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(.f64 (/.f64 (.f64 (/.f64 -1/2 (pow.f64 2 1/4)) (.f64 a2 th)) 1) (sqrt.f64 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))))
(.f64 (/.f64 (.f64 (.f64 -1/2 a2) th) (pow.f64 2 1/4)) (sqrt.f64 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))))
(.f64 (.f64 th (/.f64 (.f64 a2 -1/2) (pow.f64 2 1/4))) (sqrt.f64 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))))
(.f64 (/.f64 -1/2 (pow.f64 2 1/4)) (.f64 (.f64 a2 th) (sqrt.f64 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))))
(.f64 (/.f64 (.f64 (/.f64 -1/2 (pow.f64 2 1/4)) (.f64 a2 th)) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (pow.f64 (.f64 a2 th) 2))))
(.f64 (/.f64 (/.f64 -1/2 (pow.f64 2 1/4)) (/.f64 (sqrt.f64 (neg.f64 (sqrt.f64 2))) (.f64 a2 th))) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 a2 th) 2))))
(.f64 (.f64 (/.f64 (/.f64 -1/2 (pow.f64 2 1/4)) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (.f64 a2 th)) (sqrt.f64 (neg.f64 (pow.f64 (.f64 a2 th) 2))))
(.f64 (/.f64 (.f64 (/.f64 -1/2 (pow.f64 2 1/4)) (.f64 a2 th)) (sqrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 th)))) (sqrt.f64 (*.f64 a2 th)))
(/.f64 (.f64 (/.f64 (.f64 (.f64 -1/2 a2) th) (pow.f64 2 1/4)) (sqrt.f64 (.f64 a2 th))) (sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 th))))
(.f64 (sqrt.f64 (.f64 a2 th)) (/.f64 (.f64 th (/.f64 (.f64 a2 -1/2) (pow.f64 2 1/4))) (sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 th)))))
(/.f64 (.f64 a2 (.f64 th (/.f64 -1/2 (pow.f64 2 1/4)))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 th))) (sqrt.f64 (.f64 a2 th))))
(.f64 (/.f64 (/.f64 -1/2 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4)))) 1) (cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 th) 2) (sqrt.f64 2))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4)))) (.f64 -1/2 (cbrt.f64 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2))) (/.f64 -1/2 (cbrt.f64 (/.f64 2 (pow.f64 (*.f64 a2 th) 4)))))
(.f64 (/.f64 (/.f64 -1/2 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4)))) (cbrt.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (*.f64 a2 th)) 2))
(/.f64 (.f64 (/.f64 -1/2 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4)))) (pow.f64 (cbrt.f64 (*.f64 a2 th)) 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a2 th)) 2) (/.f64 -1/2 (cbrt.f64 (/.f64 2 (pow.f64 (*.f64 a2 th) 4))))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 (.f64 a2 th)) 2)) (cbrt.f64 (/.f64 2 (pow.f64 (*.f64 a2 th) 4)))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 -1/2 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4)))) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 a2 th) 2))))
(.f64 (/.f64 -1/2 (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4))))) (cbrt.f64 (neg.f64 (pow.f64 (.f64 a2 th) 2))))
(.f64 (/.f64 -1/2 (.f64 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))) (cbrt.f64 (neg.f64 (pow.f64 (.f64 a2 th) 2))))
(.f64 (/.f64 (/.f64 -1/2 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4)))) (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 th)))) (cbrt.f64 (.f64 a2 th)))
(.f64 (cbrt.f64 (.f64 a2 th)) (/.f64 -1/2 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 th))) (cbrt.f64 (/.f64 2 (pow.f64 (*.f64 a2 th) 4))))))
(.f64 (cbrt.f64 (.f64 a2 th)) (/.f64 (/.f64 -1/2 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4)))) (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 th)))))
(/.f64 (/.f64 -1/2 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a2 th) 4)))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a2 th))) (cbrt.f64 (*.f64 a2 th))))
(pow.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4))) 1)
(sqrt.f64 (.f64 (pow.f64 (.f64 a2 th) 4) 1/8))
(pow.f64 (.f64 (sqrt.f64 (/.f64 -1/2 (sqrt.f64 2))) (.f64 a2 th)) 2)
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4)))) 3)
(sqrt.f64 (.f64 (pow.f64 (.f64 a2 th) 4) 1/8))
(pow.f64 (pow.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4))) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (.f64 a2 th) 4) 1/8))
(pow.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (*.f64 a2 th) -2)) -2) -1)
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(neg.f64 (.f64 (/.f64 -1/2 (neg.f64 (sqrt.f64 2))) (pow.f64 (.f64 a2 th) 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 a2 th) 2) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 a2 th) 2) (sqrt.f64 2)))
(sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4)))
(sqrt.f64 (.f64 (pow.f64 (.f64 a2 th) 4) 1/8))
(log.f64 (exp.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 a2 th) 4) 1/8))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4))))))
(sqrt.f64 (.f64 (pow.f64 (.f64 a2 th) 4) 1/8))
(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4))) 3))
(sqrt.f64 (.f64 (pow.f64 (.f64 a2 th) 4) 1/8))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 a2 th) 4) 1/8))
(exp.f64 (log.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 a2 th) 4) 1/8))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (*.f64 a2 th) 4)))) 1))
(sqrt.f64 (.f64 (pow.f64 (.f64 a2 th) 4) 1/8))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 1/8 (pow.f64 (.f64 a2 th) 4)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 a2 th) 4) 1/8))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (cos.f64 th) a1) a1)
✓	0.1b	(*.f64 (cos.f64 th) a1)
✓	0.4b	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 (cos.f64 th) a1) a1))

Compiler

Compiled 29 to 12 computations (58.6% saved)

series11.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	th	@	-inf	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 (cos.f64 th) a1) a1))
2.0ms	th	@	inf	(*.f64 (cos.f64 th) a1)
0.0ms	a1	@	inf	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 (cos.f64 th) a1) a1))
0.0ms	th	@	0	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 (cos.f64 th) a1) a1))
0.0ms	th	@	inf	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 (cos.f64 th) a1) a1))

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1024×	`*-commutative`
992×	`cbrt-prod`
898×	`sqrt-prod`
826×	`unswap-sqr`
638×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	217	55
2	2536	55

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 th) a1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) a1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) a1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 th) a1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 th) a1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (cos.f64 th) a1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) a1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 th) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) (*.f64 (cos.f64 th) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))))))

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1320×	`associate-/r/`
1060×	`fma-def`
1000×	`unswap-sqr`
726×	`*-commutative`
482×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	3023
1	475	2947
2	1672	2847
3	6288	2813

Stop Event

1×	node limit

Counts

123 → 118

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 6)))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
a1
(+.f64 a1 (.f64 -1/2 (.f64 a1 (pow.f64 th 2))))
(+.f64 a1 (+.f64 (.f64 -1/2 (.f64 a1 (pow.f64 th 2))) (.f64 1/24 (.f64 a1 (pow.f64 th 4)))))
(+.f64 a1 (+.f64 (.f64 -1/720 (.f64 a1 (pow.f64 th 6))) (+.f64 (.f64 -1/2 (.f64 a1 (pow.f64 th 2))) (.f64 1/24 (.f64 a1 (pow.f64 th 4))))))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(pow.f64 a1 2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (pow.f64 a1 2) (.f64 1/24 (.f64 (pow.f64 a1 2) (pow.f64 th 4)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 a1 2) (pow.f64 th 6))) (+.f64 (pow.f64 a1 2) (.f64 1/24 (.f64 (pow.f64 a1 2) (pow.f64 th 4))))))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))) (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))) (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))) 1))))
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))) 3)
(pow.f64 (.f64 1/2 (pow.f64 (.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) 1/2)
(pow.f64 (.f64 (sqrt.f64 1/8) (pow.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) 3)) 1/3)
(sqrt.f64 (.f64 1/2 (pow.f64 (.f64 a1 (sqrt.f64 (cos.f64 th))) 4)))
(fabs.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (.f64 (cos.f64 th) (.f64 a1 a1))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))))
(cbrt.f64 (.f64 (sqrt.f64 1/8) (pow.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) 3)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) a1))) (exp.f64 (log1p.f64 (.f64 (cos.f64 th) a1)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) a1))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) a1))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) a1))) (exp.f64 (log1p.f64 (.f64 (cos.f64 th) a1)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) a1))) 1))))
(pow.f64 (*.f64 (cos.f64 th) a1) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) a1)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) a1)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) a1) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) a1) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) a1) 2))
(fabs.f64 (*.f64 (cos.f64 th) a1))
(log.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) a1))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) a1) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a1)))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) a1)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a1)))
(+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))) (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))) (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))) 1))))
(pow.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) 1)
(pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a1 a1))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 1/2)
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4))
(fabs.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))
(log.f64 (pow.f64 (exp.f64 a1) (*.f64 (cos.f64 th) a1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) 3))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1))))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 a1 a1))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 a1 a1))))

Outputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (.f64 th th))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (.f64 a1 a1) (.f64 (.f64 a1 (.f64 a1 (.f64 th th))) (.f64 (sqrt.f64 1/2) -1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (*.f64 a1 a1)))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (pow.f64 th 4))) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (.f64 th th))) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 1/24 (.f64 (.f64 a1 a1) (.f64 (pow.f64 th 4) (sqrt.f64 1/2))) (fma.f64 (sqrt.f64 1/2) (.f64 a1 a1) (.f64 (.f64 a1 (.f64 a1 (.f64 th th))) (*.f64 (sqrt.f64 1/2) -1/2))))
(fma.f64 (sqrt.f64 1/2) (.f64 a1 a1) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (+.f64 (.f64 -1/2 (.f64 th th)) (*.f64 1/24 (pow.f64 th 4))))))
(.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (+.f64 (.f64 -1/2 (.f64 th th)) (+.f64 1 (.f64 1/24 (pow.f64 th 4))))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (pow.f64 th 6)))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))))
(fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (pow.f64 th 4))) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (.f64 th th))) (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (pow.f64 th 6))) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))))
(fma.f64 1/24 (.f64 (.f64 a1 a1) (.f64 (pow.f64 th 4) (sqrt.f64 1/2))) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 a1 (.f64 a1 (.f64 th th)))) (fma.f64 (sqrt.f64 1/2) (.f64 a1 a1) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (.f64 (pow.f64 th 6) -1/720))))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (+.f64 (.f64 -1/2 (.f64 th th)) (.f64 -1/720 (pow.f64 th 6))))) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 1/24 (pow.f64 th 4)) 1) (.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/720 (pow.f64 th 6))) (.f64 -1/2 (.f64 th th))))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
a1
(+.f64 a1 (.f64 -1/2 (.f64 a1 (pow.f64 th 2))))
(+.f64 a1 (.f64 (.f64 -1/2 a1) (*.f64 th th)))
(fma.f64 -1/2 (.f64 a1 (.f64 th th)) a1)
(fma.f64 -1/2 (.f64 th (.f64 a1 th)) a1)
(+.f64 a1 (+.f64 (.f64 -1/2 (.f64 a1 (pow.f64 th 2))) (.f64 1/24 (.f64 a1 (pow.f64 th 4)))))
(+.f64 a1 (fma.f64 -1/2 (.f64 a1 (.f64 th th)) (.f64 (.f64 1/24 a1) (pow.f64 th 4))))
(+.f64 a1 (fma.f64 (.f64 a1 1/24) (pow.f64 th 4) (.f64 (.f64 th th) (.f64 a1 -1/2))))
(fma.f64 a1 (.f64 1/24 (pow.f64 th 4)) (fma.f64 -1/2 (.f64 th (*.f64 a1 th)) a1))
(+.f64 a1 (+.f64 (.f64 -1/720 (.f64 a1 (pow.f64 th 6))) (+.f64 (.f64 -1/2 (.f64 a1 (pow.f64 th 2))) (.f64 1/24 (.f64 a1 (pow.f64 th 4))))))
(+.f64 a1 (fma.f64 -1/720 (.f64 a1 (pow.f64 th 6)) (fma.f64 -1/2 (.f64 a1 (.f64 th th)) (.f64 (*.f64 1/24 a1) (pow.f64 th 4)))))
(+.f64 a1 (fma.f64 -1/720 (.f64 a1 (pow.f64 th 6)) (fma.f64 (.f64 a1 1/24) (pow.f64 th 4) (.f64 (.f64 th th) (*.f64 a1 -1/2)))))
(fma.f64 a1 (.f64 -1/720 (pow.f64 th 6)) (fma.f64 a1 (.f64 1/24 (pow.f64 th 4)) (fma.f64 -1/2 (.f64 th (.f64 a1 th)) a1)))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(fma.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th)) (.f64 a1 a1))
(fma.f64 -1/2 (.f64 a1 (.f64 a1 (.f64 th th))) (.f64 a1 a1))
(.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a1 a1))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (pow.f64 a1 2) (.f64 1/24 (.f64 (pow.f64 a1 2) (pow.f64 th 4)))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th)) (.f64 a1 a1)) (.f64 1/24 (.f64 (*.f64 a1 a1) (pow.f64 th 4))))
(fma.f64 -1/2 (.f64 a1 (.f64 a1 (.f64 th th))) (fma.f64 a1 a1 (.f64 (pow.f64 th 4) (.f64 (.f64 a1 1/24) a1))))
(fma.f64 a1 a1 (.f64 (.f64 a1 a1) (+.f64 (.f64 -1/2 (.f64 th th)) (*.f64 1/24 (pow.f64 th 4)))))
(.f64 (.f64 a1 a1) (+.f64 (.f64 -1/2 (.f64 th th)) (+.f64 1 (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 a1 2) (pow.f64 th 6))) (+.f64 (pow.f64 a1 2) (.f64 1/24 (.f64 (pow.f64 a1 2) (pow.f64 th 4))))))
(fma.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th)) (fma.f64 -1/720 (.f64 (.f64 a1 a1) (pow.f64 th 6)) (+.f64 (.f64 a1 a1) (.f64 1/24 (.f64 (*.f64 a1 a1) (pow.f64 th 4))))))
(fma.f64 -1/2 (.f64 a1 (.f64 a1 (.f64 th th))) (fma.f64 -1/720 (.f64 (.f64 a1 a1) (pow.f64 th 6)) (fma.f64 a1 a1 (.f64 (pow.f64 th 4) (.f64 (.f64 a1 1/24) a1)))))
(fma.f64 (.f64 a1 a1) (.f64 -1/2 (.f64 th th)) (fma.f64 a1 a1 (.f64 (.f64 a1 a1) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 1/24 (pow.f64 th 4))))))
(+.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/720 (pow.f64 th 6))) (.f64 -1/2 (*.f64 th th)))))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))) -1)
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))) 1)
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))) (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))) 1))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))) (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (cos.f64 th)))) 3) -1) (fma.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (cos.f64 th)))) (exp.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (cos.f64 th)))) (+.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (cos.f64 th)))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 (.f64 a1 (cos.f64 th)))))) 3)) (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 (.f64 a1 (cos.f64 th)))))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 (.f64 a1 (cos.f64 th))))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th)))))) (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a1 a1) (cos.f64 th))))))))
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))) 1)
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) 2)
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))) 3)
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(pow.f64 (.f64 1/2 (pow.f64 (.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) 1/2)
(sqrt.f64 (.f64 1/2 (pow.f64 (.f64 a1 (sqrt.f64 (cos.f64 th))) 4)))
(pow.f64 (.f64 (sqrt.f64 1/8) (pow.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) 3)) 1/3)
(cbrt.f64 (.f64 (sqrt.f64 1/8) (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 3)))
(cbrt.f64 (.f64 (sqrt.f64 1/8) (pow.f64 (.f64 a1 (*.f64 a1 (cos.f64 th))) 3)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 3) (.f64 (sqrt.f64 1/8) (pow.f64 a1 6))))
(sqrt.f64 (.f64 1/2 (pow.f64 (.f64 a1 (sqrt.f64 (cos.f64 th))) 4)))
(fabs.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (.f64 (cos.f64 th) (.f64 a1 a1))))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(cbrt.f64 (.f64 (sqrt.f64 1/8) (pow.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) 3)))
(cbrt.f64 (.f64 (sqrt.f64 1/8) (pow.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) 3)))
(cbrt.f64 (.f64 (sqrt.f64 1/8) (pow.f64 (.f64 a1 (*.f64 a1 (cos.f64 th))) 3)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 3) (.f64 (sqrt.f64 1/8) (pow.f64 a1 6))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) -1)
(*.f64 a1 (cos.f64 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) 1)
(*.f64 a1 (cos.f64 th))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) a1))) (exp.f64 (log1p.f64 (.f64 (cos.f64 th) a1)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) a1))) 1))
(*.f64 a1 (cos.f64 th))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) a1))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) a1))) (exp.f64 (log1p.f64 (.f64 (cos.f64 th) a1)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) a1))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 a1 (cos.f64 th)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 a1 (cos.f64 th))) (log1p.f64 (.f64 a1 (cos.f64 th))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 a1 (cos.f64 th)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 a1 (cos.f64 th)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 a1 (cos.f64 th)))) (exp.f64 (.f64 2 (log1p.f64 (.f64 a1 (cos.f64 th))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 a1 (cos.f64 th))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 a1 (cos.f64 th)))) (pow.f64 (exp.f64 2) (log1p.f64 (.f64 a1 (cos.f64 th)))))))
(pow.f64 (*.f64 (cos.f64 th) a1) 1)
(*.f64 a1 (cos.f64 th))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) a1)) 2)
(*.f64 a1 (cos.f64 th))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) a1)) 3)
(*.f64 a1 (cos.f64 th))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) a1) 2) 1/2)
(*.f64 a1 (cos.f64 th))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) a1) 3) 1/3)
(*.f64 a1 (cos.f64 th))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) a1) 2))
(*.f64 a1 (cos.f64 th))
(fabs.f64 (*.f64 (cos.f64 th) a1))
(*.f64 a1 (cos.f64 th))
(log.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))
(*.f64 a1 (cos.f64 th))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) a1))))
(*.f64 a1 (cos.f64 th))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) a1) 3))
(*.f64 a1 (cos.f64 th))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a1)))
(*.f64 a1 (cos.f64 th))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) a1)))
(*.f64 a1 (cos.f64 th))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a1)))
(*.f64 a1 (cos.f64 th))
(+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))) -1)
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))) 1)
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))) (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)))) 1))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))) (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a1 a1) (cos.f64 th)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (log1p.f64 (.f64 (.f64 a1 a1) (cos.f64 th))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 (.f64 a1 a1) (cos.f64 th)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 a1 (.f64 a1 (cos.f64 th))))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 a1 (.f64 a1 (cos.f64 th))))) (exp.f64 (.f64 2 (log1p.f64 (.f64 a1 (*.f64 a1 (cos.f64 th)))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 (.f64 a1 a1) (cos.f64 th))))) (+.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a1 a1) (cos.f64 th)))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)))))))
(pow.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) 1)
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 2)
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a1 a1))) 3)
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 1/2)
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) 3) 1/3)
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(sqrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(fabs.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 a1) (*.f64 (cos.f64 th) a1)))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 th) (.f64 a1 a1)))))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) 3))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 a1 a1))))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 a1 a1))))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 a1 a1))))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 a1 (.f64 a1 (cos.f64 th)))

eval570.0ms (4.1%)

Compiler: Compiled 14406 to 8754 computations (39.2% saved)

prune193.0ms (1.4%)

Pruning

37 alts after pruning (25 fresh and 12 done)

	Pruned	Kept	Total
New	751	11	762
Fresh	6	14	20
Picked	0	1	1
Done	1	11	12
Total	758	37	795

Error

Counts

795 → 37

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓	25.8b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
✓	45.6b	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
✓	29.9b	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	41.6b	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	25.6b	(/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 2))
✓	39.2b	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	30.2b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	41.6b	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	39.2b	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	41.9b	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	39.2b	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
✓	59.2b	(/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 th) (*.f64 a2 th))))
	25.8b	(+.f64 (.f64 (pow.f64 2 -1/2) (.f64 a2 a2)) (.f64 (pow.f64 2 -1/2) (.f64 a1 a1)))
	39.3b	(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
✓	29.9b	(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
✓	41.7b	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
✓	39.2b	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	54.5b	(.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (.f64 a1 a1)))) a1)
	39.2b	(.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 a1 (neg.f64 a1)))
	41.6b	(.f64 (.f64 (pow.f64 2 -1/2) a2) a2)
	31.1b	(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	54.6b	(.f64 (.f64 (sqrt.f64 1/2) (neg.f64 a1)) a1)
✓	0.5b	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	25.6b	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a1 a1))
	39.3b	(.f64 (.f64 (sqrt.f64 1/2) a1) a1)
	41.7b	(.f64 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a2)
	39.2b	(.f64 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
	54.5b	(.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1)
✓	54.5b	(*.f64 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))) a1)
	25.8b	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	43.5b	(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a1 a1)))
✓	25.6b	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 (cos.f64 th) a1) a1))
	54.6b	(.f64 (sqrt.f64 1/2) (.f64 a1 (neg.f64 a1)))
	39.2b	(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
	29.9b	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
	25.6b	(.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))

Compiler

Compiled 450 to 342 computations (24% saved)

regimes210.0ms (1.5%)

Counts

62 → 1

Calls

Call 1

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

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

Calls

8 calls:

31.0ms	a2
27.0ms	a1
27.0ms	th
25.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
23.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 682 to 368 computations (46% saved)

regimes160.0ms (1.1%)

Counts

56 → 1

Calls

Call 1

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

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

Calls

7 calls:

25.0ms	a1
25.0ms	th
25.0ms	a2
21.0ms	(cos.f64 th)
20.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

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

Compiler

Compiled 564 to 306 computations (45.7% saved)

regimes154.0ms (1.1%)

Counts

51 → 1

Calls

Call 1

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

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

Calls

7 calls:

26.0ms	th
25.0ms	a1
22.0ms	a2
20.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
19.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 495 to 279 computations (43.6% saved)

regimes814.0ms (5.8%)

Counts

50 → 2

Calls

Call 1

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

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

Calls

7 calls:

166.0ms	th
133.0ms	(cos.f64 th)
133.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
125.0ms	a2
99.0ms	(*.f64 a2 a2)

Results

Error	Segments	Branch
6.1b	2	`a1`
8.0b	4	`a2`
10.3b	5	`th`
10.0b	6	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
10.0b	6	`(cos.f64 th)`
10.8b	2	`(*.f64 a1 a1)`
12.8b	4	`(*.f64 a2 a2)`

Compiler

Compiled 482 to 275 computations (42.9% saved)

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	-1.5910107068313166e-109	-9.774101602253429e-110

Results

11.0ms	22×	body	1024	valid
5.0ms	33×	body	256	valid
3.0ms	9×	body	512	valid

Compiler

Compiled 132 to 100 computations (24.2% saved)

regimes593.0ms (4.3%)

Counts

47 → 2

Calls

Call 1

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

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

Calls

7 calls:

127.0ms	(cos.f64 th)
101.0ms	th
95.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
80.0ms	a2
77.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
6.1b	2	`a1`
8.0b	4	`a2`
10.3b	5	`th`
10.0b	6	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
10.0b	6	`(cos.f64 th)`
10.8b	2	`(*.f64 a1 a1)`
12.8b	4	`(*.f64 a2 a2)`

Compiler

Compiled 453 to 262 computations (42.2% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	-1.5910107068313166e-109	-9.774101602253429e-110

Results

13.0ms	34×	body	256	valid
9.0ms	22×	body	1024	valid
2.0ms	8×	body	512	valid

Compiler

Compiled 132 to 100 computations (24.2% saved)

regimes376.0ms (2.7%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

7 calls:

83.0ms	th
68.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
67.0ms	(cos.f64 th)
55.0ms	a2
40.0ms	(*.f64 a2 a2)

Results

Error	Segments	Branch
6.2b	2	`a1`
8.0b	4	`a2`
10.3b	6	`th`
10.1b	6	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
10.1b	6	`(cos.f64 th)`
10.8b	2	`(*.f64 a1 a1)`
12.8b	4	`(*.f64 a2 a2)`

Compiler

Compiled 336 to 205 computations (39% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	-1.5910107068313166e-109	-9.774101602253429e-110

Results

9.0ms	21×	body	1024	valid
6.0ms	39×	body	256	valid
1.0ms	4×	body	512	valid

Compiler

Compiled 132 to 100 computations (24.2% saved)

regimes223.0ms (1.6%)

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

42.0ms	th
42.0ms	a2
33.0ms	(*.f64 a2 a2)
29.0ms	a1
23.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Error	Segments	Branch
14.5b	2	`a1`
16.5b	2	`a2`
13.1b	3	`th`
13.1b	2	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
13.1b	2	`(cos.f64 th)`
16.2b	2	`(*.f64 a1 a1)`
18.6b	4	`(*.f64 a2 a2)`

Compiler

Compiled 318 to 196 computations (38.4% saved)

bsearch43.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.00016188671048288384	0.030566659912943772
22.0ms	-61967260935956260.0	-517832211496637.1

Results

39.0ms

224×

body

256

valid

Compiler

Compiled 518 to 384 computations (25.9% saved)

regimes73.0ms (0.5%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

5 calls:

16.0ms	th
15.0ms	a2
15.0ms	a1
10.0ms	(*.f64 a2 a2)
9.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
25.8b	1	`a1`
25.8b	1	`a2`
25.8b	1	`th`
25.8b	1	`(*.f64 a1 a1)`
25.8b	1	`(*.f64 a2 a2)`

Compiler

Compiled 296 to 179 computations (39.5% saved)

regimes52.0ms (0.4%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	th
11.0ms	a1
11.0ms	a2
7.0ms	(*.f64 a2 a2)
7.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
25.8b	1	`a1`
25.8b	1	`a2`
25.8b	1	`th`
25.8b	1	`(*.f64 a1 a1)`
25.8b	1	`(*.f64 a2 a2)`

Compiler

Compiled 191 to 123 computations (35.6% saved)

regimes119.0ms (0.9%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

5 calls:

39.0ms	th
25.0ms	a2
22.0ms	(*.f64 a2 a2)
17.0ms	a1
11.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
28.2b	2	`a1`
30.3b	2	`a2`
36.3b	5	`th`
29.9b	2	`(*.f64 a1 a1)`
32.1b	4	`(*.f64 a2 a2)`

Compiler

Compiled 151 to 98 computations (35.1% saved)

bsearch28.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
28.0ms	-1.9788423607054525e-105	-2.8248697118675644e-106

Results

13.0ms	28×	body	1024	valid
8.0ms	52×	body	256	valid
6.0ms	16×	body	512	valid

Compiler

Compiled 148 to 116 computations (21.6% saved)

regimes53.0ms (0.4%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	th
13.0ms	a2
11.0ms	a1
7.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
28.2b	2	`a1`
30.3b	2	`a2`
36.3b	5	`th`
29.9b	2	`(*.f64 a1 a1)`

Compiler

Compiled 57 to 40 computations (29.8% saved)

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	-1.9788423607054525e-105	-2.8248697118675644e-106

Results

18.0ms	34×	body	1024	valid
8.0ms	49×	body	256	valid
4.0ms	13×	body	512	valid

Compiler

Compiled 148 to 116 computations (21.6% saved)

regimes47.0ms (0.3%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	th
13.0ms	a2
8.0ms	a1
6.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
28.2b	2	`a1`
30.3b	2	`a2`
36.4b	5	`th`
29.9b	2	`(*.f64 a1 a1)`

Compiler

Compiled 51 to 36 computations (29.4% saved)

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
29.0ms	-1.9788423607054525e-105	-2.8248697118675644e-106

Results

15.0ms	30×	body	1024	valid
9.0ms	56×	body	256	valid
4.0ms	10×	body	512	valid

Compiler

Compiled 148 to 116 computations (21.6% saved)

regimes15.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	th
4.0ms	a1
3.0ms	a2
3.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
39.2b	1	`a1`
39.2b	1	`a2`
39.2b	1	`th`
39.2b	1	`(*.f64 a1 a1)`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes14.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.1%)

Threshold costs -0.1b (-0.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))

Calls

4 calls:

5.0ms	a2
3.0ms	a1
3.0ms	th
2.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
39.2b	1	`a1`
39.2b	1	`a2`
39.2b	1	`th`
39.2b	1	`(*.f64 a1 a1)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative`
4×	`+-commutative`
2×	`1-exp`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	628
1	100	628

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(if (<=.f64 a1 -2453839756149403/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(if (<=.f64 a1 -3278837605199633/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(if (<=.f64 a1 -3278837605199633/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(if (<=.f64 th -520000000000000) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (if (<=.f64 th 5188146770730811/288230376151711744) (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 a1 -8676359590372013/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a1 -157355851945921/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a1 -7488524646452035/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))

Outputs
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (<=.f64 a1 -2453839756149403/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(if (<=.f64 a1 -2453839756149403/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 a2 (.f64 (cos.f64 th) a2)) (sqrt.f64 2)))
(if (<=.f64 a1 -3278837605199633/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(if (<=.f64 a1 -3278837605199633/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(if (<=.f64 a1 -3278837605199633/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))
(if (<=.f64 th -520000000000000) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (if (<=.f64 th 5188146770730811/288230376151711744) (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(if (or (<=.f64 th -520000000000000) (not (<=.f64 th 5188146770730811/288230376151711744))) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (.f64 th th)) 1))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
(if (<=.f64 a1 -8676359590372013/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a1 -157355851945921/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a1 -157355851945921/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a1 -7488524646452035/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(if (<=.f64 a1 -7488524646452035/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (.f64 a1 a1) (sqrt.f64 1/2))

Compiler

Compiled 262 to 185 computations (29.4% saved)

soundness19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

60×	`fma-def`
50×	`*-commutative`
40×	`associate-/l*`
18×	`associate-/r/`
16×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	30	35
2	56	35
3	79	35
4	106	35
5	124	35
6	142	35
7	147	35
8	149	35

Stop Event

1×

saturated

Compiler

Compiled 73 to 33 computations (54.8% saved)

end116.0ms (0.8%)

Compiler: Compiled 253 to 144 computations (43.1% saved)

Iter	Nodes	Cost
0	27	156
1	72	140
2	146	140
3	208	140
4	286	140
5	334	140
6	382	140
7	395	140
8	401	140
0	3	3
1	3	3

Iter	Nodes	Cost
0	27	156
1	72	140
2	146	140
3	208	140
4	286	140
5	334	140
6	382	140
7	395	140
8	401	140
0	3	3
1	3	3

Iter	Nodes	Cost
0	27	156
1	72	140
2	146	140
3	208	140
4	286	140
5	334	140
6	382	140
7	395	140
8	401	140
0	3	3
1	3	3