Details

analyze400.0ms (1.9%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample4.1s (19.6%)

Results

1.1s	5482×	body	256	valid
976.0ms	1682×	body	1024	infinite
946.0ms	1842×	body	1024	valid
393.0ms	929×	body	512	valid
339.0ms	837×	body	512	infinite
305.0ms	1600×	body	256	infinite
3.0ms	3×	body	2048	valid

Bogosity

preprocess63.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

96×	`fma-def_binary64`
70×	`*-commutative_binary64`
57×	`associate-/l*_binary64`
30×	`associate-/r/_binary64`
26×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	80
1	69	72
2	160	72
3	243	72
4	321	72
5	375	72
6	420	72
7	474	72
8	480	72
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 (.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 (.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)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`fma-def_binary64`
23×	`*-commutative_binary64`
20×	`associate-/l*_binary64`
11×	`associate-/r/_binary64`
9×	`associate-*r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	27	18
2	58	18
3	88	18
4	115	18
5	135	18
6	152	18
7	170	18
8	172	18

Stop Event

1×

saturated

Counts

1 → 2

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)))

eval1.0ms (0%)

Compiler: Compiled 34 to 20 computations (41.2% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
▶	0.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))

Compiler

Compiled 37 to 25 computations (32.4% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))
✓	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series42.0ms (0.2%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	a1	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))
2.0ms	a2	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))
2.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))
1.0ms	th	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))
1.0ms	th	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

523×	`log-prod_binary64`
407×	`exp-prod_binary64`
343×	`pow-prod-down_binary64`
283×	`pow2_binary64`
198×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	224	25
2	2738	25

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(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 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (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 (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 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 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 (/.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 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (pow.f64 2 1/6)))))) (#(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 (sqrt.f64 (cos.f64 th)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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 (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 pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2) 1/2)))) (#(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 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3)))) (#(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 (/.f64 (sqrt.f64 2) (cos.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 2 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (sqrt.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(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) 1/2))))) (#(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) (pow.f64 2 3/2)))))) (#(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 log1p.f64 (expm1.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 exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 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 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(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 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 2)) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a1 a2) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 2)) (cbrt.f64 (log.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))) (sqrt.f64 (log.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a1 a2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(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 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (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 (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 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 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 (/.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 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (pow.f64 2 1/6)))))) (#(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 (sqrt.f64 (cos.f64 th)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (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 pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) 1/2)))) (#(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 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3)))) (#(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 (/.f64 (sqrt.f64 2) (cos.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 2 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (sqrt.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(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) 1/2))))) (#(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) (pow.f64 2 3/2)))))) (#(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 log1p.f64 (expm1.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 exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 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 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(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 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 2)) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a1 a2) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a1 a2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

821×	`unswap-sqr_binary64`
749×	`associate-l_binary64`
547×	`associate-/l/_binary64`
515×	`fma-def_binary64`
494×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	59	925
1	145	857
2	373	853
3	1196	821
4	4370	806

Stop Event

1×	node limit

Counts

126 → 109

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
✓	0.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
✓	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 59 to 29 computations (50.8% saved)

series14.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`log-prod_binary64`
512×	`fma-def_binary64`
365×	`pow2_binary64`
251×	`pow1/3_binary64`
246×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	283	46
2	3917	45

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

Inputs
(.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)))

Inputs

(*.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)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a2 a2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 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 sqrt.f64 (.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a1 a1))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a1 a1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(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 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))) 2) (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a2 a1)) (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a2 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3) (pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2) (.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (/.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (cos.f64 th) (.f64 a2 a2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))))) (#(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 1 (/.f64 (-.f64 (fma.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2) (.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (/.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (cos.f64 th) (.f64 a2 a2))) 2)) (+.f64 (pow.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3) (pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3) (pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)) (-.f64 (fma.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2) (.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (/.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (cos.f64 th) (.f64 a2 a2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3) (pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)) (fma.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2) (-.f64 (.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (/.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (cos.f64 th) (.f64 a2 a2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3) (pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2) (.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (/.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (cos.f64 th) (.f64 a2 a2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)))) (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a1 a1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (-.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a2 a1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2) (.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (/.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (cos.f64 th) (.f64 a2 a2))) 2)) (+.f64 (pow.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3) (pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))) (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 1 (expm1.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))) (+.f64 1 (expm1.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) (pow.f64 (pow.f64 (exp.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 1 (expm1.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) (+.f64 1 (expm1.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 th) (.f64 (pow.f64 2 -1/2) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 th) (.f64 (pow.f64 2 -1/2) (.f64 a2 a2)) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a1 4)) (.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a2 4)) (.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 a2)) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 a2)) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 2 -1/2) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (pow.f64 2 -1/2) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cos.f64 th) 1) (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cos.f64 th) 1) (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (.f64 a1 a1) (pow.f64 2 1/4)) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 1) a1 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (sqrt.f64 a1)) (sqrt.f64 a1) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) 1) a2 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) (sqrt.f64 a2)) (sqrt.f64 a2) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1))))))

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

simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

751×	`associate-+l+_binary64`
730×	`associate-/l*_binary64`
509×	`associate-+r+_binary64`
509×	`associate-/r*_binary64`
442×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	1972
1	211	1968
2	621	1767
3	2474	1558

Stop Event

1×	node limit

Counts

231 → 178

Calls

Call 1

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

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

eval201.0ms (1%)

Compiler: Compiled 9104 to 5245 computations (42.4% saved)

prune84.0ms (0.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	379	16	395
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	381	16	397

Error

Counts

397 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
	16.7b	(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a2 a1)) 2)
	25.2b	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
	0.7b	(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	0.7b	(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
▶	28.2b	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
	28.5b	(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
▶	0.7b	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
	25.2b	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
▶	0.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	25.2b	(.f64 (/.f64 1 (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))
	29.1b	(.f64 (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (+.f64 1 (.f64 -1/2 (*.f64 th th))))
	0.7b	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
	28.5b	(.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
	0.7b	(.f64 (cos.f64 th) (.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2)))
▶	27.9b	(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))

Compiler

Compiled 492 to 372 computations (24.4% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓	0.3b	(/.f64 (sqrt.f64 2) (cos.f64 th))
✓	0.4b	(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 58 to 31 computations (46.6% saved)

series18.0ms (0.1%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	th	@	inf	(/.f64 (sqrt.f64 2) (cos.f64 th))
2.0ms	th	@	-inf	(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)
1.0ms	th	@	0	(/.f64 (sqrt.f64 2) (cos.f64 th))
1.0ms	th	@	-inf	(/.f64 (sqrt.f64 2) (cos.f64 th))
1.0ms	a2	@	-inf	(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

677×	`log-prod_binary64`
417×	`pow-prod-down_binary64`
326×	`pow2_binary64`
265×	`pow-unpow_binary64`
231×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	255	33
2	3406	33

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 th) a2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) a2) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) a2) (cbrt.f64 2)) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 th)) a2) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) a2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (/.f64 1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (pow.f64 2 1/6) (/.f64 1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (/.f64 1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (pow.f64 2 1/6) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 th) -1/2) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th))) (/.f64 (pow.f64 2 1/6) (sqrt.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)) 1/2)))) (#(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 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)))) (#(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 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 2)))) (#(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 (/.f64 (pow.f64 2 3/2) (pow.f64 (cos.f64 th) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(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 2 3/2) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 a1) a1) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) (cbrt.f64 (*.f64 (pow.f64 a1 4) (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 a1 4) (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (/.f64 1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 a1) a1) (sqrt.f64 2)) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 1) (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 a1) a1) 1) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 a1 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) -2) (/.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 a1) a1) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 a1) a1) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a1 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a1 a1) (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 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 a1 a1) (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 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a1 4) (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 a1 -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 a1 6) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 a1 -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 a1 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (cbrt.f64 a1) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 a1 a1) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a1 4) (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a1 6) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 1))))))

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

539×	`cancel-sign-sub-inv_binary64`
476×	`associate-/l*_binary64`
352×	`associate-/r*_binary64`
279×	`distribute-rgt-in_binary64`
274×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	870
1	205	862
2	634	848
3	2595	814

Stop Event

1×	node limit

Counts

180 → 154

Calls

Call 1

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

Outputs
(/.f64 a2 (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 th th))) (/.f64 a2 (sqrt.f64 2)))
(fma.f64 -1/2 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 th th)) (/.f64 a2 (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 1/24 (/.f64 a2 (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 a2 (sqrt.f64 2))))
(fma.f64 -1/2 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 th th)) (fma.f64 1/24 (*.f64 (/.f64 a2 (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 (.f64 (.f64 -1/2 th) th) (.f64 1/24 (pow.f64 th 4)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 a2 (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 -1/720 (/.f64 a2 (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (fma.f64 1/24 (/.f64 a2 (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 a2 (sqrt.f64 2)))))
(fma.f64 -1/2 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 th th)) (fma.f64 -1/720 (.f64 (/.f64 a2 (sqrt.f64 2)) (pow.f64 th 6)) (fma.f64 1/24 (.f64 (/.f64 a2 (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 a2 (sqrt.f64 2)))))
(fma.f64 -1/2 (.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 th th)) (fma.f64 1/24 (*.f64 (/.f64 a2 (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (/.f64 (sqrt.f64 2) a2)) (/.f64 a2 (sqrt.f64 2)))))
(+.f64 (fma.f64 1/24 (.f64 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) a2) (/.f64 a2 (sqrt.f64 2))) (.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (.f64 (*.f64 -1/2 th) th))))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 th th))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 th th)) (sqrt.f64 2))
(fma.f64 (sqrt.f64 2) (.f64 th (.f64 th 1/2)) (sqrt.f64 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) (fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 th th)) (neg.f64 (.f64 (pow.f64 th 4) (.f64 (sqrt.f64 2) -5/24)))))
(-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 th th)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 -5/24 (pow.f64 th 4))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (-.f64 (.f64 th (.f64 th 1/2)) (.f64 (pow.f64 th 4) -5/24))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (fma.f64 th (.f64 th 1/2) (*.f64 (pow.f64 th 4) 5/24))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (sqrt.f64 2)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2)))) (.f64 1/48 (sqrt.f64 2)))) (pow.f64 th 6))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4))))))
(+.f64 (sqrt.f64 2) (fma.f64 -1 (.f64 (pow.f64 th 6) (fma.f64 -1/720 (sqrt.f64 2) (fma.f64 1/2 (.f64 (sqrt.f64 2) -5/24) (.f64 (sqrt.f64 2) 1/48)))) (fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 th th)) (neg.f64 (.f64 (pow.f64 th 4) (*.f64 (sqrt.f64 2) -5/24))))))
(+.f64 (sqrt.f64 2) (-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 th th) 1/2)) (.f64 (sqrt.f64 2) (.f64 -5/24 (pow.f64 th 4)))) (.f64 (pow.f64 th 6) (fma.f64 (sqrt.f64 2) -1/720 (fma.f64 (sqrt.f64 2) 1/48 (*.f64 (sqrt.f64 2) -5/48))))))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 th (.f64 th 1/2)) (.f64 (pow.f64 th 4) -5/24))) (fma.f64 (fma.f64 (sqrt.f64 2) -1/720 (*.f64 (sqrt.f64 2) -1/12)) (neg.f64 (pow.f64 th 6)) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 2) (fma.f64 th (.f64 th 1/2) (.f64 (pow.f64 th 4) 5/24)) (-.f64 (sqrt.f64 2) (.f64 (pow.f64 th 6) (.f64 (sqrt.f64 2) -61/720))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (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 a1 (sqrt.f64 2)) a1)
(+.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)))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 th th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(fma.f64 -1/2 (.f64 (.f64 th th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(+.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))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(fma.f64 -1/2 (.f64 (.f64 th th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (fma.f64 1/24 (.f64 (pow.f64 th 4) (.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (+.f64 (.f64 (.f64 -1/2 th) th) (.f64 1/24 (pow.f64 th 4)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (fma.f64 1/24 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 -1/720 (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (pow.f64 th 6)) (fma.f64 1/24 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))))
(fma.f64 -1/2 (.f64 (.f64 th th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (fma.f64 1/24 (.f64 (pow.f64 th 4) (.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (fma.f64 -1/720 (.f64 (pow.f64 th 6) (.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (.f64 (.f64 th th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/720 (pow.f64 th 6))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))

localize28.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 19 computations (36.7% saved)

series11.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

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

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

953×	`pow1_binary64`
882×	`add-log-exp_binary64`
882×	`log1p-expm1-u_binary64`
882×	`expm1-log1p-u_binary64`
862×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	188	31
2	2380	31

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

Outputs

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

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

simplify122.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1035×	`unswap-sqr_binary64`
984×	`associate-*l/_binary64`
967×	`fma-def_binary64`
537×	`associate-/l*_binary64`
475×	`*-commutative_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	53	764
1	135	760
2	350	758
3	1144	732
4	3627	698
5	5293	678
6	5469	678
7	5679	678
8	5894	678
9	6098	678

Stop Event

1×	node limit

Counts

117 → 89

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 17 computations (59.5% saved)

series32.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
22.0ms	a2	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	a1	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	th	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	th	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

rewrite124.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

913×	`prod-diff_binary64`
623×	`log-prod_binary64`
279×	`fma-def_binary64`
224×	`expm1-udef_binary64`
224×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	261	24
2	3622	24

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.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 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 1) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a2 a1) 2))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a2 a1) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a2 a1) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.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 (pow.f64 a2 4) (pow.f64 a1 4)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (*.f64 (sqrt.f64 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 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (*.f64 (neg.f64 (sqrt.f64 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 (cos.f64 th) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (*.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (cos.f64 th)) (*.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (cos.f64 th)) (*.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) 1) (*.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 3) (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) 3)) (fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))) (*.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 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))) (-.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) (pow.f64 (hypot.f64 a2 a1) 2)) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (-.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 (cos.f64 th) (sqrt.f64 2)) (-.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 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))) (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 fma.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 fma.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.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 fma.f64 1 (*.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 fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.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 fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.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 fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.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 fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.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 fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 1 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))) (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))) (cbrt.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 fma.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))) (cbrt.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 fma.f64 (sqrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))) (sqrt.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 fma.f64 (sqrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) (sqrt.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 fma.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))))

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

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

821×	`unswap-sqr_binary64`
732×	`associate-/r/_binary64`
666×	`associate-l_binary64`
555×	`associate-/l/_binary64`
456×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	1033
1	106	929
2	286	925
3	1028	893
4	3924	880

Stop Event

1×	node limit

Counts

198 → 159

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 a2 2) (cos.f64 th))
✓	0.5b	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))

Compiler

Compiled 28 to 18 computations (35.7% saved)

series6.0ms (0%)

Counts

2 → 20

Calls

12 calls:

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

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

921×	`pow1_binary64`
854×	`add-log-exp_binary64`
854×	`log1p-expm1-u_binary64`
854×	`expm1-log1p-u_binary64`
834×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	189	23
2	2332	23

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

952×	`fma-def_binary64`
617×	`associate-*l/_binary64`
520×	`distribute-rgt-out_binary64`
494×	`*-commutative_binary64`
488×	`associate-/l*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	43	358
1	111	339
2	327	326
3	1336	299
4	4865	280
5	6771	266
6	7997	266

Stop Event

1×	node limit

Counts

74 → 72

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (hypot.f64 a1 a2) 2)
✓	0.2b	(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
✓	0.2b	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
✓	0.6b	(/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))

Compiler

Compiled 52 to 28 computations (46.2% saved)

series40.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
8.0ms	a2	@	0	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
5.0ms	a1	@	0	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
3.0ms	a2	@	inf	(/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
2.0ms	th	@	0	(/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
2.0ms	a1	@	inf	(/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))

rewrite130.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
353×	`pow-prod-down_binary64`
317×	`pow2_binary64`
222×	`pow-unpow_binary64`
222×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	270	53
2	3284	53

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th)))) (cbrt.f64 (/.f64 2 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4))) (cbrt.f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a1 a2)) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (pow.f64 2 1/6) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) (cos.f64 th)) (/.f64 (pow.f64 2 1/4) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cos.f64 th)) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 2 1/6) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (pow.f64 2 1/4) (cos.f64 th)))))) (#(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 (/.f64 (cbrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (pow.f64 2 1/6) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4))) (cbrt.f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4))) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th)))) (/.f64 (sqrt.f64 2) (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th)))) (/.f64 (pow.f64 2 1/6) (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a1 a2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a1 a2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a1 a2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a1 a2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4))) (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a1 a2))) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (.f64 (sqrt.f64 2) (neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) 1) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4)) 1) (/.f64 (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 1) (/.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (/.f64 (cos.f64 th) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4)) (cbrt.f64 2)) (/.f64 (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) (cbrt.f64 2)) (/.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (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 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 -1/4) (/.f64 (.f64 (cos.f64 th) (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 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) (pow.f64 2 1/4)) (/.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th))) (pow.f64 (hypot.f64 a1 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th)))) -2) (cbrt.f64 (/.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 2 -1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a1 a2) 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 2 -1/2) 1) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 2 -1/2) (cbrt.f64 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4))) (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 2 -1/2) (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th)))) (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a1 a2)) 6) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a1 a2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a1 a2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 6) (pow.f64 2 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (.f64 (sqrt.f64 2) (neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/2 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 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 2) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 6) (pow.f64 2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 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 2) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 (hypot.f64 a1 a2)) (log.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 (hypot.f64 a1 a2)) (log.f64 (cos.f64 th))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 a1 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a1 a1) (.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a2 a2) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(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 (hypot.f64 a1 a2) (hypot.f64 a1 a2))))) (#(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 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 4) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (hypot.f64 a1 a2)) (pow.f64 (hypot.f64 a1 a2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 a1 a2) 3/2) (sqrt.f64 (hypot.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 5) (cbrt.f64 (hypot.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 a1 a2) 4))))) (#(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 log.f64 (.f64 (exp.f64 (.f64 a1 a1)) (exp.f64 (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 a2 a2)) (exp.f64 (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 6))))) (#(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 log1p.f64 (expm1.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 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 (pow.f64 (cbrt.f64 a1) 2) (.f64 (cbrt.f64 a1) a1) (.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a2) 2) (.f64 (cbrt.f64 a2) a2) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a1) (pow.f64 a1 3/2) (.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a2) (pow.f64 a2 3/2) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a2 3/2) (sqrt.f64 a2) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a1 3/2) (sqrt.f64 a1) (.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 a2) a2) (pow.f64 (cbrt.f64 a2) 2) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 a1) a1) (pow.f64 (cbrt.f64 a1) 2) (.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a2) 5) (cbrt.f64 a2) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a1) 5) (cbrt.f64 a1) (.f64 a2 a2))))))

simplify150.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

686×	`distribute-rgt-in_binary64`
675×	`distribute-lft-in_binary64`
403×	`fma-def_binary64`
252×	`associate-+r+_binary64`
229×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	5710
1	1261	5098
2	4710	4328

Stop Event

1×	node limit

Counts

297 → 273

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (.f64 -1/4 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (pow.f64 th 4))) (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (.f64 -1/4 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))) (+.f64 (.f64 -1/720 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (.f64 1/48 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))) (pow.f64 th 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (*.f64 -1/4 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (pow.f64 th 4))) (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (pow.f64 a2 4) (cos.f64 th)))) (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (pow.f64 a2 4) (cos.f64 th)))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (.f64 (cos.f64 th) (pow.f64 a2 6)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (pow.f64 a2 4) (cos.f64 th)))) (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 6)) (.f64 (pow.f64 a2 8) (cos.f64 th)))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (*.f64 (pow.f64 a2 6) (cos.f64 th))))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4)))) (cos.f64 th)) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))) (pow.f64 a1 6)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4)))) (cos.f64 th)) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))) (pow.f64 a1 6))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (pow.f64 a2 2))) (cos.f64 th))) (+.f64 (.f64 -1 (.f64 (pow.f64 a2 2) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4)))) (cos.f64 th)) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/8 (pow.f64 a2 6)) (.f64 -1/8 (pow.f64 a2 6)))) (cos.f64 th)))) (pow.f64 a1 8))))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4)))) (cos.f64 th)) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))) (pow.f64 a1 6)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4)))) (cos.f64 th)) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))) (pow.f64 a1 6))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (pow.f64 a2 2))) (cos.f64 th))) (+.f64 (.f64 -1 (.f64 (pow.f64 a2 2) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4)))) (cos.f64 th)) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/8 (pow.f64 a2 6)) (.f64 -1/8 (pow.f64 a2 6)))) (cos.f64 th)))) (pow.f64 a1 8))))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (.f64 (pow.f64 a1 6) (cos.f64 th))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (.f64 (pow.f64 a1 6) (cos.f64 th))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 6)) (*.f64 (pow.f64 a1 8) (cos.f64 th)))))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4)))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (cos.f64 th))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4)))) (cos.f64 th))) (pow.f64 a2 6))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/8 (pow.f64 a1 6)) (.f64 -1/8 (pow.f64 a1 6)))) (cos.f64 th)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (cos.f64 th))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4)))) (cos.f64 th))) (pow.f64 a1 2))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))))) (cos.f64 th))))) (pow.f64 a2 8))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (cos.f64 th))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4)))) (cos.f64 th))) (pow.f64 a2 6))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4)))))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4)))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (cos.f64 th))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4)))) (cos.f64 th))) (pow.f64 a2 6))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/8 (pow.f64 a1 6)) (.f64 -1/8 (pow.f64 a1 6)))) (cos.f64 th)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (cos.f64 th))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4)))) (cos.f64 th))) (pow.f64 a1 2))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))))) (cos.f64 th))))) (pow.f64 a2 8))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (cos.f64 th))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4)))) (cos.f64 th))) (pow.f64 a2 6))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4)))))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (*.f64 (pow.f64 a1 8) (cos.f64 th))) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 12) (.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2) (.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4)))))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4))) (.f64 1/256 (/.f64 1 (pow.f64 a2 10)))))) (cos.f64 th))) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (*.f64 (pow.f64 a1 8) (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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 a2 6)) (.f64 -1/8 (pow.f64 a2 6))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a1 4))))))
(/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 a2 6)) (.f64 -1/8 (pow.f64 a2 6))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a1 4))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (.f64 (cos.f64 th) (pow.f64 a2 8))) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (.f64 (pow.f64 a2 8) (cos.f64 th))) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))) (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 a1 10))) (.f64 -1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2) (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))))))))) (.f64 (cos.f64 th) (pow.f64 a2 12))) (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 (.f64 (cos.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 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 a1 6)) (.f64 -1/8 (pow.f64 a1 6))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 4))) (+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 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 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 a1 6)) (.f64 -1/8 (pow.f64 a1 6))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 4))) (+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 2))))))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))) (.f64 -1/720 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))))))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (.f64 (pow.f64 a1 8) (cos.f64 th))) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (.f64 (pow.f64 a1 12) (.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4))) (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 a2 10))) (.f64 -1 (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4))))))))) (cos.f64 th))) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (.f64 (pow.f64 a1 8) (cos.f64 th))) (*.f64 (pow.f64 a1 2) (cos.f64 th)))))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (pow.f64 a1 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (pow.f64 a1 2)) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 a2 6)) (.f64 -1/8 (pow.f64 a2 6))) (cos.f64 th)) (pow.f64 a1 4)))))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (pow.f64 a1 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (pow.f64 a1 2)) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 a2 6)) (.f64 -1/8 (pow.f64 a2 6))) (cos.f64 th)) (pow.f64 a1 4)))))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (.f64 (pow.f64 a2 8) (cos.f64 th))) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (.f64 (pow.f64 a2 8) (cos.f64 th))) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (pow.f64 a2 12) (.f64 (cos.f64 th) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4)))))) (*.f64 1/256 (/.f64 1 (pow.f64 a1 10)))))))))))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (*.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2))))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2)) (/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 a1 6)) (.f64 1/8 (pow.f64 a1 6))) (cos.f64 th)) (pow.f64 a2 4)))))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (*.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2))))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2)) (/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 a1 6)) (.f64 1/8 (pow.f64 a1 6))) (cos.f64 th)) (pow.f64 a2 4)))))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a1 8)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (pow.f64 a1 2))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a1 2) (.f64 1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))))))))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (pow.f64 a1 2))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a1 2) (.f64 1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 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) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (pow.f64 a2 8)) (pow.f64 a1 2)))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))))))))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))))))))

Outputs
(/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 th th))) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 th th)) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (.f64 -1/4 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (pow.f64 th 4))) (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(fma.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 th th))) (fma.f64 -1 (.f64 (.f64 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) -5/24) (pow.f64 th 4)) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 th th)) (-.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (*.f64 -5/24 (pow.f64 th 4)))))
(fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 th th)) (fma.f64 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) 5/24) (pow.f64 th 4) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (.f64 -1/4 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))) (+.f64 (.f64 -1/720 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (.f64 1/48 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))) (pow.f64 th 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (*.f64 -1/4 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (pow.f64 th 4))) (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(fma.f64 -1 (.f64 (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) -5/24) (.f64 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 7/360)) (pow.f64 th 6)) (fma.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 th th))) (fma.f64 -1 (.f64 (.f64 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) -5/24) (pow.f64 th 4)) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(fma.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) 7/360 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) -5/48))) (pow.f64 th 6) (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 th th)) (-.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 -5/24 (pow.f64 th 4))))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 th th)) (fma.f64 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) 5/24) (pow.f64 th 4) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))))) (.f64 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1))) -61/720) (pow.f64 th 6)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th))
(/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (pow.f64 a2 4) (cos.f64 th)))) (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))))
(fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a1 a1) (pow.f64 a2 4))) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 a1 (/.f64 (pow.f64 a2 4) a1))))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a1 a1) (pow.f64 a2 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (pow.f64 a2 4) (cos.f64 th)))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (.f64 (cos.f64 th) (pow.f64 a2 6)))))
(+.f64 (fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a1 a1) (pow.f64 a2 4))) (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 6)) (/.f64 (pow.f64 a1 4) (cos.f64 th))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 a1 (/.f64 (pow.f64 a2 4) a1))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 (/.f64 (.f64 a1 (neg.f64 a1)) (pow.f64 a2 4)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (pow.f64 a2 4) (cos.f64 th)))) (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 6)) (.f64 (pow.f64 a2 8) (cos.f64 th)))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (*.f64 (pow.f64 a2 6) (cos.f64 th))))))
(fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a1 a1) (pow.f64 a2 4))) (fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 8)) (/.f64 (pow.f64 a1 6) (cos.f64 th))) (+.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th)) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 6)) (/.f64 (pow.f64 a1 4) (cos.f64 th))))))
(-.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 6) (pow.f64 a2 8)))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 a1 (/.f64 (pow.f64 a2 4) a1))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 6)) (/.f64 (pow.f64 a1 4) (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 (/.f64 (.f64 a1 a1) (pow.f64 a2 4)) (/.f64 (pow.f64 a1 6) (pow.f64 a2 8)))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(fma.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 a2 a2)) (.f64 (cos.f64 th) (pow.f64 a1 4))) (/.f64 (sqrt.f64 2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a2 a2) (pow.f64 a1 4))))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))) (/.f64 (sqrt.f64 2) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 4)) (.f64 a2 a2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4)))) (cos.f64 th)) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))) (pow.f64 a1 6)))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 a2 a2)) (.f64 (cos.f64 th) (pow.f64 a1 4))) (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))) (neg.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (pow.f64 a2 4) 0))) (neg.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))) (pow.f64 a1 6))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a2 a2) (pow.f64 a1 4)))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 a2 4))) (pow.f64 a1 6)))
(-.f64 (-.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))) (/.f64 (sqrt.f64 2) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 4)) (.f64 a2 a2)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (neg.f64 (pow.f64 a2 4))) (pow.f64 a1 6)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4)))) (cos.f64 th)) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))) (pow.f64 a1 6))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (pow.f64 a2 2))) (cos.f64 th))) (+.f64 (.f64 -1 (.f64 (pow.f64 a2 2) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4)))) (cos.f64 th)) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/8 (pow.f64 a2 6)) (.f64 -1/8 (pow.f64 a2 6)))) (cos.f64 th)))) (pow.f64 a1 8))))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 a2 a2)) (.f64 (cos.f64 th) (pow.f64 a1 4))) (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))) (.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (pow.f64 a2 4) 0))) (neg.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))) (pow.f64 a1 6)) (/.f64 (fma.f64 -1 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (.f64 (pow.f64 a2 4) 0)))) (fma.f64 -1 (.f64 (.f64 a2 a2) (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (pow.f64 a2 4) 0))) (neg.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th))))) (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (pow.f64 a2 6) 0))))) (pow.f64 a1 8)))))
(-.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 a2 4))) (pow.f64 a1 6))) (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0) (fma.f64 (neg.f64 (.f64 a2 a2)) (-.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 a2 4))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0))) (pow.f64 a1 8))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (*.f64 a2 a2) (pow.f64 a1 4))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))) (/.f64 (sqrt.f64 2) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 4)) (.f64 a2 a2)))) (+.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (neg.f64 (pow.f64 a2 4))) (pow.f64 a1 6)) (/.f64 (.f64 (.f64 a2 a2) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 a2 4))) (pow.f64 a1 8))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(fma.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 a2 a2)) (.f64 (cos.f64 th) (pow.f64 a1 4))) (/.f64 (sqrt.f64 2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a2 a2) (pow.f64 a1 4))))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))) (/.f64 (sqrt.f64 2) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 4)) (.f64 a2 a2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4)))) (cos.f64 th)) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))) (pow.f64 a1 6)))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 a2 a2)) (.f64 (cos.f64 th) (pow.f64 a1 4))) (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))) (neg.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (pow.f64 a2 4) 0))) (neg.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))) (pow.f64 a1 6))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a2 a2) (pow.f64 a1 4)))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 a2 4))) (pow.f64 a1 6)))
(-.f64 (-.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))) (/.f64 (sqrt.f64 2) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 4)) (.f64 a2 a2)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (neg.f64 (pow.f64 a2 4))) (pow.f64 a1 6)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4)))) (cos.f64 th)) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))) (pow.f64 a1 6))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (pow.f64 a2 2))) (cos.f64 th))) (+.f64 (.f64 -1 (.f64 (pow.f64 a2 2) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4)))) (cos.f64 th)) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/8 (pow.f64 a2 6)) (.f64 -1/8 (pow.f64 a2 6)))) (cos.f64 th)))) (pow.f64 a1 8))))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 a2 a2)) (.f64 (cos.f64 th) (pow.f64 a1 4))) (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))) (.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (pow.f64 a2 4) 0))) (neg.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))) (pow.f64 a1 6)) (/.f64 (fma.f64 -1 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (.f64 (pow.f64 a2 4) 0)))) (fma.f64 -1 (.f64 (.f64 a2 a2) (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (pow.f64 a2 4) 0))) (neg.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th))))) (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (pow.f64 a2 6) 0))))) (pow.f64 a1 8)))))
(-.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 a2 4))) (pow.f64 a1 6))) (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0) (fma.f64 (neg.f64 (.f64 a2 a2)) (-.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 a2 4))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0))) (pow.f64 a1 8))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (*.f64 a2 a2) (pow.f64 a1 4))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))) (/.f64 (sqrt.f64 2) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 4)) (.f64 a2 a2)))) (+.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (neg.f64 (pow.f64 a2 4))) (pow.f64 a1 6)) (/.f64 (.f64 (.f64 a2 a2) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 a2 4))) (pow.f64 a1 8))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(fma.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 a2 a2)) (.f64 (cos.f64 th) (pow.f64 a1 4))) (/.f64 (sqrt.f64 2) (.f64 (*.f64 a1 a1) (cos.f64 th))))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a2 a2) (pow.f64 a1 4))))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))) (/.f64 (sqrt.f64 2) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 4)) (.f64 a2 a2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (.f64 (pow.f64 a1 6) (cos.f64 th))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(fma.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 a2 a2)) (.f64 (cos.f64 th) (pow.f64 a1 4))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a2 a2) (pow.f64 a1 4))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))) (/.f64 (sqrt.f64 2) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 4)) (.f64 a2 a2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (.f64 (pow.f64 a1 6) (cos.f64 th))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 6)) (*.f64 (pow.f64 a1 8) (cos.f64 th)))))))
(fma.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 a2 a2)) (.f64 (cos.f64 th) (pow.f64 a1 4))) (+.f64 (+.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 8)) (/.f64 (pow.f64 a2 6) (cos.f64 th))))))
(-.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a2 6) (pow.f64 a1 8)))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (*.f64 a2 a2) (pow.f64 a1 4))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))) (.f64 (/.f64 -1 (cos.f64 th)) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 6)) (pow.f64 a1 8)) (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 4) (*.f64 a2 a2))))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th))
(/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4)))))
(fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a1 a1) (pow.f64 a2 4))) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 a1 (/.f64 (pow.f64 a2 4) a1))))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a1 a1) (pow.f64 a2 4))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (cos.f64 th))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4)))) (cos.f64 th))) (pow.f64 a2 6))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4))))))
(+.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th)) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (pow.f64 a1 4))) (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (pow.f64 a1 4) 0)))) (pow.f64 a2 6)) (neg.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a1 a1) (pow.f64 a2 4))))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 a1 4))) (pow.f64 a2 6))) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 a1 (/.f64 (pow.f64 a2 4) a1))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a1 a1) (pow.f64 a2 4)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (neg.f64 (pow.f64 a1 4))) (pow.f64 a2 6)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/8 (pow.f64 a1 6)) (.f64 -1/8 (pow.f64 a1 6)))) (cos.f64 th)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (cos.f64 th))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4)))) (cos.f64 th))) (pow.f64 a1 2))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))))) (cos.f64 th))))) (pow.f64 a2 8))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (cos.f64 th))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4)))) (cos.f64 th))) (pow.f64 a2 6))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4)))))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (pow.f64 a1 6) 0))) (.f64 -1 (+.f64 (.f64 (.f64 a1 a1) (fma.f64 -1 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (pow.f64 a1 4))) (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (pow.f64 a1 4) 0))))) (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 (pow.f64 a1 4) 0)) (cos.f64 th))))) (pow.f64 a2 8)) (+.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th)) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (pow.f64 a1 4))) (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (pow.f64 a1 4) 0)))) (pow.f64 a2 6)) (neg.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (*.f64 a1 a1) (pow.f64 a2 4)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 a1 4))) (pow.f64 a2 6))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 a1 (/.f64 (pow.f64 a2 4) a1)))) (/.f64 (fma.f64 -1 (fma.f64 (.f64 a1 a1) (-.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 a1 4))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0)) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0)) (pow.f64 a2 8)))
(-.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a1 a1) (pow.f64 a2 4)))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (neg.f64 (pow.f64 a1 4))) (pow.f64 a2 6))) (/.f64 (.f64 (.f64 a1 a1) (neg.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (neg.f64 (pow.f64 a1 4))))) (pow.f64 a2 8)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th))
(/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4)))))
(fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a1 a1) (pow.f64 a2 4))) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th)))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 a1 (/.f64 (pow.f64 a2 4) a1))))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a1 a1) (pow.f64 a2 4))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (cos.f64 th))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4)))) (cos.f64 th))) (pow.f64 a2 6))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4))))))
(+.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th)) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (pow.f64 a1 4))) (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (pow.f64 a1 4) 0)))) (pow.f64 a2 6)) (neg.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a1 a1) (pow.f64 a2 4))))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 a1 4))) (pow.f64 a2 6))) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 a1 (/.f64 (pow.f64 a2 4) a1))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a1 a1) (pow.f64 a2 4)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (neg.f64 (pow.f64 a1 4))) (pow.f64 a2 6)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/8 (pow.f64 a1 6)) (.f64 -1/8 (pow.f64 a1 6)))) (cos.f64 th)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (cos.f64 th))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4)))) (cos.f64 th))) (pow.f64 a1 2))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))))) (cos.f64 th))))) (pow.f64 a2 8))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (cos.f64 th))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4)))) (cos.f64 th))) (pow.f64 a2 6))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4)))))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (pow.f64 a1 6) 0))) (.f64 -1 (+.f64 (.f64 (.f64 a1 a1) (fma.f64 -1 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (pow.f64 a1 4))) (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (pow.f64 a1 4) 0))))) (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 (pow.f64 a1 4) 0)) (cos.f64 th))))) (pow.f64 a2 8)) (+.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th)) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (pow.f64 a1 4))) (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 (pow.f64 a1 4) 0)))) (pow.f64 a2 6)) (neg.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (*.f64 a1 a1) (pow.f64 a2 4)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 a1 4))) (pow.f64 a2 6))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 a1 (/.f64 (pow.f64 a2 4) a1)))) (/.f64 (fma.f64 -1 (fma.f64 (.f64 a1 a1) (-.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 a1 4))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0)) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 0)) (pow.f64 a2 8)))
(-.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (.f64 a1 a1) (pow.f64 a2 4)))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (neg.f64 (pow.f64 a1 4))) (pow.f64 a2 6))) (/.f64 (.f64 (.f64 a1 a1) (neg.f64 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (neg.f64 (pow.f64 a1 4))))) (pow.f64 a2 8)))
(/.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)))))
(+.f64 (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th)))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (fma.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 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))) (.f64 1/24 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4))))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (fma.f64 1/24 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 4)) (.f64 -1/2 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th)))))))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 1/24 (/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4))))) (/.f64 a2 (/.f64 (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 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))) (.f64 1/24 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))))))
(+.f64 (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (fma.f64 1/24 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 4)) (.f64 -1/2 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th)))))) (fma.f64 -1/720 (.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(+.f64 (+.f64 (fma.f64 -1/720 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) (/.f64 1/24 (/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (*.f64 (pow.f64 a1 8) (cos.f64 th))) (sqrt.f64 2))))
(+.f64 (+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (/.f64 5/64 (pow.f64 a2 6))) (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a1 8)))))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (+.f64 (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)) (.f64 (/.f64 (-.f64 (/.f64 5/64 (pow.f64 a2 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6)))) (sqrt.f64 2)) (.f64 (cos.f64 th) (pow.f64 a1 8)))))
(+.f64 (.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 8)) (/.f64 (sqrt.f64 2) (+.f64 (neg.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2)) (*.f64 (/.f64 1 (pow.f64 a2 6)) 1/64)))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 12) (.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2) (.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4)))))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4))) (.f64 1/256 (/.f64 1 (pow.f64 a2 10)))))) (cos.f64 th))) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (*.f64 (pow.f64 a1 8) (cos.f64 th))) (sqrt.f64 2)))))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (pow.f64 a1 12) (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 a2 8)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (.f64 a2 a2)))) (.f64 a2 a2)) (fma.f64 -1 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 a2 8)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (.f64 a2 a2)))) (.f64 a2 a2)) (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2) (/.f64 (.f64 1/8 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6)))) (pow.f64 a2 4)))) (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (pow.f64 a2 4)) (/.f64 1/256 (pow.f64 a2 10))))))))) (/.f64 (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (/.f64 5/64 (pow.f64 a2 6))) (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a1 8))))))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (+.f64 (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)) (+.f64 (.f64 (/.f64 (-.f64 (/.f64 5/64 (pow.f64 a2 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6)))) (sqrt.f64 2)) (.f64 (cos.f64 th) (pow.f64 a1 8))) (.f64 (/.f64 (pow.f64 a1 12) (sqrt.f64 2)) (.f64 (cos.f64 th) (fma.f64 1/2 (-.f64 (/.f64 1/64 (.f64 (.f64 a2 a2) (pow.f64 a2 8))) (/.f64 (.f64 -1/2 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6)))) (pow.f64 a2 4))) (-.f64 (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (pow.f64 a2 4)) (/.f64 1/256 (pow.f64 a2 10))) (fma.f64 1/2 (-.f64 (/.f64 1/64 (.f64 (.f64 a2 a2) (pow.f64 a2 8))) (/.f64 (.f64 -1/2 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6)))) (pow.f64 a2 4))) (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (pow.f64 a2 4)) (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2))))))))))
(+.f64 (.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) (+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 8)) (/.f64 (sqrt.f64 2) (+.f64 (neg.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2)) (.f64 (/.f64 1 (pow.f64 a2 6)) 1/64)))) (.f64 (/.f64 (pow.f64 a1 12) (sqrt.f64 2)) (.f64 (cos.f64 th) (+.f64 (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (pow.f64 a2 4)) (/.f64 1/256 (pow.f64 a2 10))) (-.f64 (.f64 (+.f64 (/.f64 1/64 (.f64 (.f64 a2 a2) (pow.f64 a2 8))) (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6)))) (pow.f64 a2 4))) 0) (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (pow.f64 a2 4)) (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2))))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(+.f64 (+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (pow.f64 a2 4) 0) (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 a1 a1))))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (fma.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 a1 a1)) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))))
(+.f64 (*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) 0)
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 a2 6)) (.f64 -1/8 (pow.f64 a2 6))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a1 4))))))
(+.f64 (+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (pow.f64 a2 4) 0) (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 a1 a1))))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (fma.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 a1 a1)) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))))
(+.f64 (*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) 0)
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(+.f64 (+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (pow.f64 a2 4) 0) (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 a1 a1))))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (fma.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 a1 a1)) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))))
(+.f64 (*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) 0)
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 a2 6)) (.f64 -1/8 (pow.f64 a2 6))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a1 4))))))
(+.f64 (+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (pow.f64 a2 4) 0) (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 a1 a1))))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (fma.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 a1 a1)) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))))
(+.f64 (*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) 0)
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (.f64 (cos.f64 th) (pow.f64 a2 8))) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (/.f64 5/64 (pow.f64 a1 6))) (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 8))))))
(+.f64 (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)) (+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (-.f64 (/.f64 5/64 (pow.f64 a1 6)) (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 a2 8))))))
(+.f64 (.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 a1 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (sqrt.f64 2)) (.f64 (cos.f64 th) (pow.f64 a2 8))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (.f64 (pow.f64 a2 8) (cos.f64 th))) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))) (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 a1 10))) (.f64 -1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2) (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))))))))) (.f64 (cos.f64 th) (pow.f64 a2 12))) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(+.f64 (/.f64 (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (/.f64 5/64 (pow.f64 a1 6))) (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 8)))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 a1 8)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (.f64 a1 a1)))) (.f64 a1 a1)) (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4)) (+.f64 (/.f64 1/256 (pow.f64 a1 10)) (neg.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 a1 8)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (.f64 a1 a1)))) (.f64 a1 a1)) (+.f64 (.f64 1/8 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))) (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2))))))) (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 12))))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2)))))
(+.f64 (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)) (+.f64 (+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 a1 8)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (.f64 a1 a1)))) (.f64 a1 a1)) (-.f64 (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4)) (/.f64 1/256 (pow.f64 a1 10))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 a1 8)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (.f64 a1 a1)))) (.f64 a1 a1)) (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4)) (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2))))) (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 12))))) (/.f64 (-.f64 (/.f64 5/64 (pow.f64 a1 6)) (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 8))))))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 a1 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (sqrt.f64 2)) (.f64 (cos.f64 th) (pow.f64 a2 8))) (+.f64 (.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) (.f64 (/.f64 (fma.f64 1/2 (+.f64 (/.f64 1/64 (.f64 (.f64 a1 a1) (pow.f64 a1 8))) (/.f64 (.f64 1/2 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (pow.f64 a1 4))) (-.f64 (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4)) (/.f64 1/256 (pow.f64 a1 10))) (fma.f64 1/2 (+.f64 (/.f64 1/64 (.f64 (.f64 a1 a1) (pow.f64 a1 8))) (/.f64 (.f64 1/2 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (pow.f64 a1 4))) (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4)) (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2))))) (sqrt.f64 2)) (.f64 (cos.f64 th) (pow.f64 a2 12)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))))
(+.f64 (+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (pow.f64 a2 4) 0) (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 a1 a1))))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (fma.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 a1 a1)) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))))
(+.f64 (*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) 0)
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 a1 6)) (.f64 -1/8 (pow.f64 a1 6))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 4))) (+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 2))))))
(+.f64 (+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (pow.f64 a2 4) 0) (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 a1 a1))))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (fma.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 a1 a1)) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))))
(+.f64 (*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) 0)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 2)))))
(+.f64 (+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (pow.f64 a2 4) 0) (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 a1 a1))))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (fma.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 a1 a1)) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))))
(+.f64 (*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) 0)
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 a1 6)) (.f64 -1/8 (pow.f64 a1 6))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 4))) (+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 2))))))
(+.f64 (+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (pow.f64 a2 4) 0) (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 a1 a1))))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (fma.f64 (/.f64 0 (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 a1 a1)) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))))
(+.f64 (*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) 0)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 -1/2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 th th))))
(fma.f64 a2 a2 (fma.f64 a1 a1 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 th th) -1/2))))
(.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fma.f64 -1/2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 th th)) (.f64 1/24 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (pow.f64 th 4)))))
(fma.f64 a2 a2 (fma.f64 a1 a1 (fma.f64 1/24 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 th th) -1/2)))))
(fma.f64 a2 a2 (fma.f64 a1 a1 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (+.f64 (.f64 -1/2 (.f64 th th)) (*.f64 1/24 (pow.f64 th 4))))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))) (.f64 -1/720 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))))))
(+.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (fma.f64 -1/2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 th th)) (fma.f64 1/24 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (pow.f64 th 4)) (.f64 -1/720 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (pow.f64 th 6))))))
(fma.f64 a2 a2 (fma.f64 a1 a1 (fma.f64 -1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (fma.f64 1/24 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (pow.f64 th 6) -1/720))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (+.f64 (.f64 (pow.f64 th 4) 1/24) (.f64 (pow.f64 th 6) -1/720))))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (.f64 a2 a2) (cos.f64 th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (.f64 (pow.f64 a1 8) (cos.f64 th))) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (fma.f64 (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (/.f64 5/64 (pow.f64 a2 6))) (.f64 (cos.f64 th) (pow.f64 a1 8)) (.f64 (.f64 a1 a1) (cos.f64 th))))
(+.f64 (.f64 (.f64 (cos.f64 th) (pow.f64 a1 8)) (-.f64 (/.f64 5/64 (pow.f64 a2 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (fma.f64 (pow.f64 a1 8) (+.f64 (neg.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2)) (.f64 (/.f64 1 (pow.f64 a2 6)) 1/64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (.f64 (pow.f64 a1 12) (.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4))) (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 a2 10))) (.f64 -1 (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4))))))))) (cos.f64 th))) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (.f64 (pow.f64 a1 8) (cos.f64 th))) (*.f64 (pow.f64 a1 2) (cos.f64 th)))))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (fma.f64 (pow.f64 a1 12) (.f64 (cos.f64 th) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 a2 8)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (.f64 a2 a2)))) (.f64 a2 a2)) (+.f64 (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (pow.f64 a2 4)) (/.f64 1/256 (pow.f64 a2 10))) (neg.f64 (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 a2 8)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (.f64 a2 a2)))) (.f64 a2 a2)) (/.f64 (.f64 1/8 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6)))) (pow.f64 a2 4)))))))) (fma.f64 (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (/.f64 5/64 (pow.f64 a2 6))) (.f64 (cos.f64 th) (pow.f64 a1 8)) (.f64 (.f64 a1 a1) (cos.f64 th)))))
(+.f64 (.f64 (cos.f64 th) (+.f64 (.f64 (pow.f64 a1 12) (fma.f64 1/2 (-.f64 (/.f64 1/64 (.f64 (.f64 a2 a2) (pow.f64 a2 8))) (/.f64 (.f64 -1/2 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6)))) (pow.f64 a2 4))) (-.f64 (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (pow.f64 a2 4)) (/.f64 1/256 (pow.f64 a2 10))) (fma.f64 1/2 (-.f64 (/.f64 1/64 (.f64 (.f64 a2 a2) (pow.f64 a2 8))) (/.f64 (.f64 -1/2 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6)))) (pow.f64 a2 4))) (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (pow.f64 a2 4)) (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2)))))) (.f64 (pow.f64 a1 8) (-.f64 (/.f64 5/64 (pow.f64 a2 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))))))) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (+.f64 (.f64 (pow.f64 a1 12) (+.f64 (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (pow.f64 a2 4)) (/.f64 1/256 (pow.f64 a2 10))) (-.f64 (.f64 (+.f64 (/.f64 1/64 (.f64 (.f64 a2 a2) (pow.f64 a2 8))) (/.f64 (.f64 1/2 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6)))) (pow.f64 a2 4))) 0) (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (pow.f64 a2 4)) (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2))))) (.f64 (pow.f64 a1 8) (+.f64 (neg.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2)) (.f64 (/.f64 1 (pow.f64 a2 6)) 1/64)))) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (pow.f64 a1 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (/.f64 (.f64 (pow.f64 a2 4) 0) (/.f64 (*.f64 a1 a1) (cos.f64 th)))))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (/.f64 (.f64 (cos.f64 th) 0) (.f64 a1 a1)))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 0)
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (pow.f64 a1 2)) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 a2 6)) (.f64 -1/8 (pow.f64 a2 6))) (cos.f64 th)) (pow.f64 a1 4)))))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (/.f64 (.f64 (pow.f64 a2 4) 0) (/.f64 (*.f64 a1 a1) (cos.f64 th)))))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (/.f64 (.f64 (cos.f64 th) 0) (.f64 a1 a1)))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 0)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (pow.f64 a1 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (/.f64 (.f64 (pow.f64 a2 4) 0) (/.f64 (*.f64 a1 a1) (cos.f64 th)))))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (/.f64 (.f64 (cos.f64 th) 0) (.f64 a1 a1)))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 0)
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (pow.f64 a1 2)) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 a2 6)) (.f64 -1/8 (pow.f64 a2 6))) (cos.f64 th)) (pow.f64 a1 4)))))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (/.f64 (.f64 (pow.f64 a2 4) 0) (/.f64 (*.f64 a1 a1) (cos.f64 th)))))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (/.f64 (.f64 (cos.f64 th) 0) (.f64 a1 a1)))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 0)
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (.f64 a1 a1) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (.f64 (pow.f64 a2 8) (cos.f64 th))) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (fma.f64 (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (/.f64 5/64 (pow.f64 a1 6))) (.f64 (cos.f64 th) (pow.f64 a2 8)) (.f64 (.f64 a1 a1) (cos.f64 th))))
(fma.f64 (.f64 a2 a2) (cos.f64 th) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 (pow.f64 a2 8) (-.f64 (/.f64 5/64 (pow.f64 a1 6)) (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)))))))
(.f64 (cos.f64 th) (fma.f64 a2 a2 (fma.f64 (pow.f64 a2 8) (-.f64 (.f64 (/.f64 1 (pow.f64 a1 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (*.f64 a1 a1))))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (.f64 (pow.f64 a2 8) (cos.f64 th))) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (pow.f64 a2 12) (.f64 (cos.f64 th) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4)))))) (*.f64 1/256 (/.f64 1 (pow.f64 a1 10)))))))))))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (fma.f64 (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (/.f64 5/64 (pow.f64 a1 6))) (.f64 (cos.f64 th) (pow.f64 a2 8)) (fma.f64 (.f64 a1 a1) (cos.f64 th) (.f64 (.f64 (cos.f64 th) (pow.f64 a2 12)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 a1 8)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (.f64 a1 a1)))) (.f64 a1 a1)) (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4)) (fma.f64 -1 (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 a1 8)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (.f64 a1 a1)))) (.f64 a1 a1)) (.f64 1/8 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))))) (/.f64 1/256 (pow.f64 a1 10)))))))))
(+.f64 (fma.f64 (.f64 a2 a2) (cos.f64 th) (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 (pow.f64 a2 8) (-.f64 (/.f64 5/64 (pow.f64 a1 6)) (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))))))) (.f64 (cos.f64 th) (.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 a1 8)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (.f64 a1 a1)))) (.f64 a1 a1)) (-.f64 (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4)) (/.f64 1/256 (pow.f64 a1 10))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 a1 8)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (.f64 a1 a1)))) (*.f64 a1 a1)) (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4)) (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2))))) (pow.f64 a2 12))))
(+.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (fma.f64 (pow.f64 a2 8) (-.f64 (.f64 (/.f64 1 (pow.f64 a1 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (.f64 a1 a1)))) (.f64 (fma.f64 1/2 (+.f64 (/.f64 1/64 (.f64 (.f64 a1 a1) (pow.f64 a1 8))) (/.f64 (.f64 1/2 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (pow.f64 a1 4))) (-.f64 (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4)) (/.f64 1/256 (pow.f64 a1 10))) (fma.f64 1/2 (+.f64 (/.f64 1/64 (.f64 (.f64 a1 a1) (pow.f64 a1 8))) (/.f64 (.f64 1/2 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (pow.f64 a1 4))) (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4)) (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2))))) (*.f64 (cos.f64 th) (pow.f64 a2 12))))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (.f64 a2 a2) (cos.f64 th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (*.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2))))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (/.f64 (.f64 (pow.f64 a2 4) 0) (/.f64 (*.f64 a1 a1) (cos.f64 th)))))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (/.f64 (.f64 (cos.f64 th) 0) (.f64 a1 a1)))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 0)
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2)) (/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 a1 6)) (.f64 1/8 (pow.f64 a1 6))) (cos.f64 th)) (pow.f64 a2 4)))))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (/.f64 (.f64 (pow.f64 a2 4) 0) (/.f64 (*.f64 a1 a1) (cos.f64 th)))))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (/.f64 (.f64 (cos.f64 th) 0) (.f64 a1 a1)))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 0)
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (.f64 a2 a2) (cos.f64 th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (*.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2))))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (/.f64 (.f64 (pow.f64 a2 4) 0) (/.f64 (*.f64 a1 a1) (cos.f64 th)))))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (/.f64 (.f64 (cos.f64 th) 0) (.f64 a1 a1)))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 0)
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2)) (/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 a1 6)) (.f64 1/8 (pow.f64 a1 6))) (cos.f64 th)) (pow.f64 a2 4)))))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (/.f64 (.f64 (pow.f64 a2 4) 0) (/.f64 (*.f64 a1 a1) (cos.f64 th)))))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (/.f64 (.f64 (cos.f64 th) 0) (.f64 a1 a1)))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) 0)
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a1 8)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(fma.f64 (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (/.f64 5/64 (pow.f64 a2 6))) (pow.f64 a1 8) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(fma.f64 (pow.f64 a1 8) (-.f64 (/.f64 5/64 (pow.f64 a2 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6)))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.f64 (pow.f64 a1 8) (+.f64 (neg.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2)) (.f64 (/.f64 1 (pow.f64 a2 6)) 1/64)) (fma.f64 a2 a2 (.f64 a1 a1)))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (pow.f64 a1 2))))
(fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (fma.f64 1/4 (/.f64 (pow.f64 a2 4) (.f64 a1 a1)) (.f64 a1 a1))))
(fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (.f64 a1 a1)) (fma.f64 a2 a2 (fma.f64 a1 a1 (/.f64 (pow.f64 a2 4) (/.f64 (.f64 a1 a1) 1/4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a1 2) (.f64 1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))))))))
(fma.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (fma.f64 1/4 (/.f64 (pow.f64 a2 4) (.f64 a1 a1)) (+.f64 (.f64 a1 a1) (*.f64 1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))))))))
(fma.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (.f64 a1 a1)) (fma.f64 a2 a2 (fma.f64 1/4 (/.f64 (pow.f64 a2 4) (.f64 a1 a1)) (fma.f64 a1 a1 (/.f64 (pow.f64 a2 6) (/.f64 (pow.f64 a1 4) 1/8)))))))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (pow.f64 a1 2))))
(fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (fma.f64 1/4 (/.f64 (pow.f64 a2 4) (.f64 a1 a1)) (.f64 a1 a1))))
(fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (.f64 a1 a1)) (fma.f64 a2 a2 (fma.f64 a1 a1 (/.f64 (pow.f64 a2 4) (/.f64 (.f64 a1 a1) 1/4)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a1 2) (.f64 1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))))))))
(fma.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (.f64 a1 a1)) (+.f64 (.f64 a2 a2) (fma.f64 1/4 (/.f64 (pow.f64 a2 4) (.f64 a1 a1)) (+.f64 (.f64 a1 a1) (*.f64 1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))))))))
(fma.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (.f64 a1 a1)) (fma.f64 a2 a2 (fma.f64 1/4 (/.f64 (pow.f64 a2 4) (.f64 a1 a1)) (fma.f64 a1 a1 (/.f64 (pow.f64 a2 6) (/.f64 (pow.f64 a1 4) 1/8)))))))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (pow.f64 a2 8)) (pow.f64 a1 2)))
(+.f64 (.f64 a2 a2) (fma.f64 (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (/.f64 5/64 (pow.f64 a1 6))) (pow.f64 a2 8) (.f64 a1 a1)))
(fma.f64 a2 a2 (fma.f64 a1 a1 (*.f64 (pow.f64 a2 8) (-.f64 (/.f64 5/64 (pow.f64 a1 6)) (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))))))
(fma.f64 a2 a2 (fma.f64 (pow.f64 a2 8) (-.f64 (.f64 (/.f64 1 (pow.f64 a1 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (.f64 a1 a1)))
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 1/4 (/.f64 (pow.f64 a1 4) (.f64 a2 a2)) (fma.f64 -1/4 (/.f64 (pow.f64 a1 4) (.f64 a2 a2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) 0))
(+.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 0)
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))))))))
(fma.f64 1/4 (/.f64 (pow.f64 a1 4) (.f64 a2 a2)) (fma.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a1 4) (.f64 a2 a2)) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (*.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))))))))
(fma.f64 1/4 (/.f64 (pow.f64 a1 4) (.f64 a2 a2)) (fma.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a1 4) (.f64 a2 a2)) (fma.f64 a2 a2 (fma.f64 a1 a1 (/.f64 1/8 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6))))))))
(fma.f64 1/4 (/.f64 (pow.f64 a1 4) (.f64 a2 a2)) (fma.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a1 4) (.f64 a2 a2)) (fma.f64 a2 a2 (fma.f64 a1 a1 (*.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))))))))
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 1/4 (/.f64 (pow.f64 a1 4) (.f64 a2 a2)) (fma.f64 -1/4 (/.f64 (pow.f64 a1 4) (.f64 a2 a2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) 0))
(+.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 0)
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))))))))
(fma.f64 1/4 (/.f64 (pow.f64 a1 4) (.f64 a2 a2)) (fma.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a1 4) (.f64 a2 a2)) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (*.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))))))))
(fma.f64 1/4 (/.f64 (pow.f64 a1 4) (.f64 a2 a2)) (fma.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a1 4) (.f64 a2 a2)) (fma.f64 a2 a2 (fma.f64 a1 a1 (/.f64 1/8 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6))))))))
(fma.f64 1/4 (/.f64 (pow.f64 a1 4) (.f64 a2 a2)) (fma.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a1 4) (.f64 a2 a2)) (fma.f64 a2 a2 (fma.f64 a1 a1 (*.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))))))))

eval1.3s (6.4%)

Compiler: Compiled 19310 to 12042 computations (37.6% saved)

prune188.0ms (0.9%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	835	20	855
Fresh	9	2	11
Picked	1	0	1
Done	2	2	4
Total	847	24	871

Error

Counts

871 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	25.2b	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
	28.2b	(/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2))
	39.5b	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	16.7b	(/.f64 1 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a1 a2)) 2))
	25.2b	(/.f64 1 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1))))
▶	28.5b	(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))))
	0.7b	(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	0.7b	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
	28.2b	(.f64 (pow.f64 2 -1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
	0.7b	(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
▶	28.2b	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓	0.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	28.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
	28.2b	(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
	28.5b	(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))
	25.2b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	0.7b	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	28.5b	(.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
	28.2b	(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))
▶	28.2b	(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
▶	39.5b	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
	43.1b	(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (.f64 th (.f64 th -1/2)))))
✓	27.9b	(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
	28.0b	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))

Compiler

Compiled 616 to 460 computations (25.3% saved)

localize21.0ms (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 (pow.f64 2 -1/2) (cos.f64 th))
✓	0.5b	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))

Compiler

Compiled 46 to 21 computations (54.3% saved)

series16.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	th	@	-inf	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
1.0ms	th	@	0	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
1.0ms	a2	@	inf	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
1.0ms	th	@	inf	(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
1.0ms	th	@	inf	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`prod-diff_binary64`
636×	`log-prod_binary64`
298×	`fma-def_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	281	25
2	3633	25

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 3)) (fma.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 (*.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 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.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 (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 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (+.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 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 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.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 (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 pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(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 a2 a1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (exp.f64 (*.f64 (cos.f64 th) (*.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 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 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 a2 a1) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 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 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 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 a2 a1) 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 a2 a1) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 fma.f64 (sqrt.f64 1/2) (*.f64 (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 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.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 (sqrt.f64 1/2) (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 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 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a1 (*.f64 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 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 fma.f64 1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 (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 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (*.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 fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (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 fma.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (*.f64 (cbrt.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 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (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 fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.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 (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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))) (cbrt.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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))) (cbrt.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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) (sqrt.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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (sqrt.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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 a1 (sqrt.f64 (*.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 fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a1) a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a1 a1) (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 fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))) (cbrt.f64 (*.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 fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.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 0 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))))) (#(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 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)))) (#(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 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)))) (#(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 log1p.f64 (expm1.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))))))

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

837×	`distribute-rgt-in_binary64`
820×	`distribute-lft-in_binary64`
502×	`distribute-lft-out_binary64`
488×	`unswap-sqr_binary64`
450×	`associate-+l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	958
1	148	884
2	437	838
3	1878	810
4	5156	806

Stop Event

1×	node limit

Counts

133 → 108

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 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))))
(.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))))
(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))

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
	0.5b	(/.f64 a2 (sqrt.f64 2))

Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`pow1_binary64`
576×	`add-log-exp_binary64`
576×	`log1p-expm1-u_binary64`
576×	`expm1-log1p-u_binary64`
564×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	127	9
2	1566	9

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify108.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

759×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`
423×	`*-commutative_binary64`
423×	`associate-*r/_binary64`
393×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	108
1	11	108
2	20	108
3	37	108
4	83	108
5	266	108
6	1091	108
7	3478	108
8	4280	108
9	4465	108
10	4681	108
11	5028	108
12	5456	108
13	5935	108
14	6584	108
15	7273	108

Stop Event

1×	node limit

Counts

32 → 22

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))

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
✓	0.3b	(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
	0.5b	(/.f64 a2 (sqrt.f64 2))

Compiler

Compiled 29 to 19 computations (34.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`pow1_binary64`
862×	`add-log-exp_binary64`
862×	`log1p-expm1-u_binary64`
862×	`expm1-log1p-u_binary64`
843×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	187	14
2	2333	14

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify100.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1132×	`unswap-sqr_binary64`
659×	`associate-*l/_binary64`
602×	`fma-def_binary64`
494×	`associate-*r/_binary64`
365×	`*-commutative_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	430
1	79	426
2	224	424
3	858	406
4	2724	387
5	4336	375
6	5653	375
7	5956	375
8	6184	375
9	6392	375

Stop Event

1×	node limit

Counts

43 → 29

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 15 computations (46.4% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`pow1_binary64`
860×	`add-log-exp_binary64`
860×	`log1p-expm1-u_binary64`
860×	`expm1-log1p-u_binary64`
839×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	187	23
2	2357	23

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify113.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1182×	`unswap-sqr_binary64`
731×	`associate-*l/_binary64`
623×	`fma-def_binary64`
541×	`associate-*r/_binary64`
384×	`*-commutative_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	34	538
1	82	534
2	228	532
3	871	514
4	2819	495
5	4560	483
6	6019	483
7	6321	483
8	6549	483
9	6756	483

Stop Event

1×	node limit

Counts

94 → 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 (*.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))

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

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 a1 a1) (cos.f64 th))
✓	0.3b	(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
✓	0.4b	(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))))

Compiler

Compiled 40 to 18 computations (55% saved)

series8.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`log-prod_binary64`
428×	`exp-prod_binary64`
325×	`pow-prod-down_binary64`
270×	`pow2_binary64`
218×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	228	37
2	2885	37

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (*.f64 1/2 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4))) (cbrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (sqrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 1) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) 1) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) 1) (/.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 1) (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (/.f64 (cos.f64 th) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (cbrt.f64 2)) (/.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (cbrt.f64 2)) (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/4) (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 (*.f64 a1 (cos.f64 th)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (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 a1 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (pow.f64 2 1/4)) (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 a1 (neg.f64 (*.f64 a1 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))) -2) (cbrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 -1/2) 1) (*.f64 a1 (*.f64 a1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 -1/2) a1) (*.f64 a1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 -1/2) (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4))) (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 a1 (sqrt.f64 (cos.f64 th)))) (*.f64 a1 (sqrt.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(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 (pow.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 2 1/4) (*.f64 a1 (sqrt.f64 (cos.f64 th)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6) (pow.f64 2 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))))) (#(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 log.f64 (exp.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6) (pow.f64 2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 (pow.f64 a1 -2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 (pow.f64 a1 -2) (cos.f64 th))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 (pow.f64 a1 -2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))) (cbrt.f64 (/.f64 2 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4))) (cbrt.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (pow.f64 2 1/6) (/.f64 (pow.f64 a1 -2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (*.f64 a1 (sqrt.f64 (cos.f64 th)))) (/.f64 (pow.f64 2 1/4) (*.f64 a1 (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 a1 -2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a1 (neg.f64 (*.f64 a1 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a1 -2) (cos.f64 th)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (/.f64 1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (pow.f64 2 1/6) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (*.f64 a1 a1)) (/.f64 (pow.f64 2 1/4) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a1) (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) a1) (/.f64 (pow.f64 2 1/6) (*.f64 a1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) a1) (/.f64 (pow.f64 2 1/4) (*.f64 a1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a1 -2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (*.f64 a1 a1)) (/.f64 (pow.f64 2 1/6) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (cos.f64 th)) (/.f64 (pow.f64 2 1/4) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 th)) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 2 1/6) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4))) (cbrt.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4))) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a1 (sqrt.f64 (cos.f64 th)))) (/.f64 (sqrt.f64 2) (*.f64 a1 (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (*.f64 a1 (sqrt.f64 (cos.f64 th)))) (/.f64 (pow.f64 2 1/6) (*.f64 a1 (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 2 1/4) (*.f64 a1 (sqrt.f64 (cos.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (neg.f64 (*.f64 a1 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 (pow.f64 a1 -2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) (*.f64 a1 (sqrt.f64 (cos.f64 th))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 -2) (cos.f64 th)))) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a1 (*.f64 a1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 a1 -2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))))))) (#(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 a1 (sqrt.f64 (cos.f64 th))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 3)))) (#(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 (/.f64 (pow.f64 a1 -2) (cos.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))))) 2)) (cbrt.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))))) (sqrt.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))))))))) (#(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 log.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 a1 -2) (cos.f64 th))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 1) 1))))))

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

568×	`cancel-sign-sub-inv_binary64`
502×	`times-frac_binary64`
361×	`fma-def_binary64`
310×	`associate-/r/_binary64`
308×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	1155
1	199	1140
2	671	1115
3	3161	1082

Stop Event

1×	node limit

Counts

232 → 190

Calls

Call 1

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

Outputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (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 a1 (sqrt.f64 2)) a1)
(+.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)))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 a1 a1) (.f64 th th)) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 th th)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(fma.f64 -1/2 (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(fma.f64 -1/2 (.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 th (.f64 a1 th))) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(+.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))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 a1 a1) (.f64 th th)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 th th)) (fma.f64 1/24 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(fma.f64 -1/2 (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 th th)) (fma.f64 1/24 (/.f64 (.f64 a1 (.f64 a1 (pow.f64 th 4))) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (+.f64 (.f64 th (.f64 th -1/2)) (.f64 1/24 (pow.f64 th 4)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 a1 a1) (.f64 th th)) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (fma.f64 1/24 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 th th)) (fma.f64 -1/720 (/.f64 (.f64 (.f64 (pow.f64 th 6) a1) a1) (sqrt.f64 2)) (fma.f64 1/24 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))))
(fma.f64 -1/2 (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 th th)) (fma.f64 1/24 (/.f64 (.f64 a1 (.f64 a1 (pow.f64 th 4))) (sqrt.f64 2)) (fma.f64 -1/720 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (pow.f64 th 6)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 th (.f64 a1 th))) (.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/720 (pow.f64 th 6))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
(+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (pow.f64 a1 2))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (.f64 a1 a1) (.f64 th th)))))
(fma.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 (/.f64 a1 th) (/.f64 a1 th))) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))
(fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) a1) (.f64 (/.f64 th a1) th)) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)))) (pow.f64 th 4))) (+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (pow.f64 a1 2)))))
(fma.f64 -1 (.f64 (pow.f64 th 4) (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) -5/24)) (+.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (.f64 a1 a1) (*.f64 th th))))))
(-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 (/.f64 a1 th) (/.f64 a1 th))) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (.f64 (pow.f64 th 4) (/.f64 (.f64 (sqrt.f64 2) -5/24) (*.f64 a1 a1))))
(fma.f64 (pow.f64 th 4) (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) 5/24) (fma.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 (/.f64 a1 th) (/.f64 a1 th))) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (-.f64 (.f64 (.f64 1/2 th) th) (.f64 (pow.f64 th 4) -5/24))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)))) (pow.f64 th 4))) (+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (pow.f64 a1 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))) (.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))))) (+.f64 (.f64 -1/720 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))) (*.f64 1/48 (/.f64 (sqrt.f64 2) (pow.f64 a1 2))))) (pow.f64 th 6))))))
(fma.f64 -1 (.f64 (pow.f64 th 4) (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) -5/24)) (+.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (fma.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (.f64 a1 a1) (.f64 th th))) (neg.f64 (.f64 (pow.f64 th 6) (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) -5/24) (.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) 7/360)))))))
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 (/.f64 a1 th) (/.f64 a1 th))) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (.f64 (pow.f64 th 6) (fma.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) 7/360 (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) -5/48)))) (.f64 (pow.f64 th 4) (/.f64 (.f64 (sqrt.f64 2) -5/24) (*.f64 a1 a1))))
(-.f64 (fma.f64 (pow.f64 th 4) (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) 5/24) (fma.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 (/.f64 a1 th) (/.f64 a1 th))) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))) (.f64 (pow.f64 th 6) (.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) -61/720)))
(+.f64 (fma.f64 (pow.f64 th 6) (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) 61/720) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (-.f64 (.f64 (.f64 1/2 th) th) (.f64 (pow.f64 th 4) -5/24))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.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)))
(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 (.f64 (.f64 th th) a1) a1) (.f64 a1 a1))
(.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a1 a1))
(.f64 a1 (+.f64 a1 (.f64 -1/2 (.f64 th (.f64 a1 th)))))
(+.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 (.f64 1/24 (*.f64 a1 a1)) (pow.f64 th 4)))
(fma.f64 -1/2 (.f64 (.f64 (.f64 th th) a1) a1) (fma.f64 a1 a1 (.f64 (pow.f64 th 4) (.f64 (.f64 a1 a1) 1/24))))
(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 th (.f64 th -1/2)) (+.f64 (*.f64 1/24 (pow.f64 th 4)) 1)))
(+.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 (.f64 1/24 (*.f64 a1 a1)) (pow.f64 th 4)))))
(fma.f64 -1/2 (.f64 (.f64 (.f64 th th) a1) a1) (fma.f64 -1/720 (.f64 (.f64 (pow.f64 th 6) a1) a1) (fma.f64 a1 a1 (.f64 (pow.f64 th 4) (.f64 (.f64 a1 a1) 1/24)))))
(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 th (.f64 th -1/2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6))))))
(*.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)))

eval326.0ms (1.6%)

Compiler: Compiled 8942 to 5501 computations (38.5% saved)

prune140.0ms (0.7%)

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	544	16	560
Fresh	7	10	17
Picked	0	1	1
Done	1	5	6
Total	552	32	584

Error

Counts

584 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	41.5b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	39.5b	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	39.5b	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	25.2b	(/.f64 1 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1))))
✓	28.5b	(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))))
▶	0.7b	(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
▶	39.5b	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
▶	44.9b	(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a1 (+.f64 a1 (.f64 -1/2 (.f64 th (.f64 a1 th)))))))
	41.6b	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	44.3b	(-.f64 (+.f64 1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1)
	28.2b	(.f64 (pow.f64 2 -1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
	0.7b	(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
✓	28.2b	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓	0.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	28.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
	28.5b	(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))
▶	41.5b	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	25.2b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	28.5b	(.f64 (.f64 (pow.f64 2 -1/2) a1) (*.f64 a1 (cos.f64 th)))
	42.3b	(.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (+.f64 1 (.f64 -1/2 (.f64 th th))))
▶	28.5b	(.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
	28.5b	(.f64 (.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
	25.2b	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	28.2b	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
✓	28.2b	(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
	39.5b	(*.f64 a2 (pow.f64 (/.f64 (sqrt.f64 2) a2) -1))
✓	39.5b	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
	39.5b	(.f64 a2 (.f64 (pow.f64 2 -1/2) a2))
	43.1b	(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (.f64 th (.f64 th -1/2)))))
✓	27.9b	(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
	28.0b	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
	39.5b	(.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) 2)))

Compiler

Compiled 733 to 556 computations (24.1% saved)

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 63 to 20 computations (68.3% saved)

series11.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`prod-diff_binary64`
712×	`log-prod_binary64`
275×	`fma-def_binary64`
248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	302	46
2	4128	46

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (/.f64 (/.f64 1 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))) (cbrt.f64 (/.f64 2 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (/.f64 1 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a2 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (/.f64 (/.f64 1 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 1 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (cos.f64 th)) (/.f64 (pow.f64 2 1/4) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 th)) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (cos.f64 th)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 (pow.f64 2 1/4) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 2)) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))) (/.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.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 (sqrt.f64 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 pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a2 a1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 2 -1/2)) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))))) (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))) 2) (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 2 -1/2)) (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))) (*.f64 (sqrt.f64 (pow.f64 2 -1/2)) (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 (/.f64 1 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2))) -1) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a2 a1)) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a2 a1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) 1) (/.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) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 1) (/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (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) (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 2) (cbrt.f64 2)) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (cbrt.f64 2)) (/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (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 (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 1 (pow.f64 2 1/4)) (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (pow.f64 2 1/4)) (/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th))) (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 -1/2) 1) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 2)) (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))) (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (pow.f64 2 -1/2)) (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 2 -1/2) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 1) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 3) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3)) (fma.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (-.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (cos.f64 th)) (+.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 a2 4) (pow.f64 a1 4)) (cos.f64 th)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (+.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 (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 pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (exp.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 th) (*.f64 a2 a2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 th) (*.f64 a1 a1) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a2 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a2 a2) (cos.f64 th) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a1 (*.f64 a1 (cos.f64 th)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 a1) (cos.f64 th) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (cbrt.f64 (cos.f64 th)) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (cbrt.f64 (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (cos.f64 th)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (cos.f64 th)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 1 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (cos.f64 th)) a2) (*.f64 (sqrt.f64 (cos.f64 th)) a2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (*.f64 a2 (sqrt.f64 (cos.f64 th))) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (cos.f64 th)) a1) (*.f64 (sqrt.f64 (cos.f64 th)) a1) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (*.f64 a1 (sqrt.f64 (cos.f64 th))) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 th) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a2 a2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 th) a1) a1 (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 th) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a1 a1) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))))

simplify122.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

690×	`fma-def_binary64`
607×	`times-frac_binary64`
480×	`associate-/l*_binary64`
412×	`associate-/r*_binary64`
368×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	3162
1	454	2957
2	1510	2759
3	7697	2759

Stop Event

1×	node limit

Counts

267 → 220

Calls

Call 1

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

Outputs
(/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 th th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 th th)) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (.f64 -1/4 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (pow.f64 th 4))) (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(fma.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 th th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fma.f64 -1 (.f64 (.f64 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) -5/24) (pow.f64 th 4)) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 th th)) (-.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (*.f64 -5/24 (pow.f64 th 4)))))
(fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 th th)) (fma.f64 (pow.f64 th 4) (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) 5/24) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (.f64 -1/4 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))) (+.f64 (.f64 -1/720 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (.f64 1/48 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))) (pow.f64 th 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (*.f64 -1/4 (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (pow.f64 th 4))) (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(fma.f64 -1 (.f64 (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) -5/24) (.f64 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) 7/360)) (pow.f64 th 6)) (fma.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 th th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (fma.f64 -1 (.f64 (.f64 (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) -5/24) (pow.f64 th 4)) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(fma.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) 7/360 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) -5/48))) (pow.f64 th 6) (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 th th)) (-.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 -5/24 (pow.f64 th 4))))))
(fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 th th)) (-.f64 (fma.f64 (pow.f64 th 4) (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))) 5/24) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1))) -61/720) (pow.f64 th 6))))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (cos.f64 th))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (*.f64 a1 a1))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 4)) (/.f64 (.f64 a2 a2) (cos.f64 th))) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (cos.f64 th)))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th)))) (/.f64 (.f64 a2 a2) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 4)) (sqrt.f64 2))))
(-.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a1 4) (sqrt.f64 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (.f64 (pow.f64 a1 6) (cos.f64 th))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 4)) (/.f64 (.f64 a2 a2) (cos.f64 th))) (+.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (cos.f64 th)) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))) (/.f64 (.f64 a2 a2) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 4)) (sqrt.f64 2))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (.f64 a1 a1))) (/.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a1 4) (sqrt.f64 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (.f64 (pow.f64 a1 6) (cos.f64 th))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 6)) (*.f64 (pow.f64 a1 8) (cos.f64 th)))))))
(fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 4)) (/.f64 (.f64 a2 a2) (cos.f64 th))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th))) (+.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (cos.f64 th)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 8)) (/.f64 (pow.f64 a2 6) (cos.f64 th)))))))
(-.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 8)) (/.f64 (pow.f64 a2 6) (cos.f64 th)))) (/.f64 (.f64 a2 a2) (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 4)) (sqrt.f64 2))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (.f64 a1 a1))) (.f64 (/.f64 -1 (cos.f64 th)) (+.f64 (.f64 (pow.f64 a2 6) (/.f64 (sqrt.f64 2) (pow.f64 a1 8))) (.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (pow.f64 a1 4))))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a2 a2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))
(/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4)))))
(fma.f64 -1 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 a1 a1)) (cos.f64 th)) (pow.f64 a2 4)) (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 a2) (cos.f64 th))))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (*.f64 a1 a1))) (pow.f64 a2 4)))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 a2 4)) (/.f64 (.f64 a1 a1) (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th)))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4)))) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (.f64 (pow.f64 a2 6) (cos.f64 th)))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 a2) (cos.f64 th))) (fma.f64 -1 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 a1 a1)) (cos.f64 th)) (pow.f64 a2 4)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (*.f64 a1 a1))) (pow.f64 a2 4)))
(+.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th)) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (*.f64 (/.f64 a1 (pow.f64 a2 4)) a1))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4)))) (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 6)) (.f64 (cos.f64 th) (pow.f64 a2 8)))) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (*.f64 (cos.f64 th) (pow.f64 a2 6))))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 a2) (cos.f64 th))) (fma.f64 -1 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 a1 a1)) (cos.f64 th)) (pow.f64 a2 4)) (fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6))))))
(-.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 8)) (/.f64 (pow.f64 a1 6) (cos.f64 th)))) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 a1 a1))) (pow.f64 a2 4)))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 (*.f64 (/.f64 a1 (pow.f64 a2 4)) a1) (/.f64 (pow.f64 a1 6) (pow.f64 a2 8)))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a2 a2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))
(/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4)))))
(fma.f64 -1 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 a1 a1)) (cos.f64 th)) (pow.f64 a2 4)) (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 a2) (cos.f64 th))))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (*.f64 a1 a1))) (pow.f64 a2 4)))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 a2 4)) (/.f64 (.f64 a1 a1) (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th)))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4)))) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (.f64 (pow.f64 a2 6) (cos.f64 th)))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 a2) (cos.f64 th))) (fma.f64 -1 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 a1 a1)) (cos.f64 th)) (pow.f64 a2 4)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (*.f64 a1 a1))) (pow.f64 a2 4)))
(+.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th)) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (*.f64 (/.f64 a1 (pow.f64 a2 4)) a1))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (cos.f64 th) (pow.f64 a2 4)))) (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 6)) (.f64 (cos.f64 th) (pow.f64 a2 8)))) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (*.f64 (cos.f64 th) (pow.f64 a2 6))))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 a2) (cos.f64 th))) (fma.f64 -1 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 a1 a1)) (cos.f64 th)) (pow.f64 a2 4)) (fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6))))))
(-.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 8)) (/.f64 (pow.f64 a1 6) (cos.f64 th)))) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 a1 a1))) (pow.f64 a2 4)))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 (*.f64 (/.f64 a1 (pow.f64 a2 4)) a1) (/.f64 (pow.f64 a1 6) (pow.f64 a2 8)))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 (.f64 a2 a2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))
(/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) (cos.f64 th))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (pow.f64 a2 4) (cos.f64 th)))) (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))))
(fma.f64 -1 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 a1 a1)) (cos.f64 th)) (pow.f64 a2 4)) (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 a2) (cos.f64 th))))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th)))) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (*.f64 a1 a1))) (pow.f64 a2 4)))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 a2 4)) (/.f64 (.f64 a1 a1) (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (pow.f64 a2 4) (cos.f64 th)))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (.f64 (cos.f64 th) (pow.f64 a2 6)))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 a2) (cos.f64 th))) (fma.f64 -1 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 a1 a1)) (cos.f64 th)) (pow.f64 a2 4)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (*.f64 a1 a1))) (pow.f64 a2 4)))
(+.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th)) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (*.f64 (/.f64 a1 (pow.f64 a2 4)) a1))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (pow.f64 a2 4) (cos.f64 th)))) (+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 6)) (.f64 (pow.f64 a2 8) (cos.f64 th)))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 2))) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 4)) (*.f64 (pow.f64 a2 6) (cos.f64 th))))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 a2) (cos.f64 th))) (fma.f64 -1 (/.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 a1 a1)) (cos.f64 th)) (pow.f64 a2 4)) (fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 6) (pow.f64 a2 8))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6))))))
(-.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (cos.f64 th))))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 8)) (/.f64 (pow.f64 a1 6) (cos.f64 th)))) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (.f64 a1 a1))) (pow.f64 a2 4)))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (/.f64 (pow.f64 a1 4) (pow.f64 a2 6)) (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (cos.f64 th))) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 (*.f64 (/.f64 a1 (pow.f64 a2 4)) a1) (/.f64 (pow.f64 a1 6) (pow.f64 a2 8)))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (cos.f64 th))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (*.f64 a1 a1))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 4)) (/.f64 (.f64 a2 a2) (cos.f64 th))) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (cos.f64 th)))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th)))) (/.f64 (.f64 a2 a2) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 4)) (sqrt.f64 2))))
(-.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a1 4) (sqrt.f64 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (.f64 (pow.f64 a1 6) (cos.f64 th))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 4)) (/.f64 (.f64 a2 a2) (cos.f64 th))) (+.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (cos.f64 th)) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))) (/.f64 (.f64 a2 a2) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 4)) (sqrt.f64 2))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (.f64 a1 a1))) (/.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a1 4) (sqrt.f64 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (.f64 (pow.f64 a1 6) (cos.f64 th))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 6)) (*.f64 (pow.f64 a1 8) (cos.f64 th)))))))
(fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 4)) (/.f64 (.f64 a2 a2) (cos.f64 th))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th))) (+.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (cos.f64 th)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 8)) (/.f64 (pow.f64 a2 6) (cos.f64 th)))))))
(-.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 8)) (/.f64 (pow.f64 a2 6) (cos.f64 th)))) (/.f64 (.f64 a2 a2) (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 4)) (sqrt.f64 2))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (.f64 a1 a1))) (.f64 (/.f64 -1 (cos.f64 th)) (+.f64 (.f64 (pow.f64 a2 6) (/.f64 (sqrt.f64 2) (pow.f64 a1 8))) (.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (pow.f64 a1 4))))))
(/.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (cos.f64 th))
(/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))
(/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (*.f64 a1 a1))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 4)) (/.f64 (.f64 a2 a2) (cos.f64 th))) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (cos.f64 th)))
(-.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th)))) (/.f64 (.f64 a2 a2) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 4)) (sqrt.f64 2))))
(-.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a1 4) (sqrt.f64 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (.f64 (pow.f64 a1 6) (cos.f64 th))) (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 4)) (/.f64 (.f64 a2 a2) (cos.f64 th))) (+.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (cos.f64 th)) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))) (/.f64 (.f64 a2 a2) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 4)) (sqrt.f64 2))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (.f64 a1 a1))) (/.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a1 4) (sqrt.f64 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 4) (cos.f64 th)))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (.f64 (pow.f64 a1 6) (cos.f64 th))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 6)) (*.f64 (pow.f64 a1 8) (cos.f64 th)))))))
(fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 4)) (/.f64 (.f64 a2 a2) (cos.f64 th))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th))) (+.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (cos.f64 th)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 8)) (/.f64 (pow.f64 a2 6) (cos.f64 th)))))))
(-.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (cos.f64 th))))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 8)) (/.f64 (pow.f64 a2 6) (cos.f64 th)))) (/.f64 (.f64 a2 a2) (/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 4)) (sqrt.f64 2))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 6)) (/.f64 (pow.f64 a2 4) (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (.f64 a1 a1))) (.f64 (/.f64 -1 (cos.f64 th)) (+.f64 (.f64 (pow.f64 a2 6) (/.f64 (sqrt.f64 2) (pow.f64 a1 8))) (.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (pow.f64 a1 4))))))
(/.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)))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (fma.f64 -1/2 (.f64 (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.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 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))) (.f64 1/24 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (fma.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2))) (.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 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))) (.f64 1/24 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4))))))))
(+.f64 (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (/.f64 (sqrt.f64 2) -1/2)))) (fma.f64 -1/720 (.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (fma.f64 -1/720 (.f64 (pow.f64 th 6) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2))) (fma.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2))) (fma.f64 -1/2 (.f64 (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(+.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 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.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 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.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 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(+.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 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.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 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.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 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 -1/2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 th th)))))
(fma.f64 a2 a2 (fma.f64 -1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (.f64 a1 a1)))
(.f64 (+.f64 (.f64 th (.f64 th -1/2)) 1) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (fma.f64 -1/2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 th th)) (.f64 1/24 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (pow.f64 th 4))))))
(fma.f64 a2 a2 (fma.f64 a1 a1 (fma.f64 1/24 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 th th) -1/2)))))
(fma.f64 a2 a2 (fma.f64 a1 a1 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (+.f64 (.f64 th (.f64 th -1/2)) (*.f64 1/24 (pow.f64 th 4))))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))) (.f64 -1/720 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))))))
(+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (fma.f64 -1/2 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 th th)) (fma.f64 1/24 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (pow.f64 th 4)) (.f64 -1/720 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (pow.f64 th 6)))))))
(fma.f64 a2 a2 (fma.f64 a1 a1 (fma.f64 -1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (fma.f64 1/24 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (pow.f64 th 6) -1/720))))))
(+.f64 (.f64 (+.f64 (.f64 th (.f64 th -1/2)) 1) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/720 (pow.f64 th 6)))))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 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 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (.f64 a2 a2) (cos.f64 th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (.f64 a2 a2) (cos.f64 th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (.f64 a2 a2) (cos.f64 th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 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 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 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 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))

localize9.0ms (0%)

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)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`pow1_binary64`
576×	`add-log-exp_binary64`
576×	`log1p-expm1-u_binary64`
576×	`expm1-log1p-u_binary64`
564×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	127	15
2	1566	15

Stop Event

1×	node limit

Counts

2 → 50

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

simplify110.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

759×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`
423×	`*-commutative_binary64`
423×	`associate-*r/_binary64`
393×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	108
1	11	108
2	20	108
3	37	108
4	83	108
5	266	108
6	1091	108
7	3478	108
8	4280	108
9	4465	108
10	4681	108
11	5028	108
12	5456	108
13	5935	108
14	6584	108
15	7273	108

Stop Event

1×	node limit

Counts

62 → 52

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))

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
✓	0.7b	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))

Compiler

Compiled 25 to 16 computations (36% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`pow1_binary64`
708×	`add-log-exp_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`
690×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	168	18
2	2072	18

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

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

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

simplify133.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

759×	`sqr-pow_binary64`
436×	`cube-prod_binary64`
434×	`unswap-sqr_binary64`
423×	`*-commutative_binary64`
423×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	216
1	12	216
2	22	216
3	40	216
4	91	216
5	286	216
6	1137	216
7	3130	216
8	3932	216
9	4117	216
10	4333	216
11	4674	216
12	5101	216
13	5580	216
14	6229	216
15	6918	216
16	7753	216

Stop Event

1×	node limit

Counts

93 → 73

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 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -1/2 (.f64 th (*.f64 a1 th)))
✓	0.3b	(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a1 (+.f64 a1 (.f64 -1/2 (.f64 th (.f64 a1 th)))))))
✓	0.9b	(/.f64 (sqrt.f64 2) (.f64 a1 (+.f64 a1 (.f64 -1/2 (.f64 th (.f64 a1 th))))))
✓	2.4b	(.f64 a1 (+.f64 a1 (.f64 -1/2 (.f64 th (.f64 a1 th)))))

Compiler

Compiled 75 to 35 computations (53.3% saved)

series21.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	th	@	-inf	(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a1 (+.f64 a1 (.f64 -1/2 (.f64 th (.f64 a1 th)))))))
1.0ms	a1	@	0	(.f64 a1 (+.f64 a1 (.f64 -1/2 (.f64 th (.f64 a1 th)))))
1.0ms	a1	@	0	(/.f64 (sqrt.f64 2) (.f64 a1 (+.f64 a1 (.f64 -1/2 (.f64 th (.f64 a1 th))))))
1.0ms	a1	@	-inf	(.f64 a1 (+.f64 a1 (.f64 -1/2 (.f64 th (.f64 a1 th)))))
1.0ms	th	@	inf	(/.f64 (sqrt.f64 2) (.f64 a1 (+.f64 a1 (.f64 -1/2 (.f64 th (.f64 a1 th))))))

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

778×	`log-prod_binary64`
371×	`pow2_binary64`
343×	`fma-def_binary64`
263×	`pow1/3_binary64`
255×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	306	62
2	4153	62

Stop Event

1×	node limit

Counts

4 → 179

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a1 a1) (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a1 a1) 1) (.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a1 a1) 3) (pow.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)) 3)) (+.f64 (pow.f64 (.f64 a1 a1) 2) (-.f64 (pow.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)) 2) (.f64 (.f64 a1 a1) (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 a1 a1) 2) (pow.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)) 2)) (-.f64 (.f64 a1 a1) (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (pow.f64 (.f64 a1 (.f64 th th)) 3) -1/8 (pow.f64 a1 3)) a1) (-.f64 (fma.f64 a1 a1 (pow.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)) 2)) (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 a1 a1) (pow.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)) 2)) a1) (-.f64 a1 (.f64 (.f64 a1 th) (.f64 -1/2 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a1 (fma.f64 (pow.f64 (.f64 a1 (.f64 th th)) 3) -1/8 (pow.f64 a1 3))) (-.f64 (fma.f64 a1 a1 (pow.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)) 2)) (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a1 (-.f64 (.f64 a1 a1) (pow.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)) 2))) (-.f64 a1 (.f64 (.f64 a1 th) (.f64 -1/2 th))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 a1 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 a1 3) (pow.f64 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1) 3) (pow.f64 a1 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))) (exp.f64 (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 a1 3) (pow.f64 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1) 3) (pow.f64 a1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a1 a1 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a1 (.f64 (.f64 a1 th) (.f64 -1/2 th)) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (pow.f64 (.f64 a1 th) 2) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a1 (.f64 th th)) (.f64 -1/2 a1) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)) a1 (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a1 a1) (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 a1 th) 2) -1/2 (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a1 a1) 1 (.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (cbrt.f64 a1) a1) (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (cbrt.f64 a1) (.f64 (.f64 a1 th) (.f64 -1/2 th))) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th))) 2) (.f64 (cbrt.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th))) a1) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a1) (.f64 (sqrt.f64 a1) a1) (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a1) (.f64 (sqrt.f64 a1) (.f64 (.f64 a1 th) (.f64 -1/2 th))) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th))) (.f64 (sqrt.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th))) a1) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/2 th) (.f64 (.f64 a1 th) a1) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1) (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 a1 a1)) 2) (cbrt.f64 (.f64 a1 a1)) (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))) 2) (cbrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))) (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th))) (sqrt.f64 a1)) (.f64 (sqrt.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th))) (sqrt.f64 a1)) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 a1) (sqrt.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)))) (.f64 (sqrt.f64 a1) (sqrt.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)))) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a1 (cbrt.f64 (.f64 a1 a1))) (cbrt.f64 a1) (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)) (cbrt.f64 (.f64 a1 a1))) (cbrt.f64 a1) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)) (sqrt.f64 a1)) (sqrt.f64 a1) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a1 -1/2) (.f64 a1 (.f64 th th)) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a1 (pow.f64 (cbrt.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th))) 2)) (cbrt.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th))) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a1 (sqrt.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)))) (sqrt.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th))) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a1 (.f64 -1/2 th)) (.f64 a1 th) (.f64 a1 a1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) (/.f64 (/.f64 1 a1) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (/.f64 1 a1) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))) (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) 2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (/.f64 (/.f64 1 a1) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) (hypot.f64 a1 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))))) (/.f64 (pow.f64 2 1/4) (hypot.f64 a1 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (.f64 a1 (neg.f64 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 a1) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 2) a1) (/.f64 1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a1) (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) a1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) a1) (/.f64 (pow.f64 2 1/4) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) (/.f64 (pow.f64 2 1/4) a1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) (/.f64 (cbrt.f64 (sqrt.f64 2)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 a1 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))))) (/.f64 (sqrt.f64 2) (hypot.f64 a1 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) (hypot.f64 a1 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (hypot.f64 a1 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sqrt.f64 2) a1) (fma.f64 (pow.f64 (.f64 a1 (.f64 th th)) 3) -1/8 (pow.f64 a1 3))) (-.f64 (fma.f64 a1 a1 (pow.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)) 2)) (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sqrt.f64 2) a1) (-.f64 (.f64 a1 a1) (pow.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)) 2))) (-.f64 a1 (.f64 (.f64 a1 th) (.f64 -1/2 th))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 2 1/4) (hypot.f64 a1 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (neg.f64 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2 (pow.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a1 a1) (pow.f64 2 -1/2)) (.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 2 -1/2) (.f64 a1 a1)) (.f64 (pow.f64 2 -1/2) (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))) (pow.f64 (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))) 2) (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))) (sqrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 -1/2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 -1/2) (/.f64 1 (/.f64 (/.f64 1 a1) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a1 1) (/.f64 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1) 1) (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 2) 1) (/.f64 (cbrt.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 a1 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))) 1) (/.f64 (hypot.f64 a1 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1) (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 2) (cbrt.f64 2)) (/.f64 (cbrt.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 a1 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))) (cbrt.f64 2)) (/.f64 (hypot.f64 a1 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1) (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 a1 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a1 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (.f64 a1 (neg.f64 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) 2)))) (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 2 -1/2) a1) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 2 -1/2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) a1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 2 -1/2) 1) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 2 -1/2) (pow.f64 (cbrt.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 2)) (cbrt.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 2 -1/2) (hypot.f64 a1 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2))))) (hypot.f64 a1 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) 3) (.f64 2 (sqrt.f64 2))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 a1 (sqrt.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)))) (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)) 3) (.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 (.f64 -1/2 th) a1) th a1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a1 a1) (pow.f64 2 -1/2) (.f64 (.f64 -1/2 (pow.f64 (.f64 a1 th) 2)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 -1/2) (.f64 a1 a1) (.f64 (pow.f64 2 -1/2) (.f64 -1/2 (pow.f64 (*.f64 a1 th) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 a1 th) (.f64 -1/2 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 a1) th) th) -1/2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 a1) th) th) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 a1) th) th) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 a1) th) th) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 a1) th) th) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 a1 th) (.f64 -1/2 th))) 1))))))

simplify112.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

634×	`associate-*l/_binary64`
493×	`associate-/l/_binary64`
451×	`associate-/r/_binary64`
386×	`associate-*r/_binary64`
304×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	1854
1	193	1748
2	610	1680
3	2626	1626
4	6698	1626

Stop Event

1×	node limit

Counts

275 → 217

Calls

Call 1

Inputs
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 -1 (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1)))
(.f64 -1 (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1)))
(.f64 -1 (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1)))
(.f64 -1 (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1)))
(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))) (pow.f64 a1 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 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))) (pow.f64 a1 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 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))) (pow.f64 a1 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)))
(.f64 -1 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1))))
(.f64 -1 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1))))
(.f64 -1 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1))))
(.f64 -1 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1))))
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (pow.f64 a1 2))))
(+.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 4)) (pow.f64 a1 2))) (+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (pow.f64 a1 2)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 6)) (pow.f64 a1 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 4)) (pow.f64 a1 2))) (+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (pow.f64 a1 2))))))
(.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 2))))
(+.f64 (.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))))
(+.f64 (.f64 -8 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 6)))) (+.f64 (.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 4))))))
(+.f64 (.f64 -8 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 6)))) (+.f64 (.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (+.f64 (.f64 -16 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 8)))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))))))
(.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 2))))
(+.f64 (.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))))
(+.f64 (.f64 -8 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 6)))) (+.f64 (.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 4))))))
(+.f64 (.f64 -8 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 6)))) (+.f64 (.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (+.f64 (.f64 -16 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 8)))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))))))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1)) (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 (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 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 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 (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 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 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 (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 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))

Outputs
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 -1 (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 -1 (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 -1 (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 -1 (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2)))
(.f64 -1/2 (.f64 (.f64 th th) (.f64 a1 a1)))
(.f64 -1/2 (.f64 th (.f64 th (.f64 a1 a1))))
(.f64 th (.f64 -1/2 (.f64 th (.f64 a1 a1))))
(.f64 (.f64 th th) (.f64 -1/2 (.f64 a1 a1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2)))
(.f64 -1/2 (.f64 (.f64 th th) (.f64 a1 a1)))
(.f64 -1/2 (.f64 th (.f64 th (.f64 a1 a1))))
(.f64 th (.f64 -1/2 (.f64 th (.f64 a1 a1))))
(.f64 (.f64 th th) (.f64 -1/2 (.f64 a1 a1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)))
(/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (fma.f64 -1/2 (.f64 th th) 1))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)))
(/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (fma.f64 -1/2 (.f64 th th) 1))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)))
(/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (fma.f64 -1/2 (.f64 th th) 1))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)))
(/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (fma.f64 -1/2 (.f64 th th) 1))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)))
(/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (fma.f64 -1/2 (.f64 th th) 1))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)))
(/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (fma.f64 -1/2 (.f64 th th) 1))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)))
(/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (fma.f64 -1/2 (.f64 th th) 1))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)))
(/.f64 (sqrt.f64 2) (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)))
(/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (fma.f64 -1/2 (.f64 th th) 1))
(.f64 -1 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1))))
(neg.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (fma.f64 1/2 (*.f64 th th) -1))))
(/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a1 (.f64 a1 (fma.f64 (*.f64 th th) 1/2 -1))))
(/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a1 (.f64 a1 (fma.f64 th (*.f64 th 1/2) -1))))
(/.f64 (neg.f64 (sqrt.f64 2)) (.f64 (.f64 a1 a1) (fma.f64 th (*.f64 th 1/2) -1)))
(.f64 -1 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1))))
(neg.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (fma.f64 1/2 (*.f64 th th) -1))))
(/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a1 (.f64 a1 (fma.f64 (*.f64 th th) 1/2 -1))))
(/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a1 (.f64 a1 (fma.f64 th (*.f64 th 1/2) -1))))
(/.f64 (neg.f64 (sqrt.f64 2)) (.f64 (.f64 a1 a1) (fma.f64 th (*.f64 th 1/2) -1)))
(.f64 -1 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1))))
(neg.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (fma.f64 1/2 (*.f64 th th) -1))))
(/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a1 (.f64 a1 (fma.f64 (*.f64 th th) 1/2 -1))))
(/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a1 (.f64 a1 (fma.f64 th (*.f64 th 1/2) -1))))
(/.f64 (neg.f64 (sqrt.f64 2)) (.f64 (.f64 a1 a1) (fma.f64 th (*.f64 th 1/2) -1)))
(.f64 -1 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1))))
(neg.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (fma.f64 1/2 (*.f64 th th) -1))))
(/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a1 (.f64 a1 (fma.f64 (*.f64 th th) 1/2 -1))))
(/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a1 (.f64 a1 (fma.f64 th (*.f64 th 1/2) -1))))
(/.f64 (neg.f64 (sqrt.f64 2)) (.f64 (.f64 a1 a1) (fma.f64 th (*.f64 th 1/2) -1)))
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
(+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (pow.f64 a1 2))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (.f64 a1 a1) (.f64 th th)))))
(fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 th th)) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))
(fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))
(+.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 4)) (pow.f64 a1 2))) (+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (pow.f64 a1 2)))))
(fma.f64 1/4 (/.f64 (sqrt.f64 2) (/.f64 (.f64 a1 a1) (pow.f64 th 4))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (.f64 a1 a1) (*.f64 th th))))))
(fma.f64 1/4 (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (pow.f64 th 4)) (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 th th)) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))
(fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (fma.f64 (/.f64 1/4 a1) (/.f64 (sqrt.f64 2) (/.f64 a1 (pow.f64 th 4))) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (+.f64 (.f64 th (.f64 th 1/2)) (.f64 1/4 (pow.f64 th 4)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 6)) (pow.f64 a1 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 4)) (pow.f64 a1 2))) (+.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (pow.f64 a1 2))))))
(fma.f64 1/8 (/.f64 (sqrt.f64 2) (/.f64 (.f64 a1 a1) (pow.f64 th 6))) (fma.f64 1/4 (/.f64 (sqrt.f64 2) (/.f64 (.f64 a1 a1) (pow.f64 th 4))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (.f64 a1 a1) (.f64 th th)))))))
(fma.f64 1/8 (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (pow.f64 th 6)) (fma.f64 1/4 (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (pow.f64 th 4)) (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 th th)) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))))
(fma.f64 1/4 (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (pow.f64 th 4)) (fma.f64 1/8 (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (pow.f64 th 6)) (fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))))
(+.f64 (fma.f64 1/4 (/.f64 (sqrt.f64 2) (.f64 (/.f64 a1 (pow.f64 th 4)) a1)) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (+.f64 (.f64 th (.f64 th 1/2)) (*.f64 1/8 (pow.f64 th 6)))))
(.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 2))))
(.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (.f64 a1 a1))))
(.f64 -2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (*.f64 th th)))
(.f64 -2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 th th)) (*.f64 a1 a1)))
(.f64 (/.f64 (sqrt.f64 2) (.f64 (*.f64 th th) a1)) (/.f64 -2 a1))
(+.f64 (.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))))
(fma.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (.f64 a1 a1))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (pow.f64 th 4)))))
(fma.f64 -2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 th th)) (/.f64 (/.f64 (.f64 (sqrt.f64 2) -4) (pow.f64 th 4)) (.f64 a1 a1)))
(.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (+.f64 (/.f64 -2 (*.f64 th th)) (/.f64 -4 (pow.f64 th 4))))
(.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (+.f64 (/.f64 -4 (pow.f64 th 4)) (/.f64 -2 (*.f64 th th))))
(+.f64 (.f64 -8 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 6)))) (+.f64 (.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 4))))))
(fma.f64 -8 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (pow.f64 th 6))) (fma.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (.f64 a1 a1))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (pow.f64 th 4))))))
(fma.f64 -8 (/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (pow.f64 th 6)))) (fma.f64 -2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 th th)) (/.f64 (/.f64 (.f64 (sqrt.f64 2) -4) (pow.f64 th 4)) (.f64 a1 a1))))
(fma.f64 -2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 th th)) (.f64 a1 a1)) (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (+.f64 (/.f64 -4 (pow.f64 th 4)) (/.f64 -8 (pow.f64 th 6)))))
(.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (+.f64 (/.f64 -2 (*.f64 th th)) (+.f64 (/.f64 -4 (pow.f64 th 4)) (/.f64 -8 (pow.f64 th 6)))))
(+.f64 (.f64 -8 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 6)))) (+.f64 (.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (+.f64 (.f64 -16 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 8)))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))))))
(fma.f64 -8 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (pow.f64 th 6))) (fma.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (.f64 a1 a1))) (fma.f64 -16 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (pow.f64 th 8))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (pow.f64 th 4)))))))
(fma.f64 -8 (/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (pow.f64 th 6)))) (fma.f64 -2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 th th)) (fma.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (pow.f64 th 4))) (.f64 -16 (/.f64 (sqrt.f64 2) (.f64 (*.f64 a1 a1) (pow.f64 th 8)))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (+.f64 (/.f64 -16 (pow.f64 th 8)) (/.f64 -4 (pow.f64 th 4)))) (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (+.f64 (/.f64 -2 (*.f64 th th)) (/.f64 -8 (pow.f64 th 6)))))
(.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (+.f64 (+.f64 (/.f64 -8 (pow.f64 th 6)) (/.f64 -2 (*.f64 th th))) (+.f64 (/.f64 -16 (pow.f64 th 8)) (/.f64 -4 (pow.f64 th 4)))))
(.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 2))))
(.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (.f64 a1 a1))))
(.f64 -2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (*.f64 th th)))
(.f64 -2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 th th)) (*.f64 a1 a1)))
(.f64 (/.f64 (sqrt.f64 2) (.f64 (*.f64 th th) a1)) (/.f64 -2 a1))
(+.f64 (.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))))
(fma.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (.f64 a1 a1))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (pow.f64 th 4)))))
(fma.f64 -2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 th th)) (/.f64 (/.f64 (.f64 (sqrt.f64 2) -4) (pow.f64 th 4)) (.f64 a1 a1)))
(.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (+.f64 (/.f64 -2 (*.f64 th th)) (/.f64 -4 (pow.f64 th 4))))
(.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (+.f64 (/.f64 -4 (pow.f64 th 4)) (/.f64 -2 (*.f64 th th))))
(+.f64 (.f64 -8 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 6)))) (+.f64 (.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 4))))))
(fma.f64 -8 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (pow.f64 th 6))) (fma.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (.f64 a1 a1))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (pow.f64 th 4))))))
(fma.f64 -8 (/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (pow.f64 th 6)))) (fma.f64 -2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 th th)) (/.f64 (/.f64 (.f64 (sqrt.f64 2) -4) (pow.f64 th 4)) (.f64 a1 a1))))
(fma.f64 -2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 th th)) (.f64 a1 a1)) (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (+.f64 (/.f64 -4 (pow.f64 th 4)) (/.f64 -8 (pow.f64 th 6)))))
(.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (+.f64 (/.f64 -2 (*.f64 th th)) (+.f64 (/.f64 -4 (pow.f64 th 4)) (/.f64 -8 (pow.f64 th 6)))))
(+.f64 (.f64 -8 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 6)))) (+.f64 (.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (+.f64 (.f64 -16 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 8)))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (pow.f64 th 4)))))))
(fma.f64 -8 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (pow.f64 th 6))) (fma.f64 -2 (/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (.f64 a1 a1))) (fma.f64 -16 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (pow.f64 th 8))) (.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (pow.f64 th 4)))))))
(fma.f64 -8 (/.f64 (sqrt.f64 2) (.f64 a1 (.f64 a1 (pow.f64 th 6)))) (fma.f64 -2 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (.f64 th th)) (fma.f64 -4 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (pow.f64 th 4))) (.f64 -16 (/.f64 (sqrt.f64 2) (.f64 (*.f64 a1 a1) (pow.f64 th 8)))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (+.f64 (/.f64 -16 (pow.f64 th 8)) (/.f64 -4 (pow.f64 th 4)))) (.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (+.f64 (/.f64 -2 (*.f64 th th)) (/.f64 -8 (pow.f64 th 6)))))
(.f64 (/.f64 (sqrt.f64 2) (.f64 a1 a1)) (+.f64 (+.f64 (/.f64 -8 (pow.f64 th 6)) (/.f64 -2 (*.f64 th th))) (+.f64 (/.f64 -16 (pow.f64 th 8)) (/.f64 -4 (pow.f64 th 4)))))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (*.f64 1/2 (pow.f64 th 2)) 1)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(/.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 -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 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (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 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (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 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))))
(.f64 -1/2 (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 th th)))
(.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) (.f64 th (*.f64 a1 a1)))))
(.f64 -1/2 (.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (.f64 th th) a1)))
(+.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 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (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 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (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 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))))
(.f64 -1/2 (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 th th)))
(.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) (.f64 th (*.f64 a1 a1)))))
(.f64 -1/2 (.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (.f64 th th) a1)))
(+.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 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (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 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (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 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 2)) (*.f64 a1 a1))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (*.f64 th th) 1))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))
(.f64 -1/2 (.f64 a1 (pow.f64 th 2)))
(.f64 -1/2 (.f64 (*.f64 th th) a1))
(.f64 -1/2 (.f64 th (*.f64 th a1)))

localize28.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

931×	`pow1_binary64`
861×	`add-log-exp_binary64`
861×	`log1p-expm1-u_binary64`
861×	`expm1-log1p-u_binary64`
842×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	187	23
2	2330	23

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

simplify127.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1132×	`unswap-sqr_binary64`
659×	`associate-*l/_binary64`
607×	`fma-def_binary64`
494×	`associate-*r/_binary64`
371×	`*-commutative_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	532
1	83	532
2	230	532
3	856	514
4	2738	495
5	4352	483
6	5669	483
7	5975	483
8	6203	483
9	6412	483

Stop Event

1×	node limit

Counts

73 → 47

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

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

eval484.0ms (2.3%)

Compiler: Compiled 12862 to 8360 computations (35% saved)

prune249.0ms (1.2%)

Pruning

40 alts after pruning (30 fresh and 10 done)

	Pruned	Kept	Total
New	680	17	697
Fresh	8	13	21
Picked	0	1	1
Done	1	9	10
Total	689	40	729

Error

Counts

729 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	39.5b	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	41.5b	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	39.5b	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	41.5b	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	25.2b	(/.f64 1 (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1))))
	57.9b	(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (.f64 -1/2 (.f64 a1 a1)))))
✓	0.7b	(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
✓	39.5b	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓	44.9b	(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a1 (+.f64 a1 (.f64 -1/2 (.f64 th (.f64 a1 th)))))))
	39.5b	(/.f64 1 (*.f64 (pow.f64 a2 -2) (sqrt.f64 2)))
	46.3b	(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
	41.6b	(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
	28.2b	(.f64 (pow.f64 2 -1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
	39.5b	(.f64 (pow.f64 2 -1/2) (.f64 a2 a2))
	0.7b	(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
✓	28.2b	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓	0.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	28.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
✓	41.5b	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	39.5b	(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a2)) a2)
	25.2b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	39.5b	(.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (.f64 a2 (neg.f64 a2)))
	46.1b	(*.f64 (-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1) a1)
	28.5b	(.f64 (.f64 (pow.f64 2 -1/2) a1) (*.f64 a1 (cos.f64 th)))
	41.5b	(.f64 (.f64 (pow.f64 2 -1/2) a1) a1)
	42.3b	(.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (+.f64 1 (.f64 -1/2 (.f64 th th))))
	44.6b	(.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (.f64 th (.f64 th -1/2))))
✓	28.5b	(.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
	28.5b	(.f64 (.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
	54.6b	(.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1)
	25.2b	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	28.2b	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
✓	28.2b	(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
✓	39.5b	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
	43.1b	(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (.f64 th (.f64 th -1/2)))))
✓	27.9b	(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
	28.0b	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
	28.5b	(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
	58.4b	(.f64 -1/2 (.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (.f64 th th) a1)))
	47.9b	(sqrt.f64 (/.f64 1 (/.f64 2 (pow.f64 a2 4))))

Compiler

Compiled 506 to 388 computations (23.3% saved)

regimes1.1s (5.2%)

Counts

71 → 1

Calls

Call 1

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

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

Calls

10 calls:

143.0ms	a1
140.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
115.0ms	a2
104.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
88.0ms	th

Results

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

Compiler

Compiled 812 to 485 computations (40.3% saved)

regimes572.0ms (2.7%)

Counts

70 → 1

Calls

Call 1

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

Outputs
(.f64 (cos.f64 th) (.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2)))

Calls

11 calls:

70.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
65.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
53.0ms	(*.f64 a2 a2)
47.0ms	a1
46.0ms	a2

Results

Error	Segments	Branch
0.7b	1	`a1`
0.7b	1	`a2`
0.7b	1	`th`
0.7b	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))`
0.7b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.7b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.7b	1	`(cos.f64 th)`
0.7b	1	`(*.f64 a1 a1)`
0.7b	1	`(*.f64 a1 a1)`
0.7b	1	`(*.f64 a2 a2)`
0.7b	1	`(*.f64 a2 a2)`

Compiler

Compiled 800 to 480 computations (40% saved)

regimes307.0ms (1.5%)

Counts

63 → 1

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))

Calls

9 calls:

47.0ms	a1
41.0ms	a2
38.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
36.0ms	th
31.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Error	Segments	Branch
0.7b	1	`a1`
0.7b	1	`a2`
0.7b	1	`th`
0.7b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.7b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.7b	1	`(cos.f64 th)`
0.7b	1	`(*.f64 a1 a1)`
0.7b	1	`(*.f64 a1 a1)`
0.7b	1	`(*.f64 a2 a2)`

Compiler

Compiled 674 to 402 computations (40.4% saved)

regimes375.0ms (1.8%)

Counts

61 → 1

Calls

Call 1

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

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

Calls

8 calls:

99.0ms	a1
56.0ms	a2
54.0ms	th
33.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
30.0ms	(cos.f64 th)

Results

Error	Segments	Branch
0.7b	1	`a1`
0.7b	1	`a2`
0.7b	1	`th`
0.7b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.7b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.7b	1	`(cos.f64 th)`
0.7b	1	`(*.f64 a1 a1)`
0.7b	1	`(*.f64 a2 a2)`

Compiler

Compiled 644 to 386 computations (40.1% saved)

regimes443.0ms (2.1%)

Counts

54 → 1

Calls

Call 1

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

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

Calls

7 calls:

148.0ms	th
77.0ms	(cos.f64 th)
55.0ms	(*.f64 a2 a2)
40.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
35.0ms	a2

Results

Error	Segments	Branch
0.8b	1	`a1`
0.8b	1	`a2`
0.8b	1	`th`
0.8b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.8b	1	`(cos.f64 th)`
0.8b	1	`(*.f64 a1 a1)`
0.8b	1	`(*.f64 a2 a2)`

Compiler

Compiled 544 to 335 computations (38.4% saved)

regimes1.2s (5.9%)

Counts

52 → 4

Calls

Call 1

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

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

Calls

9 calls:

207.0ms	(*.f64 a2 a2)
183.0ms	a1
169.0ms	(cos.f64 th)
158.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
129.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Error	Segments	Branch
6.5b	4	`a1`
7.5b	2	`a2`
13.0b	3	`th`
10.0b	6	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
10.0b	6	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
10.0b	6	`(cos.f64 th)`
10.6b	4	`(*.f64 a1 a1)`
9.8b	4	`(*.f64 a2 a2)`
9.8b	4	`(*.f64 a2 a2)`

Compiler

Compiled 532 to 334 computations (37.2% saved)

bsearch253.0ms (1.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
67.0ms	-5.32141684441546e-142	-1.3713458054324266e-143
82.0ms	-7.751057501607333e-115	-8.445871605709741e-118
103.0ms	-9.579056287019564e-92	-2.0662406533546145e-93

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes627.0ms (3%)

Counts

37 → 4

Calls

Call 1

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

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

Calls

10 calls:

84.0ms	(cos.f64 th)
79.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
75.0ms	a1
74.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
58.0ms	th

Results

Error	Segments	Branch
6.5b	4	`a1`
7.5b	2	`a2`
13.1b	3	`th`
10.0b	6	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
10.0b	6	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
10.0b	6	`(cos.f64 th)`
10.6b	4	`(*.f64 a1 a1)`
10.6b	4	`(*.f64 a1 a1)`
9.8b	4	`(*.f64 a2 a2)`
9.8b	4	`(*.f64 a2 a2)`

Compiler

Compiled 392 to 264 computations (32.7% saved)

bsearch190.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
61.0ms	-5.32141684441546e-142	-1.3713458054324266e-143
66.0ms	-7.751057501607333e-115	-8.445871605709741e-118
63.0ms	-4.5640751827832244e-95	-1.7610860796518681e-100

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes628.0ms (3%)

Counts

36 → 4

Calls

Call 1

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

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

Calls

10 calls:

83.0ms	(cos.f64 th)
82.0ms	a1
81.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
79.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
58.0ms	a2

Results

Error	Segments	Branch
6.6b	4	`a1`
7.5b	2	`a2`
13.1b	3	`th`
10.0b	6	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
10.0b	6	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
10.0b	6	`(cos.f64 th)`
10.6b	4	`(*.f64 a1 a1)`
10.6b	4	`(*.f64 a1 a1)`
9.8b	4	`(*.f64 a2 a2)`
9.8b	4	`(*.f64 a2 a2)`

Compiler

Compiled 383 to 260 computations (32.1% saved)

bsearch187.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
63.0ms	-5.32141684441546e-142	-1.3713458054324266e-143
62.0ms	-7.751057501607333e-115	-8.445871605709741e-118
61.0ms	-9.579056287019564e-92	-2.0662406533546145e-93

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes561.0ms (2.7%)

Counts

34 → 4

Calls

Call 1

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

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

Calls

10 calls:

77.0ms	(cos.f64 th)
74.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
73.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
65.0ms	a1
53.0ms	a2

Results

Error	Segments	Branch
6.6b	4	`a1`
7.5b	2	`a2`
13.1b	3	`th`
10.0b	6	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
10.0b	6	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
10.0b	6	`(cos.f64 th)`
10.7b	4	`(*.f64 a1 a1)`
10.7b	4	`(*.f64 a1 a1)`
9.9b	4	`(*.f64 a2 a2)`
9.9b	4	`(*.f64 a2 a2)`

Compiler

Compiled 365 to 250 computations (31.5% saved)

bsearch188.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
60.0ms	-5.32141684441546e-142	-1.3713458054324266e-143
67.0ms	-7.751057501607333e-115	-8.445871605709741e-118
60.0ms	-9.579056287019564e-92	-2.0662406533546145e-93

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes222.0ms (1.1%)

Counts

33 → 2

Calls

Call 1

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

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

Calls

7 calls:

53.0ms	th
37.0ms	a2
31.0ms	a1
28.0ms	(cos.f64 th)
21.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
16.4b	2	`a1`
15.3b	2	`a2`
13.1b	3	`th`
13.0b	2	`(cos.f64 th)`
18.4b	2	`(*.f64 a1 a1)`
18.4b	2	`(*.f64 a1 a1)`
16.5b	2	`(*.f64 a2 a2)`

Compiler

Compiled 334 to 227 computations (32% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9928779117134597	0.9995601030367215

Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes103.0ms (0.5%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

5 calls:

30.0ms	a1
23.0ms	a2
18.0ms	th
11.0ms	(*.f64 a2 a2)
10.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
25.2b	1	`a1`
25.2b	1	`a2`
25.2b	1	`th`
25.2b	1	`(*.f64 a1 a1)`
25.2b	1	`(*.f64 a2 a2)`

Compiler

Compiled 314 to 213 computations (32.2% saved)

regimes207.0ms (1%)

Counts

15 → 4

Calls

Call 1

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

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

Calls

6 calls:

44.0ms	(*.f64 a1 a1)
40.0ms	(*.f64 a1 a1)
32.0ms	a1
28.0ms	a2
28.0ms	(*.f64 a2 a2)

Results

Error	Segments	Branch
27.7b	4	`a1`
29.1b	2	`a2`
36.8b	3	`th`
29.7b	4	`(*.f64 a1 a1)`
29.7b	4	`(*.f64 a1 a1)`
30.8b	2	`(*.f64 a2 a2)`

Compiler

Compiled 136 to 89 computations (34.6% saved)

bsearch186.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
62.0ms	-1.698603008135742e-136	-5.32141684441546e-142
61.0ms	-5.057685158200246e-113	-7.751057501607333e-115
63.0ms	-6.727296152610243e-48	-1.1470360146040754e-52

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes120.0ms (0.6%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

7 calls:

23.0ms	a1
18.0ms	(*.f64 a1 a1)
18.0ms	th
18.0ms	a2
17.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
27.7b	4	`a1`
29.1b	2	`a2`
36.8b	3	`th`
29.7b	4	`(*.f64 a1 a1)`
29.7b	4	`(*.f64 a1 a1)`
30.8b	2	`(*.f64 a2 a2)`
30.8b	2	`(*.f64 a2 a2)`

Compiler

Compiled 102 to 69 computations (32.4% saved)

bsearch179.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
61.0ms	-1.698603008135742e-136	-5.32141684441546e-142
59.0ms	-5.057685158200246e-113	-7.751057501607333e-115
58.0ms	-6.727296152610243e-48	-1.1470360146040754e-52

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes101.0ms (0.5%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

7 calls:

20.0ms	a1
16.0ms	(*.f64 a1 a1)
15.0ms	(*.f64 a1 a1)
14.0ms	a2
14.0ms	th

Results

Error	Segments	Branch
27.7b	4	`a1`
29.1b	2	`a2`
36.8b	3	`th`
29.7b	4	`(*.f64 a1 a1)`
29.7b	4	`(*.f64 a1 a1)`
30.8b	2	`(*.f64 a2 a2)`
30.8b	2	`(*.f64 a2 a2)`

Compiler

Compiled 81 to 55 computations (32.1% saved)

bsearch186.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
60.0ms	-1.698603008135742e-136	-5.32141684441546e-142
64.0ms	-5.057685158200246e-113	-7.751057501607333e-115
61.0ms	-6.727296152610243e-48	-1.1470360146040754e-52

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes41.0ms (0.2%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	a1
12.0ms	a2
11.0ms	th

Results

Error	Segments	Branch
27.7b	4	`a1`
29.1b	2	`a2`
36.8b	3	`th`

Compiler

Compiled 39 to 28 computations (28.2% saved)

bsearch264.0ms (1.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
99.0ms	-1.698603008135742e-136	-5.32141684441546e-142
100.0ms	-5.057685158200246e-113	-7.751057501607333e-115
64.0ms	-6.727296152610243e-48	-1.1470360146040754e-52

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes70.0ms (0.3%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	a1
20.0ms	a2
20.0ms	th

Results

Error	Segments	Branch
27.7b	4	`a1`
29.1b	2	`a2`
36.8b	3	`th`

Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch317.0ms (1.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
105.0ms	-1.698603008135742e-136	-5.32141684441546e-142
107.0ms	-5.057685158200246e-113	-7.751057501607333e-115
104.0ms	-6.727296152610243e-48	-1.1470360146040754e-52

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes66.0ms (0.3%)

Accuracy

Total -27.8b remaining (-100.1%)

Threshold costs -27.8b (-100.1%)

Counts

2 → 4

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	a1
19.0ms	a2
19.0ms	th

Results

Error	Segments	Branch
27.7b	4	`a1`
29.1b	2	`a2`
36.8b	3	`th`

Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch311.0ms (1.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
101.0ms	-1.698603008135742e-136	-5.32141684441546e-142
102.0ms	-5.057685158200246e-113	-7.751057501607333e-115
108.0ms	-6.727296152610243e-48	-1.1470360146040754e-52

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify47.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	794
1	121	794

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(if (<=.f64 a1 -1757564186941629/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (if (<=.f64 a1 -8596448892837781/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (if (<=.f64 a1 -7306089980424573/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(if (<=.f64 a1 -1715027986839627/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (if (<=.f64 a1 -8596448892837781/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (if (<=.f64 a1 -7306089980424573/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))))
(if (<=.f64 a1 -1757564186941629/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (if (<=.f64 a1 -8596448892837781/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (if (<=.f64 a1 -7306089980424573/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))))
(if (<=.f64 a1 -1757564186941629/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (if (<=.f64 a1 -8596448892837781/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (if (<=.f64 a1 -7306089980424573/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(if (<=.f64 (cos.f64 th) 8962163258467287/9007199254740992) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(if (<=.f64 a1 -5534898238784785/822752278660603021077484591278675252491367932816789931674304512) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (if (<=.f64 a1 -4382278237670769/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) 2))) (if (<=.f64 a1 -8896305813401075/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 a2 (sqrt.f64 (/.f64 (*.f64 a2 a2) 2))))))
(if (<=.f64 a1 -5534898238784785/822752278660603021077484591278675252491367932816789931674304512) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (if (<=.f64 a1 -4382278237670769/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a1 -8896305813401075/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 a2 (.f64 (pow.f64 2 -1/2) a2)))))
(if (<=.f64 a1 -5534898238784785/822752278660603021077484591278675252491367932816789931674304512) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (if (<=.f64 a1 -4382278237670769/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a1 -8896305813401075/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a1 -5534898238784785/822752278660603021077484591278675252491367932816789931674304512) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (if (<=.f64 a1 -4382278237670769/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a1 -8896305813401075/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a1 -5534898238784785/822752278660603021077484591278675252491367932816789931674304512) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (if (<=.f64 a1 -4382278237670769/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a1 -8896305813401075/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(if (<=.f64 a1 -5534898238784785/822752278660603021077484591278675252491367932816789931674304512) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (if (<=.f64 a1 -4382278237670769/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a1 -8896305813401075/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))

Outputs
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(.f64 (.f64 (cos.f64 th) (pow.f64 2 -1/2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (.f64 (cos.f64 th) (pow.f64 2 -1/2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 a1 -1757564186941629/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (if (<=.f64 a1 -8596448892837781/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (if (<=.f64 a1 -7306089980424573/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(if (<=.f64 a1 -1757564186941629/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (.f64 (.f64 a1 a1) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (if (<=.f64 a1 -8596448892837781/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) (if (<=.f64 a1 -7306089980424573/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 (.f64 a1 a1) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))))
(if (<=.f64 a1 -1715027986839627/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (if (<=.f64 a1 -8596448892837781/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (if (<=.f64 a1 -7306089980424573/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))))
(if (<=.f64 a1 -1715027986839627/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (if (<=.f64 a1 -8596448892837781/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) (if (<=.f64 a1 -7306089980424573/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (sqrt.f64 1/2))))))
(if (<=.f64 a1 -1757564186941629/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (if (<=.f64 a1 -8596448892837781/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (if (<=.f64 a1 -7306089980424573/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))))
(if (<=.f64 a1 -1757564186941629/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (if (<=.f64 a1 -8596448892837781/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) (if (<=.f64 a1 -7306089980424573/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2)))))))
(if (<=.f64 a1 -1757564186941629/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (if (<=.f64 a1 -8596448892837781/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (if (<=.f64 a1 -7306089980424573/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(if (<=.f64 a1 -1757564186941629/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (if (<=.f64 a1 -8596448892837781/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) (if (<=.f64 a1 -7306089980424573/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)))))
(if (<=.f64 (cos.f64 th) 8962163258467287/9007199254740992) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(if (<=.f64 (cos.f64 th) 8962163258467287/9007199254740992) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(if (<=.f64 a1 -5534898238784785/822752278660603021077484591278675252491367932816789931674304512) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (if (<=.f64 a1 -4382278237670769/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) 2))) (if (<=.f64 a1 -8896305813401075/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 a2 (sqrt.f64 (/.f64 (*.f64 a2 a2) 2))))))
(if (<=.f64 a1 -5534898238784785/822752278660603021077484591278675252491367932816789931674304512) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (if (<=.f64 a1 -4382278237670769/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a1 -8896305813401075/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 a2 (.f64 (pow.f64 2 -1/2) a2)))))
(if (<=.f64 a1 -5534898238784785/822752278660603021077484591278675252491367932816789931674304512) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (if (<=.f64 a1 -4382278237670769/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a1 -8896305813401075/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 a2 (.f64 a2 (pow.f64 2 -1/2))))))
(if (<=.f64 a1 -5534898238784785/822752278660603021077484591278675252491367932816789931674304512) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (if (<=.f64 a1 -4382278237670769/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a1 -8896305813401075/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a1 -5534898238784785/822752278660603021077484591278675252491367932816789931674304512) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (if (<=.f64 a1 -4382278237670769/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a1 -8896305813401075/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a1 -5534898238784785/822752278660603021077484591278675252491367932816789931674304512) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (if (<=.f64 a1 -4382278237670769/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a1 -8896305813401075/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a1 -5534898238784785/822752278660603021077484591278675252491367932816789931674304512) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (if (<=.f64 a1 -4382278237670769/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a1 -8896305813401075/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(if (<=.f64 a1 -5534898238784785/822752278660603021077484591278675252491367932816789931674304512) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (if (<=.f64 a1 -4382278237670769/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a1 -8896305813401075/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(if (<=.f64 a1 -5534898238784785/822752278660603021077484591278675252491367932816789931674304512) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (if (<=.f64 a1 -4382278237670769/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a1 -8896305813401075/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(if (<=.f64 a1 -5534898238784785/822752278660603021077484591278675252491367932816789931674304512) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (if (<=.f64 a1 -4382278237670769/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a1 -8896305813401075/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))

Compiler

Compiled 577 to 394 computations (31.7% saved)

soundness0.0ms (0%)

end482.0ms (2.3%)

Compiler: Compiled 568 to 344 computations (39.4% saved)