Details

analyze429.0ms (1.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
6.3%	6.2%	93.6%	0.1%	0%	0%	0%	7
9.4%	9.4%	90.5%	0.1%	0%	0%	0%	8
14.1%	14%	85.8%	0.1%	0%	0%	0%	9
16.4%	16.4%	83.5%	0.1%	0%	0%	0%	10
19.1%	19.1%	80.7%	0.1%	0%	0%	0%	11
20.5%	20.5%	79.4%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.8s (10.5%)

Results

1.7s	3644×	body	1024	valid
491.0ms	3003×	body	256	valid
425.0ms	1430×	body	512	valid
143.0ms	179×	body	2048	valid

Bogosity

preprocess185.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

2344×	`rational.json-simplify-2`
1952×	`rational.json-simplify-35`
1158×	`rational.json-simplify-1`
834×	`rational.json-simplify-42`
814×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	108
1	68	108
2	131	108
3	229	108
4	434	108
5	841	108
6	1980	108
7	3517	108
8	5204	108
9	5885	108
10	6368	108
11	6870	108
12	7313	108
13	7943	108
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 a (sin.f64 b)) (cos.f64 (+.f64 r b)))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 a r)))
(/.f64 (*.f64 r (sin.f64 a)) (cos.f64 (+.f64 b a)))

Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 a (sin.f64 b)) (cos.f64 (+.f64 r b)))
(*.f64 (sin.f64 b) (/.f64 a (cos.f64 (+.f64 r b))))
(/.f64 (*.f64 (sin.f64 b) a) (cos.f64 (+.f64 r b)))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 a r)))
(*.f64 (sin.f64 r) (/.f64 b (cos.f64 (+.f64 r a))))
(*.f64 b (/.f64 (sin.f64 r) (cos.f64 (+.f64 r a))))
(/.f64 (*.f64 r (sin.f64 a)) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 a) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 a) (cos.f64 (+.f64 b a))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify139.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1802×	`rational.json-simplify-35`
1410×	`rational.json-simplify-52`
1052×	`rational.json-simplify-48`
1034×	`rational.json-simplify-1`
982×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	24	27
2	44	27
3	75	27
4	143	27
5	279	27
6	646	27
7	1647	27
8	3113	27
9	4607	27
10	5303	27
11	5809	27
12	6479	27
13	7192	27

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))

eval1.0ms (0%)

Compiler: Compiled 30 to 14 computations (53.3% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

12.6b

Counts

4 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.7b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
▶	12.7b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
▶	12.7b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 b)
✓	0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
✓	0.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
✓	1.5b	(cos.f64 (+.f64 b a))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series13.0ms (0%)

Counts

4 → 88

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
1.0ms	r	@	0	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
1.0ms	b	@	inf	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
1.0ms	a	@	0	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
1.0ms	b	@	0	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))

rewrite225.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2002×	`rational.json-1`
2002×	`rational.json-2`
2002×	`rational.json-4`
2002×	`rational.json-3`
728×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	79	64
2	200	64
3	491	64
4	1282	64
5	5204	64

Stop Event

1×	node limit

Counts

4 → 259

Calls

Call 1

Inputs
(cos.f64 (+.f64 b a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 b a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 b a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 b a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 (+.f64 b a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 b a)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (+.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (cos.f64 (+.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 b a)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 b a)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (cos.f64 (+.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (+.f64 b a)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 2 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (+.f64 b a)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (+.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (+.f64 b a)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (+.f64 b a)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (+.f64 b a)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (cos.f64 (+.f64 b a)) -2) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 b) (.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 b) (.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (.f64 (/.f64 1 r) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (.f64 1/2 (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) 2) (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) 2) (+.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) 2) (.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) 2) (.f64 -2 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 2 r)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 r r) (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (/.f64 2 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (+.f64 (/.f64 1 r) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (.f64 2 (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (.f64 (/.f64 2 r) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) 4) (+.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) 4) (/.f64 (.f64 (cos.f64 (+.f64 b a)) 4) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) 4) (.f64 4 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) 4) (.f64 (.f64 (cos.f64 (+.f64 b a)) 4) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) 4) (.f64 2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) 4) (.f64 (.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) 4) (.f64 -4 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) 4) (/.f64 4 (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (/.f64 1 (sin.f64 b)) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (/.f64 1 (sin.f64 b)) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 b)) (.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 b)) (/.f64 (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 2)) (+.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (.f64 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (.f64 (.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (.f64 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 2 r)) (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (.f64 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4) (/.f64 1 r)))))) (#(struct:change #<rule 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egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 2 (.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 1 (.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 1/2 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sin.f64 b) 4) (cos.f64 (+.f64 b a))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 b) 8) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 b)) (/.f64 (.f64 (cos.f64 (+.f64 b a)) 2) (.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 b) -2) (/.f64 1/2 (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 b) -2) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 b) -2) (/.f64 1 (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 (cos.f64 (+.f64 b a)))) (.f64 (sin.f64 b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 (sin.f64 b))) (/.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sin.f64 b)) (/.f64 (.f64 (cos.f64 (+.f64 b a)) 2) (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 (.f64 (sin.f64 b) 4) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 b) 1/2) (/.f64 2 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (sin.f64 b)) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) 4)) (.f64 (sin.f64 b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) (neg.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sin.f64 b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 b) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sin.f64 b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 b) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 b) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sin.f64 b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 b) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 b) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 b) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (neg.f64 (sin.f64 b))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (sin.f64 b) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 4 (neg.f64 (sin.f64 b))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 b)))))))

simplify240.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1966×	`rational.json-simplify-35`
1504×	`rational.json-simplify-61`
1404×	`rational.json-simplify-46`
796×	`rational.json-simplify-43`
786×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	681	10799
1	2156	10229
2	6974	10205

Stop Event

1×	node limit

Counts

347 → 391

Calls

Call 1

Inputs
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 b)
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 b 4) (+.f64 (.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))))))) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))))
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b
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(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 2 r)) (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (/.f64 4 (/.f64 2 r)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) -2) (/.f64 2 r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4) (/.f64 2 r)) (.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 (/.f64 (*.f64 (/.f64 2 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (/.f64 2 r)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) -1)
(/.f64 (/.f64 (*.f64 (sin.f64 b) 2) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) -2)
(/.f64 (/.f64 (*.f64 (sin.f64 b) 4) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) -4)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) 4)
(/.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 r 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))))
(/.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 -1 (sin.f64 b)))
(/.f64 (neg.f64 (+.f64 r r)) (-.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (-.f64 0 (/.f64 1 (sin.f64 b))))
(/.f64 (neg.f64 (neg.f64 r)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 1)
(+.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(+.f64 0 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(+.f64 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (sin.f64 b)) (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a))))
(.f64 (sin.f64 b) (.f64 (*.f64 2 (/.f64 1 (cos.f64 (+.f64 b a)))) 1/2))
(.f64 (sin.f64 b) (.f64 (/.f64 2 (cos.f64 (+.f64 b a))) 1/2))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(*.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(.f64 (.f64 (sin.f64 b) 2) (/.f64 1/2 (cos.f64 (+.f64 b a))))
(*.f64 -1 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(.f64 -1 (.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) 1))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) 2) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))
(.f64 2 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) 1/2)
(.f64 (.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 4)))
(.f64 (.f64 (sin.f64 b) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (sin.f64 b) 4) (.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) 4)) 1))
(.f64 (.f64 (sin.f64 b) 4) (*.f64 1/4 (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 (sin.f64 b))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (cos.f64 (+.f64 b a))))
(.f64 (neg.f64 (sin.f64 b)) (.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) 1))
(.f64 (neg.f64 (sin.f64 b)) (.f64 -1 (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 1 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 2 (.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))
(.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 1 (.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))
(.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 1/2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(.f64 4 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) 4)))
(*.f64 4 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 4))
(.f64 (/.f64 (.f64 (sin.f64 b) 4) (cos.f64 (+.f64 b a))) 1/4)
(.f64 (.f64 (sin.f64 b) 8) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 8)))
(.f64 1/2 (.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) 2))
(.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(.f64 (/.f64 1 (sin.f64 b)) (/.f64 (.f64 (cos.f64 (+.f64 b a)) 2) (.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))
(.f64 (.f64 (sin.f64 b) -2) (/.f64 1/2 (neg.f64 (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (sin.f64 b) -2) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) -2)))
(.f64 (.f64 (sin.f64 b) -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))
(.f64 (.f64 2 (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 1/2))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) -1)
(.f64 (/.f64 2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) 1/2))
(.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 (sin.f64 b))) (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(.f64 (/.f64 1/2 (sin.f64 b)) (/.f64 (.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(.f64 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) 2)
(.f64 1/4 (/.f64 (.f64 (sin.f64 b) 4) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 2 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))
(.f64 (.f64 (sin.f64 b) 1/2) (/.f64 2 (cos.f64 (+.f64 b a))))
(.f64 (/.f64 -1 (sin.f64 b)) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) 4)) (*.f64 (sin.f64 b) 4))
(*.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) (neg.f64 (sin.f64 b)))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(+.f64 (sin.f64 b) 0)
(+.f64 0 (sin.f64 b))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b))))
(-.f64 (sin.f64 b) 0)
(-.f64 0 (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) 1)
(*.f64 1 (sin.f64 b))
(.f64 (.f64 (sin.f64 b) 2) 1/2)
(*.f64 -1 (neg.f64 (sin.f64 b)))
(.f64 2 (.f64 (sin.f64 b) 1/2))
(.f64 (.f64 (sin.f64 b) 4) 1/4)
(*.f64 (neg.f64 (sin.f64 b)) -1)
(*.f64 4 (/.f64 (sin.f64 b) 4))
(.f64 (.f64 (sin.f64 b) 8) 1/8)
(.f64 1/2 (.f64 (sin.f64 b) 2))
(.f64 (.f64 (sin.f64 b) -2) -1/2)
(.f64 1/4 (.f64 (sin.f64 b) 4))
(.f64 (.f64 (sin.f64 b) 1/2) 2)
(/.f64 (sin.f64 b) 1)
(/.f64 (*.f64 (sin.f64 b) 2) 2)
(/.f64 (*.f64 (sin.f64 b) 4) 4)
(/.f64 (neg.f64 (sin.f64 b)) -1)
(/.f64 (*.f64 (sin.f64 b) 8) 8)
(/.f64 (*.f64 (sin.f64 b) -2) -2)
(/.f64 (.f64 2 (.f64 (sin.f64 b) 8)) 16)
(/.f64 (*.f64 4 (neg.f64 (sin.f64 b))) -4)
(/.f64 (neg.f64 (*.f64 (sin.f64 b) -2)) 2)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sin.f64 b))) -1) 4)
(pow.f64 (sin.f64 b) 1)
(neg.f64 (neg.f64 (sin.f64 b)))

Outputs
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 (cos.f64 a) (.f64 (pow.f64 b 2) -1/2))))
(+.f64 (cos.f64 a) (+.f64 (.f64 (sin.f64 a) (neg.f64 b)) (.f64 (pow.f64 b 2) (*.f64 -1/2 (cos.f64 a)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 (cos.f64 a) (.f64 (pow.f64 b 2) -1/2)) (.f64 (sin.f64 a) (.f64 (pow.f64 b 3) 1/6)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 (sin.f64 a) (neg.f64 b)) (+.f64 (.f64 (pow.f64 b 2) (.f64 -1/2 (cos.f64 a))) (.f64 (pow.f64 b 3) (*.f64 1/6 (sin.f64 a))))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 b)
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (cos.f64 b) (.f64 -1 (.f64 a (sin.f64 b))))
(+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 a (sin.f64 b))) (+.f64 (cos.f64 b) (.f64 -1/2 (.f64 (cos.f64 b) (pow.f64 a 2)))))
(+.f64 (cos.f64 b) (+.f64 (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2)) (*.f64 (sin.f64 b) (neg.f64 a))))
(+.f64 (cos.f64 b) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (*.f64 (pow.f64 a 2) -1/2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(+.f64 (.f64 -1 (.f64 a (sin.f64 b))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 b) (pow.f64 a 2))) (+.f64 (cos.f64 b) (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))))))
(+.f64 (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2)) (+.f64 (+.f64 (cos.f64 b) (.f64 (pow.f64 a 3) (.f64 1/6 (sin.f64 b)))) (*.f64 (sin.f64 b) (neg.f64 a))))
(+.f64 (cos.f64 b) (+.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2))) (.f64 (pow.f64 a 3) (*.f64 1/6 (sin.f64 b)))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 a -1)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 a -1)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 a -1)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 a -1)))
(cos.f64 (-.f64 b (neg.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (.f64 (*.f64 (pow.f64 b 2) r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (.f64 (.f64 (pow.f64 b 2) r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (+.f64 (.f64 (.f64 (pow.f64 b 2) r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))))))
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(.f64 (sin.f64 b) (.f64 -2 (/.f64 -1/2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sin.f64 b) -2) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) -2)))
(.f64 (.f64 (sin.f64 b) -2) (/.f64 1/2 (neg.f64 (cos.f64 (+.f64 a b)))))
(.f64 (sin.f64 b) (.f64 -2 (/.f64 -1/2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sin.f64 b) -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))
(.f64 (.f64 (sin.f64 b) -2) (/.f64 1/2 (neg.f64 (cos.f64 (+.f64 a b)))))
(.f64 (sin.f64 b) (.f64 -2 (/.f64 -1/2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 2 (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 1/2))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) -1)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) 1/2))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 (sin.f64 b))) (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(.f64 (.f64 (cos.f64 (+.f64 a b)) (/.f64 1/2 (sin.f64 b))) (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
(.f64 (cos.f64 (+.f64 a b)) (.f64 (/.f64 1/2 (sin.f64 b)) (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))))
(.f64 (/.f64 1/2 (sin.f64 b)) (/.f64 (.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(.f64 (/.f64 1/2 (sin.f64 b)) (.f64 2 (/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
(.f64 2 (.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (/.f64 1/2 (sin.f64 b))))
(.f64 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) 2)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 1/4 (/.f64 (.f64 (sin.f64 b) 4) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 2 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))
(.f64 (/.f64 2 (sin.f64 b)) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) 2) (.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
(*.f64 (/.f64 2 (sin.f64 b)) (/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) 2))
(.f64 (/.f64 2 (sin.f64 b)) (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (sin.f64 b)))))
(.f64 (.f64 (sin.f64 b) 1/2) (/.f64 2 (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 -1 (sin.f64 b)) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(.f64 (/.f64 -1 (sin.f64 b)) (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
(*.f64 (/.f64 -1 (sin.f64 b)) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (cos.f64 (+.f64 a b))))))))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) 4)) (*.f64 (sin.f64 b) 4))
(.f64 (.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 4 (cos.f64 (+.f64 a b)))))
(.f64 (sin.f64 b) (.f64 4 (/.f64 1/4 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) (neg.f64 (sin.f64 b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(+.f64 (sin.f64 b) 0)
(sin.f64 b)
(+.f64 0 (sin.f64 b))
(sin.f64 b)
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b))))
(sin.f64 b)
(-.f64 (sin.f64 b) 0)
(sin.f64 b)
(-.f64 0 (neg.f64 (sin.f64 b)))
(sin.f64 b)
(*.f64 (sin.f64 b) 1)
(sin.f64 b)
(*.f64 1 (sin.f64 b))
(sin.f64 b)
(.f64 (.f64 (sin.f64 b) 2) 1/2)
(sin.f64 b)
(*.f64 -1 (neg.f64 (sin.f64 b)))
(sin.f64 b)
(.f64 2 (.f64 (sin.f64 b) 1/2))
(sin.f64 b)
(.f64 (.f64 (sin.f64 b) 4) 1/4)
(sin.f64 b)
(*.f64 (neg.f64 (sin.f64 b)) -1)
(sin.f64 b)
(*.f64 4 (/.f64 (sin.f64 b) 4))
(sin.f64 b)
(.f64 (.f64 (sin.f64 b) 8) 1/8)
(sin.f64 b)
(.f64 1/2 (.f64 (sin.f64 b) 2))
(sin.f64 b)
(.f64 (.f64 (sin.f64 b) -2) -1/2)
(sin.f64 b)
(.f64 1/4 (.f64 (sin.f64 b) 4))
(sin.f64 b)
(.f64 (.f64 (sin.f64 b) 1/2) 2)
(sin.f64 b)
(/.f64 (sin.f64 b) 1)
(sin.f64 b)
(/.f64 (*.f64 (sin.f64 b) 2) 2)
(sin.f64 b)
(/.f64 (*.f64 (sin.f64 b) 4) 4)
(sin.f64 b)
(/.f64 (neg.f64 (sin.f64 b)) -1)
(sin.f64 b)
(/.f64 (*.f64 (sin.f64 b) 8) 8)
(sin.f64 b)
(/.f64 (*.f64 (sin.f64 b) -2) -2)
(sin.f64 b)
(/.f64 (.f64 2 (.f64 (sin.f64 b) 8)) 16)
(sin.f64 b)
(/.f64 (*.f64 4 (neg.f64 (sin.f64 b))) -4)
(sin.f64 b)
(/.f64 (neg.f64 (*.f64 (sin.f64 b) -2)) 2)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sin.f64 b))) -1) 4)
(sin.f64 b)
(pow.f64 (sin.f64 b) 1)
(sin.f64 b)
(neg.f64 (neg.f64 (sin.f64 b)))
(sin.f64 b)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 b)
✓	0.2b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
✓	0.2b	(/.f64 r (cos.f64 (+.f64 b a)))
	1.5b	(cos.f64 (+.f64 b a))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/.f64 r (cos.f64 (+.f64 b a)))
1.0ms	b	@	0	(/.f64 r (cos.f64 (+.f64 b a)))
0.0ms	r	@	-inf	(/.f64 r (cos.f64 (+.f64 b a)))
0.0ms	r	@	0	(/.f64 r (cos.f64 (+.f64 b a)))
0.0ms	b	@	inf	(/.f64 r (cos.f64 (+.f64 b a)))

rewrite106.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1990×	`rational.json-1`
1990×	`rational.json-2`
1990×	`rational.json-4`
1990×	`rational.json-3`
744×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	79	44
2	200	44
3	485	44
4	1251	44
5	5259	44

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

Inputs
(/.f64 r (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 r (cos.f64 (+.f64 b a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 r (cos.f64 (+.f64 b a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 r (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 r (.f64 (.f64 2 (/.f64 1 (cos.f64 (+.f64 b a)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 r (.f64 (/.f64 2 (cos.f64 (+.f64 b a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 r) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 r (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 r r) (/.f64 1/2 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (+.f64 r r) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r 4) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r 4) (.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r 4) (.f64 1/4 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r 4) (.f64 1/2 (/.f64 1/2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cos.f64 (+.f64 b a))) r)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 r) (/.f64 -1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 r) (.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 2 (.f64 2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) (/.f64 1 (.f64 2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) (/.f64 1/2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 r (.f64 (cos.f64 (+.f64 b a)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r 8) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 r) (/.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 r) (/.f64 (.f64 (cos.f64 (+.f64 b a)) 2) (.f64 2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r -2) (/.f64 1/2 (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r -2) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r -2) (/.f64 1 (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 (cos.f64 (+.f64 b a)))) (.f64 r 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (cos.f64 (+.f64 b a))) (.f64 r 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 r) (/.f64 (.f64 (cos.f64 (+.f64 b a)) 2) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 r)) (/.f64 2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 r) (/.f64 (cos.f64 (+.f64 b a)) (.f64 2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) 4)) (.f64 r 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (cos.f64 (+.f64 b a))) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r 1/2) (/.f64 2 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 r) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (.f64 -1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 1 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 r (cos.f64 (+.f64 b a))) (.f64 (/.f64 1 (sin.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 r (cos.f64 (+.f64 b a))) (.f64 1/2 (/.f64 2 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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Outputs

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(/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 -1 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 b) 2)) (-.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (-.f64 0 (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 1)))))

simplify288.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1830×	`rational.json-simplify-35`
976×	`rational.json-simplify-51`
802×	`rational.json-simplify-61`
800×	`rational.json-simplify-49`
780×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	557	9878
1	1899	9474
2	6351	9408

Stop Event

1×	node limit

Counts

266 → 299

Calls

Call 1

Inputs
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 a))
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(/.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4) (.f64 4 (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4) (.f64 2 (/.f64 2 (sin.f64 b))))
(/.f64 (.f64 r 8) (/.f64 (.f64 (cos.f64 (+.f64 b a)) 8) (sin.f64 b)))
(/.f64 (.f64 r 8) (.f64 8 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (.f64 r 8) (.f64 (*.f64 (cos.f64 (+.f64 b a)) 8) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 r 8) (.f64 4 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) (.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4)) 4)
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 r))
(/.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (/.f64 (/.f64 1/2 r) (sin.f64 b)))
(/.f64 1/2 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 r)) (sin.f64 b)))
(/.f64 1/2 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r -2) (+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (.f64 r -2) (/.f64 (.f64 (cos.f64 (+.f64 b a)) -2) (sin.f64 b)))
(/.f64 (.f64 r -2) (/.f64 (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 2)) (sin.f64 b)))
(/.f64 (.f64 r -2) (.f64 (*.f64 (cos.f64 (+.f64 b a)) -2) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 r -2) (.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2)) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 r -2) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 2 (sin.f64 b))))
(/.f64 (.f64 r -2) (.f64 2 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 r (cos.f64 (+.f64 b a)))) (/.f64 (.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 2)))
(/.f64 (.f64 2 (.f64 (sin.f64 b) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4))) 8)
(/.f64 (.f64 2 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4)) (*.f64 8 (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 2 (.f64 r 8)) (.f64 (.f64 2 (*.f64 (cos.f64 (+.f64 b a)) 8)) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 2 (.f64 (sin.f64 b) 4)) (+.f64 (.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) (.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)))
(/.f64 (.f64 2 (.f64 (sin.f64 b) 4)) (*.f64 8 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 1/2 r))
(/.f64 (.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) (.f64 (.f64 2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r))) (/.f64 2 (sin.f64 b))))
(/.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 -1 (sin.f64 b)))
(/.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 -1 (/.f64 1 (sin.f64 b))))
(/.f64 (/.f64 (.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))) (/.f64 r (cos.f64 (+.f64 b a)))) (/.f64 2 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (/.f64 1 (.f64 (sin.f64 b) 2)))
(/.f64 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (.f64 1/2 (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) 1/2) (.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 r)))
(/.f64 (.f64 (sin.f64 b) (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))) 1/2)
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (sin.f64 b)) (*.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 1))
(/.f64 (.f64 4 (neg.f64 r)) (.f64 (.f64 2 (.f64 (cos.f64 (+.f64 b a)) -2)) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 4 (neg.f64 r)) (.f64 (.f64 2 (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 2))) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 4 (neg.f64 r)) (.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 4)) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 4 (neg.f64 r)) (.f64 4 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (neg.f64 (.f64 r -2)) (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))))
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (/.f64 -1 (sin.f64 b)))
(/.f64 (+.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (+.f64 (/.f64 1 r) (/.f64 1 r)))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 b) (.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4))) (.f64 2 (.f64 (sin.f64 b) (.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4)))) 16)
(/.f64 (+.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 b))) (+.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) 2) (cos.f64 (+.f64 b a))) (/.f64 2 r))
(/.f64 (/.f64 (*.f64 r 8) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 8)
(/.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 1 (/.f64 1 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (/.f64 (+.f64 r r) (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (/.f64 -1 (/.f64 1 (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (/.f64 2 (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (/.f64 (.f64 r 4) (/.f64 1 (sin.f64 b))) (.f64 (cos.f64 (+.f64 b a)) 4))
(/.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (sin.f64 b))) (/.f64 1 r))
(/.f64 (/.f64 (neg.f64 r) (/.f64 1 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r)))
(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) (/.f64 1 (sin.f64 b))) (.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r))))
(/.f64 (/.f64 4 (/.f64 1 (sin.f64 b))) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4))
(/.f64 (/.f64 (.f64 r 8) (/.f64 1 (sin.f64 b))) (.f64 (cos.f64 (+.f64 b a)) 8))
(/.f64 (/.f64 (.f64 r -2) (/.f64 1 (sin.f64 b))) (.f64 (cos.f64 (+.f64 b a)) -2))
(/.f64 (/.f64 (.f64 r -2) (/.f64 1 (sin.f64 b))) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 2)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4)) (/.f64 1 (sin.f64 b))) 8)
(/.f64 (/.f64 (.f64 2 (.f64 r 8)) (/.f64 1 (sin.f64 b))) (.f64 2 (.f64 (cos.f64 (+.f64 b a)) 8)))
(/.f64 (/.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 1 (sin.f64 b))) -1)
(/.f64 (/.f64 (.f64 4 (neg.f64 r)) (/.f64 1 (sin.f64 b))) (.f64 2 (*.f64 (cos.f64 (+.f64 b a)) -2)))
(/.f64 (/.f64 (.f64 4 (neg.f64 r)) (/.f64 1 (sin.f64 b))) (.f64 2 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))
(/.f64 (/.f64 (.f64 4 (neg.f64 r)) (/.f64 1 (sin.f64 b))) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 4)))
(/.f64 (/.f64 (neg.f64 (.f64 r -2)) (/.f64 1 (sin.f64 b))) (.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 b) 4)) (/.f64 (cos.f64 (+.f64 b a)) r)) 8)
(/.f64 (/.f64 1 (/.f64 2 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 r)))
(/.f64 (/.f64 (+.f64 r r) (/.f64 2 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 2 (/.f64 2 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (/.f64 (.f64 r 4) (/.f64 2 (sin.f64 b))) (.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) (/.f64 2 (sin.f64 b))) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r)))
(/.f64 (/.f64 4 (/.f64 2 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (/.f64 (*.f64 r -2) (/.f64 2 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) (/.f64 2 (sin.f64 b))) (.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r))))
(/.f64 (/.f64 (/.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))) (/.f64 r (cos.f64 (+.f64 b a)))) (/.f64 2 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (/.f64 r (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) -1)
(/.f64 (/.f64 (+.f64 r r) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) -2)
(/.f64 (/.f64 (*.f64 r 4) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) -4)
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) 4)
(/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (sin.f64 b) 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 -1 r))
(/.f64 (neg.f64 (.f64 (sin.f64 b) 2)) (-.f64 0 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (-.f64 0 (/.f64 1 r)))
(pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 1)

Outputs
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 b r)) (pow.f64 (cos.f64 a) 2)) (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 r (cos.f64 a)) (.f64 (.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r b)) (pow.f64 (cos.f64 a) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 2))) (/.f64 r (cos.f64 a))))
(+.f64 (.f64 (.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 r (cos.f64 a)) (.f64 -1 (.f64 (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 -1 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 2)))))
(+.f64 (.f64 (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (neg.f64 (pow.f64 b 2))) (+.f64 (/.f64 r (cos.f64 a)) (.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (.f64 (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (neg.f64 (pow.f64 b 2))) (+.f64 (/.f64 r (cos.f64 a)) (.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r b)) (pow.f64 (cos.f64 a) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (sin.f64 a)) (cos.f64 a)) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 2))) (/.f64 r (cos.f64 a)))))
(+.f64 (.f64 (.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (+.f64 (/.f64 r (cos.f64 a)) (.f64 -1 (.f64 (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 -1 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 2)))) (.f64 -1 (.f64 (+.f64 (.f64 (sin.f64 a) (/.f64 (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 -1 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 3)))))
(+.f64 (.f64 (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (neg.f64 (pow.f64 b 2))) (+.f64 (+.f64 (/.f64 r (cos.f64 a)) (.f64 (.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (.f64 (+.f64 (.f64 (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (/.f64 (sin.f64 a) (cos.f64 a))) (.f64 (*.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) -1/3)) (neg.f64 (pow.f64 b 3)))))
(+.f64 (/.f64 r (cos.f64 a)) (+.f64 (.f64 -1 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (/.f64 (sin.f64 a) (cos.f64 a))) (.f64 (.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) -1/3)) (pow.f64 b 3)) (.f64 (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 2)))) (.f64 (.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 b -1))))
(/.f64 r (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 b -1))))
(/.f64 r (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 b -1))))
(/.f64 r (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 b -1))))
(/.f64 r (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 r (cos.f64 b))
(+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 r (cos.f64 b)))
(+.f64 (/.f64 r (cos.f64 b)) (.f64 (.f64 r a) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))
(+.f64 (/.f64 r (cos.f64 b)) (.f64 (sin.f64 b) (/.f64 (.f64 r a) (pow.f64 (cos.f64 b) 2))))
(+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 b))) (.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2))) (/.f64 r (cos.f64 b))))
(+.f64 (.f64 (.f64 r a) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 r (cos.f64 b)) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 b))) (.f64 -1 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2)))))
(+.f64 (/.f64 r (cos.f64 b)) (+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 b))) (neg.f64 (.f64 r (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))) (neg.f64 (pow.f64 a 2))) (.f64 (sin.f64 b) (/.f64 (*.f64 r a) (pow.f64 (cos.f64 b) 2)))))
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(.f64 (cos.f64 (+.f64 a b)) (/.f64 (/.f64 2 r) (.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 r r)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))))
(/.f64 (/.f64 4 (/.f64 1 (sin.f64 b))) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (.f64 r 8) (/.f64 1 (sin.f64 b))) (.f64 (cos.f64 (+.f64 b a)) 8))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (.f64 r -2) (/.f64 1 (sin.f64 b))) (.f64 (cos.f64 (+.f64 b a)) -2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (.f64 r -2) (/.f64 1 (sin.f64 b))) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) 4)) (/.f64 1 (sin.f64 b))) 8)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (.f64 2 (.f64 r 8)) (/.f64 1 (sin.f64 b))) (.f64 2 (.f64 (cos.f64 (+.f64 b a)) 8)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 1 (sin.f64 b))) -1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (.f64 4 (neg.f64 r)) (/.f64 1 (sin.f64 b))) (.f64 2 (*.f64 (cos.f64 (+.f64 b a)) -2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (.f64 4 (neg.f64 r)) (/.f64 1 (sin.f64 b))) (.f64 2 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (.f64 4 (neg.f64 r)) (/.f64 1 (sin.f64 b))) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 4)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (neg.f64 (.f64 r -2)) (/.f64 1 (sin.f64 b))) (.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 b) 4)) (/.f64 (cos.f64 (+.f64 b a)) r)) 8)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 1 (/.f64 2 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (+.f64 r r) (/.f64 2 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 2 (/.f64 2 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (.f64 r 4) (/.f64 2 (sin.f64 b))) (.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) (/.f64 2 (sin.f64 b))) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r)))
(.f64 (/.f64 2 r) (/.f64 (cos.f64 (+.f64 a b)) (.f64 (.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) (.f64 r r))) (/.f64 2 (sin.f64 b)))))
(/.f64 (.f64 r r) (/.f64 (cos.f64 (+.f64 a b)) (.f64 (/.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (sin.f64 b))) (/.f64 (/.f64 2 r) (cos.f64 (+.f64 a b))))))
(/.f64 (/.f64 4 (/.f64 2 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 r -2) (/.f64 2 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) (/.f64 2 (sin.f64 b))) (.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r))))
(.f64 4 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (.f64 (.f64 2 (.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r r)))) (/.f64 2 (sin.f64 b)))))
(/.f64 (sin.f64 b) (.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 a b)) r)) (.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 r r)) (.f64 2 (cos.f64 (+.f64 a b))))))
(/.f64 (/.f64 (/.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))) (/.f64 r (cos.f64 (+.f64 b a)))) (/.f64 2 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (.f64 r (/.f64 2 (cos.f64 (+.f64 a b)))) (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 2 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))))))
(/.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 (/.f64 r (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) -1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (+.f64 r r) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) -2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 r 4) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) -4)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) 4)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (sin.f64 b) 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 -1 r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (.f64 (sin.f64 b) 2)) (-.f64 0 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (-.f64 0 (/.f64 1 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 b)
✓	0.1b	(*.f64 r (sin.f64 b))
✓	0.3b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
✓	1.5b	(cos.f64 (+.f64 a b))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series4.0ms (0%)

Counts

3 → 76

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(*.f64 r (sin.f64 b))
0.0ms	r	@	inf	(*.f64 r (sin.f64 b))
0.0ms	a	@	0	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
0.0ms	b	@	0	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
0.0ms	r	@	-inf	(*.f64 r (sin.f64 b))

rewrite110.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1186×	`rational.json-1`
1186×	`rational.json-2`
1186×	`rational.json-4`
1186×	`rational.json-3`
1178×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	81	49
2	220	49
3	587	49
4	1752	49
5	4281	49

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

Inputs
(cos.f64 (+.f64 a b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))

Outputs

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

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

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

simplify207.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1008×	`rational.json-simplify-46`
816×	`rational.json-simplify-35`
790×	`rational.json-simplify-51`
740×	`rational.json-simplify-43`
692×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	358	5524
1	892	5376
2	2337	5336
3	5407	5328
4	7745	5328

Stop Event

1×	node limit

Counts

198 → 209

Calls

Call 1

Inputs
(cos.f64 b)
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 r b)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 b 7) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r)))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(+.f64 (cos.f64 (+.f64 a b)) 0)
(+.f64 0 (cos.f64 (+.f64 a b)))
(+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 a b)))))
(+.f64 (/.f64 (cos.f64 (+.f64 a b)) 2) (/.f64 (cos.f64 (+.f64 a b)) 2))
(-.f64 (cos.f64 (+.f64 a b)) 0)
(-.f64 0 (neg.f64 (cos.f64 (+.f64 a b))))
(*.f64 (cos.f64 (+.f64 a b)) 1)
(*.f64 1 (cos.f64 (+.f64 a b)))
(.f64 (.f64 (cos.f64 (+.f64 a b)) 2) 1/2)
(*.f64 -1 (neg.f64 (cos.f64 (+.f64 a b))))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) 2))
(.f64 (.f64 (cos.f64 (+.f64 a b)) 4) 1/4)
(*.f64 (neg.f64 (cos.f64 (+.f64 a b))) -1)
(.f64 1/2 (.f64 (cos.f64 (+.f64 a b)) 2))
(*.f64 (/.f64 (cos.f64 (+.f64 a b)) 2) 2)
(.f64 1/4 (.f64 (cos.f64 (+.f64 a b)) 4))
(/.f64 (cos.f64 (+.f64 a b)) 1)
(/.f64 (*.f64 (cos.f64 (+.f64 a b)) 2) 2)
(/.f64 (*.f64 (cos.f64 (+.f64 a b)) 4) 4)
(/.f64 (neg.f64 (cos.f64 (+.f64 a b))) -1)
(/.f64 (.f64 2 (.f64 (cos.f64 (+.f64 a b)) 4)) 8)
(/.f64 (*.f64 2 (neg.f64 (cos.f64 (+.f64 a b)))) -2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (cos.f64 (+.f64 a b)) 4))) 16)
(pow.f64 (cos.f64 (+.f64 a b)) 1)
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) 0)
(+.f64 0 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b)))))
(+.f64 (.f64 (.f64 r (sin.f64 b)) (/.f64 1/2 (cos.f64 (+.f64 a b)))) (.f64 (.f64 r (sin.f64 b)) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(+.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) 2) (/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) 2))
(-.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) 0)
(-.f64 0 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) 1)
(*.f64 1 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)))
(.f64 (.f64 r (*.f64 (sin.f64 b) 2)) (/.f64 1/2 (cos.f64 (+.f64 a b))))
(.f64 (.f64 r (.f64 (sin.f64 b) 2)) (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 1/2))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(.f64 -1 (/.f64 (.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))))
(.f64 2 (.f64 (*.f64 r (sin.f64 b)) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(*.f64 2 (/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) 2))
(.f64 2 (.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b))))))
(.f64 2 (.f64 (sin.f64 b) (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b))))))
(.f64 2 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)))
(.f64 2 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (*.f64 r 1/2)))
(.f64 2 (.f64 (*.f64 r 1/2) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(.f64 2 (.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 1/2) (.f64 r (sin.f64 b))))
(.f64 2 (.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 a b)) 4)) (.f64 r (*.f64 (sin.f64 b) 2))))
(.f64 (.f64 (*.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b)))) 1/2)
(.f64 (.f64 (sin.f64 b) (.f64 r 4)) (/.f64 1 (.f64 (cos.f64 (+.f64 a b)) 4)))
(.f64 (.f64 (sin.f64 b) (.f64 r 4)) (.f64 1/2 (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 (+.f64 r r) (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 (+.f64 r r) (.f64 1/2 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sin.f64 b) 2) (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sin.f64 b) 2) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1/2))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 r (sin.f64 b)))
(.f64 (.f64 r (neg.f64 (sin.f64 b))) (/.f64 -1 (cos.f64 (+.f64 a b))))
(.f64 4 (.f64 (.f64 r (.f64 (sin.f64 b) 1/2)) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 4 (.f64 (.f64 (sin.f64 b) (.f64 r 1/2)) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 4 (.f64 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b)))) (.f64 r 1/2)))
(.f64 4 (.f64 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b)))) (.f64 (sin.f64 b) 1/2)))
(.f64 4 (.f64 (.f64 (sin.f64 b) 1/2) (.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b))))))
(.f64 4 (.f64 (.f64 r 1/2) (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b))))))
(.f64 4 (.f64 (/.f64 (*.f64 r (sin.f64 b)) 2) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sin.f64 b) 4) (.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (.f64 r 1/2)))
(.f64 (.f64 (sin.f64 b) 4) (.f64 (.f64 r 1/2) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sin.f64 b) 4) (.f64 1/2 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b))))))
(.f64 (.f64 8 (.f64 r (sin.f64 b))) (.f64 1/4 (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 r 4) (.f64 (.f64 (sin.f64 b) 1/2) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 r 4) (.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (.f64 (sin.f64 b) 1/2)))
(.f64 (.f64 r 4) (.f64 1/2 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b))))))
(.f64 -2 (.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)))
(.f64 -2 (.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b))))))
(.f64 -2 (.f64 (*.f64 r (neg.f64 (sin.f64 b))) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 r (/.f64 2 (cos.f64 (+.f64 a b)))) (*.f64 (sin.f64 b) 1/2))
(.f64 (.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 a b)))) (*.f64 r 1/2))
(.f64 (.f64 r 1/2) (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sin.f64 b) 1/2) (*.f64 r (/.f64 2 (cos.f64 (+.f64 a b)))))
(.f64 1/2 (.f64 (*.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b)))) (*.f64 (sin.f64 b) 2))
(.f64 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b)))) (+.f64 r r))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (.f64 r (*.f64 (sin.f64 b) 2)))
(.f64 (.f64 (.f64 r (sin.f64 b)) -2) (.f64 -1 (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 r -2) (.f64 (/.f64 -1 (cos.f64 (+.f64 a b))) (.f64 (sin.f64 b) 1/2)))
(.f64 (.f64 r -2) (.f64 -1 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b))))))
(.f64 (.f64 2 (/.f64 1 (cos.f64 (+.f64 a b)))) (.f64 r (.f64 (sin.f64 b) 1/2)))
(.f64 (.f64 2 (/.f64 1 (cos.f64 (+.f64 a b)))) (.f64 (sin.f64 b) (.f64 r 1/2)))
(.f64 (.f64 2 (/.f64 1 (cos.f64 (+.f64 a b)))) (.f64 1/2 (.f64 r (sin.f64 b))))
(.f64 (.f64 2 (neg.f64 (sin.f64 b))) (.f64 -1 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b))))))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 1/2) (.f64 r (.f64 (sin.f64 b) 2)))
(.f64 (/.f64 (.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))) -1)
(.f64 (.f64 (*.f64 r (sin.f64 b)) (/.f64 1/2 (cos.f64 (+.f64 a b)))) 2)
(*.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) 2) 2)
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 a b)) 4)) (.f64 (sin.f64 b) (.f64 r 4)))
(.f64 (/.f64 -1 (cos.f64 (+.f64 a b))) (.f64 r (neg.f64 (sin.f64 b))))
(.f64 (.f64 2 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) (.f64 -1 (.f64 (sin.f64 b) 1/2)))
(.f64 (.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b))))) 2)
(.f64 (.f64 (sin.f64 b) (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b))))) 2)
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)) 2)
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1/2) (*.f64 (sin.f64 b) 2))
(.f64 (+.f64 (/.f64 -1 (cos.f64 (+.f64 a b))) (/.f64 -1 (cos.f64 (+.f64 a b)))) (.f64 (neg.f64 r) (*.f64 (sin.f64 b) 1/2)))
(pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) 1)
(neg.f64 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 r (sin.f64 b)) 0)
(+.f64 0 (*.f64 r (sin.f64 b)))
(+.f64 -1 (-.f64 (*.f64 r (sin.f64 b)) -1))
(+.f64 (/.f64 (.f64 r (sin.f64 b)) 2) (/.f64 (.f64 r (sin.f64 b)) 2))
(+.f64 (-.f64 (*.f64 r (sin.f64 b)) -1) -1)
(-.f64 (*.f64 r (sin.f64 b)) 0)
(-.f64 0 (*.f64 r (neg.f64 (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(/.f64 (.f64 r (.f64 (sin.f64 b) 2)) 2)
(/.f64 (.f64 (sin.f64 b) (.f64 r 4)) 4)
(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) -1)
(/.f64 (.f64 8 (.f64 r (sin.f64 b))) 8)
(/.f64 (.f64 (.f64 r (sin.f64 b)) -2) -2)
(/.f64 (.f64 2 (.f64 8 (*.f64 r (sin.f64 b)))) 16)
(pow.f64 (*.f64 r (sin.f64 b)) 1)
(neg.f64 (*.f64 r (neg.f64 (sin.f64 b))))

Outputs
(cos.f64 b)
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (cos.f64 b) (.f64 -1 (.f64 (sin.f64 b) a)))
(+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 b) (pow.f64 a 2))) (+.f64 (cos.f64 b) (.f64 -1 (.f64 (sin.f64 b) a))))
(+.f64 (cos.f64 b) (+.f64 (.f64 (cos.f64 b) (.f64 -1/2 (pow.f64 a 2))) (*.f64 (sin.f64 b) (neg.f64 a))))
(+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (.f64 (cos.f64 b) (*.f64 (pow.f64 a 2) -1/2))))
(+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 b) (pow.f64 a 2))) (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (.f64 (pow.f64 a 3) 1/6)))))
(+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (.f64 (cos.f64 b) (.f64 -1/2 (pow.f64 a 2))) (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (*.f64 1/6 (pow.f64 a 3))))))
(+.f64 (+.f64 (cos.f64 b) (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2))) (.f64 (sin.f64 b) (+.f64 (.f64 1/6 (pow.f64 a 3)) (neg.f64 a))))
(+.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (.f64 1/6 (pow.f64 a 3)))))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (.f64 -1 (.f64 b (sin.f64 a))))
(+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))
(+.f64 (cos.f64 a) (neg.f64 (*.f64 b (sin.f64 a))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (.f64 -1 (.f64 b (sin.f64 a))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))) (cos.f64 a)))
(+.f64 (cos.f64 a) (+.f64 (.f64 (sin.f64 a) (neg.f64 b)) (.f64 (pow.f64 b 2) (*.f64 -1/2 (cos.f64 a)))))
(+.f64 (cos.f64 a) (+.f64 (neg.f64 (.f64 b (sin.f64 a))) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (+.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b))) (.f64 (pow.f64 b 2) (*.f64 (cos.f64 a) -1/2)))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 b (sin.f64 a))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))) (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))))))
(+.f64 (+.f64 (.f64 (pow.f64 b 2) (.f64 -1/2 (cos.f64 a))) (.f64 (pow.f64 b 3) (.f64 (sin.f64 a) 1/6))) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))) (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3))))))
(+.f64 (+.f64 (cos.f64 a) (.f64 (pow.f64 b 2) (.f64 (cos.f64 a) -1/2))) (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3)))))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 a (neg.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (/.f64 (.f64 (pow.f64 b 2) (*.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (/.f64 r (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 (*.f64 (sin.f64 a) r) (/.f64 (pow.f64 b 2) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (/.f64 (.f64 (pow.f64 b 2) (.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (+.f64 (.f64 b (/.f64 r (cos.f64 a))) (.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (/.f64 r (pow.f64 (cos.f64 a) 2)))))
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(.f64 (.f64 (sin.f64 b) (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b))))) 2)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)) 2)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1/2) (*.f64 (sin.f64 b) 2))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (+.f64 (/.f64 -1 (cos.f64 (+.f64 a b))) (/.f64 -1 (cos.f64 (+.f64 a b)))) (.f64 (neg.f64 r) (*.f64 (sin.f64 b) 1/2)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) 1)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(+.f64 (*.f64 r (sin.f64 b)) 0)
(*.f64 (sin.f64 b) r)
(+.f64 0 (*.f64 r (sin.f64 b)))
(*.f64 (sin.f64 b) r)
(+.f64 -1 (-.f64 (*.f64 r (sin.f64 b)) -1))
(*.f64 (sin.f64 b) r)
(+.f64 (/.f64 (.f64 r (sin.f64 b)) 2) (/.f64 (.f64 r (sin.f64 b)) 2))
(*.f64 (sin.f64 b) r)
(+.f64 (-.f64 (*.f64 r (sin.f64 b)) -1) -1)
(*.f64 (sin.f64 b) r)
(-.f64 (*.f64 r (sin.f64 b)) 0)
(*.f64 (sin.f64 b) r)
(-.f64 0 (*.f64 r (neg.f64 (sin.f64 b))))
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 r (sin.f64 b)) 1)
(*.f64 (sin.f64 b) r)
(/.f64 (.f64 r (.f64 (sin.f64 b) 2)) 2)
(*.f64 (sin.f64 b) r)
(/.f64 (.f64 (sin.f64 b) (.f64 r 4)) 4)
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) -1)
(*.f64 (sin.f64 b) r)
(/.f64 (.f64 8 (.f64 r (sin.f64 b))) 8)
(*.f64 (sin.f64 b) r)
(/.f64 (.f64 (.f64 r (sin.f64 b)) -2) -2)
(*.f64 (sin.f64 b) r)
(/.f64 (.f64 2 (.f64 8 (*.f64 r (sin.f64 b)))) 16)
(*.f64 (sin.f64 b) r)
(pow.f64 (*.f64 r (sin.f64 b)) 1)
(*.f64 (sin.f64 b) r)
(neg.f64 (*.f64 r (neg.f64 (sin.f64 b))))
(*.f64 (sin.f64 b) r)

eval613.0ms (2.3%)

Compiler: Compiled 21238 to 8997 computations (57.6% saved)

prune708.0ms (2.6%)

Pruning

50 alts after pruning (49 fresh and 1 done)

	Pruned	Kept	Total
New	991	49	1040
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	993	50	1043

Error

10.9b

Counts

1043 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	23.8b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 1 r)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	23.9b	(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 2 r)) (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	33.0b	(/.f64 (/.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) (.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) (.f64 r r))))
	12.7b	(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 r))
▶	12.7b	(/.f64 (/.f64 (sin.f64 b) 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
	33.6b	(/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r)) (/.f64 1 (sin.f64 b))))
	12.8b	(/.f64 (/.f64 2 (/.f64 2 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) r))
	35.4b	(/.f64 (+.f64 (-.f64 (*.f64 r (sin.f64 b)) -1) -1) (cos.f64 (+.f64 a b)))
	22.2b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	33.3b	(/.f64 (*.f64 r (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b))))) (cos.f64 (+.f64 a b)))
	25.7b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (+.f64 (cos.f64 b) (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2))) (.f64 (sin.f64 b) (+.f64 (*.f64 1/6 (pow.f64 a 3)) (neg.f64 a)))))
	31.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (+.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b))) (.f64 (pow.f64 b 2) (.f64 (cos.f64 a) -1/2))))
	23.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2)))))
	23.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))
	25.7b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (*.f64 1/6 (pow.f64 a 3))))))
	23.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 a))))
	30.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b))))
▶	12.8b	(/.f64 (*.f64 r (sin.f64 b)) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 a b))))))
	29.5b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	32.3b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
	32.2b	(/.f64 (*.f64 r b) (cos.f64 a))
▶	12.7b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
	12.8b	(/.f64 (neg.f64 r) (/.f64 -1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
	12.7b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	13.3b	(/.f64 2 (/.f64 2 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
	13.3b	(/.f64 1 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 b)))
	13.3b	(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
▶	19.6b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (*.f64 2 (sin.f64 b))))))
	33.4b	(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) (/.f64 r (cos.f64 (+.f64 b a))))
	23.5b	(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))))
	23.4b	(.f64 (sin.f64 b) (/.f64 r (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 a)))))
	30.5b	(.f64 (sin.f64 b) (/.f64 r (+.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b)))))
✓	12.7b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
	22.2b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
	29.5b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
	31.4b	(.f64 (sin.f64 b) (+.f64 (/.f64 (.f64 (sin.f64 a) (*.f64 b r)) (pow.f64 (cos.f64 a) 2)) (/.f64 r (cos.f64 a))))
	24.7b	(.f64 (sin.f64 b) (+.f64 (/.f64 r (cos.f64 b)) (.f64 (*.f64 r a) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))))
	32.5b	(.f64 (sin.f64 b) (.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r)))))
	12.7b	(.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r))
	12.7b	(*.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r))))
	25.7b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 b) (+.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2))) (.f64 (pow.f64 a 3) (.f64 1/6 (sin.f64 b)))))))
	22.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
	29.5b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
	32.3b	(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
	32.2b	(*.f64 r (/.f64 b (cos.f64 a)))
	20.8b	(.f64 r (.f64 (/.f64 1 (sin.f64 b)) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
	12.7b	(.f64 r (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
	20.8b	(.f64 r (.f64 (cos.f64 (+.f64 a b)) (/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) (sin.f64 b))))
▶	32.2b	(*.f64 b (/.f64 r (cos.f64 a)))
	12.8b	(.f64 2 (/.f64 (sin.f64 b) (/.f64 (.f64 r (/.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b))))) (/.f64 r (cos.f64 (+.f64 a b))))))

Compiler

Compiled 1820 to 1148 computations (36.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 b)
✓	0.2b	(/.f64 (/.f64 (sin.f64 b) 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
✓	0.2b	(*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))
	1.5b	(cos.f64 (+.f64 b a))

Compiler

Compiled 45 to 21 computations (53.3% saved)

series10.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	r	@	0	(*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))
2.0ms	a	@	0	(/.f64 (/.f64 (sin.f64 b) 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
1.0ms	b	@	inf	(*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))
1.0ms	a	@	-inf	(*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))
1.0ms	b	@	-inf	(*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1276×	`rational.json-simplify-50`
1196×	`rational.json-simplify-2`
1174×	`rational.json-1`
1174×	`rational.json-2`
1174×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	116	62
2	335	50
3	1156	50
4	3825	50

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

Inputs
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))
(/.f64 (/.f64 (sin.f64 b) 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))

Outputs

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

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

simplify145.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational.json-simplify-2`
1150×	`rational.json-simplify-43`
1100×	`rational.json-simplify-44`
1088×	`rational.json-simplify-61`
1086×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	393	7375
1	975	7173
2	2196	7123
3	6916	7091

Stop Event

1×	node limit

Counts

207 → 230

Calls

Call 1

Inputs
(*.f64 2 (/.f64 (cos.f64 a) r))
(+.f64 (.f64 2 (/.f64 (cos.f64 a) r)) (.f64 -2 (/.f64 (*.f64 (sin.f64 a) b) r)))
(+.f64 (.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 a) b) r)) (+.f64 (.f64 1/3 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 3)) r)) (.f64 -1 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(.f64 2 (/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) r))
(.f64 2 (/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) r))
(.f64 2 (/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) r))
(.f64 2 (/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) r))
(*.f64 2 (/.f64 (cos.f64 b) r))
(+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 b) a) r)) (*.f64 2 (/.f64 (cos.f64 b) r)))
(+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 b) a) r)) (+.f64 (.f64 2 (/.f64 (cos.f64 b) r)) (.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (sin.f64 b) (pow.f64 a 3)) r)) (+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 b) a) r)) (+.f64 (.f64 2 (/.f64 (cos.f64 b) r)) (.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)))))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(.f64 2 (/.f64 (cos.f64 (-.f64 b (.f64 -1 a))) r))
(.f64 2 (/.f64 (cos.f64 (-.f64 b (.f64 -1 a))) r))
(.f64 2 (/.f64 (cos.f64 (-.f64 b (.f64 -1 a))) r))
(.f64 2 (/.f64 (cos.f64 (-.f64 b (.f64 -1 a))) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 b r) (cos.f64 a))
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(.f64 (+.f64 (/.f64 1/2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) (/.f64 1/2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))) (.f64 2 (sin.f64 b)))
(.f64 (+.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (.f64 r (sin.f64 b)))
(.f64 (+.f64 (/.f64 2 (cos.f64 (+.f64 b a))) (/.f64 2 (cos.f64 (+.f64 b a)))) (.f64 (.f64 (sin.f64 b) 1/2) (.f64 r 1/2)))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)

Outputs
(*.f64 2 (/.f64 (cos.f64 a) r))
(+.f64 (.f64 2 (/.f64 (cos.f64 a) r)) (.f64 -2 (/.f64 (*.f64 (sin.f64 a) b) r)))
(+.f64 (.f64 2 (/.f64 (cos.f64 a) r)) (.f64 -2 (*.f64 b (/.f64 (sin.f64 a) r))))
(+.f64 (.f64 2 (/.f64 (cos.f64 a) r)) (.f64 -2 (*.f64 (sin.f64 a) (/.f64 b r))))
(+.f64 (.f64 2 (/.f64 (cos.f64 a) r)) (.f64 (sin.f64 a) (*.f64 (/.f64 b r) -2)))
(+.f64 (.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (.f64 -2 (.f64 b (/.f64 (sin.f64 a) r))) (.f64 -1 (*.f64 (pow.f64 b 2) (/.f64 (cos.f64 a) r)))))
(+.f64 (.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (.f64 -2 (.f64 (sin.f64 a) (/.f64 b r))) (neg.f64 (.f64 (cos.f64 a) (/.f64 (pow.f64 b 2) r)))))
(+.f64 (.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (.f64 (sin.f64 a) (.f64 (/.f64 b r) -2)) (.f64 (pow.f64 b 2) (neg.f64 (/.f64 (cos.f64 a) r)))))
(+.f64 (.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (.f64 (sin.f64 a) (.f64 (/.f64 b r) -2)) (.f64 (cos.f64 a) (neg.f64 (/.f64 (pow.f64 b 2) r)))))
(+.f64 (.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 a) b) r)) (+.f64 (.f64 1/3 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 3)) r)) (.f64 -1 (/.f64 (*.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(+.f64 (.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (.f64 -2 (.f64 b (/.f64 (sin.f64 a) r))) (+.f64 (.f64 -1 (.f64 (pow.f64 b 2) (/.f64 (cos.f64 a) r))) (.f64 1/3 (*.f64 (pow.f64 b 3) (/.f64 (sin.f64 a) r))))))
(+.f64 (.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (neg.f64 (.f64 (cos.f64 a) (/.f64 (pow.f64 b 2) r))) (+.f64 (.f64 -2 (.f64 (sin.f64 a) (/.f64 b r))) (.f64 1/3 (.f64 (sin.f64 a) (/.f64 (pow.f64 b 3) r))))))
(+.f64 (.f64 (sin.f64 a) (.f64 (/.f64 b r) -2)) (+.f64 (.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (.f64 (pow.f64 b 2) (neg.f64 (/.f64 (cos.f64 a) r))) (.f64 (sin.f64 a) (.f64 (/.f64 (pow.f64 b 3) r) 1/3)))))
(+.f64 (.f64 (sin.f64 a) (.f64 (/.f64 b r) -2)) (+.f64 (.f64 2 (/.f64 (cos.f64 a) r)) (+.f64 (.f64 (cos.f64 a) (neg.f64 (/.f64 (pow.f64 b 2) r))) (.f64 (sin.f64 a) (.f64 (/.f64 (pow.f64 b 3) r) 1/3)))))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(.f64 2 (/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r))
(.f64 2 (/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r))
(.f64 2 (/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r))
(.f64 2 (/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r))
(*.f64 2 (/.f64 (cos.f64 b) r))
(+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 b) a) r)) (*.f64 2 (/.f64 (cos.f64 b) r)))
(+.f64 (.f64 2 (/.f64 (cos.f64 b) r)) (.f64 -2 (*.f64 a (/.f64 (sin.f64 b) r))))
(+.f64 (.f64 2 (/.f64 (cos.f64 b) r)) (.f64 -2 (*.f64 (sin.f64 b) (/.f64 a r))))
(+.f64 (.f64 2 (/.f64 (cos.f64 b) r)) (.f64 (/.f64 (sin.f64 b) r) (*.f64 -2 a)))
(+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 b) a) r)) (+.f64 (.f64 2 (/.f64 (cos.f64 b) r)) (.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r))))
(+.f64 (.f64 2 (/.f64 (cos.f64 b) r)) (+.f64 (.f64 -1 (.f64 (cos.f64 b) (/.f64 (pow.f64 a 2) r))) (.f64 -2 (*.f64 a (/.f64 (sin.f64 b) r)))))
(+.f64 (.f64 2 (/.f64 (cos.f64 b) r)) (+.f64 (.f64 -2 (.f64 (sin.f64 b) (/.f64 a r))) (neg.f64 (.f64 (cos.f64 b) (/.f64 (pow.f64 a 2) r)))))
(+.f64 (+.f64 (.f64 2 (/.f64 (cos.f64 b) r)) (.f64 (/.f64 (sin.f64 b) r) (.f64 -2 a))) (.f64 (cos.f64 b) (neg.f64 (/.f64 (pow.f64 a 2) r))))
(+.f64 (.f64 2 (/.f64 (cos.f64 b) r)) (+.f64 (.f64 (/.f64 (sin.f64 b) r) (.f64 -2 a)) (.f64 (/.f64 (pow.f64 a 2) r) (neg.f64 (cos.f64 b)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (sin.f64 b) (pow.f64 a 3)) r)) (+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 b) a) r)) (+.f64 (.f64 2 (/.f64 (cos.f64 b) r)) (.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) r)))))
(+.f64 (+.f64 (.f64 2 (/.f64 (cos.f64 b) r)) (+.f64 (.f64 -1 (.f64 (cos.f64 b) (/.f64 (pow.f64 a 2) r))) (.f64 -2 (.f64 a (/.f64 (sin.f64 b) r))))) (.f64 1/3 (*.f64 (pow.f64 a 3) (/.f64 (sin.f64 b) r))))
(+.f64 (+.f64 (.f64 2 (/.f64 (cos.f64 b) r)) (+.f64 (.f64 -2 (.f64 (sin.f64 b) (/.f64 a r))) (neg.f64 (.f64 (cos.f64 b) (/.f64 (pow.f64 a 2) r))))) (.f64 (pow.f64 a 3) (.f64 (/.f64 (sin.f64 b) r) 1/3)))
(+.f64 (.f64 (cos.f64 b) (neg.f64 (/.f64 (pow.f64 a 2) r))) (+.f64 (+.f64 (.f64 2 (/.f64 (cos.f64 b) r)) (.f64 (/.f64 (sin.f64 b) r) (.f64 -2 a))) (.f64 (/.f64 (sin.f64 b) r) (.f64 (pow.f64 a 3) 1/3))))
(+.f64 (.f64 (/.f64 (pow.f64 a 2) r) (neg.f64 (cos.f64 b))) (+.f64 (+.f64 (.f64 2 (/.f64 (cos.f64 b) r)) (.f64 (/.f64 (sin.f64 b) r) (.f64 -2 a))) (.f64 (/.f64 (sin.f64 b) r) (.f64 (pow.f64 a 3) 1/3))))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(.f64 2 (/.f64 (cos.f64 (-.f64 b (.f64 -1 a))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r))
(.f64 2 (/.f64 (cos.f64 (-.f64 b (.f64 -1 a))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r))
(.f64 2 (/.f64 (cos.f64 (-.f64 b (.f64 -1 a))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r))
(.f64 2 (/.f64 (cos.f64 (-.f64 b (.f64 -1 a))) r))
(*.f64 2 (/.f64 (cos.f64 (-.f64 a (neg.f64 b))) r))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) r)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (.f64 (*.f64 r (pow.f64 b 2)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (.f64 (sin.f64 a) (/.f64 (*.f64 r (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (.f64 r (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 -1 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (.f64 (.f64 r (pow.f64 b 2)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (+.f64 (.f64 b (/.f64 r (cos.f64 a))) (.f64 (sin.f64 a) (/.f64 (*.f64 r (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (+.f64 (.f64 b (/.f64 r (cos.f64 a))) (.f64 r (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (+.f64 (.f64 b (/.f64 r (cos.f64 a))) (.f64 r (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (/.f64 r (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (+.f64 (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 -1 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 -1 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (+.f64 (.f64 1/6 (.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (.f64 -1/2 (.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))) (.f64 (pow.f64 b 4) -1))) (.f64 (.f64 r (pow.f64 b 2)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (.f64 (sin.f64 a) (/.f64 (.f64 r (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 (+.f64 (neg.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (.f64 (.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) -1/3)) (neg.f64 (pow.f64 b 4))) (+.f64 (.f64 b (/.f64 r (cos.f64 a))) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a)))) (.f64 (.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) -1/3)) (neg.f64 (pow.f64 b 4))) (+.f64 (.f64 r (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (/.f64 r (pow.f64 (cos.f64 a) 3)))))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a)))) (.f64 (.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) -1/3)) (neg.f64 (pow.f64 b 4))) (+.f64 (.f64 r (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (/.f64 r (pow.f64 (cos.f64 a) 3))))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (neg.f64 b))))
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(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) -2) (/.f64 -1 (/.f64 2 r)))
(.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (.f64 -2 (/.f64 r -2)))
(.f64 (.f64 (sin.f64 b) (/.f64 -2 (cos.f64 (+.f64 a b)))) (/.f64 r -2))
(.f64 -2 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (*.f64 r -1/2)))
(.f64 (sin.f64 (neg.f64 b)) (/.f64 1 (.f64 1/2 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 -2 (.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 r 1/2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (neg.f64 r) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (.f64 r 1/2) (/.f64 (*.f64 2 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (/.f64 (sin.f64 b) (.f64 4 (/.f64 (cos.f64 (+.f64 b a)) r))) 4)
(.f64 4 (/.f64 (sin.f64 b) (.f64 4 (/.f64 (cos.f64 (+.f64 a b)) r))))
(*.f64 4 (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (/.f64 (sin.f64 b) 4))))
(.f64 r (.f64 4 (/.f64 (sin.f64 b) (*.f64 4 (cos.f64 (+.f64 a b))))))
(.f64 (.f64 4 (/.f64 (sin.f64 b) (/.f64 2 r))) (/.f64 1/2 (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (/.f64 1 (/.f64 2 r)) (/.f64 (.f64 2 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (.f64 (sin.f64 b) 1/2) (*.f64 2 (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (.f64 (sin.f64 b) 1/2) (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (/.f64 1/2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) (*.f64 (sin.f64 b) 4))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (/.f64 2 r)) (*.f64 2 (sin.f64 b))))
(.f64 2 (.f64 2 (*.f64 (sin.f64 b) (/.f64 (/.f64 r 4) (cos.f64 (+.f64 a b))))))
(.f64 (sin.f64 b) (.f64 4 (/.f64 r (*.f64 4 (cos.f64 (+.f64 a b))))))
(*.f64 (/.f64 2 (/.f64 2 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (/.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4)) (+.f64 r r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 2 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 2 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 4 (/.f64 (sin.f64 b) (/.f64 2 r))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (.f64 2 (/.f64 1 (/.f64 2 r))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (.f64 2 (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 2 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (.f64 2 (/.f64 1 (cos.f64 (+.f64 b a)))) (.f64 (sin.f64 b) (.f64 r 1/2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (.f64 2 (/.f64 1 (cos.f64 (+.f64 b a)))) (.f64 (.f64 r 1/2) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (.f64 1/2 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r))) (*.f64 (sin.f64 b) 4))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (.f64 2 (/.f64 1/2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))) (.f64 2 (sin.f64 b)))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (/.f64 2 r)) (*.f64 2 (sin.f64 b))))
(.f64 2 (.f64 2 (*.f64 (sin.f64 b) (/.f64 (/.f64 r 4) (cos.f64 (+.f64 a b))))))
(.f64 (sin.f64 b) (.f64 4 (/.f64 r (*.f64 4 (cos.f64 (+.f64 a b))))))
(.f64 (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (.f64 1/2 (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r))) (*.f64 2 (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 2 (/.f64 2 r))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (.f64 (*.f64 r 1/2) (/.f64 2 (cos.f64 (+.f64 b a)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r 1/2)) (.f64 2 (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (.f64 (.f64 r 1/2) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (.f64 (sin.f64 b) 4))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (/.f64 1 (.f64 2 (/.f64 2 r))) (*.f64 4 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(.f64 4 (/.f64 (sin.f64 b) (.f64 4 (/.f64 (cos.f64 (+.f64 a b)) r))))
(*.f64 4 (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (/.f64 (sin.f64 b) 4))))
(.f64 r (.f64 4 (/.f64 (sin.f64 b) (*.f64 4 (cos.f64 (+.f64 a b))))))
(.f64 (/.f64 1 (.f64 (/.f64 2 r) 1/2)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (/.f64 -1 (/.f64 2 r)) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) -2))
(.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (.f64 -2 (/.f64 r -2)))
(.f64 (.f64 (sin.f64 b) (/.f64 -2 (cos.f64 (+.f64 a b)))) (/.f64 r -2))
(.f64 -2 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (*.f64 r -1/2)))
(.f64 (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) r)) (.f64 (sin.f64 b) 1/2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (.f64 (/.f64 2 r) 4))) (.f64 (sin.f64 b) 8))
(.f64 (.f64 (sin.f64 b) 8) (/.f64 1 (.f64 (/.f64 2 r) (.f64 4 (cos.f64 (+.f64 a b))))))
(.f64 8 (.f64 (/.f64 (/.f64 r 2) (*.f64 4 (cos.f64 (+.f64 a b)))) (sin.f64 b)))
(.f64 (.f64 (sin.f64 b) 8) (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) 8)))
(.f64 (/.f64 1 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4)) (*.f64 r 4))
(.f64 4 (/.f64 (sin.f64 b) (.f64 4 (/.f64 (cos.f64 (+.f64 a b)) r))))
(*.f64 4 (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (/.f64 (sin.f64 b) 4))))
(.f64 r (.f64 4 (/.f64 (sin.f64 b) (*.f64 4 (cos.f64 (+.f64 a b))))))
(*.f64 (/.f64 2 (/.f64 4 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (+.f64 r r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (/.f64 1 (/.f64 4 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (.f64 r 4))
(.f64 4 (/.f64 (sin.f64 b) (.f64 4 (/.f64 (cos.f64 (+.f64 a b)) r))))
(*.f64 4 (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (/.f64 (sin.f64 b) 4))))
(.f64 r (.f64 4 (/.f64 (sin.f64 b) (*.f64 4 (cos.f64 (+.f64 a b))))))
(.f64 (/.f64 (.f64 (sin.f64 b) -2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) -1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (/.f64 -1 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) (*.f64 (sin.f64 b) -2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (/.f64 (.f64 2 (sin.f64 b)) (*.f64 (/.f64 2 r) (neg.f64 (cos.f64 (+.f64 b a))))) -1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (/.f64 1 (.f64 (/.f64 2 r) (neg.f64 (cos.f64 (+.f64 b a))))) (*.f64 (sin.f64 b) -2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) -2) (/.f64 2 r)) -1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (/.f64 (sin.f64 b) (.f64 1/2 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))) -1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (/.f64 1 (.f64 1/2 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))) (sin.f64 (neg.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) -1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 (neg.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (neg.f64 r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (+.f64 (/.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4)) (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4))) r)
(.f64 r (+.f64 (/.f64 2 (.f64 4 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) (/.f64 2 (*.f64 4 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))))
(*.f64 r (+.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (/.f64 1/2 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
(.f64 (+.f64 (/.f64 1/2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) (/.f64 1/2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))) (.f64 2 (sin.f64 b)))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (/.f64 2 r)) (*.f64 2 (sin.f64 b))))
(.f64 2 (.f64 2 (*.f64 (sin.f64 b) (/.f64 (/.f64 r 4) (cos.f64 (+.f64 a b))))))
(.f64 (sin.f64 b) (.f64 4 (/.f64 r (*.f64 4 (cos.f64 (+.f64 a b))))))
(.f64 (+.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (.f64 r (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (+.f64 (/.f64 2 (cos.f64 (+.f64 b a))) (/.f64 2 (cos.f64 (+.f64 b a)))) (.f64 (.f64 (sin.f64 b) 1/2) (.f64 r 1/2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))

localize45.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 b (/.f64 r (cos.f64 a)))
✓	0.1b	(/.f64 r (cos.f64 a))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series7.0ms (0%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(*.f64 b (/.f64 r (cos.f64 a)))
1.0ms	r	@	0	(/.f64 r (cos.f64 a))
1.0ms	r	@	0	(*.f64 b (/.f64 r (cos.f64 a)))
1.0ms	b	@	inf	(*.f64 b (/.f64 r (cos.f64 a)))
0.0ms	r	@	inf	(/.f64 r (cos.f64 a))

rewrite102.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1782×	`rational.json-1`
1782×	`rational.json-2`
1782×	`rational.json-4`
1782×	`rational.json-3`
1774×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	62	28
2	158	28
3	394	28
4	1029	28
5	4646	28

Stop Event

1×	node limit

Counts

2 → 195

Calls

Call 1

Inputs
(/.f64 r (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))

Outputs

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

simplify104.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1688×	`rational.json-simplify-35`
922×	`rational.json-simplify-51`
778×	`rational.json-simplify-44`
762×	`rational.json-simplify-61`
672×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	474	5203
1	1658	5015
2	5729	4927

Stop Event

1×	node limit

Counts

235 → 264

Calls

Call 1

Inputs
r
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) r)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 r) (.f64 1/24 r)))) r))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 r) (.f64 1/24 r)))) (+.f64 r (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 -1/720 r) (+.f64 (.f64 1/48 r) (.f64 1/2 (+.f64 (.f64 -1/4 r) (*.f64 1/24 r))))))))))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b r)
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/48 (.f64 r b)) (+.f64 (.f64 -1/720 (.f64 b r)) (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r)))))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (*.f64 b r))))))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(+.f64 (/.f64 r (cos.f64 a)) 0)
(+.f64 0 (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 (.f64 r 1/2) (cos.f64 a)) (/.f64 (.f64 r 1/2) (cos.f64 a)))
(-.f64 (/.f64 r (cos.f64 a)) 0)
(*.f64 r (/.f64 1 (cos.f64 a)))
(.f64 r (.f64 (*.f64 2 (/.f64 1 (cos.f64 a))) 1/2))
(.f64 r (.f64 (/.f64 2 (cos.f64 a)) 1/2))
(.f64 (cos.f64 a) (/.f64 (/.f64 1 r) (.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r))))
(*.f64 (/.f64 r (cos.f64 a)) 1)
(*.f64 1 (/.f64 r (cos.f64 a)))
(*.f64 (+.f64 r r) (/.f64 1/2 (cos.f64 a)))
(*.f64 -1 (/.f64 r (neg.f64 (cos.f64 a))))
(.f64 -1 (.f64 (/.f64 r (neg.f64 (cos.f64 a))) 1))
(.f64 -1 (/.f64 (+.f64 r r) (neg.f64 (.f64 (cos.f64 a) 2))))
(.f64 2 (/.f64 (.f64 r 1/2) (cos.f64 a)))
(.f64 (.f64 r (/.f64 2 (cos.f64 a))) 1/2)
(.f64 (.f64 r 4) (/.f64 1/2 (*.f64 (cos.f64 a) 2)))
(.f64 (.f64 r 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 a))))
(.f64 (.f64 r 4) (.f64 (/.f64 1/2 (.f64 (cos.f64 a) 2)) 1))
(.f64 (.f64 r 4) (*.f64 1/4 (/.f64 1 (cos.f64 a))))
(*.f64 (/.f64 1 (cos.f64 a)) r)
(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r)))
(*.f64 (neg.f64 r) (/.f64 -1 (cos.f64 a)))
(.f64 (neg.f64 r) (.f64 (/.f64 -1 (cos.f64 a)) 1))
(.f64 (/.f64 (cos.f64 a) r) (/.f64 1 (.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r))))
(.f64 (/.f64 (cos.f64 a) r) (/.f64 2 (.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (/.f64 2 r)))))
(.f64 (.f64 (cos.f64 a) (/.f64 2 r)) (/.f64 1 (.f64 (/.f64 (cos.f64 a) r) (.f64 (cos.f64 a) (/.f64 2 r)))))
(.f64 (.f64 (cos.f64 a) (/.f64 2 r)) (/.f64 1/2 (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r))))
(.f64 4 (/.f64 r (.f64 (cos.f64 a) 4)))
(*.f64 4 (/.f64 (/.f64 r (cos.f64 a)) 4))
(.f64 (.f64 (/.f64 r (cos.f64 a)) 4) 1/4)
(.f64 (.f64 r 8) (/.f64 1 (*.f64 (cos.f64 a) 8)))
(.f64 1/2 (.f64 r (/.f64 2 (cos.f64 a))))
(.f64 (/.f64 1 r) (/.f64 (cos.f64 a) (.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r))))
(.f64 (/.f64 1 r) (/.f64 (.f64 (cos.f64 a) 2) (.f64 (/.f64 (cos.f64 a) r) (.f64 (cos.f64 a) (/.f64 2 r)))))
(*.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 r r))
(.f64 (.f64 r -2) (/.f64 1/2 (neg.f64 (cos.f64 a))))
(.f64 (.f64 r -2) (/.f64 1 (*.f64 (cos.f64 a) -2)))
(.f64 (.f64 r -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 a) 2))))
(.f64 (.f64 2 (/.f64 1 (cos.f64 a))) (*.f64 r 1/2))
(*.f64 (/.f64 r (neg.f64 (cos.f64 a))) -1)
(.f64 (.f64 (cos.f64 a) (/.f64 1/2 r)) (/.f64 2 (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r))))
(.f64 (/.f64 1/2 r) (/.f64 (.f64 (cos.f64 a) 2) (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r))))
(.f64 (/.f64 2 (cos.f64 a)) (.f64 r 1/2))
(.f64 (/.f64 (.f64 r 1/2) (cos.f64 a)) 2)
(.f64 (/.f64 2 r) (/.f64 (cos.f64 a) (.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (/.f64 2 r)))))
(.f64 (/.f64 -1 r) (/.f64 (neg.f64 (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r))))
(.f64 1/4 (.f64 (/.f64 r (cos.f64 a)) 4))
(.f64 (.f64 r 1/2) (/.f64 2 (cos.f64 a)))
(.f64 (/.f64 1/2 (.f64 (cos.f64 a) 2)) (*.f64 r 4))
(*.f64 (/.f64 -1 (cos.f64 a)) (neg.f64 r))
(pow.f64 (/.f64 r (cos.f64 a)) 1)
(neg.f64 (/.f64 r (neg.f64 (cos.f64 a))))
(+.f64 (*.f64 r (/.f64 b (cos.f64 a))) 0)
(+.f64 0 (*.f64 r (/.f64 b (cos.f64 a))))
(-.f64 (*.f64 r (/.f64 b (cos.f64 a))) 0)
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 r (*.f64 (/.f64 (cos.f64 a) b) 1))
(/.f64 r (*.f64 -1 (/.f64 (cos.f64 a) (neg.f64 b))))
(/.f64 (/.f64 r (cos.f64 a)) (/.f64 1 b))
(/.f64 (/.f64 r (cos.f64 a)) (*.f64 (/.f64 1 b) 1))
(/.f64 (/.f64 r (cos.f64 a)) (*.f64 1/2 (/.f64 2 b)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r (/.f64 b (cos.f64 a))) 1)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 1 (.f64 (/.f64 (cos.f64 a) (.f64 r b)) 1))
(/.f64 (+.f64 r r) (*.f64 (cos.f64 a) (/.f64 2 b)))
(/.f64 (+.f64 r r) (+.f64 (/.f64 (cos.f64 a) b) (/.f64 (cos.f64 a) b)))
(/.f64 (+.f64 r r) (.f64 (.f64 (cos.f64 a) (/.f64 2 b)) 1))
(/.f64 (+.f64 r r) (*.f64 -2 (/.f64 (cos.f64 a) (neg.f64 b))))
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(/.f64 -1 (*.f64 (neg.f64 (/.f64 (cos.f64 a) r)) (/.f64 1 b)))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 2 (+.f64 (/.f64 (cos.f64 a) (.f64 r b)) (/.f64 (cos.f64 a) (.f64 r b))))
(/.f64 2 (.f64 (.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)) 1))
(/.f64 (+.f64 b b) (*.f64 (cos.f64 a) (/.f64 2 r)))
(/.f64 (.f64 r (.f64 2 (/.f64 b (cos.f64 a)))) 2)
(/.f64 (*.f64 r (/.f64 2 (cos.f64 a))) (/.f64 2 b))
(/.f64 (*.f64 r (/.f64 2 (cos.f64 a))) (+.f64 (/.f64 1 b) (/.f64 1 b)))
(/.f64 (.f64 r (/.f64 2 (cos.f64 a))) (.f64 2 (/.f64 1 b)))
(/.f64 (.f64 r (/.f64 2 (cos.f64 a))) (.f64 (/.f64 2 b) 1))
(/.f64 (.f64 r 4) (+.f64 (.f64 (cos.f64 a) (/.f64 2 b)) (*.f64 (cos.f64 a) (/.f64 2 b))))
(/.f64 (.f64 r 4) (/.f64 (.f64 (cos.f64 a) 4) b))
(/.f64 (.f64 r 4) (.f64 4 (/.f64 (cos.f64 a) b)))
(/.f64 (.f64 r 4) (.f64 (*.f64 (cos.f64 a) 4) (/.f64 1 b)))
(/.f64 (.f64 r 4) (.f64 2 (*.f64 (cos.f64 a) (/.f64 2 b))))
(/.f64 (.f64 r 4) (.f64 (*.f64 (cos.f64 a) 2) (/.f64 2 b)))
(/.f64 (.f64 r 4) (.f64 -4 (/.f64 (cos.f64 a) (neg.f64 b))))
(/.f64 (*.f64 r 4) (/.f64 4 (/.f64 b (cos.f64 a))))
(/.f64 (/.f64 1 (cos.f64 a)) (/.f64 (/.f64 1 r) b))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(/.f64 (neg.f64 r) (/.f64 (cos.f64 a) (neg.f64 b)))
(/.f64 (neg.f64 r) (*.f64 (/.f64 (cos.f64 a) (neg.f64 b)) 1))
(/.f64 (neg.f64 r) (/.f64 (neg.f64 (*.f64 (cos.f64 a) 2)) (+.f64 b b)))
(/.f64 (neg.f64 r) (/.f64 -1 (/.f64 b (cos.f64 a))))
(/.f64 (/.f64 (cos.f64 a) r) (.f64 (.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r)) (/.f64 1 b)))
(/.f64 (.f64 (cos.f64 a) (/.f64 2 r)) (.f64 (.f64 (/.f64 (cos.f64 a) r) (.f64 (cos.f64 a) (/.f64 2 r))) (/.f64 1 b)))
(/.f64 (.f64 (cos.f64 a) (/.f64 2 r)) (.f64 (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r)) (/.f64 2 b)))
(/.f64 4 (+.f64 (.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)) (.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b))))
(/.f64 4 (/.f64 (*.f64 (/.f64 (cos.f64 a) r) 4) b))
(/.f64 4 (.f64 (.f64 (/.f64 (cos.f64 a) r) 4) (/.f64 1 b)))
(/.f64 4 (.f64 (.f64 (cos.f64 a) (/.f64 2 r)) (/.f64 2 b)))
(/.f64 (.f64 (/.f64 r (cos.f64 a)) (.f64 b 4)) 4)
(/.f64 (.f64 b 4) (.f64 (/.f64 (cos.f64 a) r) 4))
(/.f64 (.f64 b 4) (.f64 (*.f64 (/.f64 (cos.f64 a) r) 4) 1))
(/.f64 (*.f64 (/.f64 r (cos.f64 a)) 4) (+.f64 (/.f64 2 b) (/.f64 2 b)))
(/.f64 (*.f64 (/.f64 r (cos.f64 a)) 4) (/.f64 4 b))
(/.f64 (.f64 (/.f64 r (cos.f64 a)) 4) (.f64 4 (/.f64 1 b)))
(/.f64 (.f64 (/.f64 r (cos.f64 a)) 4) (.f64 2 (/.f64 2 b)))
(/.f64 (.f64 r 8) (/.f64 (.f64 (cos.f64 a) 8) b))
(/.f64 (.f64 r 8) (.f64 8 (/.f64 (cos.f64 a) b)))
(/.f64 (.f64 r 8) (.f64 (*.f64 (cos.f64 a) 8) (/.f64 1 b)))
(/.f64 (.f64 r 8) (.f64 4 (*.f64 (cos.f64 a) (/.f64 2 b))))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(/.f64 1/2 (/.f64 (*.f64 (cos.f64 a) (/.f64 1/2 r)) b))
(/.f64 1/2 (/.f64 (/.f64 (cos.f64 a) r) (+.f64 b b)))
(/.f64 1/2 (/.f64 (/.f64 1/2 r) (/.f64 b (cos.f64 a))))
(/.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 (/.f64 1/2 r) b))
(/.f64 (*.f64 r -2) (+.f64 (/.f64 (cos.f64 a) (neg.f64 b)) (/.f64 (cos.f64 a) (neg.f64 b))))
(/.f64 (.f64 r -2) (/.f64 (.f64 (cos.f64 a) -2) b))
(/.f64 (.f64 r -2) (/.f64 (neg.f64 (.f64 (cos.f64 a) 2)) b))
(/.f64 (.f64 r -2) (.f64 (*.f64 (cos.f64 a) -2) (/.f64 1 b)))
(/.f64 (.f64 r -2) (.f64 (neg.f64 (*.f64 (cos.f64 a) 2)) (/.f64 1 b)))
(/.f64 (.f64 r -2) (.f64 (neg.f64 (cos.f64 a)) (/.f64 2 b)))
(/.f64 (.f64 r -2) (.f64 2 (/.f64 (cos.f64 a) (neg.f64 b))))
(/.f64 (.f64 (/.f64 r (cos.f64 a)) (/.f64 r (cos.f64 a))) (/.f64 (.f64 r (/.f64 2 (cos.f64 a))) (+.f64 b b)))
(/.f64 (.f64 2 (.f64 b 4)) (+.f64 (.f64 (/.f64 (cos.f64 a) r) 4) (.f64 (/.f64 (cos.f64 a) r) 4)))
(/.f64 (.f64 2 (.f64 b 4)) (*.f64 8 (/.f64 (cos.f64 a) r)))
(/.f64 (.f64 2 (.f64 (/.f64 r (cos.f64 a)) (*.f64 b 4))) 8)
(/.f64 (.f64 2 (.f64 (/.f64 r (cos.f64 a)) 4)) (*.f64 8 (/.f64 1 b)))
(/.f64 (.f64 2 (.f64 r 8)) (.f64 (.f64 2 (*.f64 (cos.f64 a) 8)) (/.f64 1 b)))
(/.f64 (*.f64 b (/.f64 1/2 (cos.f64 a))) (/.f64 1/2 r))
(/.f64 (.f64 (/.f64 (cos.f64 a) r) 4) (.f64 (.f64 (/.f64 (cos.f64 a) r) (.f64 (cos.f64 a) (/.f64 2 r))) (/.f64 2 b)))
(/.f64 (/.f64 r (neg.f64 (cos.f64 a))) (/.f64 -1 b))
(/.f64 (/.f64 r (neg.f64 (cos.f64 a))) (*.f64 -1 (/.f64 1 b)))
(/.f64 (.f64 (/.f64 (cos.f64 a) r) (.f64 r (/.f64 2 (cos.f64 a)))) (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 (/.f64 (*.f64 r 1/2) (cos.f64 a)) (/.f64 1 (+.f64 b b)))
(/.f64 (/.f64 (.f64 r 1/2) (cos.f64 a)) (.f64 1/2 (/.f64 1 b)))
(/.f64 (.f64 b 1/2) (.f64 (cos.f64 a) (/.f64 1/2 r)))
(/.f64 (*.f64 r (/.f64 (/.f64 b (cos.f64 a)) 2)) 1/2)
(/.f64 (neg.f64 (/.f64 r (cos.f64 a))) (/.f64 -1 b))
(/.f64 (neg.f64 b) (neg.f64 (/.f64 (cos.f64 a) r)))
(/.f64 (neg.f64 b) (*.f64 (neg.f64 (/.f64 (cos.f64 a) r)) 1))
(/.f64 (.f64 4 (neg.f64 r)) (.f64 (.f64 2 (.f64 (cos.f64 a) -2)) (/.f64 1 b)))
(/.f64 (.f64 4 (neg.f64 r)) (.f64 (.f64 2 (neg.f64 (.f64 (cos.f64 a) 2))) (/.f64 1 b)))
(/.f64 (.f64 4 (neg.f64 r)) (.f64 (neg.f64 (*.f64 (cos.f64 a) 4)) (/.f64 1 b)))
(/.f64 (.f64 4 (neg.f64 r)) (.f64 4 (/.f64 (cos.f64 a) (neg.f64 b))))
(/.f64 (neg.f64 (.f64 r -2)) (.f64 (cos.f64 a) (/.f64 2 b)))
(/.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (+.f64 (/.f64 1 r) (/.f64 1 r)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 r (cos.f64 a)) (.f64 b 4))) (.f64 2 (.f64 (/.f64 r (cos.f64 a)) (.f64 b 4)))) 16)
(/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (+.f64 (neg.f64 (/.f64 (cos.f64 a) r)) (neg.f64 (/.f64 (cos.f64 a) r))))
(/.f64 (/.f64 (*.f64 r 8) (/.f64 (cos.f64 a) b)) 8)
(/.f64 (/.f64 r (/.f64 1 b)) (cos.f64 a))
(/.f64 (/.f64 1 (/.f64 1 b)) (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 (+.f64 r r) (/.f64 1 b)) (*.f64 (cos.f64 a) 2))
(/.f64 (/.f64 -1 (/.f64 1 b)) (neg.f64 (/.f64 (cos.f64 a) r)))
(/.f64 (/.f64 2 (/.f64 1 b)) (*.f64 (cos.f64 a) (/.f64 2 r)))
(/.f64 (/.f64 (.f64 r 4) (/.f64 1 b)) (.f64 (cos.f64 a) 4))
(/.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 b)) (/.f64 1 r))
(/.f64 (/.f64 (neg.f64 r) (/.f64 1 b)) (neg.f64 (cos.f64 a)))
(/.f64 (/.f64 (/.f64 (cos.f64 a) r) (/.f64 1 b)) (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r)))
(/.f64 (/.f64 (.f64 (cos.f64 a) (/.f64 2 r)) (/.f64 1 b)) (.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (/.f64 2 r))))
(/.f64 (/.f64 4 (/.f64 1 b)) (*.f64 (/.f64 (cos.f64 a) r) 4))
(/.f64 (/.f64 (.f64 r 8) (/.f64 1 b)) (.f64 (cos.f64 a) 8))
(/.f64 (/.f64 (.f64 r -2) (/.f64 1 b)) (.f64 (cos.f64 a) -2))
(/.f64 (/.f64 (.f64 r -2) (/.f64 1 b)) (neg.f64 (.f64 (cos.f64 a) 2)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 r (cos.f64 a)) 4)) (/.f64 1 b)) 8)
(/.f64 (/.f64 (.f64 2 (.f64 r 8)) (/.f64 1 b)) (.f64 2 (.f64 (cos.f64 a) 8)))
(/.f64 (/.f64 (/.f64 r (neg.f64 (cos.f64 a))) (/.f64 1 b)) -1)
(/.f64 (/.f64 (.f64 4 (neg.f64 r)) (/.f64 1 b)) (.f64 2 (*.f64 (cos.f64 a) -2)))
(/.f64 (/.f64 (.f64 4 (neg.f64 r)) (/.f64 1 b)) (.f64 2 (neg.f64 (*.f64 (cos.f64 a) 2))))
(/.f64 (/.f64 (.f64 4 (neg.f64 r)) (/.f64 1 b)) (neg.f64 (.f64 (cos.f64 a) 4)))
(/.f64 (/.f64 (neg.f64 (.f64 r -2)) (/.f64 1 b)) (.f64 (cos.f64 a) 2))
(/.f64 (/.f64 (.f64 2 (.f64 b 4)) (/.f64 (cos.f64 a) r)) 8)
(/.f64 (/.f64 1 (/.f64 2 b)) (*.f64 (cos.f64 a) (/.f64 1/2 r)))
(/.f64 (/.f64 (+.f64 r r) (/.f64 2 b)) (cos.f64 a))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 (.f64 r 4) (/.f64 2 b)) (.f64 (cos.f64 a) 2))
(/.f64 (/.f64 (.f64 (cos.f64 a) (/.f64 2 r)) (/.f64 2 b)) (.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r)))
(/.f64 (/.f64 4 (/.f64 2 b)) (*.f64 (cos.f64 a) (/.f64 2 r)))
(/.f64 (/.f64 (*.f64 r -2) (/.f64 2 b)) (neg.f64 (cos.f64 a)))
(/.f64 (/.f64 (.f64 (/.f64 (cos.f64 a) r) 4) (/.f64 2 b)) (.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (/.f64 2 r))))
(/.f64 (/.f64 (.f64 (/.f64 (cos.f64 a) r) (.f64 r (/.f64 2 (cos.f64 a)))) (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 r (/.f64 (cos.f64 a) (neg.f64 b))) -1)
(/.f64 (/.f64 (+.f64 r r) (/.f64 (cos.f64 a) (neg.f64 b))) -2)
(/.f64 (/.f64 (*.f64 r 4) (/.f64 (cos.f64 a) (neg.f64 b))) -4)
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 (cos.f64 a) (neg.f64 b))) 4)
(/.f64 (/.f64 b (/.f64 1 r)) (cos.f64 a))
(/.f64 (/.f64 (+.f64 b b) (cos.f64 a)) (/.f64 2 r))
(/.f64 (/.f64 b (neg.f64 (cos.f64 a))) (/.f64 -1 r))
(/.f64 (/.f64 b 1/2) (*.f64 (cos.f64 a) (/.f64 2 r)))
(/.f64 (neg.f64 (+.f64 b b)) (-.f64 0 (*.f64 (cos.f64 a) (/.f64 2 r))))
(/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (-.f64 0 (/.f64 1 r)))
(/.f64 (neg.f64 (neg.f64 b)) (/.f64 (cos.f64 a) r))
(pow.f64 (*.f64 r (/.f64 b (cos.f64 a))) 1)

Outputs
r
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) r)
(+.f64 r (.f64 (pow.f64 a 2) (.f64 r 1/2)))
(+.f64 r (.f64 r (.f64 1/2 (pow.f64 a 2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 r) (.f64 1/24 r)))) r))
(+.f64 (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 r -1/4) (.f64 r 1/24)) -1)) (+.f64 r (.f64 (pow.f64 a 2) (.f64 r 1/2))))
(+.f64 r (+.f64 (.f64 (pow.f64 a 4) (neg.f64 (.f64 r -5/24))) (.f64 r (.f64 1/2 (pow.f64 a 2)))))
(+.f64 r (+.f64 (.f64 r (.f64 1/2 (pow.f64 a 2))) (.f64 (pow.f64 a 4) (neg.f64 (.f64 r -5/24)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 r) (.f64 1/24 r)))) (+.f64 r (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 -1/720 r) (+.f64 (.f64 1/48 r) (.f64 1/2 (+.f64 (.f64 -1/4 r) (*.f64 1/24 r))))))))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 r 1/2)) (+.f64 r (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 r 1/48) (+.f64 (.f64 1/2 (+.f64 (.f64 r -1/4) (.f64 r 1/24))) (.f64 r -1/720))))) (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 r -1/4) (*.f64 r 1/24)) -1)))))
(+.f64 r (+.f64 (.f64 -1 (+.f64 (.f64 (pow.f64 a 4) (.f64 r -5/24)) (.f64 (pow.f64 a 6) (+.f64 (.f64 r 1/48) (+.f64 (.f64 r -1/720) (.f64 1/2 (.f64 r -5/24))))))) (.f64 r (.f64 1/2 (pow.f64 a 2)))))
(+.f64 r (+.f64 (.f64 r (.f64 1/2 (pow.f64 a 2))) (.f64 -1 (+.f64 (.f64 (pow.f64 a 4) (.f64 r -5/24)) (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (.f64 r -5/24)) (*.f64 r 7/360)))))))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b r)
(*.f64 r b)
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(+.f64 (.f64 r b) (.f64 (pow.f64 a 2) (.f64 (.f64 r b) 1/2)))
(+.f64 (.f64 r b) (.f64 (pow.f64 a 2) (.f64 1/2 (.f64 r b))))
(.f64 b (+.f64 r (.f64 r (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r)))))
(+.f64 (+.f64 (.f64 r b) (.f64 (pow.f64 a 2) (.f64 (.f64 r b) 1/2))) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 r (.f64 b -1/4)) (.f64 b (.f64 r 1/24))))))
(+.f64 (.f64 r b) (+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (.f64 r b))) (.f64 (pow.f64 a 4) (neg.f64 (.f64 (*.f64 r b) -5/24)))))
(+.f64 (.f64 b (+.f64 r (.f64 r (.f64 1/2 (pow.f64 a 2))))) (.f64 (.f64 b (.f64 r -5/24)) (neg.f64 (pow.f64 a 4))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/48 (.f64 r b)) (+.f64 (.f64 -1/720 (.f64 b r)) (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r)))))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (*.f64 b r))))))
(+.f64 (.f64 (pow.f64 a 6) (.f64 (+.f64 (.f64 r (.f64 b 1/48)) (+.f64 (.f64 -1/720 (.f64 r b)) (.f64 1/2 (+.f64 (.f64 r (.f64 b -1/4)) (.f64 b (.f64 r 1/24)))))) -1)) (+.f64 (+.f64 (.f64 r b) (.f64 (pow.f64 a 2) (.f64 (.f64 r b) 1/2))) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 r (.f64 b -1/4)) (.f64 b (*.f64 r 1/24)))))))
(+.f64 (.f64 r b) (+.f64 (+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (.f64 r b))) (.f64 (pow.f64 a 6) (neg.f64 (+.f64 (.f64 r (.f64 b -1/720)) (+.f64 (.f64 r (.f64 1/48 b)) (.f64 1/2 (.f64 (.f64 r b) -5/24))))))) (.f64 (pow.f64 a 4) (neg.f64 (.f64 (*.f64 r b) -5/24)))))
(+.f64 (.f64 b (+.f64 r (.f64 r (.f64 1/2 (pow.f64 a 2))))) (.f64 -1 (+.f64 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (.f64 b (.f64 r -5/24))) (.f64 (.f64 r b) 7/360))) (.f64 (pow.f64 a 4) (.f64 b (*.f64 r -5/24))))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 r (cos.f64 a)) 0)
(/.f64 r (cos.f64 a))
(+.f64 0 (/.f64 r (cos.f64 a)))
(/.f64 r (cos.f64 a))
(+.f64 (/.f64 (.f64 r 1/2) (cos.f64 a)) (/.f64 (.f64 r 1/2) (cos.f64 a)))
(/.f64 r (cos.f64 a))
(-.f64 (/.f64 r (cos.f64 a)) 0)
(/.f64 r (cos.f64 a))
(*.f64 r (/.f64 1 (cos.f64 a)))
(/.f64 r (cos.f64 a))
(.f64 r (.f64 (*.f64 2 (/.f64 1 (cos.f64 a))) 1/2))
(.f64 (.f64 r 1/2) (*.f64 2 (/.f64 1 (cos.f64 a))))
(.f64 r (.f64 (/.f64 1 (cos.f64 a)) 1))
(.f64 r (.f64 (/.f64 2 (cos.f64 a)) 1/2))
(/.f64 r (cos.f64 a))
(.f64 (cos.f64 a) (/.f64 (/.f64 1 r) (.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r))))
(.f64 (cos.f64 a) (/.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 a) (.f64 r r))) r))
(.f64 (cos.f64 a) (/.f64 (/.f64 (/.f64 1 r) (/.f64 (cos.f64 a) (.f64 r r))) (cos.f64 a)))
(.f64 (cos.f64 a) (/.f64 (/.f64 (.f64 r r) (*.f64 (cos.f64 a) (cos.f64 a))) r))
(*.f64 (/.f64 r (cos.f64 a)) 1)
(/.f64 r (cos.f64 a))
(*.f64 1 (/.f64 r (cos.f64 a)))
(/.f64 r (cos.f64 a))
(*.f64 (+.f64 r r) (/.f64 1/2 (cos.f64 a)))
(*.f64 -1 (/.f64 r (neg.f64 (cos.f64 a))))
(/.f64 r (cos.f64 a))
(.f64 -1 (.f64 (/.f64 r (neg.f64 (cos.f64 a))) 1))
(/.f64 r (cos.f64 a))
(.f64 -1 (/.f64 (+.f64 r r) (neg.f64 (.f64 (cos.f64 a) 2))))
(/.f64 r (cos.f64 a))
(.f64 2 (/.f64 (.f64 r 1/2) (cos.f64 a)))
(/.f64 r (cos.f64 a))
(.f64 (.f64 r (/.f64 2 (cos.f64 a))) 1/2)
(/.f64 r (cos.f64 a))
(.f64 (.f64 r 4) (/.f64 1/2 (*.f64 (cos.f64 a) 2)))
(.f64 r (.f64 4 (/.f64 1/2 (*.f64 2 (cos.f64 a)))))
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(/.f64 (*.f64 b (/.f64 r (cos.f64 a))) (/.f64 (/.f64 (cos.f64 a) r) (/.f64 (cos.f64 a) r)))
(/.f64 (/.f64 (*.f64 r 1/2) (cos.f64 a)) (/.f64 1 (+.f64 b b)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (.f64 r 1/2) (cos.f64 a)) (.f64 1/2 (/.f64 1 b)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (.f64 b 1/2) (.f64 (cos.f64 a) (/.f64 1/2 r)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r (/.f64 (/.f64 b (cos.f64 a)) 2)) 1/2)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (neg.f64 (/.f64 r (cos.f64 a))) (/.f64 -1 b))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (neg.f64 b) (neg.f64 (/.f64 (cos.f64 a) r)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (neg.f64 b) (*.f64 (neg.f64 (/.f64 (cos.f64 a) r)) 1))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (.f64 4 (neg.f64 r)) (.f64 (.f64 2 (.f64 (cos.f64 a) -2)) (/.f64 1 b)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (.f64 4 (neg.f64 r)) (.f64 (.f64 2 (neg.f64 (.f64 (cos.f64 a) 2))) (/.f64 1 b)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (.f64 4 (neg.f64 r)) (.f64 (neg.f64 (*.f64 (cos.f64 a) 4)) (/.f64 1 b)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (.f64 4 (neg.f64 r)) (.f64 4 (/.f64 (cos.f64 a) (neg.f64 b))))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (neg.f64 (.f64 r -2)) (.f64 (cos.f64 a) (/.f64 2 b)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (+.f64 (/.f64 1 r) (/.f64 1 r)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 r (cos.f64 a)) (.f64 b 4))) (.f64 2 (.f64 (/.f64 r (cos.f64 a)) (.f64 b 4)))) 16)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (+.f64 (neg.f64 (/.f64 (cos.f64 a) r)) (neg.f64 (/.f64 (cos.f64 a) r))))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 r 8) (/.f64 (cos.f64 a) b)) 8)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 r (/.f64 1 b)) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 1 (/.f64 1 b)) (/.f64 (cos.f64 a) r))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (+.f64 r r) (/.f64 1 b)) (*.f64 (cos.f64 a) 2))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 -1 (/.f64 1 b)) (neg.f64 (/.f64 (cos.f64 a) r)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 2 (/.f64 1 b)) (*.f64 (cos.f64 a) (/.f64 2 r)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (.f64 r 4) (/.f64 1 b)) (.f64 (cos.f64 a) 4))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 b)) (/.f64 1 r))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (neg.f64 r) (/.f64 1 b)) (neg.f64 (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (/.f64 (cos.f64 a) r) (/.f64 1 b)) (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r)))
(/.f64 (/.f64 (cos.f64 a) r) (.f64 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r))) (/.f64 1 b)))
(/.f64 b (.f64 (/.f64 r (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))))
(/.f64 r (/.f64 (/.f64 (cos.f64 a) r) (/.f64 b (/.f64 r (/.f64 (cos.f64 a) (cos.f64 a))))))
(/.f64 (/.f64 (.f64 (cos.f64 a) (/.f64 2 r)) (/.f64 1 b)) (.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (/.f64 2 r))))
(.f64 (/.f64 2 r) (/.f64 (cos.f64 a) (.f64 (.f64 (/.f64 (cos.f64 a) r) (.f64 (cos.f64 a) (/.f64 2 r))) (/.f64 1 b))))
(.f64 (cos.f64 a) (/.f64 (/.f64 2 r) (.f64 (/.f64 (cos.f64 a) r) (.f64 (/.f64 2 r) (.f64 (cos.f64 a) (/.f64 1 b))))))
(.f64 (cos.f64 a) (/.f64 (/.f64 2 r) (.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 2 r) (/.f64 (cos.f64 a) b)))))
(/.f64 (/.f64 4 (/.f64 1 b)) (*.f64 (/.f64 (cos.f64 a) r) 4))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (.f64 r 8) (/.f64 1 b)) (.f64 (cos.f64 a) 8))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (.f64 r -2) (/.f64 1 b)) (.f64 (cos.f64 a) -2))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (.f64 r -2) (/.f64 1 b)) (neg.f64 (.f64 (cos.f64 a) 2)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 r (cos.f64 a)) 4)) (/.f64 1 b)) 8)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (.f64 2 (.f64 r 8)) (/.f64 1 b)) (.f64 2 (.f64 (cos.f64 a) 8)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (/.f64 r (neg.f64 (cos.f64 a))) (/.f64 1 b)) -1)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (.f64 4 (neg.f64 r)) (/.f64 1 b)) (.f64 2 (*.f64 (cos.f64 a) -2)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (.f64 4 (neg.f64 r)) (/.f64 1 b)) (.f64 2 (neg.f64 (*.f64 (cos.f64 a) 2))))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (.f64 4 (neg.f64 r)) (/.f64 1 b)) (neg.f64 (.f64 (cos.f64 a) 4)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (neg.f64 (.f64 r -2)) (/.f64 1 b)) (.f64 (cos.f64 a) 2))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (.f64 2 (.f64 b 4)) (/.f64 (cos.f64 a) r)) 8)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 1 (/.f64 2 b)) (*.f64 (cos.f64 a) (/.f64 1/2 r)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (+.f64 r r) (/.f64 2 b)) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (.f64 r 4) (/.f64 2 b)) (.f64 (cos.f64 a) 2))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (.f64 (cos.f64 a) (/.f64 2 r)) (/.f64 2 b)) (.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) r) r)))
(/.f64 (/.f64 (.f64 (/.f64 2 r) (/.f64 (cos.f64 a) (/.f64 2 b))) (cos.f64 a)) (/.f64 (cos.f64 a) (.f64 r r)))
(.f64 (/.f64 2 r) (/.f64 (/.f64 (cos.f64 a) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))) (/.f64 2 b)))
(/.f64 (/.f64 4 (/.f64 2 b)) (*.f64 (cos.f64 a) (/.f64 2 r)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 r -2) (/.f64 2 b)) (neg.f64 (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (.f64 (/.f64 (cos.f64 a) r) 4) (/.f64 2 b)) (.f64 (/.f64 (cos.f64 a) r) (*.f64 (cos.f64 a) (/.f64 2 r))))
(/.f64 (.f64 4 (/.f64 (cos.f64 a) r)) (.f64 (.f64 (/.f64 (cos.f64 a) r) (.f64 (cos.f64 a) (/.f64 2 r))) (/.f64 2 b)))
(/.f64 (.f64 (/.f64 (cos.f64 a) r) (+.f64 b b)) (.f64 (cos.f64 a) (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 r))))
(/.f64 (/.f64 (.f64 (/.f64 (cos.f64 a) r) (.f64 r (/.f64 2 (cos.f64 a)))) (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) (/.f64 b (/.f64 2 (.f64 (/.f64 (cos.f64 a) r) (.f64 r (/.f64 2 (cos.f64 a))))))))
(/.f64 r (/.f64 (cos.f64 a) (.f64 (/.f64 (cos.f64 a) r) (.f64 b (/.f64 r (cos.f64 a))))))
(/.f64 (*.f64 b (/.f64 r (cos.f64 a))) (/.f64 (/.f64 (cos.f64 a) r) (/.f64 (cos.f64 a) r)))
(/.f64 (/.f64 r (/.f64 (cos.f64 a) (neg.f64 b))) -1)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (+.f64 r r) (/.f64 (cos.f64 a) (neg.f64 b))) -2)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 r 4) (/.f64 (cos.f64 a) (neg.f64 b))) -4)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 (cos.f64 a) (neg.f64 b))) 4)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 b (/.f64 1 r)) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 (+.f64 b b) (cos.f64 a)) (/.f64 2 r))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 b (neg.f64 (cos.f64 a))) (/.f64 -1 r))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (/.f64 b 1/2) (*.f64 (cos.f64 a) (/.f64 2 r)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (neg.f64 (+.f64 b b)) (-.f64 0 (*.f64 (cos.f64 a) (/.f64 2 r))))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (-.f64 0 (/.f64 1 r)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (neg.f64 (neg.f64 b)) (/.f64 (cos.f64 a) r))
(*.f64 b (/.f64 r (cos.f64 a)))
(pow.f64 (*.f64 r (/.f64 b (cos.f64 a))) 1)
(*.f64 b (/.f64 r (cos.f64 a)))

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 b)
✓	0.2b	(/.f64 (cos.f64 (+.f64 b a)) r)
✓	0.2b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
	1.5b	(cos.f64 (+.f64 b a))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series3.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
0.0ms	b	@	0	(/.f64 (cos.f64 (+.f64 b a)) r)
0.0ms	r	@	-inf	(/.f64 (cos.f64 (+.f64 b a)) r)
0.0ms	a	@	0	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
0.0ms	a	@	0	(/.f64 (cos.f64 (+.f64 b a)) r)

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1900×	`rational.json-1`
1900×	`rational.json-2`
1900×	`rational.json-3`
1554×	`rational.json-simplify-35`
906×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	83	44
2	246	44
3	747	44
4	2590	44
5	6696	44

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (cos.f64 (+.f64 b a)) r)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 2)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 2)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (/.f64 (*.f64 (sin.f64 b) 2) (cos.f64 (+.f64 b a)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 4) (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 r) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 1 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 r (/.f64 (*.f64 (sin.f64 b) 2) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 2)) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1/2) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sin.f64 b))) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)) (*.f64 (sin.f64 b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4)) (*.f64 r 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)) (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))))))

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

simplify206.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1010×	`rational.json-simplify-1`
910×	`rational.json-simplify-51`
710×	`rational.json-simplify-2`
696×	`rational.json-simplify-35`
688×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	276	4869
1	631	4709
2	1367	4707
3	3795	4653
4	6151	4653

Stop Event

1×	node limit

Counts

151 → 165

Calls

Call 1

Inputs
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (cos.f64 a) r)
(+.f64 (/.f64 (cos.f64 a) r) (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 b) r)
(+.f64 (/.f64 (cos.f64 b) r) (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r)))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r))))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r)) (.f64 1/6 (/.f64 (.f64 (sin.f64 b) (pow.f64 a 3)) r)))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(+.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 0)
(+.f64 0 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))
(-.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 0)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)
(.f64 1 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))
(.f64 (+.f64 r r) (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) 2)))
(.f64 (.f64 (sin.f64 b) 2) (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)))
(.f64 (.f64 (sin.f64 b) 2) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1/2))
(.f64 (.f64 (sin.f64 b) 2) (.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) 2)) r))
(*.f64 -1 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(.f64 2 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))
(.f64 2 (/.f64 r (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))
(.f64 2 (/.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2))
(.f64 2 (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 2)) r))
(.f64 2 (.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)))
(.f64 (.f64 r (/.f64 (*.f64 (sin.f64 b) 2) (cos.f64 (+.f64 b a)))) 1/2)
(.f64 (.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)))
(.f64 (.f64 r 4) (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (neg.f64 r) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 1 (sin.f64 b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 1 (sin.f64 b))))
(.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)) (.f64 (sin.f64 b) 2))
(.f64 1/2 (.f64 r (/.f64 (*.f64 (sin.f64 b) 2) (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) 2)) (+.f64 r r))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1/2) (*.f64 (sin.f64 b) 2))
(*.f64 (/.f64 1 (/.f64 1 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 b))) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) -1)
(*.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) 2)
(.f64 (/.f64 r (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) 2)
(.f64 (/.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)) (*.f64 (sin.f64 b) 4))
(.f64 (/.f64 1 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4)) (*.f64 r 4))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (sin.f64 b)))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (neg.f64 r))
(*.f64 (+.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)) (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r))) (sin.f64 b))
(pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(+.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 0)
(+.f64 0 (/.f64 (cos.f64 (+.f64 b a)) r))
(-.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 0)
(-.f64 0 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 r))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)
(*.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r))
(.f64 (.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1/2 r))
(.f64 (.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (/.f64 1 r) 1/2))
(.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 1/2)
(*.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r)))
(*.f64 2 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2))
(.f64 2 (.f64 (/.f64 1/2 r) (cos.f64 (+.f64 b a))))
(.f64 (.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) 1/4)
(.f64 (.f64 (cos.f64 (+.f64 b a)) 4) (/.f64 1 (*.f64 r 4)))
(*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) -1)
(*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 -1 r))
(.f64 (.f64 2 (/.f64 1 r)) (/.f64 (cos.f64 (+.f64 b a)) 2))
(.f64 1/2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(.f64 (/.f64 1/2 r) (.f64 (cos.f64 (+.f64 b a)) 2))
(.f64 (.f64 (/.f64 1 r) 1/2) (*.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r)) 2)
(.f64 (/.f64 (cos.f64 (+.f64 b a)) 2) (.f64 2 (/.f64 1 r)))
(.f64 1/4 (.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4))
(*.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2) 2)
(.f64 (/.f64 1 (.f64 r 4)) (*.f64 (cos.f64 (+.f64 b a)) 4))
(*.f64 (/.f64 -1 r) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 (+.f64 (/.f64 1/2 r) (/.f64 1/2 r)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))

Outputs
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (/.f64 (.f64 r (*.f64 (pow.f64 b 2) (sin.f64 a))) (pow.f64 (cos.f64 a) 2)))
(+.f64 (.f64 r (/.f64 b (cos.f64 a))) (.f64 (sin.f64 a) (/.f64 (*.f64 r (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (.f64 r (/.f64 b (cos.f64 a))) (.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) (/.f64 r (pow.f64 (cos.f64 a) 2)))))
(.f64 r (+.f64 (/.f64 b (cos.f64 a)) (.f64 (pow.f64 b 2) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 -1 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (/.f64 (.f64 r (.f64 (pow.f64 b 2) (sin.f64 a))) (pow.f64 (cos.f64 a) 2))))
(+.f64 (.f64 r (/.f64 b (cos.f64 a))) (+.f64 (.f64 (sin.f64 a) (/.f64 (.f64 r (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))))
(+.f64 (.f64 r (/.f64 b (cos.f64 a))) (+.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) (/.f64 r (pow.f64 (cos.f64 a) 2)))) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (*.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))))
(+.f64 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (.f64 (pow.f64 b 2) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (/.f64 r (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(+.f64 (/.f64 (.f64 r (.f64 (pow.f64 b 2) (sin.f64 a))) (pow.f64 (cos.f64 a) 2)) (+.f64 (.f64 b (/.f64 r (cos.f64 a))) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 -1 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 -1 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (+.f64 (.f64 1/6 (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2))))) (.f64 (pow.f64 b 4) -1)))))
(+.f64 (.f64 (sin.f64 a) (/.f64 (.f64 r (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 (+.f64 (neg.f64 (.f64 (sin.f64 a) (/.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a)))) (.f64 (.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) -1/3)) (neg.f64 (pow.f64 b 4))) (+.f64 (.f64 r (/.f64 b (cos.f64 a))) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))))
(+.f64 (.f64 r (/.f64 b (cos.f64 a))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a)))) (.f64 (.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) 2))) -1/3)) (neg.f64 (pow.f64 b 4))) (+.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) (/.f64 r (pow.f64 (cos.f64 a) 2)))) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 r (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))))
(+.f64 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (.f64 (pow.f64 b 2) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (/.f64 r (pow.f64 (cos.f64 a) 3))))))) (.f64 (+.f64 (.f64 (sin.f64 a) (neg.f64 (/.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (/.f64 r (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a)))) (.f64 (*.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) -1/3)) (neg.f64 (pow.f64 b 4)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (.f64 b -1))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (.f64 b -1))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (.f64 b -1))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (.f64 b -1))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) (.f64 (*.f64 r a) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))
(+.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (/.f64 a (pow.f64 (cos.f64 b) 2))))
(+.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (.f64 a (*.f64 r (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)))))
(.f64 r (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 a (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (.f64 (.f64 r a) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))))))
(+.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (+.f64 (.f64 (.f64 r (pow.f64 (sin.f64 b) 2)) (/.f64 a (pow.f64 (cos.f64 b) 2))) (.f64 (pow.f64 a 2) (neg.f64 (+.f64 (neg.f64 (.f64 r (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))) (.f64 -1/2 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))))))))
(+.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (+.f64 (.f64 a (.f64 r (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)))) (.f64 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r)) (.f64 -1/2 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) (neg.f64 (pow.f64 a 2)))))
(+.f64 (.f64 r (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 a (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))) (.f64 (.f64 r (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (neg.f64 (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (.f64 (.f64 r a) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (+.f64 (+.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))))))) (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b))) (+.f64 (.f64 -1/2 (.f64 r (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)))) (.f64 1/6 (.f64 r (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))))))))
(+.f64 (+.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (+.f64 (.f64 (.f64 r (pow.f64 (sin.f64 b) 2)) (/.f64 a (pow.f64 (cos.f64 b) 2))) (.f64 (pow.f64 a 2) (neg.f64 (+.f64 (neg.f64 (.f64 r (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))) (.f64 -1/2 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))))))) (.f64 (pow.f64 a 3) (neg.f64 (+.f64 (.f64 (+.f64 (neg.f64 (.f64 r (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))) (.f64 -1/2 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))) (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (.f64 r (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) -1/3)))))
(+.f64 (.f64 a (.f64 r (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)))) (+.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (.f64 -1 (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r)) (.f64 -1/2 (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) (.f64 (pow.f64 a 3) (+.f64 (.f64 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r)) (.f64 -1/2 (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (*.f64 r (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) -1/3)))))))
(+.f64 (.f64 r (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 a (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))) (.f64 -1 (+.f64 (.f64 (pow.f64 a 2) (.f64 r (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (.f64 (pow.f64 a 3) (+.f64 (.f64 (sin.f64 b) (/.f64 (.f64 r (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b))) (.f64 (.f64 r (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) -1/3))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (.f64 b -1))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (.f64 b -1))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (.f64 b -1))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (.f64 b -1))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a (neg.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
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(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) 2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 r (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) 2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2) 2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 1 (.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)) (*.f64 (sin.f64 b) 4))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 1 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 4)) (*.f64 r 4))
(.f64 r (.f64 4 (/.f64 1 (*.f64 4 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))
(.f64 (.f64 r 4) (/.f64 1/4 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) 1/4)) (.f64 r 4))
(.f64 (/.f64 (sin.f64 b) (.f64 4 (cos.f64 (+.f64 b a)))) (*.f64 r 4))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (neg.f64 r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (+.f64 (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)) (/.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(+.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 0)
(/.f64 (cos.f64 (+.f64 b a)) r)
(+.f64 0 (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (cos.f64 (+.f64 b a)) r)
(-.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 0)
(/.f64 (cos.f64 (+.f64 b a)) r)
(-.f64 0 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 r))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (cos.f64 (+.f64 b a)) r)
(.f64 (.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1/2 r))
(/.f64 (cos.f64 (+.f64 b a)) r)
(.f64 (.f64 (cos.f64 (+.f64 b a)) 2) (*.f64 (/.f64 1 r) 1/2))
(/.f64 (cos.f64 (+.f64 b a)) r)
(.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 1/2)
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 2 (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r)))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 2 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2))
(/.f64 (cos.f64 (+.f64 b a)) r)
(.f64 2 (.f64 (/.f64 1/2 r) (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (+.f64 b a)) r)
(.f64 (.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) 1/4)
(/.f64 (cos.f64 (+.f64 b a)) r)
(.f64 (.f64 (cos.f64 (+.f64 b a)) 4) (/.f64 1 (*.f64 r 4)))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) -1)
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 -1 r))
(/.f64 (cos.f64 (+.f64 b a)) r)
(.f64 (.f64 2 (/.f64 1 r)) (/.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (cos.f64 (+.f64 b a)) r)
(.f64 1/2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (cos.f64 (+.f64 b a)) r)
(.f64 (/.f64 1/2 r) (.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (cos.f64 (+.f64 b a)) r)
(.f64 (.f64 (/.f64 1 r) 1/2) (*.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r)) 2)
(/.f64 (cos.f64 (+.f64 b a)) r)
(.f64 (/.f64 (cos.f64 (+.f64 b a)) 2) (.f64 2 (/.f64 1 r)))
(/.f64 (cos.f64 (+.f64 b a)) r)
(.f64 1/4 (.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2) 2)
(/.f64 (cos.f64 (+.f64 b a)) r)
(.f64 (/.f64 1 (.f64 r 4)) (*.f64 (cos.f64 (+.f64 b a)) 4))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (/.f64 -1 r) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (+.f64 b a)) r)
(*.f64 (+.f64 (/.f64 1/2 r) (/.f64 1/2 r)) (cos.f64 (+.f64 b a)))
(*.f64 (cos.f64 (+.f64 b a)) (+.f64 (/.f64 1/2 r) (/.f64 1/2 r)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)
(/.f64 (cos.f64 (+.f64 b a)) r)
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (cos.f64 (+.f64 b a)) r)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (*.f64 r (sin.f64 b)) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 a b))))))
✓	0.4b	(+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 a b)))))
✓	0.5b	(-.f64 1 (neg.f64 (cos.f64 (+.f64 a b))))
	1.5b	(cos.f64 (+.f64 a b))

Compiler

Compiled 56 to 21 computations (62.5% saved)

series3.0ms (0%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(/.f64 (*.f64 r (sin.f64 b)) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 a b))))))
0.0ms	b	@	0	(/.f64 (*.f64 r (sin.f64 b)) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 a b))))))
0.0ms	a	@	0	(-.f64 1 (neg.f64 (cos.f64 (+.f64 a b))))
0.0ms	b	@	0	(-.f64 1 (neg.f64 (cos.f64 (+.f64 a b))))
0.0ms	b	@	-inf	(/.f64 (*.f64 r (sin.f64 b)) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 a b))))))

rewrite82.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`rational.json-simplify-2`
1230×	`rational.json-1`
1230×	`rational.json-2`
1230×	`rational.json-4`
1230×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	91
1	125	79
2	311	75
3	803	55
4	2300	55
5	4975	55

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

Inputs
(-.f64 1 (neg.f64 (cos.f64 (+.f64 a b))))
(+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 a b))))))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 a b)) 2)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 2) (/.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (+.f64 r r)) (/.f64 1/2 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (+.f64 r r)) (*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 b) (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 r (sin.f64 b)) (/.f64 1/2 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 r 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (*.f64 (sin.f64 b) 4)) (/.f64 1 (*.f64 (cos.f64 (+.f64 a b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (neg.f64 (sin.f64 b))) (/.f64 -1 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 a b)))) (*.f64 r 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 a b)))) (*.f64 (sin.f64 b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 1/2) (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 1/2) (*.f64 r (/.f64 2 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) (+.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) 2)) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b)))) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 1/2) (*.f64 (sin.f64 b) (+.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 r 1/2)) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 a b)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 (+.f64 a b))) (*.f64 r (neg.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 a b)) 4)) (*.f64 r (*.f64 (sin.f64 b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1/2) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 r (sin.f64 b)) (/.f64 1/2 (cos.f64 (+.f64 a b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))))))

simplify232.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1176×	`rational.json-simplify-51`
904×	`rational.json-simplify-2`
822×	`rational.json-simplify-46`
748×	`rational.json-simplify-1`
744×	`rational.json-simplify-45`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	323	5672
1	766	5480
2	1896	5438
3	5019	5404
4	7549	5404

Stop Event

1×	node limit

Counts

198 → 237

Calls

Call 1

Inputs
(+.f64 1 (cos.f64 b))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 1 (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))))
(+.f64 1 (cos.f64 (+.f64 a b)))
(+.f64 1 (cos.f64 (+.f64 a b)))
(+.f64 1 (cos.f64 (+.f64 a b)))
(+.f64 1 (cos.f64 (+.f64 a b)))
(+.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(+.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(+.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(+.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(+.f64 1 (cos.f64 a))
(+.f64 1 (+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b))))
(+.f64 1 (+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 1 (+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))))
(+.f64 1 (cos.f64 (+.f64 a b)))
(+.f64 1 (cos.f64 (+.f64 a b)))
(+.f64 1 (cos.f64 (+.f64 a b)))
(+.f64 1 (cos.f64 (+.f64 a b)))
(+.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(+.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(+.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(+.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(cos.f64 b)
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(+.f64 1 (cos.f64 (+.f64 a b)))
(+.f64 (+.f64 1 (cos.f64 (+.f64 a b))) 0)
(+.f64 -1 (-.f64 (cos.f64 (+.f64 a b)) -2))
(+.f64 (cos.f64 (+.f64 a b)) 1)
(+.f64 0 (+.f64 1 (cos.f64 (+.f64 a b))))
(+.f64 2 (+.f64 -1 (cos.f64 (+.f64 a b))))
(+.f64 (+.f64 -1 (cos.f64 (+.f64 a b))) 2)
(+.f64 (-.f64 (cos.f64 (+.f64 a b)) -2) -1)
(+.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 a b))) 2) (/.f64 (+.f64 1 (cos.f64 (+.f64 a b))) 2))
(*.f64 1 (+.f64 1 (cos.f64 (+.f64 a b))))
(*.f64 (+.f64 1 (cos.f64 (+.f64 a b))) 1)
(*.f64 -1 (-.f64 -1 (cos.f64 (+.f64 a b))))
(*.f64 2 (/.f64 (+.f64 1 (cos.f64 (+.f64 a b))) 2))
(.f64 (.f64 (+.f64 1 (cos.f64 (+.f64 a b))) 2) 1/2)
(*.f64 (-.f64 -1 (cos.f64 (+.f64 a b))) -1)
(.f64 1/2 (.f64 (+.f64 1 (cos.f64 (+.f64 a b))) 2))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 a b))) 2) 2)
(/.f64 (+.f64 1 (cos.f64 (+.f64 a b))) 1)
(/.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 a b))) 2) 2)
(/.f64 (-.f64 -1 (cos.f64 (+.f64 a b))) -1)
(/.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 a b))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 1 (cos.f64 (+.f64 a b))) 4)) 8)
(/.f64 (*.f64 2 (-.f64 -1 (cos.f64 (+.f64 a b)))) -2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 1 (cos.f64 (+.f64 a b))) 4))) 16)
(pow.f64 (+.f64 1 (cos.f64 (+.f64 a b))) 1)
(neg.f64 (-.f64 -1 (cos.f64 (+.f64 a b))))
(-.f64 1 (-.f64 1 (cos.f64 (+.f64 a b))))
(-.f64 (+.f64 1 (cos.f64 (+.f64 a b))) 1)
(-.f64 -1 (-.f64 -1 (cos.f64 (+.f64 a b))))
(-.f64 (cos.f64 (+.f64 a b)) 0)
(-.f64 0 (neg.f64 (cos.f64 (+.f64 a b))))
(-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b))))
(-.f64 -2 (-.f64 -2 (cos.f64 (+.f64 a b))))
(-.f64 (+.f64 -1 (cos.f64 (+.f64 a b))) -1)
(-.f64 (-.f64 (cos.f64 (+.f64 a b)) -2) 2)
(-.f64 (-.f64 -2 (neg.f64 (cos.f64 (+.f64 a b)))) -2)
(*.f64 1 (cos.f64 (+.f64 a b)))
(*.f64 -1 (neg.f64 (cos.f64 (+.f64 a b))))
(*.f64 (cos.f64 (+.f64 a b)) 1)
(.f64 (.f64 (cos.f64 (+.f64 a b)) 2) 1/2)
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) 2))
(.f64 (.f64 (cos.f64 (+.f64 a b)) 4) 1/4)
(*.f64 (neg.f64 (cos.f64 (+.f64 a b))) -1)
(.f64 1/2 (.f64 (cos.f64 (+.f64 a b)) 2))
(*.f64 (/.f64 (cos.f64 (+.f64 a b)) 2) 2)
(.f64 1/4 (.f64 (cos.f64 (+.f64 a b)) 4))
(/.f64 (cos.f64 (+.f64 a b)) 1)
(/.f64 (*.f64 (cos.f64 (+.f64 a b)) 2) 2)
(/.f64 (*.f64 (cos.f64 (+.f64 a b)) -2) -2)
(/.f64 (*.f64 (cos.f64 (+.f64 a b)) 4) 4)
(/.f64 (neg.f64 (cos.f64 (+.f64 a b))) -1)
(/.f64 (.f64 (.f64 (cos.f64 (+.f64 a b)) 2) 4) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (cos.f64 (+.f64 a b)) 2) 4)) 16)
(pow.f64 (cos.f64 (+.f64 a b)) 1)
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))
(cos.f64 (+.f64 a b))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (-.f64 (PI.f64) (+.f64 a (-.f64 b (PI.f64)))))
(cos.f64 (-.f64 (+.f64 a b) (-.f64 (neg.f64 (PI.f64)) (PI.f64))))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))))
(+.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 0)
(+.f64 0 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))))
(+.f64 (/.f64 (.f64 r (sin.f64 b)) (.f64 (cos.f64 (+.f64 a b)) 2)) (/.f64 (.f64 r (sin.f64 b)) (.f64 (cos.f64 (+.f64 a b)) 2)))
(+.f64 (/.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 2) (/.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 2))
(-.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 0)
(-.f64 0 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))
(.f64 1 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))))
(.f64 -1 (/.f64 (.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 1)
(.f64 (.f64 (sin.f64 b) (+.f64 r r)) (/.f64 1/2 (cos.f64 (+.f64 a b))))
(.f64 (.f64 (sin.f64 b) (+.f64 r r)) (*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 1/2))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(.f64 2 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 a b)) 2)))
(.f64 2 (/.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 2))
(.f64 2 (.f64 (sin.f64 b) (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) 2))))
(.f64 2 (.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b))))))
(.f64 2 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)))
(.f64 2 (.f64 (*.f64 r (sin.f64 b)) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sin.f64 b) 2) (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) 2)))
(.f64 (.f64 (sin.f64 b) 2) (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 r 1/2)))
(.f64 (.f64 (sin.f64 b) 2) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1/2))
(.f64 (+.f64 r r) (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 (+.f64 r r) (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) 2)) 1/2)
(.f64 (.f64 r (.f64 (sin.f64 b) 4)) (/.f64 1 (.f64 (cos.f64 (+.f64 a b)) 4)))
(.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(.f64 (.f64 r (neg.f64 (sin.f64 b))) (/.f64 -1 (cos.f64 (+.f64 a b))))
(.f64 (.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 a b)))) (*.f64 r 1/2))
(.f64 (.f64 r (/.f64 2 (cos.f64 (+.f64 a b)))) (*.f64 (sin.f64 b) 1/2))
(*.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) 2)))
(.f64 (.f64 r 1/2) (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sin.f64 b) 1/2) (*.f64 r (/.f64 2 (cos.f64 (+.f64 a b)))))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (.f64 (sin.f64 b) (+.f64 r r)))
(.f64 (/.f64 r (.f64 (cos.f64 (+.f64 a b)) 2)) (*.f64 (sin.f64 b) 2))
(.f64 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b)))) (+.f64 r r))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 1/2) (*.f64 (sin.f64 b) (+.f64 r r)))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 r 1/2)) (.f64 (sin.f64 b) 2))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)) (+.f64 r r))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) -1)
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 a b)) 2)) 2)
(.f64 (/.f64 -1 (cos.f64 (+.f64 a b))) (.f64 r (neg.f64 (sin.f64 b))))
(.f64 (/.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 2) 2)
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 a b)) 4)) (.f64 r (.f64 (sin.f64 b) 4)))
(.f64 (.f64 (sin.f64 b) (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) 2))) 2)
(.f64 (.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b))))) 2)
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)) 2)
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1/2) (*.f64 (sin.f64 b) 2))
(.f64 (.f64 (*.f64 r (sin.f64 b)) (/.f64 1/2 (cos.f64 (+.f64 a b)))) 2)
(pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 1)
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))

Outputs
(+.f64 1 (cos.f64 b))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 1 (cos.f64 b)))
(+.f64 (+.f64 1 (cos.f64 b)) (.f64 -1 (.f64 (sin.f64 b) a)))
(+.f64 (cos.f64 b) (+.f64 1 (*.f64 (sin.f64 b) (neg.f64 a))))
(+.f64 (+.f64 1 (cos.f64 b)) (*.f64 (sin.f64 b) (neg.f64 a)))
(+.f64 (cos.f64 b) (-.f64 1 (*.f64 (sin.f64 b) a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (cos.f64 b) (.f64 -1/2 (.f64 (cos.f64 b) (pow.f64 a 2))))))
(+.f64 1 (+.f64 (cos.f64 b) (+.f64 (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2)) (*.f64 (sin.f64 b) (neg.f64 a)))))
(+.f64 1 (+.f64 (cos.f64 b) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (*.f64 -1/2 (pow.f64 a 2))))))
(+.f64 (cos.f64 b) (+.f64 (.f64 (cos.f64 b) (.f64 -1/2 (pow.f64 a 2))) (-.f64 1 (*.f64 (sin.f64 b) a))))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (+.f64 1 (+.f64 (cos.f64 b) (.f64 -1/2 (.f64 (cos.f64 b) (pow.f64 a 2))))) (.f64 (sin.f64 b) (.f64 (pow.f64 a 3) 1/6))))
(+.f64 (+.f64 (cos.f64 b) (+.f64 1 (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2)))) (+.f64 (.f64 (sin.f64 b) (.f64 1/6 (pow.f64 a 3))) (*.f64 (sin.f64 b) (neg.f64 a))))
(+.f64 1 (+.f64 (+.f64 (cos.f64 b) (.f64 (cos.f64 b) (.f64 -1/2 (pow.f64 a 2)))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (.f64 1/6 (pow.f64 a 3))))))
(+.f64 (+.f64 (+.f64 1 (cos.f64 b)) (.f64 (cos.f64 b) (.f64 -1/2 (pow.f64 a 2)))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (.f64 1/6 (pow.f64 a 3)))))
(+.f64 1 (cos.f64 (+.f64 a b)))
(+.f64 1 (cos.f64 (+.f64 b a)))
(+.f64 1 (cos.f64 (+.f64 a b)))
(+.f64 1 (cos.f64 (+.f64 b a)))
(+.f64 1 (cos.f64 (+.f64 a b)))
(+.f64 1 (cos.f64 (+.f64 b a)))
(+.f64 1 (cos.f64 (+.f64 a b)))
(+.f64 1 (cos.f64 (+.f64 b a)))
(+.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(+.f64 1 (cos.f64 (-.f64 b (neg.f64 a))))
(+.f64 1 (cos.f64 (-.f64 (neg.f64 a) b)))
(+.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(+.f64 1 (cos.f64 (-.f64 b (neg.f64 a))))
(+.f64 1 (cos.f64 (-.f64 (neg.f64 a) b)))
(+.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(+.f64 1 (cos.f64 (-.f64 b (neg.f64 a))))
(+.f64 1 (cos.f64 (-.f64 (neg.f64 a) b)))
(+.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(+.f64 1 (cos.f64 (-.f64 b (neg.f64 a))))
(+.f64 1 (cos.f64 (-.f64 (neg.f64 a) b)))
(+.f64 1 (cos.f64 a))
(+.f64 1 (+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b))))
(+.f64 1 (+.f64 (cos.f64 a) (.f64 -1 (.f64 b (sin.f64 a)))))
(+.f64 (cos.f64 a) (-.f64 (*.f64 (sin.f64 a) (neg.f64 b)) -1))
(+.f64 1 (+.f64 (cos.f64 a) (*.f64 b (neg.f64 (sin.f64 a)))))
(+.f64 (cos.f64 a) (-.f64 1 (*.f64 b (sin.f64 a))))
(+.f64 1 (+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 b (sin.f64 a))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))) (cos.f64 a))))
(+.f64 1 (+.f64 (.f64 (sin.f64 a) (neg.f64 b)) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 1 (+.f64 (.f64 b (neg.f64 (sin.f64 a))) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))) (-.f64 1 (*.f64 b (sin.f64 a)))))
(+.f64 1 (+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))))
(+.f64 1 (+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 b (sin.f64 a))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))) (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3)))))))
(+.f64 1 (+.f64 (.f64 (sin.f64 a) (.f64 1/6 (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) (neg.f64 b)) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))))
(+.f64 1 (+.f64 (cos.f64 a) (+.f64 (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))) (.f64 (sin.f64 a) (+.f64 (.f64 1/6 (pow.f64 b 3)) (neg.f64 b))))))
(+.f64 (cos.f64 a) (+.f64 (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3)))) (+.f64 1 (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 1 (cos.f64 (+.f64 a b)))
(+.f64 1 (cos.f64 (+.f64 b a)))
(+.f64 1 (cos.f64 (+.f64 a b)))
(+.f64 1 (cos.f64 (+.f64 b a)))
(+.f64 1 (cos.f64 (+.f64 a b)))
(+.f64 1 (cos.f64 (+.f64 b a)))
(+.f64 1 (cos.f64 (+.f64 a b)))
(+.f64 1 (cos.f64 (+.f64 b a)))
(+.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(+.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(+.f64 1 (cos.f64 (-.f64 b (neg.f64 a))))
(+.f64 1 (cos.f64 (-.f64 (neg.f64 a) b)))
(+.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(+.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(+.f64 1 (cos.f64 (-.f64 b (neg.f64 a))))
(+.f64 1 (cos.f64 (-.f64 (neg.f64 a) b)))
(+.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(+.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(+.f64 1 (cos.f64 (-.f64 b (neg.f64 a))))
(+.f64 1 (cos.f64 (-.f64 (neg.f64 a) b)))
(+.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(+.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(+.f64 1 (cos.f64 (-.f64 b (neg.f64 a))))
(+.f64 1 (cos.f64 (-.f64 (neg.f64 a) b)))
(cos.f64 b)
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (cos.f64 b) (.f64 -1 (.f64 (sin.f64 b) a)))
(+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (cos.f64 b) (.f64 -1/2 (.f64 (cos.f64 b) (pow.f64 a 2)))))
(+.f64 (cos.f64 b) (+.f64 (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2)) (*.f64 (sin.f64 b) (neg.f64 a))))
(+.f64 (cos.f64 b) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (*.f64 -1/2 (pow.f64 a 2)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (+.f64 (cos.f64 b) (.f64 -1/2 (.f64 (cos.f64 b) (pow.f64 a 2)))) (.f64 (sin.f64 b) (.f64 (pow.f64 a 3) 1/6))))
(+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2)) (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (*.f64 1/6 (pow.f64 a 3))))))
(+.f64 (+.f64 (cos.f64 b) (.f64 (cos.f64 b) (.f64 -1/2 (pow.f64 a 2)))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (.f64 1/6 (pow.f64 a 3)))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (.f64 -1 (.f64 b (sin.f64 a))))
(+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))
(+.f64 (cos.f64 a) (*.f64 b (neg.f64 (sin.f64 a))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (.f64 -1 (.f64 b (sin.f64 a))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))) (cos.f64 a)))
(+.f64 (.f64 (sin.f64 a) (neg.f64 b)) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (.f64 b (neg.f64 (sin.f64 a))) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 b (neg.f64 (sin.f64 a))) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 b (sin.f64 a))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))) (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))))))
(+.f64 (.f64 (sin.f64 a) (.f64 1/6 (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) (neg.f64 b)) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))) (.f64 (sin.f64 a) (+.f64 (.f64 1/6 (pow.f64 b 3)) (neg.f64 b)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))) (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3))))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 (neg.f64 a) b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
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(.f64 2 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 2 (.f64 (*.f64 r (sin.f64 b)) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (.f64 (sin.f64 b) 2) (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) 2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (.f64 (sin.f64 b) 2) (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 r 1/2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (.f64 (sin.f64 b) 2) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1/2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (+.f64 r r) (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (+.f64 r r) (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) 2)) 1/2)
(.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (.f64 r 2))))
(.f64 1/2 (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) (.f64 (sin.f64 b) r))))
(.f64 1/2 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 r))))
(*.f64 1/2 (/.f64 (+.f64 r r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (.f64 r (.f64 (sin.f64 b) 4)) (/.f64 1 (.f64 (cos.f64 (+.f64 a b)) 4)))
(.f64 (.f64 (sin.f64 b) (.f64 4 r)) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) 4)))
(.f64 (sin.f64 b) (.f64 (*.f64 r 4) (/.f64 1/4 (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (sin.f64 b) (*.f64 r 4)) (/.f64 1/4 (cos.f64 (+.f64 b a))))
(.f64 (/.f64 1/4 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 r 4)))
(.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 r (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (.f64 r (neg.f64 (sin.f64 b))) (/.f64 -1 (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 a b)))) (*.f64 r 1/2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (.f64 r (/.f64 2 (cos.f64 (+.f64 a b)))) (*.f64 (sin.f64 b) 1/2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) 2)))
(.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (.f64 r 2))))
(.f64 1/2 (/.f64 2 (/.f64 (cos.f64 (+.f64 b a)) (.f64 (sin.f64 b) r))))
(.f64 1/2 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 1/2 r))))
(*.f64 1/2 (/.f64 (+.f64 r r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (.f64 r 1/2) (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (.f64 (sin.f64 b) 1/2) (*.f64 r (/.f64 2 (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (.f64 (sin.f64 b) (+.f64 r r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (/.f64 r (.f64 (cos.f64 (+.f64 a b)) 2)) (*.f64 (sin.f64 b) 2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b)))) (+.f64 r r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 1/2) (*.f64 (sin.f64 b) (+.f64 r r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 r 1/2)) (.f64 (sin.f64 b) 2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)) (+.f64 r r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) -1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 a b)) 2)) 2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (/.f64 -1 (cos.f64 (+.f64 a b))) (.f64 r (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (/.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 2) 2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 a b)) 4)) (.f64 r (.f64 (sin.f64 b) 4)))
(.f64 (.f64 (sin.f64 b) (.f64 4 r)) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) 4)))
(.f64 (sin.f64 b) (.f64 (*.f64 r 4) (/.f64 1/4 (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (sin.f64 b) (*.f64 r 4)) (/.f64 1/4 (cos.f64 (+.f64 b a))))
(.f64 (/.f64 1/4 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 r 4)))
(.f64 (.f64 (sin.f64 b) (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) 2))) 2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b))))) 2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)) 2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1/2) (*.f64 (sin.f64 b) 2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (.f64 (*.f64 r (sin.f64 b)) (/.f64 1/2 (cos.f64 (+.f64 a b)))) 2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 r (cos.f64 (+.f64 a b)))
✓	0.2b	(.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (.f64 2 (sin.f64 b))))
	1.5b	(cos.f64 (+.f64 a b))
✓	6.8b	(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (.f64 2 (sin.f64 b)))))

Compiler

Compiled 98 to 36 computations (63.3% saved)

series9.0ms (0%)

Counts

3 → 88

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (.f64 2 (sin.f64 b))))
1.0ms	a	@	0	(.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (.f64 2 (sin.f64 b))))
1.0ms	b	@	-inf	(.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (.f64 2 (sin.f64 b))))
1.0ms	b	@	inf	(.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (.f64 2 (sin.f64 b))))
1.0ms	a	@	inf	(.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (.f64 2 (sin.f64 b))))

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2126×	`rational.json-1`
2126×	`rational.json-2`
2126×	`rational.json-3`
1540×	`rational.json-simplify-35`
834×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	117
1	126	117
2	414	117
3	1893	61
4	6317	61

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs

(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (*.f64 2 (sin.f64 b)))))

(*.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (*.f64 2 (sin.f64 b))))

(/.f64 r (cos.f64 (+.f64 a b)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 1 (/.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (cos.f64 (+.f64 a b))))) (*.f64 2 (/.f64 (sin.f64 b) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 (/.f64 2 (*.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b))))) (/.f64 1 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (/.f64 2 (*.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 a b)) (*.f64 (/.f64 1 (*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))) (*.f64 2 (/.f64 (sin.f64 b) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 a b)) (*.f64 (/.f64 2 (/.f64 (cos.f64 (+.f64 a b)) (/.f64 r 4))) (*.f64 2 (/.f64 (sin.f64 b) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 2 (*.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (*.f64 (cos.f64 (+.f64 a b)) 1/2) (*.f64 2 (/.f64 (sin.f64 b) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (*.f64 2 (/.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (+.f64 a b)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (cos.f64 (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (cos.f64 (+.f64 a b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sin.f64 b) r) (/.f64 (*.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2)) (cos.f64 (+.f64 a b)))))))) 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((x *.f64 1 (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (/.f64 1 (*.f64 2 (/.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (*.f64 (/.f64 2 (*.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (*.f64 (cos.f64 (+.f64 a b)) 4))) (*.f64 2 (/.f64 (sin.f64 b) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (*.f64 (/.f64 1 (*.f64 2 (/.f64 r (sin.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (*.f64 (/.f64 1 (*.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b))))) (/.f64 1 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (*.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 a b)) 4)) (/.f64 2 (*.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (*.f64 1/2 (/.f64 1 (/.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 a b)) 2) (*.f64 (/.f64 1 (/.f64 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(2) ((x sin.f64 (-.f64 (PI.f64) b))))))

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

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

simplify1.8s (6.6%)

Algorithm

1×	egg-herbie

Rules

1052×	`rational.json-simplify-35`
1004×	`rational.json-simplify-49`
864×	`rational.json-simplify-44`
750×	`rational.json-simplify-47`
708×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	343	6885
1	915	6435
2	2286	5615
3	6207	5573

Stop Event

1×	node limit

Counts

175 → 183

Calls

Call 1

Inputs
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
b
(+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)
(+.f64 (.f64 -1/6 (pow.f64 b 3)) (+.f64 (.f64 1/120 (pow.f64 b 5)) b))
(+.f64 (.f64 -1/6 (pow.f64 b 3)) (+.f64 (.f64 1/120 (pow.f64 b 5)) (+.f64 b (*.f64 -1/5040 (pow.f64 b 7)))))
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 b)))
(+.f64 (/.f64 (.f64 a r) (pow.f64 (cos.f64 b) 2)) (/.f64 r (.f64 (sin.f64 b) (cos.f64 b))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 r (.f64 (sin.f64 b) (cos.f64 b)))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 3)))))) (+.f64 (/.f64 (.f64 a r) (pow.f64 (cos.f64 b) 2)) (/.f64 r (.f64 (sin.f64 b) (cos.f64 b)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 r (.f64 (sin.f64 b) (cos.f64 b)))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 3)))))) (+.f64 (/.f64 (.f64 a r) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1/2 (/.f64 r (.f64 (sin.f64 b) (cos.f64 b)))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 r (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 r (pow.f64 (cos.f64 b) 2))))) (pow.f64 a 3))) (/.f64 r (*.f64 (sin.f64 b) (cos.f64 b))))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (.f64 (sin.f64 b) (cos.f64 (-.f64 b (.f64 -1 a)))))
(/.f64 r (.f64 (sin.f64 b) (cos.f64 (-.f64 b (.f64 -1 a)))))
(/.f64 r (.f64 (sin.f64 b) (cos.f64 (-.f64 b (.f64 -1 a)))))
(/.f64 r (.f64 (sin.f64 b) (cos.f64 (-.f64 b (.f64 -1 a)))))
(/.f64 r (*.f64 (cos.f64 a) b))
(+.f64 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)) (/.f64 r (.f64 (cos.f64 a) b)))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 r (+.f64 (.f64 -1/2 (cos.f64 a)) (.f64 -1/6 (cos.f64 a)))) (pow.f64 (cos.f64 a) 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) b)) (+.f64 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)) (/.f64 r (*.f64 (cos.f64 a) b))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 r (+.f64 (.f64 -1/2 (cos.f64 a)) (.f64 -1/6 (cos.f64 a)))) (pow.f64 (cos.f64 a) 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) b)) (+.f64 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (.f64 (sin.f64 a) (+.f64 (/.f64 (.f64 r (+.f64 (.f64 -1/6 (cos.f64 a)) (.f64 -1/2 (cos.f64 a)))) (pow.f64 (cos.f64 a) 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (.f64 r (+.f64 (.f64 -1/2 (cos.f64 a)) (.f64 -1/6 (cos.f64 a))))) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 2))) (/.f64 r (*.f64 (cos.f64 a) b)))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (.f64 (sin.f64 b) (cos.f64 (-.f64 a (.f64 -1 b)))))
(/.f64 r (.f64 (sin.f64 b) (cos.f64 (-.f64 a (.f64 -1 b)))))
(/.f64 r (.f64 (sin.f64 b) (cos.f64 (-.f64 a (.f64 -1 b)))))
(/.f64 r (.f64 (sin.f64 b) (cos.f64 (-.f64 a (.f64 -1 b)))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 r (cos.f64 b))
(+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 r (cos.f64 b)))
(+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 b))) (.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2))) (/.f64 r (cos.f64 b))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 2))) (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 b))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)))) (pow.f64 a 3))) (+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 b))) (.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2))) (/.f64 r (cos.f64 b)))))
(/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 r (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 b r)) (pow.f64 (cos.f64 a) 2)) (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r b)) (pow.f64 (cos.f64 a) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 2))) (/.f64 r (cos.f64 a))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r b)) (pow.f64 (cos.f64 a) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (sin.f64 a)) (cos.f64 a)) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 2))) (/.f64 r (cos.f64 a)))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(+.f64 (sin.f64 b) 0)
(+.f64 0 (sin.f64 b))
(-.f64 (sin.f64 b) 0)
(*.f64 r (/.f64 1 (/.f64 r (sin.f64 b))))
(.f64 r (.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (cos.f64 (+.f64 a b))))) (.f64 2 (/.f64 (sin.f64 b) r))))
(.f64 r (.f64 (/.f64 2 (*.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b))))) (/.f64 1 (cos.f64 (+.f64 a b)))))
(.f64 r (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (/.f64 2 (*.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b)))))))
(.f64 (cos.f64 (+.f64 a b)) (.f64 (/.f64 1 (.f64 2 (/.f64 (cos.f64 (+.f64 a b)) r))) (.f64 2 (/.f64 (sin.f64 b) r))))
(.f64 (cos.f64 (+.f64 a b)) (.f64 (/.f64 2 (/.f64 (cos.f64 (+.f64 a b)) (/.f64 r 4))) (*.f64 2 (/.f64 (sin.f64 b) r))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 2 (.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b))))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (.f64 (cos.f64 (+.f64 a b)) 1/2) (.f64 2 (/.f64 (sin.f64 b) r))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (.f64 2 (/.f64 (sin.f64 b) r)) (.f64 (cos.f64 (+.f64 a b)) 1/2)))
(.f64 2 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (cos.f64 (+.f64 a b))))))
(.f64 2 (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (cos.f64 (+.f64 a b))))) 1))
(.f64 2 (.f64 (/.f64 (sin.f64 b) r) (/.f64 (.f64 (cos.f64 (+.f64 a b)) (.f64 r 1/2)) (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) 1)
(.f64 (sin.f64 b) (/.f64 2 (.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (cos.f64 (+.f64 a b))))))
(.f64 (sin.f64 b) (.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (cos.f64 (+.f64 a b))))) 1))
(.f64 (sin.f64 b) (.f64 (/.f64 2 r) (/.f64 (.f64 (cos.f64 (+.f64 a b)) (.f64 r 1/2)) (cos.f64 (+.f64 a b)))))
(.f64 (.f64 2 (sin.f64 b)) (/.f64 1 (*.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (cos.f64 (+.f64 a b))))))
(.f64 (.f64 2 (sin.f64 b)) (.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (cos.f64 (+.f64 a b))))) 1))
(.f64 (.f64 2 (sin.f64 b)) (.f64 (/.f64 1 r) (/.f64 (.f64 (cos.f64 (+.f64 a b)) (*.f64 r 1/2)) (cos.f64 (+.f64 a b)))))
(*.f64 1 (sin.f64 b))
(.f64 (+.f64 r r) (/.f64 1 (.f64 2 (/.f64 r (sin.f64 b)))))
(.f64 (+.f64 r r) (.f64 (/.f64 2 (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (.f64 (cos.f64 (+.f64 a b)) 4))) (*.f64 2 (/.f64 (sin.f64 b) r))))
(.f64 (+.f64 r r) (.f64 (/.f64 1 (*.f64 2 (/.f64 r (sin.f64 b)))) 1))
(.f64 (+.f64 r r) (.f64 (/.f64 1 (*.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b))))) (/.f64 1 (cos.f64 (+.f64 a b)))))
(.f64 (+.f64 r r) (.f64 (/.f64 2 (.f64 (cos.f64 (+.f64 a b)) 4)) (/.f64 2 (.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b)))))))
(.f64 (+.f64 r r) (.f64 1/2 (/.f64 1 (/.f64 r (sin.f64 b)))))
(.f64 (.f64 (cos.f64 (+.f64 a b)) 2) (.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (/.f64 r 4))) (.f64 2 (/.f64 (sin.f64 b) r))))
(.f64 (.f64 (sin.f64 b) 4) (/.f64 2 (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (.f64 (cos.f64 (+.f64 a b)) 4))))
(.f64 (.f64 (sin.f64 b) 4) (.f64 (/.f64 2 (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (*.f64 (cos.f64 (+.f64 a b)) 4))) 1))
(.f64 4 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (*.f64 2 (/.f64 2 (cos.f64 (+.f64 a b)))))))
(.f64 4 (.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (.f64 2 (/.f64 2 (cos.f64 (+.f64 a b)))))) 1))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2) (/.f64 1 (*.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b))))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2) (.f64 (/.f64 2 (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) 4)) (*.f64 2 (/.f64 (sin.f64 b) r))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2) (.f64 (/.f64 1 (.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b))))) 1))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2) (.f64 1/2 (/.f64 2 (.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b)))))))
(*.f64 (/.f64 (cos.f64 (+.f64 a b)) (/.f64 1 (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (.f64 (cos.f64 (+.f64 a b)) (.f64 r 1/2)) (cos.f64 (+.f64 a b))) (.f64 2 (/.f64 (sin.f64 b) r)))
(.f64 (/.f64 (.f64 2 (sin.f64 b)) (cos.f64 (+.f64 a b))) (*.f64 (cos.f64 (+.f64 a b)) 1/2))
(.f64 (.f64 (cos.f64 (+.f64 a b)) 1/2) (/.f64 (*.f64 2 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (/.f64 (cos.f64 (+.f64 a b)) (/.f64 1 (sin.f64 b))))
(.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 (.f64 (cos.f64 (+.f64 a b)) (.f64 r 1/2)) (*.f64 2 (/.f64 (sin.f64 b) r))))
(.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 (.f64 2 (sin.f64 b)) (.f64 (cos.f64 (+.f64 a b)) 1/2)))
(.f64 (/.f64 2 (.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b))))) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 1 (/.f64 r (sin.f64 b))) r)
(.f64 (.f64 2 (/.f64 (sin.f64 b) r)) (/.f64 (.f64 (cos.f64 (+.f64 a b)) (.f64 r 1/2)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (cos.f64 (+.f64 a b))))) (*.f64 2 (sin.f64 b)))
(.f64 (/.f64 2 (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (.f64 (cos.f64 (+.f64 a b)) 4))) (.f64 (sin.f64 b) 4))
(.f64 (/.f64 1 (.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2))
(.f64 (/.f64 2 (.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (cos.f64 (+.f64 a b))))) (sin.f64 b))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (cos.f64 (+.f64 a b))))) 2)
(.f64 (/.f64 1 (.f64 2 (/.f64 r (sin.f64 b)))) (+.f64 r r))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (*.f64 2 (/.f64 2 (cos.f64 (+.f64 a b)))))) 4)
(pow.f64 (sin.f64 b) 1)
(neg.f64 (neg.f64 (sin.f64 b)))
(sin.f64 b)
(sin.f64 (-.f64 (PI.f64) b))
(+.f64 (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (.f64 (/.f64 r (sin.f64 b)) 1/2)) 0)
(+.f64 0 (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (.f64 (/.f64 r (sin.f64 b)) 1/2)))
(-.f64 (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (.f64 (/.f64 r (sin.f64 b)) 1/2)) 0)
(/.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (*.f64 2 (/.f64 (sin.f64 b) r)))
(/.f64 (.f64 (/.f64 r (sin.f64 b)) 1/2) (.f64 (cos.f64 (+.f64 a b)) 1/2))
(/.f64 (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (.f64 (/.f64 r (sin.f64 b)) 1/2)) 1)
(/.f64 (*.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b)))) 2)
(/.f64 (.f64 2 (/.f64 2 (cos.f64 (+.f64 a b)))) (.f64 2 (*.f64 2 (/.f64 (sin.f64 b) r))))
(/.f64 (.f64 2 (.f64 (/.f64 r (sin.f64 b)) 1/2)) (.f64 2 (.f64 (cos.f64 (+.f64 a b)) 1/2)))
(/.f64 (.f64 2 (.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b))))) 4)
(/.f64 (neg.f64 (/.f64 2 (cos.f64 (+.f64 a b)))) (-.f64 0 (*.f64 2 (/.f64 (sin.f64 b) r))))
(/.f64 (neg.f64 (.f64 (/.f64 r (sin.f64 b)) 1/2)) (-.f64 0 (.f64 (cos.f64 (+.f64 a b)) 1/2)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b)))))) 8)
(pow.f64 (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (.f64 (/.f64 r (sin.f64 b)) 1/2)) 1)
(+.f64 (/.f64 r (cos.f64 (+.f64 a b))) 0)
(+.f64 0 (/.f64 r (cos.f64 (+.f64 a b))))
(-.f64 (/.f64 r (cos.f64 (+.f64 a b))) 0)
(*.f64 r (/.f64 1 (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1)
(*.f64 1 (/.f64 r (cos.f64 (+.f64 a b))))
(.f64 (+.f64 r r) (/.f64 2 (.f64 (cos.f64 (+.f64 a b)) 4)))
(.f64 (+.f64 r r) (.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 a b)) 4)) 1))
(.f64 (+.f64 r r) (.f64 1/2 (/.f64 1 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2) 1/2)
(*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) r)
(.f64 1/2 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2))
(.f64 (/.f64 2 (.f64 (cos.f64 (+.f64 a b)) 4)) (+.f64 r r))
(pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1)

Outputs
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
b
(+.f64 (*.f64 -1/6 (pow.f64 b 3)) b)
(+.f64 b (*.f64 -1/6 (pow.f64 b 3)))
(+.f64 (.f64 -1/6 (pow.f64 b 3)) (+.f64 (.f64 1/120 (pow.f64 b 5)) b))
(+.f64 (.f64 -1/6 (pow.f64 b 3)) (+.f64 b (.f64 1/120 (pow.f64 b 5))))
(+.f64 b (+.f64 (.f64 -1/6 (pow.f64 b 3)) (.f64 1/120 (pow.f64 b 5))))
(+.f64 (.f64 -1/6 (pow.f64 b 3)) (+.f64 (.f64 1/120 (pow.f64 b 5)) (+.f64 b (*.f64 -1/5040 (pow.f64 b 7)))))
(+.f64 (.f64 1/120 (pow.f64 b 5)) (+.f64 (+.f64 b (.f64 -1/5040 (pow.f64 b 7))) (*.f64 -1/6 (pow.f64 b 3))))
(+.f64 (.f64 -1/6 (pow.f64 b 3)) (+.f64 (.f64 -1/5040 (pow.f64 b 7)) (+.f64 b (*.f64 1/120 (pow.f64 b 5)))))
(+.f64 (.f64 -1/6 (pow.f64 b 3)) (+.f64 b (+.f64 (.f64 1/120 (pow.f64 b 5)) (*.f64 -1/5040 (pow.f64 b 7)))))
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(sin.f64 b)
(/.f64 r (*.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (/.f64 r (sin.f64 b)) (cos.f64 b))
(+.f64 (/.f64 (.f64 a r) (pow.f64 (cos.f64 b) 2)) (/.f64 r (.f64 (sin.f64 b) (cos.f64 b))))
(+.f64 (/.f64 (/.f64 r (sin.f64 b)) (cos.f64 b)) (/.f64 (*.f64 r a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (/.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 r (/.f64 a (pow.f64 (cos.f64 b) 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 r (.f64 (sin.f64 b) (cos.f64 b)))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 3)))))) (+.f64 (/.f64 (.f64 a r) (pow.f64 (cos.f64 b) 2)) (/.f64 r (.f64 (sin.f64 b) (cos.f64 b)))))
(+.f64 (/.f64 (.f64 r a) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (/.f64 r (sin.f64 b)) (cos.f64 b)) (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 (/.f64 (/.f64 r (sin.f64 b)) (cos.f64 b)) -1/2) (.f64 -1 (.f64 r (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 3)))))))))
(+.f64 (/.f64 (.f64 r a) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (/.f64 r (sin.f64 b)) (cos.f64 b)) (.f64 (+.f64 (.f64 (/.f64 (/.f64 r (sin.f64 b)) (cos.f64 b)) -1/2) (neg.f64 (.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) 3))))) (neg.f64 (pow.f64 a 2)))))
(+.f64 (/.f64 (/.f64 r (sin.f64 b)) (cos.f64 b)) (+.f64 (.f64 r (/.f64 a (pow.f64 (cos.f64 b) 2))) (.f64 (pow.f64 a 2) (neg.f64 (+.f64 (.f64 (/.f64 (/.f64 r (sin.f64 b)) (cos.f64 b)) -1/2) (.f64 r (neg.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 3)))))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 r (.f64 (sin.f64 b) (cos.f64 b)))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 3)))))) (+.f64 (/.f64 (.f64 a r) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1/2 (/.f64 r (.f64 (sin.f64 b) (cos.f64 b)))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 r (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 r (pow.f64 (cos.f64 b) 2))))) (pow.f64 a 3))) (/.f64 r (*.f64 (sin.f64 b) (cos.f64 b))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 (/.f64 (/.f64 r (sin.f64 b)) (cos.f64 b)) -1/2) (.f64 -1 (.f64 r (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 3))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (+.f64 (.f64 (/.f64 (/.f64 r (sin.f64 b)) (cos.f64 b)) -1/2) (.f64 -1 (.f64 r (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 3))))) (/.f64 (sin.f64 b) (cos.f64 b))) (+.f64 (.f64 -1/2 (/.f64 r (pow.f64 (cos.f64 b) 2))) (.f64 (/.f64 r (pow.f64 (cos.f64 b) 2)) 1/6))) (pow.f64 a 3))) (+.f64 (/.f64 (/.f64 r (sin.f64 b)) (cos.f64 b)) (/.f64 (.f64 r a) (pow.f64 (cos.f64 b) 2)))))
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(.f64 (sin.f64 b) (.f64 4 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) 4))))
(.f64 4 (.f64 1/2 (*.f64 1/2 (+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a)))))))
(*.f64 4 (/.f64 (+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a)))) 4))
(.f64 4 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (*.f64 2 (/.f64 2 (cos.f64 (+.f64 a b)))))))
(.f64 (sin.f64 b) (.f64 4 (/.f64 (/.f64 2 (/.f64 2 (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) 4))))
(.f64 (sin.f64 b) (.f64 4 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) 4))))
(.f64 4 (.f64 1/2 (*.f64 1/2 (+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a)))))))
(*.f64 4 (/.f64 (+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a)))) 4))
(.f64 4 (.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (.f64 2 (/.f64 2 (cos.f64 (+.f64 a b)))))) 1))
(.f64 (sin.f64 b) (.f64 4 (/.f64 (/.f64 2 (/.f64 2 (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) 4))))
(.f64 (sin.f64 b) (.f64 4 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) 4))))
(.f64 4 (.f64 1/2 (*.f64 1/2 (+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a)))))))
(*.f64 4 (/.f64 (+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a)))) 4))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2) (/.f64 1 (*.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b))))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 2 (cos.f64 (+.f64 b a)))) (.f64 (*.f64 2 (/.f64 (sin.f64 b) r)) r))
(.f64 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (/.f64 1 (cos.f64 (+.f64 b a))))) (.f64 r (*.f64 2 (/.f64 (sin.f64 b) r))))
(*.f64 r (+.f64 (/.f64 (sin.f64 b) r) (/.f64 0 (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2) (.f64 (/.f64 2 (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) 4)) (*.f64 2 (/.f64 (sin.f64 b) r))))
(.f64 (.f64 2 (/.f64 r (cos.f64 (+.f64 b a)))) (.f64 2 (.f64 (/.f64 (sin.f64 b) r) (/.f64 2 (*.f64 (/.f64 2 (cos.f64 (+.f64 b a))) 4)))))
(.f64 (/.f64 (cos.f64 (+.f64 b a)) 4) (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (sin.f64 b) r) 4)))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2) (.f64 (/.f64 1 (.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b))))) 1))
(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 2 (cos.f64 (+.f64 b a)))) (.f64 (*.f64 2 (/.f64 (sin.f64 b) r)) r))
(.f64 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (/.f64 1 (cos.f64 (+.f64 b a))))) (.f64 r (*.f64 2 (/.f64 (sin.f64 b) r))))
(*.f64 r (+.f64 (/.f64 (sin.f64 b) r) (/.f64 0 (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2) (.f64 1/2 (/.f64 2 (.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b)))))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 2 (cos.f64 (+.f64 b a)))) (.f64 (*.f64 2 (/.f64 (sin.f64 b) r)) r))
(.f64 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (/.f64 1 (cos.f64 (+.f64 b a))))) (.f64 r (*.f64 2 (/.f64 (sin.f64 b) r))))
(*.f64 r (+.f64 (/.f64 (sin.f64 b) r) (/.f64 0 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (cos.f64 (+.f64 a b)) (/.f64 1 (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 (sin.f64 b) (/.f64 2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (cos.f64 (+.f64 b a))))))
(*.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (.f64 (cos.f64 (+.f64 a b)) (.f64 r 1/2)) (cos.f64 (+.f64 a b))) (.f64 2 (/.f64 (sin.f64 b) r)))
(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 2 (cos.f64 (+.f64 b a)))) (.f64 (*.f64 2 (/.f64 (sin.f64 b) r)) r))
(.f64 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (/.f64 1 (cos.f64 (+.f64 b a))))) (.f64 r (*.f64 2 (/.f64 (sin.f64 b) r))))
(*.f64 r (+.f64 (/.f64 (sin.f64 b) r) (/.f64 0 (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 (.f64 2 (sin.f64 b)) (cos.f64 (+.f64 a b))) (*.f64 (cos.f64 (+.f64 a b)) 1/2))
(.f64 (sin.f64 b) (/.f64 2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (cos.f64 (+.f64 b a))))))
(*.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a))))
(.f64 (.f64 (cos.f64 (+.f64 a b)) 1/2) (/.f64 (*.f64 2 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(.f64 (sin.f64 b) (/.f64 2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (cos.f64 (+.f64 b a))))))
(*.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (/.f64 (cos.f64 (+.f64 a b)) (/.f64 1 (sin.f64 b))))
(.f64 (sin.f64 b) (/.f64 2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (cos.f64 (+.f64 b a))))))
(*.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a))))
(.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 (.f64 (cos.f64 (+.f64 a b)) (.f64 r 1/2)) (*.f64 2 (/.f64 (sin.f64 b) r))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 2 (cos.f64 (+.f64 b a)))) (.f64 (*.f64 2 (/.f64 (sin.f64 b) r)) r))
(.f64 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (/.f64 1 (cos.f64 (+.f64 b a))))) (.f64 r (*.f64 2 (/.f64 (sin.f64 b) r))))
(*.f64 r (+.f64 (/.f64 (sin.f64 b) r) (/.f64 0 (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 (.f64 2 (sin.f64 b)) (.f64 (cos.f64 (+.f64 a b)) 1/2)))
(.f64 (sin.f64 b) (/.f64 2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (cos.f64 (+.f64 b a))))))
(*.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a))))
(.f64 (/.f64 2 (.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b))))) (/.f64 r (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 2 (cos.f64 (+.f64 b a)))) (.f64 (*.f64 2 (/.f64 (sin.f64 b) r)) r))
(.f64 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (/.f64 1 (cos.f64 (+.f64 b a))))) (.f64 r (*.f64 2 (/.f64 (sin.f64 b) r))))
(*.f64 r (+.f64 (/.f64 (sin.f64 b) r) (/.f64 0 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 1 (/.f64 r (sin.f64 b))) r)
(*.f64 r (/.f64 (sin.f64 b) (/.f64 r 1)))
(*.f64 r (/.f64 (sin.f64 b) r))
(.f64 (.f64 2 (/.f64 (sin.f64 b) r)) (/.f64 (.f64 (cos.f64 (+.f64 a b)) (.f64 r 1/2)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 2 (cos.f64 (+.f64 b a)))) (.f64 (*.f64 2 (/.f64 (sin.f64 b) r)) r))
(.f64 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (/.f64 1 (cos.f64 (+.f64 b a))))) (.f64 r (*.f64 2 (/.f64 (sin.f64 b) r))))
(*.f64 r (+.f64 (/.f64 (sin.f64 b) r) (/.f64 0 (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (cos.f64 (+.f64 a b))))) (*.f64 2 (sin.f64 b)))
(*.f64 2 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 2 (cos.f64 (+.f64 b a)))))
(.f64 2 (.f64 1/2 (+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a))))))
(.f64 (/.f64 2 (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (.f64 (cos.f64 (+.f64 a b)) 4))) (.f64 (sin.f64 b) 4))
(.f64 (sin.f64 b) (.f64 4 (/.f64 (/.f64 2 (/.f64 2 (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) 4))))
(.f64 (sin.f64 b) (.f64 4 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) 4))))
(.f64 4 (.f64 1/2 (*.f64 1/2 (+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a)))))))
(*.f64 4 (/.f64 (+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a)))) 4))
(.f64 (/.f64 1 (.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2))
(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 2 (cos.f64 (+.f64 b a)))) (.f64 (*.f64 2 (/.f64 (sin.f64 b) r)) r))
(.f64 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (/.f64 1 (cos.f64 (+.f64 b a))))) (.f64 r (*.f64 2 (/.f64 (sin.f64 b) r))))
(*.f64 r (+.f64 (/.f64 (sin.f64 b) r) (/.f64 0 (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 2 (.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (cos.f64 (+.f64 a b))))) (sin.f64 b))
(.f64 (sin.f64 b) (/.f64 2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (cos.f64 (+.f64 b a))))))
(*.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (cos.f64 (+.f64 a b))))) 2)
(*.f64 2 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 2 (cos.f64 (+.f64 b a)))))
(.f64 2 (.f64 1/2 (+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a))))))
(.f64 (/.f64 1 (.f64 2 (/.f64 r (sin.f64 b)))) (+.f64 r r))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 r 1)))
(*.f64 r (/.f64 (sin.f64 b) r))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (*.f64 2 (/.f64 2 (cos.f64 (+.f64 a b)))))) 4)
(.f64 (sin.f64 b) (.f64 4 (/.f64 (/.f64 2 (/.f64 2 (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) 4))))
(.f64 (sin.f64 b) (.f64 4 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) 4))))
(.f64 4 (.f64 1/2 (*.f64 1/2 (+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a)))))))
(*.f64 4 (/.f64 (+.f64 (sin.f64 b) (/.f64 0 (cos.f64 (+.f64 b a)))) 4))
(pow.f64 (sin.f64 b) 1)
(sin.f64 b)
(neg.f64 (neg.f64 (sin.f64 b)))
(sin.f64 b)
(sin.f64 b)
(sin.f64 (-.f64 (PI.f64) b))
(sin.f64 b)
(+.f64 (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (.f64 (/.f64 r (sin.f64 b)) 1/2)) 0)
(/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(+.f64 0 (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (.f64 (/.f64 r (sin.f64 b)) 1/2)))
(/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(-.f64 (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (.f64 (/.f64 r (sin.f64 b)) 1/2)) 0)
(/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (*.f64 2 (/.f64 (sin.f64 b) r)))
(/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (/.f64 r (sin.f64 b)) 1/2) (.f64 (cos.f64 (+.f64 a b)) 1/2))
(/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (.f64 (/.f64 r (sin.f64 b)) 1/2)) 1)
(/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b)))) 2)
(/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 2 (/.f64 2 (cos.f64 (+.f64 a b)))) (.f64 2 (*.f64 2 (/.f64 (sin.f64 b) r))))
(/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 2 (.f64 (/.f64 r (sin.f64 b)) 1/2)) (.f64 2 (.f64 (cos.f64 (+.f64 a b)) 1/2)))
(/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 2 (.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b))))) 4)
(/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (/.f64 2 (cos.f64 (+.f64 a b)))) (-.f64 0 (*.f64 2 (/.f64 (sin.f64 b) r))))
(/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (.f64 (/.f64 r (sin.f64 b)) 1/2)) (-.f64 0 (.f64 (cos.f64 (+.f64 a b)) 1/2)))
(/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 r (sin.f64 b)) (/.f64 2 (cos.f64 (+.f64 a b)))))) 8)
(/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(pow.f64 (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (.f64 (/.f64 r (sin.f64 b)) 1/2)) 1)
(/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(+.f64 (/.f64 r (cos.f64 (+.f64 a b))) 0)
(/.f64 r (cos.f64 (+.f64 b a)))
(+.f64 0 (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (cos.f64 (+.f64 b a)))
(-.f64 (/.f64 r (cos.f64 (+.f64 a b))) 0)
(/.f64 r (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 1 (cos.f64 (+.f64 a b))))
(/.f64 r (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1)
(/.f64 r (cos.f64 (+.f64 b a)))
(*.f64 1 (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (cos.f64 (+.f64 b a)))
(.f64 (+.f64 r r) (/.f64 2 (.f64 (cos.f64 (+.f64 a b)) 4)))
(/.f64 r (cos.f64 (+.f64 b a)))
(.f64 (+.f64 r r) (.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 a b)) 4)) 1))
(/.f64 r (cos.f64 (+.f64 b a)))
(.f64 (+.f64 r r) (.f64 1/2 (/.f64 1 (cos.f64 (+.f64 a b)))))
(/.f64 r (cos.f64 (+.f64 b a)))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2) 1/2)
(/.f64 r (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) r)
(/.f64 r (cos.f64 (+.f64 b a)))
(.f64 1/2 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 2))
(/.f64 r (cos.f64 (+.f64 b a)))
(.f64 (/.f64 2 (.f64 (cos.f64 (+.f64 a b)) 4)) (+.f64 r r))
(/.f64 r (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1)
(/.f64 r (cos.f64 (+.f64 b a)))

eval6.7s (25.1%)

Compiler: Compiled 38248 to 16864 computations (55.9% saved)

prune1.3s (4.9%)

Pruning

67 alts after pruning (64 fresh and 3 done)

	Pruned	Kept	Total
New	1523	39	1562
Fresh	19	25	44
Picked	1	0	1
Done	2	3	5
Total	1545	67	1612

Error

10.4b

Counts

1612 → 67

Alt Table

Click to see full alt table

Status	Error	Program
	23.9b	(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 2 r)) (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	32.2b	(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
	32.3b	(/.f64 (/.f64 b 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
	12.8b	(/.f64 (/.f64 2 (/.f64 2 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) r))
	32.2b	(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
	32.8b	(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
	35.4b	(/.f64 (+.f64 (-.f64 (*.f64 r (sin.f64 b)) -1) -1) (cos.f64 (+.f64 a b)))
	22.2b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	33.3b	(/.f64 (*.f64 r (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b))))) (cos.f64 (+.f64 a b)))
▶	13.0b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
	31.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (+.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b))) (.f64 (pow.f64 b 2) (.f64 (cos.f64 a) -1/2))))
	23.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2)))))
▶	23.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))
	25.7b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (*.f64 1/6 (pow.f64 a 3))))))
	23.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 a))))
	25.7b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 -1 (-.f64 1 (neg.f64 (+.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (*.f64 1/6 (pow.f64 a 3)))))))))
	22.2b	(/.f64 (*.f64 r (sin.f64 b)) (+.f64 -1 (+.f64 1 (cos.f64 b))))
	40.5b	(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a (-.f64 b (PI.f64))))))
	29.5b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	32.3b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
	32.2b	(/.f64 (.f64 2 (.f64 b 4)) (*.f64 8 (/.f64 (cos.f64 a) r)))
	23.5b	(/.f64 (sin.f64 b) (/.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))) r))
	25.7b	(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 b) (+.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2))) (.f64 (pow.f64 a 3) (*.f64 1/6 (sin.f64 b))))) r))
	30.5b	(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) r))
✓	12.7b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
	22.2b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	29.5b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
	23.3b	(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 b) r) (*.f64 (/.f64 (sin.f64 b) r) (neg.f64 a))))
	30.5b	(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b))))
▶	12.7b	(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
	12.8b	(/.f64 (neg.f64 r) (/.f64 -1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
	12.7b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	32.2b	(/.f64 r (/.f64 (cos.f64 a) b))
	32.2b	(/.f64 b (/.f64 (cos.f64 a) r))
	32.8b	(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
	13.3b	(/.f64 1 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 b)))
	13.3b	(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	32.8b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
	32.8b	(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
	19.6b	(.f64 (/.f64 r (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 a b)))))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (*.f64 2 (sin.f64 b))))))
	19.5b	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
	25.8b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 r (.f64 (sin.f64 b) (cos.f64 b)))))
	38.5b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (+.f64 (/.f64 (/.f64 r (cos.f64 a)) b) (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2)))))
	38.5b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (+.f64 (/.f64 (/.f64 r (cos.f64 a)) b) (.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) 2))))))
	36.3b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (/.f64 2 (cos.f64 a)) (/.f64 r (*.f64 2 (sin.f64 b))))))
	25.7b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 b)) (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (*.f64 2 (sin.f64 b))))))
	19.5b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (/.f64 1 (/.f64 r (sin.f64 b))) r))
	19.2b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 r (/.f64 (sin.f64 b) r)))
	58.4b	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 (-.f64 (PI.f64) b)))
	25.7b	(.f64 (/.f64 r (cos.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (*.f64 2 (sin.f64 b))))))
	13.0b	(*.f64 (/.f64 2 (/.f64 4 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (+.f64 r r))
	33.4b	(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) (/.f64 r (cos.f64 (+.f64 b a))))
	12.7b	(.f64 (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))) (sin.f64 b))
	23.4b	(.f64 (sin.f64 b) (/.f64 r (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 a)))))
✓	12.7b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
	22.2b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
	29.5b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
	22.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
▶	29.5b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
	32.3b	(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
	32.2b	(*.f64 r (/.f64 b (cos.f64 a)))
	12.7b	(.f64 r (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
▶	41.8b	(*.f64 r b)
	42.2b	(.f64 b (/.f64 (/.f64 (neg.f64 (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))) (neg.f64 r)))
✓	32.2b	(*.f64 b (/.f64 r (cos.f64 a)))
	32.2b	(.f64 b (.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
	32.2b	(.f64 b (.f64 (/.f64 1 (cos.f64 a)) r))

Compiler

Compiled 2255 to 1500 computations (33.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 b)
✓	0.2b	(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
✓	0.2b	(*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))
	1.5b	(cos.f64 (+.f64 b a))

Compiler

Compiled 38 to 16 computations (57.9% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Expression
0.0ms	b	@	(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
0.0ms	a	@	(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
0.0ms	a	@	(*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))
0.0ms	b	@	(*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))
0.0ms	r	@	(*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1998×	`rational.json-1`
1998×	`rational.json-2`
1090×	`exponential.json-3`
1090×	`rational.json-4`
1090×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	103	44
2	274	44
3	841	44
4	3178	44
5	7143	44

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (/.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 2) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (+.f64 r r)) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (neg.f64 (sin.f64 b))) (/.f64 -1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (/.f64 r 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r 2) (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 1/2) (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1/2) (*.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (sin.f64 b) (+.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) (*.f64 r (neg.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))) (*.f64 r 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)) (*.f64 (sin.f64 b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))) (neg.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a)))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))))))

simplify172.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1436×	`rational.json-simplify-44`
1312×	`rational.json-simplify-35`
1310×	`rational.json-simplify-47`
1180×	`rational.json-simplify-51`
806×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	306	5393
1	806	5221
2	1936	5219
3	6256	5153

Stop Event

1×	node limit

Counts

163 → 192

Calls

Call 1

Inputs
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 a) r)
(+.f64 (/.f64 (cos.f64 a) r) (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 b) r)
(+.f64 (/.f64 (cos.f64 b) r) (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r)))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r))))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r)) (.f64 1/6 (/.f64 (.f64 (sin.f64 b) (pow.f64 a 3)) r)))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(+.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 0)
(+.f64 0 (/.f64 (cos.f64 (+.f64 b a)) r))
(-.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 0)
(-.f64 0 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 1 (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 1 r) (/.f64 1 (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)
(/.f64 2 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)) 2)
(/.f64 -1 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(/.f64 -1 (neg.f64 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (/.f64 1 r) 2) (/.f64 2 (cos.f64 (+.f64 b a))))
(/.f64 4 (.f64 (.f64 r 4) (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 4 (/.f64 (*.f64 r 4) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4) 4)
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) (+.f64 r r))
(/.f64 (neg.f64 (/.f64 1 r)) (/.f64 -1 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (/.f64 1 r)) (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) -1)
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 r))
(/.f64 -2 (neg.f64 (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a))))))
(/.f64 (.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)) 8)
(/.f64 (.f64 (cos.f64 (+.f64 b a)) 4) (.f64 r 4))
(/.f64 (.f64 2 (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 2 (neg.f64 r)))
(/.f64 (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r)) 1/2)
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2)) (neg.f64 (+.f64 r r)))
(/.f64 (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 4)) (neg.f64 (.f64 r 4)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))) (+.f64 r r))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2))) (-.f64 0 (neg.f64 (+.f64 r r))))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (cos.f64 (+.f64 b a))))) (-.f64 0 (.f64 2 (neg.f64 r))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)
(neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(+.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)
(+.f64 0 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(-.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 0)
(.f64 1 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)
(.f64 2 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))
(.f64 2 (/.f64 r (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))
(.f64 2 (/.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2))
(.f64 2 (.f64 (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(.f64 (+.f64 r r) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))
(.f64 (+.f64 r r) (/.f64 2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))))
(.f64 (.f64 (sin.f64 b) 2) (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))))
(.f64 (.f64 (sin.f64 b) 2) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1/2))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 -1 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(.f64 -1 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))))
(.f64 -1 (/.f64 (.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(.f64 (.f64 r 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r))) 1/2)
(.f64 (.f64 (sin.f64 b) 4) (/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)))
(.f64 (.f64 (sin.f64 b) (+.f64 r r)) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)))
(.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))))
(.f64 (.f64 r (neg.f64 (sin.f64 b))) (/.f64 -1 (cos.f64 (+.f64 b a))))
(.f64 (.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (/.f64 r 2))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 1/2))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r))
(*.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (+.f64 r r))))
(.f64 (/.f64 r 2) (.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) 2))
(.f64 (.f64 (sin.f64 b) 1/2) (*.f64 r (/.f64 2 (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1/2) (*.f64 (sin.f64 b) 2))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) -1)
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))) -1)
(.f64 (/.f64 (.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) -1)
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (sin.f64 b) (+.f64 r r)))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) 2)
(.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) (.f64 r (neg.f64 (sin.f64 b))))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) (+.f64 r r))
(.f64 (/.f64 r (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) 2)
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))) (*.f64 r 4))
(.f64 (/.f64 2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))) (+.f64 r r))
(.f64 (/.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)) (*.f64 (sin.f64 b) 4))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (sin.f64 b)))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))) (neg.f64 (sin.f64 b)))
(*.f64 (+.f64 (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a)))) (sin.f64 b))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)
(neg.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(neg.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))

Outputs
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 a) r)
(+.f64 (/.f64 (cos.f64 a) r) (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)))
(+.f64 (/.f64 (cos.f64 a) r) (.f64 -1 (.f64 b (/.f64 (sin.f64 a) r))))
(+.f64 (/.f64 (cos.f64 a) r) (neg.f64 (*.f64 (sin.f64 a) (/.f64 b r))))
(+.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b)))
(+.f64 (/.f64 (cos.f64 a) r) (*.f64 (sin.f64 a) (neg.f64 (/.f64 b r))))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (.f64 b (/.f64 (sin.f64 a) r))) (.f64 -1/2 (.f64 (pow.f64 b 2) (/.f64 (cos.f64 a) r)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 a) (/.f64 (pow.f64 b 2) r))) (+.f64 (/.f64 (cos.f64 a) r) (neg.f64 (*.f64 (sin.f64 a) (/.f64 b r)))))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 (/.f64 (sin.f64 a) r) (neg.f64 b)) (.f64 (cos.f64 a) (*.f64 (/.f64 (pow.f64 b 2) r) -1/2))))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 (sin.f64 a) (neg.f64 (/.f64 b r))) (.f64 (cos.f64 a) (*.f64 (/.f64 (pow.f64 b 2) r) -1/2))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(+.f64 (+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (.f64 b (/.f64 (sin.f64 a) r))) (.f64 -1/2 (.f64 (pow.f64 b 2) (/.f64 (cos.f64 a) r))))) (.f64 1/6 (.f64 (pow.f64 b 3) (/.f64 (sin.f64 a) r))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 a) (/.f64 (pow.f64 b 2) r))) (+.f64 (/.f64 (cos.f64 a) r) (neg.f64 (.f64 (sin.f64 a) (/.f64 b r))))) (.f64 1/6 (*.f64 (sin.f64 a) (/.f64 (pow.f64 b 3) r))))
(+.f64 (+.f64 (/.f64 (cos.f64 a) r) (.f64 (cos.f64 a) (.f64 (/.f64 (pow.f64 b 2) r) -1/2))) (+.f64 (.f64 (sin.f64 a) (.f64 (/.f64 (pow.f64 b 3) r) 1/6)) (*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b))))
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(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) -1)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) 2)) (*.f64 (sin.f64 b) (+.f64 r r)))
(.f64 (sin.f64 b) (.f64 (+.f64 r r) (/.f64 1 (*.f64 2 (cos.f64 (+.f64 a b))))))
(.f64 (sin.f64 b) (.f64 (+.f64 r r) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (.f64 (sin.f64 b) (+.f64 r r)))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (.f64 r (*.f64 2 (sin.f64 b))))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))) 2)
(.f64 2 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (/.f64 2 r))))
(.f64 (/.f64 -1 (cos.f64 (+.f64 b a))) (.f64 r (neg.f64 (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) (+.f64 r r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))) 2)
(.f64 2 (/.f64 r (.f64 (cos.f64 (+.f64 a b)) (/.f64 2 (sin.f64 b)))))
(*.f64 2 (/.f64 (/.f64 r (/.f64 2 (sin.f64 b))) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))) (*.f64 r 4))
(.f64 (.f64 r 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 a b)) (/.f64 4 (sin.f64 b)))))
(.f64 4 (.f64 r (/.f64 (/.f64 1 (/.f64 4 (sin.f64 b))) (cos.f64 (+.f64 a b)))))
(.f64 r (.f64 4 (/.f64 (/.f64 1 (/.f64 4 (sin.f64 b))) (cos.f64 (+.f64 a b)))))
(.f64 4 (/.f64 r (.f64 (cos.f64 (+.f64 a b)) (/.f64 4 (sin.f64 b)))))
(.f64 (/.f64 2 (.f64 (cos.f64 (+.f64 b a)) (/.f64 4 (sin.f64 b)))) (+.f64 r r))
(.f64 (+.f64 r r) (/.f64 2 (.f64 (cos.f64 (+.f64 a b)) (/.f64 4 (sin.f64 b)))))
(*.f64 (+.f64 r r) (/.f64 (/.f64 2 (/.f64 4 (sin.f64 b))) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2) 2)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 1 (.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 4)) (*.f64 (sin.f64 b) 4))
(.f64 (sin.f64 b) (.f64 4 (/.f64 1 (*.f64 4 (/.f64 (cos.f64 (+.f64 a b)) r)))))
(.f64 (sin.f64 b) (.f64 4 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) 4)))
(.f64 (sin.f64 b) (.f64 4 (/.f64 r (*.f64 4 (cos.f64 (+.f64 a b))))))
(*.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))) (neg.f64 (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (+.f64 (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 r 2) (cos.f64 (+.f64 b a)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

localize4.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize41.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 b)
✓	0.1b	(/.f64 (sin.f64 b) (cos.f64 a))
✓	0.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series12.0ms (0%)

Counts

2 → 44

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	(/.f64 (sin.f64 b) (cos.f64 a))
0.0ms	a	@	0	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
0.0ms	r	@	0	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
0.0ms	b	@	0	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
0.0ms	a	@	inf	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))

rewrite96.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1918×	`rational.json-1`
1918×	`rational.json-2`
1918×	`rational.json-4`
1918×	`rational.json-3`
712×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	72	36
2	189	36
3	466	36
4	1220	36
5	5033	36

Stop Event

1×	node limit

Counts

2 → 197

Calls

Call 1

Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (cos.f64 a))

Outputs

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

simplify151.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1758×	`rational.json-simplify-35`
1016×	`rational.json-simplify-51`
778×	`rational.json-simplify-44`
734×	`rational.json-simplify-61`
670×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	516	6935
1	1778	6587
2	5887	6553

Stop Event

1×	node limit

Counts

241 → 275

Calls

Call 1

Inputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))
(+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a)))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 r (pow.f64 b 7)) (cos.f64 a))) (+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
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(.f64 2 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 a))))
(.f64 (.f64 (sin.f64 b) (/.f64 2 (cos.f64 a))) 1/2)
(.f64 (.f64 (sin.f64 b) 4) (/.f64 (/.f64 1/2 (cos.f64 a)) 2))
(.f64 (.f64 (sin.f64 b) 4) (*.f64 (/.f64 (/.f64 1/2 (cos.f64 a)) 2) 1))
(.f64 (.f64 (sin.f64 b) 4) (*.f64 1/4 (/.f64 1 (cos.f64 a))))
(.f64 (.f64 (sin.f64 b) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 a))))
(*.f64 (/.f64 1 (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 (sin.f64 b))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (cos.f64 a)))
(.f64 (neg.f64 (sin.f64 b)) (.f64 (/.f64 -1 (cos.f64 a)) 1))
(.f64 (neg.f64 (sin.f64 b)) (.f64 -1 (/.f64 1 (cos.f64 a))))
(.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (/.f64 1 (.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b)))))
(.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (/.f64 2 (.f64 2 (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b))))))
(.f64 (.f64 (cos.f64 a) (/.f64 2 (sin.f64 b))) (/.f64 1 (.f64 2 (.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b))))))
(.f64 (.f64 (cos.f64 a) (/.f64 2 (sin.f64 b))) (/.f64 1/2 (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b)))))
(.f64 4 (/.f64 (sin.f64 b) (.f64 (cos.f64 a) 4)))
(*.f64 4 (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 4))
(.f64 (/.f64 (.f64 (sin.f64 b) 4) (cos.f64 a)) 1/4)
(.f64 (.f64 (sin.f64 b) 8) (/.f64 1 (*.f64 (cos.f64 a) 8)))
(.f64 (/.f64 1/2 (cos.f64 a)) (.f64 (sin.f64 b) 2))
(.f64 1/2 (.f64 (sin.f64 b) (/.f64 2 (cos.f64 a))))
(.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 a) (.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b)))))
(.f64 (/.f64 1 (sin.f64 b)) (/.f64 (.f64 (cos.f64 a) 2) (.f64 2 (.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b))))))
(.f64 (.f64 (sin.f64 b) -2) (/.f64 1/2 (neg.f64 (cos.f64 a))))
(.f64 (.f64 (sin.f64 b) -2) (/.f64 1 (*.f64 (cos.f64 a) -2)))
(.f64 (.f64 (sin.f64 b) -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 a) 2))))
(.f64 (.f64 2 (/.f64 1 (cos.f64 a))) (*.f64 (sin.f64 b) 1/2))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 a))) -1)
(.f64 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 a))) 2)
(.f64 (/.f64 2 (cos.f64 a)) (.f64 (sin.f64 b) 1/2))
(.f64 (/.f64 1/2 (sin.f64 b)) (/.f64 (.f64 (cos.f64 a) 2) (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b)))))
(.f64 (.f64 (cos.f64 a) (/.f64 1/2 (sin.f64 b))) (/.f64 2 (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b)))))
(.f64 (/.f64 2 (sin.f64 b)) (/.f64 (cos.f64 a) (.f64 2 (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b))))))
(.f64 1/4 (/.f64 (.f64 (sin.f64 b) 4) (cos.f64 a)))
(.f64 (/.f64 (/.f64 1/2 (cos.f64 a)) 2) (.f64 (sin.f64 b) 4))
(*.f64 (/.f64 -1 (cos.f64 a)) (neg.f64 (sin.f64 b)))
(.f64 (.f64 (sin.f64 b) 1/2) (/.f64 2 (cos.f64 a)))
(.f64 (/.f64 -1 (sin.f64 b)) (/.f64 (neg.f64 (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b)))))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1)
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 a))))

Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))
(+.f64 (.f64 r (/.f64 b (cos.f64 a))) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))
(+.f64 (.f64 r (/.f64 b (cos.f64 a))) (.f64 -1/6 (*.f64 r (/.f64 (pow.f64 b 3) (cos.f64 a)))))
(+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a)))))
(+.f64 (.f64 r (/.f64 b (cos.f64 a))) (+.f64 (.f64 -1/6 (/.f64 (.f64 r (pow.f64 b 3)) (cos.f64 a))) (.f64 1/120 (/.f64 (*.f64 r (pow.f64 b 5)) (cos.f64 a)))))
(+.f64 (.f64 r (/.f64 b (cos.f64 a))) (+.f64 (.f64 -1/6 (.f64 r (/.f64 (pow.f64 b 3) (cos.f64 a)))) (.f64 1/120 (*.f64 r (/.f64 (pow.f64 b 5) (cos.f64 a))))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 r (pow.f64 b 7)) (cos.f64 a))) (+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))))
(+.f64 (+.f64 (.f64 r (/.f64 b (cos.f64 a))) (+.f64 (.f64 -1/6 (/.f64 (.f64 r (pow.f64 b 3)) (cos.f64 a))) (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))))) (.f64 -1/5040 (*.f64 (pow.f64 b 7) (/.f64 r (cos.f64 a)))))
(+.f64 (+.f64 (.f64 r (/.f64 b (cos.f64 a))) (.f64 -1/6 (.f64 r (/.f64 (pow.f64 b 3) (cos.f64 a))))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 b 7) (/.f64 r (cos.f64 a)))) (.f64 1/120 (*.f64 r (/.f64 (pow.f64 b 5) (cos.f64 a))))))
(+.f64 (.f64 -1/6 (.f64 r (/.f64 (pow.f64 b 3) (cos.f64 a)))) (+.f64 (+.f64 (.f64 r (/.f64 b (cos.f64 a))) (.f64 1/120 (.f64 r (/.f64 (pow.f64 b 5) (cos.f64 a))))) (.f64 -1/5040 (*.f64 (pow.f64 b 7) (/.f64 r (cos.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) r)
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (.f64 (sin.f64 b) r))
(+.f64 (.f64 (sin.f64 b) r) (.f64 (sin.f64 b) (.f64 (.f64 r (pow.f64 a 2)) 1/2)))
(.f64 (sin.f64 b) (+.f64 r (.f64 1/2 (*.f64 r (pow.f64 a 2)))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (.f64 (sin.f64 b) r)))
(+.f64 (.f64 (sin.f64 b) (.f64 (.f64 r (pow.f64 a 2)) 1/2)) (+.f64 (.f64 (sin.f64 b) r) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 (sin.f64 b) (.f64 r 1/24)) (.f64 (sin.f64 b) (.f64 r -1/4)))))))
(+.f64 (.f64 (sin.f64 b) (+.f64 r (.f64 1/2 (.f64 r (pow.f64 a 2))))) (.f64 (pow.f64 a 4) (neg.f64 (.f64 (.f64 (sin.f64 b) r) -5/24))))
(+.f64 (.f64 (sin.f64 b) (+.f64 r (.f64 1/2 (.f64 r (pow.f64 a 2))))) (.f64 (.f64 (.f64 (sin.f64 b) r) -5/24) (neg.f64 (pow.f64 a 4))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))) (.f64 1/48 (.f64 (sin.f64 b) r)))) (pow.f64 a 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (*.f64 (sin.f64 b) r))))
(+.f64 (.f64 (sin.f64 b) (.f64 (.f64 r (pow.f64 a 2)) 1/2)) (+.f64 (+.f64 (.f64 (sin.f64 b) r) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 (sin.f64 b) (.f64 r 1/24)) (.f64 (sin.f64 b) (.f64 r -1/4)))))) (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 (sin.f64 b) (.f64 r 1/24)) (.f64 (sin.f64 b) (.f64 r -1/4)))) (+.f64 (.f64 (sin.f64 b) (.f64 r 1/48)) (.f64 (sin.f64 b) (.f64 r -1/720)))) (*.f64 (pow.f64 a 6) -1))))
(+.f64 (.f64 (pow.f64 a 4) (neg.f64 (.f64 (.f64 (sin.f64 b) r) -5/24))) (+.f64 (.f64 (sin.f64 b) (+.f64 r (.f64 1/2 (.f64 r (pow.f64 a 2))))) (.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 b) r) -5/24)) (.f64 (.f64 (sin.f64 b) r) 7/360)) (neg.f64 (pow.f64 a 6)))))
(+.f64 (.f64 (sin.f64 b) (+.f64 r (.f64 1/2 (.f64 r (pow.f64 a 2))))) (.f64 -1 (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 b) r) -5/24)) (.f64 (.f64 (sin.f64 b) r) 7/360)) (pow.f64 a 6)) (.f64 (pow.f64 a 4) (.f64 (*.f64 (sin.f64 b) r) -5/24)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (*.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a))) (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a)))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a))) (.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a)))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a))) (*.f64 -1/5040 (/.f64 (pow.f64 b 7) (cos.f64 a))))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 b 7) (cos.f64 a))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a))) (*.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a))))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a))) (.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a)))) (*.f64 -1/5040 (/.f64 (pow.f64 b 7) (cos.f64 a)))))
(sin.f64 b)
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2))) (sin.f64 b))
(+.f64 (sin.f64 b) (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) 1/2)))
(+.f64 (sin.f64 b) (.f64 (sin.f64 b) (.f64 1/2 (pow.f64 a 2))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2))) (+.f64 (sin.f64 b) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b)))))))
(+.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 (sin.f64 b) -1/4) (.f64 (sin.f64 b) 1/24)))) (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) 1/2))))
(+.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 b) (.f64 1/2 (pow.f64 a 2))) (.f64 (pow.f64 a 4) (neg.f64 (.f64 (sin.f64 b) -5/24)))))
(+.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 b) (.f64 1/2 (pow.f64 a 2))) (.f64 (.f64 (sin.f64 b) -5/24) (neg.f64 (pow.f64 a 4)))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2))) (+.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/48 (sin.f64 b)) (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b)))) (.f64 -1/720 (sin.f64 b)))))) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (sin.f64 b)) (*.f64 1/24 (sin.f64 b))))))))
(+.f64 (sin.f64 b) (+.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 (sin.f64 b) -1/4) (.f64 (sin.f64 b) 1/24)))) (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 (sin.f64 b) 1/48) (+.f64 (.f64 1/2 (+.f64 (.f64 (sin.f64 b) -1/4) (.f64 (sin.f64 b) 1/24))) (.f64 (sin.f64 b) -1/720)))))) (.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) 1/2))))
(+.f64 (.f64 -1 (+.f64 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (.f64 (sin.f64 b) -5/24)) (.f64 (sin.f64 b) 7/360))) (.f64 (pow.f64 a 4) (.f64 (sin.f64 b) -5/24)))) (+.f64 (sin.f64 b) (.f64 (sin.f64 b) (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 (+.f64 (sin.f64 b) (.f64 (sin.f64 b) (.f64 1/2 (pow.f64 a 2)))) (.f64 -1 (+.f64 (.f64 (pow.f64 a 4) (.f64 (sin.f64 b) -5/24)) (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (.f64 (sin.f64 b) -5/24)) (*.f64 (sin.f64 b) 7/360))))))
(+.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 0)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(+.f64 0 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(-.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 0)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (*.f64 (/.f64 (cos.f64 a) r) 1))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
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(*.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (/.f64 1 (cos.f64 a)))))
(.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (/.f64 2 (.f64 2 (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b))))))
(.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (/.f64 (/.f64 1 (cos.f64 a)) (/.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 b)))))
(*.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (/.f64 1 (cos.f64 a)))))
(.f64 (.f64 (cos.f64 a) (/.f64 2 (sin.f64 b))) (/.f64 1 (.f64 2 (.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b))))))
(.f64 (.f64 (cos.f64 a) (/.f64 2 (sin.f64 b))) (/.f64 1/2 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 b))))))
(.f64 (.f64 (cos.f64 a) (/.f64 2 (sin.f64 b))) (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (/.f64 1/2 (cos.f64 a)))))
(.f64 (.f64 (cos.f64 a) (/.f64 2 (sin.f64 b))) (/.f64 1/2 (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b)))))
(.f64 (.f64 (cos.f64 a) (/.f64 2 (sin.f64 b))) (/.f64 1/2 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 b))))))
(.f64 (.f64 (cos.f64 a) (/.f64 2 (sin.f64 b))) (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (/.f64 1/2 (cos.f64 a)))))
(.f64 4 (/.f64 (sin.f64 b) (.f64 (cos.f64 a) 4)))
(/.f64 (sin.f64 b) (cos.f64 a))
(*.f64 4 (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 4))
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (/.f64 (.f64 (sin.f64 b) 4) (cos.f64 a)) 1/4)
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (.f64 (sin.f64 b) 8) (/.f64 1 (*.f64 (cos.f64 a) 8)))
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (/.f64 1/2 (cos.f64 a)) (.f64 (sin.f64 b) 2))
(+.f64 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 a))) (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 a))))
(*.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (sin.f64 b) (sin.f64 b)))
(.f64 2 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 a))))
(.f64 1/2 (.f64 (sin.f64 b) (/.f64 2 (cos.f64 a))))
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 a) (.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b)))))
(.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 a) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 b))))))
(*.f64 (/.f64 1 (sin.f64 b)) (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (/.f64 (cos.f64 a) (cos.f64 a)))))
(.f64 (/.f64 1 (sin.f64 b)) (/.f64 (.f64 (cos.f64 a) 2) (.f64 2 (.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b))))))
(.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 a) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 b))))))
(*.f64 (/.f64 1 (sin.f64 b)) (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (/.f64 (cos.f64 a) (cos.f64 a)))))
(.f64 (.f64 (sin.f64 b) -2) (/.f64 1/2 (neg.f64 (cos.f64 a))))
(.f64 (sin.f64 b) (.f64 -2 (/.f64 1/2 (neg.f64 (cos.f64 a)))))
(.f64 (sin.f64 b) (.f64 -2 (/.f64 -1/2 (cos.f64 a))))
(.f64 (.f64 (sin.f64 b) -2) (/.f64 1 (*.f64 (cos.f64 a) -2)))
(.f64 (.f64 (sin.f64 b) -2) (/.f64 1/2 (neg.f64 (cos.f64 a))))
(.f64 (sin.f64 b) (.f64 -2 (/.f64 1/2 (neg.f64 (cos.f64 a)))))
(.f64 (sin.f64 b) (.f64 -2 (/.f64 -1/2 (cos.f64 a))))
(.f64 (.f64 (sin.f64 b) -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 a) 2))))
(.f64 (.f64 (sin.f64 b) -2) (/.f64 1/2 (neg.f64 (cos.f64 a))))
(.f64 (sin.f64 b) (.f64 -2 (/.f64 1/2 (neg.f64 (cos.f64 a)))))
(.f64 (sin.f64 b) (.f64 -2 (/.f64 -1/2 (cos.f64 a))))
(.f64 (.f64 2 (/.f64 1 (cos.f64 a))) (*.f64 (sin.f64 b) 1/2))
(.f64 (sin.f64 b) (.f64 1/2 (*.f64 2 (/.f64 1 (cos.f64 a)))))
(.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 a)) 1))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 a))) -1)
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 a))) 2)
(+.f64 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 a))) (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 a))))
(*.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (sin.f64 b) (sin.f64 b)))
(.f64 2 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 a))))
(.f64 (/.f64 2 (cos.f64 a)) (.f64 (sin.f64 b) 1/2))
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (/.f64 1/2 (sin.f64 b)) (/.f64 (.f64 (cos.f64 a) 2) (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b)))))
(.f64 (/.f64 1/2 (sin.f64 b)) (/.f64 (.f64 (cos.f64 a) 2) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 b))))))
(.f64 (.f64 (cos.f64 a) (/.f64 1/2 (sin.f64 b))) (/.f64 (/.f64 2 (cos.f64 a)) (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 b)))))
(.f64 (.f64 (cos.f64 a) (/.f64 1/2 (sin.f64 b))) (/.f64 2 (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b)))))
(.f64 (/.f64 1/2 (sin.f64 b)) (/.f64 (.f64 (cos.f64 a) 2) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 b))))))
(.f64 (.f64 (cos.f64 a) (/.f64 1/2 (sin.f64 b))) (/.f64 (/.f64 2 (cos.f64 a)) (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 b)))))
(.f64 (/.f64 2 (sin.f64 b)) (/.f64 (cos.f64 a) (.f64 2 (*.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b))))))
(.f64 (cos.f64 a) (/.f64 (/.f64 1 (sin.f64 b)) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 b))))))
(*.f64 (cos.f64 a) (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (/.f64 (/.f64 1 (cos.f64 a)) (sin.f64 b)))))
(.f64 1/4 (/.f64 (.f64 (sin.f64 b) 4) (cos.f64 a)))
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (/.f64 (/.f64 1/2 (cos.f64 a)) 2) (.f64 (sin.f64 b) 4))
(.f64 (sin.f64 b) (.f64 4 (/.f64 1/4 (cos.f64 a))))
(*.f64 (/.f64 -1 (cos.f64 a)) (neg.f64 (sin.f64 b)))
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (.f64 (sin.f64 b) 1/2) (/.f64 2 (cos.f64 a)))
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (/.f64 -1 (sin.f64 b)) (/.f64 (neg.f64 (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 b)))))
(.f64 (/.f64 -1 (sin.f64 b)) (/.f64 (neg.f64 (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 b))))))
(*.f64 (/.f64 -1 (sin.f64 b)) (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (/.f64 (cos.f64 a) (neg.f64 (cos.f64 a))))))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1)
(/.f64 (sin.f64 b) (cos.f64 a))
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 a))))
(/.f64 (sin.f64 b) (cos.f64 a))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 r (sin.f64 b))
✓	0.3b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
✓	0.7b	(-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b))))
	1.5b	(cos.f64 (+.f64 a b))

Compiler

Compiled 47 to 19 computations (59.6% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
0.0ms	a	@	0	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
0.0ms	a	@	0	(-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b))))
0.0ms	b	@	0	(-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b))))
0.0ms	a	@	-inf	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))

rewrite112.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`rational.json-1`
1420×	`rational.json-2`
1420×	`rational.json-4`
1420×	`rational.json-3`
1412×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	104	38
2	268	38
3	694	38
4	2113	38
5	5144	38

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

Inputs
(-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 2 (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 2 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 2) (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))) (*.f64 2 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 (sin.f64 b) (*.f64 r -2)) (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 2 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 b) (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 r (sin.f64 b)) (/.f64 1/2 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 r (sin.f64 b))) (/.f64 1/2 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 r (sin.f64 b))) (*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (neg.f64 (sin.f64 b))) (/.f64 -1 (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 r r) (*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 2 (sin.f64 b))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (*.f64 r 4)) (/.f64 1 (*.f64 (cos.f64 (+.f64 a b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sin.f64 b)) (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sin.f64 b)) (*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 r 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sin.f64 b)) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 r (cos.f64 (+.f64 a b)))) (*.f64 (sin.f64 b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (*.f64 r 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 2 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b)))) (*.f64 2 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b)))) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (*.f64 2 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 (+.f64 a b))) (*.f64 r (neg.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 1/2) (*.f64 2 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) 1/2) (*.f64 2 (/.f64 r (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (*.f64 r -2)) (/.f64 -1 (*.f64 2 (cos.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 1/2) (*.f64 2 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 r 1/2)) (*.f64 2 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 2 (cos.f64 (+.f64 a b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 a b)) 4)) (*.f64 (sin.f64 b) (*.f64 r 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 2 (cos.f64 (+.f64 a b)))) (*.f64 (sin.f64 b) (*.f64 r -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1/2) (*.f64 2 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 r (sin.f64 b)) (/.f64 1/2 (cos.f64 (+.f64 a b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))))))))

simplify111.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1122×	`rational.json-simplify-51`
1060×	`rational.json-simplify-49`
908×	`rational.json-simplify-43`
900×	`rational.json-simplify-46`
826×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	288	4910
1	670	4750
2	1698	4728
3	5671	4668

Stop Event

1×	node limit

Counts

156 → 187

Calls

Call 1

Inputs
(cos.f64 b)
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(+.f64 2 (+.f64 (cos.f64 (+.f64 a b)) -2))
(+.f64 (cos.f64 (+.f64 a b)) 0)
(+.f64 0 (cos.f64 (+.f64 a b)))
(+.f64 1 (-.f64 1 (-.f64 2 (cos.f64 (+.f64 a b)))))
(+.f64 -1 (+.f64 1 (cos.f64 (+.f64 a b))))
(+.f64 (+.f64 (cos.f64 (+.f64 a b)) -2) 2)
(+.f64 -2 (+.f64 2 (cos.f64 (+.f64 a b))))
(+.f64 (+.f64 1 (cos.f64 (+.f64 a b))) -1)
(+.f64 (+.f64 2 (cos.f64 (+.f64 a b))) -2)
(+.f64 (/.f64 (cos.f64 (+.f64 a b)) 2) (/.f64 (cos.f64 (+.f64 a b)) 2))
(*.f64 2 (/.f64 (cos.f64 (+.f64 a b)) 2))
(*.f64 (cos.f64 (+.f64 a b)) 1)
(*.f64 1 (cos.f64 (+.f64 a b)))
(.f64 (.f64 2 (cos.f64 (+.f64 a b))) 1/2)
(*.f64 (neg.f64 (cos.f64 (+.f64 a b))) -1)
(*.f64 -1 (neg.f64 (cos.f64 (+.f64 a b))))
(.f64 (.f64 (cos.f64 (+.f64 a b)) 4) 1/4)
(.f64 1/2 (.f64 2 (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (cos.f64 (+.f64 a b)) 2) 2)
(.f64 1/4 (.f64 (cos.f64 (+.f64 a b)) 4))
(/.f64 (cos.f64 (+.f64 a b)) 1)
(/.f64 (*.f64 2 (cos.f64 (+.f64 a b))) 2)
(/.f64 (neg.f64 (cos.f64 (+.f64 a b))) -1)
(/.f64 (*.f64 (cos.f64 (+.f64 a b)) 4) 4)
(/.f64 (*.f64 2 (neg.f64 (cos.f64 (+.f64 a b)))) -2)
(/.f64 (.f64 2 (.f64 (cos.f64 (+.f64 a b)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (cos.f64 (+.f64 a b)) 4))) 16)
(pow.f64 (cos.f64 (+.f64 a b)) 1)
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))
(cos.f64 (+.f64 a b))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (-.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 a b))))
(cos.f64 (-.f64 (PI.f64) (+.f64 (PI.f64) (+.f64 a b))))
(+.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 0)
(+.f64 0 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b)))))
(+.f64 (/.f64 (.f64 r (sin.f64 b)) (.f64 2 (cos.f64 (+.f64 a b)))) (/.f64 (.f64 r (sin.f64 b)) (.f64 2 (cos.f64 (+.f64 a b)))))
(+.f64 (/.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 2) (/.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 2))
(-.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 0)
(-.f64 0 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))))
(-.f64 (/.f64 (.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))) (.f64 2 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b)))))
(-.f64 (/.f64 (.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))) (/.f64 (.f64 (sin.f64 b) (*.f64 r -2)) (cos.f64 (+.f64 a b))))
(.f64 2 (/.f64 (.f64 r (sin.f64 b)) (*.f64 2 (cos.f64 (+.f64 a b)))))
(.f64 2 (/.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 2))
(.f64 2 (.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b))))))
(.f64 2 (.f64 (sin.f64 b) (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b))))))
(.f64 2 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)))
(.f64 2 (.f64 (*.f64 r (sin.f64 b)) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 1)
(.f64 1 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(.f64 (.f64 2 (*.f64 r (sin.f64 b))) (/.f64 1/2 (cos.f64 (+.f64 a b))))
(.f64 (.f64 2 (.f64 r (sin.f64 b))) (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 1/2))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(.f64 (.f64 r (neg.f64 (sin.f64 b))) (/.f64 -1 (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))))
(.f64 (+.f64 r r) (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 (+.f64 r r) (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 2 (sin.f64 b))) 1/2)
(.f64 (.f64 (sin.f64 b) (.f64 r 4)) (/.f64 1 (.f64 (cos.f64 (+.f64 a b)) 4)))
(.f64 (.f64 2 (sin.f64 b)) (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 2 (sin.f64 b)) (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 r 1/2)))
(.f64 (.f64 2 (sin.f64 b)) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1/2))
(.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 2 (/.f64 r (cos.f64 (+.f64 a b)))) (*.f64 (sin.f64 b) 1/2))
(.f64 (/.f64 (.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))) -1)
(.f64 (.f64 2 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (*.f64 r 1/2))
(.f64 1/2 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 2 (sin.f64 b))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b)))) (*.f64 2 (sin.f64 b)))
(.f64 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b)))) (+.f64 r r))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (.f64 2 (*.f64 r (sin.f64 b))))
(.f64 (/.f64 -1 (cos.f64 (+.f64 a b))) (.f64 r (neg.f64 (sin.f64 b))))
(.f64 (.f64 r 1/2) (*.f64 2 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sin.f64 b) 1/2) (*.f64 2 (/.f64 r (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sin.f64 b) (.f64 r -2)) (/.f64 -1 (.f64 2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 1/2) (.f64 2 (.f64 r (sin.f64 b))))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)) (+.f64 r r))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 r 1/2)) (.f64 2 (sin.f64 b)))
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 (sin.f64 b)))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 2 (cos.f64 (+.f64 a b)))) 2)
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 r))
(.f64 (/.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 2) 2)
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 a b)) 4)) (.f64 (sin.f64 b) (.f64 r 4)))
(.f64 (/.f64 -1 (.f64 2 (cos.f64 (+.f64 a b)))) (.f64 (sin.f64 b) (.f64 r -2)))
(.f64 (.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b))))) 2)
(.f64 (.f64 (sin.f64 b) (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b))))) 2)
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)) 2)
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1/2) (*.f64 2 (sin.f64 b)))
(.f64 (.f64 (*.f64 r (sin.f64 b)) (/.f64 1/2 (cos.f64 (+.f64 a b)))) 2)
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 1)
(neg.f64 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))))

Outputs
(cos.f64 b)
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (cos.f64 b) (.f64 -1 (.f64 (sin.f64 b) a)))
(+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (cos.f64 b) (.f64 -1/2 (.f64 (cos.f64 b) (pow.f64 a 2)))))
(+.f64 (cos.f64 b) (+.f64 (.f64 (cos.f64 b) (.f64 -1/2 (pow.f64 a 2))) (*.f64 (sin.f64 b) (neg.f64 a))))
(+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (.f64 (cos.f64 b) (*.f64 -1/2 (pow.f64 a 2)))))
(+.f64 (cos.f64 b) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (*.f64 -1/2 (pow.f64 a 2)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (+.f64 (cos.f64 b) (.f64 -1/2 (.f64 (cos.f64 b) (pow.f64 a 2)))) (.f64 (sin.f64 b) (.f64 (pow.f64 a 3) 1/6))))
(+.f64 (.f64 (cos.f64 b) (.f64 -1/2 (pow.f64 a 2))) (+.f64 (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (.f64 1/6 (pow.f64 a 3)))) (*.f64 (sin.f64 b) (neg.f64 a))))
(+.f64 (+.f64 (cos.f64 b) (.f64 (cos.f64 b) (.f64 -1/2 (pow.f64 a 2)))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (.f64 1/6 (pow.f64 a 3)))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (.f64 -1 (.f64 b (sin.f64 a))))
(+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))
(+.f64 (cos.f64 a) (*.f64 b (neg.f64 (sin.f64 a))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 b (sin.f64 a))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (.f64 (pow.f64 b 2) (.f64 (cos.f64 a) -1/2)) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))
(+.f64 (cos.f64 a) (+.f64 (.f64 b (neg.f64 (sin.f64 a))) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 b (neg.f64 (sin.f64 a))) (.f64 (cos.f64 a) (*.f64 -1/2 (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 b (sin.f64 a))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))) (.f64 (sin.f64 a) (.f64 (pow.f64 b 3) 1/6)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 (pow.f64 b 2) (.f64 (cos.f64 a) -1/2)) (+.f64 (.f64 (pow.f64 b 3) (.f64 (sin.f64 a) 1/6)) (*.f64 (sin.f64 a) (neg.f64 b)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))) (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3))))))
(+.f64 (cos.f64 a) (+.f64 (.f64 (cos.f64 a) (.f64 -1/2 (pow.f64 b 2))) (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3))))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (neg.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (.f64 (*.f64 (pow.f64 b 2) r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (.f64 (sin.f64 a) (/.f64 (*.f64 (pow.f64 b 2) r) (pow.f64 (cos.f64 a) 2))))
(.f64 r (+.f64 (/.f64 b (cos.f64 a)) (.f64 (pow.f64 b 2) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (.f64 (.f64 (pow.f64 b 2) r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 b (/.f64 r (cos.f64 a))) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))))
(+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (neg.f64 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (+.f64 (.f64 b (/.f64 r (cos.f64 a))) (.f64 (sin.f64 a) (/.f64 (*.f64 (pow.f64 b 2) r) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (+.f64 (.f64 (sin.f64 a) (/.f64 (.f64 (pow.f64 b 2) r) (pow.f64 (cos.f64 a) 2))) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (neg.f64 r)))))))
(+.f64 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (.f64 (pow.f64 b 2) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (/.f64 r (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(+.f64 (.f64 (.f64 (pow.f64 b 2) r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 b (/.f64 r (cos.f64 a))) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (+.f64 (.f64 1/6 (.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (.f64 -1/2 (.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))) (.f64 (pow.f64 b 4) -1)))))
(+.f64 (.f64 (sin.f64 a) (/.f64 (.f64 (pow.f64 b 2) r) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (neg.f64 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (+.f64 (.f64 b (/.f64 r (cos.f64 a))) (.f64 (+.f64 (neg.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (neg.f64 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (.f64 (.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) 2))) -1/3)) (neg.f64 (pow.f64 b 4))))))
(+.f64 (.f64 b (/.f64 r (cos.f64 a))) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (neg.f64 r))))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (neg.f64 r)))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a)))) (.f64 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)) -1/3)) (neg.f64 (pow.f64 b 4))) (.f64 (sin.f64 a) (/.f64 (.f64 (pow.f64 b 2) r) (pow.f64 (cos.f64 a) 2))))))
(+.f64 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (.f64 (pow.f64 b 2) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (/.f64 r (pow.f64 (cos.f64 a) 3))))))) (.f64 (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (/.f64 r (pow.f64 (cos.f64 a) 3)))))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a)))) (.f64 (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) 2))) -1/3)) (neg.f64 (pow.f64 b 4)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 b -1))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (-.f64 a (neg.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b (neg.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 b -1))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (-.f64 a (neg.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b (neg.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 b -1))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (-.f64 a (neg.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b (neg.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 b -1))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (-.f64 a (neg.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b (neg.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
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(.f64 (.f64 r (neg.f64 (sin.f64 b))) (/.f64 -1 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 -1 (/.f64 (.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (+.f64 r r) (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 2))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 r 2)))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 2 r)))
(.f64 (sin.f64 b) (.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (+.f64 r r)))
(.f64 (+.f64 r r) (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r))
(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (cos.f64 (+.f64 b a))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 2 (sin.f64 b))) 1/2)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (.f64 (sin.f64 b) (.f64 r 4)) (/.f64 1 (.f64 (cos.f64 (+.f64 a b)) 4)))
(.f64 (sin.f64 b) (.f64 (*.f64 r 4) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 4)))
(.f64 (sin.f64 b) (.f64 (*.f64 r 4) (/.f64 1/4 (cos.f64 (+.f64 b a)))))
(.f64 (sin.f64 b) (.f64 r (*.f64 4 (/.f64 1/4 (cos.f64 (+.f64 b a))))))
(.f64 (.f64 2 (sin.f64 b)) (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 2))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 r 2)))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 2 r)))
(.f64 (sin.f64 b) (.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (+.f64 r r)))
(.f64 (.f64 2 (sin.f64 b)) (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 r 1/2)))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r))
(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (cos.f64 (+.f64 b a))))
(.f64 (.f64 2 (sin.f64 b)) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1/2))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 r (sin.f64 b)))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r))
(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (.f64 2 (/.f64 r (cos.f64 (+.f64 a b)))) (*.f64 (sin.f64 b) 1/2))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))) -1)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (.f64 2 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (*.f64 r 1/2))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 1/2 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 2 (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b)))) (*.f64 2 (sin.f64 b)))
(.f64 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 2))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 r 2)))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 2 r)))
(.f64 (sin.f64 b) (.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (+.f64 r r)))
(.f64 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b)))) (+.f64 r r))
(.f64 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 2))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 r 2)))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 2 r)))
(.f64 (sin.f64 b) (.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (+.f64 r r)))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 a b))) (.f64 2 (*.f64 r (sin.f64 b))))
(.f64 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 2))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 r 2)))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 2 r)))
(.f64 (sin.f64 b) (.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (+.f64 r r)))
(.f64 (/.f64 -1 (cos.f64 (+.f64 a b))) (.f64 r (neg.f64 (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (.f64 r 1/2) (*.f64 2 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (.f64 (sin.f64 b) 1/2) (*.f64 2 (/.f64 r (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (.f64 (sin.f64 b) (.f64 r -2)) (/.f64 -1 (.f64 2 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sin.f64 b) (*.f64 r -2)) (/.f64 -1/2 (cos.f64 (+.f64 b a))))
(.f64 r (.f64 (*.f64 (sin.f64 b) -2) (/.f64 -1/2 (cos.f64 (+.f64 b a)))))
(.f64 -2 (.f64 (*.f64 (sin.f64 b) r) (/.f64 -1/2 (cos.f64 (+.f64 b a)))))
(.f64 -2 (.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) -2))))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 1/2) (.f64 2 (.f64 r (sin.f64 b))))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r))
(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (cos.f64 (+.f64 b a))))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)) (+.f64 r r))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r))
(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (cos.f64 (+.f64 b a))))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 r 1/2)) (.f64 2 (sin.f64 b)))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r))
(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 2 (cos.f64 (+.f64 a b)))) 2)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 2) 2)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 a b)) 4)) (.f64 (sin.f64 b) (.f64 r 4)))
(.f64 (sin.f64 b) (.f64 (*.f64 r 4) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 4)))
(.f64 (sin.f64 b) (.f64 (*.f64 r 4) (/.f64 1/4 (cos.f64 (+.f64 b a)))))
(.f64 (sin.f64 b) (.f64 r (*.f64 4 (/.f64 1/4 (cos.f64 (+.f64 b a))))))
(.f64 (/.f64 -1 (.f64 2 (cos.f64 (+.f64 a b)))) (.f64 (sin.f64 b) (.f64 r -2)))
(.f64 (.f64 (sin.f64 b) (*.f64 r -2)) (/.f64 -1/2 (cos.f64 (+.f64 b a))))
(.f64 r (.f64 (*.f64 (sin.f64 b) -2) (/.f64 -1/2 (cos.f64 (+.f64 b a)))))
(.f64 -2 (.f64 (*.f64 (sin.f64 b) r) (/.f64 -1/2 (cos.f64 (+.f64 b a)))))
(.f64 -2 (.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) -2))))
(.f64 (.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 a b))))) 2)
(.f64 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 2))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 r 2)))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 2 r)))
(.f64 (sin.f64 b) (.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (+.f64 r r)))
(.f64 (.f64 (sin.f64 b) (*.f64 r (/.f64 1/2 (cos.f64 (+.f64 a b))))) 2)
(.f64 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 2))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 r 2)))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 2 r)))
(.f64 (sin.f64 b) (.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (+.f64 r r)))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) 1/2)) 2)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) 1/2) (*.f64 2 (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (.f64 (*.f64 r (sin.f64 b)) (/.f64 1/2 (cos.f64 (+.f64 a b)))) 2)
(.f64 (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) 2))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 r 2)))
(.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (*.f64 2 r)))
(.f64 (sin.f64 b) (.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (+.f64 r r)))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 1)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
✓	0.1b	(*.f64 (sin.f64 b) (neg.f64 a))
	0.1b	(*.f64 r (sin.f64 b))
✓	3.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))

Compiler

Compiled 86 to 47 computations (45.3% saved)

series15.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	b	@	inf	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))
2.0ms	r	@	0	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))
1.0ms	b	@	-inf	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))
1.0ms	b	@	0	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))
1.0ms	a	@	inf	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))

rewrite99.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`rational.json-1`
1266×	`rational.json-2`
1266×	`rational.json-4`
1266×	`rational.json-3`
1258×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	109
1	150	109
2	338	109
3	824	109
4	2251	109
5	5061	109

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

Inputs

(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))

(*.f64 (sin.f64 b) (neg.f64 a))

(*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) r)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 2 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))) (/.f64 -1 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (*.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))))))))

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

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

simplify337.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1772×	`rational.json-simplify-35`
1052×	`rational.json-simplify-41`
1012×	`rational.json-simplify-44`
956×	`rational.json-simplify-47`
784×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	387	11560
1	995	11454
2	2190	11410
3	3837	11316
4	7961	11316

Stop Event

1×	node limit

Counts

192 → 228

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 b r) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 a (.f64 (pow.f64 b 2) r)) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2)) (/.f64 (.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 (/.f64 (.f64 a (.f64 r (pow.f64 b 2))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2)) (/.f64 (.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 (/.f64 (.f64 a (.f64 r (pow.f64 b 2))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 a r) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (.f64 1/6 (/.f64 (.f64 a r) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2))))) (pow.f64 b 4))) (/.f64 (.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2)))) (pow.f64 a 3))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b))))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (.f64 (pow.f64 a 2) (cos.f64 b)))))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 4))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (sin.f64 b)) (cos.f64 b)))) (pow.f64 a 5))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 4))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (.f64 (pow.f64 a 2) (cos.f64 b)))))))
(.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b))))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (.f64 (pow.f64 a 2) (cos.f64 b)))))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 4))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b))))))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (.f64 (pow.f64 a 5) (cos.f64 b)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 4))) (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (.f64 (pow.f64 a 5) (pow.f64 (cos.f64 b) 2)))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b))))))))
(.f64 -1 (.f64 a b))
(+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (+.f64 (.f64 -1/120 (.f64 a (pow.f64 b 5))) (.f64 -1 (.f64 a b))))
(+.f64 (.f64 1/5040 (.f64 a (pow.f64 b 7))) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (+.f64 (.f64 -1/120 (.f64 a (pow.f64 b 5))) (.f64 -1 (.f64 a b)))))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(.f64 -1 (.f64 (sin.f64 b) a))
(+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 2)))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 4))) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 2))))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 4))) (+.f64 1 (+.f64 (.f64 -1/720 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 6))) (+.f64 (.f64 -1/2 (pow.f64 a 2)) (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (pow.f64 b 2)))))))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
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(-.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) 0)
(/.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) 1)
(/.f64 (*.f64 (cos.f64 b) (+.f64 2 (neg.f64 (pow.f64 a 2)))) 2)
(/.f64 (.f64 (+.f64 2 (neg.f64 (pow.f64 a 2))) (.f64 (cos.f64 b) 2)) 4)
(/.f64 (.f64 2 (.f64 (+.f64 2 (neg.f64 (pow.f64 a 2))) (*.f64 (cos.f64 b) 2))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 2 (neg.f64 (pow.f64 a 2))) (.f64 (cos.f64 b) 2)))) 16)
(pow.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) 1)

Outputs
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(/.f64 (.f64 b r) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
(.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))
(+.f64 (/.f64 (.f64 a (.f64 (pow.f64 b 2) r)) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2)) (/.f64 (.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(+.f64 (.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (.f64 (.f64 r (pow.f64 b 2)) (/.f64 a (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2))))
(+.f64 (.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (.f64 a (/.f64 (.f64 r (pow.f64 b 2)) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2))))
(+.f64 (.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (.f64 r (/.f64 (.f64 a (pow.f64 b 2)) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2))))
(.f64 r (+.f64 (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) (/.f64 (.f64 a (pow.f64 b 2)) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2))))
(+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 (/.f64 (.f64 a (.f64 r (pow.f64 b 2))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2)) (/.f64 (.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 r (pow.f64 a 2)) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 (.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (.f64 (.f64 r (pow.f64 b 2)) (/.f64 a (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)))))
(+.f64 (.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (neg.f64 (.f64 (pow.f64 a 2) (/.f64 r (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3)))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (.f64 a (/.f64 (.f64 r (pow.f64 b 2)) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2)))))
(+.f64 (.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (neg.f64 (.f64 (pow.f64 a 2) (/.f64 r (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3)))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (.f64 r (/.f64 (.f64 a (pow.f64 b 2)) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2)))))
(+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 r (neg.f64 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3)))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (.f64 r (+.f64 (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) (/.f64 (.f64 a (pow.f64 b 2)) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2)))))
(+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 (/.f64 (.f64 a (.f64 r (pow.f64 b 2))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 a r) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (.f64 1/6 (/.f64 (.f64 a r) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2))))) (pow.f64 b 4))) (/.f64 (.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 r (pow.f64 a 2)) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 r (pow.f64 a 2)) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))) (/.f64 a (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))) (+.f64 (.f64 (.f64 r (/.f64 a (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2))) 1/6) (.f64 -1/2 (.f64 r (/.f64 a (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2)))))) (.f64 (pow.f64 b 4) -1)) (+.f64 (.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (.f64 (.f64 r (pow.f64 b 2)) (/.f64 a (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2))))))
(+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (neg.f64 (.f64 (pow.f64 a 2) (/.f64 r (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3)))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 (.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 (+.f64 (neg.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (neg.f64 (.f64 (pow.f64 a 2) (/.f64 r (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3)))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))) (/.f64 a (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))) (.f64 (.f64 r (/.f64 a (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2))) -1/3)) (neg.f64 (pow.f64 b 4))) (.f64 a (/.f64 (.f64 r (pow.f64 b 2)) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2))))))
(+.f64 (.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (neg.f64 (.f64 (pow.f64 a 2) (/.f64 r (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3)))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (.f64 r (/.f64 (.f64 a (pow.f64 b 2)) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2)))) (.f64 (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (neg.f64 (.f64 (pow.f64 a 2) (/.f64 r (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3)))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))) (neg.f64 (/.f64 a (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))) (.f64 (.f64 r (/.f64 a (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2))) -1/3)) (neg.f64 (pow.f64 b 4)))))
(+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 r (neg.f64 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3)))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 (.f64 r (+.f64 (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) (/.f64 (.f64 a (pow.f64 b 2)) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2)))) (.f64 (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 r (neg.f64 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3)))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))) (neg.f64 (/.f64 a (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))) (.f64 (.f64 r (/.f64 a (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) 2))) -1/3)) (neg.f64 (pow.f64 b 4)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
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(.f64 (sin.f64 b) (.f64 -2 (.f64 (/.f64 1/2 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))) (neg.f64 r))))
(.f64 (/.f64 1/2 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))) (neg.f64 (.f64 (sin.f64 b) (.f64 r -2))))
(.f64 (/.f64 -1/2 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))) (.f64 (sin.f64 b) (.f64 r -2)))
(.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))) (.f64 (*.f64 r 1/2) (sin.f64 b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))) (.f64 (*.f64 (sin.f64 b) 1/2) r))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))) (.f64 (sin.f64 b) (*.f64 r 1/2)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))) (.f64 r (*.f64 (sin.f64 b) 1/2)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))) (.f64 1/2 (*.f64 r (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(.f64 (.f64 (sin.f64 b) -2) (.f64 -1 (.f64 r (/.f64 1/2 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))))
(.f64 -2 (.f64 (sin.f64 b) (.f64 (/.f64 1/2 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))) (neg.f64 r))))
(.f64 (sin.f64 b) (.f64 -2 (.f64 (/.f64 1/2 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))) (neg.f64 r))))
(.f64 (/.f64 1/2 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))) (neg.f64 (.f64 (sin.f64 b) (.f64 r -2))))
(.f64 (/.f64 -1/2 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))) (.f64 (sin.f64 b) (.f64 r -2)))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))) 1/2) (.f64 r (*.f64 (sin.f64 b) 2)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (neg.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))) -1)
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (.f64 2 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))) 2)
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) r)) 2) 2)
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(.f64 (/.f64 1 (.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) 4)) (.f64 (sin.f64 b) (*.f64 r 4)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(.f64 (/.f64 -1 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))) (*.f64 r (neg.f64 (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(.f64 (.f64 2 (/.f64 r (neg.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (.f64 -1 (*.f64 (sin.f64 b) 1/2)))
(.f64 (.f64 2 (/.f64 r (neg.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))) (.f64 (sin.f64 b) -1/2))
(.f64 (sin.f64 b) (.f64 -1/2 (.f64 2 (/.f64 r (neg.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))))))
(.f64 (/.f64 r (neg.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))) (.f64 2 (.f64 (sin.f64 b) -1/2)))
(.f64 (/.f64 (neg.f64 r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))) (.f64 2 (.f64 (sin.f64 b) -1/2)))
(.f64 (+.f64 (/.f64 -1 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))) (/.f64 -1 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))) (.f64 (neg.f64 r) (*.f64 (sin.f64 b) 1/2)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(pow.f64 (/.f64 (sin.f64 b) (/.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) r)) 1)
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(neg.f64 (/.f64 (.f64 r (sin.f64 b)) (neg.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)))))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) 0)
(*.f64 (sin.f64 b) (neg.f64 a))
(+.f64 0 (*.f64 (sin.f64 b) (neg.f64 a)))
(*.f64 (sin.f64 b) (neg.f64 a))
(+.f64 -1 (-.f64 1 (*.f64 (sin.f64 b) a)))
(*.f64 (sin.f64 b) (neg.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 b) (neg.f64 a)) 2) (/.f64 (.f64 (sin.f64 b) (neg.f64 a)) 2))
(*.f64 (sin.f64 b) (neg.f64 a))
(-.f64 (*.f64 (sin.f64 b) (neg.f64 a)) 0)
(*.f64 (sin.f64 b) (neg.f64 a))
(-.f64 0 (*.f64 (sin.f64 b) a))
(*.f64 (sin.f64 b) (neg.f64 a))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 a)) 1)
(*.f64 (sin.f64 b) (neg.f64 a))
(/.f64 (.f64 (sin.f64 b) (.f64 a -2)) 2)
(*.f64 (sin.f64 b) (neg.f64 a))
(/.f64 (.f64 (sin.f64 b) (.f64 a -4)) 4)
(*.f64 (sin.f64 b) (neg.f64 a))
(/.f64 (*.f64 (sin.f64 b) a) -1)
(*.f64 (sin.f64 b) (neg.f64 a))
(/.f64 (.f64 2 (.f64 (sin.f64 b) (*.f64 a -4))) 8)
(*.f64 (sin.f64 b) (neg.f64 a))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 b) (.f64 a -4)))) 16)
(*.f64 (sin.f64 b) (neg.f64 a))
(pow.f64 (*.f64 (sin.f64 b) (neg.f64 a)) 1)
(*.f64 (sin.f64 b) (neg.f64 a))
(neg.f64 (*.f64 (sin.f64 b) a))
(*.f64 (sin.f64 b) (neg.f64 a))
(+.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) 0)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(+.f64 0 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(+.f64 (/.f64 (.f64 (cos.f64 b) (+.f64 2 (neg.f64 (pow.f64 a 2)))) 4) (/.f64 (.f64 (cos.f64 b) (+.f64 2 (neg.f64 (pow.f64 a 2)))) 4))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(-.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) 0)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(/.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) 1)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 b) (+.f64 2 (neg.f64 (pow.f64 a 2)))) 2)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(/.f64 (.f64 (+.f64 2 (neg.f64 (pow.f64 a 2))) (.f64 (cos.f64 b) 2)) 4)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(/.f64 (.f64 2 (.f64 (+.f64 2 (neg.f64 (pow.f64 a 2))) (*.f64 (cos.f64 b) 2))) 8)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 2 (neg.f64 (pow.f64 a 2))) (.f64 (cos.f64 b) 2)))) 16)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))
(pow.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) 1)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b))

eval665.0ms (2.5%)

Compiler: Compiled 26155 to 13212 computations (49.5% saved)

prune591.0ms (2.2%)

Pruning

67 alts after pruning (61 fresh and 6 done)

	Pruned	Kept	Total
New	1122	22	1144
Fresh	20	39	59
Picked	0	1	1
Done	2	5	7
Total	1144	67	1211

Error

10.4b

Counts

1211 → 67

Alt Table

Click to see full alt table

Status	Error	Program
	23.9b	(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 2 r)) (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	29.6b	(/.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (cos.f64 a))
	32.2b	(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
	32.2b	(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
	22.2b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	29.5b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
	29.5b	(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (/.f64 1/2 (sin.f64 b)))
	33.3b	(/.f64 (*.f64 r (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b))))) (cos.f64 (+.f64 a b)))
	25.9b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (+.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (*.f64 1/6 (pow.f64 a 3))))))))
	13.0b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 a b))))))))
✓	13.0b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
▶	22.4b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 b))))
	29.6b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 a))))
	31.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (+.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b))) (.f64 (pow.f64 b 2) (.f64 (cos.f64 a) -1/2))))
✓	23.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))
	23.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
	25.7b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (*.f64 1/6 (pow.f64 a 3))))))
	22.2b	(/.f64 (*.f64 r (sin.f64 b)) (+.f64 -1 (+.f64 1 (cos.f64 b))))
	40.5b	(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 (+.f64 b a) (PI.f64)))))
	32.4b	(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
	32.3b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
	42.3b	(/.f64 (.f64 b r) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
	23.5b	(/.f64 (sin.f64 b) (/.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))) r))
	25.7b	(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 b) (+.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2))) (.f64 (pow.f64 a 3) (*.f64 1/6 (sin.f64 b))))) r))
	30.5b	(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) r))
	22.2b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	29.5b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
	23.3b	(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 b) r) (*.f64 (/.f64 (sin.f64 b) r) (neg.f64 a))))
	30.5b	(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b))))
	22.2b	(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 b)))
	29.5b	(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 a)))
	29.5b	(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
	32.2b	(/.f64 r (/.f64 (cos.f64 a) b))
	32.2b	(/.f64 b (/.f64 (cos.f64 a) r))
	32.3b	(/.f64 b (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
	13.3b	(/.f64 1 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 b)))
	13.3b	(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	30.1b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))
	32.8b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
	30.1b	(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 b)) (/.f64 r (cos.f64 a))))
	32.8b	(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
	23.5b	(-.f64 (/.f64 (sin.f64 b) (/.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) r)) 0)
	19.5b	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
	25.8b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 r (.f64 (sin.f64 b) (cos.f64 b)))))
	38.5b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (+.f64 (/.f64 (/.f64 r (cos.f64 a)) b) (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2)))))
	38.5b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (+.f64 (/.f64 (/.f64 r (cos.f64 a)) b) (.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) 2))))))
	36.3b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (/.f64 2 (cos.f64 a)) (/.f64 r (*.f64 2 (sin.f64 b))))))
	19.5b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (/.f64 1 (/.f64 r (sin.f64 b))) r))
	58.4b	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 (-.f64 (PI.f64) b)))
	25.7b	(.f64 (/.f64 r (cos.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (*.f64 2 (sin.f64 b))))))
	13.0b	(*.f64 (/.f64 2 (/.f64 4 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (+.f64 r r))
	33.4b	(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) (/.f64 r (cos.f64 (+.f64 b a))))
	23.4b	(.f64 (sin.f64 b) (/.f64 r (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 a)))))
✓	12.7b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
▶	22.2b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
▶	39.1b	(*.f64 (sin.f64 b) r)
	50.0b	(*.f64 r (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) (cos.f64 a)))
	22.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
✓	29.5b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
	42.2b	(.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))
	32.3b	(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
	32.2b	(*.f64 r (/.f64 b (cos.f64 a)))
▶	12.7b	(.f64 r (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
	29.5b	(.f64 r (.f64 (cos.f64 a) (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (/.f64 (/.f64 1 (cos.f64 a)) (sin.f64 b))))))
✓	41.8b	(*.f64 r b)
▶	42.2b	(.f64 b (/.f64 (/.f64 (neg.f64 (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))) (neg.f64 r)))
✓	32.2b	(*.f64 b (/.f64 r (cos.f64 a)))

Compiler

Compiled 2141 to 1442 computations (32.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (cos.f64 (+.f64 b a)))
✓	0.2b	(.f64 r (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
✓	0.2b	(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b))
	1.5b	(cos.f64 (+.f64 b a))

Compiler

Compiled 42 to 16 computations (61.9% saved)

series5.0ms (0%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/.f64 1 (cos.f64 (+.f64 b a)))
0.0ms	b	@	0	(/.f64 1 (cos.f64 (+.f64 b a)))
0.0ms	b	@	-inf	(/.f64 1 (cos.f64 (+.f64 b a)))
0.0ms	a	@	-inf	(/.f64 1 (cos.f64 (+.f64 b a)))
0.0ms	b	@	inf	(/.f64 1 (cos.f64 (+.f64 b a)))

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`rational.json-1`
1228×	`rational.json-2`
1228×	`rational.json-4`
1228×	`rational.json-3`
1220×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	77
1	101	65
2	236	65
3	519	65
4	1217	65
5	3968	65

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b))
(.f64 r (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
(/.f64 1 (cos.f64 (+.f64 b a)))

Outputs

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

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

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

simplify251.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1214×	`rational.json-simplify-35`
982×	`rational.json-simplify-1`
860×	`rational.json-simplify-39`
806×	`rational.json-simplify-41`
692×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	501	8728
1	1567	8434
2	4258	8396
3	6292	8364

Stop Event

1×	node limit

Counts

234 → 270

Calls

Call 1

Inputs
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 b 4) (+.f64 (.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))))))) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 1 (cos.f64 a))
(+.f64 (/.f64 1 (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) b) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 1 (cos.f64 a)) (+.f64 (/.f64 (.f64 (sin.f64 a) b) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 b 2) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))
(+.f64 (/.f64 1 (cos.f64 a)) (+.f64 (/.f64 (.f64 (sin.f64 a) b) (pow.f64 (cos.f64 a) 2)) (+.f64 (.f64 (pow.f64 b 2) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))) (.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 3))))))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 b))
(+.f64 (/.f64 1 (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 1 (cos.f64 b)) (+.f64 (/.f64 (.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 a 2) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)))))))
(+.f64 (/.f64 1 (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b))) (+.f64 (.f64 1/6 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (.f64 -1/2 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))) (pow.f64 a 3))) (+.f64 (/.f64 (.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 a 2) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))))))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(+.f64 0 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(+.f64 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (sin.f64 b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(/.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))))
(/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))))
(/.f64 -1 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) 2)
(/.f64 (/.f64 2 (cos.f64 (+.f64 b a))) (/.f64 2 (sin.f64 b)))
(/.f64 4 (*.f64 4 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) 2) (.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 -2 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))
(/.f64 8 (.f64 2 (.f64 4 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 8 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 8) (sin.f64 b)))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 4) 4)
(/.f64 (.f64 (sin.f64 b) 4) (.f64 (cos.f64 (+.f64 b a)) 4))
(/.f64 1/2 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 1/2) (sin.f64 b)))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 2 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 4)) 8)
(/.f64 (.f64 2 (sin.f64 (neg.f64 b))) (.f64 (cos.f64 (+.f64 b a)) -2))
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 (.f64 2 (.f64 (sin.f64 b) 4)) (*.f64 (cos.f64 (+.f64 b a)) 8))
(/.f64 (.f64 4 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 (+.f64 b a)))) 1/2)
(/.f64 (.f64 (sin.f64 b) 1/2) (.f64 (cos.f64 (+.f64 b a)) 1/2))
(/.f64 -1/2 (-.f64 0 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) 1/2) (sin.f64 b))))
(/.f64 (neg.f64 (.f64 (sin.f64 b) 2)) (.f64 (cos.f64 (+.f64 b a)) -2))
(/.f64 (neg.f64 (.f64 (sin.f64 b) 2)) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 2)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (sin.f64 (neg.f64 b)))) (.f64 2 (.f64 (cos.f64 (+.f64 b a)) -2)))
(/.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 b) 2))) (.f64 2 (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 2))))
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 b) 4)) (cos.f64 (+.f64 b a))) 8)
(/.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) -1)
(/.f64 (/.f64 (sin.f64 b) 1/2) (*.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (neg.f64 (.f64 2 (.f64 (sin.f64 b) 4))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 8)))
(/.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) 4)) 1/4)
(/.f64 (neg.f64 (.f64 (sin.f64 b) 4)) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 4)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (-.f64 0 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 (neg.f64 (.f64 2 (sin.f64 (neg.f64 b)))) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) -2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 b) 2))) (.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 b) 2))) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) -2)))
(/.f64 (neg.f64 (.f64 (sin.f64 b) 1/2)) (-.f64 0 (.f64 (cos.f64 (+.f64 b a)) 1/2)))
(/.f64 (neg.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) (-.f64 0 (/.f64 1 (sin.f64 b))))
(/.f64 (neg.f64 (/.f64 2 (cos.f64 (+.f64 b a)))) (-.f64 0 (/.f64 2 (sin.f64 b))))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 b) 2)))) (-.f64 0 (.f64 2 (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 2)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 b) 1/2)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 b) 4))) (.f64 (cos.f64 (+.f64 b a)) 4))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 b) 4))) (-.f64 0 (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 4))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 b) 2)))) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 2)))
(/.f64 (neg.f64 (.f64 2 (.f64 2 (sin.f64 (neg.f64 b))))) (-.f64 0 (.f64 2 (.f64 (cos.f64 (+.f64 b a)) -2))))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (sin.f64 (neg.f64 b))))) (.f64 (cos.f64 (+.f64 b a)) -2))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(+.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 0)
(+.f64 0 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))
(+.f64 (.f64 (sin.f64 b) (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))) (.f64 (sin.f64 b) (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))))
(-.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 0)
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)
(/.f64 2 (/.f64 2 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))
(/.f64 2 (/.f64 (.f64 (cos.f64 (+.f64 b a)) -2) (neg.f64 (.f64 (sin.f64 b) r))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (*.f64 (sin.f64 b) r))))
(/.f64 -1 (-.f64 0 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 (sin.f64 b) (/.f64 2 (cos.f64 (+.f64 b a)))) (/.f64 2 r))
(/.f64 (+.f64 r r) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))))
(/.f64 4 (/.f64 4 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))
(/.f64 (.f64 (sin.f64 b) (.f64 r (/.f64 2 (cos.f64 (+.f64 b a))))) 2)
(/.f64 (.f64 (sin.f64 b) 2) (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 1 (sin.f64 b)))
(/.f64 (.f64 r 4) (.f64 4 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 -2 (-.f64 0 (/.f64 2 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))
(/.f64 8 (.f64 2 (/.f64 4 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))
(/.f64 8 (/.f64 (.f64 (cos.f64 (+.f64 b a)) 8) (.f64 (sin.f64 b) r)))
(/.f64 (.f64 (sin.f64 b) (+.f64 r r)) (.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 4) (/.f64 4 r))
(/.f64 (.f64 (sin.f64 b) (/.f64 (.f64 r 4) (cos.f64 (+.f64 b a)))) 4)
(/.f64 (*.f64 (sin.f64 b) 4) (/.f64 4 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (sin.f64 (neg.f64 b)) (-.f64 0 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (.f64 (.f64 (sin.f64 b) r) 4) (*.f64 (cos.f64 (+.f64 b a)) 4))
(/.f64 -4 (-.f64 0 (/.f64 4 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))
(/.f64 (.f64 2 (.f64 r 4)) (*.f64 8 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (.f64 2 (.f64 (sin.f64 b) (/.f64 (*.f64 r 4) (cos.f64 (+.f64 b a))))) 8)
(/.f64 (.f64 (sin.f64 b) (.f64 r (/.f64 1/2 (cos.f64 (+.f64 b a))))) 1/2)
(/.f64 (.f64 r 1/2) (/.f64 (.f64 (cos.f64 (+.f64 b a)) 1/2) (sin.f64 b)))
(/.f64 (.f64 (sin.f64 b) (.f64 r 1/2)) (*.f64 (cos.f64 (+.f64 b a)) 1/2))
(/.f64 (neg.f64 (.f64 (sin.f64 b) 2)) (-.f64 0 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r))))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 4 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) (.f64 (/.f64 2 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) (/.f64 2 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 b) (/.f64 (.f64 r 4) (cos.f64 (+.f64 b a)))))) 16)
(/.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 b) r))) (*.f64 (cos.f64 (+.f64 b a)) -2))
(/.f64 (/.f64 (*.f64 r 4) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 4)
(/.f64 (/.f64 r 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))))
(/.f64 (/.f64 (.f64 2 (.f64 r 4)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 8)
(/.f64 (/.f64 (.f64 (.f64 (sin.f64 b) r) 4) (cos.f64 (+.f64 b a))) 4)
(/.f64 (/.f64 (.f64 (sin.f64 b) r) 1/2) (.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 (+.f64 b a)) 4)) 1/4)
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))) -1)
(/.f64 (neg.f64 (*.f64 (sin.f64 b) 4)) (-.f64 0 (/.f64 4 (/.f64 r (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (+.f64 r r)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))
(/.f64 (neg.f64 (.f64 r 4)) (-.f64 0 (.f64 4 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 (neg.f64 (neg.f64 r)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (neg.f64 (.f64 (sin.f64 b) (+.f64 r r))) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (.f64 r 1/2)) (-.f64 0 (/.f64 (.f64 (cos.f64 (+.f64 b a)) 1/2) (sin.f64 b))))
(/.f64 (neg.f64 (.f64 (sin.f64 b) (.f64 r 1/2))) (-.f64 0 (*.f64 (cos.f64 (+.f64 b a)) 1/2)))
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (-.f64 0 (/.f64 1 (sin.f64 b))))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 b) r) 4)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 4)))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 b) r)))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) -2)))
(/.f64 (neg.f64 (/.f64 r 1/2)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 b) r) 1/2)) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 b) (+.f64 r r)))) (.f64 (cos.f64 (+.f64 b a)) 2))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r)))) (neg.f64 (cos.f64 (+.f64 b a))))
(pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)
(neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))))
(+.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 0)
(+.f64 0 (/.f64 1 (cos.f64 (+.f64 b a))))
(+.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (/.f64 1/2 (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 0)
(*.f64 1 (/.f64 1 (cos.f64 (+.f64 b a))))
(.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 1)
(*.f64 2 (/.f64 1/2 (cos.f64 (+.f64 b a))))
(.f64 (.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) 2))))
(.f64 (.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1/2 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 2 (cos.f64 (+.f64 b a))) 1/2)
(*.f64 4 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 4))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 4) 1/4)
(*.f64 1/2 (/.f64 2 (cos.f64 (+.f64 b a))))
(.f64 1/4 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 4))
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 2)
(.f64 (.f64 (cos.f64 (+.f64 b a)) 1/2) (/.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 2 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) 1/2))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) 2))) (.f64 (cos.f64 (+.f64 b a)) 2))
(.f64 (/.f64 1/2 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 4) 4)
(pow.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 1)
(neg.f64 (/.f64 -1 (cos.f64 (+.f64 b a))))

Outputs
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
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(/.f64 (neg.f64 (.f64 r 4)) (-.f64 0 (.f64 4 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (neg.f64 r)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (.f64 (sin.f64 b) (+.f64 r r))) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (.f64 r 1/2)) (-.f64 0 (/.f64 (.f64 (cos.f64 (+.f64 b a)) 1/2) (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (.f64 (sin.f64 b) (.f64 r 1/2))) (-.f64 0 (*.f64 (cos.f64 (+.f64 b a)) 1/2)))
(/.f64 (.f64 (sin.f64 b) (.f64 1/2 r)) (*.f64 1/2 (cos.f64 (+.f64 b a))))
(.f64 (sin.f64 b) (/.f64 (.f64 1/2 r) (*.f64 1/2 (cos.f64 (+.f64 b a)))))
(/.f64 (.f64 (sin.f64 b) (.f64 r 1)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (-.f64 0 (/.f64 1 (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 b) r) 4)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) 4)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 b) r)))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) -2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (/.f64 r 1/2)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))
(/.f64 (neg.f64 (+.f64 r r)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b)))))
(/.f64 (/.f64 r -1/2) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 2 (sin.f64 b)))))
(/.f64 (neg.f64 (.f64 r -2)) (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))))
(/.f64 (.f64 r -2) (.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 2 (sin.f64 b)))))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 b) r) 1/2)) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) 2)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 b) (+.f64 r r)))) (.f64 (cos.f64 (+.f64 b a)) 2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r)))) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(+.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 0)
(/.f64 1 (cos.f64 (+.f64 b a)))
(+.f64 0 (/.f64 1 (cos.f64 (+.f64 b a))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(+.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (/.f64 1/2 (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 0)
(/.f64 1 (cos.f64 (+.f64 b a)))
(*.f64 1 (/.f64 1 (cos.f64 (+.f64 b a))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 1)
(/.f64 1 (cos.f64 (+.f64 b a)))
(*.f64 2 (/.f64 1/2 (cos.f64 (+.f64 b a))))
(.f64 (.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) 2))))
(.f64 (.f64 2 (cos.f64 (+.f64 b a))) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 2 (cos.f64 (+.f64 b a)))))
(.f64 (.f64 2 (cos.f64 (+.f64 b a))) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (.f64 2 (cos.f64 (+.f64 b a))))))
(.f64 (/.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))) (.f64 2 (cos.f64 (+.f64 b a))))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))
(.f64 (.f64 (cos.f64 (+.f64 b a)) 2) (/.f64 1/2 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 2 (cos.f64 (+.f64 b a))) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 2 (cos.f64 (+.f64 b a)))))
(.f64 (.f64 2 (cos.f64 (+.f64 b a))) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (.f64 2 (cos.f64 (+.f64 b a))))))
(.f64 (/.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))) (.f64 2 (cos.f64 (+.f64 b a))))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 2 (cos.f64 (+.f64 b a))) 1/2)
(*.f64 1/2 (/.f64 2 (cos.f64 (+.f64 b a))))
(*.f64 4 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 4))
(/.f64 1 (cos.f64 (+.f64 b a)))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 4) 1/4)
(/.f64 1 (cos.f64 (+.f64 b a)))
(*.f64 1/2 (/.f64 2 (cos.f64 (+.f64 b a))))
(.f64 1/4 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 4))
(/.f64 1 (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) 2)
(*.f64 2 (/.f64 1/2 (cos.f64 (+.f64 b a))))
(.f64 (.f64 (cos.f64 (+.f64 b a)) 1/2) (/.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 1/2 (cos.f64 (+.f64 b a))) (/.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) 2)))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a)))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))
(.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 2 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) 1/2))
(.f64 (.f64 1/2 (cos.f64 (+.f64 b a))) (/.f64 2 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) (/.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) 2)))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) 2))) (.f64 (cos.f64 (+.f64 b a)) 2))
(.f64 (.f64 2 (cos.f64 (+.f64 b a))) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 2 (cos.f64 (+.f64 b a)))))
(.f64 (.f64 2 (cos.f64 (+.f64 b a))) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (.f64 2 (cos.f64 (+.f64 b a))))))
(.f64 (/.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))) (.f64 2 (cos.f64 (+.f64 b a))))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 1/2 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) 2))
(.f64 (.f64 2 (cos.f64 (+.f64 b a))) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 2 (cos.f64 (+.f64 b a)))))
(.f64 (.f64 2 (cos.f64 (+.f64 b a))) (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (.f64 2 (cos.f64 (+.f64 b a))))))
(.f64 (/.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))) (.f64 2 (cos.f64 (+.f64 b a))))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 4) 4)
(/.f64 1 (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 1)
(/.f64 1 (cos.f64 (+.f64 b a)))
(neg.f64 (/.f64 -1 (cos.f64 (+.f64 b a))))
(/.f64 1 (cos.f64 (+.f64 b a)))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 b)
✓	0.1b	(*.f64 (sin.f64 b) r)

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(*.f64 (sin.f64 b) r)
0.0ms	r	@	inf	(*.f64 (sin.f64 b) r)
0.0ms	r	@	-inf	(*.f64 (sin.f64 b) r)
0.0ms	b	@	inf	(*.f64 (sin.f64 b) r)
0.0ms	b	@	-inf	(*.f64 (sin.f64 b) r)

rewrite155.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1460×	`exponential.json-3`
1460×	`rational.json-1`
1460×	`rational.json-2`
1460×	`rational.json-4`
1460×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	49	11
2	121	11
3	251	11
4	489	11
5	1120	11
6	3201	11
7	6716	11

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

Inputs
(*.f64 (sin.f64 b) r)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 b) r) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 b) r))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 b) (*.f64 r 1/2)) (*.f64 (sin.f64 b) (*.f64 r 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 b) r) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) (+.f64 r r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) (*.f64 r 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) (*.f64 r 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 b) (*.f64 r 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 b) (*.f64 r 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 b) (*.f64 r 8)))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 b) (*.f64 r 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 b) r) 1)))))

simplify247.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2470×	`rational.json-simplify-2`
1620×	`rational.json-simplify-35`
1316×	`rational.json-simplify-53`
936×	`rational.json-simplify-1`
884×	`rational.json-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	304
1	142	304
2	273	286
3	546	274
4	1713	274
5	3176	274
6	3823	274
7	4025	274
8	4493	274
9	5360	274
10	5802	274
11	6683	274
12	7906	274

Stop Event

1×	node limit

Counts

16 → 30

Calls

Call 1

Inputs
(*.f64 r b)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 b 7) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r)))))
(+.f64 (*.f64 (sin.f64 b) r) 0)
(+.f64 0 (*.f64 (sin.f64 b) r))
(+.f64 (.f64 (sin.f64 b) (.f64 r 1/2)) (.f64 (sin.f64 b) (.f64 r 1/2)))
(-.f64 (*.f64 (sin.f64 b) r) 0)
(/.f64 (*.f64 (sin.f64 b) r) 1)
(/.f64 (*.f64 (sin.f64 b) (+.f64 r r)) 2)
(/.f64 (.f64 (sin.f64 b) (.f64 r 4)) 4)
(/.f64 (.f64 (sin.f64 b) (.f64 r 8)) 8)
(/.f64 (.f64 2 (.f64 (sin.f64 b) (*.f64 r 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 b) (.f64 r 8)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 b) (.f64 r 8)))) (.f64 2 (.f64 2 (.f64 (sin.f64 b) (.f64 r 8))))) 64)
(pow.f64 (*.f64 (sin.f64 b) r) 1)

Outputs
(*.f64 r b)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (.f64 r b) (.f64 -1/6 (*.f64 r (pow.f64 b 3))))
(+.f64 (.f64 r b) (.f64 r (*.f64 (pow.f64 b 3) -1/6)))
(.f64 r (+.f64 b (.f64 -1/6 (pow.f64 b 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r))))
(+.f64 (.f64 -1/6 (.f64 r (pow.f64 b 3))) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 r (pow.f64 b 5)))))
(+.f64 (.f64 r (.f64 (pow.f64 b 3) -1/6)) (+.f64 (.f64 r b) (.f64 r (*.f64 1/120 (pow.f64 b 5)))))
(+.f64 (.f64 r (.f64 -1/6 (pow.f64 b 3))) (.f64 r (+.f64 b (.f64 1/120 (pow.f64 b 5)))))
(.f64 r (+.f64 (.f64 1/120 (pow.f64 b 5)) (+.f64 b (*.f64 -1/6 (pow.f64 b 3)))))
(.f64 r (+.f64 b (+.f64 (.f64 1/120 (pow.f64 b 5)) (*.f64 -1/6 (pow.f64 b 3)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 b 7) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r)))))
(+.f64 (.f64 -1/6 (.f64 r (pow.f64 b 3))) (+.f64 (+.f64 (.f64 r b) (.f64 1/120 (.f64 r (pow.f64 b 5)))) (.f64 -1/5040 (*.f64 r (pow.f64 b 7)))))
(+.f64 (.f64 r (.f64 (pow.f64 b 3) -1/6)) (+.f64 (.f64 r b) (+.f64 (.f64 r (.f64 1/120 (pow.f64 b 5))) (.f64 r (*.f64 (pow.f64 b 7) -1/5040)))))
(+.f64 (.f64 r (.f64 -1/6 (pow.f64 b 3))) (+.f64 (.f64 r (+.f64 b (.f64 1/120 (pow.f64 b 5)))) (.f64 (pow.f64 b 7) (.f64 r -1/5040))))
(+.f64 (.f64 r (+.f64 b (.f64 -1/6 (pow.f64 b 3)))) (.f64 r (+.f64 (.f64 -1/5040 (pow.f64 b 7)) (*.f64 1/120 (pow.f64 b 5)))))
(+.f64 (.f64 -1/6 (.f64 r (pow.f64 b 3))) (.f64 r (+.f64 b (+.f64 (.f64 -1/5040 (pow.f64 b 7)) (*.f64 1/120 (pow.f64 b 5))))))
(+.f64 (*.f64 (sin.f64 b) r) 0)
(*.f64 r (sin.f64 b))
(+.f64 0 (*.f64 (sin.f64 b) r))
(*.f64 r (sin.f64 b))
(+.f64 (.f64 (sin.f64 b) (.f64 r 1/2)) (.f64 (sin.f64 b) (.f64 r 1/2)))
(*.f64 r (sin.f64 b))
(-.f64 (*.f64 (sin.f64 b) r) 0)
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) 1)
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) (+.f64 r r)) 2)
(*.f64 r (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) (.f64 r 4)) 4)
(*.f64 r (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) (.f64 r 8)) 8)
(*.f64 r (sin.f64 b))
(/.f64 (.f64 2 (.f64 (sin.f64 b) (*.f64 r 8))) 16)
(*.f64 r (sin.f64 b))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 b) (.f64 r 8)))) 32)
(*.f64 r (sin.f64 b))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 b) (.f64 r 8)))) (.f64 2 (.f64 2 (.f64 (sin.f64 b) (.f64 r 8))))) 64)
(*.f64 r (sin.f64 b))
(pow.f64 (*.f64 (sin.f64 b) r) 1)
(*.f64 r (sin.f64 b))

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 b)
	0.0b	(sin.f64 b)
✓	0.1b	(/.f64 r (cos.f64 b))
✓	0.2b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))

Compiler

Compiled 20 to 7 computations (65% saved)

series5.0ms (0%)

Counts

3 → 32

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
0.0ms	r	@	inf	(/.f64 r (cos.f64 b))
0.0ms	r	@	inf	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
0.0ms	b	@	-inf	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
0.0ms	b	@	inf	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))

rewrite156.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1890×	`rational.json-1`
1890×	`rational.json-2`
1890×	`rational.json-4`
1890×	`rational.json-3`
750×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	66	37
2	179	37
3	440	37
4	1147	37
5	4997	37

Stop Event

1×	node limit

Counts

3 → 226

Calls

Call 1

Inputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 r (cos.f64 b))
(cos.f64 b)

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (cos.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 b) 1/2) (*.f64 (cos.f64 b) (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) (/.f64 -1 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 b) 2)) (-.f64 0 (*.f64 (cos.f64 b) (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (-.f64 0 (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) 1)))))

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

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

simplify108.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1744×	`rational.json-simplify-35`
1386×	`rational.json-simplify-44`
1214×	`rational.json-simplify-61`
1212×	`rational.json-simplify-49`
1198×	`rational.json-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	525	6082
1	1746	5718

Stop Event

1×	node limit

Counts

258 → 285

Calls

Call 1

Inputs
(*.f64 r b)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
r
(+.f64 (.f64 1/2 (.f64 (pow.f64 b 2) r)) r)
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 r) (.f64 1/24 r)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (.f64 (pow.f64 b 2) r)) r))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 r) (.f64 1/24 r)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (.f64 (pow.f64 b 2) r)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 r) (+.f64 (.f64 1/48 r) (.f64 1/2 (+.f64 (.f64 -1/4 r) (*.f64 1/24 r))))) (pow.f64 b 6))) r)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 b 2)))
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 1 (.f64 -1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (*.f64 -1/720 (pow.f64 b 6)))))
(+.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) 0)
(+.f64 0 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(-.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) 0)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 r (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) 1))
(/.f64 r (*.f64 -1 (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b)))))
(/.f64 (/.f64 r (cos.f64 b)) (/.f64 1 (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 b)) (*.f64 (/.f64 1 (sin.f64 b)) 1))
(/.f64 (/.f64 r (cos.f64 b)) (*.f64 1/2 (/.f64 2 (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) 1)
(/.f64 1 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))
(/.f64 1 (.f64 (/.f64 (cos.f64 b) (.f64 (sin.f64 b) r)) 1))
(/.f64 (+.f64 r r) (*.f64 (cos.f64 b) (/.f64 2 (sin.f64 b))))
(/.f64 (+.f64 r r) (+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (/.f64 (cos.f64 b) (sin.f64 b))))
(/.f64 (+.f64 r r) (.f64 (.f64 (cos.f64 b) (/.f64 2 (sin.f64 b))) 1))
(/.f64 (+.f64 r r) (*.f64 -2 (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b)))))
(/.f64 -1 (/.f64 (/.f64 (cos.f64 b) (neg.f64 r)) (sin.f64 b)))
(/.f64 -1 (*.f64 (neg.f64 (/.f64 (cos.f64 b) r)) (/.f64 1 (sin.f64 b))))
(/.f64 2 (*.f64 (/.f64 (cos.f64 b) r) (/.f64 2 (sin.f64 b))))
(/.f64 2 (+.f64 (/.f64 (cos.f64 b) (.f64 (sin.f64 b) r)) (/.f64 (cos.f64 b) (.f64 (sin.f64 b) r))))
(/.f64 2 (.f64 (.f64 (/.f64 (cos.f64 b) r) (/.f64 2 (sin.f64 b))) 1))
(/.f64 (*.f64 r (/.f64 2 (cos.f64 b))) (/.f64 2 (sin.f64 b)))
(/.f64 (*.f64 r (/.f64 2 (cos.f64 b))) (+.f64 (/.f64 1 (sin.f64 b)) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 r (/.f64 2 (cos.f64 b))) (.f64 2 (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 r (/.f64 2 (cos.f64 b))) (.f64 (/.f64 2 (sin.f64 b)) 1))
(/.f64 (.f64 r 4) (+.f64 (.f64 (cos.f64 b) (/.f64 2 (sin.f64 b))) (*.f64 (cos.f64 b) (/.f64 2 (sin.f64 b)))))
(/.f64 (.f64 r 4) (/.f64 (.f64 (cos.f64 b) 4) (sin.f64 b)))
(/.f64 (.f64 r 4) (.f64 4 (/.f64 (cos.f64 b) (sin.f64 b))))
(/.f64 (.f64 r 4) (.f64 (*.f64 (cos.f64 b) 4) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 r 4) (.f64 2 (*.f64 (cos.f64 b) (/.f64 2 (sin.f64 b)))))
(/.f64 (.f64 r 4) (.f64 (*.f64 (cos.f64 b) 2) (/.f64 2 (sin.f64 b))))
(/.f64 (.f64 r 4) (.f64 -4 (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r 4) (/.f64 4 (/.f64 (sin.f64 b) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) 2) (.f64 (cos.f64 b) (/.f64 2 r)))
(/.f64 (.f64 (/.f64 r (cos.f64 b)) (.f64 (sin.f64 b) 2)) 2)
(/.f64 (/.f64 1 (cos.f64 b)) (/.f64 (/.f64 1 r) (sin.f64 b)))
(/.f64 (/.f64 1 (cos.f64 b)) (*.f64 (/.f64 1 r) (/.f64 1 (sin.f64 b))))
(/.f64 (neg.f64 r) (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b))))
(/.f64 (neg.f64 r) (*.f64 (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b))) 1))
(/.f64 (neg.f64 r) (/.f64 (neg.f64 (.f64 (cos.f64 b) 2)) (.f64 (sin.f64 b) 2)))
(/.f64 (neg.f64 r) (/.f64 -1 (/.f64 (sin.f64 b) (cos.f64 b))))
(/.f64 (/.f64 (cos.f64 b) r) (.f64 (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r)) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 (cos.f64 b) (/.f64 2 r)) (.f64 (.f64 2 (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 (cos.f64 b) (/.f64 2 r)) (.f64 (*.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r)) (/.f64 2 (sin.f64 b))))
(/.f64 4 (+.f64 (.f64 (/.f64 (cos.f64 b) r) (/.f64 2 (sin.f64 b))) (.f64 (/.f64 (cos.f64 b) r) (/.f64 2 (sin.f64 b)))))
(/.f64 4 (/.f64 (*.f64 (/.f64 (cos.f64 b) r) 4) (sin.f64 b)))
(/.f64 4 (.f64 (.f64 (/.f64 (cos.f64 b) r) 4) (/.f64 1 (sin.f64 b))))
(/.f64 4 (.f64 (.f64 (cos.f64 b) (/.f64 2 r)) (/.f64 2 (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) (.f64 (/.f64 r (cos.f64 b)) 4)) 4)
(/.f64 (*.f64 (/.f64 r (cos.f64 b)) 4) (+.f64 (/.f64 2 (sin.f64 b)) (/.f64 2 (sin.f64 b))))
(/.f64 (*.f64 (/.f64 r (cos.f64 b)) 4) (/.f64 4 (sin.f64 b)))
(/.f64 (.f64 (/.f64 r (cos.f64 b)) 4) (.f64 4 (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 (/.f64 r (cos.f64 b)) 4) (.f64 2 (/.f64 2 (sin.f64 b))))
(/.f64 (.f64 r 8) (/.f64 (.f64 (cos.f64 b) 8) (sin.f64 b)))
(/.f64 (.f64 r 8) (.f64 8 (/.f64 (cos.f64 b) (sin.f64 b))))
(/.f64 (.f64 r 8) (.f64 (*.f64 (cos.f64 b) 8) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 r 8) (.f64 4 (*.f64 (cos.f64 b) (/.f64 2 (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) 4) (.f64 (/.f64 (cos.f64 b) r) 4))
(/.f64 (.f64 (sin.f64 b) 4) (.f64 (*.f64 (/.f64 (cos.f64 b) r) 4) 1))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 1 r))
(/.f64 1/2 (/.f64 (*.f64 (cos.f64 b) (/.f64 1/2 r)) (sin.f64 b)))
(/.f64 1/2 (/.f64 (/.f64 (cos.f64 b) r) (*.f64 (sin.f64 b) 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 r) (/.f64 (sin.f64 b) (cos.f64 b))))
(/.f64 (/.f64 1/2 (cos.f64 b)) (/.f64 (/.f64 1/2 r) (sin.f64 b)))
(/.f64 (*.f64 r -2) (+.f64 (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b))) (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b)))))
(/.f64 (.f64 r -2) (/.f64 (.f64 (cos.f64 b) -2) (sin.f64 b)))
(/.f64 (.f64 r -2) (/.f64 (neg.f64 (.f64 (cos.f64 b) 2)) (sin.f64 b)))
(/.f64 (.f64 r -2) (.f64 (*.f64 (cos.f64 b) -2) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 r -2) (.f64 (neg.f64 (*.f64 (cos.f64 b) 2)) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 r -2) (.f64 (neg.f64 (cos.f64 b)) (/.f64 2 (sin.f64 b))))
(/.f64 (.f64 r -2) (.f64 2 (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b)))))
(/.f64 (.f64 (/.f64 r (cos.f64 b)) (/.f64 r (cos.f64 b))) (/.f64 (.f64 r (/.f64 2 (cos.f64 b))) (*.f64 (sin.f64 b) 2)))
(/.f64 (.f64 2 (.f64 (/.f64 r (cos.f64 b)) 4)) (*.f64 8 (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 2 (.f64 r 8)) (.f64 (.f64 2 (*.f64 (cos.f64 b) 8)) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 2 (.f64 (sin.f64 b) 4)) (+.f64 (.f64 (/.f64 (cos.f64 b) r) 4) (.f64 (/.f64 (cos.f64 b) r) 4)))
(/.f64 (.f64 2 (.f64 (sin.f64 b) 4)) (*.f64 8 (/.f64 (cos.f64 b) r)))
(/.f64 (.f64 2 (.f64 (sin.f64 b) (*.f64 (/.f64 r (cos.f64 b)) 4))) 8)
(/.f64 (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 b))) (/.f64 1/2 r))
(/.f64 (/.f64 r (neg.f64 (cos.f64 b))) (/.f64 -1 (sin.f64 b)))
(/.f64 (/.f64 r (neg.f64 (cos.f64 b))) (*.f64 -1 (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 (/.f64 (cos.f64 b) r) 4) (.f64 (.f64 2 (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))) (/.f64 2 (sin.f64 b))))
(/.f64 (.f64 r (/.f64 1/2 (cos.f64 b))) (/.f64 1 (.f64 (sin.f64 b) 2)))
(/.f64 (.f64 r (/.f64 1/2 (cos.f64 b))) (.f64 1/2 (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 (.f64 (cos.f64 b) (/.f64 2 r)) (/.f64 r (cos.f64 b))) (*.f64 (/.f64 (cos.f64 b) r) (/.f64 2 (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) 1/2) (.f64 (cos.f64 b) (/.f64 1/2 r)))
(/.f64 (.f64 (sin.f64 b) (.f64 r (/.f64 1/2 (cos.f64 b)))) 1/2)
(/.f64 (.f64 4 (neg.f64 r)) (.f64 (.f64 2 (.f64 (cos.f64 b) -2)) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 4 (neg.f64 r)) (.f64 (.f64 2 (neg.f64 (.f64 (cos.f64 b) 2))) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 4 (neg.f64 r)) (.f64 (neg.f64 (*.f64 (cos.f64 b) 4)) (/.f64 1 (sin.f64 b))))
(/.f64 (.f64 4 (neg.f64 r)) (.f64 4 (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b)))))
(/.f64 (neg.f64 (.f64 r -2)) (.f64 (cos.f64 b) (/.f64 2 (sin.f64 b))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 b) r)))
(/.f64 (neg.f64 (sin.f64 b)) (*.f64 (neg.f64 (/.f64 (cos.f64 b) r)) 1))
(/.f64 (neg.f64 (/.f64 r (cos.f64 b))) (/.f64 -1 (sin.f64 b)))
(/.f64 (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))) (+.f64 (/.f64 1 r) (/.f64 1 r)))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 b) (.f64 (/.f64 r (cos.f64 b)) 4))) (.f64 2 (.f64 (sin.f64 b) (.f64 (/.f64 r (cos.f64 b)) 4)))) 16)
(/.f64 (+.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 b))) (+.f64 (neg.f64 (/.f64 (cos.f64 b) r)) (neg.f64 (/.f64 (cos.f64 b) r))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) 2) (cos.f64 b)) (/.f64 2 r))
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 b) 4)) (/.f64 (cos.f64 b) r)) 8)
(/.f64 (/.f64 (*.f64 r 8) (/.f64 (cos.f64 b) (sin.f64 b))) 8)
(/.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (cos.f64 b))
(/.f64 (/.f64 1 (/.f64 1 (sin.f64 b))) (/.f64 (cos.f64 b) r))
(/.f64 (/.f64 (+.f64 r r) (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 b) 2))
(/.f64 (/.f64 -1 (/.f64 1 (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 b) r)))
(/.f64 (/.f64 2 (/.f64 1 (sin.f64 b))) (*.f64 (cos.f64 b) (/.f64 2 r)))
(/.f64 (/.f64 (.f64 r 4) (/.f64 1 (sin.f64 b))) (.f64 (cos.f64 b) 4))
(/.f64 (/.f64 (/.f64 1 (cos.f64 b)) (/.f64 1 (sin.f64 b))) (/.f64 1 r))
(/.f64 (/.f64 (neg.f64 r) (/.f64 1 (sin.f64 b))) (neg.f64 (cos.f64 b)))
(/.f64 (/.f64 (/.f64 (cos.f64 b) r) (/.f64 1 (sin.f64 b))) (*.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r)))
(/.f64 (/.f64 (.f64 (cos.f64 b) (/.f64 2 r)) (/.f64 1 (sin.f64 b))) (.f64 2 (*.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(/.f64 (/.f64 4 (/.f64 1 (sin.f64 b))) (*.f64 (/.f64 (cos.f64 b) r) 4))
(/.f64 (/.f64 (.f64 r 8) (/.f64 1 (sin.f64 b))) (.f64 (cos.f64 b) 8))
(/.f64 (/.f64 (.f64 r -2) (/.f64 1 (sin.f64 b))) (.f64 (cos.f64 b) -2))
(/.f64 (/.f64 (.f64 r -2) (/.f64 1 (sin.f64 b))) (neg.f64 (.f64 (cos.f64 b) 2)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 r (cos.f64 b)) 4)) (/.f64 1 (sin.f64 b))) 8)
(/.f64 (/.f64 (.f64 2 (.f64 r 8)) (/.f64 1 (sin.f64 b))) (.f64 2 (.f64 (cos.f64 b) 8)))
(/.f64 (/.f64 (/.f64 r (neg.f64 (cos.f64 b))) (/.f64 1 (sin.f64 b))) -1)
(/.f64 (/.f64 (.f64 4 (neg.f64 r)) (/.f64 1 (sin.f64 b))) (.f64 2 (*.f64 (cos.f64 b) -2)))
(/.f64 (/.f64 (.f64 4 (neg.f64 r)) (/.f64 1 (sin.f64 b))) (.f64 2 (neg.f64 (*.f64 (cos.f64 b) 2))))
(/.f64 (/.f64 (.f64 4 (neg.f64 r)) (/.f64 1 (sin.f64 b))) (neg.f64 (.f64 (cos.f64 b) 4)))
(/.f64 (/.f64 (neg.f64 (.f64 r -2)) (/.f64 1 (sin.f64 b))) (.f64 (cos.f64 b) 2))
(/.f64 (/.f64 1 (/.f64 2 (sin.f64 b))) (*.f64 (cos.f64 b) (/.f64 1/2 r)))
(/.f64 (/.f64 (+.f64 r r) (/.f64 2 (sin.f64 b))) (cos.f64 b))
(/.f64 (/.f64 2 (/.f64 2 (sin.f64 b))) (/.f64 (cos.f64 b) r))
(/.f64 (/.f64 (.f64 r 4) (/.f64 2 (sin.f64 b))) (.f64 (cos.f64 b) 2))
(/.f64 (/.f64 (.f64 (cos.f64 b) (/.f64 2 r)) (/.f64 2 (sin.f64 b))) (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r)))
(/.f64 (/.f64 4 (/.f64 2 (sin.f64 b))) (*.f64 (cos.f64 b) (/.f64 2 r)))
(/.f64 (/.f64 (*.f64 r -2) (/.f64 2 (sin.f64 b))) (neg.f64 (cos.f64 b)))
(/.f64 (/.f64 (.f64 (/.f64 (cos.f64 b) r) 4) (/.f64 2 (sin.f64 b))) (.f64 2 (*.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 b) (/.f64 2 r)) (/.f64 r (cos.f64 b))) (/.f64 2 (sin.f64 b))) (/.f64 (cos.f64 b) r))
(/.f64 (/.f64 r (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b)))) -1)
(/.f64 (/.f64 (+.f64 r r) (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b)))) -2)
(/.f64 (/.f64 (*.f64 r 4) (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b)))) -4)
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b)))) 4)
(/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (cos.f64 b))
(/.f64 (/.f64 (sin.f64 b) 1/2) (*.f64 (cos.f64 b) (/.f64 2 r)))
(/.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) (/.f64 -1 r))
(/.f64 (neg.f64 (.f64 (sin.f64 b) 2)) (-.f64 0 (.f64 (cos.f64 b) (/.f64 2 r))))
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (-.f64 0 (/.f64 1 r)))
(pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) 1)
(+.f64 (/.f64 r (cos.f64 b)) 0)
(+.f64 0 (/.f64 r (cos.f64 b)))
(+.f64 (.f64 r (/.f64 1/2 (cos.f64 b))) (.f64 r (/.f64 1/2 (cos.f64 b))))
(-.f64 (/.f64 r (cos.f64 b)) 0)
(*.f64 r (/.f64 1 (cos.f64 b)))
(.f64 r (.f64 (*.f64 2 (/.f64 1 (cos.f64 b))) 1/2))
(.f64 r (.f64 (/.f64 2 (cos.f64 b)) 1/2))
(.f64 (cos.f64 b) (/.f64 (/.f64 1 r) (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(*.f64 (/.f64 r (cos.f64 b)) 1)
(*.f64 1 (/.f64 r (cos.f64 b)))
(*.f64 (+.f64 r r) (/.f64 1/2 (cos.f64 b)))
(*.f64 -1 (/.f64 r (neg.f64 (cos.f64 b))))
(.f64 -1 (.f64 (/.f64 r (neg.f64 (cos.f64 b))) 1))
(.f64 -1 (/.f64 (+.f64 r r) (neg.f64 (.f64 (cos.f64 b) 2))))
(.f64 2 (.f64 r (/.f64 1/2 (cos.f64 b))))
(.f64 (.f64 r (/.f64 2 (cos.f64 b))) 1/2)
(.f64 (.f64 r 4) (/.f64 (/.f64 1/2 (cos.f64 b)) 2))
(.f64 (.f64 r 4) (*.f64 (/.f64 (/.f64 1/2 (cos.f64 b)) 2) 1))
(.f64 (.f64 r 4) (*.f64 1/4 (/.f64 1 (cos.f64 b))))
(.f64 (.f64 r 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 b))))
(*.f64 (/.f64 1 (cos.f64 b)) r)
(*.f64 (/.f64 1 (cos.f64 b)) (/.f64 1 (/.f64 1 r)))
(*.f64 (neg.f64 r) (/.f64 -1 (cos.f64 b)))
(.f64 (neg.f64 r) (.f64 (/.f64 -1 (cos.f64 b)) 1))
(.f64 (/.f64 (cos.f64 b) r) (/.f64 1 (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(.f64 (/.f64 (cos.f64 b) r) (/.f64 2 (.f64 2 (*.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r)))))
(.f64 (.f64 (cos.f64 b) (/.f64 2 r)) (/.f64 1 (.f64 2 (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r)))))
(.f64 (.f64 (cos.f64 b) (/.f64 2 r)) (/.f64 1/2 (*.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(.f64 4 (/.f64 r (.f64 (cos.f64 b) 4)))
(*.f64 4 (/.f64 (/.f64 r (cos.f64 b)) 4))
(.f64 (.f64 (/.f64 r (cos.f64 b)) 4) 1/4)
(.f64 (.f64 r 8) (/.f64 1 (*.f64 (cos.f64 b) 8)))
(.f64 1/2 (.f64 r (/.f64 2 (cos.f64 b))))
(.f64 (/.f64 1 r) (/.f64 (cos.f64 b) (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(.f64 (/.f64 1 r) (/.f64 (.f64 (cos.f64 b) 2) (.f64 2 (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r)))))
(*.f64 (/.f64 1/2 (cos.f64 b)) (+.f64 r r))
(.f64 (.f64 r -2) (/.f64 1/2 (neg.f64 (cos.f64 b))))
(.f64 (.f64 r -2) (/.f64 1 (*.f64 (cos.f64 b) -2)))
(.f64 (.f64 r -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 b) 2))))
(.f64 (.f64 2 (/.f64 1 (cos.f64 b))) (/.f64 r 2))
(*.f64 (/.f64 r (neg.f64 (cos.f64 b))) -1)
(*.f64 (/.f64 2 (cos.f64 b)) (/.f64 r 2))
(.f64 (/.f64 1/2 r) (/.f64 (.f64 (cos.f64 b) 2) (*.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(.f64 (.f64 r (/.f64 1/2 (cos.f64 b))) 2)
(.f64 (.f64 (cos.f64 b) (/.f64 1/2 r)) (/.f64 2 (*.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(.f64 1/4 (.f64 (/.f64 r (cos.f64 b)) 4))
(.f64 (/.f64 (/.f64 1/2 (cos.f64 b)) 2) (.f64 r 4))
(*.f64 (/.f64 -1 (cos.f64 b)) (neg.f64 r))
(.f64 (/.f64 -1 r) (/.f64 (neg.f64 (cos.f64 b)) (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(*.f64 (/.f64 r 2) (/.f64 2 (cos.f64 b)))
(.f64 (/.f64 2 r) (/.f64 (cos.f64 b) (.f64 2 (*.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r)))))
(pow.f64 (/.f64 r (cos.f64 b)) 1)
(neg.f64 (/.f64 r (neg.f64 (cos.f64 b))))
(+.f64 (cos.f64 b) 0)
(+.f64 0 (cos.f64 b))
(-.f64 (cos.f64 b) 0)
(-.f64 0 (neg.f64 (cos.f64 b)))
(*.f64 (cos.f64 b) 1)
(*.f64 1 (cos.f64 b))
(.f64 (.f64 (cos.f64 b) 2) 1/2)
(*.f64 -1 (neg.f64 (cos.f64 b)))
(.f64 2 (.f64 (cos.f64 b) 1/2))
(.f64 (.f64 (cos.f64 b) 4) 1/4)
(*.f64 (neg.f64 (cos.f64 b)) -1)
(*.f64 4 (/.f64 (cos.f64 b) 4))
(.f64 (.f64 (cos.f64 b) 8) 1/8)
(.f64 1/2 (.f64 (cos.f64 b) 2))
(.f64 (.f64 (cos.f64 b) 1/2) 2)
(.f64 1/4 (.f64 (cos.f64 b) 4))
(/.f64 (cos.f64 b) 1)
(/.f64 1 (/.f64 1 (cos.f64 b)))
(/.f64 (*.f64 (cos.f64 b) 2) 2)
(/.f64 -1 (-.f64 0 (/.f64 1 (cos.f64 b))))
(/.f64 2 (*.f64 2 (/.f64 1 (cos.f64 b))))
(/.f64 2 (/.f64 2 (cos.f64 b)))
(/.f64 (*.f64 (cos.f64 b) 4) 4)
(/.f64 (neg.f64 (cos.f64 b)) -1)
(/.f64 (*.f64 (cos.f64 b) 8) 8)
(/.f64 (*.f64 (cos.f64 b) -2) -2)
(/.f64 1/2 (/.f64 1/2 (cos.f64 b)))
(/.f64 (neg.f64 (*.f64 (cos.f64 b) 2)) -2)
(/.f64 (.f64 2 (.f64 (cos.f64 b) 8)) 16)
(/.f64 (/.f64 (*.f64 (cos.f64 b) -2) -1) 2)
(pow.f64 (cos.f64 b) 1)
(neg.f64 (neg.f64 (cos.f64 b)))

Outputs
(*.f64 r b)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(+.f64 (.f64 r b) (.f64 (-.f64 (.f64 r -1/6) (.f64 r -1/2)) (pow.f64 b 3)))
(+.f64 (.f64 r b) (.f64 (*.f64 r 1/3) (pow.f64 b 3)))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(+.f64 (.f64 r b) (+.f64 (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 -1/2 (-.f64 (.f64 r -1/6) (.f64 r -1/2)))))) (.f64 (-.f64 (.f64 r -1/6) (.f64 r -1/2)) (pow.f64 b 3))))
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(/.f64 (/.f64 (.f64 (.f64 (cos.f64 b) (/.f64 2 r)) (/.f64 r (cos.f64 b))) (/.f64 2 (sin.f64 b))) (/.f64 (cos.f64 b) r))
(.f64 (/.f64 r (cos.f64 b)) (/.f64 (.f64 (cos.f64 b) (/.f64 2 r)) (*.f64 (/.f64 (cos.f64 b) r) (/.f64 2 (sin.f64 b)))))
(.f64 (/.f64 r (cos.f64 b)) (/.f64 (sin.f64 b) (.f64 (/.f64 r (cos.f64 b)) (/.f64 (cos.f64 b) r))))
(/.f64 (/.f64 r (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b)))) -1)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (/.f64 (+.f64 r r) (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b)))) -2)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (/.f64 (*.f64 r 4) (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b)))) -4)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 r)) (/.f64 (cos.f64 b) (neg.f64 (sin.f64 b)))) 4)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (/.f64 (sin.f64 b) 1/2) (*.f64 (cos.f64 b) (/.f64 2 r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) (/.f64 -1 r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (neg.f64 (.f64 (sin.f64 b) 2)) (-.f64 0 (.f64 (cos.f64 b) (/.f64 2 r))))
(/.f64 (neg.f64 (.f64 (sin.f64 b) 2)) (neg.f64 (.f64 (cos.f64 b) (/.f64 2 r))))
(/.f64 (.f64 (sin.f64 b) -2) (neg.f64 (.f64 (cos.f64 b) (/.f64 2 r))))
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (-.f64 0 (/.f64 1 r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) 1)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(+.f64 (/.f64 r (cos.f64 b)) 0)
(/.f64 r (cos.f64 b))
(+.f64 0 (/.f64 r (cos.f64 b)))
(/.f64 r (cos.f64 b))
(+.f64 (.f64 r (/.f64 1/2 (cos.f64 b))) (.f64 r (/.f64 1/2 (cos.f64 b))))
(*.f64 (+.f64 r r) (/.f64 1/2 (cos.f64 b)))
(-.f64 (/.f64 r (cos.f64 b)) 0)
(/.f64 r (cos.f64 b))
(*.f64 r (/.f64 1 (cos.f64 b)))
(/.f64 r (cos.f64 b))
(.f64 r (.f64 (*.f64 2 (/.f64 1 (cos.f64 b))) 1/2))
(.f64 (.f64 2 (/.f64 1 (cos.f64 b))) (*.f64 1/2 r))
(.f64 r (.f64 (/.f64 1 (cos.f64 b)) 1))
(.f64 r (.f64 (/.f64 2 (cos.f64 b)) 1/2))
(.f64 (/.f64 2 (cos.f64 b)) (.f64 1/2 r))
(.f64 r (.f64 1/2 (/.f64 2 (cos.f64 b))))
(.f64 (cos.f64 b) (/.f64 (/.f64 1 r) (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(*.f64 (cos.f64 b) (/.f64 r (/.f64 (cos.f64 b) (/.f64 (/.f64 r (cos.f64 b)) r))))
(*.f64 (/.f64 r (cos.f64 b)) 1)
(/.f64 r (cos.f64 b))
(*.f64 1 (/.f64 r (cos.f64 b)))
(/.f64 r (cos.f64 b))
(*.f64 (+.f64 r r) (/.f64 1/2 (cos.f64 b)))
(+.f64 (.f64 r (/.f64 1/2 (cos.f64 b))) (.f64 r (/.f64 1/2 (cos.f64 b))))
(*.f64 -1 (/.f64 r (neg.f64 (cos.f64 b))))
(/.f64 r (cos.f64 b))
(.f64 -1 (.f64 (/.f64 r (neg.f64 (cos.f64 b))) 1))
(/.f64 r (cos.f64 b))
(.f64 -1 (/.f64 (+.f64 r r) (neg.f64 (.f64 (cos.f64 b) 2))))
(/.f64 r (cos.f64 b))
(.f64 2 (.f64 r (/.f64 1/2 (cos.f64 b))))
(.f64 r (.f64 (/.f64 1/2 (cos.f64 b)) 2))
(.f64 (/.f64 1/2 (cos.f64 b)) (.f64 r 2))
(.f64 (.f64 r (/.f64 2 (cos.f64 b))) 1/2)
(.f64 (/.f64 2 (cos.f64 b)) (.f64 1/2 r))
(.f64 r (.f64 1/2 (/.f64 2 (cos.f64 b))))
(.f64 (.f64 r 4) (/.f64 (/.f64 1/2 (cos.f64 b)) 2))
(.f64 r (.f64 4 (/.f64 1/4 (cos.f64 b))))
(.f64 (.f64 r 4) (*.f64 (/.f64 (/.f64 1/2 (cos.f64 b)) 2) 1))
(.f64 r (.f64 4 (/.f64 1/4 (cos.f64 b))))
(.f64 (.f64 r 4) (*.f64 1/4 (/.f64 1 (cos.f64 b))))
(/.f64 r (cos.f64 b))
(.f64 (.f64 r 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 b))))
(.f64 1/2 (.f64 (/.f64 1/2 (cos.f64 b)) (*.f64 r 4)))
(.f64 1/2 (.f64 (*.f64 r 4) (/.f64 1/2 (cos.f64 b))))
(*.f64 (/.f64 1 (cos.f64 b)) r)
(/.f64 r (cos.f64 b))
(*.f64 (/.f64 1 (cos.f64 b)) (/.f64 1 (/.f64 1 r)))
(/.f64 r (cos.f64 b))
(*.f64 (neg.f64 r) (/.f64 -1 (cos.f64 b)))
(/.f64 r (cos.f64 b))
(.f64 (neg.f64 r) (.f64 (/.f64 -1 (cos.f64 b)) 1))
(/.f64 r (cos.f64 b))
(.f64 (/.f64 (cos.f64 b) r) (/.f64 1 (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(*.f64 (/.f64 (cos.f64 b) r) (/.f64 r (/.f64 (cos.f64 b) (/.f64 r (cos.f64 b)))))
(.f64 (/.f64 (cos.f64 b) r) (/.f64 2 (.f64 2 (*.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r)))))
(.f64 (/.f64 (cos.f64 b) r) (/.f64 1 (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(*.f64 (/.f64 (cos.f64 b) r) (/.f64 r (/.f64 (cos.f64 b) (/.f64 r (cos.f64 b)))))
(.f64 (.f64 (cos.f64 b) (/.f64 2 r)) (/.f64 1 (.f64 2 (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r)))))
(.f64 (cos.f64 b) (/.f64 (/.f64 1 r) (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(*.f64 (cos.f64 b) (/.f64 r (/.f64 (cos.f64 b) (/.f64 (/.f64 r (cos.f64 b)) r))))
(.f64 (.f64 (cos.f64 b) (/.f64 2 r)) (/.f64 1/2 (*.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(.f64 (cos.f64 b) (/.f64 (/.f64 1 r) (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(*.f64 (cos.f64 b) (/.f64 r (/.f64 (cos.f64 b) (/.f64 (/.f64 r (cos.f64 b)) r))))
(.f64 4 (/.f64 r (.f64 (cos.f64 b) 4)))
(/.f64 r (cos.f64 b))
(*.f64 4 (/.f64 (/.f64 r (cos.f64 b)) 4))
(/.f64 r (cos.f64 b))
(.f64 (.f64 (/.f64 r (cos.f64 b)) 4) 1/4)
(/.f64 r (cos.f64 b))
(.f64 (.f64 r 8) (/.f64 1 (*.f64 (cos.f64 b) 8)))
(/.f64 r (cos.f64 b))
(.f64 1/2 (.f64 r (/.f64 2 (cos.f64 b))))
(.f64 (/.f64 2 (cos.f64 b)) (.f64 1/2 r))
(.f64 r (.f64 1/2 (/.f64 2 (cos.f64 b))))
(.f64 (/.f64 1 r) (/.f64 (cos.f64 b) (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(.f64 (/.f64 1 r) (.f64 (cos.f64 b) (/.f64 r (/.f64 (cos.f64 b) (/.f64 r (cos.f64 b))))))
(.f64 (/.f64 1 r) (/.f64 (.f64 (cos.f64 b) 2) (.f64 2 (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r)))))
(.f64 (/.f64 1 r) (/.f64 (cos.f64 b) (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(.f64 (/.f64 1 r) (.f64 (cos.f64 b) (/.f64 r (/.f64 (cos.f64 b) (/.f64 r (cos.f64 b))))))
(*.f64 (/.f64 1/2 (cos.f64 b)) (+.f64 r r))
(+.f64 (.f64 r (/.f64 1/2 (cos.f64 b))) (.f64 r (/.f64 1/2 (cos.f64 b))))
(*.f64 (+.f64 r r) (/.f64 1/2 (cos.f64 b)))
(.f64 (.f64 r -2) (/.f64 1/2 (neg.f64 (cos.f64 b))))
(.f64 r (.f64 -2 (/.f64 -1/2 (cos.f64 b))))
(.f64 (.f64 r -2) (/.f64 1 (*.f64 (cos.f64 b) -2)))
(.f64 (.f64 r -2) (/.f64 1/2 (neg.f64 (cos.f64 b))))
(.f64 r (.f64 -2 (/.f64 -1/2 (cos.f64 b))))
(.f64 (.f64 r -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 b) 2))))
(.f64 (.f64 r -2) (/.f64 1/2 (neg.f64 (cos.f64 b))))
(.f64 r (.f64 -2 (/.f64 -1/2 (cos.f64 b))))
(.f64 (.f64 2 (/.f64 1 (cos.f64 b))) (/.f64 r 2))
(.f64 2 (.f64 (/.f64 1 (cos.f64 b)) (/.f64 r 2)))
(*.f64 (/.f64 r (neg.f64 (cos.f64 b))) -1)
(/.f64 r (cos.f64 b))
(*.f64 (/.f64 2 (cos.f64 b)) (/.f64 r 2))
(/.f64 r (cos.f64 b))
(.f64 (/.f64 1/2 r) (/.f64 (.f64 (cos.f64 b) 2) (*.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(.f64 (/.f64 1/2 r) (.f64 2 (/.f64 (cos.f64 b) (*.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r)))))
(.f64 (cos.f64 b) (.f64 (/.f64 1/2 r) (/.f64 r (/.f64 (cos.f64 b) (*.f64 r (/.f64 2 (cos.f64 b)))))))
(.f64 (.f64 r (/.f64 1/2 (cos.f64 b))) 2)
(.f64 r (.f64 (/.f64 1/2 (cos.f64 b)) 2))
(.f64 (/.f64 1/2 (cos.f64 b)) (.f64 r 2))
(.f64 (.f64 (cos.f64 b) (/.f64 1/2 r)) (/.f64 2 (*.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(.f64 (/.f64 1/2 r) (.f64 2 (/.f64 (cos.f64 b) (*.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r)))))
(.f64 (cos.f64 b) (.f64 (/.f64 1/2 r) (/.f64 r (/.f64 (cos.f64 b) (*.f64 r (/.f64 2 (cos.f64 b)))))))
(.f64 1/4 (.f64 (/.f64 r (cos.f64 b)) 4))
(/.f64 r (cos.f64 b))
(.f64 (/.f64 (/.f64 1/2 (cos.f64 b)) 2) (.f64 r 4))
(.f64 r (.f64 4 (/.f64 1/4 (cos.f64 b))))
(*.f64 (/.f64 -1 (cos.f64 b)) (neg.f64 r))
(/.f64 r (cos.f64 b))
(.f64 (/.f64 -1 r) (/.f64 (neg.f64 (cos.f64 b)) (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(*.f64 (/.f64 (/.f64 r (/.f64 (cos.f64 b) (neg.f64 (cos.f64 b)))) (/.f64 (cos.f64 b) r)) (/.f64 -1 r))
(*.f64 (/.f64 r 2) (/.f64 2 (cos.f64 b)))
(/.f64 r (cos.f64 b))
(.f64 (/.f64 2 r) (/.f64 (cos.f64 b) (.f64 2 (*.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r)))))
(.f64 (cos.f64 b) (/.f64 (/.f64 1 r) (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 b) r))))
(*.f64 (cos.f64 b) (/.f64 r (/.f64 (cos.f64 b) (/.f64 (/.f64 r (cos.f64 b)) r))))
(pow.f64 (/.f64 r (cos.f64 b)) 1)
(/.f64 r (cos.f64 b))
(neg.f64 (/.f64 r (neg.f64 (cos.f64 b))))
(/.f64 r (cos.f64 b))
(+.f64 (cos.f64 b) 0)
(cos.f64 b)
(+.f64 0 (cos.f64 b))
(cos.f64 b)
(-.f64 (cos.f64 b) 0)
(cos.f64 b)
(-.f64 0 (neg.f64 (cos.f64 b)))
(cos.f64 b)
(*.f64 (cos.f64 b) 1)
(cos.f64 b)
(*.f64 1 (cos.f64 b))
(cos.f64 b)
(.f64 (.f64 (cos.f64 b) 2) 1/2)
(cos.f64 b)
(*.f64 -1 (neg.f64 (cos.f64 b)))
(cos.f64 b)
(.f64 2 (.f64 (cos.f64 b) 1/2))
(cos.f64 b)
(.f64 (.f64 (cos.f64 b) 4) 1/4)
(cos.f64 b)
(*.f64 (neg.f64 (cos.f64 b)) -1)
(cos.f64 b)
(*.f64 4 (/.f64 (cos.f64 b) 4))
(cos.f64 b)
(.f64 (.f64 (cos.f64 b) 8) 1/8)
(cos.f64 b)
(.f64 1/2 (.f64 (cos.f64 b) 2))
(cos.f64 b)
(.f64 (.f64 (cos.f64 b) 1/2) 2)
(cos.f64 b)
(.f64 1/4 (.f64 (cos.f64 b) 4))
(cos.f64 b)
(/.f64 (cos.f64 b) 1)
(cos.f64 b)
(/.f64 1 (/.f64 1 (cos.f64 b)))
(cos.f64 b)
(/.f64 (*.f64 (cos.f64 b) 2) 2)
(cos.f64 b)
(/.f64 -1 (-.f64 0 (/.f64 1 (cos.f64 b))))
(cos.f64 b)
(/.f64 2 (*.f64 2 (/.f64 1 (cos.f64 b))))
(cos.f64 b)
(/.f64 2 (/.f64 2 (cos.f64 b)))
(cos.f64 b)
(/.f64 (*.f64 (cos.f64 b) 4) 4)
(cos.f64 b)
(/.f64 (neg.f64 (cos.f64 b)) -1)
(cos.f64 b)
(/.f64 (*.f64 (cos.f64 b) 8) 8)
(cos.f64 b)
(/.f64 (*.f64 (cos.f64 b) -2) -2)
(cos.f64 b)
(/.f64 1/2 (/.f64 1/2 (cos.f64 b)))
(cos.f64 b)
(/.f64 (neg.f64 (*.f64 (cos.f64 b) 2)) -2)
(cos.f64 b)
(/.f64 (.f64 2 (.f64 (cos.f64 b) 8)) 16)
(cos.f64 b)
(/.f64 (/.f64 (*.f64 (cos.f64 b) -2) -1) 2)
(cos.f64 b)
(pow.f64 (cos.f64 b) 1)
(cos.f64 b)
(neg.f64 (neg.f64 (cos.f64 b)))
(cos.f64 b)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 2 (cos.f64 b))
	0.1b	(*.f64 r (sin.f64 b))
✓	0.2b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 b))))
✓	0.6b	(-.f64 2 (-.f64 2 (cos.f64 b)))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series1.0ms (0%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	r	@	inf	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 b))))
0.0ms	r	@	-inf	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 b))))
0.0ms	b	@	0	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 b))))
0.0ms	b	@	0	(-.f64 2 (cos.f64 b))
0.0ms	b	@	0	(-.f64 2 (-.f64 2 (cos.f64 b)))

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`rational.json-1`
1322×	`rational.json-2`
1322×	`rational.json-4`
1322×	`rational.json-3`
1314×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	91	37
2	247	37
3	649	37
4	1999	37
5	4885	37

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs
(-.f64 2 (-.f64 2 (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 b))))
(-.f64 2 (cos.f64 b))

Outputs

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

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

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

simplify265.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1244×	`rational.json-simplify-51`
1090×	`rational.json-simplify-49`
862×	`rational.json-simplify-43`
844×	`rational.json-simplify-46`
690×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	264	3114
1	548	3030
2	1473	2902
3	5580	2836

Stop Event

1×	node limit

Counts

164 → 170

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 b 2)))
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 1 (.f64 -1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (*.f64 -1/720 (pow.f64 b 6)))))
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r b)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
1
(+.f64 1 (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (+.f64 (.f64 -1/24 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 2))))
(+.f64 1 (+.f64 (.f64 -1/24 (pow.f64 b 4)) (+.f64 (.f64 1/720 (pow.f64 b 6)) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 2 (+.f64 (cos.f64 b) -2))
(+.f64 (cos.f64 b) 0)
(+.f64 0 (cos.f64 b))
(+.f64 1 (+.f64 (cos.f64 b) -1))
(+.f64 -1 (+.f64 1 (cos.f64 b)))
(+.f64 (+.f64 (cos.f64 b) -2) 2)
(+.f64 -2 (+.f64 2 (cos.f64 b)))
(+.f64 (+.f64 1 (cos.f64 b)) -1)
(+.f64 (+.f64 2 (cos.f64 b)) -2)
(+.f64 (/.f64 (cos.f64 b) 2) (/.f64 (cos.f64 b) 2))
(+.f64 (+.f64 (cos.f64 b) -1) 1)
(*.f64 2 (/.f64 (cos.f64 b) 2))
(*.f64 (cos.f64 b) 1)
(*.f64 1 (cos.f64 b))
(.f64 (.f64 2 (cos.f64 b)) 1/2)
(*.f64 (neg.f64 (cos.f64 b)) -1)
(*.f64 -1 (neg.f64 (cos.f64 b)))
(.f64 (.f64 (cos.f64 b) 4) 1/4)
(.f64 1/2 (.f64 2 (cos.f64 b)))
(*.f64 (/.f64 (cos.f64 b) 2) 2)
(.f64 1/4 (.f64 (cos.f64 b) 4))
(/.f64 (cos.f64 b) 1)
(/.f64 (*.f64 2 (cos.f64 b)) 2)
(/.f64 (neg.f64 (cos.f64 b)) -1)
(/.f64 (*.f64 (cos.f64 b) 4) 4)
(/.f64 (*.f64 2 (neg.f64 (cos.f64 b))) -2)
(/.f64 (.f64 2 (.f64 (cos.f64 b) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (cos.f64 b) 4))) 16)
(pow.f64 (cos.f64 b) 1)
(neg.f64 (neg.f64 (cos.f64 b)))
(cos.f64 b)
(cos.f64 (neg.f64 b))
(+.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) 0)
(+.f64 0 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(+.f64 -1 (-.f64 1 (*.f64 r (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))))))
(+.f64 (/.f64 (.f64 r (sin.f64 b)) (.f64 2 (cos.f64 b))) (/.f64 (.f64 r (sin.f64 b)) (.f64 2 (cos.f64 b))))
(+.f64 (/.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) 2) (/.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) 2))
(+.f64 (-.f64 1 (*.f64 r (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))))) -1)
(-.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) 0)
(-.f64 0 (*.f64 r (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b)))))
(-.f64 (.f64 r (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b)))) (.f64 2 (*.f64 r (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))))))
(-.f64 (.f64 r (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b)))) (/.f64 (.f64 (sin.f64 b) (*.f64 r -2)) (cos.f64 b)))
(.f64 2 (/.f64 (.f64 r (sin.f64 b)) (*.f64 2 (cos.f64 b))))
(.f64 2 (/.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) 2))
(.f64 2 (.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 b)))))
(.f64 2 (.f64 (sin.f64 b) (/.f64 (*.f64 r 1/2) (cos.f64 b))))
(.f64 2 (.f64 (/.f64 r (cos.f64 b)) (*.f64 (sin.f64 b) 1/2)))
(.f64 2 (.f64 (*.f64 r (sin.f64 b)) (/.f64 1/2 (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 b)))
(.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) 1)
(.f64 1 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(.f64 (.f64 r (*.f64 2 (sin.f64 b))) (/.f64 1/2 (cos.f64 b)))
(.f64 (.f64 r (.f64 2 (sin.f64 b))) (.f64 (/.f64 1 (cos.f64 b)) 1/2))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(.f64 (.f64 (sin.f64 b) (neg.f64 r)) (/.f64 -1 (cos.f64 b)))
(.f64 -1 (.f64 r (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b)))))
(.f64 (+.f64 r r) (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 b))))
(.f64 (+.f64 r r) (.f64 (/.f64 1 (cos.f64 b)) (*.f64 (sin.f64 b) 1/2)))
(.f64 (.f64 (sin.f64 b) (/.f64 (+.f64 r r) (cos.f64 b))) 1/2)
(.f64 (.f64 (sin.f64 b) (.f64 r 4)) (/.f64 1 (.f64 (cos.f64 b) 4)))
(.f64 (.f64 2 (sin.f64 b)) (/.f64 (*.f64 r 1/2) (cos.f64 b)))
(.f64 (.f64 2 (sin.f64 b)) (.f64 (/.f64 1 (cos.f64 b)) (.f64 r 1/2)))
(.f64 (.f64 2 (sin.f64 b)) (*.f64 (/.f64 r (cos.f64 b)) 1/2))
(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))))
(.f64 (.f64 r (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b)))) -1)
(.f64 (/.f64 (+.f64 r r) (cos.f64 b)) (.f64 (sin.f64 b) 1/2))
(.f64 (.f64 2 (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 r 1/2))
(.f64 (/.f64 (.f64 r 1/2) (cos.f64 b)) (*.f64 2 (sin.f64 b)))
(.f64 (.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 b))) (+.f64 r r))
(.f64 (/.f64 1/2 (cos.f64 b)) (.f64 r (*.f64 2 (sin.f64 b))))
(.f64 (/.f64 -1 (cos.f64 b)) (.f64 (sin.f64 b) (neg.f64 r)))
(.f64 1/2 (.f64 (sin.f64 b) (/.f64 (+.f64 r r) (cos.f64 b))))
(.f64 (.f64 r 1/2) (*.f64 2 (/.f64 (sin.f64 b) (cos.f64 b))))
(.f64 (.f64 (sin.f64 b) 1/2) (/.f64 (+.f64 r r) (cos.f64 b)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 b))))
(.f64 (.f64 (sin.f64 b) (.f64 r -2)) (/.f64 -1 (.f64 2 (cos.f64 b))))
(.f64 (.f64 (/.f64 1 (cos.f64 b)) 1/2) (.f64 r (.f64 2 (sin.f64 b))))
(.f64 (.f64 (/.f64 1 (cos.f64 b)) (*.f64 (sin.f64 b) 1/2)) (+.f64 r r))
(.f64 (.f64 (/.f64 1 (cos.f64 b)) (.f64 r 1/2)) (.f64 2 (sin.f64 b)))
(*.f64 (/.f64 r (neg.f64 (cos.f64 b))) (neg.f64 (sin.f64 b)))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 2 (cos.f64 b))) 2)
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) (neg.f64 r))
(.f64 (/.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) 2) 2)
(.f64 (/.f64 1 (.f64 (cos.f64 b) 4)) (.f64 (sin.f64 b) (.f64 r 4)))
(.f64 (/.f64 -1 (.f64 2 (cos.f64 b))) (.f64 (sin.f64 b) (.f64 r -2)))
(.f64 (.f64 r (*.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 b)))) 2)
(.f64 (.f64 (sin.f64 b) (/.f64 (*.f64 r 1/2) (cos.f64 b))) 2)
(.f64 (.f64 (/.f64 r (cos.f64 b)) (*.f64 (sin.f64 b) 1/2)) 2)
(.f64 (.f64 (/.f64 r (cos.f64 b)) 1/2) (*.f64 2 (sin.f64 b)))
(.f64 (.f64 (*.f64 r (sin.f64 b)) (/.f64 1/2 (cos.f64 b))) 2)
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) 1)
(neg.f64 (*.f64 r (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b)))))
(+.f64 2 (neg.f64 (cos.f64 b)))
(+.f64 (-.f64 2 (cos.f64 b)) 0)
(+.f64 0 (-.f64 2 (cos.f64 b)))
(+.f64 1 (-.f64 1 (cos.f64 b)))
(+.f64 (neg.f64 (cos.f64 b)) 2)
(+.f64 -1 (-.f64 3 (cos.f64 b)))
(+.f64 -2 (-.f64 4 (cos.f64 b)))
(+.f64 (-.f64 3 (cos.f64 b)) -1)
(+.f64 (-.f64 1 (cos.f64 b)) 1)
(+.f64 (-.f64 4 (cos.f64 b)) -2)
(+.f64 (/.f64 (-.f64 2 (cos.f64 b)) 2) (/.f64 (-.f64 2 (cos.f64 b)) 2))
(*.f64 2 (/.f64 (-.f64 2 (cos.f64 b)) 2))
(*.f64 (-.f64 2 (cos.f64 b)) 1)
(*.f64 1 (-.f64 2 (cos.f64 b)))
(*.f64 -1 (+.f64 (cos.f64 b) -2))
(.f64 (.f64 2 (-.f64 2 (cos.f64 b))) 1/2)
(*.f64 (+.f64 (cos.f64 b) -2) -1)
(.f64 1/2 (.f64 2 (-.f64 2 (cos.f64 b))))
(*.f64 (/.f64 (-.f64 2 (cos.f64 b)) 2) 2)
(/.f64 (-.f64 2 (cos.f64 b)) 1)
(/.f64 (*.f64 2 (-.f64 2 (cos.f64 b))) 2)
(/.f64 (+.f64 (cos.f64 b) -2) -1)
(/.f64 (*.f64 (-.f64 2 (cos.f64 b)) 4) 4)
(/.f64 (*.f64 2 (+.f64 (cos.f64 b) -2)) -2)
(/.f64 (.f64 2 (.f64 (-.f64 2 (cos.f64 b)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 2 (cos.f64 b)) 4))) 16)
(pow.f64 (-.f64 2 (cos.f64 b)) 1)
(neg.f64 (+.f64 (cos.f64 b) -2))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 b 2)))
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 1 (.f64 -1/2 (pow.f64 b 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 1/24 (pow.f64 b 4))))
(+.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) (.f64 1/24 (pow.f64 b 4)))
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (*.f64 -1/720 (pow.f64 b 6)))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 (.f64 -1/2 (pow.f64 b 2)) (*.f64 -1/720 (pow.f64 b 6)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (+.f64 (.f64 -1/720 (pow.f64 b 6)) (*.f64 1/24 (pow.f64 b 4)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (+.f64 (.f64 1/24 (pow.f64 b 4)) (*.f64 -1/720 (pow.f64 b 6)))))
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 r b)
(*.f64 b r)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(+.f64 (.f64 b r) (.f64 (-.f64 (.f64 r -1/6) (.f64 -1/2 r)) (pow.f64 b 3)))
(+.f64 (.f64 b r) (.f64 (*.f64 r 1/3) (pow.f64 b 3)))
(+.f64 (.f64 b r) (.f64 r (*.f64 1/3 (pow.f64 b 3))))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(+.f64 (.f64 b r) (+.f64 (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 r -1/6) (.f64 -1/2 r)))))) (.f64 (-.f64 (.f64 r -1/6) (.f64 -1/2 r)) (pow.f64 b 3))))
(+.f64 (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 1/24 r) (.f64 -1/2 (.f64 r 1/3))))) (+.f64 (.f64 b r) (.f64 (.f64 r 1/3) (pow.f64 b 3))))
(+.f64 (.f64 b r) (+.f64 (.f64 r (.f64 1/3 (pow.f64 b 3))) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 1/24 r) (*.f64 r -1/6))))))
(+.f64 (.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3)))) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (*.f64 r -1/8))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(+.f64 (.f64 (-.f64 (.f64 r -1/6) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (+.f64 (.f64 b r) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 r -1/6) (.f64 -1/2 r))))))) (.f64 (-.f64 (.f64 r -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 r 1/120) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 r -1/6) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 r -1/6) (.f64 -1/2 r)))))) (pow.f64 b 7))))
(+.f64 (.f64 b r) (+.f64 (+.f64 (.f64 (.f64 r 1/3) (pow.f64 b 3)) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 1/24 r) (.f64 -1/2 (.f64 r 1/3)))))) (.f64 (-.f64 (.f64 r -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 r 1/120) (+.f64 (.f64 1/24 r) (.f64 -1/2 (.f64 r 1/3))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (.f64 r 1/3))))) (pow.f64 b 7))))
(+.f64 (.f64 b r) (+.f64 (.f64 (-.f64 (.f64 r -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 r 1/120) (+.f64 (.f64 1/24 r) (.f64 r -1/6)))) (+.f64 (.f64 -1/720 r) (.f64 r 1/72)))) (pow.f64 b 7)) (+.f64 (.f64 r (.f64 1/3 (pow.f64 b 3))) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 1/24 r) (*.f64 r -1/6)))))))
(+.f64 (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (.f64 r -1/8))) (+.f64 (.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3)))) (.f64 (-.f64 (.f64 r -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 r 1/120) (.f64 r -1/8))) (*.f64 r 1/80))) (pow.f64 b 7))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
1
(+.f64 1 (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (*.f64 (pow.f64 b 2) 1/2))
(+.f64 1 (+.f64 (.f64 -1/24 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 2))))
(+.f64 1 (+.f64 (.f64 (pow.f64 b 2) 1/2) (.f64 (pow.f64 b 4) -1/24)))
(+.f64 (.f64 (pow.f64 b 2) 1/2) (-.f64 (.f64 (pow.f64 b 4) -1/24) -1))
(+.f64 1 (+.f64 (.f64 -1/24 (pow.f64 b 4)) (+.f64 (.f64 1/720 (pow.f64 b 6)) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (.f64 (pow.f64 b 4) -1/24) (+.f64 (+.f64 (.f64 (pow.f64 b 2) 1/2) (*.f64 (pow.f64 b 6) 1/720)) 1))
(+.f64 (.f64 (pow.f64 b 6) 1/720) (+.f64 (.f64 (pow.f64 b 2) 1/2) (-.f64 (*.f64 (pow.f64 b 4) -1/24) -1)))
(+.f64 1 (+.f64 (.f64 (pow.f64 b 2) 1/2) (+.f64 (.f64 (pow.f64 b 4) -1/24) (*.f64 (pow.f64 b 6) 1/720))))
(+.f64 (.f64 (pow.f64 b 2) 1/2) (+.f64 (.f64 (pow.f64 b 6) 1/720) (+.f64 1 (*.f64 (pow.f64 b 4) -1/24))))
(+.f64 2 (+.f64 (cos.f64 b) -2))
(cos.f64 b)
(+.f64 (cos.f64 b) 0)
(cos.f64 b)
(+.f64 0 (cos.f64 b))
(cos.f64 b)
(+.f64 1 (+.f64 (cos.f64 b) -1))
(cos.f64 b)
(+.f64 -1 (+.f64 1 (cos.f64 b)))
(cos.f64 b)
(+.f64 (+.f64 (cos.f64 b) -2) 2)
(cos.f64 b)
(+.f64 -2 (+.f64 2 (cos.f64 b)))
(cos.f64 b)
(+.f64 (+.f64 1 (cos.f64 b)) -1)
(cos.f64 b)
(+.f64 (+.f64 2 (cos.f64 b)) -2)
(cos.f64 b)
(+.f64 (/.f64 (cos.f64 b) 2) (/.f64 (cos.f64 b) 2))
(cos.f64 b)
(+.f64 (+.f64 (cos.f64 b) -1) 1)
(cos.f64 b)
(*.f64 2 (/.f64 (cos.f64 b) 2))
(cos.f64 b)
(*.f64 (cos.f64 b) 1)
(cos.f64 b)
(*.f64 1 (cos.f64 b))
(cos.f64 b)
(.f64 (.f64 2 (cos.f64 b)) 1/2)
(cos.f64 b)
(*.f64 (neg.f64 (cos.f64 b)) -1)
(cos.f64 b)
(*.f64 -1 (neg.f64 (cos.f64 b)))
(cos.f64 b)
(.f64 (.f64 (cos.f64 b) 4) 1/4)
(cos.f64 b)
(.f64 1/2 (.f64 2 (cos.f64 b)))
(cos.f64 b)
(*.f64 (/.f64 (cos.f64 b) 2) 2)
(cos.f64 b)
(.f64 1/4 (.f64 (cos.f64 b) 4))
(cos.f64 b)
(/.f64 (cos.f64 b) 1)
(cos.f64 b)
(/.f64 (*.f64 2 (cos.f64 b)) 2)
(cos.f64 b)
(/.f64 (neg.f64 (cos.f64 b)) -1)
(cos.f64 b)
(/.f64 (*.f64 (cos.f64 b) 4) 4)
(cos.f64 b)
(/.f64 (*.f64 2 (neg.f64 (cos.f64 b))) -2)
(cos.f64 b)
(/.f64 (.f64 2 (.f64 (cos.f64 b) 4)) 8)
(cos.f64 b)
(/.f64 (.f64 2 (.f64 2 (*.f64 (cos.f64 b) 4))) 16)
(cos.f64 b)
(pow.f64 (cos.f64 b) 1)
(cos.f64 b)
(neg.f64 (neg.f64 (cos.f64 b)))
(cos.f64 b)
(cos.f64 b)
(cos.f64 (neg.f64 b))
(cos.f64 b)
(+.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) 0)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
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(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+.f64 0 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+.f64 -1 (-.f64 1 (*.f64 r (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+.f64 (/.f64 (.f64 r (sin.f64 b)) (.f64 2 (cos.f64 b))) (/.f64 (.f64 r (sin.f64 b)) (.f64 2 (cos.f64 b))))
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(+.f64 2 (neg.f64 (cos.f64 b)))
(-.f64 2 (cos.f64 b))
(/.f64 (*.f64 (-.f64 2 (cos.f64 b)) 4) 4)
(+.f64 2 (neg.f64 (cos.f64 b)))
(-.f64 2 (cos.f64 b))
(/.f64 (*.f64 2 (+.f64 (cos.f64 b) -2)) -2)
(+.f64 2 (neg.f64 (cos.f64 b)))
(-.f64 2 (cos.f64 b))
(/.f64 (.f64 2 (.f64 (-.f64 2 (cos.f64 b)) 4)) 8)
(+.f64 2 (neg.f64 (cos.f64 b)))
(-.f64 2 (cos.f64 b))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 2 (cos.f64 b)) 4))) 16)
(+.f64 2 (neg.f64 (cos.f64 b)))
(-.f64 2 (cos.f64 b))
(pow.f64 (-.f64 2 (cos.f64 b)) 1)
(+.f64 2 (neg.f64 (cos.f64 b)))
(-.f64 2 (cos.f64 b))
(neg.f64 (+.f64 (cos.f64 b) -2))
(+.f64 2 (neg.f64 (cos.f64 b)))
(-.f64 2 (cos.f64 b))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 b (/.f64 (/.f64 (neg.f64 (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))) (neg.f64 r)))
✓	0.4b	(/.f64 (neg.f64 (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (.f64 r r))))
✓	0.6b	(/.f64 (cos.f64 a) (*.f64 r r))
✓	29.9b	(/.f64 (/.f64 (neg.f64 (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (.f64 r r)))) (neg.f64 r))

Compiler

Compiled 78 to 12 computations (84.6% saved)

series6.0ms (0%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(/.f64 (neg.f64 (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (.f64 r r))))
1.0ms	a	@	-inf	(/.f64 (neg.f64 (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (.f64 r r))))
1.0ms	a	@	inf	(/.f64 (cos.f64 a) (*.f64 r r))
1.0ms	a	@	0	(/.f64 (neg.f64 (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (.f64 r r))))
0.0ms	r	@	0	(/.f64 (neg.f64 (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (.f64 r r))))

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1886×	`rational.json-simplify-35`
1840×	`rational.json-1`
990×	`exponential.json-3`
990×	`rational.json-2`
990×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	166
1	125	150
2	447	150
3	2338	66
4	7728	66

Stop Event

1×	node limit

Counts

4 → 101

Calls

Call 1

Inputs
(/.f64 (/.f64 (neg.f64 (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (.f64 r r)))) (neg.f64 r))
(/.f64 (cos.f64 a) (*.f64 r r))
(/.f64 (neg.f64 (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (.f64 r r))))
(.f64 b (/.f64 (/.f64 (neg.f64 (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))) (neg.f64 r)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 r (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 r (neg.f64 (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 r (cos.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 r (cos.f64 a)) (/.f64 0 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 r (cos.f64 a)) (/.f64 0 (neg.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 r (cos.f64 a)) (/.f64 0 (.f64 (cos.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 r (neg.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 r (cos.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 a) (/.f64 -1 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (neg.f64 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 a)) (/.f64 1 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (neg.f64 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 r (/.f64 1 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r (/.f64 r (neg.f64 (cos.f64 a)))) (/.f64 -1 r))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 r) (/.f64 -1 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 r (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 r (neg.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 r (/.f64 (cos.f64 a) r)) -2) (/.f64 1 (.f64 r -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 a) -2) (/.f64 1 (.f64 -2 (.f64 (/.f64 (cos.f64 a) r) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 a) r) (/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 a) (neg.f64 r)) (/.f64 -1 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (.f64 r r)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 r) (/.f64 r (/.f64 (cos.f64 a) r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cos.f64 a)) r)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (cos.f64 a)) (/.f64 (cos.f64 a) r))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 r) (.f64 r (/.f64 r (neg.f64 (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (neg.f64 r)))) (neg.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 r (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 r (/.f64 (cos.f64 a) r)) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 r (neg.f64 (cos.f64 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (.f64 r r)))) (/.f64 (cos.f64 a) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (cos.f64 a)) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 r -2)) (.f64 (/.f64 r (/.f64 (cos.f64 a) r)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (neg.f64 r)))) (cos.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 -2 (.f64 (/.f64 (cos.f64 a) r) (cos.f64 a)))) (*.f64 (cos.f64 a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 r (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 r (neg.f64 (cos.f64 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 a) (.f64 r r)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 a) (.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 a) (.f64 r r)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 a) (/.f64 1 (.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 a)) (/.f64 -1 (.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 a) (.f64 r r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (cos.f64 a) (.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (cos.f64 a) (neg.f64 (.f64 r r))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 a) 2) (/.f64 2 (.f64 r (.f64 r 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 a) r) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 a) (neg.f64 r)) (/.f64 -1 r))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 r) (/.f64 (cos.f64 a) r))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 r r)) (cos.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 r) (/.f64 (cos.f64 a) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 a) (neg.f64 (.f64 r r))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 r r)) (neg.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 r (.f64 r 4))) (.f64 (cos.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 a) (.f64 r r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 a) (neg.f64 (*.f64 r r))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 r (/.f64 r (neg.f64 (cos.f64 a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 r (/.f64 r (neg.f64 (cos.f64 a)))) (/.f64 0 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 r (/.f64 r (neg.f64 (cos.f64 a)))) (/.f64 0 (neg.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 r (/.f64 r (neg.f64 (cos.f64 a)))) (/.f64 0 (.f64 (cos.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 r (/.f64 r (neg.f64 (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 r (/.f64 (cos.f64 a) r))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 r (/.f64 r (neg.f64 (cos.f64 a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 r (/.f64 (cos.f64 a) r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 a) (/.f64 -1 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (.f64 r r)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 a)) (/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 r (/.f64 r (neg.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r r) (/.f64 -1 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r (/.f64 r (neg.f64 (cos.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 r (/.f64 r (neg.f64 (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 r (/.f64 (cos.f64 a) r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r (+.f64 r r)) (/.f64 1 (.f64 (cos.f64 a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 r (/.f64 (cos.f64 a) r)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 a) -2) (/.f64 1 (.f64 (/.f64 (cos.f64 a) (.f64 r r)) (.f64 (cos.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 r r) (/.f64 r (.f64 (cos.f64 a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 r) (/.f64 (fabs.f64 r) (neg.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cos.f64 a)) (neg.f64 (.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (cos.f64 a)) (neg.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 r r)) (/.f64 1 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 r (/.f64 (cos.f64 a) r)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 r (neg.f64 (cos.f64 a))) r)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (.f64 r r)))) (cos.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (cos.f64 a)) (.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 r (/.f64 (cos.f64 a) r)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fabs.f64 r) (neg.f64 (cos.f64 a))) (fabs.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (/.f64 (cos.f64 a) (.f64 r r)) (.f64 (cos.f64 a) 2))) (.f64 (cos.f64 a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (cos.f64 a) -2)) (.f64 r (+.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 r (.f64 (cos.f64 a) -2)) (+.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 r (/.f64 r (neg.f64 (cos.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 r (/.f64 (cos.f64 a) r)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (/.f64 r (cos.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 b (/.f64 r (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 b (/.f64 r (cos.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 (cos.f64 a) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (neg.f64 r))) (neg.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 (/.f64 (.f64 (/.f64 (cos.f64 a) (.f64 r r)) 2) (/.f64 1 r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 (/.f64 (neg.f64 (+.f64 r r)) (.f64 r (/.f64 r (neg.f64 (cos.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b (/.f64 r (cos.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 b b) (/.f64 r (cos.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 b b) (.f64 (/.f64 (cos.f64 a) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b (/.f64 r (cos.f64 a))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 b (/.f64 r (cos.f64 a))) 4) (.f64 (.f64 b (/.f64 r (cos.f64 a))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (/.f64 (cos.f64 a) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (/.f64 r (cos.f64 a))) 1)))))

simplify108.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1134×	`rational.json-simplify-35`
972×	`rational.json-simplify-51`
946×	`rational.json-simplify-44`
912×	`rational.json-simplify-61`
902×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	263	5125
1	613	4829
2	1622	4641
3	5806	4611

Stop Event

1×	node limit

Counts

209 → 205

Calls

Call 1

Inputs
r
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) r)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 r) (.f64 1/24 r)))) r))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 r) (.f64 1/24 r)))) (+.f64 r (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 -1/720 r) (+.f64 (.f64 1/48 r) (.f64 1/2 (+.f64 (.f64 -1/4 r) (*.f64 1/24 r))))))))))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 1 (pow.f64 r 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 r 2))) (/.f64 1 (pow.f64 r 2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 r 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 a 4) (pow.f64 r 2))) (/.f64 1 (pow.f64 r 2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 r 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 a 6) (pow.f64 r 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 a 4) (pow.f64 r 2))) (/.f64 1 (pow.f64 r 2)))))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(/.f64 (cos.f64 a) (pow.f64 r 2))
(*.f64 -1 (pow.f64 r 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (pow.f64 r 2))) (*.f64 -1 (pow.f64 r 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (pow.f64 r 2))) (+.f64 (.f64 -1 (pow.f64 r 2)) (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (pow.f64 r 2)) (.f64 -1/4 (pow.f64 r 2))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (pow.f64 r 2))) (+.f64 (.f64 -1 (pow.f64 r 2)) (+.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (pow.f64 r 2)) (.f64 -1/4 (pow.f64 r 2)))) (.f64 (+.f64 (.f64 -1/720 (pow.f64 r 2)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (pow.f64 r 2)) (.f64 -1/4 (pow.f64 r 2)))) (.f64 1/48 (pow.f64 r 2)))) (pow.f64 a 6)))))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(*.f64 -1 (/.f64 (pow.f64 r 2) (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b r)
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/48 (.f64 r b)) (+.f64 (.f64 -1/720 (.f64 b r)) (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r)))))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (*.f64 b r))))))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(+.f64 0 (/.f64 r (cos.f64 a)))
(+.f64 -1 (-.f64 1 (/.f64 r (neg.f64 (cos.f64 a)))))
(+.f64 (/.f64 r (cos.f64 a)) 0)
(+.f64 (/.f64 r (cos.f64 a)) (/.f64 0 (cos.f64 a)))
(+.f64 (/.f64 r (cos.f64 a)) (/.f64 0 (neg.f64 (cos.f64 a))))
(+.f64 (/.f64 r (cos.f64 a)) (/.f64 0 (*.f64 (cos.f64 a) 2)))
(-.f64 0 (/.f64 r (neg.f64 (cos.f64 a))))
(-.f64 (/.f64 r (cos.f64 a)) 0)
(.f64 (cos.f64 a) (/.f64 -1 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (neg.f64 r)))))
(.f64 (neg.f64 (cos.f64 a)) (/.f64 1 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (neg.f64 r)))))
(*.f64 r (/.f64 1 (cos.f64 a)))
(.f64 (.f64 r (/.f64 r (neg.f64 (cos.f64 a)))) (/.f64 -1 r))
(*.f64 (neg.f64 r) (/.f64 -1 (cos.f64 a)))
(*.f64 1 (/.f64 r (cos.f64 a)))
(*.f64 -1 (/.f64 r (neg.f64 (cos.f64 a))))
(.f64 (.f64 (/.f64 r (/.f64 (cos.f64 a) r)) -2) (/.f64 1 (*.f64 r -2)))
(.f64 (.f64 (cos.f64 a) -2) (/.f64 1 (.f64 -2 (.f64 (/.f64 (cos.f64 a) r) (cos.f64 a)))))
(*.f64 (/.f64 (cos.f64 a) r) (/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (cos.f64 a)))
(.f64 (/.f64 (cos.f64 a) (neg.f64 r)) (/.f64 -1 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))))
(*.f64 (/.f64 1 r) (/.f64 r (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 1 (cos.f64 a)) r)
(*.f64 (/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (cos.f64 a)) (/.f64 (cos.f64 a) r))
(.f64 (/.f64 -1 r) (.f64 r (/.f64 r (neg.f64 (cos.f64 a)))))
(.f64 (/.f64 1 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (neg.f64 r)))) (neg.f64 (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 a)) 1)
(*.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (/.f64 1 r))
(*.f64 (/.f64 r (neg.f64 (cos.f64 a))) -1)
(.f64 (/.f64 -1 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))) (/.f64 (cos.f64 a) (neg.f64 r)))
(*.f64 (/.f64 -1 (cos.f64 a)) (neg.f64 r))
(.f64 (/.f64 1 (.f64 r -2)) (*.f64 (/.f64 r (/.f64 (cos.f64 a) r)) -2))
(.f64 (/.f64 -1 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (neg.f64 r)))) (cos.f64 a))
(.f64 (/.f64 1 (.f64 -2 (.f64 (/.f64 (cos.f64 a) r) (cos.f64 a)))) (.f64 (cos.f64 a) -2))
(pow.f64 (/.f64 r (cos.f64 a)) 1)
(neg.f64 (/.f64 r (neg.f64 (cos.f64 a))))
(+.f64 (/.f64 (cos.f64 a) (*.f64 r r)) 0)
(+.f64 0 (/.f64 (cos.f64 a) (*.f64 r r)))
(-.f64 (/.f64 (cos.f64 a) (*.f64 r r)) 0)
(.f64 (cos.f64 a) (/.f64 1 (.f64 r r)))
(.f64 (neg.f64 (cos.f64 a)) (/.f64 -1 (.f64 r r)))
(.f64 (/.f64 (cos.f64 a) (.f64 r r)) 1)
(.f64 1 (/.f64 (cos.f64 a) (.f64 r r)))
(.f64 -1 (/.f64 (cos.f64 a) (neg.f64 (.f64 r r))))
(.f64 (.f64 (cos.f64 a) 2) (/.f64 2 (.f64 r (.f64 r 4))))
(*.f64 (/.f64 (cos.f64 a) r) (/.f64 1 r))
(*.f64 (/.f64 (cos.f64 a) (neg.f64 r)) (/.f64 -1 r))
(*.f64 (/.f64 1 r) (/.f64 (cos.f64 a) r))
(.f64 (/.f64 1 (.f64 r r)) (cos.f64 a))
(*.f64 (/.f64 -1 r) (/.f64 (cos.f64 a) (neg.f64 r)))
(.f64 (/.f64 (cos.f64 a) (neg.f64 (.f64 r r))) -1)
(.f64 (/.f64 -1 (.f64 r r)) (neg.f64 (cos.f64 a)))
(.f64 (/.f64 2 (.f64 r (.f64 r 4))) (.f64 (cos.f64 a) 2))
(pow.f64 (/.f64 (cos.f64 a) (*.f64 r r)) 1)
(neg.f64 (/.f64 (cos.f64 a) (neg.f64 (*.f64 r r))))
(+.f64 (*.f64 r (/.f64 r (neg.f64 (cos.f64 a)))) 0)
(+.f64 (*.f64 r (/.f64 r (neg.f64 (cos.f64 a)))) (/.f64 0 (cos.f64 a)))
(+.f64 (*.f64 r (/.f64 r (neg.f64 (cos.f64 a)))) (/.f64 0 (neg.f64 (cos.f64 a))))
(+.f64 (.f64 r (/.f64 r (neg.f64 (cos.f64 a)))) (/.f64 0 (.f64 (cos.f64 a) 2)))
(+.f64 0 (*.f64 r (/.f64 r (neg.f64 (cos.f64 a)))))
(+.f64 -1 (-.f64 1 (/.f64 r (/.f64 (cos.f64 a) r))))
(-.f64 (*.f64 r (/.f64 r (neg.f64 (cos.f64 a)))) 0)
(-.f64 0 (/.f64 r (/.f64 (cos.f64 a) r)))
(.f64 (cos.f64 a) (/.f64 -1 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))))
(*.f64 (neg.f64 (cos.f64 a)) (/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (cos.f64 a)))
(*.f64 r (/.f64 r (neg.f64 (cos.f64 a))))
(.f64 (.f64 r r) (/.f64 -1 (cos.f64 a)))
(.f64 (.f64 r (/.f64 r (neg.f64 (cos.f64 a)))) 1)
(.f64 1 (.f64 r (/.f64 r (neg.f64 (cos.f64 a)))))
(*.f64 -1 (/.f64 r (/.f64 (cos.f64 a) r)))
(.f64 (.f64 r (+.f64 r r)) (/.f64 1 (*.f64 (cos.f64 a) -2)))
(.f64 (.f64 (/.f64 r (/.f64 (cos.f64 a) r)) -2) 1/2)
(.f64 (.f64 (cos.f64 a) -2) (/.f64 1 (.f64 (/.f64 (cos.f64 a) (.f64 r r)) (*.f64 (cos.f64 a) 2))))
(.f64 (+.f64 r r) (/.f64 r (.f64 (cos.f64 a) -2)))
(*.f64 (fabs.f64 r) (/.f64 (fabs.f64 r) (neg.f64 (cos.f64 a))))
(.f64 (/.f64 1 (cos.f64 a)) (neg.f64 (.f64 r r)))
(*.f64 (/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (cos.f64 a)) (neg.f64 (cos.f64 a)))
(.f64 (neg.f64 (.f64 r r)) (/.f64 1 (cos.f64 a)))
(*.f64 (/.f64 r (/.f64 (cos.f64 a) r)) -1)
(*.f64 (/.f64 r (neg.f64 (cos.f64 a))) r)
(.f64 (/.f64 -1 (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))) (cos.f64 a))
(.f64 (/.f64 -1 (cos.f64 a)) (.f64 r r))
(.f64 1/2 (.f64 (/.f64 r (/.f64 (cos.f64 a) r)) -2))
(*.f64 (/.f64 (fabs.f64 r) (neg.f64 (cos.f64 a))) (fabs.f64 r))
(.f64 (/.f64 1 (.f64 (/.f64 (cos.f64 a) (.f64 r r)) (.f64 (cos.f64 a) 2))) (*.f64 (cos.f64 a) -2))
(.f64 (/.f64 1 (.f64 (cos.f64 a) -2)) (*.f64 r (+.f64 r r)))
(.f64 (/.f64 r (.f64 (cos.f64 a) -2)) (+.f64 r r))
(pow.f64 (*.f64 r (/.f64 r (neg.f64 (cos.f64 a)))) 1)
(neg.f64 (/.f64 r (/.f64 (cos.f64 a) r)))
(+.f64 (*.f64 b (/.f64 r (cos.f64 a))) 0)
(+.f64 0 (*.f64 b (/.f64 r (cos.f64 a))))
(-.f64 (*.f64 b (/.f64 r (cos.f64 a))) 0)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 b (/.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 a) (neg.f64 r))) (neg.f64 (cos.f64 a))))
(/.f64 b (/.f64 (/.f64 (.f64 (/.f64 (cos.f64 a) (.f64 r r)) 2) (/.f64 1 r)) 2))
(/.f64 b (/.f64 (/.f64 (neg.f64 (+.f64 r r)) (*.f64 r (/.f64 r (neg.f64 (cos.f64 a))))) 2))
(/.f64 (*.f64 b (/.f64 r (cos.f64 a))) 1)
(/.f64 (*.f64 (+.f64 b b) (/.f64 r (cos.f64 a))) 2)
(/.f64 (+.f64 b b) (*.f64 (/.f64 (cos.f64 a) r) 2))
(/.f64 (.f64 (.f64 b (/.f64 r (cos.f64 a))) 4) 4)
(/.f64 (+.f64 (.f64 (.f64 b (/.f64 r (cos.f64 a))) 4) (.f64 (.f64 b (/.f64 r (cos.f64 a))) 4)) 8)
(/.f64 (neg.f64 b) (/.f64 (cos.f64 a) (neg.f64 r)))
(pow.f64 (*.f64 b (/.f64 r (cos.f64 a))) 1)

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

eval633.0ms (2.4%)

Compiler: Compiled 20584 to 10308 computations (49.9% saved)

prune350.0ms (1.3%)

Pruning

87 alts after pruning (78 fresh and 9 done)

	Pruned	Kept	Total
New	1104	28	1132
Fresh	6	50	56
Picked	1	0	1
Done	1	9	10
Total	1112	87	1199

Error

10.4b

Counts

1199 → 87

Alt Table

Click to see full alt table

Status	Error	Program
	23.9b	(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 2 r)) (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	43.0b	(/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (/.f64 r b))
	22.3b	(/.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (cos.f64 b))
	29.6b	(/.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (cos.f64 a))
	22.3b	(/.f64 (/.f64 r (cos.f64 b)) (/.f64 1 (sin.f64 b)))
	32.2b	(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
	32.2b	(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
	22.2b	(/.f64 (.f64 (/.f64 r (cos.f64 b)) (.f64 (sin.f64 b) 2)) 2)
	22.2b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	29.5b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
	29.5b	(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (/.f64 1/2 (sin.f64 b)))
	33.3b	(/.f64 (*.f64 r (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b))))) (cos.f64 (+.f64 a b)))
	25.9b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (+.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (*.f64 1/6 (pow.f64 a 3))))))))
✓	13.0b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
✓	22.4b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 b))))
	29.6b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 a))))
	22.5b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (+.f64 (-.f64 4 (cos.f64 b)) -2)))
	31.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (+.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b))) (.f64 (pow.f64 b 2) (.f64 (cos.f64 a) -1/2))))
	22.3b	(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (+.f64 2 (cos.f64 b)) -2))
✓	23.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))
	23.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
	25.7b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (*.f64 1/6 (pow.f64 a 3))))))
	40.5b	(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 (+.f64 b a) (PI.f64)))))
	32.4b	(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
	41.9b	(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 b))))
	32.3b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
	42.3b	(/.f64 (.f64 b r) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
	23.5b	(/.f64 (sin.f64 b) (/.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))) r))
	25.7b	(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 b) (+.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2))) (.f64 (pow.f64 a 3) (*.f64 1/6 (sin.f64 b))))) r))
	30.5b	(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) r))
	22.2b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	29.5b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
	23.3b	(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 b) r) (*.f64 (/.f64 (sin.f64 b) r) (neg.f64 a))))
	30.5b	(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b))))
	22.2b	(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 b)))
	29.5b	(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 a)))
	22.3b	(/.f64 (neg.f64 r) (/.f64 -1 (/.f64 (sin.f64 b) (cos.f64 b))))
	22.2b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
	29.5b	(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
	32.2b	(/.f64 r (/.f64 (cos.f64 a) b))
	32.2b	(/.f64 b (/.f64 (cos.f64 a) r))
	32.3b	(/.f64 b (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
	22.5b	(/.f64 1 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))
	30.1b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))
	32.8b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
	30.1b	(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 b)) (/.f64 r (cos.f64 a))))
	22.6b	(/.f64 -1 (/.f64 (/.f64 (cos.f64 b) (neg.f64 r)) (sin.f64 b)))
	32.8b	(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
	23.5b	(-.f64 (/.f64 (sin.f64 b) (/.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) r)) 0)
	22.5b	(-.f64 (.f64 r (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b)))) (/.f64 (.f64 (sin.f64 b) (*.f64 r -2)) (cos.f64 b)))
	22.6b	(-.f64 (.f64 r (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b)))) (.f64 (sin.f64 b) (*.f64 r (/.f64 -2 (cos.f64 b)))))
	22.2b	(-.f64 (.f64 r (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b))) (.f64 (*.f64 (sin.f64 b) -2) (/.f64 r (cos.f64 b))))
	39.3b	(+.f64 (-.f64 1 (*.f64 r (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))))) -1)
	22.2b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	19.5b	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
	25.8b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 r (.f64 (sin.f64 b) (cos.f64 b)))))
	38.5b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (+.f64 (/.f64 (/.f64 r (cos.f64 a)) b) (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2)))))
	38.5b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (+.f64 (/.f64 (/.f64 r (cos.f64 a)) b) (.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) 2))))))
	36.3b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (/.f64 2 (cos.f64 a)) (/.f64 r (*.f64 2 (sin.f64 b))))))
	19.5b	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (/.f64 1 (/.f64 r (sin.f64 b))) r))
	58.4b	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 (-.f64 (PI.f64) b)))
	25.7b	(.f64 (/.f64 r (cos.f64 b)) (/.f64 (/.f64 r (cos.f64 b)) (.f64 (/.f64 2 (cos.f64 b)) (/.f64 r (*.f64 (sin.f64 b) 2)))))
	13.0b	(*.f64 (/.f64 2 (/.f64 4 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (+.f64 r r))
	33.4b	(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) (/.f64 r (cos.f64 (+.f64 b a))))
	50.6b	(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) r)
	23.4b	(.f64 (sin.f64 b) (/.f64 r (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 a)))))
✓	12.7b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
✓	22.2b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
	22.3b	(.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 b)) (/.f64 1 (/.f64 1 r))))
✓	39.1b	(*.f64 (sin.f64 b) r)
	50.0b	(*.f64 r (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) (cos.f64 a)))
✓	29.5b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
	42.2b	(.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))
	32.3b	(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
	32.2b	(*.f64 r (/.f64 b (cos.f64 a)))
	42.3b	(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
	30.5b	(.f64 r (.f64 (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b)))
	22.2b	(.f64 r (.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b)))
	12.8b	(.f64 r (.f64 (.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))) (sin.f64 b)))
	29.5b	(.f64 r (.f64 (cos.f64 a) (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (/.f64 (/.f64 1 (cos.f64 a)) (sin.f64 b))))))
✓	41.8b	(*.f64 r b)
	42.2b	(.f64 b (/.f64 (/.f64 1 r) (/.f64 (cos.f64 a) (.f64 r r))))
	41.8b	(.f64 b (/.f64 (.f64 (/.f64 -1 (cos.f64 a)) (*.f64 r r)) (neg.f64 r)))
	47.9b	(*.f64 b (/.f64 (neg.f64 (pow.f64 r 2)) (neg.f64 r)))
	41.9b	(*.f64 b (/.f64 r (cos.f64 b)))
✓	32.2b	(*.f64 b (/.f64 r (cos.f64 a)))
	39.9b	(*.f64 b (+.f64 -1 (-.f64 1 (/.f64 r (neg.f64 (cos.f64 a))))))

Compiler

Compiled 1387 to 946 computations (31.8% saved)

regimes299.0ms (1.1%)

Counts

141 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(*.f64 b (/.f64 (neg.f64 (pow.f64 r 2)) (neg.f64 r)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) r)
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 b (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 b))))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (/.f64 r b))
(*.f64 b (+.f64 -1 (-.f64 1 (/.f64 r (neg.f64 (cos.f64 a))))))
(.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (.f64 b r) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(.f64 b (/.f64 (/.f64 1 r) (/.f64 (cos.f64 a) (.f64 r r))))
(/.f64 (.f64 2 (.f64 b 4)) (*.f64 8 (/.f64 (cos.f64 a) r)))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(/.f64 (/.f64 b 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(.f64 b (/.f64 (.f64 (/.f64 -1 (cos.f64 a)) (*.f64 r r)) (neg.f64 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(.f64 r (.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))
(/.f64 1 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 a)))
(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 r (cos.f64 b)) (/.f64 1 (sin.f64 b)))
(/.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (cos.f64 a))
(/.f64 (/.f64 r (/.f64 1 (sin.f64 b))) (cos.f64 b))
(/.f64 -1 (/.f64 (/.f64 (cos.f64 b) (neg.f64 r)) (sin.f64 b)))
(/.f64 (neg.f64 r) (/.f64 -1 (/.f64 (sin.f64 b) (cos.f64 b))))
(.f64 r (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
(.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r))
(.f64 (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))) (sin.f64 b))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 b)) (/.f64 r (cos.f64 a))))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 1 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 b)))
(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 -1 (+.f64 1 (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (+.f64 2 (cos.f64 b)) -2))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 b))))
(/.f64 (*.f64 r (/.f64 1/2 (cos.f64 a))) (/.f64 1/2 (sin.f64 b)))
(/.f64 (.f64 (/.f64 r (cos.f64 b)) (.f64 (sin.f64 b) 2)) 2)
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 r))
(*.f64 r (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) (cos.f64 a)))
(+.f64 (-.f64 1 (*.f64 r (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))))) -1)
(/.f64 (neg.f64 r) (/.f64 -1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r))))
(.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 b)) (/.f64 1 (/.f64 1 r))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 r (/.f64 (sin.f64 b) r)))
(/.f64 2 (/.f64 2 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (+.f64 (-.f64 4 (cos.f64 b)) -2)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
(/.f64 (+.f64 (-.f64 (*.f64 r (sin.f64 b)) -1) -1) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 2 (/.f64 2 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (/.f64 (sin.f64 b) 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 a b))))))
(/.f64 (*.f64 r (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b))))) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 2 (/.f64 4 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (+.f64 r r))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (/.f64 1 (/.f64 r (sin.f64 b))) r))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 a b))))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 (-.f64 (PI.f64) b)))
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a (-.f64 b (PI.f64))))))
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 (+.f64 b a) (PI.f64)))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b)))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))) r))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))
(.f64 r (.f64 (/.f64 1 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b)))) (sin.f64 b)))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (sin.f64 a) r) (neg.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (/.f64 (cos.f64 b) r) (*.f64 (/.f64 (sin.f64 b) r) (neg.f64 a))))
(.f64 b (/.f64 (/.f64 (neg.f64 (cos.f64 a)) (.f64 (cos.f64 a) (/.f64 (cos.f64 a) (*.f64 r r)))) (neg.f64 r)))
(.f64 r (.f64 (/.f64 1 (sin.f64 b)) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
(-.f64 (.f64 r (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b))) (.f64 (*.f64 (sin.f64 b) -2) (/.f64 r (cos.f64 b))))
(-.f64 (.f64 r (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b)))) (.f64 (sin.f64 b) (*.f64 r (/.f64 -2 (cos.f64 b)))))
(-.f64 (.f64 r (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b)))) (/.f64 (.f64 (sin.f64 b) (*.f64 r -2)) (cos.f64 b)))
(.f64 r (.f64 (.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(.f64 (/.f64 r (cos.f64 b)) (/.f64 (/.f64 r (cos.f64 b)) (.f64 (/.f64 2 (cos.f64 b)) (/.f64 r (*.f64 (sin.f64 b) 2)))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 r (.f64 (sin.f64 b) (cos.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 (sin.f64 b) (/.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))) r)) 0)
(/.f64 (/.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) (.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) (.f64 r r))))
(.f64 (sin.f64 b) (.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 1 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r)))))
(.f64 (/.f64 r (cos.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (*.f64 2 (sin.f64 b))))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 b)) (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (*.f64 2 (sin.f64 b))))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (/.f64 2 (cos.f64 a)) (/.f64 r (*.f64 2 (sin.f64 b))))))
(/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) r)) (/.f64 1 (sin.f64 b))))
(.f64 2 (/.f64 (sin.f64 b) (/.f64 (.f64 r (/.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b))))) (/.f64 r (cos.f64 (+.f64 a b))))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (*.f64 2 (sin.f64 b))))))
(.f64 (/.f64 r (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 a b)))))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (/.f64 2 (cos.f64 (+.f64 a b))) (/.f64 r (*.f64 2 (sin.f64 b))))))
(.f64 (sin.f64 b) (+.f64 (/.f64 r (cos.f64 b)) (.f64 (*.f64 r a) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))))
(.f64 (sin.f64 b) (+.f64 (/.f64 (.f64 (sin.f64 a) (*.f64 b r)) (pow.f64 (cos.f64 a) 2)) (/.f64 r (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (+.f64 (cos.f64 b) (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2)))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (+.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b))) (.f64 (pow.f64 b 2) (.f64 (cos.f64 a) -1/2))))
(.f64 (sin.f64 b) (/.f64 r (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))) r))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (*.f64 1/6 (pow.f64 a 3))))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 2 (-.f64 2 (+.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (*.f64 1/6 (pow.f64 a 3))))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 -1 (-.f64 1 (neg.f64 (+.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (*.f64 1/6 (pow.f64 a 3)))))))))
(.f64 r (.f64 (cos.f64 a) (/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (/.f64 (/.f64 1 (cos.f64 a)) (sin.f64 b))))))
(.f64 r (.f64 (cos.f64 (+.f64 a b)) (/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) (sin.f64 b))))
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 1 r)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (+.f64 (cos.f64 b) (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2))) (.f64 (sin.f64 b) (+.f64 (*.f64 1/6 (pow.f64 a 3)) (neg.f64 a)))))
(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 2 (sin.f64 b))) (/.f64 2 r)) (.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (+.f64 (/.f64 (/.f64 r (cos.f64 a)) b) (.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) 2))))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (+.f64 (/.f64 (/.f64 r (cos.f64 a)) b) (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2)))))
(.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 b) (+.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2))) (.f64 (pow.f64 a 3) (.f64 1/6 (sin.f64 b)))))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 b) (+.f64 (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (cos.f64 b) (.f64 (pow.f64 a 2) -1/2))) (.f64 (pow.f64 a 3) (*.f64 1/6 (sin.f64 b))))) r))

Outputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))

Calls

4 calls:

67.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
66.0ms	r
63.0ms	a
62.0ms	b

Results

Error	Segments	Branch
12.7b	1	`r`
12.7b	1	`a`
12.7b	1	`b`
12.7b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 2013 to 756 computations (62.4% saved)

regimes161.0ms (0.6%)

Counts

46 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(*.f64 b (/.f64 (neg.f64 (pow.f64 r 2)) (neg.f64 r)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) r)
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 b (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 b))))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (/.f64 r b))
(*.f64 b (+.f64 -1 (-.f64 1 (/.f64 r (neg.f64 (cos.f64 a))))))
(.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (.f64 b r) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(.f64 b (/.f64 (/.f64 1 r) (/.f64 (cos.f64 a) (.f64 r r))))
(/.f64 (.f64 2 (.f64 b 4)) (*.f64 8 (/.f64 (cos.f64 a) r)))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(/.f64 (/.f64 b 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(.f64 b (/.f64 (.f64 (/.f64 -1 (cos.f64 a)) (*.f64 r r)) (neg.f64 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(.f64 r (.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))

Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))

Calls

3 calls:

109.0ms	r
21.0ms	a
21.0ms	b

Results

Error	Segments	Branch
12.7b	1	`r`
12.7b	1	`a`
12.7b	1	`b`

Compiler

Compiled 404 to 181 computations (55.2% saved)

regimes535.0ms (2%)

Counts

45 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(*.f64 b (/.f64 (neg.f64 (pow.f64 r 2)) (neg.f64 r)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) r)
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 b (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 b))))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (/.f64 r b))
(*.f64 b (+.f64 -1 (-.f64 1 (/.f64 r (neg.f64 (cos.f64 a))))))
(.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (.f64 b r) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(.f64 b (/.f64 (/.f64 1 r) (/.f64 (cos.f64 a) (.f64 r r))))
(/.f64 (.f64 2 (.f64 b 4)) (*.f64 8 (/.f64 (cos.f64 a) r)))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(/.f64 (/.f64 b 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(.f64 b (/.f64 (.f64 (/.f64 -1 (cos.f64 a)) (*.f64 r r)) (neg.f64 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(.f64 r (.f64 (/.f64 1 (cos.f64 b)) (sin.f64 b)))

Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))

Calls

3 calls:

224.0ms	b
165.0ms	a
122.0ms	r

Results

Error	Segments	Branch
20.3b	2	`r`
12.6b	3	`a`
12.7b	3	`b`

Compiler

Compiled 395 to 179 computations (54.7% saved)

bsearch433.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
378.0ms	0.0001380234496820723	0.015584267231996277
55.0ms	-214758752906.4699	-1.2793692560303216e-12

Results

383.0ms	82×	body	1024	valid
30.0ms	164×	body	256	valid
10.0ms	34×	body	512	valid
6.0ms	8×	body	2048	valid

Compiler

Compiled 414 to 301 computations (27.3% saved)

regimes352.0ms (1.3%)

Counts

43 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(*.f64 b (/.f64 (neg.f64 (pow.f64 r 2)) (neg.f64 r)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) r)
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 b (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 b))))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (/.f64 r b))
(*.f64 b (+.f64 -1 (-.f64 1 (/.f64 r (neg.f64 (cos.f64 a))))))
(.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (.f64 b r) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(.f64 b (/.f64 (/.f64 1 r) (/.f64 (cos.f64 a) (.f64 r r))))
(/.f64 (.f64 2 (.f64 b 4)) (*.f64 8 (/.f64 (cos.f64 a) r)))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(/.f64 (/.f64 b 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(.f64 b (/.f64 (.f64 (/.f64 -1 (cos.f64 a)) (*.f64 r r)) (neg.f64 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))

Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))

Calls

3 calls:

169.0ms	r
116.0ms	a
54.0ms	b

Results

Error	Segments	Branch
20.3b	2	`r`
12.6b	3	`a`
12.7b	3	`b`

Compiler

Compiled 379 to 174 computations (54.1% saved)

bsearch227.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
176.0ms	0.0001380234496820723	0.015584267231996277
50.0ms	-214758752906.4699	-1.2793692560303216e-12

Results

176.0ms	71×	body	1024	valid
29.0ms	168×	body	256	valid
12.0ms	41×	body	512	valid
6.0ms	8×	body	2048	valid

Compiler

Compiled 414 to 301 computations (27.3% saved)

regimes384.0ms (1.4%)

Counts

37 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(*.f64 b (/.f64 (neg.f64 (pow.f64 r 2)) (neg.f64 r)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) r)
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 b (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 b))))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (/.f64 r b))
(*.f64 b (+.f64 -1 (-.f64 1 (/.f64 r (neg.f64 (cos.f64 a))))))
(.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (.f64 b r) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(.f64 b (/.f64 (/.f64 1 r) (/.f64 (cos.f64 a) (.f64 r r))))
(/.f64 (.f64 2 (.f64 b 4)) (*.f64 8 (/.f64 (cos.f64 a) r)))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(/.f64 (/.f64 b 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(.f64 b (/.f64 (.f64 (/.f64 -1 (cos.f64 a)) (*.f64 r r)) (neg.f64 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)

Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))

Calls

3 calls:

281.0ms	r
47.0ms	a
47.0ms	b

Results

Error	Segments	Branch
20.3b	2	`r`
12.6b	3	`a`
12.7b	3	`b`

Compiler

Compiled 337 to 164 computations (51.3% saved)

bsearch83.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	0.0001380234496820723	0.015584267231996277
52.0ms	-214758752906.4699	-1.2793692560303216e-12

Results

34.0ms	70×	body	1024	valid
31.0ms	183×	body	256	valid
9.0ms	28×	body	512	valid
5.0ms	7×	body	2048	valid

Compiler

Compiled 414 to 301 computations (27.3% saved)

regimes160.0ms (0.6%)

Counts

35 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(*.f64 b (/.f64 (neg.f64 (pow.f64 r 2)) (neg.f64 r)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) r)
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 b (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 b))))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (/.f64 r b))
(*.f64 b (+.f64 -1 (-.f64 1 (/.f64 r (neg.f64 (cos.f64 a))))))
(.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (.f64 b r) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(.f64 b (/.f64 (/.f64 1 r) (/.f64 (cos.f64 a) (.f64 r r))))
(/.f64 (.f64 2 (.f64 b 4)) (*.f64 8 (/.f64 (cos.f64 a) r)))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(/.f64 (/.f64 b 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(.f64 b (/.f64 (.f64 (/.f64 -1 (cos.f64 a)) (*.f64 r r)) (neg.f64 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))

Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))

Calls

3 calls:

51.0ms	b
51.0ms	a
47.0ms	r

Results

Error	Segments	Branch
20.3b	2	`r`
12.6b	3	`a`
12.7b	3	`b`

Compiler

Compiled 323 to 162 computations (49.8% saved)

bsearch93.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	0.0001380234496820723	0.015584267231996277
55.0ms	-214758752906.4699	-1.2793692560303216e-12

Results

47.0ms	91×	body	1024	valid
27.0ms	152×	body	256	valid
12.0ms	41×	body	512	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 414 to 301 computations (27.3% saved)

regimes147.0ms (0.6%)

Counts

34 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(*.f64 b (/.f64 (neg.f64 (pow.f64 r 2)) (neg.f64 r)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) r)
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 b (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 b))))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (/.f64 r b))
(*.f64 b (+.f64 -1 (-.f64 1 (/.f64 r (neg.f64 (cos.f64 a))))))
(.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (.f64 b r) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(.f64 b (/.f64 (/.f64 1 r) (/.f64 (cos.f64 a) (.f64 r r))))
(/.f64 (.f64 2 (.f64 b 4)) (*.f64 8 (/.f64 (cos.f64 a) r)))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(/.f64 (/.f64 b 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(.f64 b (/.f64 (.f64 (/.f64 -1 (cos.f64 a)) (*.f64 r r)) (neg.f64 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))

Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))

Calls

3 calls:

53.0ms	b
43.0ms	a
42.0ms	r

Results

Error	Segments	Branch
20.3b	2	`r`
12.6b	3	`a`
12.7b	3	`b`

Compiler

Compiled 316 to 161 computations (49.1% saved)

bsearch90.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.0001380234496820723	0.015584267231996277
54.0ms	-214758752906.4699	-1.2793692560303216e-12

Results

41.0ms	77×	body	1024	valid
26.0ms	161×	body	256	valid
14.0ms	44×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 414 to 301 computations (27.3% saved)

regimes343.0ms (1.3%)

Counts

33 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(*.f64 b (/.f64 (neg.f64 (pow.f64 r 2)) (neg.f64 r)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) r)
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 b (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 b))))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (/.f64 r b))
(*.f64 b (+.f64 -1 (-.f64 1 (/.f64 r (neg.f64 (cos.f64 a))))))
(.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (.f64 b r) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(.f64 b (/.f64 (/.f64 1 r) (/.f64 (cos.f64 a) (.f64 r r))))
(/.f64 (.f64 2 (.f64 b 4)) (*.f64 8 (/.f64 (cos.f64 a) r)))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(/.f64 (/.f64 b 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(.f64 b (/.f64 (.f64 (/.f64 -1 (cos.f64 a)) (*.f64 r r)) (neg.f64 r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))

Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))

Calls

3 calls:

149.0ms	r
24.0ms	a
14.0ms	b

Results

Error	Segments	Branch
29.5b	1	`r`
29.5b	1	`a`
29.5b	1	`b`

Compiler

Compiled 309 to 159 computations (48.5% saved)

regimes349.0ms (1.3%)

Counts

32 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 (+.f64 b a))))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 b (cos.f64 a)) (/.f64 1 r))
(*.f64 b (/.f64 (neg.f64 (pow.f64 r 2)) (neg.f64 r)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 b)))) r)
(/.f64 -1 (/.f64 (/.f64 (cos.f64 a) (neg.f64 r)) b))
(/.f64 2 (*.f64 (/.f64 (cos.f64 a) r) (/.f64 2 b)))
(/.f64 b (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 b))))
(/.f64 (/.f64 2 (/.f64 2 b)) (/.f64 (cos.f64 a) r))
(/.f64 (/.f64 r (/.f64 (cos.f64 a) r)) (/.f64 r b))
(*.f64 b (+.f64 -1 (-.f64 1 (/.f64 r (neg.f64 (cos.f64 a))))))
(.f64 r (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))
(/.f64 (.f64 b r) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
(.f64 b (.f64 (/.f64 1 (cos.f64 a)) (/.f64 1 (/.f64 1 r))))
(.f64 b (/.f64 (/.f64 1 r) (/.f64 (cos.f64 a) (.f64 r r))))
(/.f64 (.f64 2 (.f64 b 4)) (*.f64 8 (/.f64 (cos.f64 a) r)))
(/.f64 (*.f64 r b) (-.f64 2 (-.f64 2 (cos.f64 (+.f64 a b)))))
(/.f64 (/.f64 1 (cos.f64 a)) (*.f64 (/.f64 1 r) (/.f64 1 b)))
(/.f64 (/.f64 b 1/2) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 2 r)))
(.f64 b (/.f64 (.f64 (/.f64 -1 (cos.f64 a)) (*.f64 r r)) (neg.f64 r)))

Outputs
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) r)

Calls

3 calls:

190.0ms	b
93.0ms	a
58.0ms	r

Results

Error	Segments	Branch
32.2b	1	`r`
30.5b	3	`a`
29.6b	3	`b`

Compiler

Compiled 302 to 157 computations (48% saved)

bsearch84.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	1.5810184080718484e-6	7.170587166750324
40.0ms	-6.366760859062258e+50	-1.3719107501842643e+44

Results

33.0ms	68×	body	1024	valid
31.0ms	184×	body	256	valid
9.0ms	30×	body	512	valid
6.0ms	6×	body	2048	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 342 to 247 computations (27.8% saved)

regimes11.0ms (0%)

Accuracy

Total -3.0b remaining (-7.6%)

Threshold costs -3.0b (-7.6%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(*.f64 (sin.f64 b) r)

Outputs
(*.f64 (sin.f64 b) r)

Calls

3 calls:

4.0ms	a
3.0ms	b
3.0ms	r

Results

Error	Segments	Branch
39.1b	1	`r`
39.1b	1	`a`
39.1b	1	`b`

Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	555

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(if (<=.f64 a -6456360425798343/9223372036854775808) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 7148113328562451/4611686018427387904) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -6788401819125115/73786976294838206464) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 6456360425798343/36893488147419103232) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -534955578137577/4611686018427387904) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 1152921504606847/4611686018427387904) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(if (<=.f64 a -6640827866535439/9223372036854775808) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 5764607523034235/1152921504606846976) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(if (<=.f64 a -6456360425798343/36893488147419103232) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 5072854620270127/9223372036854775808) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(if (<=.f64 b -230000000000000004443498729351904554905501696) (.f64 (sin.f64 b) r) (if (<=.f64 b 2589569785738035/2251799813685248) (.f64 b (/.f64 r (cos.f64 a))) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(*.f64 r b)

Outputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(if (<=.f64 a -6456360425798343/9223372036854775808) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 7148113328562451/4611686018427387904) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -6788401819125115/73786976294838206464) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 6456360425798343/36893488147419103232) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))
(if (<=.f64 a -534955578137577/4611686018427387904) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 1152921504606847/4611686018427387904) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(if (<=.f64 a -6640827866535439/9223372036854775808) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 5764607523034235/1152921504606846976) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(if (<=.f64 a -6456360425798343/36893488147419103232) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 5072854620270127/9223372036854775808) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(if (<=.f64 b -230000000000000004443498729351904554905501696) (.f64 (sin.f64 b) r) (if (<=.f64 b 2589569785738035/2251799813685248) (.f64 b (/.f64 r (cos.f64 a))) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(*.f64 r b)

Compiler

Compiled 232 to 134 computations (42.2% saved)

soundness491.0ms (1.8%)

Algorithm

3×	egg-herbie

Rules

1802×	`rational.json-simplify-35`
1802×	`rational.json-simplify-35`
1802×	`rational.json-simplify-35`
1410×	`rational.json-simplify-52`
1410×	`rational.json-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	24	27
2	44	27
3	75	27
4	143	27
5	279	27
6	646	27
7	1647	27
8	3113	27
9	4607	27
10	5303	27
11	5809	27
12	6479	27
13	7192	27
0	11	27
1	24	27
2	44	27
3	75	27
4	143	27
5	279	27
6	646	27
7	1647	27
8	3113	27
9	4607	27
10	5303	27
11	5809	27
12	6479	27
13	7192	27
0	11	27
1	24	27
2	44	27
3	75	27
4	143	27
5	279	27
6	646	27
7	1647	27
8	3113	27
9	4607	27
10	5303	27
11	5809	27
12	6479	27
13	7192	27

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 117 to 48 computations (59% saved)

end67.0ms (0.3%)

Compiler: Compiled 202 to 62 computations (69.3% saved)