Details

analyze1.5s (14.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
6.2%	93.6%	0.1%	7
9.4%	90.5%	0.1%	8
14%	85.8%	0.1%	9
16.4%	83.5%	0.1%	10
19.1%	80.7%	0.1%	11
20.5%	79.4%	0.1%	12
21.2%	78.7%	0.1%	13
22.7%	77.2%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample4.1s (40.7%)

Results

2.5s	3561×	body	1024	valid
599.0ms	1376×	body	512	valid
453.0ms	2480×	body	128	valid
291.0ms	204×	body	2048	valid
194.0ms	635×	body	256	valid
1.0ms	2×	body	1024	invalid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess27.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

12×	`*-commutative_binary64`
8×	`associate-/l*_binary64`
8×	`associate-/r/_binary64`
3×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	56
1	39	56
2	53	56
3	65	56
4	69	56
0	3	3

Stop Event

1×	saturated
1×	saturated

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	13	14
2	17	14
3	20	14
4	21	14

Stop Event

1×

saturated

Counts

1 → 2

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

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

13.5b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	13.5b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
	13.5b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Compiler

Compiled 69 to 44 computations (36.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
✓	0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
✓	3.2b	(cos.f64 (+.f64 b a))

series29.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
10.0ms	a	@	inf	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
2.0ms	a	@	-inf	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
2.0ms	r	@	0	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
1.0ms	a	@	0	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
1.0ms	b	@	0	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`prod-diff_binary64`
214×	`fma-def_binary64`
196×	`expm1-udef_binary64`
196×	`log1p-udef_binary64`
119×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	200	31
2	2872	31

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 b a)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 b a)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 b a)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1))) (fma.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) 1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1))) (fma.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) 1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1))) (fma.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) 1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1))) (fma.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) 1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1))) (fma.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) 1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) 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Outputs

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

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

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

693×	`fma-def_binary64`
621×	`associate-l_binary64`
442×	`associate-/r*_binary64`
196×	`associate-/r/_binary64`
178×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	1694
1	471	1692
2	1709	1630

Stop Event

1×	node limit

Counts

204 → 168

Calls

Call 1

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

Outputs
(cos.f64 a)
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))
(fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))
(-.f64 (cos.f64 a) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
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(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 b (.f64 b r))) (pow.f64 (cos.f64 a) 2)) (+.f64 (+.f64 (fma.f64 1/3 (.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) r) (.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (.f64 (pow.f64 b 3) r))) (fma.f64 2/3 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2)) (.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (.f64 (pow.f64 b 4) r)))) (*.f64 (/.f64 b (cos.f64 a)) r)))
(fma.f64 (/.f64 b (cos.f64 a)) r (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 (.f64 b b) r) (fma.f64 2/3 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (cos.f64 a) 4)) (.f64 (pow.f64 b 4) r) (.f64 (*.f64 (/.f64 (pow.f64 b 3) (cos.f64 a)) r) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) 1/3))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a r))))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 a r)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) (.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)))))
(fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (.f64 (.f64 a a) r))) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 a r))) (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (.f64 (*.f64 a a) r))))))
(+.f64 (+.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 a (.f64 a r))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 a r)))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (.f64 a (*.f64 a r))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (.f64 a a) r)) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 a r) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (.f64 (*.f64 a a) r)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (.f64 5/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) (.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 b) 4) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4)))))))
(fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (.f64 (.f64 a a) r))) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (fma.f64 5/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) (.f64 (.f64 a a) r))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 a r))) (/.f64 (.f64 (*.f64 (pow.f64 a 3) (pow.f64 (sin.f64 b) 4)) r) (pow.f64 (cos.f64 b) 4)))))))
(+.f64 (+.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 a (.f64 a r))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) (fma.f64 5/6 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 a 3) r)) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (.f64 a (.f64 a r))))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 a r))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (*.f64 (pow.f64 a 3) r))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (.f64 a a) r)) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (fma.f64 5/6 (.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (pow.f64 a 3)) r) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (.f64 (pow.f64 a 3) r) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 a r) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (.f64 (.f64 a a) r)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))

prune223.0ms (2.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	156	12	168
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	158	12	170

Error

0.1b

Counts

170 → 12

Alt Table

Status	Error	Program
	13.7b	(*.f64 r (/.f64 (sin.f64 b) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a)))))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
	30.6b	(+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)))
	13.6b	(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
	0.9b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))))))
	13.6b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) (fma.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))))))
	13.6b	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
▶	0.3b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
	39.4b	(.f64 r (.f64 (/.f64 (sqrt.f64 (sin.f64 b)) 1) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a)))))
	33.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b)))))))
	13.5b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))

Compiler

Compiled 4885 to 1622 computations (66.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series29.0ms (0.3%)

Counts

4 → 100

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	b	@	inf	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
3.0ms	b	@	inf	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
2.0ms	r	@	0	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
2.0ms	a	@	inf	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
1.0ms	b	@	-inf	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))

rewrite177.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`prod-diff_binary64`
357×	`egg-rr`
145×	`add-sqr-sqrt_binary64`
142×	`*-un-lft-identity_binary64`
142×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	75
1	275	39
2	3742	39

Stop Event

1×	node limit

Counts

4 → 441

Calls

Call 1

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

Outputs
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(.f64 -1 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 -1 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 -1 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (cos.f64 b)) (.f64 (sqrt.f64 (cos.f64 b)) (cos.f64 a)) (neg.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 -1 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 -1 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 -1 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 -1 (sqrt.f64 (.f64 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(neg.f64 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 -1 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 -1 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (neg.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 -1 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 -1 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 -1 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (neg.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 -1 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 -1 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 -1 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (cos.f64 b) (cos.f64 a)) 0) (.f64 (sin.f64 b) (sin.f64 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 (cbrt.f64 (cos.f64 (+.f64 b a))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (cbrt.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sqrt.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) (+.f64 (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 2) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 2)) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (+.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (+.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a))))))))

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

840×	`fma-def_binary64`
438×	`associate-/r*_binary64`
236×	`cancel-sign-sub-inv_binary64`
196×	`associate-/r/_binary64`
178×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	2682
1	578	2672
2	2048	2586

Stop Event

1×	node limit

Counts

541 → 509

Calls

Call 1

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

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

prune776.0ms (7.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	502	7	509
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	507	14	521

Error

0.0b

Counts

521 → 14

Alt Table

Status	Error	Program
	13.7b	(*.f64 r (/.f64 (sin.f64 b) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a)))))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
	39.4b	(.f64 r (.f64 (/.f64 (sqrt.f64 (sin.f64 b)) 1) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a)))))
	0.4b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) r))
	30.6b	(+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)))
	13.6b	(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
	13.6b	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	0.6b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2))))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) (fma.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))))))
	0.4b	(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a)))))))
	0.7b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (.f64 (cbrt.f64 (cos.f64 b)) (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2))))))
	16.3b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))
	34.1b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b))) (sqrt.f64 (sin.f64 a)) (.f64 (*.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a)))))))
▶	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))

Compiler

Compiled 20050 to 4998 computations (75.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
✓	0.1b	(*.f64 (sin.f64 b) r)
	0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
✓	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))

series11.0ms (0.1%)

Counts

3 → 36

Calls

21 calls:

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

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`
160×	`add-sqr-sqrt_binary64`
158×	`*-un-lft-identity_binary64`
158×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	297	26
2	4429	26

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

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

Outputs

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

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simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

833×	`times-frac_binary64`
666×	`associate-/l*_binary64`
529×	`fma-def_binary64`
310×	`associate-/r*_binary64`
154×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1093
1	420	1083
2	1463	1035

Stop Event

1×	node limit

Counts

149 → 154

Calls

Call 1

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

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

prune358.0ms (3.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	191	7	198
Fresh	6	7	13
Picked	1	0	1
Done	0	0	0
Total	198	14	212

Error

Counts

212 → 14

Alt Table

Status	Error	Program
	0.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
	32.2b	(/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) r) 3)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
	1.3b	(/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 3) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
	16.3b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))
	0.4b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) r))
	13.6b	(/.f64 (*.f64 (sin.f64 b) r) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) (fma.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))))))
	0.6b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2))))))
	0.4b	(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a)))))))
▶	0.3b	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
	28.3b	(/.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) 2) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
	34.1b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b))) (sqrt.f64 (sin.f64 a)) (.f64 (*.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a)))))))
	12.2b	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3))) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 2) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))
	13.6b	(/.f64 (.f64 (sin.f64 b) r) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (-.f64 b a)))))

Compiler

Compiled 5354 to 1755 computations (67.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
	0.1b	(*.f64 (sin.f64 b) r)
✓	0.2b	(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
✓	0.3b	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))

series12.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

333×	`prod-diff_binary64`
233×	`expm1-udef_binary64`
233×	`log1p-udef_binary64`
141×	`egg-rr`
139×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	267	48
2	3559	48

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

Inputs

(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 1 (/.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (*.f64 r (/.f64 1 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 (sin.f64 b) (/.f64 1 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) r) (/.f64 1 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (/.f64 1 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) 2) (cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (/.f64 1 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 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simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

833×	`times-frac_binary64`
667×	`associate-/l*_binary64`
655×	`fma-def_binary64`
174×	`cancel-sign-sub-inv_binary64`
148×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	2011
1	475	2009
2	1575	1943

Stop Event

1×	node limit

Counts

286 → 255

Calls

Call 1

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

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

prune470.0ms (4.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	277	1	278
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	279	13	292

Error

Counts

292 → 13

Alt Table

Status	Error	Program
	0.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
	32.2b	(/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) r) 3)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
	34.1b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b))) (sqrt.f64 (sin.f64 a)) (.f64 (*.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a)))))))
	0.6b	(/.f64 (.f64 (sin.f64 b) r) (+.f64 (fma.f64 (.f64 (cos.f64 a) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (cbrt.f64 (cos.f64 b)) (neg.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
	0.4b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) r))
	13.6b	(/.f64 (*.f64 (sin.f64 b) r) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
	0.4b	(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a)))))))
✓	0.3b	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
	28.3b	(/.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) 2) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
	16.3b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))
	12.2b	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3))) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 2) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))
	0.6b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2))))))
	13.6b	(/.f64 (.f64 (sin.f64 b) r) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (-.f64 b a)))))

Compiler

Compiled 9661 to 2452 computations (74.6% saved)

regimes1.6s (16.3%)

Accuracy

Total 0.2b remaining (76.9%)

Threshold costs 0.2b (76.9%)

Counts

386 → 1

Compiler

Compiled 10346 to 2481 computations (76% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	23	26
2	32	26
3	37	26
4	39	26

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))

Outputs

(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))

(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))

end241.0ms (2.4%)

Stop Event

1×

fuel

Compiler

Compiled 501 to 252 computations (49.7% saved)

Details

analyze1.5s (14.7%)

sample4.1s (40.7%)

preprocess27.0ms (0.3%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series29.0ms (0.3%)

rewrite75.0ms (0.7%)

simplify41.0ms (0.4%)

prune223.0ms (2.2%)

localize13.0ms (0.1%)

series29.0ms (0.3%)

rewrite177.0ms (1.8%)

simplify76.0ms (0.8%)

prune776.0ms (7.7%)

localize13.0ms (0.1%)

series11.0ms (0.1%)

rewrite66.0ms (0.7%)

simplify33.0ms (0.3%)

prune358.0ms (3.5%)

localize13.0ms (0.1%)

series12.0ms (0.1%)

rewrite93.0ms (0.9%)

simplify54.0ms (0.5%)

prune470.0ms (4.7%)

regimes1.6s (16.3%)

simplify2.0ms (0%)

end241.0ms (2.4%)

Profiling