Details

analyze1.6s (17.8%)

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)

sample3.7s (42.6%)

Results

2.2s	3585×	body	1024	valid
692.0ms	1466×	body	512	valid
401.0ms	2419×	body	128	valid
261.0ms	599×	body	256	valid
172.0ms	187×	body	2048	valid
1.0ms	1×	body	1024	invalid
0.0ms	1×	body	256	invalid

preprocess16.0ms (0.2%)

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

16.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	16.1b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
▶	16.1b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))

Compiler

Compiled 69 to 44 computations (36.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
✓	0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
✓	3.7b	(cos.f64 (+.f64 b a))

series22.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

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

rewrite61.0ms (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 expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(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 -.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 expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))))) (#(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))))))

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

904×	`fma-def_binary64`
521×	`times-frac_binary64`
177×	`distribute-rgt-neg-in_binary64`
155×	`cancel-sign-sub-inv_binary64`
138×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	1827
1	585	1745
2	2109	1661

Stop Event

1×	node limit

Counts

204 → 174

Calls

Call 1

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

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

prune519.0ms (5.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	160	14	174
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	161	15	176

Error

0.1b

Counts

176 → 15

Alt Table

Status	Error	Program
	34.1b	(.f64 r (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 a (-.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 (-.f64 (/.f64 -1/2 (/.f64 (cos.f64 b) (sin.f64 b))) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) a)))))
	16.4b	(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (cos.f64 (+.f64 b a))))
	16.2b	(*.f64 r (/.f64 (sin.f64 b) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a)))))))
	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 (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)))))))))
	16.7b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 3)
	16.1b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	16.1b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
▶	0.3b	(.f64 r (/.f64 (sin.f64 b) (+.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)))))
	24.0b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.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) (sin.f64 a))) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
	16.1b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
	0.5b	(.f64 r (/.f64 (sin.f64 b) (+.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)))))))))
	31.9b	(.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 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)))))))
	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))))))))
	0.5b	(.f64 r (/.f64 (sin.f64 b) (+.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))))))
	16.5b	(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))

Compiler

Compiled 5560 to 1878 computations (66.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1)))
✓	0.2b	(.f64 r (/.f64 (sin.f64 b) (+.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)))))
✓	0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
✓	0.2b	(/.f64 (sin.f64 b) (+.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))))

series51.0ms (0.6%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
24.0ms	a	@	-inf	(.f64 r (/.f64 (sin.f64 b) (+.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)))))
6.0ms	r	@	0	(.f64 r (/.f64 (sin.f64 b) (+.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)))))
2.0ms	b	@	inf	(/.f64 (sin.f64 b) (+.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))))
2.0ms	a	@	inf	(/.f64 (sin.f64 b) (+.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))))
2.0ms	b	@	-inf	(/.f64 (sin.f64 b) (+.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))))

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

295×	`log1p-udef_binary64`
180×	`add-sqr-sqrt_binary64`
176×	`*-un-lft-identity_binary64`
176×	`pow1_binary64`
165×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	119
1	391	65
2	4813	65

Stop Event

1×	node limit

Counts

4 → 115

Calls

Call 1

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

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

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

497×	`times-frac_binary64`
307×	`distribute-rgt-in_binary64`
293×	`distribute-lft-in_binary64`
188×	`fma-def_binary64`
176×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	2867
1	659	2785
2	2364	2705

Stop Event

1×	node limit

Counts

223 → 181

Calls

Call 1

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

prune899.0ms (10.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	268	5	273
Fresh	5	9	14
Picked	0	1	1
Done	0	0	0
Total	273	15	288

Error

0.1b

Counts

288 → 15

Alt Table

Status	Error	Program
✓	0.3b	(.f64 r (/.f64 (sin.f64 b) (+.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)))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (log.f64 (pow.f64 (exp.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)))))
	0.5b	(.f64 r (/.f64 (sin.f64 b) (+.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 (log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a))) 1)))))
▶	0.4b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (sin.f64 a) 3)))) 1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1)))))
	31.9b	(.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 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)))))))
	16.7b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 3)
	16.1b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	16.4b	(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.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 (.f64 (sin.f64 b) (sin.f64 a)) 1))) (fma.f64 (neg.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a)))) 1 (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1)))))
	16.2b	(*.f64 r (/.f64 (sin.f64 b) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a)))))))
	16.1b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
	0.5b	(.f64 r (/.f64 (sin.f64 b) (+.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)))))))))
	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))))))))
	16.5b	(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))

Compiler

Compiled 10749 to 4381 computations (59.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series14.0ms (0.2%)

Counts

4 → 28

Calls

27 calls:

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

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`
156×	`add-sqr-sqrt_binary64`
154×	`*-un-lft-identity_binary64`
154×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	293	34
2	4289	34

Stop Event

1×	node limit

Counts

4 → 131

Calls

Call 1

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

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x .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 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))))) (#(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 pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 (sin.f64 b) r)) -1)))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 b) (sin.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 a b)) 2) (/.f64 (cos.f64 (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 a) (cos.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 (sin.f64 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 (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 (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 (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) 1 (.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 b a)) (fma.f64 (neg.f64 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(cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 2) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) 2) (.f64 2 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 2) (-.f64 (.f64 (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))) (.f64 (.f64 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(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (.f64 (sin.f64 b) (sin.f64 a))))) (-.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 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 fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (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 fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (cbrt.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 fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) 2) (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sqrt.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 fma.f64 (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (+.f64 b a))))) (#(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 -.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 expm1.f64 (log1p.f64 (.f64 (sin.f64 b) r)))))) (#(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))))))

simplify35.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

356×	`times-frac_binary64`
311×	`associate-/l*_binary64`
256×	`associate-*l/_binary64`
228×	`associate-*r/_binary64`
178×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	967
1	499	917
2	1725	872

Stop Event

1×	node limit

Counts

159 → 185

Calls

Call 1

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

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

prune427.0ms (4.9%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	178	7	185
Fresh	5	8	13
Picked	1	0	1
Done	0	1	1
Total	184	16	200

Error

0.0b

Counts

200 → 16

Alt Table

Status	Error	Program
✓	0.3b	(.f64 r (/.f64 (sin.f64 b) (+.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)))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (log.f64 (pow.f64 (exp.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)))))
	0.5b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) 1)))
	16.2b	(*.f64 r (/.f64 (sin.f64 b) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a)))))))
	16.7b	(.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))))
	25.8b	(/.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) 2) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
▶	0.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (sin.f64 a) 3)))) 1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1)))))
	31.9b	(.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 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)))))))
	16.7b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 3)
	16.1b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	0.4b	(/.f64 (.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 2) (.f64 (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))
	16.4b	(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (cos.f64 (+.f64 b a))))
	0.4b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))))
	0.4b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (log.f64 (pow.f64 (exp.f64 (sin.f64 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))))))))
	16.1b	(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r)))

Compiler

Compiled 5063 to 1748 computations (65.5% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (sin.f64 b) 3)
✓	0.4b	(pow.f64 (sin.f64 a) 3)
✓	8.3b	(fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (sin.f64 a) 3)))) 1 (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1))
✓	22.8b	(cbrt.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (sin.f64 a) 3)))

series9.0ms (0.1%)

Counts

4 → 56

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(pow.f64 (sin.f64 a) 3)
1.0ms	b	@	-inf	(pow.f64 (sin.f64 b) 3)
1.0ms	a	@	-inf	(pow.f64 (sin.f64 a) 3)
1.0ms	b	@	inf	(pow.f64 (sin.f64 b) 3)
1.0ms	a	@	0	(fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (sin.f64 a) 3)))) 1 (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1))

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log-prod_binary64`
212×	`fma-def_binary64`
199×	`expm1-udef_binary64`
199×	`log1p-udef_binary64`
172×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	323	38
2	3238	36

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (sin.f64 a) 3)))
(fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (sin.f64 a) 3)))) 1 (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1))
(pow.f64 (sin.f64 a) 3)
(pow.f64 (sin.f64 b) 3)

Outputs
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exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 a) 3))) (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 a) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 a) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 a) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 a) (pow.f64 (sin.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 a) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (sin.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 a) 2) (sin.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (cbrt.f64 (sin.f64 a)) (pow.f64 (sin.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 a)) (.f64 (sqrt.f64 (sin.f64 a)) (pow.f64 (sin.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 a) 3/2) (pow.f64 (sin.f64 a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 a)) 2) 3) (sin.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (sin.f64 a)) 3) (pow.f64 (sqrt.f64 (sin.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sin.f64 a) 2) 1) (sin.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)) (cbrt.f64 (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sin.f64 a) 2) (sqrt.f64 (sin.f64 a))) (sqrt.f64 (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 a) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 a) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 3 (log.f64 (sin.f64 a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 b) 3))) (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 b) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 b) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 b) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 b) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 b) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 b) (pow.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 b) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (sin.f64 b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 b) 2) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (.f64 (cbrt.f64 (sin.f64 b)) (pow.f64 (sin.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 b)) (.f64 (sqrt.f64 (sin.f64 b)) (pow.f64 (sin.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 b) 3/2) (pow.f64 (sin.f64 b) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) 3) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (sin.f64 b)) 3) (pow.f64 (sqrt.f64 (sin.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sin.f64 b) 2) 1) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)) (cbrt.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sin.f64 b) 2) (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 b) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 b) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 3 (log.f64 (sin.f64 b))) 1))))))

simplify35.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

454×	`associate-+l+_binary64`
356×	`associate-+r+_binary64`
348×	`associate-l_binary64`
313×	`distribute-lft-out_binary64`
312×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	662
1	333	534
2	1123	442
3	3745	426

Stop Event

1×	node limit

Counts

198 → 181

Calls

Call 1

Inputs
(*.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 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(+.f64 (.f64 -1/5040 (.f64 (sin.f64 a) (pow.f64 b 7))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(*.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 (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 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 b) (pow.f64 a 7))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a))))
(*.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 a) (.f64 -1 (sin.f64 a))) b)
(+.f64 (.f64 (+.f64 (sin.f64 a) (.f64 -1 (sin.f64 a))) b) (.f64 (+.f64 (.f64 1/6 (sin.f64 a)) (*.f64 -1/6 (sin.f64 a))) (pow.f64 b 3)))
(+.f64 (.f64 (+.f64 (sin.f64 a) (.f64 -1 (sin.f64 a))) b) (+.f64 (.f64 (pow.f64 b 5) (+.f64 (.f64 1/120 (sin.f64 a)) (.f64 -1/120 (sin.f64 a)))) (.f64 (+.f64 (.f64 1/6 (sin.f64 a)) (.f64 -1/6 (sin.f64 a))) (pow.f64 b 3))))
(+.f64 (.f64 (+.f64 (sin.f64 a) (.f64 -1 (sin.f64 a))) b) (+.f64 (.f64 (pow.f64 b 5) (+.f64 (.f64 1/120 (sin.f64 a)) (.f64 -1/120 (sin.f64 a)))) (+.f64 (.f64 (+.f64 (.f64 1/6 (sin.f64 a)) (.f64 -1/6 (sin.f64 a))) (pow.f64 b 3)) (.f64 (+.f64 (.f64 1/5040 (sin.f64 a)) (*.f64 -1/5040 (sin.f64 a))) (pow.f64 b 7)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 a (+.f64 (.f64 -1 (sin.f64 b)) (sin.f64 b)))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/6 (sin.f64 b)) (.f64 1/6 (sin.f64 b)))) (.f64 a (+.f64 (*.f64 -1 (sin.f64 b)) (sin.f64 b))))
(+.f64 (.f64 (pow.f64 a 5) (+.f64 (.f64 1/120 (sin.f64 b)) (.f64 -1/120 (sin.f64 b)))) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/6 (sin.f64 b)) (.f64 1/6 (sin.f64 b)))) (.f64 a (+.f64 (.f64 -1 (sin.f64 b)) (sin.f64 b)))))
(+.f64 (.f64 (pow.f64 a 7) (+.f64 (.f64 -1/5040 (sin.f64 b)) (.f64 1/5040 (sin.f64 b)))) (+.f64 (.f64 (pow.f64 a 5) (+.f64 (.f64 1/120 (sin.f64 b)) (.f64 -1/120 (sin.f64 b)))) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/6 (sin.f64 b)) (.f64 1/6 (sin.f64 b)))) (.f64 a (+.f64 (*.f64 -1 (sin.f64 b)) (sin.f64 b))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(pow.f64 a 3)
(+.f64 (pow.f64 a 3) (*.f64 -1/2 (pow.f64 a 5)))
(+.f64 (.f64 13/120 (pow.f64 a 7)) (+.f64 (pow.f64 a 3) (.f64 -1/2 (pow.f64 a 5))))
(+.f64 (.f64 13/120 (pow.f64 a 7)) (+.f64 (pow.f64 a 3) (+.f64 (.f64 -1/2 (pow.f64 a 5)) (*.f64 -41/3024 (pow.f64 a 9)))))
(pow.f64 b 3)
(+.f64 (*.f64 -1/2 (pow.f64 b 5)) (pow.f64 b 3))
(+.f64 (.f64 -1/2 (pow.f64 b 5)) (+.f64 (pow.f64 b 3) (.f64 13/120 (pow.f64 b 7))))
(+.f64 (.f64 -41/3024 (pow.f64 b 9)) (+.f64 (.f64 -1/2 (pow.f64 b 5)) (+.f64 (pow.f64 b 3) (*.f64 13/120 (pow.f64 b 7)))))

Outputs
(*.f64 (sin.f64 a) b)
(+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 (sin.f64 a) b))
(fma.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (.f64 (sin.f64 a) b))
(.f64 (sin.f64 a) (+.f64 b (.f64 -1/6 (pow.f64 b 3))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(fma.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 (sin.f64 a) b (.f64 (*.f64 (sin.f64 a) 1/120) (pow.f64 b 5))))
(fma.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 (sin.f64 a) b (.f64 (sin.f64 a) (*.f64 1/120 (pow.f64 b 5)))))
(fma.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (.f64 (sin.f64 a) (+.f64 b (*.f64 1/120 (pow.f64 b 5)))))
(.f64 (sin.f64 a) (+.f64 (+.f64 b (.f64 -1/6 (pow.f64 b 3))) (*.f64 1/120 (pow.f64 b 5))))
(+.f64 (.f64 -1/5040 (.f64 (sin.f64 a) (pow.f64 b 7))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(fma.f64 -1/5040 (.f64 (sin.f64 a) (pow.f64 b 7)) (fma.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 (sin.f64 a) b (.f64 (.f64 (sin.f64 a) 1/120) (pow.f64 b 5)))))
(fma.f64 -1/5040 (.f64 (sin.f64 a) (pow.f64 b 7)) (fma.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 (sin.f64 a) b (.f64 (sin.f64 a) (.f64 1/120 (pow.f64 b 5))))))
(+.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 a) (+.f64 (+.f64 b (.f64 1/120 (pow.f64 b 5))) (+.f64 (.f64 -1/6 (pow.f64 b 3)) (.f64 -1/5040 (pow.f64 b 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 (sin.f64 b) a)
(*.f64 a (sin.f64 b))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 (sin.f64 b) a))
(fma.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (.f64 a (sin.f64 b)))
(fma.f64 a (sin.f64 b) (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))))
(.f64 (sin.f64 b) (+.f64 a (.f64 -1/6 (pow.f64 a 3))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a)))
(fma.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5)) (*.f64 a (sin.f64 b))))
(fma.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 a (sin.f64 b) (.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))))
(fma.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (.f64 (sin.f64 b) (+.f64 a (*.f64 1/120 (pow.f64 a 5)))))
(.f64 (sin.f64 b) (+.f64 a (+.f64 (.f64 1/120 (pow.f64 a 5)) (*.f64 -1/6 (pow.f64 a 3)))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 b) (pow.f64 a 7))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a))))
(fma.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1/5040 (.f64 (sin.f64 b) (pow.f64 a 7)) (fma.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5)) (.f64 a (sin.f64 b)))))
(fma.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1/5040 (.f64 (sin.f64 b) (pow.f64 a 7)) (fma.f64 a (sin.f64 b) (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))))))
(+.f64 (.f64 (sin.f64 b) (+.f64 a (.f64 1/120 (pow.f64 a 5)))) (.f64 (sin.f64 b) (+.f64 (.f64 -1/5040 (pow.f64 a 7)) (*.f64 -1/6 (pow.f64 a 3)))))
(.f64 (sin.f64 b) (+.f64 (+.f64 (.f64 -1/5040 (pow.f64 a 7)) (.f64 -1/6 (pow.f64 a 3))) (+.f64 a (.f64 1/120 (pow.f64 a 5)))))
(*.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 a) (.f64 -1 (sin.f64 a))) b)
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 (+.f64 (sin.f64 a) (.f64 -1 (sin.f64 a))) b) (.f64 (+.f64 (.f64 1/6 (sin.f64 a)) (*.f64 -1/6 (sin.f64 a))) (pow.f64 b 3)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 (+.f64 (sin.f64 a) (.f64 -1 (sin.f64 a))) b) (+.f64 (.f64 (pow.f64 b 5) (+.f64 (.f64 1/120 (sin.f64 a)) (.f64 -1/120 (sin.f64 a)))) (.f64 (+.f64 (.f64 1/6 (sin.f64 a)) (.f64 -1/6 (sin.f64 a))) (pow.f64 b 3))))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 (+.f64 (sin.f64 a) (.f64 -1 (sin.f64 a))) b) (+.f64 (.f64 (pow.f64 b 5) (+.f64 (.f64 1/120 (sin.f64 a)) (.f64 -1/120 (sin.f64 a)))) (+.f64 (.f64 (+.f64 (.f64 1/6 (sin.f64 a)) (.f64 -1/6 (sin.f64 a))) (pow.f64 b 3)) (.f64 (+.f64 (.f64 1/5040 (sin.f64 a)) (*.f64 -1/5040 (sin.f64 a))) (pow.f64 b 7)))))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(.f64 a (+.f64 (.f64 -1 (sin.f64 b)) (sin.f64 b)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/6 (sin.f64 b)) (.f64 1/6 (sin.f64 b)))) (.f64 a (+.f64 (*.f64 -1 (sin.f64 b)) (sin.f64 b))))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 (pow.f64 a 5) (+.f64 (.f64 1/120 (sin.f64 b)) (.f64 -1/120 (sin.f64 b)))) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/6 (sin.f64 b)) (.f64 1/6 (sin.f64 b)))) (.f64 a (+.f64 (.f64 -1 (sin.f64 b)) (sin.f64 b)))))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 (pow.f64 a 7) (+.f64 (.f64 -1/5040 (sin.f64 b)) (.f64 1/5040 (sin.f64 b)))) (+.f64 (.f64 (pow.f64 a 5) (+.f64 (.f64 1/120 (sin.f64 b)) (.f64 -1/120 (sin.f64 b)))) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/6 (sin.f64 b)) (.f64 1/6 (sin.f64 b)))) (.f64 a (+.f64 (*.f64 -1 (sin.f64 b)) (sin.f64 b))))))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 b (.f64 0 (sin.f64 a)))
(*.f64 b 0)
0
(pow.f64 a 3)
(+.f64 (pow.f64 a 3) (*.f64 -1/2 (pow.f64 a 5)))
(+.f64 (pow.f64 a 3) (*.f64 (pow.f64 a 5) -1/2))
(fma.f64 (pow.f64 a 5) -1/2 (pow.f64 a 3))
(+.f64 (.f64 13/120 (pow.f64 a 7)) (+.f64 (pow.f64 a 3) (.f64 -1/2 (pow.f64 a 5))))
(fma.f64 13/120 (pow.f64 a 7) (+.f64 (pow.f64 a 3) (*.f64 (pow.f64 a 5) -1/2)))
(fma.f64 (pow.f64 a 7) 13/120 (fma.f64 (pow.f64 a 5) -1/2 (pow.f64 a 3)))
(+.f64 (.f64 13/120 (pow.f64 a 7)) (+.f64 (pow.f64 a 3) (+.f64 (.f64 -1/2 (pow.f64 a 5)) (*.f64 -41/3024 (pow.f64 a 9)))))
(fma.f64 13/120 (pow.f64 a 7) (+.f64 (pow.f64 a 3) (fma.f64 -1/2 (pow.f64 a 5) (*.f64 -41/3024 (pow.f64 a 9)))))
(+.f64 (fma.f64 (pow.f64 a 5) -1/2 (*.f64 -41/3024 (pow.f64 a 9))) (fma.f64 (pow.f64 a 7) 13/120 (pow.f64 a 3)))
(pow.f64 b 3)
(+.f64 (*.f64 -1/2 (pow.f64 b 5)) (pow.f64 b 3))
(fma.f64 -1/2 (pow.f64 b 5) (pow.f64 b 3))
(fma.f64 (pow.f64 b 5) -1/2 (pow.f64 b 3))
(+.f64 (.f64 -1/2 (pow.f64 b 5)) (+.f64 (pow.f64 b 3) (.f64 13/120 (pow.f64 b 7))))
(+.f64 (fma.f64 -1/2 (pow.f64 b 5) (pow.f64 b 3)) (*.f64 (pow.f64 b 7) 13/120))
(fma.f64 (pow.f64 b 5) -1/2 (fma.f64 (pow.f64 b 7) 13/120 (pow.f64 b 3)))
(+.f64 (.f64 -41/3024 (pow.f64 b 9)) (+.f64 (.f64 -1/2 (pow.f64 b 5)) (+.f64 (pow.f64 b 3) (*.f64 13/120 (pow.f64 b 7)))))
(fma.f64 -41/3024 (pow.f64 b 9) (+.f64 (fma.f64 -1/2 (pow.f64 b 5) (pow.f64 b 3)) (*.f64 (pow.f64 b 7) 13/120)))
(fma.f64 -41/3024 (pow.f64 b 9) (fma.f64 (pow.f64 b 5) -1/2 (fma.f64 (pow.f64 b 7) 13/120 (pow.f64 b 3))))

prune534.0ms (6.1%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	14	14
Picked	0	1	1
Done	0	1	1
Total	181	16	197

Error

0.0b

Counts

197 → 16

Alt Table

Status	Error	Program
✓	0.3b	(.f64 r (/.f64 (sin.f64 b) (+.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)))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (log.f64 (pow.f64 (exp.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)))))
	0.5b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) 1)))
	16.2b	(*.f64 r (/.f64 (sin.f64 b) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a)))))))
	16.7b	(.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))))
	25.8b	(/.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) 2) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
✓	0.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (sin.f64 a) 3)))) 1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1)))))
	31.9b	(.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 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)))))))
	16.7b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 3)
	16.1b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	0.4b	(/.f64 (.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 2) (.f64 (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))
	16.4b	(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (cos.f64 (+.f64 b a))))
	0.4b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))))
	0.4b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (log.f64 (pow.f64 (exp.f64 (sin.f64 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))))))))
	16.1b	(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r)))

Compiler

Compiled 7985 to 3453 computations (56.8% saved)

regimes282.0ms (3.2%)

Accuracy

Total -49.5b remaining (-14889.1%)

Threshold costs -49.5b (-14889.1%)

Counts

118 → 1

Compiler

Compiled 2840 to 824 computations (71% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`distribute-rgt-neg-in_binary64`
3×	`distribute-lft-neg-in_binary64`
3×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	26
1	30	26
2	40	26
3	45	26
4	49	26
5	51	26

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1))) 0)))

Outputs

(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1))) 0)))

(*.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))))))

end173.0ms (2%)

Stop Event

1×

fuel

Compiler

Compiled 444 to 154 computations (65.3% saved)

Details

analyze1.6s (17.8%)

sample3.7s (42.6%)

preprocess16.0ms (0.2%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series22.0ms (0.2%)

rewrite61.0ms (0.7%)

simplify49.0ms (0.6%)

prune519.0ms (5.9%)

localize19.0ms (0.2%)

series51.0ms (0.6%)

rewrite70.0ms (0.8%)

simplify69.0ms (0.8%)

prune899.0ms (10.3%)

localize13.0ms (0.1%)

series14.0ms (0.2%)

rewrite70.0ms (0.8%)

simplify35.0ms (0.4%)

prune427.0ms (4.9%)

localize26.0ms (0.3%)

series9.0ms (0.1%)

rewrite60.0ms (0.7%)

simplify35.0ms (0.4%)

prune534.0ms (6.1%)

regimes282.0ms (3.2%)

simplify3.0ms (0%)

end173.0ms (2%)

Profiling