Details

analyze432.0ms (2.8%)

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.3s (21.4%)

Results

1.9s	3635×	body	1024	valid
585.0ms	1374×	body	512	valid
541.0ms	3031×	body	256	valid
194.0ms	216×	body	2048	valid
0.0ms	1×	body	1024	invalid

preprocess17.0ms (0.1%)

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 15 to 11 computations (26.7% saved)

simplify7.0ms (0%)

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))))

eval1.0ms (0%)

Compiler: Compiled 21 to 12 computations (42.9% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

13.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.8b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
▶	13.8b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	4.5b	(cos.f64 (+.f64 a b))
	0.3b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
	0.1b	(*.f64 r (sin.f64 b))
✓	0.1b	(*.f64 r (sin.f64 b))
✓	0.3b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
✓	4.5b	(cos.f64 (+.f64 a b))

series15.0ms (0.1%)

Counts

3 → 76

Calls

21 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`prod-diff_binary64`
557×	`log-prod_binary64`
344×	`pow-prod-down_binary64`
288×	`pow2_binary64`
211×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	200	26
2	2936	26

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

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

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

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

simplify43.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

769×	`associate-r_binary64`
753×	`fma-def_binary64`
718×	`associate-l_binary64`
372×	`times-frac_binary64`
327×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	1351
1	456	1285
2	1533	1234

Stop Event

1×	node limit

Counts

214 → 184

Calls

Call 1

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

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

localize30.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	4.5b	(cos.f64 (+.f64 b a))
	0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
	0.1b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
✓	0.1b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
✓	0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
✓	4.5b	(cos.f64 (+.f64 b a))

series11.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite112.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`prod-diff_binary64`
538×	`log-prod_binary64`
345×	`pow-prod-down_binary64`
288×	`pow2_binary64`
214×	`fma-def_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 → 133

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 0 (cos.f64 (+.f64 b 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 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (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 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (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 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (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))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))) 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Outputs

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

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

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

904×	`fma-def_binary64`
521×	`times-frac_binary64`
472×	`associate-/l*_binary64`
437×	`associate-*l/_binary64`
359×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	1827
1	585	1745
2	2109	1658

Stop Event

1×	node limit

Counts

217 → 187

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

eval135.0ms (0.9%)

Compiler: Compiled 8696 to 2768 computations (68.2% saved)

prune170.0ms (1.1%)

Pruning

51 alts after pruning (50 fresh and 1 done)

	Pruned	Kept	Total
New	321	50	371
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	322	51	373

Error

0.0b

Counts

373 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	25.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
	13.9b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 a b)))))
	31.6b	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
	27.5b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))
	0.4b	(.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))))))
	31.0b	(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
	24.1b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
	44.9b	(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 a b)))
	14.4b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 3)
	13.8b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	37.3b	(*.f64 r (sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)))
	31.1b	(fma.f64 (/.f64 r (cos.f64 a)) b (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (.f64 b r)) (fma.f64 (-.f64 (/.f64 (.f64 (sin.f64 a) r) (/.f64 (pow.f64 (cos.f64 a) 2) -1/3)) (.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)))) (neg.f64 (pow.f64 b 4)) (.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))))))
	22.8b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	22.8b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 b))) (.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2))) (.f64 (cbrt.f64 (sin.f64 b)) (.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))
	31.1b	(+.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))))))
	24.1b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
	50.9b	(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3) 1/3)
	29.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
	13.8b	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	13.8b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
	30.1b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (.f64 (cos.f64 a) -1/2) b) (sin.f64 a))))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 b))) (.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2))) (.f64 (cbrt.f64 (sin.f64 b)) (.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))
▶	13.8b	(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))
✓	13.8b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
	29.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))))
▶	13.8b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 a b)))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 b))) (.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2))) (.f64 (cbrt.f64 (sin.f64 b)) (*.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))
	27.9b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	38.4b	(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
	18.0b	(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	14.6b	(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3))
	31.1b	(*.f64 (/.f64 r (cos.f64 a)) b)
	31.1b	(*.f64 r (/.f64 b (cos.f64 a)))
	27.9b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
	32.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b)))))))
▶	31.1b	(/.f64 (*.f64 b r) (cos.f64 a))
	23.0b	(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
	39.1b	(*.f64 r (exp.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	14.0b	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3)))
	27.5b	(*.f64 r (/.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))
	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	24.1b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
	43.0b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3))
	14.2b	(*.f64 r (log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (.f64 (sin.f64 a) 1) (.f64 (sin.f64 b) (.f64 (sin.f64 a) 1)))))
	38.3b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
▶	0.3b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
▶	54.5b	(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
	32.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (.f64 (sin.f64 a) (sqrt.f64 (sin.f64 b)))))) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 b))) (.f64 (sin.f64 a) (sqrt.f64 (sin.f64 b))) (.f64 (sqrt.f64 (sin.f64 b)) (.f64 (sin.f64 a) (sqrt.f64 (sin.f64 b)))))))
	24.0b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))

Compiler

Compiled 2278 to 1380 computations (39.4% saved)

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series26.0ms (0.2%)

Counts

4 → 108

Calls

27 calls:

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

rewrite285.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`prod-diff_binary64`
699×	`log-prod_binary64`
242×	`expm1-udef_binary64`
242×	`log1p-udef_binary64`
238×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 330

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))))) (#(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 (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 (cbrt.f64 (pow.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 (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 (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 (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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (cbrt.f64 (sin.f64 b)) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))))
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simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

497×	`times-frac_binary64`
455×	`associate-/l*_binary64`
437×	`associate-*l/_binary64`
359×	`associate-*r/_binary64`
307×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	2867
1	653	2785
2	2356	2702

Stop Event

1×	node limit

Counts

438 → 397

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

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

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

series6.0ms (0%)

Counts

1 → 16

Calls

9 calls:

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

rewrite43.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`pow1_binary64`
745×	`add-log-exp_binary64`
745×	`log1p-expm1-u_binary64`
745×	`expm1-log1p-u_binary64`
728×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	144	9
2	1955	9

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

783×	`fma-neg_binary64`
367×	`distribute-rgt-neg-in_binary64`
364×	`distribute-lft-neg-in_binary64`
347×	`distribute-lft-out_binary64`
345×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	247
1	130	214
2	525	202
3	2669	187

Stop Event

1×	node limit

Counts

57 → 50

Calls

Call 1

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

Outputs
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (.f64 r b))
(fma.f64 1/2 (.f64 (.f64 r b) (.f64 a a)) (.f64 r b))
(.f64 (+.f64 (.f64 (.f64 1/2 a) a) 1) (.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 r b) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (.f64 r b)))))))
(fma.f64 1/2 (.f64 (.f64 r b) (.f64 a a)) (fma.f64 r b (neg.f64 (.f64 (pow.f64 a 4) (fma.f64 -1/4 (.f64 r b) (.f64 (*.f64 r b) 1/24))))))
(-.f64 (.f64 (+.f64 (.f64 (.f64 1/2 a) a) 1) (.f64 r b)) (.f64 (pow.f64 a 4) (.f64 (*.f64 r b) -5/24)))
(fma.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 r b) (.f64 (pow.f64 a 4) (.f64 (*.f64 r b) 5/24)))
(.f64 (.f64 r b) (-.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 (pow.f64 a 4) -5/24)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 r b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (.f64 r b)))) (+.f64 (.f64 -1/720 (.f64 r b)) (.f64 1/48 (.f64 b r)))))) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (*.f64 r b))))))))
(fma.f64 1/2 (.f64 (.f64 r b) (.f64 a a)) (fma.f64 r b (fma.f64 -1 (.f64 (pow.f64 a 6) (fma.f64 1/2 (fma.f64 -1/4 (.f64 r b) (.f64 (.f64 r b) 1/24)) (fma.f64 -1/720 (.f64 r b) (.f64 (.f64 r b) 1/48)))) (neg.f64 (.f64 (pow.f64 a 4) (fma.f64 -1/4 (.f64 r b) (.f64 (.f64 r b) 1/24)))))))
(fma.f64 1/2 (.f64 r (.f64 b (.f64 a a))) (fma.f64 r b (neg.f64 (fma.f64 (pow.f64 a 6) (fma.f64 1/2 (.f64 (.f64 r b) -5/24) (.f64 (.f64 r b) 7/360)) (.f64 (pow.f64 a 4) (.f64 (.f64 r b) -5/24))))))
(-.f64 (fma.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 r b) (.f64 (pow.f64 a 4) (.f64 (.f64 r b) 5/24))) (.f64 (pow.f64 a 6) (fma.f64 r (.f64 b 1/48) (.f64 (*.f64 r b) -19/180))))
(-.f64 (.f64 (.f64 r b) (-.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 (pow.f64 a 4) -5/24))) (.f64 (pow.f64 a 6) (.f64 (*.f64 r b) -61/720)))

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	4.5b	(cos.f64 (+.f64 a b))
	0.2b	(*.f64 r (/.f64 1 (cos.f64 (+.f64 a b))))
	0.2b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 a b)))))
	0.2b	(/.f64 1 (cos.f64 (+.f64 a b)))
✓	0.2b	(/.f64 1 (cos.f64 (+.f64 a b)))
✓	0.2b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 a b)))))
✓	0.2b	(*.f64 r (/.f64 1 (cos.f64 (+.f64 a b))))
	4.5b	(cos.f64 (+.f64 a b))

series17.0ms (0.1%)

Counts

3 → 88

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	r	@	inf	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 a b)))))
1.0ms	a	@	0	(*.f64 r (/.f64 1 (cos.f64 (+.f64 a b))))
1.0ms	a	@	0	(/.f64 1 (cos.f64 (+.f64 a b)))
1.0ms	b	@	0	(*.f64 r (/.f64 1 (cos.f64 (+.f64 a b))))
1.0ms	b	@	0	(/.f64 1 (cos.f64 (+.f64 a b)))

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

594×	`log-prod_binary64`
579×	`prod-diff_binary64`
313×	`pow2_binary64`
220×	`pow1/3_binary64`
219×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	236	32
2	3165	32

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

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

Outputs

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

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

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

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

607×	`times-frac_binary64`
525×	`associate-/l*_binary64`
491×	`associate-*l/_binary64`
452×	`distribute-rgt-in_binary64`
435×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	2138
1	611	2036
2	2173	1957

Stop Event

1×	node limit

Counts

173 → 138

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(expm1.f64 (cos.f64 (+.f64 b a)))
	0.2b	(log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))
	0.2b	(/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
	0.1b	(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))
✓	0.2b	(/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
✓	0.2b	(log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))
✓	0.5b	(expm1.f64 (cos.f64 (+.f64 b a)))
	4.5b	(cos.f64 (+.f64 b a))

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(expm1.f64 (cos.f64 (+.f64 b a)))
1.0ms	b	@	0	(expm1.f64 (cos.f64 (+.f64 b a)))
0.0ms	a	@	0	(/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
0.0ms	b	@	0	(/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
0.0ms	b	@	inf	(expm1.f64 (cos.f64 (+.f64 b a)))

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`prod-diff_binary64`
583×	`unpow-prod-down_binary64`
452×	`log-prod_binary64`
252×	`pow2_binary64`
211×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	181	25
2	2534	25

Stop Event

1×	node limit

Counts

3 → 173

Calls

Call 1

Inputs
(expm1.f64 (cos.f64 (+.f64 b a)))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))

Outputs

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

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

simplify116.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

483×	`unsub-neg_binary64`
326×	`distribute-rgt-in_binary64`
320×	`distribute-lft-in_binary64`
318×	`*-commutative_binary64`
299×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	1359
1	533	1300
2	1815	1233
3	6956	1229

Stop Event

1×	node limit

Counts

245 → 227

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (cos.f64 a)) 1)
(expm1.f64 (cos.f64 a))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 a) (*.f64 b (exp.f64 (cos.f64 a))))) (exp.f64 (cos.f64 a))) 1)
(+.f64 (neg.f64 (.f64 (sin.f64 a) (.f64 (exp.f64 (cos.f64 a)) b))) (expm1.f64 (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (*.f64 (exp.f64 (cos.f64 a)) b) (expm1.f64 (cos.f64 a)))
(-.f64 (expm1.f64 (cos.f64 a)) (.f64 (exp.f64 (cos.f64 a)) (.f64 (sin.f64 a) b)))
(-.f64 (+.f64 (.f64 (pow.f64 b 2) (.f64 (+.f64 (.f64 1/2 (pow.f64 (sin.f64 a) 2)) (.f64 -1/2 (cos.f64 a))) (exp.f64 (cos.f64 a)))) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (*.f64 b (exp.f64 (cos.f64 a))))) (exp.f64 (cos.f64 a)))) 1)
(+.f64 (.f64 (.f64 b b) (.f64 (exp.f64 (cos.f64 a)) (fma.f64 1/2 (pow.f64 (sin.f64 a) 2) (.f64 (cos.f64 a) -1/2)))) (+.f64 (neg.f64 (.f64 (sin.f64 a) (.f64 (exp.f64 (cos.f64 a)) b))) (expm1.f64 (cos.f64 a))))
(fma.f64 (.f64 b b) (.f64 (exp.f64 (cos.f64 a)) (fma.f64 1/2 (pow.f64 (sin.f64 a) 2) (.f64 (cos.f64 a) -1/2))) (fma.f64 (neg.f64 (sin.f64 a)) (.f64 (exp.f64 (cos.f64 a)) b) (expm1.f64 (cos.f64 a))))
(+.f64 (expm1.f64 (cos.f64 a)) (.f64 (exp.f64 (cos.f64 a)) (-.f64 (.f64 b (.f64 b (fma.f64 1/2 (pow.f64 (sin.f64 a) 2) (.f64 (cos.f64 a) -1/2)))) (*.f64 (sin.f64 a) b))))
(-.f64 (+.f64 (.f64 (pow.f64 b 2) (.f64 (+.f64 (.f64 1/2 (pow.f64 (sin.f64 a) 2)) (.f64 -1/2 (cos.f64 a))) (exp.f64 (cos.f64 a)))) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (.f64 b (exp.f64 (cos.f64 a))))) (+.f64 (.f64 (pow.f64 b 3) (.f64 (+.f64 (.f64 1/6 (sin.f64 a)) (+.f64 (.f64 1/2 (.f64 (sin.f64 a) (cos.f64 a))) (*.f64 -1/6 (pow.f64 (sin.f64 a) 3)))) (exp.f64 (cos.f64 a)))) (exp.f64 (cos.f64 a))))) 1)
(+.f64 (fma.f64 (.f64 b b) (.f64 (exp.f64 (cos.f64 a)) (fma.f64 1/2 (pow.f64 (sin.f64 a) 2) (.f64 (cos.f64 a) -1/2))) (fma.f64 -1 (.f64 (sin.f64 a) (.f64 (exp.f64 (cos.f64 a)) b)) (fma.f64 (pow.f64 b 3) (.f64 (exp.f64 (cos.f64 a)) (fma.f64 1/6 (sin.f64 a) (fma.f64 1/2 (.f64 (cos.f64 a) (sin.f64 a)) (.f64 -1/6 (pow.f64 (sin.f64 a) 3))))) (exp.f64 (cos.f64 a))))) -1)
(+.f64 -1 (fma.f64 (.f64 b b) (.f64 (exp.f64 (cos.f64 a)) (fma.f64 1/2 (pow.f64 (sin.f64 a) 2) (.f64 (cos.f64 a) -1/2))) (-.f64 (.f64 (+.f64 (.f64 (pow.f64 b 3) (fma.f64 (sin.f64 a) 1/6 (fma.f64 -1/6 (pow.f64 (sin.f64 a) 3) (.f64 (cos.f64 a) (.f64 (sin.f64 a) 1/2))))) 1) (exp.f64 (cos.f64 a))) (.f64 (exp.f64 (cos.f64 a)) (*.f64 (sin.f64 a) b)))))
(+.f64 (.f64 (exp.f64 (cos.f64 a)) (-.f64 (+.f64 1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -1/6 (pow.f64 (sin.f64 a) 3)) (.f64 (sin.f64 a) (+.f64 1/6 (.f64 (cos.f64 a) 1/2)))))) (.f64 (sin.f64 a) b))) (fma.f64 (fma.f64 1/2 (pow.f64 (sin.f64 a) 2) (.f64 (cos.f64 a) -1/2)) (.f64 (exp.f64 (cos.f64 a)) (*.f64 b b)) -1))
(-.f64 (exp.f64 (cos.f64 (+.f64 a b))) 1)
(expm1.f64 (cos.f64 (+.f64 a b)))
(-.f64 (exp.f64 (cos.f64 (+.f64 a b))) 1)
(expm1.f64 (cos.f64 (+.f64 a b)))
(-.f64 (exp.f64 (cos.f64 (+.f64 a b))) 1)
(expm1.f64 (cos.f64 (+.f64 a b)))
(-.f64 (exp.f64 (cos.f64 (+.f64 a b))) 1)
(expm1.f64 (cos.f64 (+.f64 a b)))
(-.f64 (exp.f64 (cos.f64 (-.f64 a (*.f64 -1 b)))) 1)
(expm1.f64 (cos.f64 (+.f64 a b)))
(-.f64 (exp.f64 (cos.f64 (-.f64 a (*.f64 -1 b)))) 1)
(expm1.f64 (cos.f64 (+.f64 a b)))
(-.f64 (exp.f64 (cos.f64 (-.f64 a (*.f64 -1 b)))) 1)
(expm1.f64 (cos.f64 (+.f64 a b)))
(-.f64 (exp.f64 (cos.f64 (-.f64 a (*.f64 -1 b)))) 1)
(expm1.f64 (cos.f64 (+.f64 a b)))
(-.f64 (exp.f64 (cos.f64 b)) 1)
(expm1.f64 (cos.f64 b))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 b) (*.f64 a (exp.f64 (cos.f64 b))))) (exp.f64 (cos.f64 b))) 1)
(+.f64 (neg.f64 (.f64 (.f64 a (sin.f64 b)) (exp.f64 (cos.f64 b)))) (expm1.f64 (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) (*.f64 a (exp.f64 (cos.f64 b))) (expm1.f64 (cos.f64 b)))
(-.f64 (expm1.f64 (cos.f64 b)) (.f64 (exp.f64 (cos.f64 b)) (.f64 a (sin.f64 b))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 b) (.f64 a (exp.f64 (cos.f64 b))))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/2 (pow.f64 (sin.f64 b) 2))) (*.f64 (pow.f64 a 2) (exp.f64 (cos.f64 b)))) (exp.f64 (cos.f64 b)))) 1)
(+.f64 (fma.f64 -1 (.f64 (.f64 a (sin.f64 b)) (exp.f64 (cos.f64 b))) (fma.f64 (fma.f64 -1/2 (cos.f64 b) (.f64 1/2 (pow.f64 (sin.f64 b) 2))) (.f64 (exp.f64 (cos.f64 b)) (*.f64 a a)) (exp.f64 (cos.f64 b)))) -1)
(+.f64 -1 (-.f64 (.f64 (+.f64 (.f64 (fma.f64 1/2 (pow.f64 (sin.f64 b) 2) (.f64 -1/2 (cos.f64 b))) (.f64 a a)) 1) (exp.f64 (cos.f64 b))) (.f64 a (.f64 (exp.f64 (cos.f64 b)) (sin.f64 b)))))
(+.f64 -1 (.f64 (exp.f64 (cos.f64 b)) (-.f64 (+.f64 1 (.f64 a (.f64 a (fma.f64 1/2 (pow.f64 (sin.f64 b) 2) (.f64 -1/2 (cos.f64 b)))))) (*.f64 a (sin.f64 b)))))
(-.f64 (+.f64 (.f64 (pow.f64 a 3) (.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 b) (cos.f64 b))) (+.f64 (.f64 1/6 (sin.f64 b)) (.f64 -1/6 (pow.f64 (sin.f64 b) 3)))) (exp.f64 (cos.f64 b)))) (+.f64 (.f64 -1 (.f64 (sin.f64 b) (.f64 a (exp.f64 (cos.f64 b))))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/2 (pow.f64 (sin.f64 b) 2))) (*.f64 (pow.f64 a 2) (exp.f64 (cos.f64 b)))) (exp.f64 (cos.f64 b))))) 1)
(+.f64 (fma.f64 (pow.f64 a 3) (.f64 (exp.f64 (cos.f64 b)) (fma.f64 1/2 (.f64 (cos.f64 b) (sin.f64 b)) (fma.f64 1/6 (sin.f64 b) (.f64 -1/6 (pow.f64 (sin.f64 b) 3))))) (fma.f64 -1 (.f64 (.f64 a (sin.f64 b)) (exp.f64 (cos.f64 b))) (fma.f64 (fma.f64 -1/2 (cos.f64 b) (.f64 1/2 (pow.f64 (sin.f64 b) 2))) (.f64 (exp.f64 (cos.f64 b)) (.f64 a a)) (exp.f64 (cos.f64 b))))) -1)
(+.f64 -1 (fma.f64 (pow.f64 a 3) (.f64 (exp.f64 (cos.f64 b)) (fma.f64 1/2 (.f64 (cos.f64 b) (sin.f64 b)) (fma.f64 -1/6 (pow.f64 (sin.f64 b) 3) (.f64 1/6 (sin.f64 b))))) (-.f64 (.f64 (+.f64 (.f64 (fma.f64 1/2 (pow.f64 (sin.f64 b) 2) (.f64 -1/2 (cos.f64 b))) (.f64 a a)) 1) (exp.f64 (cos.f64 b))) (.f64 a (*.f64 (exp.f64 (cos.f64 b)) (sin.f64 b))))))
(+.f64 (.f64 (exp.f64 (cos.f64 b)) (-.f64 (+.f64 1 (.f64 a (.f64 a (fma.f64 1/2 (pow.f64 (sin.f64 b) 2) (.f64 -1/2 (cos.f64 b)))))) (.f64 a (sin.f64 b)))) (fma.f64 (+.f64 (.f64 -1/6 (pow.f64 (sin.f64 b) 3)) (.f64 (sin.f64 b) (+.f64 (.f64 1/2 (cos.f64 b)) 1/6))) (*.f64 (exp.f64 (cos.f64 b)) (pow.f64 a 3)) -1))
(+.f64 (fma.f64 (+.f64 1 (.f64 a (.f64 a (fma.f64 1/2 (pow.f64 (sin.f64 b) 2) (.f64 -1/2 (cos.f64 b)))))) (exp.f64 (cos.f64 b)) -1) (.f64 (exp.f64 (cos.f64 b)) (-.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/6 (pow.f64 (sin.f64 b) 3)) (.f64 (sin.f64 b) (+.f64 (.f64 1/2 (cos.f64 b)) 1/6)))) (*.f64 a (sin.f64 b)))))
(-.f64 (exp.f64 (cos.f64 (+.f64 a b))) 1)
(expm1.f64 (cos.f64 (+.f64 a b)))
(-.f64 (exp.f64 (cos.f64 (+.f64 a b))) 1)
(expm1.f64 (cos.f64 (+.f64 a b)))
(-.f64 (exp.f64 (cos.f64 (+.f64 a b))) 1)
(expm1.f64 (cos.f64 (+.f64 a b)))
(-.f64 (exp.f64 (cos.f64 (+.f64 a b))) 1)
(expm1.f64 (cos.f64 (+.f64 a b)))
(-.f64 (exp.f64 (cos.f64 (-.f64 b (*.f64 -1 a)))) 1)
(expm1.f64 (cos.f64 (+.f64 a b)))
(-.f64 (exp.f64 (cos.f64 (-.f64 b (*.f64 -1 a)))) 1)
(expm1.f64 (cos.f64 (+.f64 a b)))
(-.f64 (exp.f64 (cos.f64 (-.f64 b (*.f64 -1 a)))) 1)
(expm1.f64 (cos.f64 (+.f64 a b)))
(-.f64 (exp.f64 (cos.f64 (-.f64 b (*.f64 -1 a)))) 1)
(expm1.f64 (cos.f64 (+.f64 a b)))
(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 (neg.f64 a)) 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 (cos.f64 a) (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 (.f64 b b))) (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) -1/2)) (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 (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)) (fma.f64 -1/2 (.f64 (cos.f64 a) (.f64 b b)) (.f64 (sin.f64 a) (*.f64 (pow.f64 b 3) 1/6))))
(+.f64 (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 (pow.f64 b 3) 1/6))) (.f64 (+.f64 (.f64 (*.f64 b b) -1/2) 1) (cos.f64 a)))
(+.f64 (.f64 (sin.f64 a) (-.f64 (.f64 (pow.f64 b 3) 1/6) b)) (.f64 (+.f64 (.f64 (*.f64 b b) -1/2) 1) (cos.f64 a)))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (+.f64 a 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 (fma.f64 -1/2 (.f64 a (.f64 a (cos.f64 b))) (cos.f64 b)) (*.f64 a (sin.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 a (.f64 a (cos.f64 b))) (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)))))
(+.f64 (fma.f64 -1/2 (.f64 (cos.f64 b) (.f64 a a)) (cos.f64 b)) (.f64 (sin.f64 b) (-.f64 (.f64 1/6 (pow.f64 a 3)) a)))
(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)))
(+.f64 (/.f64 b (cos.f64 a)) (.f64 (.f64 b b) (/.f64 (sin.f64 a) (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)) (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))))
(+.f64 (/.f64 b (cos.f64 a)) (.f64 (.f64 b b) (+.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (/.f64 1/3 (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 (/.f64 b (cos.f64 a)) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (/.f64 1/3 (cos.f64 a)))))) (.f64 (pow.f64 b 4) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -1/3 (*.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (/.f64 1/3 (cos.f64 a))))))))
(+.f64 (/.f64 b (cos.f64 a)) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (/.f64 1/3 (cos.f64 a)))))) (.f64 (pow.f64 b 4) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -1/3 (*.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (/.f64 1/3 (cos.f64 a))))))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.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 (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 a (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.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 (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))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a) (.f64 a (.f64 a (-.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.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 a (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3))))))
(+.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 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) a)))))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a) (.f64 a (.f64 a (-.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.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 (sin.f64 b) (cos.f64 b))) (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (/.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 a (-.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3))))) (-.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.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 (sin.f64 b) (cos.f64 b))) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 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 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)))

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	4.5b	(cos.f64 (+.f64 b a))
	1.1b	(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
	1.0b	(pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
	0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
	0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
✓	1.0b	(pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
✓	1.1b	(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
	4.5b	(cos.f64 (+.f64 b a))

series347.0ms (2.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
127.0ms	a	@	inf	(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
63.0ms	r	@	-inf	(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
59.0ms	r	@	inf	(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
39.0ms	b	@	inf	(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
21.0ms	b	@	-inf	(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`log-prod_binary64`
583×	`prod-diff_binary64`
333×	`pow2_binary64`
255×	`fma-def_binary64`
229×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	237	30
2	3287	30

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

924×	`distribute-rgt-in_binary64`
914×	`distribute-lft-in_binary64`
270×	`associate-/r/_binary64`
219×	`associate-r_binary64`
206×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	3206
1	851	2986
2	3595	2740

Stop Event

1×	node limit

Counts

148 → 125

Calls

Call 1

Inputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (.f64 1/2 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 (+.f64 a b)) 2)) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 (+.f64 a b)) 2)))) (pow.f64 r 2))))
(+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 (+.f64 a b)) 2)) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 (+.f64 a b)) 2)))) (pow.f64 r 2))) (.f64 1/6 (.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 a b)) 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 a b)) 3)) (.f64 2 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 a b)) 3))))) (pow.f64 r 3)))))
(+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -4 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 (+.f64 a b)) 4))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 (+.f64 a b)) 4)) (+.f64 (.f64 -3 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 (+.f64 a b)) 4))) (+.f64 (.f64 12 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 (+.f64 a b)) 4))) (.f64 -6 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 (+.f64 a b)) 4))))))) (pow.f64 r 4))) (+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 (+.f64 a b)) 2)) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 (+.f64 a b)) 2)))) (pow.f64 r 2))) (.f64 1/6 (.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 a b)) 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 a b)) 3)) (.f64 2 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 a b)) 3))))) (pow.f64 r 3))))))
(/.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 1/2 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2))) (.f64 2 (+.f64 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)) (.f64 1/2 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2)))))))) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (+.f64 (.f64 6 (+.f64 (/.f64 (.f64 (sin.f64 a) (pow.f64 r 2)) (pow.f64 (cos.f64 a) 3)) (+.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))))) r) (.f64 1/6 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3)))))) (+.f64 (.f64 -6 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)) (.f64 1/2 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2)))) r) (cos.f64 a))) (.f64 2 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2))) (.f64 2 (+.f64 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)) (.f64 1/2 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2)))))))) (/.f64 (*.f64 r b) (cos.f64 a))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (+.f64 (.f64 6 (+.f64 (/.f64 (.f64 (sin.f64 a) (pow.f64 r 2)) (pow.f64 (cos.f64 a) 3)) (+.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))))) r) (.f64 1/6 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3)))))) (+.f64 (.f64 -6 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)) (.f64 1/2 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2)))) r) (cos.f64 a))) (.f64 2 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2))) (.f64 2 (+.f64 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)) (.f64 1/2 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2)))))))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 1/24 (.f64 (+.f64 (.f64 -24 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (sin.f64 a) (pow.f64 r 2)) (pow.f64 (cos.f64 a) 3)) (+.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))))) r) (.f64 1/6 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3))))) r) (cos.f64 a))) (+.f64 (.f64 24 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)) (.f64 1/2 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2)))) (pow.f64 r 2)) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -6 (/.f64 (pow.f64 r 4) (pow.f64 (cos.f64 a) 4))) (+.f64 (.f64 24 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 a) 4))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 r 4) (pow.f64 (cos.f64 a) 4))) (+.f64 (/.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 r 2)) (cos.f64 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 a) (pow.f64 r 3)) (pow.f64 (cos.f64 a) 4))) (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.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 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) r))))))) (.f64 -12 (pow.f64 (+.f64 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)) (.f64 1/2 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2)))) 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 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 (+.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)))) r)) (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 4))))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 r 2)) (pow.f64 (cos.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 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (+.f64 (.f64 -1 (.f64 (+.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)))) r)) (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 4))))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 4)))))) (+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 -6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 (+.f64 (.f64 -1 (.f64 (+.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)))) r)) (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 4)))) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 6) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 6))) (.f64 6 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 (+.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)))) (pow.f64 r 2))) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 -1 (.f64 r (+.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 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 6) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 6)))))))))))))
(/.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))))
1
(+.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))) (+.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 (+.f64 a b)) 2))) (+.f64 1 (+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 (+.f64 a b)) 3))))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
1
(+.f64 1 (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 1 (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)) (.f64 1/2 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 2))))
(+.f64 1 (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (+.f64 (.f64 (+.f64 (/.f64 (.f64 (sin.f64 a) (pow.f64 r 2)) (pow.f64 (cos.f64 a) 3)) (+.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))))) r) (.f64 1/6 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)) (*.f64 1/2 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 2)))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))))
(exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))))
(exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))))
(exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))) (pow.f64 (cos.f64 b) 2)))
(+.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (+.f64 (.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (+.f64 (.f64 -1 (.f64 (+.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)))) r)) (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 4)))) (pow.f64 a 2))) (/.f64 (.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r))) (pow.f64 (cos.f64 b) 2))))
(+.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (+.f64 (.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (+.f64 (.f64 -1 (.f64 (+.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)))) r)) (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 4)))) (pow.f64 a 2))) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 (+.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)))) (pow.f64 r 2))) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 -1 (.f64 r (+.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 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 6) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 6))))) (.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (pow.f64 a 3))) (/.f64 (.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))) (pow.f64 (cos.f64 b) 2)))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a)))))
(exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a)))))
(exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a)))))
(exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a)))))

Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (.f64 1/2 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 (+.f64 a b)) 2)) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 (+.f64 a b)) 2)))) (pow.f64 r 2))))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) (.f64 1/2 (.f64 (.f64 0 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))) (.f64 r r))))
(fma.f64 0 (.f64 r r) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(*.f64 r (+.f64 0 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 (+.f64 a b)) 2)) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 (+.f64 a b)) 2)))) (pow.f64 r 2))) (.f64 1/6 (.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 a b)) 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 a b)) 3)) (.f64 2 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 a b)) 3))))) (pow.f64 r 3)))))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) (.f64 1/2 (.f64 (.f64 0 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))) (.f64 r r))))
(fma.f64 0 (.f64 r r) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(*.f64 r (+.f64 0 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -4 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 (+.f64 a b)) 4))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 (+.f64 a b)) 4)) (+.f64 (.f64 -3 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 (+.f64 a b)) 4))) (+.f64 (.f64 12 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 (+.f64 a b)) 4))) (.f64 -6 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 (+.f64 a b)) 4))))))) (pow.f64 r 4))) (+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 (+.f64 a b)) 2)) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 (+.f64 a b)) 2)))) (pow.f64 r 2))) (.f64 1/6 (.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 a b)) 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 a b)) 3)) (.f64 2 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 a b)) 3))))) (pow.f64 r 3))))))
(fma.f64 1/24 (.f64 (fma.f64 -4 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 (+.f64 b a)) 4)) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 (+.f64 b a)) 4)) (fma.f64 -3 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 (+.f64 b a)) 4)) (.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 (+.f64 b a)) 4)) 6)))) (pow.f64 r 4)) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) (fma.f64 1/2 (.f64 (.f64 0 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 (+.f64 b a)) 2))) (.f64 r r)) (.f64 1/6 (.f64 (fma.f64 -3 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) (.f64 3 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)))) (pow.f64 r 3))))))
(fma.f64 1/24 (.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 (+.f64 b a)) 4))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 (+.f64 b a)) 4)) 3)) (pow.f64 r 4)) (+.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) (fma.f64 (.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 0)) (pow.f64 r 3) (.f64 r (.f64 r 0)))))
(fma.f64 1/24 (.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 (+.f64 b a)) 4)) 0) (pow.f64 r 4)) (*.f64 r (+.f64 0 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(+.f64 (.f64 1/2 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2))) (.f64 2 (+.f64 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)) (.f64 1/2 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2)))))))) (/.f64 (*.f64 r b) (cos.f64 a)))
(fma.f64 1/2 (.f64 (.f64 b b) (fma.f64 -1 (/.f64 (.f64 r r) (pow.f64 (cos.f64 a) 2)) (.f64 2 (+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) r)) (.f64 1/2 (/.f64 (.f64 r r) (pow.f64 (cos.f64 a) 2))))))) (/.f64 r (/.f64 (cos.f64 a) b)))
(fma.f64 1/2 (.f64 b (.f64 b (-.f64 (.f64 2 (fma.f64 1/2 (/.f64 (.f64 r r) (pow.f64 (cos.f64 a) 2)) (/.f64 r (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))))) (/.f64 (.f64 r r) (pow.f64 (cos.f64 a) 2))))) (/.f64 (.f64 b r) (cos.f64 a)))
(fma.f64 (.f64 1/2 (.f64 b b)) (+.f64 (.f64 2 (.f64 (/.f64 r (pow.f64 (cos.f64 a) 2)) (sin.f64 a))) (.f64 (.f64 (/.f64 r (pow.f64 (cos.f64 a) 2)) r) 0)) (*.f64 (/.f64 b (cos.f64 a)) r))
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(+.f64 1 (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (fma.f64 (+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 3) (.f64 r r))) (fma.f64 (-.f64 (-.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 1/6 (cos.f64 a))) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) r (/.f64 (.f64 1/6 (pow.f64 r 3)) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3) (.f64 (.f64 b b) (+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) r)) (.f64 1/2 (/.f64 (.f64 r r) (pow.f64 (cos.f64 a) 2))))))))
(+.f64 (fma.f64 (.f64 b b) (fma.f64 1/2 (/.f64 (.f64 r r) (pow.f64 (cos.f64 a) 2)) (/.f64 r (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a)))) (.f64 (pow.f64 b 3) (+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 3) (.f64 r r))) (fma.f64 r (-.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/3) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (/.f64 (.f64 1/6 (pow.f64 r 3)) (pow.f64 (cos.f64 a) 3)))))) (+.f64 (/.f64 (*.f64 b r) (cos.f64 a)) 1))
(+.f64 1 (+.f64 (.f64 b (+.f64 (/.f64 r (cos.f64 a)) (.f64 (fma.f64 1/2 (.f64 (/.f64 r (pow.f64 (cos.f64 a) 2)) r) (.f64 (/.f64 r (pow.f64 (cos.f64 a) 2)) (sin.f64 a))) b))) (.f64 (pow.f64 b 3) (+.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 3)) (.f64 r r)) (fma.f64 r (fma.f64 (/.f64 1 (cos.f64 a)) 1/3 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (.f64 1/6 (pow.f64 (/.f64 r (cos.f64 a)) 3)))))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)
(exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)
(exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)
(exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)
(exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))))
(pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 b))) r)
(+.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))) (pow.f64 (cos.f64 b) 2)))
(+.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r a)))))
(+.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))) (.f64 (/.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a))))
(+.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 b))) r) (/.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 b))) r) (/.f64 (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r a)) (pow.f64 (sin.f64 b) 2))))
(+.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (+.f64 (.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (+.f64 (.f64 -1 (.f64 (+.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)))) r)) (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 4)))) (pow.f64 a 2))) (/.f64 (.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r))) (pow.f64 (cos.f64 b) 2))))
(+.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (fma.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (.f64 a a) (fma.f64 -1 (.f64 r (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 1/2 (/.f64 (pow.f64 (sin.f64 b) 4) (/.f64 (pow.f64 (cos.f64 b) 4) (.f64 r r)))))) (/.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r a))))))
(+.f64 (.f64 (/.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r a))) (.f64 (+.f64 (.f64 a (.f64 a (-.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (.f64 r r))) (.f64 r (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))))) 1) (exp.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 b))) r) (/.f64 (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r a)) (pow.f64 (sin.f64 b) 2))) (.f64 (+.f64 (.f64 a (.f64 a (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (.f64 r r)) (.f64 (-.f64 (.f64 (/.f64 -1/2 (cos.f64 b)) (sin.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) (neg.f64 r))))) 1) (pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 b))) r)))
(+.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (+.f64 (.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (+.f64 (.f64 -1 (.f64 (+.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)))) r)) (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 r 2)) (pow.f64 (cos.f64 b) 4)))) (pow.f64 a 2))) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 (+.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)))) (pow.f64 r 2))) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 -1 (.f64 r (+.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 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 6) (pow.f64 r 3)) (pow.f64 (cos.f64 b) 6))))) (.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (pow.f64 a 3))) (/.f64 (.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r))) (pow.f64 (cos.f64 b) 2)))))
(+.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (fma.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (.f64 a a) (fma.f64 -1 (.f64 r (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 1/2 (/.f64 (pow.f64 (sin.f64 b) 4) (/.f64 (pow.f64 (cos.f64 b) 4) (.f64 r r)))))) (fma.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 (.f64 r r) (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))))))) (fma.f64 -1 (.f64 r (+.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 1/6 (/.f64 (pow.f64 (sin.f64 b) 6) (/.f64 (pow.f64 (cos.f64 b) 6) (pow.f64 r 3)))))) (.f64 (pow.f64 a 3) (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r a)))))))
(+.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 r) (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 (sin.f64 b) (cos.f64 b))) (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (/.f64 1/6 (/.f64 (pow.f64 (cos.f64 b) 6) (.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 6))))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (.f64 r r) (-.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (.f64 (pow.f64 a 3) (exp.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))))) (.f64 (/.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r a)))) (.f64 (+.f64 (.f64 a (.f64 a (-.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (.f64 r r))) (.f64 r (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))))) 1) (exp.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))))))
(+.f64 (.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 b))) r) (+.f64 (+.f64 (.f64 a (.f64 a (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) (.f64 r r)) (.f64 (-.f64 (.f64 (/.f64 -1/2 (cos.f64 b)) (sin.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) (neg.f64 r))))) 1) (.f64 (-.f64 (.f64 (/.f64 1/6 (pow.f64 (cos.f64 b) 6)) (.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 6))) (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (.f64 r r) (-.f64 (.f64 (/.f64 -1/2 (cos.f64 b)) (sin.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)))) (.f64 r (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 (/.f64 -1/2 (cos.f64 b)) (sin.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3))))))) (pow.f64 a 3)))) (/.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 b))) r) (/.f64 (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r a)) (pow.f64 (sin.f64 b) 2))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)
(exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a)))))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)
(exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a)))))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)
(exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a)))))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)
(exp.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a)))))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)

eval1.4s (9%)

Compiler: Compiled 36930 to 12123 computations (67.2% saved)

prune556.0ms (3.6%)

Pruning

80 alts after pruning (77 fresh and 3 done)

	Pruned	Kept	Total
New	1191	59	1250
Fresh	27	18	45
Picked	1	0	1
Done	2	3	5
Total	1221	80	1301

Error

0.0b

Counts

1301 → 80

Alt Table

Click to see full alt table

Status	Error	Program
	14.7b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3) 1/3)))))
	14.2b	(.f64 (sin.f64 b) (.f64 r (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (+.f64 a b)))) 3)))
	31.6b	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
	27.9b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 a))))
	31.0b	(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
▶	54.0b	(*.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
	33.1b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sqrt.f64 (sin.f64 a)) (.f64 (sin.f64 b) (sqrt.f64 (sin.f64 a)))))) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 a))) (.f64 (sin.f64 b) (sqrt.f64 (sin.f64 a))) (.f64 (sqrt.f64 (sin.f64 a)) (.f64 (sin.f64 b) (sqrt.f64 (sin.f64 a))))))))
	31.1b	(*.f64 (/.f64 b (cos.f64 a)) r)
	24.1b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
	31.0b	(.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (/.f64 b (/.f64 (cos.f64 a) (sin.f64 a))) 1) (/.f64 r (cos.f64 a))) (.f64 (.f64 (/.f64 r (cos.f64 a)) (-.f64 -1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)))) (*.f64 b b))))
	27.5b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))
	0.4b	(.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))))))
	27.9b	(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 a)))))
	24.1b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2))))))
	24.1b	(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 b)))))
	13.7b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))
	38.4b	(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))))
	27.9b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
	44.9b	(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 a b)))
	31.0b	(.f64 r (+.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b))))
	22.8b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	26.4b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (exp.f64 (log.f64 (.f64 (sin.f64 b) (sin.f64 a))))))))
	13.8b	(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) r)))
	27.9b	(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (-.f64 (exp.f64 (cos.f64 a)) 1))))
	13.9b	(*.f64 r (/.f64 (sin.f64 b) (log.f64 (exp.f64 (cos.f64 (+.f64 b a))))))
	42.0b	(*.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 r (cos.f64 (+.f64 a b))))) 1))
	27.9b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
	25.6b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))))
	29.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
	13.8b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
▶	41.3b	(*.f64 r b)
	29.3b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
▶	54.7b	(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))
	31.1b	(/.f64 b (/.f64 (cos.f64 a) r))
	30.1b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (.f64 (cos.f64 a) -1/2) b) (sin.f64 a))))))
	0.3b	(.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)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))
	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	37.3b	(*.f64 r (sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)))
	35.8b	(*.f64 (sin.f64 b) (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 2))
	14.5b	(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3))
	14.6b	(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3))
	30.1b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a)))))))
	0.3b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3))))))
✓	13.8b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
	29.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))))
	31.5b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 b (cos.f64 a)) r)) 3)
	31.0b	(.f64 b (.f64 r (/.f64 1 (cos.f64 a))))
	0.5b	(.f64 r (/.f64 (sin.f64 b) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 b) (cos.f64 a))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
	46.2b	(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) 2))
	47.6b	(*.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 3) 1/3))
	27.9b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	27.5b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))))
	37.6b	(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
	24.1b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	52.2b	(pow.f64 (pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 3) 1/3)
	25.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
	31.1b	(*.f64 (/.f64 r (cos.f64 a)) b)
	0.4b	(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a)))))))
▶	0.3b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))
	50.9b	(pow.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3) 1/3)
	13.9b	(.f64 1/3 (.f64 3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
✓	31.1b	(/.f64 (*.f64 b r) (cos.f64 a))
	14.0b	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3)))
	0.5b	(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a)))))))))
	30.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 a) (-.f64 (.f64 (pow.f64 b 3) 1/6) b)) (.f64 (+.f64 (.f64 (.f64 b b) -1/2) 1) (cos.f64 a)))))
	24.1b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
	24.0b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
	24.1b	(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (-.f64 (exp.f64 (cos.f64 b)) 1))))
	27.5b	(.f64 (sin.f64 b) (.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) -2))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (.f64 (sin.f64 a) 1) (.f64 (sin.f64 b) (.f64 (sin.f64 a) 1)))))
	38.3b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
	54.1b	(log.f64 1)
✓	0.3b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
	0.5b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 3)))))
	18.0b	(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
▶	13.9b	(.f64 3 (.f64 1/3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))

Compiler

Compiled 2820 to 1846 computations (34.5% saved)

localize17.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series28.0ms (0.2%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(.f64 r (/.f64 1 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
3.0ms	b	@	inf	(/.f64 1 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
1.0ms	r	@	0	(.f64 r (/.f64 1 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
1.0ms	b	@	-inf	(.f64 r (/.f64 1 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
1.0ms	b	@	inf	(.f64 r (/.f64 1 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`log-prod_binary64`
361×	`pow2_binary64`
293×	`pow-unpow_binary64`
290×	`prod-diff_binary64`
257×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	78
1	301	70
2	3758	40

Stop Event

1×	node limit

Counts

4 → 111

Calls

Call 1

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

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

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

583×	`times-frac_binary64`
507×	`associate-/l*_binary64`
481×	`associate-*l/_binary64`
452×	`distribute-rgt-in_binary64`
435×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	3502
1	699	3340
2	2472	3229

Stop Event

1×	node limit

Counts

231 → 179

Calls

Call 1

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

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

localize3.0ms (0%)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(.f64 3 (.f64 1/3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	0.3b	(.f64 1/3 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
	0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
	0.1b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
	0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
✓	0.3b	(.f64 1/3 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
✓	0.3b	(.f64 3 (.f64 1/3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	4.5b	(cos.f64 (+.f64 b a))

series12.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(.f64 3 (.f64 1/3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
1.0ms	b	@	0	(.f64 1/3 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
1.0ms	a	@	0	(.f64 1/3 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
1.0ms	b	@	-inf	(.f64 1/3 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
1.0ms	a	@	-inf	(.f64 1/3 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`log-prod_binary64`
583×	`prod-diff_binary64`
247×	`pow1/3_binary64`
245×	`expm1-udef_binary64`
245×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	286	31
2	3570	31

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r))))) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)))) (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 r (sin.f64 b)) 1/3) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 r) (sin.f64 b)) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 r) 1) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 r) (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))))))

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

763×	`associate-r_binary64`
720×	`associate-l_binary64`
579×	`fma-def_binary64`
427×	`times-frac_binary64`
366×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	1985
1	417	1907
2	1489	1853

Stop Event

1×	node limit

Counts

124 → 92

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	4.5b	(cos.f64 (+.f64 a b))
	2.8b	(log.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 a b)))))
	0.2b	(/.f64 r (cos.f64 (+.f64 a b)))
	0.0b	(*.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
✓	0.0b	(*.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
✓	0.2b	(/.f64 r (cos.f64 (+.f64 a b)))
✓	2.8b	(log.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 a b)))))
	4.5b	(cos.f64 (+.f64 a b))

series14.0ms (0.1%)

Counts

3 → 88

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	r	@	0	(log.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 a b)))))
2.0ms	b	@	inf	(log.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 a b)))))
0.0ms	a	@	0	(*.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
0.0ms	a	@	0	(log.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 a b)))))
0.0ms	b	@	0	(*.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 a b))))))

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`prod-diff_binary64`
565×	`log-prod_binary64`
304×	`pow2_binary64`
228×	`fma-def_binary64`
212×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	221	32
2	3001	32

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

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

Outputs

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

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

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

675×	`fma-def_binary64`
515×	`times-frac_binary64`
434×	`associate-/l*_binary64`
386×	`associate-*l/_binary64`
361×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	2174
1	460	2088
2	1661	1972

Stop Event

1×	node limit

Counts

211 → 116

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	1.2b	(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))
	1.0b	(pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a)))
	0.1b	(/.f64 (sin.f64 b) (cos.f64 a))
✓	0.1b	(/.f64 (sin.f64 b) (cos.f64 a))
✓	1.0b	(pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a)))
✓	1.2b	(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))

series196.0ms (1.3%)

Counts

3 → 80

Calls

24 calls:

Time	Variable		Point	Expression
38.0ms	a	@	inf	(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))
32.0ms	r	@	inf	(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))
27.0ms	b	@	0	(/.f64 (sin.f64 b) (cos.f64 a))
23.0ms	b	@	-inf	(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))
20.0ms	a	@	-inf	(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

507×	`log-prod_binary64`
394×	`exp-prod_binary64`
302×	`pow-unpow_binary64`
292×	`pow-prod-down_binary64`
270×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	200	32
2	2535	32

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

Inputs
(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))
(pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (cos.f64 a))

Outputs

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

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

811×	`times-frac_binary64`
785×	`distribute-rgt-in_binary64`
774×	`distribute-lft-in_binary64`
530×	`associate-/l*_binary64`
270×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	2189
1	798	1973
2	3298	1735

Stop Event

1×	node limit

Counts

221 → 198

Calls

Call 1

Inputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 a) 2))) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 a) 2))) (pow.f64 r 2))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 a) 2))) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 a) 2))) (pow.f64 r 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 r 3) (+.f64 (.f64 -3 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 a) 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 a) 3)) (.f64 2 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 a) 3))))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a))))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 a) 2))) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 a) 2))) (pow.f64 r 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 r 3) (+.f64 (.f64 -3 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 a) 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 a) 3)) (.f64 2 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 a) 3))))))) (+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (.f64 1/24 (.f64 (pow.f64 r 4) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 a) 4)) (+.f64 (.f64 -4 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 a) 4))) (+.f64 (.f64 -3 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 a) 4))) (+.f64 (.f64 12 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 a) 4))) (.f64 -6 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 a) 4))))))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 1/2 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2))) (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2))))))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3))) (+.f64 (.f64 6 (+.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (.f64 1/6 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3))))) (.f64 2 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3))) (.f64 1/2 (.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2))) (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2)))))))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3))) (+.f64 (.f64 6 (+.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (.f64 1/6 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3))))) (.f64 2 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2))) (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2))))) (.f64 1/24 (.f64 (+.f64 (.f64 12 (/.f64 (pow.f64 r 4) (pow.f64 (cos.f64 a) 4))) (+.f64 (.f64 -3 (/.f64 (pow.f64 r 4) (pow.f64 (cos.f64 a) 4))) (+.f64 (.f64 -6 (/.f64 (pow.f64 r 4) (pow.f64 (cos.f64 a) 4))) (+.f64 (.f64 -24 (/.f64 (.f64 r (+.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (.f64 1/6 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))) (.f64 24 (+.f64 (.f64 1/24 (/.f64 (pow.f64 r 4) (pow.f64 (cos.f64 a) 4))) (*.f64 -1/6 (/.f64 (pow.f64 r 2) (pow.f64 (cos.f64 a) 2))))))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (sin.f64 b) r)
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (.f64 (sin.f64 b) r))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 (sin.f64 b) r) (.f64 1/24 (.f64 (+.f64 (.f64 -3 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) (.f64 24 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b))) r)) (.f64 1/8 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)))))) (pow.f64 a 4)))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 1/720 (.f64 (pow.f64 a 6) (+.f64 (.f64 -360 (.f64 (sin.f64 b) (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b))) r)) (.f64 1/8 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)))) r))) (+.f64 (.f64 30 (.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))) (.f64 720 (+.f64 (.f64 -1/2 (.f64 (sin.f64 b) (.f64 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b))) (pow.f64 r 2)))) (+.f64 (.f64 -1 (.f64 r (+.f64 (.f64 1/48 (sin.f64 b)) (+.f64 (.f64 -1/720 (sin.f64 b)) (.f64 1/2 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b)))))))) (.f64 1/48 (.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)))))))))) (.f64 1/24 (.f64 (+.f64 (.f64 -3 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) (.f64 24 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b))) r)) (.f64 1/8 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)))))) (pow.f64 a 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
1
(+.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(+.f64 1 (+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 a) 2)))))
(+.f64 1 (+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (pow.f64 (cos.f64 a) 3))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)) (pow.f64 (cos.f64 a) 2))))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
1
(+.f64 1 (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 1 (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 r 2) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(+.f64 1 (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 r 2) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) (.f64 (+.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (.f64 1/6 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3)))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (*.f64 (sin.f64 b) r))
(+.f64 (exp.f64 (.f64 (sin.f64 b) r)) (.f64 1/2 (.f64 (exp.f64 (.f64 (sin.f64 b) r)) (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r)))))
(+.f64 (.f64 (exp.f64 (.f64 (sin.f64 b) r)) (.f64 (pow.f64 a 4) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b))) r)) (.f64 1/8 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)))))) (+.f64 (exp.f64 (.f64 (sin.f64 b) r)) (.f64 1/2 (.f64 (exp.f64 (.f64 (sin.f64 b) r)) (.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 b) (.f64 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b))) (pow.f64 r 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b)))) (+.f64 (.f64 1/48 (sin.f64 b)) (.f64 -1/720 (sin.f64 b)))) r)))) (.f64 (exp.f64 (.f64 (sin.f64 b) r)) (pow.f64 a 6))) (+.f64 (.f64 (exp.f64 (.f64 (sin.f64 b) r)) (.f64 (pow.f64 a 4) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b))) r)) (.f64 1/8 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)))))) (+.f64 (exp.f64 (.f64 (sin.f64 b) r)) (.f64 1/2 (.f64 (exp.f64 (.f64 (sin.f64 b) r)) (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r)))))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (*.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a))) (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a)))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a))) (*.f64 -1/5040 (/.f64 (pow.f64 b 7) (cos.f64 a))))))
(sin.f64 b)
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2))) (sin.f64 b))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2))) (+.f64 (sin.f64 b) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b)))))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2))) (+.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/48 (sin.f64 b)) (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b)))) (.f64 -1/720 (sin.f64 b)))))) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (sin.f64 b)) (*.f64 1/24 (sin.f64 b))))))))

Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 a) 2))) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 a) 2))) (pow.f64 r 2))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)))
(fma.f64 1/2 (.f64 (.f64 0 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 a) 2))) (*.f64 r r)) (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(fma.f64 0 (*.f64 r r) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(+.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) 0)
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 a) 2))) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 a) 2))) (pow.f64 r 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 r 3) (+.f64 (.f64 -3 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 a) 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 a) 3)) (.f64 2 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 a) 3))))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a))))
(fma.f64 1/2 (.f64 (.f64 0 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 a) 2))) (*.f64 r r)) (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(fma.f64 0 (*.f64 r r) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(+.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) 0)
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 a) 2))) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 a) 2))) (pow.f64 r 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 r 3) (+.f64 (.f64 -3 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 a) 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 a) 3)) (.f64 2 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 a) 3))))))) (+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (.f64 1/24 (.f64 (pow.f64 r 4) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 a) 4)) (+.f64 (.f64 -4 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 a) 4))) (+.f64 (.f64 -3 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 a) 4))) (+.f64 (.f64 12 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 a) 4))) (.f64 -6 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 a) 4))))))))))))
(fma.f64 1/2 (.f64 (.f64 0 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 a) 2))) (.f64 r r)) (+.f64 (fma.f64 1/6 (.f64 (pow.f64 r 3) (fma.f64 -3 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 a) 3)) (.f64 3 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 a) 3))))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))) (.f64 1/24 (.f64 (pow.f64 r 4) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 a) 4)) (fma.f64 -4 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 a) 4)) (fma.f64 -3 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 a) 4)) (.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 a) 4)) 6))))))))
(fma.f64 0 (.f64 r r) (fma.f64 1/6 (.f64 (pow.f64 r 3) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 a) 3)) 0)) (fma.f64 1/24 (.f64 (pow.f64 r 4) (+.f64 (/.f64 -3 (/.f64 (pow.f64 (cos.f64 a) 4) (pow.f64 (sin.f64 b) 4))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 a) 4)) 3))) (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))))
(+.f64 (fma.f64 1/24 (.f64 (pow.f64 r 4) (.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 a) 4)) 0)) (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))) 0)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
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1
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(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
1
(+.f64 1 (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) 1)
(+.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 1)
(+.f64 1 (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 r 2) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(+.f64 1 (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (.f64 1/2 (/.f64 (.f64 r r) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b b))))))
(+.f64 1 (fma.f64 1/2 (.f64 (.f64 b b) (/.f64 (.f64 r r) (pow.f64 (cos.f64 a) 2))) (.f64 (/.f64 r (cos.f64 a)) b)))
(+.f64 1 (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 r 2) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) (.f64 (+.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (.f64 1/6 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3)))))
(+.f64 1 (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (fma.f64 1/2 (/.f64 (.f64 r r) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b b))) (.f64 (fma.f64 -1/6 (/.f64 r (cos.f64 a)) (.f64 1/6 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3)))))
(+.f64 (.f64 (/.f64 r (cos.f64 a)) b) (+.f64 (fma.f64 (fma.f64 1/6 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3)) (.f64 -1/6 (/.f64 r (cos.f64 a)))) (pow.f64 b 3) (/.f64 1/2 (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 r (*.f64 b b)))))) 1))
(+.f64 (.f64 (/.f64 r (cos.f64 a)) b) (+.f64 1 (fma.f64 (fma.f64 1/6 (pow.f64 (/.f64 r (cos.f64 a)) 3) (.f64 -1/6 (/.f64 r (cos.f64 a)))) (pow.f64 b 3) (/.f64 1/2 (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 r (*.f64 b b))))))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (*.f64 (sin.f64 b) r))
(pow.f64 (exp.f64 (sin.f64 b)) r)
(pow.f64 (exp.f64 r) (sin.f64 b))
(+.f64 (exp.f64 (.f64 (sin.f64 b) r)) (.f64 1/2 (.f64 (exp.f64 (.f64 (sin.f64 b) r)) (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r)))))
(+.f64 (pow.f64 (exp.f64 (sin.f64 b)) r) (.f64 1/2 (.f64 (.f64 (sin.f64 b) (.f64 r (*.f64 a a))) (pow.f64 (exp.f64 (sin.f64 b)) r))))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 (.f64 r (.f64 a a)) (pow.f64 (exp.f64 r) (sin.f64 b)))) (pow.f64 (exp.f64 r) (sin.f64 b)))
(.f64 (+.f64 (.f64 (sin.f64 b) (.f64 (.f64 r (*.f64 a a)) 1/2)) 1) (pow.f64 (exp.f64 r) (sin.f64 b)))
(+.f64 (.f64 (exp.f64 (.f64 (sin.f64 b) r)) (.f64 (pow.f64 a 4) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b))) r)) (.f64 1/8 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)))))) (+.f64 (exp.f64 (.f64 (sin.f64 b) r)) (.f64 1/2 (.f64 (exp.f64 (.f64 (sin.f64 b) r)) (.f64 (sin.f64 b) (*.f64 (pow.f64 a 2) r))))))
(fma.f64 (pow.f64 (exp.f64 (sin.f64 b)) r) (.f64 (fma.f64 -1 (.f64 r (.f64 (sin.f64 b) -5/24)) (.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r)) 1/8)) (pow.f64 a 4)) (+.f64 (pow.f64 (exp.f64 (sin.f64 b)) r) (.f64 1/2 (.f64 (.f64 (sin.f64 b) (.f64 r (*.f64 a a))) (pow.f64 (exp.f64 (sin.f64 b)) r)))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (.f64 r (.f64 a a)) (pow.f64 (exp.f64 r) (sin.f64 b))))) (.f64 (+.f64 (.f64 (-.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 (.f64 r r) 1/8)) (.f64 (sin.f64 b) (.f64 -5/24 r))) (pow.f64 a 4)) 1) (pow.f64 (exp.f64 r) (sin.f64 b))))
(.f64 (pow.f64 (exp.f64 r) (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (.f64 (.f64 r (.f64 a a)) 1/2)) (+.f64 (.f64 (.f64 r (-.f64 (.f64 (.f64 (pow.f64 (sin.f64 b) 2) 1/8) r) (.f64 (sin.f64 b) -5/24))) (pow.f64 a 4)) 1)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 b) (.f64 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b))) (pow.f64 r 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b)))) (+.f64 (.f64 1/48 (sin.f64 b)) (.f64 -1/720 (sin.f64 b)))) r)))) (.f64 (exp.f64 (.f64 (sin.f64 b) r)) (pow.f64 a 6))) (+.f64 (.f64 (exp.f64 (.f64 (sin.f64 b) r)) (.f64 (pow.f64 a 4) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b))) r)) (.f64 1/8 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2)))))) (+.f64 (exp.f64 (.f64 (sin.f64 b) r)) (.f64 1/2 (.f64 (exp.f64 (.f64 (sin.f64 b) r)) (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r)))))))
(fma.f64 (fma.f64 -1/2 (.f64 (sin.f64 b) (.f64 (.f64 r r) (.f64 (sin.f64 b) -5/24))) (fma.f64 1/48 (.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3)) (neg.f64 (.f64 r (fma.f64 1/2 (.f64 (sin.f64 b) -5/24) (.f64 (sin.f64 b) 7/360)))))) (.f64 (pow.f64 a 6) (pow.f64 (exp.f64 (sin.f64 b)) r)) (fma.f64 (pow.f64 (exp.f64 (sin.f64 b)) r) (.f64 (fma.f64 -1 (.f64 r (.f64 (sin.f64 b) -5/24)) (.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r)) 1/8)) (pow.f64 a 4)) (+.f64 (pow.f64 (exp.f64 (sin.f64 b)) r) (.f64 1/2 (.f64 (.f64 (sin.f64 b) (.f64 r (.f64 a a))) (pow.f64 (exp.f64 (sin.f64 b)) r))))))
(fma.f64 (fma.f64 -1/2 (.f64 (.f64 r r) (.f64 (pow.f64 (sin.f64 b) 2) -5/24)) (-.f64 (.f64 (pow.f64 (sin.f64 b) 3) (.f64 (pow.f64 r 3) 1/48)) (.f64 r (fma.f64 (sin.f64 b) 7/360 (.f64 (sin.f64 b) -5/48))))) (.f64 (pow.f64 a 6) (pow.f64 (exp.f64 r) (sin.f64 b))) (+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (.f64 r (.f64 a a)) (pow.f64 (exp.f64 r) (sin.f64 b))))) (.f64 (+.f64 (.f64 (-.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 (.f64 r r) 1/8)) (.f64 (sin.f64 b) (.f64 -5/24 r))) (pow.f64 a 4)) 1) (pow.f64 (exp.f64 r) (sin.f64 b)))))
(fma.f64 (-.f64 (.f64 (.f64 r r) (+.f64 (.f64 (.f64 (pow.f64 (sin.f64 b) 3) 1/48) r) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 b) 2) -5/24)))) (.f64 r (.f64 (sin.f64 b) -61/720))) (.f64 (pow.f64 a 6) (pow.f64 (exp.f64 r) (sin.f64 b))) (.f64 (pow.f64 (exp.f64 r) (sin.f64 b)) (+.f64 (.f64 (sin.f64 b) (.f64 (.f64 r (.f64 a a)) 1/2)) (+.f64 (.f64 (.f64 r (-.f64 (.f64 (.f64 (pow.f64 (sin.f64 b) 2) 1/8) r) (*.f64 (sin.f64 b) -5/24))) (pow.f64 a 4)) 1))))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(exp.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))
(exp.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (*.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a))))
(fma.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a)) (/.f64 b (cos.f64 a)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a))) (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a)))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a)) (*.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a)))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a)) (/.f64 (*.f64 1/120 (pow.f64 b 5)) (cos.f64 a))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a)) (*.f64 (/.f64 1/120 (cos.f64 a)) (pow.f64 b 5))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a))) (*.f64 -1/5040 (/.f64 (pow.f64 b 7) (cos.f64 a))))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a)) (fma.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a)) (*.f64 -1/5040 (/.f64 (pow.f64 b 7) (cos.f64 a))))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a)) (fma.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a)) (/.f64 -1/5040 (/.f64 (cos.f64 a) (pow.f64 b 7))))))
(sin.f64 b)
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2))) (sin.f64 b))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 a a)) (sin.f64 b))
(fma.f64 (.f64 (sin.f64 b) 1/2) (.f64 a a) (sin.f64 b))
(.f64 (+.f64 (.f64 1/2 (*.f64 a a)) 1) (sin.f64 b))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2))) (+.f64 (sin.f64 b) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b)))))))
(+.f64 (fma.f64 1/2 (.f64 (sin.f64 b) (.f64 a a)) (sin.f64 b)) (neg.f64 (.f64 (.f64 (sin.f64 b) -5/24) (pow.f64 a 4))))
(-.f64 (fma.f64 (.f64 (sin.f64 b) 1/2) (.f64 a a) (sin.f64 b)) (.f64 (sin.f64 b) (.f64 -5/24 (pow.f64 a 4))))
(+.f64 (.f64 (pow.f64 a 4) (.f64 (sin.f64 b) 5/24)) (.f64 (+.f64 (.f64 1/2 (*.f64 a a)) 1) (sin.f64 b)))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2))) (+.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/48 (sin.f64 b)) (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b)))) (.f64 -1/720 (sin.f64 b)))))) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (sin.f64 b)) (*.f64 1/24 (sin.f64 b))))))))
(+.f64 (fma.f64 1/2 (.f64 (sin.f64 b) (.f64 a a)) (sin.f64 b)) (fma.f64 -1 (.f64 (pow.f64 a 6) (fma.f64 1/2 (.f64 (sin.f64 b) -5/24) (.f64 (sin.f64 b) 7/360))) (neg.f64 (.f64 (*.f64 (sin.f64 b) -5/24) (pow.f64 a 4)))))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 a a)) (fma.f64 -1 (fma.f64 (pow.f64 a 6) (fma.f64 (sin.f64 b) 7/360 (.f64 (sin.f64 b) -5/48)) (.f64 (sin.f64 b) (*.f64 -5/24 (pow.f64 a 4)))) (sin.f64 b)))
(-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (sin.f64 b)) (fma.f64 (pow.f64 a 6) (.f64 (sin.f64 b) -61/720) (.f64 (sin.f64 b) (.f64 -5/24 (pow.f64 a 4)))))

eval431.0ms (2.8%)

Compiler: Compiled 19732 to 8190 computations (58.5% saved)

prune427.0ms (2.8%)

Pruning

92 alts after pruning (85 fresh and 7 done)

	Pruned	Kept	Total
New	781	33	814
Fresh	20	52	72
Picked	0	1	1
Done	1	6	7
Total	802	92	894

Error

0.0b

Counts

894 → 92

Alt Table

Click to see full alt table

Status	Error	Program
	35.8b	(*.f64 (sin.f64 b) (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 2))
	14.7b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3) 1/3)))))
	31.6b	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
	27.9b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 a))))
	31.0b	(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
	33.1b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sqrt.f64 (sin.f64 a)) (.f64 (sin.f64 b) (sqrt.f64 (sin.f64 a)))))) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 a))) (.f64 (sin.f64 b) (sqrt.f64 (sin.f64 a))) (.f64 (sqrt.f64 (sin.f64 a)) (.f64 (sin.f64 b) (sqrt.f64 (sin.f64 a))))))))
	31.1b	(*.f64 (/.f64 b (cos.f64 a)) r)
	24.1b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
	14.0b	(.f64 3 (/.f64 (.f64 (*.f64 1/3 r) (sin.f64 b)) (cos.f64 (+.f64 b a))))
	14.5b	(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3))
	37.9b	(*.f64 (sin.f64 b) r)
	27.5b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))
	0.4b	(.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))))))
	47.6b	(*.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 3) 1/3))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2))))))
	24.1b	(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 b)))))
	13.7b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))
	27.9b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
	30.9b	(.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (/.f64 (sin.f64 a) (/.f64 (cos.f64 a) b)) 1) (/.f64 r (cos.f64 a))) (.f64 b (.f64 b (*.f64 (/.f64 r (cos.f64 a)) (-.f64 -1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2))))))))
	44.9b	(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 a b)))
	51.7b	(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) 3)) 1/3))
	46.2b	(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 2))
	31.0b	(.f64 r (+.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b))))
	13.9b	(.f64 (sin.f64 b) (.f64 r (cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 3))))
	22.8b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	26.4b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (exp.f64 (log.f64 (.f64 (sin.f64 b) (sin.f64 a))))))))
	14.0b	(.f64 3 (/.f64 (.f64 1/3 r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	38.3b	(.f64 3 (exp.f64 (log.f64 (.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
	42.0b	(*.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 r (cos.f64 (+.f64 a b))))) 1))
	43.3b	(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
	29.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
▶	13.8b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
✓	41.3b	(*.f64 r b)
	13.9b	(.f64 (sin.f64 b) (.f64 1/3 (*.f64 3 (/.f64 r (cos.f64 (+.f64 a b))))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
✓	54.7b	(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))
	31.1b	(/.f64 b (/.f64 (cos.f64 a) r))
	30.1b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (.f64 (cos.f64 a) -1/2) b) (sin.f64 a))))))
	0.3b	(.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)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))
	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	37.3b	(*.f64 r (sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)))
▶	37.6b	(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
	54.0b	(log.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) 1))
	0.3b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))))
	48.4b	(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 2))
	30.1b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a)))))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3))))))
✓	13.8b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
	14.6b	(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3))
	29.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))))
	31.5b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 b (cos.f64 a)) r)) 3)
	31.0b	(.f64 b (.f64 r (/.f64 1 (cos.f64 a))))
	0.5b	(.f64 r (/.f64 (sin.f64 b) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 b) (cos.f64 a))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
	27.9b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
▶	54.1b	(log.f64 1)
	25.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
	27.5b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))))
	23.3b	(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))))
	54.3b	(*.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 r (cos.f64 a)))))
	24.1b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
▶	28.5b	(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
	31.1b	(*.f64 (/.f64 r (cos.f64 a)) b)
	0.4b	(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a)))))))
✓	0.3b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))
	50.9b	(pow.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3) 1/3)
✓	31.1b	(/.f64 (*.f64 b r) (cos.f64 a))
	43.4b	(pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
	28.0b	(.f64 1/3 (.f64 3 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
	14.0b	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3)))
	0.5b	(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a)))))))))
	30.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 a) (-.f64 (.f64 (pow.f64 b 3) 1/6) b)) (.f64 (+.f64 (.f64 (.f64 b b) -1/2) 1) (cos.f64 a)))))
	24.1b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
	24.0b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
	24.1b	(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (-.f64 (exp.f64 (cos.f64 b)) 1))))
	27.5b	(.f64 (sin.f64 b) (.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) -2))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (.f64 (sin.f64 a) 1) (.f64 (sin.f64 b) (.f64 (sin.f64 a) 1)))))
	24.1b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
	38.3b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
	28.3b	(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))) 3)
✓	0.3b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
	0.5b	(.f64 3 (.f64 1/3 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
	13.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	27.9b	(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
	0.5b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 3)))))
	28.0b	(.f64 3 (.f64 1/3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
	18.0b	(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
▶	0.3b	(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
✓	13.9b	(.f64 3 (.f64 1/3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	51.7b	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 3) 1/3)
	50.6b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))) 1)
	31.2b	(.f64 3 (.f64 1/3 (*.f64 r (/.f64 b (cos.f64 a)))))

Compiler

Compiled 3097 to 2065 computations (33.3% saved)

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series144.0ms (0.9%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
130.0ms	b	@	inf	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
1.0ms	r	@	0	(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	r	@	inf	(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	a	@	inf	(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	a	@	-inf	(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`log-prod_binary64`
604×	`fma-def_binary64`
311×	`fma-neg_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	65
1	297	29
2	4368	29

Stop Event

1×	node limit

Counts

3 → 246

Calls

Call 1

Inputs

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

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

(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))

Outputs

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

simplify121.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

495×	`times-frac_binary64`
432×	`associate-/l*_binary64`
380×	`associate-*l/_binary64`
347×	`associate-*r/_binary64`
317×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	2760
1	517	2690
2	1887	2622
3	7968	2622

Stop Event

1×	node limit

Counts

342 → 296

Calls

Call 1

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

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

localize1.0ms (0%)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	4.5b	(cos.f64 (+.f64 a b))
	0.3b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
	0.2b	(/.f64 1 (cos.f64 (+.f64 a b)))
	0.1b	(*.f64 r (sin.f64 b))
	0.1b	(*.f64 r (sin.f64 b))
	0.2b	(/.f64 1 (cos.f64 (+.f64 a b)))
✓	0.3b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
	4.5b	(cos.f64 (+.f64 a b))

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log-prod_binary64`
579×	`prod-diff_binary64`
313×	`pow2_binary64`
222×	`fma-def_binary64`
220×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	236	14
2	3184	14

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

555×	`associate-r_binary64`
533×	`associate-l_binary64`
375×	`fma-def_binary64`
372×	`times-frac_binary64`
321×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	936
1	326	896
2	1126	869
3	7148	856

Stop Event

1×	node limit

Counts

72 → 55

Calls

Call 1

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

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	4.5b	(cos.f64 (+.f64 a b))
	3.1b	(exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b)))))
	0.2b	(/.f64 r (cos.f64 (+.f64 a b)))
	0.1b	(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
✓	0.1b	(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
	0.2b	(/.f64 r (cos.f64 (+.f64 a b)))
✓	3.1b	(exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b)))))
	4.5b	(cos.f64 (+.f64 a b))

series7.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b)))))
0.0ms	b	@	0	(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
0.0ms	a	@	0	(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
0.0ms	b	@	0	(exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b)))))
0.0ms	r	@	0	(exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b)))))

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`prod-diff_binary64`
565×	`log-prod_binary64`
304×	`pow2_binary64`
223×	`fma-def_binary64`
212×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	223	23
2	3013	23

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

675×	`fma-def_binary64`
515×	`times-frac_binary64`
434×	`associate-/l*_binary64`
386×	`associate-*l/_binary64`
361×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1645
1	460	1582
2	1661	1506

Stop Event

1×	node limit

Counts

170 → 133

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 r)
	0.6b	(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
	0.4b	(*.f64 (cbrt.f64 r) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))))
	0.1b	(/.f64 (sin.f64 b) (cos.f64 a))
✓	0.4b	(*.f64 (cbrt.f64 r) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))))
✓	0.6b	(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
✓	0.6b	(cbrt.f64 r)
✓	0.6b	(cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))

series47.0ms (0.3%)

Counts

4 → 60

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
5.0ms	a	@	0	(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
5.0ms	b	@	-inf	(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
3.0ms	a	@	inf	(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
3.0ms	b	@	inf	(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`log-prod_binary64`
370×	`pow-prod-down_binary64`
297×	`pow2_binary64`
250×	`pow-unpow_binary64`
213×	`pow-to-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	251	37
2	2976	37

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))
(cbrt.f64 r)
(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
(*.f64 (cbrt.f64 r) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 b)) (/.f64 1 (cbrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (cos.f64 a) (sin.f64 b)) -1/6) (pow.f64 (/.f64 (cos.f64 a) (sin.f64 b)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (cos.f64 a) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (cos.f64 a)) (cbrt.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (sin.f64 b))) (cbrt.f64 (neg.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (sin.f64 b))) (neg.f64 (cbrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 a) (sin.f64 b)) -2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 a) (sin.f64 b)) -3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 a) (sin.f64 b)) -1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 a) (sin.f64 b)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) (sin.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (cos.f64 a)) (cbrt.f64 (sin.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 a))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 a))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 r))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 r)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 r)) (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2) (cbrt.f64 (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 r 1/6) (pow.f64 r 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 r 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 r r) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 r 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 r) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 r) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 r 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 r))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 r) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 r)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 r))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 r) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 r)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 r) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (cbrt.f64 r)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 r)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))) (.f64 (cbrt.f64 r) (pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> 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(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 r) (.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 1/6) (pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) (sqrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 5/2) (pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))) 2)) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r (sqrt.f64 (/.f64 (sin.f64 b) 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a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 r)) (cbrt.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 r) (cbrt.f64 (sin.f64 b))) (cbrt.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))))))))

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

783×	`associate-+l+_binary64`
729×	`associate-+r+_binary64`
645×	`distribute-rgt-out_binary64`
466×	`associate-/l/_binary64`
381×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	143	1524
1	553	1347
2	2475	1250
3	5865	1203
4	6875	1191

Stop Event

1×	node limit

Counts

201 → 170

Calls

Call 1

Inputs
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(pow.f64 (sin.f64 b) 1/3)
(+.f64 (pow.f64 (sin.f64 b) 1/3) (.f64 1/6 (.f64 (pow.f64 (*.f64 (sin.f64 b) 1) 1/3) (pow.f64 a 2))))
(+.f64 (pow.f64 (sin.f64 b) 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (sin.f64 b) 1) 1/3) (pow.f64 a 2))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 b) 2)) 1/3) (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (sin.f64 b)) (+.f64 (.f64 1/12 (sin.f64 b)) (*.f64 1/24 (sin.f64 b)))))))))
(+.f64 (pow.f64 (sin.f64 b) 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (sin.f64 b) 1) 1/3) (pow.f64 a 2))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 b) 2)) 1/3) (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (sin.f64 b)) (+.f64 (.f64 1/12 (sin.f64 b)) (.f64 1/24 (sin.f64 b))))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 b) 2)) 1/3) (.f64 (pow.f64 a 6) (+.f64 (.f64 1/48 (sin.f64 b)) (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b)))) (+.f64 (.f64 -1/720 (sin.f64 b)) (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/4 (sin.f64 b)) (+.f64 (.f64 1/12 (sin.f64 b)) (.f64 1/24 (sin.f64 b))))) (.f64 1/216 (sin.f64 b))))))))))))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)))
(.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/3 (.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))) (.f64 1/6 (.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))))) (.f64 (*.f64 (sin.f64 b) r) (pow.f64 1 1/3)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/3 (.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))) (.f64 1/6 (.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))))) (+.f64 (.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3)) (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 b) (.f64 1 r)) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 b) r)) 1/3) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/12 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))))) (.f64 1/36 (pow.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 1 (pow.f64 r 2))) 1/3)))) (+.f64 (.f64 1/18 (.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/12 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))))))))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/3 (.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))) (.f64 1/6 (.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))))) (+.f64 (.f64 (pow.f64 a 6) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/12 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (+.f64 (.f64 -1/720 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))) (+.f64 (.f64 1/216 (.f64 (sin.f64 b) r)) (.f64 1/48 (.f64 (sin.f64 b) r)))))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/12 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))))) (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 b) (.f64 1 r)) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 b) r)) 1/3) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/12 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 b) r)) 1/3) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/12 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (+.f64 (.f64 -1/720 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))) (+.f64 (.f64 1/216 (.f64 (sin.f64 b) r)) (.f64 1/48 (.f64 (sin.f64 b) r)))))))))) (.f64 1/6 (.f64 (pow.f64 (.f64 (sin.f64 b) (.f64 1 r)) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 b) r)) 1/3) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/12 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))))) (.f64 1/36 (pow.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 1 (pow.f64 r 2))) 1/3))))))))) (+.f64 (.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3)) (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 b) (.f64 1 r)) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 b) r)) 1/3) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/12 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))))) (.f64 1/36 (pow.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 1 (pow.f64 r 2))) 1/3)))) (+.f64 (.f64 1/18 (.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/12 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))))))))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (sin.f64 b) (.f64 1 r)) 1/3) (pow.f64 a 2))) (pow.f64 (*.f64 (sin.f64 b) r) 1/3))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) 1/3) (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/12 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (sin.f64 b) (.f64 1 r)) 1/3) (pow.f64 a 2))) (pow.f64 (*.f64 (sin.f64 b) r) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) 1/3) (.f64 (pow.f64 a 6) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/12 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (+.f64 (.f64 -1/720 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))) (+.f64 (.f64 1/216 (.f64 (sin.f64 b) r)) (.f64 1/48 (.f64 (sin.f64 b) r))))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) 1/3) (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/12 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (sin.f64 b) (.f64 1 r)) 1/3) (pow.f64 a 2))) (pow.f64 (*.f64 (sin.f64 b) r) 1/3))))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)

Outputs
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))
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(cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))
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(cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))
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(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)))
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(fma.f64 (.f64 a a) (.f64 (sin.f64 b) (.f64 r 1/2)) (fma.f64 (pow.f64 a 6) (fma.f64 -1/3 (+.f64 (.f64 (.f64 (sin.f64 b) r) -17/216) (.f64 r (.f64 (sin.f64 b) 29/720))) (fma.f64 (.f64 (.f64 (sin.f64 b) -1/8) r) -1/9 (.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (+.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 r) (sin.f64 b))) (+.f64 (.f64 (.f64 (.f64 (sin.f64 b) -1/8) r) -1/9) (.f64 -2/3 (+.f64 (.f64 (.f64 (sin.f64 b) r) -17/216) (.f64 r (.f64 (sin.f64 b) 29/720)))))) (.f64 1/6 (fma.f64 1/36 (cbrt.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 r) (sin.f64 b))) (.f64 (.f64 (.f64 (sin.f64 b) -1/8) r) -2/3)))))))) (fma.f64 (pow.f64 a 4) (fma.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (fma.f64 1/36 (cbrt.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 r) (sin.f64 b))) (.f64 (.f64 (.f64 (sin.f64 b) -1/8) r) -2/3))) (.f64 (.f64 (sin.f64 b) r) 7/72)) (*.f64 (sin.f64 b) r))))
(fma.f64 (.f64 a a) (.f64 (sin.f64 b) (.f64 r 1/2)) (fma.f64 (pow.f64 a 6) (fma.f64 -1/3 (+.f64 (.f64 (.f64 (sin.f64 b) r) -17/216) (.f64 (sin.f64 b) (.f64 r 29/720))) (fma.f64 (.f64 (.f64 (sin.f64 b) -1/8) r) -1/9 (.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (+.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 r) (sin.f64 b))) (+.f64 (.f64 (.f64 (.f64 (sin.f64 b) -1/8) r) -1/9) (.f64 -2/3 (+.f64 (.f64 (.f64 (sin.f64 b) r) -17/216) (.f64 (sin.f64 b) (.f64 r 29/720)))))) (.f64 1/6 (fma.f64 1/36 (cbrt.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 r) (sin.f64 b))) (.f64 (sin.f64 b) (.f64 1/12 r))))))))) (fma.f64 (pow.f64 a 4) (fma.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (fma.f64 1/36 (cbrt.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 r) (sin.f64 b))) (.f64 (sin.f64 b) (.f64 1/12 r)))) (.f64 (sin.f64 b) (.f64 r 7/72))) (*.f64 (sin.f64 b) r))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (pow.f64 1 1/3))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(cbrt.f64 (*.f64 (sin.f64 b) r))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (sin.f64 b) (.f64 1 r)) 1/3) (pow.f64 a 2))) (pow.f64 (*.f64 (sin.f64 b) r) 1/3))
(fma.f64 1/6 (.f64 (.f64 a a) (cbrt.f64 (.f64 (sin.f64 b) r))) (cbrt.f64 (.f64 (sin.f64 b) r)))
(.f64 (+.f64 (.f64 1/6 (.f64 a a)) 1) (cbrt.f64 (.f64 (sin.f64 b) r)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) 1/3) (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/12 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (sin.f64 b) (.f64 1 r)) 1/3) (pow.f64 a 2))) (pow.f64 (*.f64 (sin.f64 b) r) 1/3)))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r)))) (.f64 (pow.f64 a 4) (fma.f64 1/24 (.f64 (sin.f64 b) r) (.f64 (.f64 (sin.f64 b) r) -1/6)))) (fma.f64 1/6 (.f64 (.f64 a a) (cbrt.f64 (.f64 (sin.f64 b) r))) (cbrt.f64 (*.f64 (sin.f64 b) r))))
(fma.f64 -1/3 (.f64 (.f64 (.f64 (sin.f64 b) -1/8) r) (.f64 (pow.f64 a 4) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 b) 2)) (.f64 r r))))) (fma.f64 1/6 (.f64 (.f64 a a) (cbrt.f64 (.f64 (sin.f64 b) r))) (cbrt.f64 (*.f64 (sin.f64 b) r))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 a a)) 1) (cbrt.f64 (.f64 (sin.f64 b) r))) (.f64 (.f64 (pow.f64 a 4) (cbrt.f64 (/.f64 (/.f64 1 (.f64 r r)) (pow.f64 (sin.f64 b) 2)))) (.f64 (sin.f64 b) (*.f64 1/24 r))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 a a)) 1) (cbrt.f64 (.f64 (sin.f64 b) r))) (.f64 (.f64 (pow.f64 a 4) (cbrt.f64 (/.f64 1 (.f64 (.f64 r (pow.f64 (sin.f64 b) 2)) r)))) (.f64 (sin.f64 b) (.f64 1/24 r))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) 1/3) (.f64 (pow.f64 a 6) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/12 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (+.f64 (.f64 -1/720 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))) (+.f64 (.f64 1/216 (.f64 (sin.f64 b) r)) (.f64 1/48 (.f64 (sin.f64 b) r))))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) 1/3) (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/12 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (sin.f64 b) (.f64 1 r)) 1/3) (pow.f64 a 2))) (pow.f64 (*.f64 (sin.f64 b) r) 1/3))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r)))) (.f64 (pow.f64 a 6) (fma.f64 -1/3 (fma.f64 1/24 (.f64 (sin.f64 b) r) (.f64 (.f64 (sin.f64 b) r) -1/6)) (fma.f64 -1/720 (.f64 (sin.f64 b) r) (fma.f64 1/2 (.f64 (.f64 (sin.f64 b) r) -5/24) (.f64 (.f64 (sin.f64 b) r) 11/432)))))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r)))) (.f64 (pow.f64 a 4) (fma.f64 1/24 (.f64 (sin.f64 b) r) (.f64 (.f64 (sin.f64 b) r) -1/6)))) (fma.f64 1/6 (.f64 (.f64 a a) (cbrt.f64 (.f64 (sin.f64 b) r))) (cbrt.f64 (*.f64 (sin.f64 b) r)))))
(+.f64 (fma.f64 1/6 (.f64 (.f64 a a) (cbrt.f64 (.f64 (sin.f64 b) r))) (cbrt.f64 (.f64 (sin.f64 b) r))) (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 b) 2)) (.f64 r r)))) (+.f64 (.f64 (pow.f64 a 6) (fma.f64 -1/3 (.f64 (.f64 (sin.f64 b) -1/8) r) (fma.f64 -1/720 (.f64 (sin.f64 b) r) (fma.f64 (.f64 (sin.f64 b) r) 11/432 (.f64 (.f64 (sin.f64 b) r) -5/48))))) (.f64 (pow.f64 a 4) (.f64 (*.f64 (sin.f64 b) -1/8) r)))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 a a)) 1) (cbrt.f64 (.f64 (sin.f64 b) r))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 r r)) (pow.f64 (sin.f64 b) 2))) (+.f64 (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) -1/8) r)) (.f64 (pow.f64 a 6) (+.f64 (.f64 (sin.f64 b) (.f64 1/24 r)) (fma.f64 -1/720 (.f64 (sin.f64 b) r) (.f64 (.f64 (sin.f64 b) r) -17/216))))))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 a a)) 1) (cbrt.f64 (.f64 (sin.f64 b) r))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 r (pow.f64 (sin.f64 b) 2)) r))) (+.f64 (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) -1/8) r)) (.f64 (pow.f64 a 6) (+.f64 (.f64 (.f64 (sin.f64 b) r) -17/216) (.f64 r (.f64 (sin.f64 b) 29/720))))))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 a a)) 1) (cbrt.f64 (.f64 (sin.f64 b) r))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 r (pow.f64 (sin.f64 b) 2)) r))) (+.f64 (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) -1/8) r)) (.f64 (pow.f64 a 6) (+.f64 (.f64 (.f64 (sin.f64 b) r) -17/216) (.f64 (sin.f64 b) (.f64 r 29/720))))))))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))

eval294.0ms (1.9%)

Compiler: Compiled 23081 to 7690 computations (66.7% saved)

prune282.0ms (1.8%)

Pruning

100 alts after pruning (90 fresh and 10 done)

	Pruned	Kept	Total
New	910	40	950
Fresh	30	50	80
Picked	0	1	1
Done	2	9	11
Total	942	100	1042

Error

Counts

1042 → 100

Alt Table

Click to see full alt table

Status	Error	Program
	35.8b	(*.f64 (sin.f64 b) (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 2))
	31.6b	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
	0.4b	(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)))))
	27.9b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 a))))
	31.0b	(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
	31.1b	(*.f64 (/.f64 b (cos.f64 a)) r)
	14.5b	(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3))
	43.4b	(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))) 1/3))
	37.9b	(*.f64 (sin.f64 b) r)
	27.5b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))
	0.4b	(.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))))))
	42.0b	(*.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 r (cos.f64 (+.f64 a b))))) 1))
	14.0b	(.f64 3 (/.f64 (.f64 (*.f64 1/3 r) (sin.f64 b)) (cos.f64 (+.f64 b a))))
	47.6b	(*.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 3) 1/3))
	13.9b	(.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 3)))
	24.1b	(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 b)))))
	13.7b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))
	27.9b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
	0.4b	(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))) (sin.f64 b)))
	44.9b	(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 a b)))
	29.3b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
	46.2b	(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 2))
	43.4b	(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 1/3)) 3)
	0.4b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	38.1b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3)
	31.0b	(.f64 (.f64 b r) (/.f64 1 (cos.f64 (+.f64 a b))))
	13.8b	(*.f64 (sin.f64 b) (/.f64 r (log1p.f64 (expm1.f64 (cos.f64 (+.f64 a b))))))
	14.0b	(.f64 3 (/.f64 (.f64 1/3 r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	43.3b	(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
	27.9b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
	49.5b	(pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 1/3) 3)
	38.3b	(.f64 3 (exp.f64 (log.f64 (.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
	47.0b	(cbrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 3))
	30.1b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a))))))
	29.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
	0.3b	(.f64 (sin.f64 b) (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b)))))
	13.9b	(.f64 (sin.f64 b) (.f64 1/3 (*.f64 3 (/.f64 r (cos.f64 (+.f64 a b))))))
✓	41.3b	(*.f64 r b)
	28.3b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)) 3)
✓	54.7b	(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))
	31.1b	(/.f64 b (/.f64 (cos.f64 a) r))
	0.3b	(.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)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))
	39.6b	(*.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) r) -2)))
	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	37.3b	(*.f64 r (sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)))
	43.5b	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3) 3)
	25.2b	(.f64 (sin.f64 b) (/.f64 r (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
	48.4b	(sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 2))
	24.1b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 b)))
	54.0b	(log.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) 1))
	0.6b	(.f64 (sin.f64 b) (/.f64 r (log.f64 (.f64 (exp.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (+.f64 1 (expm1.f64 (.f64 (cos.f64 a) (cos.f64 b))))))))
	14.7b	(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3) 1/3))))
	14.6b	(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3))
	44.7b	(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
	45.2b	(pow.f64 (.f64 (pow.f64 (.f64 r r) 1/6) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
	22.2b	(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))))
✓	13.8b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
	33.1b	(.f64 (sin.f64 b) (/.f64 r (fma.f64 (.f64 (neg.f64 (sin.f64 b)) (sqrt.f64 (sin.f64 a))) (sqrt.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
	27.9b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	38.3b	(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (sin.f64 b))) 3)
	29.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))))
	31.5b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 b (cos.f64 a)) r)) 3)
	31.0b	(.f64 b (.f64 r (/.f64 1 (cos.f64 a))))
	0.5b	(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 3))))
	46.5b	(pow.f64 (*.f64 (pow.f64 r 1/3) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
	23.3b	(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))))
	27.6b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))))
✓	54.1b	(log.f64 1)
	0.4b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))))
	54.3b	(*.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 r (cos.f64 a)))))
	24.1b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	51.7b	(pow.f64 (*.f64 (cbrt.f64 r) (pow.f64 (sin.f64 b) 1/3)) 3)
✓	28.5b	(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
	31.1b	(*.f64 (/.f64 r (cos.f64 a)) b)
✓	0.3b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))
	24.1b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
✓	31.1b	(/.f64 (*.f64 b r) (cos.f64 a))
	43.4b	(pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
	28.0b	(.f64 1/3 (.f64 3 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
	0.4b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))))
	14.0b	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3)))
	37.8b	(*.f64 (sin.f64 b) (pow.f64 (exp.f64 1) (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
	30.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 a) (-.f64 (.f64 (pow.f64 b 3) 1/6) b)) (.f64 (+.f64 (.f64 (.f64 b b) -1/2) 1) (cos.f64 a)))))
	24.1b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
	24.0b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
	24.1b	(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (-.f64 (exp.f64 (cos.f64 b)) 1))))
	24.1b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
	38.3b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
	22.7b	(.f64 (sin.f64 b) (/.f64 r (fma.f64 (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
✓	0.3b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
	0.5b	(.f64 3 (.f64 1/3 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
	0.4b	(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
	13.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
✓	0.3b	(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
✓	13.9b	(.f64 3 (.f64 1/3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	27.6b	(.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) -2)))
	50.6b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))) 1)
	31.2b	(.f64 3 (.f64 1/3 (*.f64 r (/.f64 b (cos.f64 a)))))
	28.0b	(.f64 3 (.f64 1/3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
	43.4b	(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 b)))))

Compiler

Compiled 1566 to 1097 computations (29.9% saved)

regimes966.0ms (6.3%)

Counts

184 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(log.f64 1)
(log.f64 1)
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(.f64 b (.f64 r (/.f64 1 (cos.f64 a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(.f64 (.f64 b r) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 b (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 b)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 a))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(.f64 1/3 (.f64 3 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) r)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 a b)))))
(.f64 3 (/.f64 (.f64 (*.f64 1/3 r) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(.f64 3 (/.f64 (.f64 1/3 r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (sin.f64 b) (.f64 1/3 (*.f64 3 (/.f64 r (cos.f64 (+.f64 a b))))))
(.f64 1/3 (.f64 3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 1/3) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 b (cos.f64 a)) r)) 3)
(log.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) 1))
(pow.f64 (pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 3) 1/3)
(.f64 (sin.f64 b) (/.f64 r (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))))
(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (sin.f64 b))) 3)
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
(pow.f64 (*.f64 (cbrt.f64 r) (pow.f64 (sin.f64 b) 1/3)) 3)
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 b)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
(*.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 r (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 b)))))
(cbrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)) 3)
(sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 2))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))) 3)
(*.f64 (sin.f64 b) (/.f64 r (log1p.f64 (expm1.f64 (cos.f64 (+.f64 a b))))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3) 3)
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 3) 1/3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))) 1)
(*.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (-.f64 (exp.f64 (cos.f64 a)) 1))))
(*.f64 r (/.f64 (sin.f64 b) (log.f64 (exp.f64 (cos.f64 (+.f64 b a))))))
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (-.f64 (exp.f64 (cos.f64 b)) 1))))
(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
(*.f64 r (exp.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(*.f64 r (log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) r) -2)))
(.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) -2)))
(*.f64 (sin.f64 b) (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 2))
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 2))
(*.f64 r (sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)))
(*.f64 (sin.f64 b) (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 2))
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3))
(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) 2))
(.f64 (sin.f64 b) (.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) -2))))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 a b)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 3)
(*.f64 r (sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)))
(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3)))
(*.f64 r (/.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))) 1/3))
(*.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 r (cos.f64 (+.f64 a b))))) 1))
(*.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 3) 1/3))
(*.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 r (cos.f64 (+.f64 a b))))) 1))
(*.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 3) 1/3))
(pow.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3) 1/3)
(.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 3)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))))
(.f64 (sin.f64 b) (.f64 r (cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 3))))
(.f64 (sin.f64 b) (.f64 r (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (+.f64 a b)))) 3)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))))
(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))))
(.f64 3 (exp.f64 (log.f64 (.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
(.f64 r (+.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b))))
(.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (.f64 (cos.f64 a) -1/2) b) (sin.f64 a))))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a))))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a)))))))
(.f64 r (/.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 a) (-.f64 (.f64 (pow.f64 b 3) 1/6) b)) (.f64 (+.f64 (.f64 (.f64 b b) -1/2) 1) (cos.f64 a)))))
(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))
(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(pow.f64 (*.f64 (pow.f64 r 1/3) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 1/3)) 3)
(*.f64 (sin.f64 b) (pow.f64 (exp.f64 1) (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) 3)) 1/3))
(pow.f64 (.f64 (pow.f64 (.f64 r r) 1/6) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 3 (.f64 1/3 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))) (sin.f64 b)))
(.f64 (sin.f64 b) (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))
(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)))))
(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 3))))
(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3) 1/3))))
(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (exp.f64 (log.f64 (.f64 (sin.f64 b) (sin.f64 a))))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 3)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3) 1/3)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))))
(.f64 r (/.f64 (sin.f64 b) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 b) (cos.f64 a))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
(.f64 (sin.f64 b) (/.f64 r (log.f64 (.f64 (exp.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (+.f64 1 (expm1.f64 (.f64 (cos.f64 a) (cos.f64 b))))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a)))))))
(.f64 (sin.f64 b) (/.f64 r (fma.f64 (.f64 (neg.f64 (sin.f64 b)) (sqrt.f64 (sin.f64 a))) (sqrt.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (/.f64 (sin.f64 a) (/.f64 (cos.f64 a) b)) 1) (/.f64 r (cos.f64 a))) (.f64 b (.f64 b (*.f64 (/.f64 r (cos.f64 a)) (-.f64 -1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2))))))))
(.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (/.f64 b (/.f64 (cos.f64 a) (sin.f64 a))) 1) (/.f64 r (cos.f64 a))) (.f64 (.f64 (/.f64 r (cos.f64 a)) (-.f64 -1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)))) (*.f64 b b))))
(.f64 (sin.f64 b) (/.f64 r (fma.f64 (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (.f64 (sin.f64 a) 1)))) (fma.f64 (neg.f64 (sin.f64 b)) (.f64 (sin.f64 a) 1) (.f64 (sin.f64 b) (.f64 (sin.f64 a) 1)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a)))))))))
(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sqrt.f64 (sin.f64 a)) (.f64 (sin.f64 b) (sqrt.f64 (sin.f64 a)))))) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 a))) (.f64 (sin.f64 b) (sqrt.f64 (sin.f64 a))) (.f64 (sqrt.f64 (sin.f64 a)) (.f64 (sin.f64 b) (sqrt.f64 (sin.f64 a))))))))
(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b)))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (.f64 (sin.f64 a) (sqrt.f64 (sin.f64 b)))))) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 b))) (.f64 (sin.f64 a) (sqrt.f64 (sin.f64 b))) (.f64 (sqrt.f64 (sin.f64 b)) (.f64 (sin.f64 a) (sqrt.f64 (sin.f64 b)))))))
(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2))))))
(.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)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))
(.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))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 b))) (.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2))) (.f64 (cbrt.f64 (sin.f64 b)) (.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 b))) (.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2))) (.f64 (cbrt.f64 (sin.f64 b)) (*.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))
(fma.f64 (/.f64 r (cos.f64 a)) b (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (.f64 b r)) (fma.f64 (-.f64 (/.f64 (.f64 (sin.f64 a) r) (/.f64 (pow.f64 (cos.f64 a) 2) -1/3)) (.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)))) (neg.f64 (pow.f64 b 4)) (.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 r (sin.f64 b)) (+.f64 (fma.f64 (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (sqrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 b))) (.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2))) (.f64 (cbrt.f64 (sin.f64 b)) (.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.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))))))

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

Calls

5 calls:

206.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
181.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
172.0ms	b
159.0ms	r
148.0ms	a

Results

Error	Segments	Branch
0.3b	1	`r`
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
0.3b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 2849 to 974 computations (65.8% saved)

regimes750.0ms (4.9%)

Counts

151 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(log.f64 1)
(log.f64 1)
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(.f64 b (.f64 r (/.f64 1 (cos.f64 a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(.f64 (.f64 b r) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 b (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 b)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 a))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(.f64 1/3 (.f64 3 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) r)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 a b)))))
(.f64 3 (/.f64 (.f64 (*.f64 1/3 r) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(.f64 3 (/.f64 (.f64 1/3 r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (sin.f64 b) (.f64 1/3 (*.f64 3 (/.f64 r (cos.f64 (+.f64 a b))))))
(.f64 1/3 (.f64 3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 1/3) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 b (cos.f64 a)) r)) 3)
(log.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) 1))
(pow.f64 (pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 3) 1/3)
(.f64 (sin.f64 b) (/.f64 r (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))))
(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (sin.f64 b))) 3)
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
(pow.f64 (*.f64 (cbrt.f64 r) (pow.f64 (sin.f64 b) 1/3)) 3)
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 b)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
(*.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 r (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 b)))))
(cbrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)) 3)
(sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 2))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))) 3)
(*.f64 (sin.f64 b) (/.f64 r (log1p.f64 (expm1.f64 (cos.f64 (+.f64 a b))))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3) 3)
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 3) 1/3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))) 1)
(*.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (-.f64 (exp.f64 (cos.f64 a)) 1))))
(*.f64 r (/.f64 (sin.f64 b) (log.f64 (exp.f64 (cos.f64 (+.f64 b a))))))
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (-.f64 (exp.f64 (cos.f64 b)) 1))))
(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
(*.f64 r (exp.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(*.f64 r (log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) r) -2)))
(.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) -2)))
(*.f64 (sin.f64 b) (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 2))
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 2))
(*.f64 r (sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)))
(*.f64 (sin.f64 b) (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 2))
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3))
(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) 2))
(.f64 (sin.f64 b) (.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) -2))))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 a b)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 3)
(*.f64 r (sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)))
(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3)))
(*.f64 r (/.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))) 1/3))
(*.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 r (cos.f64 (+.f64 a b))))) 1))
(*.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 3) 1/3))
(*.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 r (cos.f64 (+.f64 a b))))) 1))
(*.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 3) 1/3))
(pow.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3) 1/3)
(.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 3)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))))
(.f64 (sin.f64 b) (.f64 r (cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 3))))
(.f64 (sin.f64 b) (.f64 r (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (+.f64 a b)))) 3)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))))
(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))))
(.f64 3 (exp.f64 (log.f64 (.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
(.f64 r (+.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b))))
(.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (.f64 (cos.f64 a) -1/2) b) (sin.f64 a))))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a))))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a)))))))
(.f64 r (/.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 a) (-.f64 (.f64 (pow.f64 b 3) 1/6) b)) (.f64 (+.f64 (.f64 (.f64 b b) -1/2) 1) (cos.f64 a)))))
(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))
(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(pow.f64 (*.f64 (pow.f64 r 1/3) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 1/3)) 3)
(*.f64 (sin.f64 b) (pow.f64 (exp.f64 1) (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) 3)) 1/3))
(pow.f64 (.f64 (pow.f64 (.f64 r r) 1/6) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 3 (.f64 1/3 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 r (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))) (sin.f64 b)))

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

Calls

5 calls:

179.0ms	r
160.0ms	b
143.0ms	a
111.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
106.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Error	Segments	Branch
0.3b	1	`r`
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
0.3b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 1726 to 578 computations (66.5% saved)

regimes707.0ms (4.6%)

Counts

143 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(log.f64 1)
(log.f64 1)
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(.f64 b (.f64 r (/.f64 1 (cos.f64 a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(.f64 (.f64 b r) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 b (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 b)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 a))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(.f64 1/3 (.f64 3 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) r)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 a b)))))
(.f64 3 (/.f64 (.f64 (*.f64 1/3 r) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(.f64 3 (/.f64 (.f64 1/3 r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (sin.f64 b) (.f64 1/3 (*.f64 3 (/.f64 r (cos.f64 (+.f64 a b))))))
(.f64 1/3 (.f64 3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 1/3) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 b (cos.f64 a)) r)) 3)
(log.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) 1))
(pow.f64 (pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 3) 1/3)
(.f64 (sin.f64 b) (/.f64 r (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))))
(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (sin.f64 b))) 3)
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
(pow.f64 (*.f64 (cbrt.f64 r) (pow.f64 (sin.f64 b) 1/3)) 3)
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 b)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
(*.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 r (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 b)))))
(cbrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)) 3)
(sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 2))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))) 3)
(*.f64 (sin.f64 b) (/.f64 r (log1p.f64 (expm1.f64 (cos.f64 (+.f64 a b))))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3) 3)
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 3) 1/3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))) 1)
(*.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (-.f64 (exp.f64 (cos.f64 a)) 1))))
(*.f64 r (/.f64 (sin.f64 b) (log.f64 (exp.f64 (cos.f64 (+.f64 b a))))))
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (-.f64 (exp.f64 (cos.f64 b)) 1))))
(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
(*.f64 r (exp.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(*.f64 r (log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) r) -2)))
(.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) -2)))
(*.f64 (sin.f64 b) (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 2))
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 2))
(*.f64 r (sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)))
(*.f64 (sin.f64 b) (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 2))
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3))
(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) 2))
(.f64 (sin.f64 b) (.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) -2))))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 a b)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 3)
(*.f64 r (sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)))
(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3)))
(*.f64 r (/.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))) 1/3))
(*.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 r (cos.f64 (+.f64 a b))))) 1))
(*.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 3) 1/3))
(*.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 r (cos.f64 (+.f64 a b))))) 1))
(*.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 3) 1/3))
(pow.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3) 1/3)
(.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 3)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))))
(.f64 (sin.f64 b) (.f64 r (cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 3))))
(.f64 (sin.f64 b) (.f64 r (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (+.f64 a b)))) 3)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))))
(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))))
(.f64 3 (exp.f64 (log.f64 (.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
(.f64 r (+.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b))))
(.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (.f64 (cos.f64 a) -1/2) b) (sin.f64 a))))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a))))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a)))))))
(.f64 r (/.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 a) (-.f64 (.f64 (pow.f64 b 3) 1/6) b)) (.f64 (+.f64 (.f64 (.f64 b b) -1/2) 1) (cos.f64 a)))))
(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))
(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(pow.f64 (*.f64 (pow.f64 r 1/3) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 1/3)) 3)
(*.f64 (sin.f64 b) (pow.f64 (exp.f64 1) (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) 3)) 1/3))
(pow.f64 (.f64 (pow.f64 (.f64 r r) 1/6) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

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

Calls

5 calls:

148.0ms	r
144.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
124.0ms	a
119.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
103.0ms	b

Results

Error	Segments	Branch
0.4b	1	`r`
0.4b	1	`a`
0.4b	1	`b`
0.4b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
0.4b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 1590 to 553 computations (65.2% saved)

regimes544.0ms (3.5%)

Counts

142 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(log.f64 1)
(log.f64 1)
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(.f64 b (.f64 r (/.f64 1 (cos.f64 a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(.f64 (.f64 b r) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 b (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 b)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 a))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(.f64 1/3 (.f64 3 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) r)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 a b)))))
(.f64 3 (/.f64 (.f64 (*.f64 1/3 r) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(.f64 3 (/.f64 (.f64 1/3 r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (sin.f64 b) (.f64 1/3 (*.f64 3 (/.f64 r (cos.f64 (+.f64 a b))))))
(.f64 1/3 (.f64 3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 1/3) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 b (cos.f64 a)) r)) 3)
(log.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) 1))
(pow.f64 (pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 3) 1/3)
(.f64 (sin.f64 b) (/.f64 r (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))))
(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (sin.f64 b))) 3)
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
(pow.f64 (*.f64 (cbrt.f64 r) (pow.f64 (sin.f64 b) 1/3)) 3)
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 b)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
(*.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 r (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 b)))))
(cbrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)) 3)
(sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 2))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))) 3)
(*.f64 (sin.f64 b) (/.f64 r (log1p.f64 (expm1.f64 (cos.f64 (+.f64 a b))))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 1/3) 3)
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) 3) 1/3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))) 1)
(*.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (-.f64 (exp.f64 (cos.f64 a)) 1))))
(*.f64 r (/.f64 (sin.f64 b) (log.f64 (exp.f64 (cos.f64 (+.f64 b a))))))
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (-.f64 (exp.f64 (cos.f64 b)) 1))))
(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
(*.f64 r (exp.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(*.f64 r (log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) r) -2)))
(.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) -2)))
(*.f64 (sin.f64 b) (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 2))
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) 2))
(*.f64 r (sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)))
(*.f64 (sin.f64 b) (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 2))
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 a b)))) 3))
(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) 2))
(.f64 (sin.f64 b) (.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) -2))))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 a b)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 3)
(*.f64 r (sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)))
(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3)))
(*.f64 r (/.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))) 1/3))
(*.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 r (cos.f64 (+.f64 a b))))) 1))
(*.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 3) 1/3))
(*.f64 (sin.f64 b) (-.f64 (exp.f64 (log1p.f64 (/.f64 r (cos.f64 (+.f64 a b))))) 1))
(*.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 a b))) 3) 1/3))
(pow.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3) 1/3)
(.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 3)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))))
(.f64 (sin.f64 b) (.f64 r (cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 a b))) 3))))
(.f64 (sin.f64 b) (.f64 r (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (+.f64 a b)))) 3)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))))
(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))))
(.f64 3 (exp.f64 (log.f64 (.f64 1/3 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
(.f64 r (+.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b))))
(.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (.f64 (cos.f64 a) -1/2) b) (sin.f64 a))))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a))))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a)))))))
(.f64 r (/.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 a) (-.f64 (.f64 (pow.f64 b 3) 1/6) b)) (.f64 (+.f64 (.f64 (.f64 b b) -1/2) 1) (cos.f64 a)))))
(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 a))))
(pow.f64 (*.f64 (cbrt.f64 r) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(pow.f64 (*.f64 (pow.f64 r 1/3) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 1/3)) 3)
(*.f64 (sin.f64 b) (pow.f64 (exp.f64 1) (log.f64 (/.f64 r (cos.f64 (+.f64 a b))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) 3)) 1/3))
(pow.f64 (.f64 (pow.f64 (.f64 r r) 1/6) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) 3)

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

Calls

5 calls:

105.0ms	a
104.0ms	r
102.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
94.0ms	b
93.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Error	Segments	Branch
13.7b	1	`r`
13.7b	1	`a`
13.7b	1	`b`
13.7b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
13.7b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 1574 to 550 computations (65.1% saved)

regimes58.0ms (0.4%)

Counts

32 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(log.f64 1)
(log.f64 1)
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(.f64 b (.f64 r (/.f64 1 (cos.f64 a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(.f64 (.f64 b r) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 b (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 b)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 a))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))

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

Calls

3 calls:

17.0ms	b
17.0ms	r
17.0ms	a

Results

Error	Segments	Branch
13.8b	1	`r`
13.8b	1	`a`
13.8b	1	`b`

Compiler

Compiled 234 to 76 computations (67.5% saved)

regimes174.0ms (1.1%)

Counts

29 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(log.f64 1)
(log.f64 1)
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(.f64 b (.f64 r (/.f64 1 (cos.f64 a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(.f64 (.f64 b r) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 b (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 b)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))

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

Calls

3 calls:

68.0ms	r
53.0ms	a
47.0ms	b

Results

Error	Segments	Branch
20.7b	5	`r`
13.5b	3	`a`
13.7b	3	`b`

Compiler

Compiled 207 to 66 computations (68.1% saved)

bsearch137.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	4.337008163156099e-31	3.3594529673687076e-22
66.0ms	-142667178061.19138	-0.00021669351503210752

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes109.0ms (0.7%)

Counts

20 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(log.f64 1)
(log.f64 1)
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(.f64 b (.f64 r (/.f64 1 (cos.f64 a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(.f64 (.f64 b r) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 b (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))

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

Calls

3 calls:

47.0ms	r
29.0ms	b
28.0ms	a

Results

Error	Segments	Branch
20.7b	5	`r`
13.5b	3	`a`
13.8b	3	`b`

Compiler

Compiled 140 to 51 computations (63.6% saved)

bsearch131.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	4.337008163156099e-31	3.3594529673687076e-22
66.0ms	-142667178061.19138	-0.00021669351503210752

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes99.0ms (0.6%)

Counts

17 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(log.f64 1)
(log.f64 1)
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(.f64 b (.f64 r (/.f64 1 (cos.f64 a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(.f64 (.f64 b r) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 b (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))

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

Calls

3 calls:

40.0ms	r
26.0ms	b
26.0ms	a

Results

Error	Segments	Branch
20.7b	5	`r`
13.5b	3	`a`
13.8b	3	`b`

Compiler

Compiled 119 to 48 computations (59.7% saved)

bsearch129.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
64.0ms	4.337008163156099e-31	3.3594529673687076e-22
64.0ms	-142667178061.19138	-0.00021669351503210752

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes31.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(log.f64 1)
(log.f64 1)
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(.f64 b (.f64 r (/.f64 1 (cos.f64 a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(.f64 (.f64 b r) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 b (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))

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

Calls

3 calls:

10.0ms	a
9.0ms	b
9.0ms	r

Results

Error	Segments	Branch
27.9b	1	`r`
27.9b	1	`a`
27.9b	1	`b`

Compiler

Compiled 105 to 44 computations (58.1% saved)

regimes56.0ms (0.4%)

Counts

14 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(log.f64 1)
(log.f64 1)
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(.f64 b (.f64 r (/.f64 1 (cos.f64 a))))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(.f64 (.f64 b r) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 3 (.f64 1/3 (*.f64 r (/.f64 b (cos.f64 a)))))

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

Calls

3 calls:

23.0ms	a
22.0ms	b
8.0ms	r

Results

Error	Segments	Branch
31.0b	1	`r`
29.2b	3	`a`
27.6b	3	`b`

Compiler

Compiled 98 to 43 computations (56.1% saved)

bsearch136.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
68.0ms	3.2740453461538332	238.08102520992338
67.0ms	-122.22465916837005	-6.456490882089298e-10

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes45.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	b
17.0ms	a
6.0ms	r

Results

Error	Segments	Branch
31.1b	1	`r`
29.2b	3	`a`
27.6b	3	`b`

Compiler

Compiled 62 to 29 computations (53.2% saved)

bsearch137.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
68.0ms	3.2740453461538332	238.08102520992338
69.0ms	-122.22465916837005	-6.456490882089298e-10

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(log.f64 1)
(log.f64 1)
(*.f64 (sin.f64 b) r)

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

Calls

3 calls:

7.0ms	a
4.0ms	b
4.0ms	r

Results

Error	Segments	Branch
37.9b	1	`r`
37.9b	1	`a`
37.9b	1	`b`

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes13.0ms (0.1%)

Accuracy

Total -13.5b remaining (-32.6%)

Threshold costs -13.5b (-32.6%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(log.f64 1)
(log.f64 1)

Outputs
(*.f64 r b)

Calls

3 calls:

4.0ms	b
4.0ms	a
4.0ms	r

Results

Error	Segments	Branch
41.3b	1	`r`
41.3b	1	`a`
41.3b	1	`b`

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	331
1	93	331
2	105	331
3	112	331
4	115	331

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (sin.f64 b) (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b)))))
(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(if (<=.f64 a -4674918090709119/32768) (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (if (<=.f64 a 633854453157012992/1461501637330902918203684832716283019655932542976) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(if (<=.f64 a -4674918090709119/32768) (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (if (<=.f64 a 633854453157012992/1461501637330902918203684832716283019655932542976) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(if (<=.f64 a -4674918090709119/32768) (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (if (<=.f64 a 633854453157012992/1461501637330902918203684832716283019655932542976) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(if (<=.f64 b -8600795773221207/70368744177664) (.f64 (sin.f64 b) r) (if (<=.f64 b 7372494700466255/2251799813685248) (.f64 b (.f64 r (/.f64 1 (cos.f64 a)))) (.f64 (sin.f64 b) r)))
(if (<=.f64 b -8600795773221207/70368744177664) (.f64 (sin.f64 b) r) (if (<=.f64 b 7372494700466255/2251799813685248) (.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(*.f64 r b)

Outputs
(.f64 (sin.f64 b) (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b)))))
(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(if (<=.f64 a -4674918090709119/32768) (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (if (<=.f64 a 633854453157012992/1461501637330902918203684832716283019655932542976) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(if (<=.f64 a -4674918090709119/32768) (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (if (<=.f64 a 1237996978822291/2854495385411919762116571938898990272765493248) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(if (<=.f64 a -4674918090709119/32768) (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (if (<=.f64 a 633854453157012992/1461501637330902918203684832716283019655932542976) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(if (<=.f64 a -4674918090709119/32768) (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (if (<=.f64 a 1237996978822291/2854495385411919762116571938898990272765493248) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(if (<=.f64 a -4674918090709119/32768) (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (if (<=.f64 a 633854453157012992/1461501637330902918203684832716283019655932542976) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(if (<=.f64 a -4674918090709119/32768) (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (if (<=.f64 a 1237996978822291/2854495385411919762116571938898990272765493248) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(if (<=.f64 b -8600795773221207/70368744177664) (.f64 (sin.f64 b) r) (if (<=.f64 b 7372494700466255/2251799813685248) (.f64 b (.f64 r (/.f64 1 (cos.f64 a)))) (.f64 (sin.f64 b) r)))
(if (<=.f64 b -8600795773221207/70368744177664) (.f64 (sin.f64 b) r) (if (<=.f64 b 7372494700466255/2251799813685248) (.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b -8600795773221207/70368744177664) (.f64 (sin.f64 b) r) (if (<=.f64 b 7372494700466255/2251799813685248) (.f64 b (/.f64 r (cos.f64 a))) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(*.f64 r b)
(*.f64 b r)

end94.0ms (0.6%)

Stop Event

1×

fuel

Compiler

Compiled 468 to 220 computations (53% saved)