Details

analyze417.0ms (3.3%)

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)

sample2.9s (22.8%)

Results

1.8s	3764×	body	1024	valid
467.0ms	2876×	body	256	valid
444.0ms	1432×	body	512	valid
157.0ms	184×	body	2048	valid
0.0ms	1×	body	512	invalid

preprocess18.0ms (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)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

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

14.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.8b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
▶	14.7b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize14.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	3.4b	(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)))
✓	3.4b	(cos.f64 (+.f64 a b))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series19.0ms (0.2%)

Counts

3 → 76

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
2.0ms	r	@	0	(/.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	b	@	inf	(/.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)))

rewrite70.0ms (0.6%)

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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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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(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 expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))))))) (#(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 +.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 expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b))))))) (#(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))))))

simplify48.0ms (0.4%)

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)

localize17.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	3.4b	(cos.f64 (+.f64 b a))
	0.2b	(*.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)))
✓	0.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
✓	3.4b	(cos.f64 (+.f64 b a))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series10.0ms (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)))

rewrite68.0ms (0.5%)

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

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

simplify187.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	1827
1	584	1745
2	2110	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 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 b 4) (+.f64 (.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))))))) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))))
(+.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
(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 (-.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 (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))
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))
(fma.f64 a (neg.f64 (sin.f64 b)) (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 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)))
(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 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)))
(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 (*.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) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) 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) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) 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) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) 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) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) 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) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) 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) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.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 (.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 b (.f64 b r))))
(fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (/.f64 (sin.f64 a) (/.f64 (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 (.f64 (sin.f64 a) (.f64 b b)) r) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (.f64 r (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 (.f64 b r))) (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) r) (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 r (pow.f64 (cos.f64 a) 3)) (pow.f64 (sin.f64 a) 2))) (fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (/.f64 (sin.f64 a) (/.f64 (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 (.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 (.f64 (sin.f64 a) (.f64 b b)) r) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (fma.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))) (neg.f64 (.f64 (fma.f64 -1 (/.f64 (sin.f64 a) (/.f64 (cos.f64 a) (-.f64 (.f64 -1/6 (/.f64 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 (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 b (.f64 b r))) (-.f64 (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) r) (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 (*.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) r) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 4))))
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(fma.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (fma.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) -1/3))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (/.f64 (*.f64 a (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)))))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a) (.f64 (.f64 a 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 (-.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) a))) (fma.f64 (fma.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 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) -1/3))) (neg.f64 (pow.f64 a 3)) (/.f64 (sin.f64 b) (cos.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 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)))

eval214.0ms (1.7%)

Compiler: Compiled 8696 to 2786 computations (68% saved)

prune185.0ms (1.5%)

Pruning

51 alts after pruning (51 fresh and 0 done)

	Pruned	Kept	Total
New	320	51	371
Fresh	0	0	0
Picked	1	0	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
	15.1b	(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)))
	31.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))))
	49.9b	(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 a b)))
	54.4b	(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))))
	44.8b	(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) -2))
	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
	0.8b	(/.f64 (.f64 r (sin.f64 b)) (+.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)))))
	32.9b	(*.f64 r (/.f64 b (cos.f64 a)))
	15.0b	(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	0.3b	(/.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)))))
	29.7b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
	27.6b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))
	14.8b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	25.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b)))
	47.0b	(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) 1) (cos.f64 (+.f64 a b)))
	15.5b	(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3))
▶	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	23.8b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
▶	32.2b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
▶	41.2b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
	23.8b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	14.8b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 a b)))))
	31.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
	25.5b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b))))
	15.5b	(pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 3)
	23.8b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
	14.9b	(*.f64 r (log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
▶	14.8b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
	32.1b	(/.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)))))))
	32.2b	(.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)))))))
	29.7b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	32.9b	(*.f64 (/.f64 r (cos.f64 a)) b)
	38.8b	(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))))
	19.8b	(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	30.4b	(.f64 r (.f64 (pow.f64 (cos.f64 (+.f64 b a)) -1/2) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a))))))
	33.5b	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
	32.2b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b)))))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	32.9b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
	14.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	14.8b	(.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 r (sin.f64 b)))
	38.9b	(*.f64 r (sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) -2)))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.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)))))))
	27.6b	(*.f64 r (/.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (.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)))))))
▶	32.9b	(/.f64 (*.f64 b r) (cos.f64 a))
	15.5b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 a b)))
	0.8b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) 2) (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
	0.7b	(.f64 r (/.f64 (sin.f64 b) (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))))))
	14.9b	(*.f64 r (/.f64 (sin.f64 b) (log.f64 (exp.f64 (cos.f64 (+.f64 b a))))))

Compiler

Compiled 1986 to 1216 computations (38.8% saved)

localize36.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 56 to 12 computations (78.6% saved)

series20.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	b	@	inf	(*.f64 (sin.f64 b) (sin.f64 a))
3.0ms	r	@	0	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
2.0ms	b	@	inf	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
2.0ms	a	@	inf	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
2.0ms	b	@	-inf	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))

rewrite166.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`prod-diff_binary64`
725×	`log-prod_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`
238×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	276	28
2	3838	28

Stop Event

1×	node limit

Counts

3 → 313

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 (sin.f64 b) (/.f64 1 (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (*.f64 r (/.f64 1 (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 r (cos.f64 (-.f64 b a))) (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (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 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))) 2) (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (*.f64 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simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-def_binary64`
676×	`associate-l_binary64`
651×	`associate-r_binary64`
356×	`times-frac_binary64`
319×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	2035
1	475	1988
2	1624	1928

Stop Event

1×	node limit

Counts

397 → 364

Calls

Call 1

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

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series8.0ms (0.1%)

Counts

2 → 20

Calls

12 calls:

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

rewrite68.0ms (0.5%)

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	12
1	144	12
2	1955	12

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

783×	`fma-neg_binary64`
405×	`fma-def_binary64`
371×	`distribute-lft-out_binary64`
371×	`distribute-rgt-neg-in_binary64`
368×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	299
1	158	264
2	596	250
3	2865	235

Stop Event

1×	node limit

Counts

77 → 72

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))))))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (.f64 1/24 (pow.f64 a 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (+.f64 (.f64 -1/720 (pow.f64 a 6)) (*.f64 1/24 (pow.f64 a 4)))))

Outputs
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (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 r (.f64 (fma.f64 1/2 (*.f64 a a) 1) 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)))))))
(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 (pow.f64 a 4) (.f64 (.f64 r b) 5/24) (.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1)))
(.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 (.f64 r 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 (.f64 (.f64 r b) (fma.f64 1/2 (.f64 a a) 1)) (fma.f64 (pow.f64 a 4) (.f64 r (.f64 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)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))
(+.f64 1 (.f64 (.f64 a a) -1/2))
(fma.f64 (*.f64 a a) -1/2 1)
(fma.f64 a (*.f64 a -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (.f64 1/24 (pow.f64 a 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 a a) (.f64 (pow.f64 a 4) 1/24)))
(+.f64 1 (fma.f64 (.f64 a a) -1/2 (.f64 (pow.f64 a 4) 1/24)))
(fma.f64 a (*.f64 a -1/2) (fma.f64 (pow.f64 a 4) 1/24 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (+.f64 (.f64 -1/720 (pow.f64 a 6)) (*.f64 1/24 (pow.f64 a 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 a a) (fma.f64 -1/720 (pow.f64 a 6) (.f64 (pow.f64 a 4) 1/24))))
(+.f64 1 (fma.f64 (.f64 a a) -1/2 (fma.f64 (pow.f64 a 6) -1/720 (.f64 (pow.f64 a 4) 1/24))))
(+.f64 1 (fma.f64 a (.f64 a -1/2) (fma.f64 (pow.f64 a 6) -1/720 (.f64 (pow.f64 a 4) 1/24))))
(+.f64 (fma.f64 a (.f64 a -1/2) 1) (fma.f64 (pow.f64 a 4) 1/24 (.f64 (pow.f64 a 6) -1/720)))

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	3.4b	(cos.f64 (+.f64 a b))
	0.3b	(/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	0.2b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
	0.2b	(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
✓	0.2b	(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
✓	0.2b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
✓	0.3b	(/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	3.4b	(cos.f64 (+.f64 a b))

Compiler

Compiled 43 to 13 computations (69.8% saved)

series9.0ms (0.1%)

Counts

3 → 76

Calls

21 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`log-prod_binary64`
597×	`prod-diff_binary64`
322×	`pow2_binary64`
225×	`pow1/3_binary64`
220×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	242	36
2	3385	36

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

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

Outputs

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

simplify217.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

809×	`fma-def_binary64`
535×	`times-frac_binary64`
478×	`associate-/l*_binary64`
446×	`associate-*l/_binary64`
370×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1859
1	587	1758
2	2113	1674

Stop Event

1×	node limit

Counts

193 → 172

Calls

Call 1

Inputs
(/.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 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 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (*.f64 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 (cos.f64 b) (sin.f64 b))
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 -1 a))
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (+.f64 (.f64 -1 a) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) (sin.f64 b)))))
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (+.f64 (.f64 1/6 (pow.f64 a 3)) (+.f64 (.f64 -1 a) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) (sin.f64 b))))))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (sin.f64 b))
(/.f64 (cos.f64 a) b)
(+.f64 (*.f64 -1 (sin.f64 a)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 b (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 -1/6 (cos.f64 a)))) (+.f64 (.f64 -1 (sin.f64 a)) (/.f64 (cos.f64 a) b)))
(+.f64 (.f64 (-.f64 (.f64 1/24 (cos.f64 a)) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 -1/6 (cos.f64 a)))) (.f64 1/120 (cos.f64 a)))) (pow.f64 b 3)) (+.f64 (.f64 b (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 -1/6 (cos.f64 a)))) (+.f64 (.f64 -1 (sin.f64 a)) (/.f64 (cos.f64 a) b))))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (sin.f64 b))

Outputs
(/.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)))
(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 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)) (.f64 (.f64 a a) (-.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) -1/2) (/.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 (sin.f64 b) (cos.f64 b)) -1/2) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) a))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))))
(fma.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (fma.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) -1/3))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))))
(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 (/.f64 (sin.f64 b) (cos.f64 b)) -1/2) (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)) (.f64 (.f64 a a) (-.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) -1/2) (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (.f64 a (-.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (-.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) -1/2) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) a))) (.f64 (pow.f64 a 3) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) -1/2) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) -1/3)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 (sin.f64 a) (/.f64 (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 (-.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 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b b)))))
(fma.f64 (+.f64 (/.f64 1/3 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (pow.f64 b 3) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (/.f64 b (cos.f64 a))))
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(-.f64 (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 b (cos.f64 a)) r (.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b b)) r))) (.f64 (pow.f64 b 4) (-.f64 (.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -1/3) 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 (*.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 (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 (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 (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 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 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 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 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 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 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 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (cos.f64 b) (sin.f64 b))
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 -1 a))
(+.f64 (neg.f64 a) (/.f64 (cos.f64 b) (sin.f64 b)))
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (+.f64 (.f64 -1 a) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) (sin.f64 b)))))
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (fma.f64 -1 a (.f64 -1/2 (/.f64 (.f64 a a) (/.f64 (sin.f64 b) (cos.f64 b))))))
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (fma.f64 -1/2 (.f64 (/.f64 (.f64 a a) (sin.f64 b)) (cos.f64 b)) (neg.f64 a)))
(fma.f64 -1/2 (/.f64 a (/.f64 (sin.f64 b) (*.f64 a (cos.f64 b)))) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (+.f64 (.f64 1/6 (pow.f64 a 3)) (+.f64 (.f64 -1 a) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) (sin.f64 b))))))
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (fma.f64 1/6 (pow.f64 a 3) (fma.f64 -1 a (.f64 -1/2 (/.f64 (.f64 a a) (/.f64 (sin.f64 b) (cos.f64 b)))))))
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (fma.f64 (pow.f64 a 3) 1/6 (fma.f64 -1/2 (.f64 (/.f64 (.f64 a a) (sin.f64 b)) (cos.f64 b)) (neg.f64 a))))
(fma.f64 (pow.f64 a 3) 1/6 (fma.f64 -1/2 (/.f64 a (/.f64 (sin.f64 b) (*.f64 a (cos.f64 b)))) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (neg.f64 a))) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (neg.f64 a))) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (neg.f64 a))) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (neg.f64 a))) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
(/.f64 (cos.f64 a) b)
(+.f64 (*.f64 -1 (sin.f64 a)) (/.f64 (cos.f64 a) b))
(fma.f64 -1 (sin.f64 a) (/.f64 (cos.f64 a) b))
(-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))
(+.f64 (.f64 b (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 -1/6 (cos.f64 a)))) (+.f64 (.f64 -1 (sin.f64 a)) (/.f64 (cos.f64 a) b)))
(fma.f64 b (*.f64 (cos.f64 a) -1/3) (fma.f64 -1 (sin.f64 a) (/.f64 (cos.f64 a) b)))
(fma.f64 b (*.f64 (cos.f64 a) -1/3) (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
(-.f64 (fma.f64 b (*.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))
(+.f64 (.f64 (-.f64 (.f64 1/24 (cos.f64 a)) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 -1/6 (cos.f64 a)))) (.f64 1/120 (cos.f64 a)))) (pow.f64 b 3)) (+.f64 (.f64 b (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 -1/6 (cos.f64 a)))) (+.f64 (.f64 -1 (sin.f64 a)) (/.f64 (cos.f64 a) b))))
(fma.f64 (-.f64 (.f64 (cos.f64 a) 1/24) (fma.f64 -1/6 (.f64 (cos.f64 a) -1/3) (.f64 (cos.f64 a) 1/120))) (pow.f64 b 3) (fma.f64 b (.f64 (cos.f64 a) -1/3) (fma.f64 -1 (sin.f64 a) (/.f64 (cos.f64 a) b))))
(fma.f64 (pow.f64 b 3) (-.f64 (.f64 (cos.f64 a) 1/24) (fma.f64 (cos.f64 a) 1/120 (.f64 (cos.f64 a) 1/18))) (fma.f64 b (*.f64 (cos.f64 a) -1/3) (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))))
(fma.f64 (pow.f64 b 3) (+.f64 (.f64 (cos.f64 a) -1/72) (.f64 (cos.f64 a) -1/120)) (-.f64 (fma.f64 b (*.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (neg.f64 a))) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (neg.f64 a))) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (neg.f64 a))) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 b (neg.f64 a))) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))

localize41.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	3.4b	(cos.f64 (+.f64 a b))
	2.4b	(exp.f64 (log.f64 (*.f64 r (sin.f64 b))))
	0.1b	(*.f64 r (sin.f64 b))
	0.1b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
	0.1b	(*.f64 r (sin.f64 b))
✓	2.4b	(exp.f64 (log.f64 (*.f64 r (sin.f64 b))))
	3.4b	(cos.f64 (+.f64 a b))
✓	6.7b	(log.f64 (*.f64 r (sin.f64 b)))

Compiler

Compiled 41 to 10 computations (75.6% saved)

series124.0ms (1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
41.0ms	b	@	-inf	(log.f64 (*.f64 r (sin.f64 b)))
36.0ms	r	@	0	(log.f64 (*.f64 r (sin.f64 b)))
22.0ms	b	@	inf	(log.f64 (*.f64 r (sin.f64 b)))
13.0ms	r	@	-inf	(log.f64 (*.f64 r (sin.f64 b)))
9.0ms	r	@	inf	(log.f64 (*.f64 r (sin.f64 b)))

rewrite45.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`pow1_binary64`
520×	`add-sqr-sqrt_binary64`
500×	`add-log-exp_binary64`
500×	`log1p-expm1-u_binary64`
500×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	122	14
2	1355	14

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

724×	`cancel-sign-sub-inv_binary64`
622×	`fma-neg_binary64`
550×	`associate-l_binary64`
505×	`unswap-sqr_binary64`
409×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	430
1	153	427
2	383	416
3	1272	416
4	3609	416

Stop Event

1×	node limit

Counts

99 → 70

Calls

Call 1

Inputs
(+.f64 (log.f64 (sin.f64 b)) (log.f64 r))
(+.f64 (log.f64 (sin.f64 b)) (log.f64 r))
(+.f64 (log.f64 (sin.f64 b)) (log.f64 r))
(+.f64 (log.f64 (sin.f64 b)) (log.f64 r))
(+.f64 (log.f64 (sin.f64 b)) (*.f64 -1 (log.f64 (/.f64 1 r))))
(+.f64 (log.f64 (sin.f64 b)) (*.f64 -1 (log.f64 (/.f64 1 r))))
(+.f64 (log.f64 (sin.f64 b)) (*.f64 -1 (log.f64 (/.f64 1 r))))
(+.f64 (log.f64 (sin.f64 b)) (*.f64 -1 (log.f64 (/.f64 1 r))))
(+.f64 (log.f64 (.f64 -1 (sin.f64 b))) (.f64 -1 (log.f64 (/.f64 -1 r))))
(+.f64 (log.f64 (.f64 -1 (sin.f64 b))) (.f64 -1 (log.f64 (/.f64 -1 r))))
(+.f64 (log.f64 (.f64 -1 (sin.f64 b))) (.f64 -1 (log.f64 (/.f64 -1 r))))
(+.f64 (log.f64 (.f64 -1 (sin.f64 b))) (.f64 -1 (log.f64 (/.f64 -1 r))))
(+.f64 (log.f64 b) (log.f64 r))
(+.f64 (log.f64 b) (+.f64 (*.f64 -1/6 (pow.f64 b 2)) (log.f64 r)))
(+.f64 (log.f64 b) (+.f64 (.f64 -1/180 (pow.f64 b 4)) (+.f64 (.f64 -1/6 (pow.f64 b 2)) (log.f64 r))))
(+.f64 (log.f64 b) (+.f64 (.f64 -1/2835 (pow.f64 b 6)) (+.f64 (.f64 -1/180 (pow.f64 b 4)) (+.f64 (*.f64 -1/6 (pow.f64 b 2)) (log.f64 r)))))
(log.f64 (*.f64 (sin.f64 b) r))
(log.f64 (*.f64 (sin.f64 b) r))
(log.f64 (*.f64 (sin.f64 b) r))
(log.f64 (*.f64 (sin.f64 b) r))
(log.f64 (*.f64 (sin.f64 b) r))
(log.f64 (*.f64 (sin.f64 b) r))
(log.f64 (*.f64 (sin.f64 b) r))
(log.f64 (*.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 (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
(+.f64 (log.f64 (sin.f64 b)) (log.f64 r))
(log.f64 (*.f64 (sin.f64 b) r))
(+.f64 (log.f64 (sin.f64 b)) (log.f64 r))
(log.f64 (*.f64 (sin.f64 b) r))
(+.f64 (log.f64 (sin.f64 b)) (log.f64 r))
(log.f64 (*.f64 (sin.f64 b) r))
(+.f64 (log.f64 (sin.f64 b)) (log.f64 r))
(log.f64 (*.f64 (sin.f64 b) r))
(+.f64 (log.f64 (sin.f64 b)) (*.f64 -1 (log.f64 (/.f64 1 r))))
(log.f64 (*.f64 (sin.f64 b) r))
(+.f64 (log.f64 (sin.f64 b)) (*.f64 -1 (log.f64 (/.f64 1 r))))
(log.f64 (*.f64 (sin.f64 b) r))
(+.f64 (log.f64 (sin.f64 b)) (*.f64 -1 (log.f64 (/.f64 1 r))))
(log.f64 (*.f64 (sin.f64 b) r))
(+.f64 (log.f64 (sin.f64 b)) (*.f64 -1 (log.f64 (/.f64 1 r))))
(log.f64 (*.f64 (sin.f64 b) r))
(+.f64 (log.f64 (.f64 -1 (sin.f64 b))) (.f64 -1 (log.f64 (/.f64 -1 r))))
(log.f64 (*.f64 (sin.f64 b) r))
(+.f64 (log.f64 (.f64 -1 (sin.f64 b))) (.f64 -1 (log.f64 (/.f64 -1 r))))
(log.f64 (*.f64 (sin.f64 b) r))
(+.f64 (log.f64 (.f64 -1 (sin.f64 b))) (.f64 -1 (log.f64 (/.f64 -1 r))))
(log.f64 (*.f64 (sin.f64 b) r))
(+.f64 (log.f64 (.f64 -1 (sin.f64 b))) (.f64 -1 (log.f64 (/.f64 -1 r))))
(log.f64 (*.f64 (sin.f64 b) r))
(+.f64 (log.f64 b) (log.f64 r))
(+.f64 (log.f64 r) (log.f64 b))
(+.f64 (log.f64 b) (+.f64 (*.f64 -1/6 (pow.f64 b 2)) (log.f64 r)))
(+.f64 (log.f64 b) (fma.f64 -1/6 (*.f64 b b) (log.f64 r)))
(+.f64 (log.f64 r) (fma.f64 b (*.f64 b -1/6) (log.f64 b)))
(+.f64 (log.f64 b) (+.f64 (.f64 -1/180 (pow.f64 b 4)) (+.f64 (.f64 -1/6 (pow.f64 b 2)) (log.f64 r))))
(+.f64 (log.f64 b) (fma.f64 -1/180 (pow.f64 b 4) (fma.f64 -1/6 (*.f64 b b) (log.f64 r))))
(+.f64 (fma.f64 b (*.f64 b -1/6) (log.f64 r)) (fma.f64 -1/180 (pow.f64 b 4) (log.f64 b)))
(+.f64 (log.f64 b) (fma.f64 b (*.f64 b -1/6) (fma.f64 -1/180 (pow.f64 b 4) (log.f64 r))))
(+.f64 (log.f64 b) (+.f64 (.f64 -1/2835 (pow.f64 b 6)) (+.f64 (.f64 -1/180 (pow.f64 b 4)) (+.f64 (*.f64 -1/6 (pow.f64 b 2)) (log.f64 r)))))
(+.f64 (log.f64 b) (fma.f64 -1/2835 (pow.f64 b 6) (fma.f64 -1/180 (pow.f64 b 4) (fma.f64 -1/6 (*.f64 b b) (log.f64 r)))))
(+.f64 (log.f64 b) (fma.f64 -1/180 (pow.f64 b 4) (fma.f64 -1/2835 (pow.f64 b 6) (fma.f64 b (*.f64 b -1/6) (log.f64 r)))))
(+.f64 (fma.f64 b (*.f64 b -1/6) (fma.f64 -1/180 (pow.f64 b 4) (log.f64 r))) (fma.f64 -1/2835 (pow.f64 b 6) (log.f64 b)))
(+.f64 (log.f64 b) (fma.f64 -1/180 (pow.f64 b 4) (fma.f64 b (*.f64 b -1/6) (fma.f64 -1/2835 (pow.f64 b 6) (log.f64 r)))))
(log.f64 (*.f64 (sin.f64 b) r))
(log.f64 (*.f64 (sin.f64 b) r))
(log.f64 (*.f64 (sin.f64 b) r))
(log.f64 (*.f64 (sin.f64 b) r))
(log.f64 (*.f64 (sin.f64 b) r))
(log.f64 (*.f64 (sin.f64 b) r))
(log.f64 (*.f64 (sin.f64 b) r))
(log.f64 (*.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 (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 r (pow.f64 b 3)) (.f64 b r))
(.f64 r (+.f64 b (.f64 -1/6 (pow.f64 b 3))))
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) 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 r (pow.f64 b 3)) (fma.f64 r b (.f64 1/120 (*.f64 r (pow.f64 b 5)))))
(fma.f64 -1/6 (.f64 r (pow.f64 b 3)) (.f64 r (+.f64 (*.f64 1/120 (pow.f64 b 5)) b)))
(.f64 r (+.f64 (fma.f64 1/120 (pow.f64 b 5) b) (.f64 -1/6 (pow.f64 b 3))))
(.f64 r (+.f64 (.f64 -1/6 (pow.f64 b 3)) (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 r (pow.f64 b 3)) (fma.f64 -1/5040 (.f64 r (pow.f64 b 7)) (fma.f64 r b (.f64 1/120 (.f64 r (pow.f64 b 5))))))
(fma.f64 -1/6 (.f64 r (pow.f64 b 3)) (fma.f64 -1/5040 (.f64 r (pow.f64 b 7)) (.f64 r (+.f64 (.f64 1/120 (pow.f64 b 5)) b))))
(.f64 r (+.f64 (fma.f64 -1/6 (pow.f64 b 3) (.f64 -1/5040 (pow.f64 b 7))) (fma.f64 1/120 (pow.f64 b 5) b)))
(*.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)

localize39.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (cos.f64 a) (.f64 -1/2 b))
	0.1b	(.f64 b (-.f64 (.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a)))
	0.0b	(+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a))))
	0.0b	(cos.f64 a)
✓	0.1b	(.f64 b (-.f64 (.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a)))
✓	0.1b	(.f64 (cos.f64 a) (.f64 -1/2 b))
	0.1b	(*.f64 r (sin.f64 b))
✓	5.3b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))

Compiler

Compiled 79 to 35 computations (55.7% saved)

series20.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

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

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`log-prod_binary64`
515×	`fma-def_binary64`
307×	`expm1-udef_binary64`
307×	`log1p-udef_binary64`
288×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	328	54
2	4687	54

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

905×	`associate-/l*_binary64`
870×	`fma-def_binary64`
652×	`associate-/r*_binary64`
490×	`associate-*l/_binary64`
439×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2740
1	575	2549
2	2267	2455

Stop Event

1×	node limit

Counts

172 → 141

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.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 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 4))))))
(.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (.f64 4 (/.f64 (.f64 (sin.f64 a) (.f64 (sin.f64 b) r)) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 3)))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (.f64 4 (/.f64 (.f64 (sin.f64 a) (.f64 (sin.f64 b) r)) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) (.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 a) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)))) (pow.f64 b 4))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (.f64 4 (/.f64 (.f64 (sin.f64 a) (.f64 (sin.f64 b) r)) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 a) (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) (.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 a) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a))))) (cos.f64 a))) (.f64 -8 (/.f64 (.f64 (sin.f64 a) (.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) (.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 a) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)))) (pow.f64 b 4))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 2)))))))
(.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (.f64 4 (/.f64 (.f64 (sin.f64 a) (.f64 (sin.f64 b) r)) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 3)))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (.f64 4 (/.f64 (.f64 (sin.f64 a) (.f64 (sin.f64 b) r)) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) (.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 a) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)))) (pow.f64 b 4))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (.f64 4 (/.f64 (.f64 (sin.f64 a) (.f64 (sin.f64 b) r)) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) (.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 a) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)))) (pow.f64 b 4))) (+.f64 (.f64 8 (/.f64 (.f64 (sin.f64 a) (.f64 (sin.f64 b) r)) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 5)))) (+.f64 (.f64 2 (/.f64 (.f64 (sin.f64 a) (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) (.f64 (sin.f64 b) r)) (pow.f64 (cos.f64 a) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a))))) (.f64 (cos.f64 a) (pow.f64 b 5)))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 1 (.f64 -1/2 (pow.f64 b 2))))
(+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a (.f64 b r))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 2)) (/.f64 (.f64 (sin.f64 b) r) (+.f64 1 (.f64 -1/2 (pow.f64 b 2)))))
(+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a (.f64 r b))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 2)) (+.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 1 (.f64 -1/2 (pow.f64 b 2)))) (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 b 2))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 3))) (/.f64 (.f64 (sin.f64 b) (.f64 r (-.f64 (.f64 1/4 (pow.f64 b 2)) 1/2))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 2)))))))
(+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a (.f64 r b))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 2)) (+.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 1 (.f64 -1/2 (pow.f64 b 2)))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 b 2))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 3))) (/.f64 (.f64 (sin.f64 b) (.f64 r (-.f64 (.f64 1/4 (pow.f64 b 2)) 1/2))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 2))))) (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 b (.f64 r (-.f64 (.f64 1/4 (pow.f64 b 2)) 1/2)))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 3)) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 b) (.f64 b r)) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 2))) (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 b 2))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 3))) (/.f64 (.f64 (sin.f64 b) (.f64 r (-.f64 (.f64 1/4 (pow.f64 b 2)) 1/2))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 2))) b) (+.f64 1 (*.f64 -1/2 (pow.f64 b 2)))))))))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)) b)))
(*.f64 -1/2 b)
(+.f64 (.f64 -1/2 b) (.f64 1/4 (*.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 -1/48 (.f64 (pow.f64 a 4) b)) (.f64 1/4 (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 -1/48 (.f64 (pow.f64 a 4) b)) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 2) b)) (.f64 1/1440 (*.f64 (pow.f64 a 6) b)))))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1/2 (.f64 (cos.f64 a) b))
(.f64 -1 (.f64 (sin.f64 a) b))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))
(*.f64 -1/2 (pow.f64 b 2))
(+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 -1 (*.f64 a b)))
(+.f64 (.f64 -1/2 (pow.f64 b 2)) (+.f64 (.f64 -1 (.f64 a b)) (.f64 1/4 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 -1/2 (pow.f64 b 2)) (+.f64 (.f64 -1 (.f64 a b)) (.f64 1/4 (*.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(.f64 (-.f64 (.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(.f64 (-.f64 (.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(.f64 (-.f64 (.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(.f64 (-.f64 (.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(.f64 (-.f64 (.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(.f64 (-.f64 (.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(.f64 (-.f64 (.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)
(.f64 (-.f64 (.f64 -1/2 (*.f64 (cos.f64 a) b)) (sin.f64 a)) b)

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

eval442.0ms (3.5%)

Compiler: Compiled 30621 to 9551 computations (68.8% saved)

prune332.0ms (2.6%)

Pruning

66 alts after pruning (64 fresh and 2 done)

	Pruned	Kept	Total
New	1027	48	1075
Fresh	30	16	46
Picked	0	1	1
Done	3	1	4
Total	1060	66	1126

Error

0.0b

Counts

1126 → 66

Alt Table

Click to see full alt table

Status	Error	Program
	32.9b	(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
	0.8b	(.f64 r (/.f64 1 (/.f64 (+.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)))) (sin.f64 b))))
	0.4b	(.f64 r (/.f64 1 (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))))
	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)))
	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	0.8b	(/.f64 (.f64 r (sin.f64 b)) (+.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)))))
	36.3b	(*.f64 r (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) 1)))
	44.8b	(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) -2))
	44.5b	(/.f64 (.f64 b r) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (*.f64 1/24 (pow.f64 a 4)))))
	30.6b	(*.f64 r (/.f64 1 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))))
	44.8b	(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b)) 2))
▶	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (expm1.f64 (log1p.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))
	29.7b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
	42.7b	(/.f64 (.f64 b r) (fma.f64 a (.f64 a -1/2) 1))
	25.5b	(*.f64 r (/.f64 1 (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	15.5b	(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3))
	25.5b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
	23.8b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
✓	32.2b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
	41.3b	(/.f64 (pow.f64 (exp.f64 1) (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
	15.4b	(*.f64 r (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) 3)))
▶	41.9b	(*.f64 r b)
	23.8b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	33.0b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 a) b)))
	23.8b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
	14.9b	(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 1 (sin.f64 b)))
▶	43.8b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 b))
	32.9b	(.f64 b (.f64 r (/.f64 1 (cos.f64 a))))
	32.9b	(/.f64 (*.f64 b r) (-.f64 (+.f64 1 (cos.f64 a)) 1))
	47.2b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 a))
	23.8b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 b) (sin.f64 b))))
	36.9b	(/.f64 (-.f64 (+.f64 1 (*.f64 r (sin.f64 b))) 1) (cos.f64 (+.f64 a b)))
	38.7b	(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))))
	14.7b	(*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))
	29.1b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b))) (sqrt.f64 (sin.f64 a)) (.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))))
	32.4b	(/.f64 (.f64 r b) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
	33.0b	(*.f64 b (/.f64 1 (/.f64 (cos.f64 a) r)))
	14.7b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (-.f64 b a)))))
	19.8b	(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	32.2b	(.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)))))))
	30.4b	(.f64 r (.f64 (pow.f64 (cos.f64 (+.f64 b a)) -1/2) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a))))))
	32.2b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b)))))))
	29.7b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	47.3b	(-.f64 (+.f64 1 (*.f64 (/.f64 b (cos.f64 a)) r)) 1)
	14.9b	(.f64 r (/.f64 1 (.f64 (/.f64 1 (sin.f64 b)) (cos.f64 (+.f64 a b)))))
	23.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	0.7b	(.f64 r (/.f64 (sin.f64 b) (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))))))
	49.4b	(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) 3) 1/3)
	14.7b	(.f64 (/.f64 1 (cos.f64 (-.f64 b a))) (.f64 r (sin.f64 b)))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	14.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	14.7b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (sin.f64 b))))
	32.9b	(*.f64 (/.f64 b (cos.f64 a)) r)
	32.2b	(.f64 r (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))))
	14.8b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (-.f64 b a)))))
▶	29.7b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 a) (sin.f64 b))))
▶	15.5b	(/.f64 (.f64 (pow.f64 (cbrt.f64 r) 2) (.f64 (cbrt.f64 r) (sin.f64 b))) (cos.f64 (+.f64 a b)))
	38.9b	(*.f64 r (sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) -2)))
	27.6b	(*.f64 r (/.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))
	0.4b	(.f64 r (/.f64 1 (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b)))))
	27.6b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 2)))
✓	32.9b	(/.f64 (*.f64 b r) (cos.f64 a))
	31.8b	(/.f64 (pow.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 2) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	32.9b	(*.f64 (/.f64 r (cos.f64 a)) b)
	36.0b	(*.f64 r (log.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))

Compiler

Compiled 2253 to 1450 computations (35.6% saved)

localize51.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
	0.1b	(log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
	0.0b	(cos.f64 b)
	0.0b	(cos.f64 a)
✓	0.1b	(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
	0.1b	(*.f64 r (sin.f64 b))
	0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
✓	0.2b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (expm1.f64 (log1p.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))

Compiler

Compiled 75 to 14 computations (81.3% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	r	@	0	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (expm1.f64 (log1p.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))
0.0ms	a	@	0	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (expm1.f64 (log1p.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))
0.0ms	b	@	0	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (expm1.f64 (log1p.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))
0.0ms	a	@	inf	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (expm1.f64 (log1p.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))
0.0ms	b	@	-inf	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (expm1.f64 (log1p.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))

rewrite109.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`log-prod_binary64`
366×	`pow2_binary64`
259×	`pow1/3_binary64`
259×	`fma-def_binary64`
255×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	293	20
2	3957	20

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

Inputs

(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))

(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))

Outputs

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

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

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

641×	`fma-def_binary64`
562×	`associate-l_binary64`
549×	`associate-r_binary64`
356×	`times-frac_binary64`
319×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1715
1	387	1668
2	1359	1628
3	7607	1615

Stop Event

1×	node limit

Counts

153 → 127

Calls

Call 1

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

localize4.0ms (0%)

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

localize138.0ms (1.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (/.f64 (cos.f64 a) (sin.f64 b)))
	0.2b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 a) (sin.f64 b))))
	0.2b	(/.f64 (cos.f64 a) (sin.f64 b))
	0.0b	(cos.f64 a)
	0.0b	(cos.f64 a)
✓	0.2b	(/.f64 (cos.f64 a) (sin.f64 b))
✓	0.2b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 a) (sin.f64 b))))
✓	0.3b	(/.f64 1 (/.f64 (cos.f64 a) (sin.f64 b)))

Compiler

Compiled 32 to 12 computations (62.5% saved)

series17.0ms (0.1%)

Counts

3 → 68

Calls

21 calls:

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

rewrite99.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
406×	`exp-prod_binary64`
348×	`prod-exp_binary64`
286×	`pow-prod-down_binary64`
259×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	205	27
2	2629	27

Stop Event

1×	node limit

Counts

3 → 174

Calls

Call 1

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

Outputs

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

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

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

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

839×	`fma-def_binary64`
680×	`distribute-rgt-neg-in_binary64`
646×	`associate-l_binary64`
598×	`associate-r_binary64`
256×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	1131
1	416	1098
2	1478	1051
3	6551	1049

Stop Event

1×	node limit

Counts

242 → 220

Calls

Call 1

Inputs
(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))))))))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (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))))))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (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 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (.f64 (sin.f64 b) r)))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))) (.f64 1/48 (.f64 (sin.f64 b) r)))) (pow.f64 a 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))
(+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a)))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 r (pow.f64 b 7)) (cos.f64 a))) (+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.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 1 (sin.f64 b))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (sin.f64 b))) (/.f64 1 (sin.f64 b)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 a 4) (sin.f64 b))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) (sin.f64 b))) (/.f64 1 (sin.f64 b))))
(+.f64 (.f64 -1/720 (/.f64 (pow.f64 a 6) (sin.f64 b))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 a 4) (sin.f64 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (sin.f64 b))) (/.f64 1 (sin.f64 b)))))
(/.f64 (cos.f64 a) b)
(+.f64 (.f64 1/6 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 1/6 (.f64 (cos.f64 a) b)) (+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -1/36 (cos.f64 a)) (.f64 1/120 (cos.f64 a))))) (/.f64 (cos.f64 a) b)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 a) b)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/720 (cos.f64 a)) (+.f64 (.f64 -1/5040 (cos.f64 a)) (.f64 1/6 (+.f64 (.f64 -1/36 (cos.f64 a)) (.f64 1/120 (cos.f64 a)))))) (pow.f64 b 5))) (+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -1/36 (cos.f64 a)) (*.f64 1/120 (cos.f64 a))))) (/.f64 (cos.f64 a) b))))

Outputs
(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))
(.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 (pow.f64 a 4) (.f64 (sin.f64 b) -5/24))))
(-.f64 (fma.f64 1/2 (.f64 (sin.f64 b) (.f64 a a)) (sin.f64 b)) (.f64 (sin.f64 b) (.f64 -5/24 (pow.f64 a 4))))
(fma.f64 (sin.f64 b) (.f64 1/2 (.f64 a a)) (fma.f64 (pow.f64 a 4) (*.f64 (sin.f64 b) 5/24) (sin.f64 b)))
(fma.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 1/48 (sin.f64 b) (fma.f64 1/2 (.f64 (sin.f64 b) -5/24) (.f64 (sin.f64 b) -1/720)))) (neg.f64 (.f64 (pow.f64 a 4) (*.f64 (sin.f64 b) -5/24)))))
(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) 1/48 (fma.f64 (sin.f64 b) -1/720 (.f64 (sin.f64 b) -5/48))) (.f64 (sin.f64 b) (*.f64 -5/24 (pow.f64 a 4)))) (sin.f64 b)))
(fma.f64 (sin.f64 b) (.f64 1/2 (.f64 a a)) (fma.f64 (fma.f64 (sin.f64 b) 1/48 (.f64 (sin.f64 b) -19/180)) (neg.f64 (pow.f64 a 6)) (fma.f64 (pow.f64 a 4) (.f64 (sin.f64 b) 5/24) (sin.f64 b))))
(-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (sin.f64 b)) (fma.f64 (sin.f64 b) (.f64 (pow.f64 a 4) -5/24) (.f64 (pow.f64 a 6) (fma.f64 (sin.f64 b) -5/48 (.f64 (sin.f64 b) 7/360)))))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (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))))
(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 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a)) (/.f64 (*.f64 -1/6 (pow.f64 b 3)) (cos.f64 a))))
(fma.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a)) (fma.f64 1/120 (/.f64 (pow.f64 b 5) (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 (.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 -1/5040 (/.f64 (pow.f64 b 7) (cos.f64 a)) (/.f64 (*.f64 -1/6 (pow.f64 b 3)) (cos.f64 a)))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a)) (*.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a)))) (fma.f64 -1/5040 (/.f64 (pow.f64 b 7) (cos.f64 a)) (/.f64 b (cos.f64 a))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a)) (fma.f64 -1/5040 (/.f64 (pow.f64 b 7) (cos.f64 a)) (*.f64 (/.f64 1/120 (cos.f64 a)) (pow.f64 b 5)))))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (sin.f64 b) r)
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (.f64 (sin.f64 b) r))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 (.f64 a a) r)) (.f64 (sin.f64 b) r))
(fma.f64 (sin.f64 b) r (.f64 (sin.f64 b) (.f64 (.f64 a (.f64 a r)) 1/2)))
(.f64 (sin.f64 b) (+.f64 r (.f64 1/2 (.f64 a (.f64 a r)))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (.f64 (sin.f64 b) r)))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 (.f64 a a) r)) (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) -5/24)) (*.f64 (sin.f64 b) r)))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 a (.f64 a r))) (-.f64 (.f64 (sin.f64 b) r) (.f64 (pow.f64 a 4) (.f64 (*.f64 (sin.f64 b) r) -5/24))))
(fma.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) 5/24) (.f64 (sin.f64 b) (+.f64 r (.f64 1/2 (.f64 a (.f64 a r))))))
(fma.f64 (pow.f64 a 4) (.f64 (sin.f64 b) (.f64 r 5/24)) (.f64 (sin.f64 b) (+.f64 r (.f64 1/2 (.f64 a (.f64 a r))))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))) (.f64 1/48 (.f64 (sin.f64 b) r)))) (pow.f64 a 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (*.f64 (sin.f64 b) r))))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 (.f64 a a) r)) (fma.f64 -1 (.f64 (pow.f64 a 6) (fma.f64 -1/720 (.f64 (sin.f64 b) r) (fma.f64 1/2 (.f64 (.f64 (sin.f64 b) r) -5/24) (.f64 1/48 (.f64 (sin.f64 b) r))))) (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) -5/24)) (*.f64 (sin.f64 b) r))))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 a (.f64 a r))) (-.f64 (-.f64 (.f64 (sin.f64 b) r) (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) -5/24))) (.f64 (pow.f64 a 6) (fma.f64 -1/720 (.f64 (sin.f64 b) r) (fma.f64 1/48 (.f64 (sin.f64 b) r) (.f64 (.f64 (sin.f64 b) r) -5/48))))))
(-.f64 (fma.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) 5/24) (.f64 (sin.f64 b) (+.f64 r (.f64 1/2 (.f64 a (.f64 a r)))))) (.f64 (pow.f64 a 6) (fma.f64 (sin.f64 b) (.f64 -1/720 r) (.f64 (.f64 (sin.f64 b) r) -1/12))))
(-.f64 (.f64 (sin.f64 b) (+.f64 r (.f64 1/2 (.f64 a (.f64 a r))))) (fma.f64 (pow.f64 a 6) (fma.f64 (sin.f64 b) (.f64 -1/720 r) (.f64 (.f64 (sin.f64 b) r) -1/12)) (.f64 (sin.f64 b) (.f64 r (.f64 (pow.f64 a 4) -5/24)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))
(+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 a))))
(fma.f64 -1/6 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 3)) (.f64 (/.f64 r (cos.f64 a)) b))
(fma.f64 (/.f64 b (cos.f64 a)) r (.f64 -1/6 (.f64 (pow.f64 b 3) (/.f64 r (cos.f64 a)))))
(fma.f64 (/.f64 b (cos.f64 a)) r (*.f64 -1/6 (/.f64 (pow.f64 b 3) (/.f64 (cos.f64 a) r))))
(+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a)))))
(fma.f64 1/120 (/.f64 r (/.f64 (cos.f64 a) (pow.f64 b 5))) (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 a)))))
(fma.f64 1/120 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 5)) (fma.f64 -1/6 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 3)) (*.f64 (/.f64 r (cos.f64 a)) b)))
(fma.f64 (/.f64 b (cos.f64 a)) r (fma.f64 1/120 (.f64 (pow.f64 b 5) (/.f64 r (cos.f64 a))) (.f64 -1/6 (*.f64 (pow.f64 b 3) (/.f64 r (cos.f64 a))))))
(fma.f64 (/.f64 b (cos.f64 a)) r (fma.f64 -1/6 (/.f64 (pow.f64 b 3) (/.f64 (cos.f64 a) r)) (.f64 (/.f64 1/120 (cos.f64 a)) (.f64 (pow.f64 b 5) r))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 r (pow.f64 b 7)) (cos.f64 a))) (+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))))
(fma.f64 -1/5040 (/.f64 r (/.f64 (cos.f64 a) (pow.f64 b 7))) (fma.f64 1/120 (/.f64 r (/.f64 (cos.f64 a) (pow.f64 b 5))) (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 a))))))
(fma.f64 -1/5040 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 7)) (fma.f64 1/120 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 5)) (fma.f64 -1/6 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 3)) (.f64 (/.f64 r (cos.f64 a)) b))))
(fma.f64 1/120 (.f64 (pow.f64 b 5) (/.f64 r (cos.f64 a))) (fma.f64 -1/5040 (.f64 (/.f64 (pow.f64 b 7) (cos.f64 a)) r) (fma.f64 (/.f64 b (cos.f64 a)) r (.f64 -1/6 (.f64 (pow.f64 b 3) (/.f64 r (cos.f64 a)))))))
(fma.f64 -1/5040 (.f64 (/.f64 (pow.f64 b 7) (cos.f64 a)) r) (fma.f64 (/.f64 b (cos.f64 a)) r (fma.f64 -1/6 (/.f64 (pow.f64 b 3) (/.f64 (cos.f64 a) r)) (.f64 (/.f64 1/120 (cos.f64 a)) (*.f64 (pow.f64 b 5) r)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 1 (sin.f64 b))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (sin.f64 b))) (/.f64 1 (sin.f64 b)))
(fma.f64 -1/2 (/.f64 (*.f64 a a) (sin.f64 b)) (/.f64 1 (sin.f64 b)))
(fma.f64 -1/2 (*.f64 (/.f64 a (sin.f64 b)) a) (/.f64 1 (sin.f64 b)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 a 4) (sin.f64 b))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) (sin.f64 b))) (/.f64 1 (sin.f64 b))))
(fma.f64 1/24 (/.f64 (pow.f64 a 4) (sin.f64 b)) (fma.f64 -1/2 (/.f64 (*.f64 a a) (sin.f64 b)) (/.f64 1 (sin.f64 b))))
(fma.f64 -1/2 (*.f64 (/.f64 a (sin.f64 b)) a) (fma.f64 1/24 (/.f64 (pow.f64 a 4) (sin.f64 b)) (/.f64 1 (sin.f64 b))))
(fma.f64 -1/2 (/.f64 (*.f64 a a) (sin.f64 b)) (fma.f64 1/24 (/.f64 (pow.f64 a 4) (sin.f64 b)) (/.f64 1 (sin.f64 b))))
(+.f64 (.f64 -1/720 (/.f64 (pow.f64 a 6) (sin.f64 b))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 a 4) (sin.f64 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (sin.f64 b))) (/.f64 1 (sin.f64 b)))))
(fma.f64 -1/720 (/.f64 (pow.f64 a 6) (sin.f64 b)) (fma.f64 1/24 (/.f64 (pow.f64 a 4) (sin.f64 b)) (fma.f64 -1/2 (/.f64 (*.f64 a a) (sin.f64 b)) (/.f64 1 (sin.f64 b)))))
(fma.f64 1/24 (/.f64 (pow.f64 a 4) (sin.f64 b)) (fma.f64 -1/720 (/.f64 (pow.f64 a 6) (sin.f64 b)) (fma.f64 -1/2 (*.f64 (/.f64 a (sin.f64 b)) a) (/.f64 1 (sin.f64 b)))))
(fma.f64 -1/720 (/.f64 (pow.f64 a 6) (sin.f64 b)) (fma.f64 -1/2 (/.f64 (*.f64 a a) (sin.f64 b)) (fma.f64 1/24 (/.f64 (pow.f64 a 4) (sin.f64 b)) (/.f64 1 (sin.f64 b)))))
(/.f64 (cos.f64 a) b)
(+.f64 (.f64 1/6 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 1/6 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))
(fma.f64 (cos.f64 a) (*.f64 b 1/6) (/.f64 (cos.f64 a) b))
(fma.f64 b (*.f64 (cos.f64 a) 1/6) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 1/6 (.f64 (cos.f64 a) b)) (+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -1/36 (cos.f64 a)) (.f64 1/120 (cos.f64 a))))) (/.f64 (cos.f64 a) b)))
(fma.f64 1/6 (.f64 b (cos.f64 a)) (fma.f64 -1 (.f64 (pow.f64 b 3) (*.f64 (cos.f64 a) -7/360)) (/.f64 (cos.f64 a) b)))
(fma.f64 1/6 (.f64 b (cos.f64 a)) (-.f64 (/.f64 (cos.f64 a) b) (.f64 (cos.f64 a) (*.f64 -7/360 (pow.f64 b 3)))))
(+.f64 (/.f64 (cos.f64 a) b) (.f64 (cos.f64 a) (-.f64 (.f64 b 1/6) (*.f64 (pow.f64 b 3) -7/360))))
(+.f64 (/.f64 (cos.f64 a) b) (.f64 (cos.f64 a) (+.f64 (.f64 b 1/6) (*.f64 (pow.f64 b 3) 7/360))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 a) b)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/720 (cos.f64 a)) (+.f64 (.f64 -1/5040 (cos.f64 a)) (.f64 1/6 (+.f64 (.f64 -1/36 (cos.f64 a)) (.f64 1/120 (cos.f64 a)))))) (pow.f64 b 5))) (+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -1/36 (cos.f64 a)) (*.f64 1/120 (cos.f64 a))))) (/.f64 (cos.f64 a) b))))
(fma.f64 1/6 (.f64 b (cos.f64 a)) (fma.f64 -1 (.f64 (pow.f64 b 5) (fma.f64 1/720 (cos.f64 a) (fma.f64 -1/5040 (cos.f64 a) (.f64 1/6 (.f64 (cos.f64 a) -7/360))))) (fma.f64 -1 (.f64 (pow.f64 b 3) (.f64 (cos.f64 a) -7/360)) (/.f64 (cos.f64 a) b))))
(fma.f64 1/6 (.f64 b (cos.f64 a)) (-.f64 (-.f64 (/.f64 (cos.f64 a) b) (.f64 (cos.f64 a) (.f64 -7/360 (pow.f64 b 3)))) (.f64 (pow.f64 b 5) (+.f64 (.f64 (cos.f64 a) -7/2160) (.f64 (cos.f64 a) 1/840)))))
(+.f64 (.f64 (cos.f64 a) (-.f64 (.f64 b 1/6) (.f64 (pow.f64 b 3) -7/360))) (fma.f64 (.f64 (cos.f64 a) -31/15120) (neg.f64 (pow.f64 b 5)) (/.f64 (cos.f64 a) b)))
(+.f64 (.f64 (cos.f64 a) (+.f64 (.f64 b 1/6) (.f64 (pow.f64 b 3) 7/360))) (fma.f64 (pow.f64 b 5) (.f64 (cos.f64 a) 31/15120) (/.f64 (cos.f64 a) b)))

localize35.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.4b	(exp.f64 (log.f64 (*.f64 r (sin.f64 b))))
	0.1b	(*.f64 r (sin.f64 b))
	0.1b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 b))
	0.0b	(cos.f64 b)
✓	0.1b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 b))
	0.1b	(*.f64 r (sin.f64 b))
	2.4b	(exp.f64 (log.f64 (*.f64 r (sin.f64 b))))
	6.7b	(log.f64 (*.f64 r (sin.f64 b)))

Compiler

Compiled 33 to 9 computations (72.7% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite134.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

855×	`pow1_binary64`
787×	`add-log-exp_binary64`
787×	`log1p-expm1-u_binary64`
787×	`expm1-log1p-u_binary64`
769×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	167	11
2	2082	11

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

628×	`unsub-neg_binary64`
507×	`associate-l_binary64`
447×	`associate-+l+_binary64`
431×	`associate-r_binary64`
356×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	355
1	118	331
2	335	306
3	1484	299
4	6404	299

Stop Event

1×	node limit

Counts

63 → 49

Calls

Call 1

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

Outputs
(/.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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 r b)
(*.f64 b r)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (.f64 b r))
(.f64 r (+.f64 b (.f64 (pow.f64 b 3) 1/3)))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3)))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (pow.f64 b 5) (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (.f64 b r)))
(fma.f64 (pow.f64 b 5) (.f64 r 2/15) (.f64 r (+.f64 b (*.f64 (pow.f64 b 3) 1/3))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (.f64 r 1/3)))) (fma.f64 -1/720 r (.f64 (.f64 r 1/3) 1/24)))) (pow.f64 b 7) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (fma.f64 r -1/720 (.f64 r 1/72)))) (pow.f64 b 7) (fma.f64 (pow.f64 b 5) (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (.f64 b r))))
(fma.f64 (-.f64 (fma.f64 r -1/5040 (.f64 (.f64 r 2/15) 1/2)) (.f64 r 1/80)) (pow.f64 b 7) (fma.f64 (pow.f64 b 5) (.f64 r 2/15) (.f64 r (+.f64 b (.f64 (pow.f64 b 3) 1/3)))))
(fma.f64 (+.f64 (.f64 r 1/15) (.f64 r -4/315)) (pow.f64 b 7) (fma.f64 (pow.f64 b 5) (.f64 r 2/15) (.f64 r (+.f64 b (*.f64 (pow.f64 b 3) 1/3)))))
(/.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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))

localize38.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (cbrt.f64 r) 2)
	0.3b	(*.f64 (cbrt.f64 r) (sin.f64 b))
	0.3b	(.f64 (pow.f64 (cbrt.f64 r) 2) (.f64 (cbrt.f64 r) (sin.f64 b)))
	0.3b	(/.f64 (.f64 (pow.f64 (cbrt.f64 r) 2) (.f64 (cbrt.f64 r) (sin.f64 b))) (cos.f64 (+.f64 a b)))
✓	0.3b	(*.f64 (cbrt.f64 r) (sin.f64 b))
✓	0.5b	(pow.f64 (cbrt.f64 r) 2)
✓	0.6b	(cbrt.f64 r)
	3.4b	(cos.f64 (+.f64 a b))

Compiler

Compiled 52 to 18 computations (65.4% saved)

series10.0ms (0.1%)

Counts

3 → 12

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(*.f64 (cbrt.f64 r) (sin.f64 b))
1.0ms	b	@	0	(*.f64 (cbrt.f64 r) (sin.f64 b))
1.0ms	r	@	-inf	(pow.f64 (cbrt.f64 r) 2)
1.0ms	r	@	-inf	(cbrt.f64 r)
1.0ms	r	@	0	(cbrt.f64 r)

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`pow1_binary64`
607×	`add-log-exp_binary64`
607×	`log1p-expm1-u_binary64`
607×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	159	17
2	1730	17

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs
(cbrt.f64 r)
(pow.f64 (cbrt.f64 r) 2)
(*.f64 (cbrt.f64 r) (sin.f64 b))

Outputs

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

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

simplify130.0ms (1%)

Algorithm

1×	egg-herbie

Rules

718×	`associate-r_binary64`
710×	`distribute-lft-in_binary64`
668×	`unswap-sqr_binary64`
666×	`fma-def_binary64`
650×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	160
1	79	160
2	223	150
3	824	134
4	3121	134
5	5429	134
6	6141	134
7	6662	134
8	6787	134
9	6938	134
10	7132	134
11	7373	134
12	7650	134

Stop Event

1×	node limit

Counts

61 → 59

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 1 r) 1/3) b)
(*.f64 (cbrt.f64 r) b)
(+.f64 (.f64 (pow.f64 (.f64 1 r) 1/3) b) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 r) 1/3) (pow.f64 b 3))))
(fma.f64 (cbrt.f64 r) b (.f64 (.f64 -1/6 (cbrt.f64 r)) (pow.f64 b 3)))
(fma.f64 (.f64 (cbrt.f64 r) -1/6) (pow.f64 b 3) (.f64 (cbrt.f64 r) b))
(.f64 (cbrt.f64 r) (+.f64 b (.f64 -1/6 (pow.f64 b 3))))
(*.f64 (cbrt.f64 r) (fma.f64 -1/6 (pow.f64 b 3) b))
(+.f64 (.f64 (pow.f64 (.f64 1 r) 1/3) b) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 r) 1/3) (pow.f64 b 3))) (.f64 1/120 (.f64 (pow.f64 (.f64 1 r) 1/3) (pow.f64 b 5)))))
(fma.f64 (cbrt.f64 r) b (fma.f64 -1/6 (.f64 (cbrt.f64 r) (pow.f64 b 3)) (.f64 1/120 (*.f64 (cbrt.f64 r) (pow.f64 b 5)))))
(fma.f64 (cbrt.f64 r) (.f64 1/120 (pow.f64 b 5)) (.f64 (cbrt.f64 r) (+.f64 b (*.f64 -1/6 (pow.f64 b 3)))))
(.f64 (cbrt.f64 r) (+.f64 b (fma.f64 -1/6 (pow.f64 b 3) (.f64 1/120 (pow.f64 b 5)))))
(.f64 (cbrt.f64 r) (+.f64 (.f64 1/120 (pow.f64 b 5)) (fma.f64 -1/6 (pow.f64 b 3) b)))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 1 r) 1/3) (pow.f64 b 7))) (+.f64 (.f64 (pow.f64 (.f64 1 r) 1/3) b) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 r) 1/3) (pow.f64 b 3))) (.f64 1/120 (.f64 (pow.f64 (*.f64 1 r) 1/3) (pow.f64 b 5))))))
(fma.f64 -1/5040 (.f64 (cbrt.f64 r) (pow.f64 b 7)) (fma.f64 (cbrt.f64 r) b (fma.f64 -1/6 (.f64 (cbrt.f64 r) (pow.f64 b 3)) (.f64 1/120 (.f64 (cbrt.f64 r) (pow.f64 b 5))))))
(+.f64 (.f64 (cbrt.f64 r) (+.f64 b (.f64 -1/6 (pow.f64 b 3)))) (.f64 (cbrt.f64 r) (+.f64 (.f64 1/120 (pow.f64 b 5)) (*.f64 -1/5040 (pow.f64 b 7)))))
(.f64 (cbrt.f64 r) (+.f64 (fma.f64 -1/6 (pow.f64 b 3) (.f64 1/120 (pow.f64 b 5))) (fma.f64 -1/5040 (pow.f64 b 7) b)))
(.f64 (cbrt.f64 r) (+.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (fma.f64 1/120 (pow.f64 b 5) (.f64 -1/5040 (pow.f64 b 7)))))
(.f64 (pow.f64 (.f64 1 r) 1/3) (sin.f64 b))
(*.f64 (cbrt.f64 r) (sin.f64 b))
(.f64 (pow.f64 (.f64 1 r) 1/3) (sin.f64 b))
(*.f64 (cbrt.f64 r) (sin.f64 b))
(.f64 (pow.f64 (.f64 1 r) 1/3) (sin.f64 b))
(*.f64 (cbrt.f64 r) (sin.f64 b))
(.f64 (pow.f64 (.f64 1 r) 1/3) (sin.f64 b))
(*.f64 (cbrt.f64 r) (sin.f64 b))
(.f64 (pow.f64 (.f64 1 r) 1/3) (sin.f64 b))
(*.f64 (cbrt.f64 r) (sin.f64 b))
(.f64 (pow.f64 (.f64 1 r) 1/3) (sin.f64 b))
(*.f64 (cbrt.f64 r) (sin.f64 b))
(.f64 (pow.f64 (.f64 1 r) 1/3) (sin.f64 b))
(*.f64 (cbrt.f64 r) (sin.f64 b))
(.f64 (pow.f64 (.f64 1 r) 1/3) (sin.f64 b))
(*.f64 (cbrt.f64 r) (sin.f64 b))

eval403.0ms (3.2%)

Compiler: Compiled 14412 to 5401 computations (62.5% saved)

prune873.0ms (6.9%)

Pruning

82 alts after pruning (76 fresh and 6 done)

	Pruned	Kept	Total
New	713	42	755
Fresh	25	34	59
Picked	1	0	1
Done	0	6	6
Total	739	82	821

Error

0.0b

Counts

821 → 82

Alt Table

Click to see full alt table

Status	Error	Program
	24.3b	(/.f64 (.f64 (.f64 (sin.f64 b) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r)) (cos.f64 b))
	0.8b	(.f64 r (/.f64 1 (/.f64 (+.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)))) (sin.f64 b))))
	0.4b	(.f64 r (/.f64 1 (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))))
	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)))
	46.4b	(sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) 2))
	0.8b	(/.f64 (.f64 r (sin.f64 b)) (+.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)))))
▶	29.7b	(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
	44.8b	(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) -2))
	33.0b	(/.f64 r (/.f64 (cos.f64 a) b))
	32.9b	(*.f64 b (/.f64 r (cos.f64 a)))
	42.6b	(.f64 (/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 1) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 b)))
	30.6b	(*.f64 r (/.f64 1 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)))))
	43.8b	(/.f64 (pow.f64 (exp.f64 1) (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 b))
	46.6b	(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))) 3))
	32.9b	(*.f64 r (/.f64 b (cos.f64 a)))
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (expm1.f64 (log1p.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))
	42.7b	(/.f64 (.f64 b r) (fma.f64 a (.f64 a -1/2) 1))
	25.5b	(*.f64 r (/.f64 1 (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	25.5b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
▶	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	46.6b	(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))) 1/3))
	23.8b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
✓	32.2b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
	41.3b	(/.f64 (pow.f64 (exp.f64 1) (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
	29.8b	(/.f64 (/.f64 r (cos.f64 a)) (/.f64 1 (sin.f64 b)))
▶	42.3b	(exp.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))))
	24.0b	(pow.f64 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))) -1)
	23.8b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
	50.7b	(*.f64 r (log.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 a)))))
	32.9b	(.f64 b (.f64 r (/.f64 1 (cos.f64 a))))
	57.9b	(exp.f64 (+.f64 (log.f64 r) (*.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 a))) 1)))
✓	41.9b	(*.f64 r b)
	56.7b	(/.f64 (exp.f64 (+.f64 (log.f64 (sin.f64 b)) (log.f64 r))) (cos.f64 b))
✓	43.8b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 b))
	46.8b	(*.f64 r (pow.f64 (sqrt.f64 (/.f64 (cos.f64 a) (sin.f64 b))) -2))
	32.9b	(/.f64 (*.f64 b r) (-.f64 (+.f64 1 (cos.f64 a)) 1))
	47.2b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 a))
	47.9b	(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) 2))
	23.8b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 b) (sin.f64 b))))
	38.7b	(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))))
	44.8b	(*.f64 r (sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 2)))
	14.7b	(*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))
	29.1b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b))) (sqrt.f64 (sin.f64 a)) (.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))))
	32.4b	(/.f64 (.f64 r b) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
	46.5b	(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)))
	32.2b	(.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)))))))
	23.8b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
	47.3b	(-.f64 (+.f64 1 (*.f64 (/.f64 b (cos.f64 a)) r)) 1)
	24.3b	(pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))) 3)
	38.8b	(*.f64 r (/.f64 1 (/.f64 1 (sin.f64 b))))
	23.8b	(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
	44.8b	(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 2))
	29.7b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	23.8b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
▶	38.7b	(*.f64 r (sin.f64 b))
	46.6b	(pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)))
	14.9b	(.f64 r (/.f64 1 (.f64 (/.f64 1 (sin.f64 b)) (cos.f64 (+.f64 a b)))))
	30.1b	(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) (sin.f64 b))) -3))
	41.9b	(/.f64 (*.f64 r b) (cos.f64 b))
	0.7b	(.f64 r (/.f64 (sin.f64 b) (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))))))
	47.0b	(*.f64 r (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 a) (sin.f64 b)))) 1)))
	33.0b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 a) b)))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	14.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	14.7b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (sin.f64 b))))
	49.8b	(pow.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) 3) 1/3)
	40.4b	(/.f64 (-.f64 (+.f64 1 (*.f64 r (sin.f64 b))) 1) (cos.f64 b))
	42.5b	(.f64 r (+.f64 b (.f64 (pow.f64 b 3) 1/3)))
✓	29.7b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 a) (sin.f64 b))))
	30.1b	(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))) 3))
▶	32.2b	(.f64 r (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))))
	34.5b	(*.f64 r (/.f64 1 (/.f64 (sqrt.f64 (pow.f64 (cos.f64 a) 2)) (sin.f64 b))))
	24.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 b))
	27.6b	(*.f64 r (/.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))
	31.8b	(/.f64 (pow.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 2) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	42.5b	(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
	0.4b	(.f64 r (/.f64 1 (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b)))))
	27.6b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 2)))
✓	32.9b	(/.f64 (*.f64 b r) (cos.f64 a))
	23.8b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))

Compiler

Compiled 2496 to 1686 computations (32.5% saved)

localize22.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 55 to 12 computations (78.2% saved)

series12.0ms (0.1%)

Counts

4 → 28

Calls

27 calls:

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

rewrite110.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`log-prod_binary64`
549×	`fma-def_binary64`
291×	`fma-neg_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 267

Calls

Call 1

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

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

simplify126.0ms (1%)

Algorithm

1×	egg-herbie

Rules

712×	`associate-l_binary64`
682×	`associate-r_binary64`
356×	`times-frac_binary64`
311×	`associate-/l*_binary64`
296×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	967
1	499	917
2	1725	872
3	7984	863

Stop Event

1×	node limit

Counts

295 → 321

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.3b	(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
	0.2b	(/.f64 (cos.f64 a) (sin.f64 b))
	0.0b	(cos.f64 a)
	0.0b	(cos.f64 a)
	0.2b	(/.f64 (cos.f64 a) (sin.f64 b))
✓	0.3b	(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

970×	`pow1_binary64`
896×	`add-log-exp_binary64`
896×	`log1p-expm1-u_binary64`
896×	`expm1-log1p-u_binary64`
89×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	169	11
2	2363	11

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

635×	`fma-neg_binary64`
330×	`fma-def_binary64`
322×	`associate-+l+_binary64`
322×	`distribute-rgt-neg-in_binary64`
307×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	584
1	192	572
2	635	550
3	2842	513

Stop Event

1×	node limit

Counts

78 → 58

Calls

Call 1

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

Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (sin.f64 b) r)
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (.f64 (sin.f64 b) r))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 r (.f64 a a))) (.f64 (sin.f64 b) r))
(fma.f64 (sin.f64 b) r (.f64 (sin.f64 b) (.f64 (.f64 r (.f64 a a)) 1/2)))
(.f64 (sin.f64 b) (+.f64 r (.f64 r (.f64 (.f64 a a) 1/2))))
(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 (sin.f64 b) r))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (.f64 (sin.f64 b) r)))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 r (.f64 a a))) (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) -5/24)) (*.f64 (sin.f64 b) r)))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 r (.f64 a a))) (-.f64 (.f64 (sin.f64 b) r) (.f64 (.f64 (sin.f64 b) r) (*.f64 -5/24 (pow.f64 a 4)))))
(fma.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) 5/24) (.f64 (sin.f64 b) (+.f64 r (.f64 r (.f64 (.f64 a a) 1/2)))))
(.f64 (sin.f64 b) (-.f64 (+.f64 r (.f64 r (.f64 (.f64 a a) 1/2))) (.f64 r (.f64 (pow.f64 a 4) -5/24))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))) (.f64 1/48 (.f64 (sin.f64 b) r)))) (pow.f64 a 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (*.f64 (sin.f64 b) r))))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 r (.f64 a a))) (fma.f64 -1 (.f64 (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) 1/48))) (pow.f64 a 6)) (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) -5/24)) (*.f64 (sin.f64 b) r))))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 r (.f64 a a))) (fma.f64 (neg.f64 (fma.f64 (.f64 (sin.f64 b) r) -1/720 (fma.f64 (.f64 (sin.f64 b) r) 1/48 (.f64 (.f64 (sin.f64 b) r) -5/48)))) (pow.f64 a 6) (-.f64 (.f64 (sin.f64 b) r) (.f64 (.f64 (sin.f64 b) r) (*.f64 -5/24 (pow.f64 a 4))))))
(fma.f64 (fma.f64 (sin.f64 b) (.f64 r 1/48) (.f64 (.f64 (sin.f64 b) r) -19/180)) (neg.f64 (pow.f64 a 6)) (fma.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) 5/24) (.f64 (sin.f64 b) (+.f64 r (.f64 r (.f64 (*.f64 a a) 1/2))))))
(-.f64 (.f64 (sin.f64 b) (-.f64 (+.f64 r (.f64 r (.f64 (.f64 a a) 1/2))) (.f64 r (.f64 (pow.f64 a 4) -5/24)))) (.f64 (.f64 (*.f64 (sin.f64 b) r) -61/720) (pow.f64 a 6)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))
(+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (/.f64 (.f64 -1/6 (*.f64 r (pow.f64 b 3))) (cos.f64 a)))
(fma.f64 -1/6 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 3)) (.f64 (/.f64 r (cos.f64 a)) b))
(fma.f64 -1/6 (.f64 (pow.f64 b 3) (/.f64 r (cos.f64 a))) (.f64 b (/.f64 r (cos.f64 a))))
(.f64 (/.f64 r (cos.f64 a)) (+.f64 b (.f64 -1/6 (pow.f64 b 3))))
(+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a)))))
(fma.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a)) (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (/.f64 (.f64 -1/6 (.f64 r (pow.f64 b 3))) (cos.f64 a))))
(fma.f64 1/120 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 5)) (fma.f64 -1/6 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 3)) (*.f64 (/.f64 r (cos.f64 a)) b)))
(fma.f64 1/120 (.f64 (pow.f64 b 5) (/.f64 r (cos.f64 a))) (fma.f64 -1/6 (.f64 (pow.f64 b 3) (/.f64 r (cos.f64 a))) (*.f64 b (/.f64 r (cos.f64 a)))))
(fma.f64 -1/6 (.f64 (pow.f64 b 3) (/.f64 r (cos.f64 a))) (.f64 (/.f64 r (cos.f64 a)) (+.f64 b (*.f64 1/120 (pow.f64 b 5)))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 r (pow.f64 b 7)) (cos.f64 a))) (+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))))
(fma.f64 -1/5040 (/.f64 (.f64 r (pow.f64 b 7)) (cos.f64 a)) (fma.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a)) (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (/.f64 (.f64 -1/6 (*.f64 r (pow.f64 b 3))) (cos.f64 a)))))
(fma.f64 -1/5040 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 7)) (fma.f64 1/120 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 5)) (fma.f64 -1/6 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 3)) (.f64 (/.f64 r (cos.f64 a)) b))))
(fma.f64 1/120 (.f64 (pow.f64 b 5) (/.f64 r (cos.f64 a))) (fma.f64 -1/5040 (.f64 (pow.f64 b 7) (/.f64 r (cos.f64 a))) (fma.f64 -1/6 (.f64 (pow.f64 b 3) (/.f64 r (cos.f64 a))) (.f64 b (/.f64 r (cos.f64 a))))))
(+.f64 (.f64 (/.f64 r (cos.f64 a)) (+.f64 b (.f64 -1/6 (pow.f64 b 3)))) (.f64 (/.f64 r (cos.f64 a)) (+.f64 (.f64 1/120 (pow.f64 b 5)) (*.f64 -1/5040 (pow.f64 b 7)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.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 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.4b	(exp.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))))
	0.3b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
	0.1b	(/.f64 (cos.f64 b) (sin.f64 b))
	0.0b	(cos.f64 b)
✓	0.1b	(/.f64 (cos.f64 b) (sin.f64 b))
✓	0.3b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
✓	2.4b	(exp.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))))
✓	6.7b	(log.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))))

Compiler

Compiled 38 to 9 computations (76.3% saved)

series257.0ms (2%)

Counts

4 → 76

Calls

21 calls:

Time	Variable		Point	Expression
159.0ms	b	@	-inf	(log.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))))
50.0ms	b	@	inf	(log.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))))
16.0ms	r	@	0	(log.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))))
16.0ms	r	@	-inf	(log.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))))
7.0ms	r	@	inf	(log.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))))

rewrite188.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

953×	`pow1_binary64`
881×	`add-log-exp_binary64`
881×	`log1p-expm1-u_binary64`
881×	`expm1-log1p-u_binary64`
860×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	43
1	175	26
2	2340	26

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

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

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

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

481×	`associate-r_binary64`
475×	`associate-l_binary64`
398×	`fma-def_binary64`
337×	`cancel-sign-sub-inv_binary64`
234×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1364
1	321	1241
2	1013	1082
3	6117	1076

Stop Event

1×	node limit

Counts

235 → 146

Calls

Call 1

Inputs
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 r))) (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 r))) (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 r))) (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 r))) (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))))
(+.f64 (log.f64 (.f64 -1 (/.f64 (sin.f64 b) (cos.f64 b)))) (.f64 -1 (log.f64 (/.f64 -1 r))))
(+.f64 (log.f64 (.f64 -1 (/.f64 (sin.f64 b) (cos.f64 b)))) (.f64 -1 (log.f64 (/.f64 -1 r))))
(+.f64 (log.f64 (.f64 -1 (/.f64 (sin.f64 b) (cos.f64 b)))) (.f64 -1 (log.f64 (/.f64 -1 r))))
(+.f64 (log.f64 (.f64 -1 (/.f64 (sin.f64 b) (cos.f64 b)))) (.f64 -1 (log.f64 (/.f64 -1 r))))
(+.f64 (log.f64 b) (log.f64 r))
(+.f64 (log.f64 b) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 2)) r) (log.f64 r)))
(+.f64 (log.f64 b) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 2)) r) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) 2) (pow.f64 r 2))) (.f64 24 (/.f64 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))) r))) (pow.f64 b 4))) (log.f64 r))))
(+.f64 (.f64 1/720 (.f64 (pow.f64 b 6) (+.f64 (.f64 240 (/.f64 (pow.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) 3) (pow.f64 r 3))) (+.f64 (.f64 -720 (/.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 r 2))) (.f64 720 (/.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) r)))))) (+.f64 (log.f64 b) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 2)) r) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) 2) (pow.f64 r 2))) (.f64 24 (/.f64 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))) r))) (pow.f64 b 4))) (log.f64 r)))))
(log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r b)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r b)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 1 b)
(+.f64 (*.f64 -1/3 b) (/.f64 1 b))
(+.f64 (.f64 -1/3 b) (+.f64 (/.f64 1 b) (.f64 -1/45 (pow.f64 b 3))))
(+.f64 (.f64 -1/3 b) (+.f64 (.f64 -2/945 (pow.f64 b 5)) (+.f64 (/.f64 1 b) (*.f64 -1/45 (pow.f64 b 3)))))

Outputs
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 r))) (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 r))) (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 r))) (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 r))) (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(+.f64 (log.f64 (.f64 -1 (/.f64 (sin.f64 b) (cos.f64 b)))) (.f64 -1 (log.f64 (/.f64 -1 r))))
(+.f64 (log.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) (neg.f64 (log.f64 (/.f64 -1 r))))
(-.f64 (log.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b))) (log.f64 (/.f64 -1 r)))
(-.f64 (log.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) (log.f64 (/.f64 -1 r)))
(+.f64 (log.f64 (.f64 -1 (/.f64 (sin.f64 b) (cos.f64 b)))) (.f64 -1 (log.f64 (/.f64 -1 r))))
(+.f64 (log.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) (neg.f64 (log.f64 (/.f64 -1 r))))
(-.f64 (log.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b))) (log.f64 (/.f64 -1 r)))
(-.f64 (log.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) (log.f64 (/.f64 -1 r)))
(+.f64 (log.f64 (.f64 -1 (/.f64 (sin.f64 b) (cos.f64 b)))) (.f64 -1 (log.f64 (/.f64 -1 r))))
(+.f64 (log.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) (neg.f64 (log.f64 (/.f64 -1 r))))
(-.f64 (log.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b))) (log.f64 (/.f64 -1 r)))
(-.f64 (log.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) (log.f64 (/.f64 -1 r)))
(+.f64 (log.f64 (.f64 -1 (/.f64 (sin.f64 b) (cos.f64 b)))) (.f64 -1 (log.f64 (/.f64 -1 r))))
(+.f64 (log.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) (neg.f64 (log.f64 (/.f64 -1 r))))
(-.f64 (log.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b))) (log.f64 (/.f64 -1 r)))
(-.f64 (log.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) (log.f64 (/.f64 -1 r)))
(+.f64 (log.f64 b) (log.f64 r))
(+.f64 (log.f64 r) (log.f64 b))
(+.f64 (log.f64 b) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1/6 r) (*.f64 -1/2 r)) (pow.f64 b 2)) r) (log.f64 r)))
(+.f64 (log.f64 b) (+.f64 (log.f64 r) (/.f64 (.f64 r 1/3) (/.f64 r (.f64 b b)))))
(+.f64 (log.f64 r) (+.f64 (log.f64 b) (.f64 (/.f64 (.f64 r 1/3) r) (*.f64 b b))))
(+.f64 (log.f64 r) (fma.f64 1/3 (*.f64 b b) (log.f64 b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 2)) r) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) 2) (pow.f64 r 2))) (.f64 24 (/.f64 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))) r))) (pow.f64 b 4))) (log.f64 r))))
(+.f64 (+.f64 (log.f64 b) (/.f64 (.f64 r 1/3) (/.f64 r (.f64 b b)))) (fma.f64 1/24 (.f64 (fma.f64 -12 (/.f64 (pow.f64 (.f64 r 1/3) 2) (.f64 r r)) (.f64 24 (/.f64 (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3)))) r))) (pow.f64 b 4)) (log.f64 r)))
(+.f64 (fma.f64 (.f64 1/24 (fma.f64 -12 (/.f64 (.f64 (.f64 r r) 1/9) (.f64 r r)) (/.f64 24 (/.f64 r (-.f64 (.f64 r -1/30) (.f64 r -1/6)))))) (pow.f64 b 4) (log.f64 r)) (+.f64 (log.f64 b) (.f64 (/.f64 (.f64 r 1/3) r) (*.f64 b b))))
(+.f64 (fma.f64 (pow.f64 b 4) (+.f64 -1/18 (.f64 (/.f64 (.f64 r 2/15) r) 1)) (log.f64 r)) (fma.f64 1/3 (*.f64 b b) (log.f64 b)))
(+.f64 (fma.f64 (pow.f64 b 4) (+.f64 (/.f64 (.f64 r 2/15) r) -1/18) (log.f64 r)) (fma.f64 1/3 (.f64 b b) (log.f64 b)))
(+.f64 (.f64 1/720 (.f64 (pow.f64 b 6) (+.f64 (.f64 240 (/.f64 (pow.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) 3) (pow.f64 r 3))) (+.f64 (.f64 -720 (/.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 r 2))) (.f64 720 (/.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) r)))))) (+.f64 (log.f64 b) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 2)) r) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) 2) (pow.f64 r 2))) (.f64 24 (/.f64 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))) r))) (pow.f64 b 4))) (log.f64 r)))))
(fma.f64 1/720 (.f64 (pow.f64 b 6) (fma.f64 240 (/.f64 (pow.f64 (.f64 r 1/3) 3) (pow.f64 r 3)) (fma.f64 -720 (/.f64 (.f64 r 1/3) (/.f64 (.f64 r r) (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (.f64 r 1/3)))))) (.f64 720 (/.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (.f64 r 1/3)))) (fma.f64 -1/720 r (.f64 (.f64 r 1/3) 1/24)))) r))))) (+.f64 (+.f64 (log.f64 b) (/.f64 (.f64 r 1/3) (/.f64 r (.f64 b b)))) (fma.f64 1/24 (.f64 (fma.f64 -12 (/.f64 (pow.f64 (.f64 r 1/3) 2) (.f64 r r)) (.f64 24 (/.f64 (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3)))) r))) (pow.f64 b 4)) (log.f64 r))))
(fma.f64 (.f64 1/720 (pow.f64 b 6)) (fma.f64 240 (/.f64 (.f64 (pow.f64 r 3) 1/27) (pow.f64 r 3)) (fma.f64 720 (/.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (fma.f64 r -1/720 (.f64 r 1/72)))) r) (.f64 -720 (.f64 (/.f64 (.f64 r 1/3) (.f64 r r)) (-.f64 (.f64 r -1/30) (.f64 r -1/6)))))) (+.f64 (fma.f64 (.f64 1/24 (fma.f64 -12 (/.f64 (.f64 (.f64 r r) 1/9) (.f64 r r)) (/.f64 24 (/.f64 r (-.f64 (.f64 r -1/30) (.f64 r -1/6)))))) (pow.f64 b 4) (log.f64 r)) (+.f64 (log.f64 b) (.f64 (/.f64 (.f64 r 1/3) r) (*.f64 b b)))))
(fma.f64 (+.f64 80/9 (fma.f64 720 (-.f64 -1/5040 (/.f64 (fma.f64 -1/2 (.f64 r 2/15) (.f64 r 1/80)) r)) (.f64 (/.f64 (.f64 r 2/15) r) -240))) (.f64 1/720 (pow.f64 b 6)) (+.f64 (fma.f64 (pow.f64 b 4) (+.f64 -1/18 (.f64 (/.f64 (.f64 r 2/15) r) 1)) (log.f64 r)) (fma.f64 1/3 (.f64 b b) (log.f64 b))))
(+.f64 (fma.f64 (pow.f64 b 4) (+.f64 (/.f64 (.f64 r 2/15) r) -1/18) (fma.f64 (.f64 b b) 1/3 (log.f64 r))) (fma.f64 (+.f64 80/9 (fma.f64 720 (-.f64 -1/5040 (/.f64 (fma.f64 -1/2 (.f64 r 2/15) (.f64 r 1/80)) r)) (.f64 (/.f64 (.f64 r 2/15) r) -240))) (*.f64 1/720 (pow.f64 b 6)) (log.f64 b)))
(log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (log.f64 r))
(log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 r b)
(*.f64 b r)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (.f64 b r))
(fma.f64 b r (.f64 r (.f64 1/3 (pow.f64 b 3))))
(.f64 r (+.f64 b (.f64 (pow.f64 b 3) 1/3)))
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(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 r b (.f64 (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3)))) (pow.f64 b 5))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 b r (.f64 (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (pow.f64 b 5))))
(fma.f64 (.f64 r 2/15) (pow.f64 b 5) (.f64 r (+.f64 b (*.f64 (pow.f64 b 3) 1/3))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (.f64 r 1/3)))) (fma.f64 -1/720 r (.f64 (.f64 r 1/3) 1/24)))) (pow.f64 b 7) (fma.f64 r b (.f64 (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3)))) (pow.f64 b 5)))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (fma.f64 r -1/720 (.f64 r 1/72)))) (pow.f64 b 7) (fma.f64 b r (.f64 (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (pow.f64 b 5)))))
(fma.f64 (-.f64 (fma.f64 r -1/5040 (.f64 (.f64 r 2/15) 1/2)) (.f64 r 1/80)) (pow.f64 b 7) (fma.f64 (.f64 r 2/15) (pow.f64 b 5) (.f64 r (+.f64 b (.f64 (pow.f64 b 3) 1/3)))))
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(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
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(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 r b)
(*.f64 b r)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (.f64 b r))
(fma.f64 b r (.f64 r (.f64 1/3 (pow.f64 b 3))))
(.f64 r (+.f64 b (.f64 (pow.f64 b 3) 1/3)))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 r b (.f64 (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3)))) (pow.f64 b 5))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 b r (.f64 (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (pow.f64 b 5))))
(fma.f64 (.f64 r 2/15) (pow.f64 b 5) (.f64 r (+.f64 b (*.f64 (pow.f64 b 3) 1/3))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (.f64 r 1/3)))) (fma.f64 -1/720 r (.f64 (.f64 r 1/3) 1/24)))) (pow.f64 b 7) (fma.f64 r b (.f64 (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3)))) (pow.f64 b 5)))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (fma.f64 r -1/720 (.f64 r 1/72)))) (pow.f64 b 7) (fma.f64 b r (.f64 (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (pow.f64 b 5)))))
(fma.f64 (-.f64 (fma.f64 r -1/5040 (.f64 (.f64 r 2/15) 1/2)) (.f64 r 1/80)) (pow.f64 b 7) (fma.f64 (.f64 r 2/15) (pow.f64 b 5) (.f64 r (+.f64 b (.f64 (pow.f64 b 3) 1/3)))))
(/.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 (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 (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 (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 (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 (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 (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 (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 1 b)
(+.f64 (*.f64 -1/3 b) (/.f64 1 b))
(fma.f64 -1/3 b (/.f64 1 b))
(fma.f64 b -1/3 (/.f64 1 b))
(+.f64 (.f64 -1/3 b) (+.f64 (/.f64 1 b) (.f64 -1/45 (pow.f64 b 3))))
(+.f64 (fma.f64 -1/3 b (/.f64 1 b)) (*.f64 (pow.f64 b 3) -1/45))
(fma.f64 b -1/3 (fma.f64 (pow.f64 b 3) -1/45 (/.f64 1 b)))
(+.f64 (.f64 -1/3 b) (+.f64 (.f64 -2/945 (pow.f64 b 5)) (+.f64 (/.f64 1 b) (*.f64 -1/45 (pow.f64 b 3)))))
(fma.f64 -1/3 b (fma.f64 -2/945 (pow.f64 b 5) (+.f64 (/.f64 1 b) (*.f64 (pow.f64 b 3) -1/45))))
(fma.f64 b -1/3 (fma.f64 (pow.f64 b 5) -2/945 (fma.f64 (pow.f64 b 3) -1/45 (/.f64 1 b))))
(fma.f64 b -1/3 (fma.f64 (pow.f64 b 3) -1/45 (fma.f64 (pow.f64 b 5) -2/945 (/.f64 1 b))))
(fma.f64 b -1/3 (fma.f64 (pow.f64 b 3) -1/45 (fma.f64 -2/945 (pow.f64 b 5) (/.f64 1 b))))

localize28.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 b (*.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b))
	0.1b	(/.f64 (cos.f64 a) b)
	0.0b	(-.f64 (fma.f64 b (*.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))
	0.0b	(cos.f64 a)
✓	0.1b	(fma.f64 b (*.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b))
✓	0.2b	(.f64 r (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))))
✓	0.2b	(*.f64 (cos.f64 a) -1/3)
✓	0.2b	(/.f64 1 (-.f64 (fma.f64 b (*.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))

Compiler

Compiled 75 to 30 computations (60% saved)

series26.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(/.f64 1 (-.f64 (fma.f64 b (*.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
3.0ms	b	@	0	(fma.f64 b (*.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b))
2.0ms	a	@	inf	(/.f64 1 (-.f64 (fma.f64 b (*.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
2.0ms	a	@	-inf	(/.f64 1 (-.f64 (fma.f64 b (*.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
1.0ms	r	@	0	(.f64 r (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))))

rewrite96.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`log-prod_binary64`
720×	`prod-diff_binary64`
280×	`fma-def_binary64`
265×	`expm1-udef_binary64`
265×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	297	67
2	3895	67

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)) -2)) (/.f64 1 (cbrt.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)) -1/2) (pow.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))) -1) (pow.f64 (sqrt.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) 3) (pow.f64 (sin.f64 a) 3))) (fma.f64 (sin.f64 a) (+.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)) (pow.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) 2) (pow.f64 (sin.f64 a) 2))) (+.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (-.f64 (fma.f64 b (.f64 (cos.f64 a) -1/3) (/.f64 (cos.f64 a) b)) (sin.f64 a)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 a) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (cos.f64 a))) (cbrt.f64 (pow.f64 (exp.f64 -1/3) (cos.f64 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (cos.f64 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 a) -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 a) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 a) -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 a) -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cos.f64 a) -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (cos.f64 a) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 a) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 a) -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (cos.f64 a) -1/3)) 1))))))
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simplify307.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

715×	`associate-/l*_binary64`
691×	`associate-/r*_binary64`
565×	`associate-*l/_binary64`
299×	`distribute-rgt-in_binary64`
287×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	3181
1	843	3120
2	2960	3086

Stop Event

1×	node limit

Counts

198 → 181

Calls

Call 1

Inputs
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/3 (/.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 -1 (.f64 (pow.f64 b 4) (+.f64 (.f64 -1/3 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/3 (/.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 (-.f64 (.f64 1/3 (/.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 -3 (*.f64 (cos.f64 a) b))
(-.f64 (.f64 9 (/.f64 (sin.f64 a) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 2)))) (.f64 3 (/.f64 1 (.f64 (cos.f64 a) b))))
(-.f64 (+.f64 (.f64 9 (/.f64 (sin.f64 a) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 9 (/.f64 1 (cos.f64 a))) (.f64 27 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3)))) (.f64 3 (/.f64 1 (*.f64 (cos.f64 a) b))))
(-.f64 (+.f64 (.f64 9 (/.f64 (sin.f64 a) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 9 (/.f64 1 (cos.f64 a))) (.f64 27 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -3 (/.f64 (.f64 (sin.f64 a) (+.f64 (.f64 9 (/.f64 1 (cos.f64 a))) (.f64 27 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))) (.f64 -27 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 4))))) (.f64 3 (/.f64 1 (*.f64 (cos.f64 a) b))))
(/.f64 -3 (*.f64 (cos.f64 a) b))
(-.f64 (.f64 9 (/.f64 (sin.f64 a) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 2)))) (.f64 3 (/.f64 1 (.f64 (cos.f64 a) b))))
(-.f64 (+.f64 (.f64 9 (/.f64 (sin.f64 a) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 2)))) (.f64 -1 (/.f64 (-.f64 (.f64 9 (/.f64 1 (cos.f64 a))) (.f64 -27 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3)))) (.f64 3 (/.f64 1 (*.f64 (cos.f64 a) b))))
(-.f64 (+.f64 (.f64 9 (/.f64 (sin.f64 a) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 2)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 9 (/.f64 1 (cos.f64 a))) (.f64 -27 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -27 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -3 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 9 (/.f64 1 (cos.f64 a))) (.f64 -27 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a)))) (pow.f64 b 4))))) (.f64 3 (/.f64 1 (*.f64 (cos.f64 a) b))))
(/.f64 1 (+.f64 (*.f64 -1/3 b) (/.f64 1 b)))
(+.f64 (/.f64 1 (+.f64 (.f64 -1/3 b) (/.f64 1 b))) (/.f64 a (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2)))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 3)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2) b)))) (.f64 1/6 (/.f64 b (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2)))) (pow.f64 a 2)) (+.f64 (/.f64 1 (+.f64 (.f64 -1/3 b) (/.f64 1 b))) (/.f64 a (pow.f64 (+.f64 (*.f64 -1/3 b) (/.f64 1 b)) 2))))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 3)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2) b)))) (.f64 1/6 (/.f64 b (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2)))) (pow.f64 a 2)) (+.f64 (/.f64 1 (+.f64 (.f64 -1/3 b) (/.f64 1 b))) (+.f64 (/.f64 a (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2)) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 3) b))) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2))) (+.f64 (.f64 1/6 (/.f64 b (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 3))) (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 3)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2) b)))) (.f64 1/6 (/.f64 b (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2)))) (+.f64 (*.f64 -1/3 b) (/.f64 1 b))))))) (pow.f64 a 3)))))
(/.f64 1 (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 1 (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 1 (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 1 (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 1 (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 1 (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 1 (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 1 (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
-1/3
(-.f64 (*.f64 1/6 (pow.f64 a 2)) 1/3)
(-.f64 (+.f64 (.f64 1/6 (pow.f64 a 2)) (.f64 -1/72 (pow.f64 a 4))) 1/3)
(-.f64 (+.f64 (.f64 1/6 (pow.f64 a 2)) (+.f64 (.f64 1/2160 (pow.f64 a 6)) (*.f64 -1/72 (pow.f64 a 4)))) 1/3)
(*.f64 -1/3 (cos.f64 a))
(*.f64 -1/3 (cos.f64 a))
(*.f64 -1/3 (cos.f64 a))
(*.f64 -1/3 (cos.f64 a))
(*.f64 -1/3 (cos.f64 a))
(*.f64 -1/3 (cos.f64 a))
(*.f64 -1/3 (cos.f64 a))
(*.f64 -1/3 (cos.f64 a))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.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 -1 (.f64 (+.f64 (.f64 -1/3 (/.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 3))) (/.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 -1 (.f64 (+.f64 (.f64 -1/3 (/.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 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (/.f64 (.f64 (+.f64 (.f64 -1/3 (/.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))) (pow.f64 b 4))) (/.f64 (.f64 r b) (cos.f64 a)))))
(.f64 -3 (/.f64 r (.f64 (cos.f64 a) b)))
(+.f64 (.f64 -3 (/.f64 r (.f64 (cos.f64 a) b))) (.f64 9 (/.f64 (.f64 (sin.f64 a) r) (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 9 (/.f64 r (cos.f64 a))) (.f64 27 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3))) (+.f64 (.f64 -3 (/.f64 r (.f64 (cos.f64 a) b))) (.f64 9 (/.f64 (.f64 (sin.f64 a) r) (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -27 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -3 (/.f64 (.f64 (sin.f64 a) (+.f64 (.f64 9 (/.f64 r (cos.f64 a))) (.f64 27 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a)))) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 9 (/.f64 r (cos.f64 a))) (.f64 27 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3))) (+.f64 (.f64 -3 (/.f64 r (.f64 (cos.f64 a) b))) (.f64 9 (/.f64 (.f64 (sin.f64 a) r) (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 2)))))))
(.f64 -3 (/.f64 r (.f64 (cos.f64 a) b)))
(+.f64 (.f64 -3 (/.f64 r (.f64 (cos.f64 a) b))) (.f64 9 (/.f64 (.f64 (sin.f64 a) r) (*.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 2)))))
(+.f64 (.f64 -9 (/.f64 r (.f64 (cos.f64 a) (pow.f64 b 3)))) (+.f64 (.f64 -3 (/.f64 r (.f64 (cos.f64 a) b))) (+.f64 (.f64 9 (/.f64 (.f64 (sin.f64 a) r) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 2)))) (.f64 -27 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 b 3)))))))
(+.f64 (.f64 -9 (/.f64 r (.f64 (cos.f64 a) (pow.f64 b 3)))) (+.f64 (.f64 -3 (/.f64 r (.f64 (cos.f64 a) b))) (+.f64 (.f64 9 (/.f64 (.f64 (sin.f64 a) r) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 2)))) (+.f64 (.f64 -27 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 b 3)))) (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 (.f64 (sin.f64 a) (+.f64 (.f64 -9 (/.f64 r (cos.f64 a))) (.f64 -27 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))) (.f64 -27 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 4)))))))
(/.f64 r (+.f64 (*.f64 -1/3 b) (/.f64 1 b)))
(+.f64 (/.f64 (.f64 a r) (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2)) (/.f64 r (+.f64 (*.f64 -1/3 b) (/.f64 1 b))))
(+.f64 (/.f64 (.f64 a r) (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/6 b) (.f64 1/2 (/.f64 1 b))) r) (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2)) (.f64 -1 (/.f64 r (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 3)))))) (/.f64 r (+.f64 (*.f64 -1/3 b) (/.f64 1 b)))))
(+.f64 (/.f64 (.f64 a r) (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1 (/.f64 r (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 4))) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 1/6 b) (.f64 1/2 (/.f64 1 b))) r) (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 3))) (.f64 1/6 (/.f64 r (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/6 b) (.f64 1/2 (/.f64 1 b))) r) (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2)) (.f64 -1 (/.f64 r (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 3)))))) (/.f64 r (+.f64 (.f64 -1/3 b) (/.f64 1 b))))))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 (cos.f64 a) b)
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(.f64 -1/3 (.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(.f64 -1/3 (.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(+.f64 (*.f64 -1/3 b) (/.f64 1 b))
(+.f64 (.f64 -1/3 b) (+.f64 (.f64 (-.f64 (.f64 1/6 b) (.f64 1/2 (/.f64 1 b))) (pow.f64 a 2)) (/.f64 1 b)))
(+.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/72 b) (.f64 1/24 (/.f64 1 b)))) (+.f64 (.f64 -1/3 b) (+.f64 (.f64 (-.f64 (.f64 1/6 b) (*.f64 1/2 (/.f64 1 b))) (pow.f64 a 2)) (/.f64 1 b))))
(+.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/72 b) (.f64 1/24 (/.f64 1 b)))) (+.f64 (.f64 (-.f64 (.f64 1/2160 b) (.f64 1/720 (/.f64 1 b))) (pow.f64 a 6)) (+.f64 (.f64 -1/3 b) (+.f64 (.f64 (-.f64 (.f64 1/6 b) (.f64 1/2 (/.f64 1 b))) (pow.f64 a 2)) (/.f64 1 b)))))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))

Outputs
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b b))))
(+.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b b)))
(+.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 (.f64 b b) (pow.f64 (cos.f64 a) 2)) (sin.f64 a)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/3 (/.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 1/3 (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 1/3 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (pow.f64 b 3) (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b b))))
(+.f64 (/.f64 b (cos.f64 a)) (.f64 (.f64 b b) (+.f64 (*.f64 (+.f64 (/.f64 1/3 (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 b (cos.f64 a)) (+.f64 (.f64 -1 (.f64 (pow.f64 b 4) (+.f64 (.f64 -1/3 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/3 (/.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 (-.f64 (.f64 1/3 (/.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 -1 (.f64 (pow.f64 b 4) (fma.f64 -1/3 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (neg.f64 (/.f64 (sin.f64 a) (/.f64 (cos.f64 a) (-.f64 (/.f64 1/3 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))) (fma.f64 (-.f64 (/.f64 1/3 (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 (fma.f64 (+.f64 (/.f64 1/3 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (pow.f64 b 3) (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b b))) (-.f64 (/.f64 b (cos.f64 a)) (.f64 (pow.f64 b 4) (-.f64 (.f64 -1/3 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 (/.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 (/.f64 b (cos.f64 a)) (-.f64 (.f64 (.f64 b b) (+.f64 (.f64 (+.f64 (/.f64 1/3 (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 (pow.f64 b 4) (-.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) -1/3)) (*.f64 (/.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 -3 (*.f64 (cos.f64 a) b))
(/.f64 -3 (*.f64 b (cos.f64 a)))
(-.f64 (.f64 9 (/.f64 (sin.f64 a) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 2)))) (.f64 3 (/.f64 1 (.f64 (cos.f64 a) b))))
(fma.f64 9 (/.f64 (sin.f64 a) (.f64 (.f64 b b) (pow.f64 (cos.f64 a) 2))) (neg.f64 (/.f64 3 (*.f64 b (cos.f64 a)))))
(fma.f64 9 (/.f64 (sin.f64 a) (.f64 (.f64 b b) (pow.f64 (cos.f64 a) 2))) (/.f64 -3 (*.f64 b (cos.f64 a))))
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(+.f64 (/.f64 (.f64 a r) (pow.f64 (fma.f64 -1/3 b (/.f64 1 b)) 2)) (fma.f64 -1 (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 r (-.f64 (*.f64 b 1/6) (/.f64 1/2 b))) (pow.f64 (fma.f64 -1/3 b (/.f64 1 b)) 2)) (neg.f64 (/.f64 r (pow.f64 (fma.f64 -1/3 b (/.f64 1 b)) 3))))) (/.f64 r (fma.f64 -1/3 b (/.f64 1 b)))))
(+.f64 (/.f64 r (fma.f64 b -1/3 (/.f64 1 b))) (-.f64 (.f64 (/.f64 a (pow.f64 (fma.f64 b -1/3 (/.f64 1 b)) 2)) r) (.f64 a (*.f64 a (-.f64 (/.f64 r (/.f64 (pow.f64 (fma.f64 b -1/3 (/.f64 1 b)) 2) (fma.f64 b 1/6 (/.f64 -1/2 b)))) (/.f64 r (pow.f64 (fma.f64 b -1/3 (/.f64 1 b)) 3)))))))
(-.f64 (.f64 (+.f64 (/.f64 a (fma.f64 b -1/3 (/.f64 1 b))) 1) (/.f64 r (fma.f64 b -1/3 (/.f64 1 b)))) (.f64 a (*.f64 a (-.f64 (/.f64 r (/.f64 (pow.f64 (fma.f64 b -1/3 (/.f64 1 b)) 2) (fma.f64 b 1/6 (/.f64 -1/2 b)))) (/.f64 r (pow.f64 (fma.f64 b -1/3 (/.f64 1 b)) 3))))))
(+.f64 (/.f64 (.f64 a r) (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1 (/.f64 r (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 4))) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 1/6 b) (.f64 1/2 (/.f64 1 b))) r) (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 3))) (.f64 1/6 (/.f64 r (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/6 b) (.f64 1/2 (/.f64 1 b))) r) (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 2)) (.f64 -1 (/.f64 r (pow.f64 (+.f64 (.f64 -1/3 b) (/.f64 1 b)) 3)))))) (/.f64 r (+.f64 (.f64 -1/3 b) (/.f64 1 b))))))
(+.f64 (/.f64 (.f64 a r) (pow.f64 (fma.f64 -1/3 b (/.f64 1 b)) 2)) (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 -1 (/.f64 r (pow.f64 (fma.f64 -1/3 b (/.f64 1 b)) 4)) (fma.f64 2 (/.f64 (-.f64 (.f64 b 1/6) (/.f64 1/2 b)) (/.f64 (pow.f64 (fma.f64 -1/3 b (/.f64 1 b)) 3) r)) (/.f64 (.f64 1/6 r) (pow.f64 (fma.f64 -1/3 b (/.f64 1 b)) 2))))) (fma.f64 -1 (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 r (-.f64 (.f64 b 1/6) (/.f64 1/2 b))) (pow.f64 (fma.f64 -1/3 b (/.f64 1 b)) 2)) (neg.f64 (/.f64 r (pow.f64 (fma.f64 -1/3 b (/.f64 1 b)) 3))))) (/.f64 r (fma.f64 -1/3 b (/.f64 1 b))))))
(+.f64 (.f64 (/.f64 a (pow.f64 (fma.f64 b -1/3 (/.f64 1 b)) 2)) r) (-.f64 (-.f64 (/.f64 r (fma.f64 b -1/3 (/.f64 1 b))) (.f64 a (.f64 a (-.f64 (/.f64 r (/.f64 (pow.f64 (fma.f64 b -1/3 (/.f64 1 b)) 2) (fma.f64 b 1/6 (/.f64 -1/2 b)))) (/.f64 r (pow.f64 (fma.f64 b -1/3 (/.f64 1 b)) 3)))))) (.f64 (pow.f64 a 3) (-.f64 (fma.f64 2 (.f64 (/.f64 (fma.f64 b 1/6 (/.f64 -1/2 b)) (pow.f64 (fma.f64 b -1/3 (/.f64 1 b)) 3)) r) (.f64 1/6 (/.f64 r (pow.f64 (fma.f64 b -1/3 (/.f64 1 b)) 2)))) (/.f64 r (pow.f64 (fma.f64 b -1/3 (/.f64 1 b)) 4))))))
(+.f64 (neg.f64 (.f64 (.f64 a a) (+.f64 (.f64 (-.f64 (fma.f64 2 (/.f64 r (/.f64 (pow.f64 (fma.f64 b -1/3 (/.f64 1 b)) 3) (fma.f64 b 1/6 (/.f64 -1/2 b)))) (/.f64 r (/.f64 (pow.f64 (fma.f64 b -1/3 (/.f64 1 b)) 2) 1/6))) (/.f64 r (pow.f64 (fma.f64 b -1/3 (/.f64 1 b)) 4))) a) (-.f64 (/.f64 r (/.f64 (pow.f64 (fma.f64 b -1/3 (/.f64 1 b)) 2) (fma.f64 b 1/6 (/.f64 -1/2 b)))) (/.f64 r (pow.f64 (fma.f64 b -1/3 (/.f64 1 b)) 3)))))) (.f64 (+.f64 (/.f64 a (fma.f64 b -1/3 (/.f64 1 b))) 1) (/.f64 r (fma.f64 b -1/3 (/.f64 1 b)))))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 r (-.f64 (fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
(/.f64 (cos.f64 a) b)
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))
(.f64 -1/3 (.f64 (cos.f64 a) b))
(.f64 -1/3 (.f64 b (cos.f64 a)))
(.f64 (cos.f64 a) (.f64 b -1/3))
(.f64 b (.f64 (cos.f64 a) -1/3))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))
(.f64 -1/3 (.f64 (cos.f64 a) b))
(.f64 -1/3 (.f64 b (cos.f64 a)))
(.f64 (cos.f64 a) (.f64 b -1/3))
(.f64 b (.f64 (cos.f64 a) -1/3))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))
(+.f64 (*.f64 -1/3 b) (/.f64 1 b))
(fma.f64 -1/3 b (/.f64 1 b))
(fma.f64 b -1/3 (/.f64 1 b))
(+.f64 (.f64 -1/3 b) (+.f64 (.f64 (-.f64 (.f64 1/6 b) (.f64 1/2 (/.f64 1 b))) (pow.f64 a 2)) (/.f64 1 b)))
(fma.f64 -1/3 b (fma.f64 (-.f64 (.f64 b 1/6) (/.f64 1/2 b)) (.f64 a a) (/.f64 1 b)))
(fma.f64 b -1/3 (fma.f64 (*.f64 a a) (fma.f64 b 1/6 (/.f64 -1/2 b)) (/.f64 1 b)))
(+.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/72 b) (.f64 1/24 (/.f64 1 b)))) (+.f64 (.f64 -1/3 b) (+.f64 (.f64 (-.f64 (.f64 1/6 b) (*.f64 1/2 (/.f64 1 b))) (pow.f64 a 2)) (/.f64 1 b))))
(fma.f64 (pow.f64 a 4) (fma.f64 -1/72 b (/.f64 1/24 b)) (fma.f64 -1/3 b (fma.f64 (-.f64 (.f64 b 1/6) (/.f64 1/2 b)) (.f64 a a) (/.f64 1 b))))
(fma.f64 (pow.f64 a 4) (fma.f64 b -1/72 (/.f64 1/24 b)) (fma.f64 b -1/3 (fma.f64 (*.f64 a a) (fma.f64 b 1/6 (/.f64 -1/2 b)) (/.f64 1 b))))
(+.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/72 b) (.f64 1/24 (/.f64 1 b)))) (+.f64 (.f64 (-.f64 (.f64 1/2160 b) (.f64 1/720 (/.f64 1 b))) (pow.f64 a 6)) (+.f64 (.f64 -1/3 b) (+.f64 (.f64 (-.f64 (.f64 1/6 b) (.f64 1/2 (/.f64 1 b))) (pow.f64 a 2)) (/.f64 1 b)))))
(fma.f64 (pow.f64 a 4) (fma.f64 -1/72 b (/.f64 1/24 b)) (fma.f64 (-.f64 (.f64 b 1/2160) (/.f64 1/720 b)) (pow.f64 a 6) (fma.f64 -1/3 b (fma.f64 (-.f64 (.f64 b 1/6) (/.f64 1/2 b)) (*.f64 a a) (/.f64 1 b)))))
(fma.f64 (pow.f64 a 4) (fma.f64 b -1/72 (/.f64 1/24 b)) (fma.f64 (pow.f64 a 6) (fma.f64 b 1/2160 (/.f64 -1/720 b)) (fma.f64 b -1/3 (fma.f64 (*.f64 a a) (fma.f64 b 1/6 (/.f64 -1/2 b)) (/.f64 1 b)))))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b))
(fma.f64 -1/3 (*.f64 b (cos.f64 a)) (/.f64 (cos.f64 a) b))

eval400.0ms (3.2%)

Compiler: Compiled 18184 to 7000 computations (61.5% saved)

prune321.0ms (2.6%)

Pruning

97 alts after pruning (90 fresh and 7 done)

	Pruned	Kept	Total
New	781	47	828
Fresh	28	43	71
Picked	1	0	1
Done	3	7	10
Total	813	97	910

Error

0.0b

Counts

910 → 97

Alt Table

Click to see full alt table

Status	Error	Program
	49.6b	(sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2))
	24.3b	(/.f64 (.f64 (.f64 (sin.f64 b) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r)) (cos.f64 b))
	62.0b	(/.f64 (*.f64 -3 (/.f64 r b)) (cos.f64 a))
	0.8b	(.f64 r (/.f64 1 (/.f64 (+.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)))) (sin.f64 b))))
	49.8b	(pow.f64 (pow.f64 (*.f64 r (tan.f64 b)) 3) 1/3)
	0.4b	(.f64 r (/.f64 1 (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))))
	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)))
	29.8b	(/.f64 r (*.f64 (/.f64 1 (sin.f64 b)) (cos.f64 a)))
	44.8b	(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) -2))
✓	29.7b	(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
	27.6b	(/.f64 (*.f64 (sin.f64 b) r) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
	33.0b	(/.f64 r (/.f64 (cos.f64 a) b))
	31.8b	(/.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) 2) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	32.9b	(*.f64 b (/.f64 r (cos.f64 a)))
	37.3b	(.f64 (/.f64 (cbrt.f64 (.f64 r r)) (cos.f64 b)) (/.f64 (cbrt.f64 r) (/.f64 1 (sin.f64 b))))
	57.8b	(exp.f64 (exp.f64 (log.f64 (log.f64 (*.f64 r (tan.f64 b))))))
	29.8b	(/.f64 r (/.f64 (-.f64 (+.f64 1 (cos.f64 a)) 1) (sin.f64 b)))
	38.8b	(/.f64 r (/.f64 1 (sin.f64 b)))
	43.8b	(/.f64 (pow.f64 (exp.f64 1) (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 b))
	31.6b	(expm1.f64 (log1p.f64 (*.f64 r (tan.f64 b))))
	24.0b	(/.f64 1 (/.f64 (/.f64 1 (tan.f64 b)) r))
	0.5b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 3)))
	23.9b	(*.f64 (/.f64 1 (cos.f64 b)) (/.f64 r (/.f64 1 (sin.f64 b))))
	46.6b	(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))) 3))
	42.7b	(/.f64 (.f64 b r) (fma.f64 a (.f64 a -1/2) 1))
	23.8b	(/.f64 r (/.f64 1 (tan.f64 b)))
	57.8b	(exp.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 r (tan.f64 b))))))
	25.5b	(*.f64 r (/.f64 1 (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	30.1b	(/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) (sin.f64 b))) 3))
✓	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	23.8b	(*.f64 (tan.f64 b) r)
	46.6b	(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))) 1/3))
	23.8b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	41.3b	(/.f64 (pow.f64 (exp.f64 1) (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
	29.8b	(/.f64 (/.f64 r (cos.f64 a)) (/.f64 1 (sin.f64 b)))
	41.3b	(/.f64 r (+.f64 (*.f64 -1/3 b) (/.f64 1 b)))
	47.0b	(/.f64 r (-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 a) (sin.f64 b)))) 1))
	50.7b	(*.f64 r (log.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 a)))))
✓	41.9b	(*.f64 r b)
	49.8b	(exp.f64 (log.f64 (*.f64 r (sin.f64 b))))
✓	43.8b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 b))
	46.4b	(sqrt.f64 (pow.f64 (*.f64 r (tan.f64 b)) 2))
	32.9b	(.f64 b (.f64 r (/.f64 1 (cos.f64 a))))
	32.9b	(/.f64 (*.f64 b r) (-.f64 (+.f64 1 (cos.f64 a)) 1))
	49.3b	(exp.f64 (log.f64 (/.f64 r (sqrt.f64 (pow.f64 (/.f64 1 (tan.f64 b)) 2)))))
	25.5b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
	29.7b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
	47.2b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 a))
	47.9b	(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) 2))
	38.7b	(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))))
	44.8b	(*.f64 r (sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 2)))
	14.7b	(*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))
	29.1b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b))) (sqrt.f64 (sin.f64 a)) (.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))))
	46.5b	(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)))
	32.2b	(.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)))))))
	42.8b	(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 r (tan.f64 b)))) 3))
	42.3b	(pow.f64 (exp.f64 1) (log.f64 (*.f64 r (tan.f64 b))))
	23.8b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
	23.8b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
	38.8b	(*.f64 r (/.f64 1 (/.f64 1 (sin.f64 b))))
	23.8b	(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
	51.5b	(/.f64 r (log1p.f64 (expm1.f64 (/.f64 (cos.f64 a) (sin.f64 b)))))
	14.8b	(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r)))
	37.3b	(.f64 (cbrt.f64 (.f64 r r)) (*.f64 (cbrt.f64 r) (tan.f64 b)))
✓	38.7b	(*.f64 r (sin.f64 b))
	56.4b	(exp.f64 (+.f64 (log.f64 r) (log.f64 (tan.f64 b))))
	46.6b	(pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)))
	32.2b	(/.f64 r (-.f64 (+.f64 (.f64 -1/3 (.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) b)) (sin.f64 a)))
	0.5b	(/.f64 (.f64 (sin.f64 b) r) (log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 a) (cos.f64 b)))) (exp.f64 (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))))
	29.7b	(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	14.7b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (sin.f64 b))))
	0.3b	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))
	49.8b	(pow.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) 3) 1/3)
	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
	14.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	34.5b	(/.f64 r (/.f64 (sqrt.f64 (pow.f64 (cos.f64 a) 2)) (sin.f64 b)))
	42.9b	(.f64 r (+.f64 (/.f64 1 (+.f64 (.f64 -1/3 b) (/.f64 1 b))) (/.f64 a (pow.f64 (+.f64 (*.f64 -1/3 b) (/.f64 1 b)) 2))))
	41.1b	(pow.f64 (sqrt.f64 (*.f64 r (tan.f64 b))) 2)
	33.0b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 a) b)))
✓	29.7b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 a) (sin.f64 b))))
	30.1b	(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 a))) 3))
	52.4b	(pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3)
	40.4b	(/.f64 (-.f64 (+.f64 1 (*.f64 r (sin.f64 b))) 1) (cos.f64 b))
	30.6b	(*.f64 r (/.f64 1 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))))
	34.5b	(*.f64 r (/.f64 1 (/.f64 (sqrt.f64 (pow.f64 (cos.f64 a) 2)) (sin.f64 b))))
	24.3b	(pow.f64 (cbrt.f64 (*.f64 r (tan.f64 b))) 3)
	39.0b	(pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3)
	24.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 b))
	41.3b	(.f64 r (/.f64 1 (+.f64 (.f64 -1/3 b) (/.f64 1 b))))
	27.6b	(*.f64 r (/.f64 (sin.f64 b) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))
	29.7b	(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 r (/.f64 1 (sin.f64 b))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
✓	32.9b	(/.f64 (*.f64 b r) (cos.f64 a))
	23.8b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
	0.4b	(.f64 r (/.f64 1 (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b)))))
	0.8b	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) 2) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))

Compiler

Compiled 1408 to 986 computations (30% saved)

regimes249.0ms (2%)

Counts

97 → 1

Calls

Call 1

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

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

Calls

3 calls:

68.0ms	b
66.0ms	a
65.0ms	r

Results

Error	Segments	Branch
0.3b	1	`r`
0.3b	1	`a`
0.3b	1	`b`

Compiler

Compiled 1132 to 428 computations (62.2% saved)

regimes206.0ms (1.6%)

Counts

86 → 1

Calls

Call 1

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

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

Calls

3 calls:

62.0ms	b
57.0ms	a
54.0ms	r

Results

Error	Segments	Branch
0.3b	1	`r`
0.3b	1	`a`
0.3b	1	`b`

Compiler

Compiled 843 to 352 computations (58.2% saved)

regimes192.0ms (1.5%)

Counts

83 → 1

Calls

Call 1

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

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

Calls

3 calls:

57.0ms	r
54.0ms	b
54.0ms	a

Results

Error	Segments	Branch
0.4b	1	`r`
0.4b	1	`a`
0.4b	1	`b`

Compiler

Compiled 793 to 339 computations (57.3% saved)

regimes255.0ms (2%)

Counts

82 → 1

Calls

Call 1

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

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

Calls

3 calls:

97.0ms	b
77.0ms	r
56.0ms	a

Results

Error	Segments	Branch
14.7b	1	`r`
14.7b	1	`a`
14.7b	1	`b`

Compiler

Compiled 777 to 334 computations (57% saved)

regimes59.0ms (0.5%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	a
16.0ms	b
15.0ms	r

Results

Error	Segments	Branch
14.8b	1	`r`
14.8b	1	`a`
14.8b	1	`b`

Compiler

Compiled 237 to 117 computations (50.6% saved)

regimes188.0ms (1.5%)

Counts

26 → 3

Calls

Call 1

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

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

Calls

3 calls:

73.0ms	a
70.0ms	b
36.0ms	r

Results

Error	Segments	Branch
22.4b	3	`r`
14.7b	3	`a`
14.8b	3	`b`

Compiler

Compiled 219 to 110 computations (49.8% saved)

bsearch138.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
68.0ms	8.659823856620301e-39	3.0641511265233315e-35
69.0ms	-124.45381542025724	-1.292926932180899e-9

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes143.0ms (1.1%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

3 calls:

71.0ms	a
33.0ms	b
33.0ms	r

Results

Error	Segments	Branch
22.4b	3	`r`
14.7b	3	`a`
14.8b	3	`b`

Compiler

Compiled 180 to 97 computations (46.1% saved)

bsearch214.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
114.0ms	8.659823856620301e-39	3.0641511265233315e-35
100.0ms	-124.45381542025724	-1.292926932180899e-9

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes106.0ms (0.8%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	a
28.0ms	b
27.0ms	r

Results

Error	Segments	Branch
22.6b	3	`r`
16.2b	3	`a`
14.8b	3	`b`

Compiler

Compiled 159 to 92 computations (42.1% saved)

bsearch142.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
70.0ms	1.1492680206531809e-11	5.405554412989323e-6
72.0ms	-176672074.5232325	-5.9402728992831907e-8

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes22.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 r (+.f64 (*.f64 -1/3 b) (/.f64 1 b)))
(.f64 r (/.f64 1 (+.f64 (.f64 -1/3 b) (/.f64 1 b))))
(*.f64 r (sin.f64 b))
(*.f64 (tan.f64 b) r)

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

Calls

3 calls:

8.0ms	r
5.0ms	b
4.0ms	a

Results

Error	Segments	Branch
23.8b	1	`r`
23.8b	1	`a`
23.8b	1	`b`

Compiler

Compiled 46 to 31 computations (32.6% saved)

regimes16.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	r
4.0ms	a
4.0ms	b

Results

Error	Segments	Branch
38.7b	1	`r`
38.7b	1	`a`
38.7b	1	`b`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes14.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 r (+.f64 (*.f64 -1/3 b) (/.f64 1 b)))
(.f64 r (/.f64 1 (+.f64 (.f64 -1/3 b) (/.f64 1 b))))

Outputs
(.f64 r (/.f64 1 (+.f64 (.f64 -1/3 b) (/.f64 1 b))))

Calls

3 calls:

5.0ms	a
4.0ms	r
4.0ms	b

Results

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

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes13.0ms (0.1%)

Accuracy

Total -1.0b remaining (-2.4%)

Threshold costs -1.0b (-2.4%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 r (+.f64 (*.f64 -1/3 b) (/.f64 1 b)))

Outputs
(/.f64 r (+.f64 (*.f64 -1/3 b) (/.f64 1 b)))

Calls

3 calls:

5.0ms	a
3.0ms	r
3.0ms	b

Results

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
8×	`+-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	61	264
1	89	264
2	101	264
3	108	264
4	111	264

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(if (<=.f64 a -8757658699242297/70368744177664) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (if (<=.f64 a 414723170154833/47890485652059026823698344598447161988085597568237568) (.f64 (tan.f64 b) r) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
(if (<=.f64 a -8757658699242297/70368744177664) (.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) (if (<=.f64 a 414723170154833/47890485652059026823698344598447161988085597568237568) (.f64 (tan.f64 b) r) (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))))
(if (<=.f64 b -758800782193758336/4294967296) (.f64 (tan.f64 b) r) (if (<=.f64 b 910543935127571200/79228162514264337593543950336) (/.f64 (.f64 b r) (cos.f64 a)) (*.f64 (tan.f64 b) r)))
(*.f64 (tan.f64 b) r)
(*.f64 r (sin.f64 b))
(.f64 r (/.f64 1 (+.f64 (.f64 -1/3 b) (/.f64 1 b))))
(/.f64 r (+.f64 (*.f64 -1/3 b) (/.f64 1 b)))
(*.f64 r b)

Outputs
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (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 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (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 -8757658699242297/70368744177664) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (if (<=.f64 a 414723170154833/47890485652059026823698344598447161988085597568237568) (.f64 (tan.f64 b) r) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
(if (<=.f64 a -8757658699242297/70368744177664) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (if (<=.f64 a 414723170154833/47890485652059026823698344598447161988085597568237568) (.f64 r (tan.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
(if (<=.f64 a -8757658699242297/70368744177664) (.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) (if (<=.f64 a 414723170154833/47890485652059026823698344598447161988085597568237568) (.f64 (tan.f64 b) r) (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))))
(if (<=.f64 a -8757658699242297/70368744177664) (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (if (<=.f64 a 414723170154833/47890485652059026823698344598447161988085597568237568) (.f64 r (tan.f64 b)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(if (<=.f64 b -758800782193758336/4294967296) (.f64 (tan.f64 b) r) (if (<=.f64 b 910543935127571200/79228162514264337593543950336) (/.f64 (.f64 b r) (cos.f64 a)) (*.f64 (tan.f64 b) r)))
(if (<=.f64 b -5928131110888737/33554432) (.f64 r (tan.f64 b)) (if (<=.f64 b 3556812246592075/309485009821345068724781056) (/.f64 (.f64 b r) (cos.f64 a)) (*.f64 r (tan.f64 b))))
(*.f64 (tan.f64 b) r)
(*.f64 r (tan.f64 b))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
(.f64 r (/.f64 1 (+.f64 (.f64 -1/3 b) (/.f64 1 b))))
(.f64 r (/.f64 1 (+.f64 (.f64 b -1/3) (/.f64 1 b))))
(/.f64 r (+.f64 (*.f64 -1/3 b) (/.f64 1 b)))
(/.f64 r (+.f64 (*.f64 b -1/3) (/.f64 1 b)))
(*.f64 r b)
(*.f64 b r)

end102.0ms (0.8%)

Stop Event

1×

fuel

Compiler

Compiled 384 to 194 computations (49.5% saved)