Details

analyze451.0ms (3%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.9s (19.4%)

Results

1.7s	3564×	body	1024	valid
566.0ms	3063×	body	256	valid
426.0ms	1421×	body	512	valid
176.0ms	208×	body	2048	valid
0.0ms	1×	body	512	infinite

Bogosity

preprocess19.0ms (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 (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (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 (sin.f64 b) (/.f64 (cos.f64 (+.f64 r b)) a))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 a r)))
(/.f64 b (/.f64 (cos.f64 (+.f64 r a)) (sin.f64 r)))
(/.f64 (sin.f64 r) (/.f64 (cos.f64 (+.f64 r a)) b))
(/.f64 (*.f64 r (sin.f64 a)) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 a) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 a) (cos.f64 (+.f64 b a))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 21 to 11 computations (47.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

14.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 b)
✓	0.1b	(*.f64 r (sin.f64 b))
✓	0.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
✓	2.7b	(cos.f64 (+.f64 b a))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series27.0ms (0.2%)

Counts

4 → 88

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	a	@	0	(cos.f64 (+.f64 b a))
2.0ms	b	@	inf	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
2.0ms	b	@	0	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
2.0ms	r	@	0	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
2.0ms	a	@	0	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`prod-diff_binary64`
556×	`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	29
1	200	29
2	2938	29

Stop Event

1×	node limit

Counts

4 → 156

Calls

Call 1

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

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

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

851×	`fma-def_binary64`
750×	`associate-l_binary64`
372×	`times-frac_binary64`
327×	`associate-/l*_binary64`
256×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	1431
1	480	1373
2	1591	1324
3	7896	1315

Stop Event

1×	node limit

Counts

244 → 209

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

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

eval57.0ms (0.4%)

Compiler: Compiled 4452 to 1390 computations (68.8% saved)

prune99.0ms (0.7%)

Pruning

48 alts after pruning (48 fresh and 0 done)

	Pruned	Kept	Total
New	161	48	209
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	162	48	210

Error

0.1b

Counts

210 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	14.2b	(/.f64 (*.f64 r (expm1.f64 (log1p.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
	37.0b	(/.f64 (*.f64 r (-.f64 (exp.f64 (log1p.f64 (sin.f64 b))) 1)) (cos.f64 (+.f64 b a)))
	24.8b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	28.6b	(/.f64 (*.f64 r (cbrt.f64 (pow.f64 (sin.f64 b) 3))) (cos.f64 (+.f64 b a)))
	14.6b	(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
	14.2b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	24.8b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	14.2b	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (+.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)))))
	26.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
	37.0b	(/.f64 (*.f64 r (log.f64 (exp.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
	14.9b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 2) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))))
	35.2b	(/.f64 (*.f64 r (sqrt.f64 (pow.f64 (sin.f64 b) 2))) (cos.f64 (+.f64 b a)))
	48.6b	(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
	39.0b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
	14.2b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	14.9b	(/.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
	40.6b	(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
	24.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	14.3b	(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
	28.0b	(/.f64 (.f64 r (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))))))
	30.3b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3)))) (.f64 (+.f64 (.f64 b (.f64 b -1/2)) 1) (cos.f64 a))))
	1.0b	(/.f64 (.f64 r (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))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	30.3b	(/.f64 (.f64 r (sin.f64 b)) (+.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)))))))
	14.3b	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3)))
	14.4b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
▶	30.7b	(*.f64 b (/.f64 r (cos.f64 a)))
	30.0b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)))))
▶	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	1.0b	(/.f64 (.f64 r (sin.f64 b)) (+.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))))))
	30.7b	(/.f64 (*.f64 b r) (cos.f64 a))
	14.4b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
	14.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
▶	29.6b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
▶	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	27.5b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))
	14.9b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
	14.6b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) -2) (/.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (cos.f64 (+.f64 b a)))))
	31.4b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2))
	28.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	35.9b	(/.f64 (*.f64 r (exp.f64 (log.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
	47.5b	(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
▶	14.6b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
	31.1b	(/.f64 (.f64 r (+.f64 (.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 (+.f64 b a)))
	27.6b	(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)))
	30.6b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))

Compiler

Compiled 1932 to 1194 computations (38.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 54 to 12 computations (77.8% saved)

series33.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
9.0ms	r	@	0	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
5.0ms	a	@	0	(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
3.0ms	b	@	inf	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
2.0ms	b	@	inf	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
2.0ms	a	@	inf	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))

rewrite112.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`log-prod_binary64`
333×	`pow2_binary64`
308×	`prod-diff_binary64`
262×	`pow-unpow_binary64`
236×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	267	48
2	3575	28

Stop Event

1×	node limit

Counts

3 → 229

Calls

Call 1

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

Inputs

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

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

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

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

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

simplify300.0ms (2%)

Algorithm

1×	egg-herbie

Rules

941×	`fma-def_binary64`
632×	`associate-l_binary64`
615×	`associate-r_binary64`
356×	`times-frac_binary64`
315×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	2131
1	474	2036
2	1597	1960

Stop Event

1×	node limit

Counts

313 → 281

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series10.0ms (0.1%)

Counts

2 → 40

Calls

15 calls:

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

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`pow1_binary64`
714×	`add-log-exp_binary64`
714×	`log1p-expm1-u_binary64`
714×	`expm1-log1p-u_binary64`
697×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	144	15
2	1896	15

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

623×	`distribute-rgt-in_binary64`
549×	`fma-def_binary64`
525×	`distribute-lft-neg-in_binary64`
520×	`distribute-rgt-neg-in_binary64`
461×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	514
1	205	473
2	825	448
3	4142	430

Stop Event

1×	node limit

Counts

93 → 70

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 10 computations (74.4% saved)

series12.0ms (0.1%)

Counts

2 → 40

Calls

15 calls:

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

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`prod-diff_binary64`
676×	`log-prod_binary64`
232×	`fma-def_binary64`
231×	`pow1/3_binary64`
226×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	237	25
2	3406	25

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

769×	`fma-def_binary64`
737×	`associate-l_binary64`
685×	`associate-/l*_binary64`
466×	`associate-/r*_binary64`
306×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1322
1	408	1274
2	1618	1215

Stop Event

1×	node limit

Counts

106 → 99

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
✓	0.5b	(cbrt.f64 (cos.f64 (+.f64 b a)))
✓	0.5b	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)
	2.7b	(cos.f64 (+.f64 b a))

Compiler

Compiled 44 to 14 computations (68.2% saved)

series70.0ms (0.5%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
38.0ms	a	@	0	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)
10.0ms	a	@	inf	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)
5.0ms	b	@	0	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)
2.0ms	b	@	inf	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)
2.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)

rewrite127.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`log-prod_binary64`
610×	`prod-diff_binary64`
329×	`pow2_binary64`
235×	`fma-def_binary64`
227×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	268	28
2	3454	28

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

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

Outputs

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

simplify113.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

866×	`times-frac_binary64`
433×	`associate-/l*_binary64`
392×	`associate-r_binary64`
290×	`fma-def_binary64`
288×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	4686
1	1092	4274
2	4188	3712

Stop Event

1×	node limit

Counts

232 → 208

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (cos.f64 a))
(+.f64 (.f64 (pow.f64 1 1/3) (cos.f64 a)) (.f64 (+.f64 (.f64 -2/3 (.f64 (sin.f64 a) (pow.f64 (.f64 1 (pow.f64 (cos.f64 a) 4)) 1/9))) (.f64 -1/3 (.f64 (sin.f64 a) (pow.f64 (.f64 1 (pow.f64 (cos.f64 a) 4)) 1/9)))) b))
(+.f64 (.f64 (pow.f64 1 1/3) (cos.f64 a)) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (sin.f64 a) (pow.f64 (.f64 1 (pow.f64 (cos.f64 a) 4)) 1/9))) (.f64 -1/3 (.f64 (sin.f64 a) (pow.f64 (.f64 1 (pow.f64 (cos.f64 a) 4)) 1/9)))) b) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (cos.f64 a)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 4)) 1/9))) (.f64 2/3 (.f64 (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9)))) (pow.f64 (/.f64 1 (cos.f64 a)) 1/3))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9)))) (pow.f64 1 1/3))) (.f64 2/9 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9))))) (pow.f64 b 2))))
(+.f64 (.f64 (pow.f64 1 1/3) (cos.f64 a)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 -1/3 (.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 5)) 1/9))) (+.f64 (.f64 -1/6 (sin.f64 a)) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) 1/3))) (.f64 -1/3 (.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9)))) (sin.f64 a)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 5)) 1/9)))))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 (cos.f64 a)) 1/3) (+.f64 (.f64 -1/9 (.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9)))) (sin.f64 a)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 8)) 1/9))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 a)) 1/3) (+.f64 (.f64 -1/3 (.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 5)) 1/9))) (+.f64 (.f64 -1/6 (sin.f64 a)) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) 1/3))) (.f64 -1/3 (.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9)))) (sin.f64 a)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 5)) 1/9)))))))) (.f64 -1/9 (.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 8)) 1/9)))))) (+.f64 (.f64 -1/3 (.f64 (.f64 (sin.f64 a) (+.f64 (.f64 1/9 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 4)) 1/9))) (.f64 2/3 (.f64 (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9)))) (pow.f64 (/.f64 1 (cos.f64 a)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) 1/9))) (.f64 -2/9 (.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9)))) (sin.f64 a)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 5)) 1/9)))))) (pow.f64 b 3)) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (sin.f64 a) (pow.f64 (.f64 1 (pow.f64 (cos.f64 a) 4)) 1/9))) (.f64 -1/3 (.f64 (sin.f64 a) (pow.f64 (.f64 1 (pow.f64 (cos.f64 a) 4)) 1/9)))) b) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (cos.f64 a)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 4)) 1/9))) (.f64 2/3 (.f64 (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9)))) (pow.f64 (/.f64 1 (cos.f64 a)) 1/3))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9)))) (pow.f64 1 1/3))) (.f64 2/9 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9))))) (pow.f64 b 2)))))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 a b)))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 a b)))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 a b)))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 a b)))
(.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 a (.f64 -1 b))))
(.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 a (.f64 -1 b))))
(.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 a (.f64 -1 b))))
(.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 a (.f64 -1 b))))
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(+.f64 (.f64 (pow.f64 1 1/3) (cos.f64 b)) (.f64 a (+.f64 (.f64 -1/3 (.f64 (sin.f64 b) (pow.f64 (.f64 1 (pow.f64 (cos.f64 b) 4)) 1/9))) (.f64 -2/3 (.f64 (sin.f64 b) (pow.f64 (.f64 1 (pow.f64 (cos.f64 b) 4)) 1/9))))))
(+.f64 (.f64 (pow.f64 1 1/3) (cos.f64 b)) (+.f64 (.f64 a (+.f64 (.f64 -1/3 (.f64 (sin.f64 b) (pow.f64 (.f64 1 (pow.f64 (cos.f64 b) 4)) 1/9))) (.f64 -2/3 (.f64 (sin.f64 b) (pow.f64 (.f64 1 (pow.f64 (cos.f64 b) 4)) 1/9))))) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2)))))) (+.f64 (.f64 (pow.f64 (.f64 1 (cos.f64 b)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2)))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2)))) (pow.f64 (/.f64 1 (cos.f64 b)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 4)) 1/9)))))) (.f64 2/9 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (/.f64 1 (cos.f64 b)) 1/9))))) (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 1 1/3) (cos.f64 b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2)))) (sin.f64 b)))) (+.f64 (.f64 -1/6 (sin.f64 b)) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 2)) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 5)) 1/9) (.f64 (sin.f64 b) (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2)))))))))))) (+.f64 (.f64 -1/9 (.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2)))) (sin.f64 b)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 8)) 1/9))) (.f64 -1/9 (.f64 (.f64 (sin.f64 b) (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2))))) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 8)) 1/9))))) (pow.f64 (.f64 1 (cos.f64 b)) 1/3)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2)))) (sin.f64 b)))) (+.f64 (.f64 -1/6 (sin.f64 b)) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 2)) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 5)) 1/9) (.f64 (sin.f64 b) (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2)))))))))))) (+.f64 (.f64 -1/3 (.f64 (.f64 (sin.f64 b) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2)))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2)))) (pow.f64 (/.f64 1 (cos.f64 b)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 4)) 1/9)))))) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 2)) 1/9))) (.f64 -2/9 (.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2)))) (sin.f64 b)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 5)) 1/9)))))) (pow.f64 a 3)) (+.f64 (.f64 a (+.f64 (.f64 -1/3 (.f64 (sin.f64 b) (pow.f64 (.f64 1 (pow.f64 (cos.f64 b) 4)) 1/9))) (.f64 -2/3 (.f64 (sin.f64 b) (pow.f64 (.f64 1 (pow.f64 (cos.f64 b) 4)) 1/9))))) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2)))))) (+.f64 (.f64 (pow.f64 (.f64 1 (cos.f64 b)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2)))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2)))) (pow.f64 (/.f64 1 (cos.f64 b)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 4)) 1/9)))))) (.f64 2/9 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (/.f64 1 (cos.f64 b)) 1/9))))) (pow.f64 a 2)))))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 a b)))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 a b)))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 a b)))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 a b)))
(.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 b (.f64 -1 a))))
(.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 b (.f64 -1 a))))
(.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 b (.f64 -1 a))))
(.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 b (.f64 -1 a))))
(pow.f64 (cos.f64 a) 1/3)
(+.f64 (pow.f64 (cos.f64 a) 1/3) (.f64 -1/3 (.f64 (*.f64 (sin.f64 a) b) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) 1/9))))
(+.f64 (pow.f64 (cos.f64 a) 1/3) (+.f64 (.f64 -1/3 (.f64 (.f64 (sin.f64 a) b) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) 1/9))) (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9)))) (pow.f64 b 2)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) 1/3)))))
(+.f64 (pow.f64 (cos.f64 a) 1/3) (+.f64 (.f64 -1/3 (.f64 (.f64 (sin.f64 a) b) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 5)) 1/9))) (+.f64 (.f64 -1/6 (sin.f64 a)) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) 1/3))) (.f64 -1/3 (.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9)))) (sin.f64 a)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 5)) 1/9)))))) (pow.f64 b 3)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) 1/3))) (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9)))) (pow.f64 b 2)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) 1/3))))))
(pow.f64 (cos.f64 (+.f64 a b)) 1/3)
(pow.f64 (cos.f64 (+.f64 a b)) 1/3)
(pow.f64 (cos.f64 (+.f64 a b)) 1/3)
(pow.f64 (cos.f64 (+.f64 a b)) 1/3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 1/3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 1/3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 1/3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 1/3)
(pow.f64 (cos.f64 b) 1/3)
(+.f64 (.f64 -1/3 (.f64 (*.f64 (sin.f64 b) a) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 2)) 1/9))) (pow.f64 (cos.f64 b) 1/3))
(+.f64 (.f64 -1/3 (.f64 (.f64 (sin.f64 b) a) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 2)) 1/9))) (+.f64 (pow.f64 (cos.f64 b) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 2)) 1/3) (.f64 (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2)))) (pow.f64 a 2))))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (sin.f64 b) a) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 2)) 1/9))) (+.f64 (pow.f64 (cos.f64 b) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 2)) 1/3) (.f64 (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2)))) (pow.f64 a 2)))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 2)) 1/3) (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2)))) (sin.f64 b)))) (+.f64 (.f64 -1/6 (sin.f64 b)) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 2)) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 5)) 1/9) (.f64 (sin.f64 b) (-.f64 (.f64 -1/2 (cos.f64 b)) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 b)) 1/9) (pow.f64 (sin.f64 b) 2))))))))))))))))
(pow.f64 (cos.f64 (+.f64 a b)) 1/3)
(pow.f64 (cos.f64 (+.f64 a b)) 1/3)
(pow.f64 (cos.f64 (+.f64 a b)) 1/3)
(pow.f64 (cos.f64 (+.f64 a b)) 1/3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 1/3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 1/3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 1/3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 1/3)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))

Outputs
(*.f64 (pow.f64 1 1/3) (cos.f64 a))
(cos.f64 a)
(+.f64 (.f64 (pow.f64 1 1/3) (cos.f64 a)) (.f64 (+.f64 (.f64 -2/3 (.f64 (sin.f64 a) (pow.f64 (.f64 1 (pow.f64 (cos.f64 a) 4)) 1/9))) (.f64 -1/3 (.f64 (sin.f64 a) (pow.f64 (.f64 1 (pow.f64 (cos.f64 a) 4)) 1/9)))) b))
(+.f64 (cos.f64 a) (.f64 (.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 (pow.f64 (cos.f64 a) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 a) 4) 1/18))) -1) b))
(fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 a) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 a) 4) 1/18)) (*.f64 (sin.f64 a) -1)) b (cos.f64 a))
(fma.f64 (neg.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 (pow.f64 (cos.f64 a) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 a) 4) 1/18)))) b (cos.f64 a))
(+.f64 (.f64 (pow.f64 1 1/3) (cos.f64 a)) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (sin.f64 a) (pow.f64 (.f64 1 (pow.f64 (cos.f64 a) 4)) 1/9))) (.f64 -1/3 (.f64 (sin.f64 a) (pow.f64 (.f64 1 (pow.f64 (cos.f64 a) 4)) 1/9)))) b) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (cos.f64 a)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 a) 4)) 1/9))) (.f64 2/3 (.f64 (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9)))) (pow.f64 (/.f64 1 (cos.f64 a)) 1/3))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9)))) (pow.f64 1 1/3))) (.f64 2/9 (*.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (/.f64 1 (cos.f64 a)) 1/9))))) (pow.f64 b 2))))
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(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 12 computations (78.2% saved)

series22.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite117.0ms (0.8%)

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	52
1	293	28
2	4304	28

Stop Event

1×	node limit

Counts

3 → 249

Calls

Call 1

Inputs

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

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

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

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

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

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-def_binary64`
677×	`associate-l_binary64`
655×	`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	1623	1928

Stop Event

1×	node limit

Counts

333 → 300

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

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

eval910.0ms (6.1%)

Compiler: Compiled 31938 to 9805 computations (69.3% saved)

prune400.0ms (2.7%)

Pruning

64 alts after pruning (62 fresh and 2 done)

	Pruned	Kept	Total
New	1107	43	1150
Fresh	24	19	43
Picked	0	1	1
Done	3	1	4
Total	1134	64	1198

Error

0.0b

Counts

1198 → 64

Alt Table

Click to see full alt table

Status	Error	Program
	14.2b	(/.f64 (*.f64 r (expm1.f64 (log1p.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
	37.0b	(/.f64 (*.f64 r (-.f64 (exp.f64 (log1p.f64 (sin.f64 b))) 1)) (cos.f64 (+.f64 b a)))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 (sin.f64 b) (sin.f64 a))))))))
	24.8b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	53.1b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
	24.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	14.6b	(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
	0.7b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))))
	16.5b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (.f64 (cos.f64 a) (sqrt.f64 (cos.f64 b))) (sqrt.f64 (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
	24.8b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	30.3b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (fma.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)) (.f64 (sin.f64 a) (-.f64 (*.f64 1/6 (pow.f64 b 3)) b)))))
	14.2b	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	21.1b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
	37.0b	(/.f64 (*.f64 r (log.f64 (exp.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
	31.1b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
	14.9b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
	30.7b	(/.f64 b (/.f64 (cos.f64 a) r))
	40.6b	(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
	1.3b	(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	48.6b	(pow.f64 (pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) 3) 1/3)
	35.8b	(*.f64 b (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1))
	1.0b	(/.f64 (.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) 3))
▶	14.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b a)))
	39.0b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
	14.2b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	14.9b	(/.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
	28.4b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 a)) 3))
▶	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
▶	0.3b	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
	30.3b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3)))) (.f64 (+.f64 (.f64 b (.f64 b -1/2)) 1) (cos.f64 a))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))
	24.8b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (.f64 (cbrt.f64 (cos.f64 a)) (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
	30.7b	(/.f64 r (/.f64 (cos.f64 a) b))
	14.3b	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3)))
	32.0b	(/.f64 (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	26.7b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 (sin.f64 b) a)))
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	25.0b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))
▶	41.4b	(*.f64 r b)
	0.7b	(/.f64 (.f64 r (sin.f64 b)) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 b) (cos.f64 a))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))
	0.3b	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
	14.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
	29.4b	(/.f64 (.f64 r b) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
	14.4b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	33.3b	(/.f64 (exp.f64 (log.f64 (.f64 r (sin.f64 b)))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 3)))
	14.6b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) -2) (/.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (cos.f64 (+.f64 b a)))))
	30.7b	(/.f64 (*.f64 r b) (cos.f64 a))
	28.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	14.9b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
	31.4b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2))
	26.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
▶	14.4b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
	35.9b	(/.f64 (*.f64 r (exp.f64 (log.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
	47.5b	(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
	38.7b	(*.f64 (sin.f64 b) r)
	23.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
	53.1b	(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
	30.6b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
	47.7b	(*.f64 b (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 a))) 2))

Compiler

Compiled 2114 to 1422 computations (32.7% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 64 to 12 computations (81.3% saved)

series17.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

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

rewrite116.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`log-prod_binary64`
336×	`pow2_binary64`
324×	`prod-diff_binary64`
254×	`pow-unpow_binary64`
238×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	77
1	267	69
2	3505	39

Stop Event

1×	node limit

Counts

4 → 250

Calls

Call 1

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

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

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	2979
1	652	2833
2	2333	2734

Stop Event

1×	node limit

Counts

358 → 318

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 b)
	0.1b	(*.f64 r (sin.f64 b))
✓	0.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b a)))
✓	2.7b	(cos.f64 (-.f64 b a))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series11.0ms (0.1%)

Counts

2 → 52

Calls

15 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`log-prod_binary64`
513×	`prod-diff_binary64`
348×	`pow-prod-down_binary64`
291×	`pow2_binary64`
213×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	201	20
2	2954	20

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

Outputs

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

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

678×	`associate-r_binary64`
648×	`associate-l_binary64`
573×	`fma-def_binary64`
407×	`times-frac_binary64`
344×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1174
1	409	1108
2	1477	1063

Stop Event

1×	node limit

Counts

153 → 139

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 r (sin.f64 b))
✓	0.2b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
✓	0.6b	(log.f64 (exp.f64 (cos.f64 (+.f64 b a))))
	2.7b	(cos.f64 (+.f64 b a))

Compiler

Compiled 41 to 10 computations (75.6% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

594×	`log-prod_binary64`
592×	`prod-diff_binary64`
308×	`pow2_binary64`
216×	`fma-def_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	222	20
2	3122	20

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

711×	`associate-r_binary64`
673×	`associate-l_binary64`
606×	`fma-def_binary64`
372×	`times-frac_binary64`
327×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1187
1	404	1140
2	1368	1100

Stop Event

1×	node limit

Counts

180 → 157

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))))

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

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 12 computations (77.4% saved)

series74.0ms (0.5%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
54.0ms	a	@	inf	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
2.0ms	b	@	-inf	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
2.0ms	b	@	inf	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
2.0ms	r	@	0	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
2.0ms	r	@	inf	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))

rewrite286.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`log-prod_binary64`
678×	`prod-diff_binary64`
242×	`expm1-udef_binary64`
242×	`log1p-udef_binary64`
205×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	272	28
2	3717	28

Stop Event

1×	node limit

Counts

3 → 225

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify152.0ms (1%)

Algorithm

1×	egg-herbie

Rules

807×	`fma-def_binary64`
714×	`associate-l_binary64`
691×	`associate-r_binary64`
356×	`times-frac_binary64`
315×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	2061
1	446	1962
2	1553	1908

Stop Event

1×	node limit

Counts

309 → 272

Calls

Call 1

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

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

eval936.0ms (6.2%)

Compiler: Compiled 29439 to 8090 computations (72.5% saved)

prune408.0ms (2.7%)

Pruning

69 alts after pruning (65 fresh and 4 done)

	Pruned	Kept	Total
New	1040	38	1078
Fresh	30	27	57
Picked	0	1	1
Done	3	3	6
Total	1073	69	1142

Error

0.0b

Counts

1142 → 69

Alt Table

Click to see full alt table

Status	Error	Program
	28.2b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 a))))
	53.1b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
	24.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
▶	14.4b	(*.f64 (/.f64 (sin.f64 b) (log.f64 (exp.f64 (cos.f64 (+.f64 a b))))) r)
	26.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
	24.8b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	30.3b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (fma.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)) (.f64 (sin.f64 a) (-.f64 (*.f64 1/6 (pow.f64 b 3)) b)))))
▶	21.1b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
	24.9b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 b))))
	14.2b	(/.f64 (*.f64 r (expm1.f64 (log1p.f64 (sin.f64 b)))) (cos.f64 (-.f64 b a)))
	14.9b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
	31.1b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
	30.7b	(/.f64 b (/.f64 (cos.f64 a) r))
	40.6b	(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
	1.3b	(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	37.0b	(/.f64 (*.f64 r (-.f64 (exp.f64 (log1p.f64 (sin.f64 b))) 1)) (cos.f64 (-.f64 b a)))
	48.6b	(pow.f64 (pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) 3) 1/3)
	35.8b	(*.f64 b (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1))
	1.0b	(/.f64 (.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) 3))
	24.8b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	28.1b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
	14.2b	(/.f64 (*.f64 r (log1p.f64 (expm1.f64 (sin.f64 b)))) (cos.f64 (-.f64 b a)))
	15.0b	(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 3) r)
	28.4b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 a)) 3))
	14.2b	(*.f64 (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 a b))))) r)
	21.0b	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 a)))) r)
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	0.9b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 3)))
	14.3b	(/.f64 (.f64 r (sin.f64 b)) (.f64 1/3 (*.f64 3 (cos.f64 (+.f64 b a)))))
	14.6b	(/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	14.9b	(/.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 3)) (cos.f64 (-.f64 b a)))
	30.7b	(/.f64 r (/.f64 (cos.f64 a) b))
	14.2b	(*.f64 (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 a b))))) r)
	14.2b	(*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))
	32.0b	(/.f64 (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	14.2b	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	47.5b	(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (-.f64 b a)))
	26.7b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 (sin.f64 b) a)))
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	14.3b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	14.3b	(/.f64 (.f64 r (sin.f64 b)) (.f64 3 (*.f64 1/3 (cos.f64 (+.f64 b a)))))
	39.0b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (-.f64 b a)))
	25.0b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))
✓	41.4b	(*.f64 r b)
	0.3b	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
	0.6b	(.f64 (/.f64 (sin.f64 b) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) r)
	31.5b	(/.f64 (pow.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 2) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	14.9b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (-.f64 b a)))
	29.4b	(/.f64 (.f64 r b) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
	26.3b	(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))) r)
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))
	14.8b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))) 3)
▶	14.2b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	33.3b	(/.f64 (exp.f64 (log.f64 (.f64 r (sin.f64 b)))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	14.4b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 b a)))) 1))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (log1p.f64 (expm1.f64 (.f64 (cos.f64 b) (cos.f64 a))))))
	30.7b	(/.f64 (*.f64 r b) (cos.f64 a))
	28.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	37.0b	(/.f64 (*.f64 r (log.f64 (exp.f64 (sin.f64 b)))) (cos.f64 (-.f64 b a)))
	30.6b	(/.f64 (*.f64 r b) (cos.f64 (-.f64 b a)))
	24.8b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
▶	38.7b	(*.f64 (sin.f64 b) r)
	23.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
	53.1b	(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
	14.2b	(.f64 (/.f64 1 (cos.f64 (-.f64 b a))) (.f64 r (sin.f64 b)))
▶	0.3b	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
	30.3b	(.f64 (/.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 a) (-.f64 (.f64 (pow.f64 b 3) 1/6) b)) (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a)))) r)

Compiler

Compiled 2063 to 1428 computations (30.8% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 65 to 12 computations (81.5% saved)

series53.0ms (0.4%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
43.0ms	a	@	-inf	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	b	@	inf	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	b	@	-inf	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	a	@	inf	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	a	@	-inf	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)

rewrite110.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`log-prod_binary64`
604×	`fma-def_binary64`
311×	`fma-neg_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	296	31
2	4356	31

Stop Event

1×	node limit

Counts

3 → 247

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

939×	`fma-def_binary64`
497×	`times-frac_binary64`
455×	`associate-/l*_binary64`
437×	`associate-*l/_binary64`
359×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	2547
1	565	2465
2	2098	2378

Stop Event

1×	node limit

Counts

331 → 296

Calls

Call 1

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

localize57.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series2.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite42.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

462×	`pow1_binary64`
440×	`add-sqr-sqrt_binary64`
435×	`*-un-lft-identity_binary64`
422×	`add-log-exp_binary64`
422×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	97	6
2	1146	6

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify103.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1156×	`fma-def_binary64`
690×	`unswap-sqr_binary64`
654×	`sqr-pow_binary64`
596×	`cube-prod_binary64`
434×	`fabs-mul_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	76
1	68	73
2	189	62
3	580	60
4	1570	58
5	2412	58
6	2619	58
7	3067	58
8	3946	58
9	4089	58
10	4316	58
11	4798	58
12	5394	58
13	6267	58
14	7376	58

Stop Event

1×	node limit

Counts

15 → 18

Calls

Call 1

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

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

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 b)
	0.1b	(*.f64 (sin.f64 b) r)
✓	0.2b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
✓	2.7b	(cos.f64 (+.f64 a b))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series5.0ms (0%)

Counts

2 → 32

Calls

15 calls:

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

rewrite209.0ms (1.4%)

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	20
1	200	20
2	2940	20

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

714×	`associate-r_binary64`
671×	`associate-l_binary64`
606×	`fma-def_binary64`
372×	`times-frac_binary64`
325×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	891
1	398	812
2	1362	772

Stop Event

1×	node limit

Counts

153 → 157

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

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

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 (sin.f64 b) (log.f64 (exp.f64 (cos.f64 (+.f64 a b))))) r)
✓	0.2b	(/.f64 (sin.f64 b) (log.f64 (exp.f64 (cos.f64 (+.f64 a b)))))
✓	0.6b	(log.f64 (exp.f64 (cos.f64 (+.f64 a b))))
	2.7b	(cos.f64 (+.f64 a b))

Compiler

Compiled 46 to 10 computations (78.3% saved)

series8.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`prod-diff_binary64`
577×	`log-prod_binary64`
308×	`pow2_binary64`
219×	`fma-def_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	223	31
2	3066	31

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

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

Outputs

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

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	1827
1	584	1745
2	2104	1658

Stop Event

1×	node limit

Counts

231 → 201

Calls

Call 1

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

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

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 11 computations (78% saved)

series165.0ms (1.1%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
151.0ms	a	@	inf	(*.f64 (sin.f64 b) a)
3.0ms	a	@	-inf	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
1.0ms	a	@	inf	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
1.0ms	r	@	0	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
1.0ms	b	@	-inf	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`log-prod_binary64`
509×	`fma-def_binary64`
279×	`fma-neg_binary64`
259×	`expm1-udef_binary64`
259×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	272	30
2	3989	30

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

simplify684.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

750×	`associate-l_binary64`
692×	`fma-def_binary64`
595×	`associate-/r*_binary64`
411×	`associate-*l/_binary64`
350×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1484
1	524	1422
2	1932	1378

Stop Event

1×	node limit

Counts

105 → 102

Calls

Call 1

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

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

eval567.0ms (3.8%)

Compiler: Compiled 24891 to 7497 computations (69.9% saved)

prune298.0ms (2%)

Pruning

66 alts after pruning (59 fresh and 7 done)

	Pruned	Kept	Total
New	1006	32	1038
Fresh	33	27	60
Picked	1	0	1
Done	1	7	8
Total	1041	66	1107

Error

0.0b

Counts

1107 → 66

Alt Table

Click to see full alt table

Status	Error	Program
	46.7b	(-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1)
	14.2b	(.f64 (/.f64 (sin.f64 b) (.f64 1/3 (*.f64 3 (cos.f64 (+.f64 a b))))) r)
	53.1b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
	24.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	0.4b	(/.f64 (sin.f64 b) (/.f64 (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) r))
	30.3b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (fma.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)) (.f64 (sin.f64 a) (-.f64 (*.f64 1/6 (pow.f64 b 3)) b)))))
	38.7b	(*.f64 (expm1.f64 (log1p.f64 (sin.f64 b))) r)
	21.0b	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) r)
	37.0b	(/.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
	47.5b	(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3) (cos.f64 (+.f64 a b)))
	24.9b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 b))))
	0.5b	(.f64 (/.f64 (sin.f64 b) (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))) r)
	14.9b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3) (cos.f64 (+.f64 a b)))
	31.1b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
	26.7b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (fma.f64 -1/2 (.f64 a a) 1)) (.f64 (sin.f64 b) a)))
	24.8b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	14.9b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
	40.6b	(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
	48.6b	(pow.f64 (pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) 3) 1/3)
	1.0b	(/.f64 (.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) 3))
	24.8b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	28.1b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
	26.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
	37.0b	(/.f64 (*.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 b))) 1) r) (cos.f64 (+.f64 a b)))
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	0.9b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 3)))
	42.6b	(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r)))
	26.3b	(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a))) r)
	30.7b	(/.f64 r (/.f64 (cos.f64 a) b))
	14.2b	(*.f64 (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a))))) r)
	14.2b	(*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))
	41.8b	(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
	14.6b	(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
	32.0b	(/.f64 (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	14.2b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	58.3b	(/.f64 (neg.f64 r) a)
	0.3b	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) r)
	39.0b	(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 a b)))
	30.6b	(*.f64 (/.f64 b (cos.f64 a)) r)
	25.0b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))
✓	41.4b	(*.f64 r b)
	0.3b	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
	42.0b	(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) (+.f64 (*.f64 1/120 (pow.f64 b 5)) b)) r)
	14.3b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
	39.0b	(*.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 3) r)
✓	14.2b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	29.4b	(/.f64 (.f64 r b) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
	33.3b	(/.f64 (exp.f64 (log.f64 (.f64 r (sin.f64 b)))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (log1p.f64 (expm1.f64 (.f64 (cos.f64 b) (cos.f64 a))))))
	30.7b	(/.f64 (*.f64 r b) (cos.f64 a))
	24.8b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	30.6b	(/.f64 (*.f64 r b) (cos.f64 (-.f64 b a)))
	15.0b	(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3) r)
✓	38.7b	(*.f64 (sin.f64 b) r)
	14.3b	(.f64 (/.f64 (sin.f64 b) (.f64 3 (*.f64 1/3 (cos.f64 (+.f64 a b))))) r)
	53.1b	(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
	28.2b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
	47.4b	(*.f64 (sqrt.f64 (pow.f64 (sin.f64 b) 2)) r)
	23.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
	14.2b	(.f64 (/.f64 1 (cos.f64 (-.f64 b a))) (.f64 r (sin.f64 b)))
✓	0.3b	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
	14.9b	(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 3) r) (cos.f64 (+.f64 a b)))
	30.3b	(.f64 (/.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 a) (-.f64 (.f64 (pow.f64 b 3) 1/6) b)) (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a)))) r)
	28.4b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 a)) 3))

Compiler

Compiled 970 to 673 computations (30.6% saved)

regimes575.0ms (3.8%)

Counts

163 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1)
(/.f64 (*.f64 r b) (cos.f64 (-.f64 b a)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 b (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.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 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(.f64 (/.f64 1 (cos.f64 (-.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(/.f64 (.f64 r b) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 (sin.f64 b) (.f64 1/3 (*.f64 3 (cos.f64 (+.f64 a b))))) r)
(.f64 (/.f64 (sin.f64 b) (.f64 3 (*.f64 1/3 (cos.f64 (+.f64 a b))))) r)
(/.f64 (.f64 r (sin.f64 b)) (.f64 1/3 (*.f64 3 (cos.f64 (+.f64 b a)))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 3 (*.f64 1/3 (cos.f64 (+.f64 b a)))))
(/.f64 (.f64 r (+.f64 (.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 (+.f64 b a)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) (+.f64 (*.f64 1/120 (pow.f64 b 5)) b)) r)
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 b))) r)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 3) r)
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 b) 2)) r)
(*.f64 b (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 a))) 2))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 a)) 3))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))
(/.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a))))) r)
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (log.f64 (exp.f64 (cos.f64 (+.f64 a b))))) r)
(/.f64 (*.f64 r (expm1.f64 (log1p.f64 (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (log1p.f64 (expm1.f64 (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 a b))))) r)
(*.f64 (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 a b))))) r)
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (log.f64 (exp.f64 (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (expm1.f64 (log1p.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (log.f64 (exp.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (exp.f64 (log.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3) (cos.f64 (+.f64 a b)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3) r)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 3) r) (cos.f64 (+.f64 a b)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 3) r)
(/.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 3)) (cos.f64 (-.f64 b a)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (-.f64 b a)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))) 3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
(/.f64 (*.f64 r (cbrt.f64 (pow.f64 (sin.f64 b) 3))) (cos.f64 (+.f64 b a)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (*.f64 r (sqrt.f64 (pow.f64 (sin.f64 b) 2))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 b))) 1) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (-.f64 (exp.f64 (log1p.f64 (sin.f64 b))) 1)) (cos.f64 (-.f64 b a)))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 b a)))) 1))
(pow.f64 (pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) 3) 1/3)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (*.f64 r (-.f64 (exp.f64 (log1p.f64 (sin.f64 b))) 1)) (cos.f64 (+.f64 b a)))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (fma.f64 -1/2 (.f64 a a) 1)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 a) (-.f64 (.f64 (pow.f64 b 3) 1/6) b)) (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3)))) (.f64 (+.f64 (.f64 b (.f64 b -1/2)) 1) (cos.f64 a))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.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 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) r))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) r)
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) -2) (/.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (fma.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)) (.f64 (sin.f64 a) (-.f64 (*.f64 1/6 (pow.f64 b 3)) b)))))
(.f64 (/.f64 (sin.f64 b) (log.f64 (exp.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)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) r)
(/.f64 (.f64 r (sin.f64 b)) (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (exp.f64 (log.f64 (.f64 r (sin.f64 b)))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) 3))
(/.f64 (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 3)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.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 r (sin.f64 b)) (+.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 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (log1p.f64 (expm1.f64 (.f64 (cos.f64 b) (cos.f64 a))))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 3)))
(/.f64 (pow.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 2) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
(.f64 (/.f64 (sin.f64 b) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) r)
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 (sin.f64 b) (sin.f64 a))))))))
(/.f64 (.f64 r (sin.f64 b)) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 b) (cos.f64 a))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (.f64 (cos.f64 a) (sqrt.f64 (cos.f64 b))) (sqrt.f64 (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (.f64 (cbrt.f64 (cos.f64 a)) (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (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))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 2) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))
(/.f64 (.f64 r (sin.f64 b)) (+.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)))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (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))))))

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

Calls

4 calls:

153.0ms	a
145.0ms	r
103.0ms	b
100.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

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

Compiler

Compiled 2318 to 678 computations (70.8% saved)

regimes471.0ms (3.1%)

Counts

130 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1)
(/.f64 (*.f64 r b) (cos.f64 (-.f64 b a)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 b (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.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 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(.f64 (/.f64 1 (cos.f64 (-.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(/.f64 (.f64 r b) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 (sin.f64 b) (.f64 1/3 (*.f64 3 (cos.f64 (+.f64 a b))))) r)
(.f64 (/.f64 (sin.f64 b) (.f64 3 (*.f64 1/3 (cos.f64 (+.f64 a b))))) r)
(/.f64 (.f64 r (sin.f64 b)) (.f64 1/3 (*.f64 3 (cos.f64 (+.f64 b a)))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 3 (*.f64 1/3 (cos.f64 (+.f64 b a)))))
(/.f64 (.f64 r (+.f64 (.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 (+.f64 b a)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) (+.f64 (*.f64 1/120 (pow.f64 b 5)) b)) r)
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 b))) r)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 3) r)
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 b) 2)) r)
(*.f64 b (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 a))) 2))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 a)) 3))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))
(/.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a))))) r)
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (log.f64 (exp.f64 (cos.f64 (+.f64 a b))))) r)
(/.f64 (*.f64 r (expm1.f64 (log1p.f64 (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (log1p.f64 (expm1.f64 (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 a b))))) r)
(*.f64 (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 a b))))) r)
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (log.f64 (exp.f64 (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (expm1.f64 (log1p.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (log.f64 (exp.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (exp.f64 (log.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3) (cos.f64 (+.f64 a b)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3) r)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 3) r) (cos.f64 (+.f64 a b)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 3) r)
(/.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 3)) (cos.f64 (-.f64 b a)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (-.f64 b a)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))) 3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
(/.f64 (*.f64 r (cbrt.f64 (pow.f64 (sin.f64 b) 3))) (cos.f64 (+.f64 b a)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (*.f64 r (sqrt.f64 (pow.f64 (sin.f64 b) 2))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 b))) 1) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (-.f64 (exp.f64 (log1p.f64 (sin.f64 b))) 1)) (cos.f64 (-.f64 b a)))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 b a)))) 1))
(pow.f64 (pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) 3) 1/3)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (*.f64 r (-.f64 (exp.f64 (log1p.f64 (sin.f64 b))) 1)) (cos.f64 (+.f64 b a)))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (fma.f64 -1/2 (.f64 a a) 1)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 a) (-.f64 (.f64 (pow.f64 b 3) 1/6) b)) (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3)))) (.f64 (+.f64 (.f64 b (.f64 b -1/2)) 1) (cos.f64 a))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.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 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) r))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))

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

Calls

4 calls:

120.0ms	b
113.0ms	a
94.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
85.0ms	r

Results

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

Compiler

Compiled 1455 to 452 computations (68.9% saved)

regimes395.0ms (2.6%)

Counts

125 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 (neg.f64 r) a)
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1)
(/.f64 (*.f64 r b) (cos.f64 (-.f64 b a)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 b (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.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 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(.f64 (/.f64 1 (cos.f64 (-.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(/.f64 (.f64 r b) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 (sin.f64 b) (.f64 1/3 (*.f64 3 (cos.f64 (+.f64 a b))))) r)
(.f64 (/.f64 (sin.f64 b) (.f64 3 (*.f64 1/3 (cos.f64 (+.f64 a b))))) r)
(/.f64 (.f64 r (sin.f64 b)) (.f64 1/3 (*.f64 3 (cos.f64 (+.f64 b a)))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 3 (*.f64 1/3 (cos.f64 (+.f64 b a)))))
(/.f64 (.f64 r (+.f64 (.f64 -1/6 (pow.f64 b 3)) b)) (cos.f64 (+.f64 b a)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) (+.f64 (*.f64 1/120 (pow.f64 b 5)) b)) r)
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 b))) r)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 3) r)
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 b) 2)) r)
(*.f64 b (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 a))) 2))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 a)) 3))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))
(/.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a))))) r)
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (log.f64 (exp.f64 (cos.f64 (+.f64 a b))))) r)
(/.f64 (*.f64 r (expm1.f64 (log1p.f64 (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (log1p.f64 (expm1.f64 (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 a b))))) r)
(*.f64 (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 a b))))) r)
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (log.f64 (exp.f64 (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (expm1.f64 (log1p.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (log.f64 (exp.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (exp.f64 (log.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3) (cos.f64 (+.f64 a b)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3) r)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 3) r) (cos.f64 (+.f64 a b)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 3) r)
(/.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 3)) (cos.f64 (-.f64 b a)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (-.f64 b a)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))) 3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
(/.f64 (*.f64 r (cbrt.f64 (pow.f64 (sin.f64 b) 3))) (cos.f64 (+.f64 b a)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (*.f64 r (sqrt.f64 (pow.f64 (sin.f64 b) 2))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 3)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 b))) 1) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (-.f64 (exp.f64 (log1p.f64 (sin.f64 b))) 1)) (cos.f64 (-.f64 b a)))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 b a)))) 1))
(pow.f64 (pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) 3) 1/3)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (*.f64 r (-.f64 (exp.f64 (log1p.f64 (sin.f64 b))) 1)) (cos.f64 (+.f64 b a)))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (fma.f64 -1/2 (.f64 a a) 1)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) b)) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 a) (-.f64 (.f64 (pow.f64 b 3) 1/6) b)) (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3)))) (.f64 (+.f64 (.f64 b (.f64 b -1/2)) 1) (cos.f64 a))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 a)))) r)

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

Calls

4 calls:

119.0ms	b
90.0ms	r
82.0ms	a
63.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Error	Segments	Branch
14.2b	1	`r`
14.2b	1	`a`
14.2b	1	`b`
14.2b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 1375 to 437 computations (68.2% saved)

regimes67.0ms (0.4%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	a
19.0ms	r
18.0ms	b

Results

Error	Segments	Branch
14.2b	1	`r`
14.2b	1	`a`
14.2b	1	`b`

Compiler

Compiled 262 to 82 computations (68.7% saved)

regimes92.0ms (0.6%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	a
18.0ms	b
17.0ms	r

Results

Error	Segments	Branch
14.2b	1	`r`
14.2b	1	`a`
14.2b	1	`b`

Compiler

Compiled 244 to 79 computations (67.6% saved)

regimes87.0ms (0.6%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	b
16.0ms	r
16.0ms	a

Results

Error	Segments	Branch
14.2b	1	`r`
14.2b	1	`a`
14.2b	1	`b`

Compiler

Compiled 208 to 70 computations (66.3% saved)

regimes236.0ms (1.6%)

Counts

26 → 3

Calls

Call 1

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

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

Calls

3 calls:

106.0ms	r
83.0ms	a
40.0ms	b

Results

Error	Segments	Branch
20.8b	6	`r`
14.3b	3	`a`
14.0b	3	`b`

Compiler

Compiled 190 to 66 computations (65.3% saved)

bsearch212.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
107.0ms	3.021294679179908e-5	0.00011980081113499213
104.0ms	-5875159.686174767	-9.996197408248972e-14

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes121.0ms (0.8%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

3 calls:

54.0ms	r
32.0ms	b
30.0ms	a

Results

Error	Segments	Branch
20.8b	6	`r`
14.3b	3	`a`
14.0b	3	`b`

Compiler

Compiled 141 to 60 computations (57.4% saved)

bsearch182.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
109.0ms	3.021294679179908e-5	0.00011980081113499213
72.0ms	-5875159.686174767	-9.996197408248972e-14

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes248.0ms (1.7%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

143.0ms	r
49.0ms	a
48.0ms	b

Results

Error	Segments	Branch
21.6b	6	`r`
15.3b	3	`a`
14.0b	3	`b`

Compiler

Compiled 120 to 55 computations (54.2% saved)

bsearch194.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	3.021294679179908e-5	0.00011980081113499213
123.0ms	-5875159.686174767	-9.996197408248972e-14

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes63.0ms (0.4%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	b
24.0ms	a
10.0ms	r

Results

Error	Segments	Branch
30.6b	1	`r`
29.1b	3	`a`
27.9b	3	`b`

Compiler

Compiled 113 to 53 computations (53.1% saved)

bsearch140.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
69.0ms	0.00011980081113499213	1.0909745890892955
71.0ms	-171740001.13493082	-5875159.686174767

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes14.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	b
4.0ms	r
3.0ms	a

Results

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

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes13.0ms (0.1%)

Accuracy

Total -17.6b remaining (-42.7%)

Threshold costs -17.6b (-42.7%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 r b)

Calls

3 calls:

5.0ms	b
3.0ms	a
3.0ms	r

Results

Error	Segments	Branch
41.4b	1	`r`
41.4b	1	`a`
41.4b	1	`b`

Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	282
1	83	282
2	94	282
3	101	282
4	104	282

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (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 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(if (<=.f64 b -3154202338862281/536870912) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (if (<=.f64 b 8917287954894747/295147905179352825856) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(if (<=.f64 b -3154202338862281/536870912) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (if (<=.f64 b 8917287954894747/295147905179352825856) (.f64 (/.f64 b (cos.f64 a)) r) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(if (<=.f64 b -3154202338862281/536870912) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (if (<=.f64 b 8917287954894747/295147905179352825856) (.f64 (/.f64 b (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(if (<=.f64 b -5762638189761959/33554432) (.f64 (sin.f64 b) r) (if (<=.f64 b 8839739611320053/73786976294838206464) (.f64 (/.f64 b (cos.f64 a)) r) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(*.f64 r b)

Outputs
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (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 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b a)))
(*.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 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(if (<=.f64 b -3154202338862281/536870912) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (if (<=.f64 b 8917287954894747/295147905179352825856) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(if (<=.f64 b -3154202338862281/536870912) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (if (<=.f64 b 8917287954894747/295147905179352825856) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))))
(if (<=.f64 b -3154202338862281/536870912) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (if (<=.f64 b 8917287954894747/295147905179352825856) (.f64 (/.f64 b (cos.f64 a)) r) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(if (<=.f64 b -3154202338862281/536870912) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (if (<=.f64 b 8917287954894747/295147905179352825856) (.f64 r (/.f64 b (cos.f64 a))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))))
(if (<=.f64 b -3154202338862281/536870912) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (if (<=.f64 b 8917287954894747/295147905179352825856) (.f64 (/.f64 b (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(if (<=.f64 b -3154202338862281/536870912) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (if (<=.f64 b 8917287954894747/295147905179352825856) (.f64 r (/.f64 b (cos.f64 a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(if (<=.f64 b -5762638189761959/33554432) (.f64 (sin.f64 b) r) (if (<=.f64 b 8839739611320053/73786976294838206464) (.f64 (/.f64 b (cos.f64 a)) r) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b -5762638189761959/33554432) (.f64 (sin.f64 b) r) (if (<=.f64 b 8839739611320053/73786976294838206464) (.f64 r (/.f64 b (cos.f64 a))) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(*.f64 r b)
(*.f64 b r)

Compiler

Compiled 218 to 127 computations (41.7% saved)

soundness66.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

884×	`fma-def_binary64`
677×	`associate-l_binary64`
655×	`associate-r_binary64`
356×	`times-frac_binary64`
319×	`associate-/l*_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
0	144	2035
1	475	1988
2	1623	1928

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 119 to 76 computations (36.1% saved)

end84.0ms (0.6%)

Compiler: Compiled 185 to 61 computations (67% saved)