Details

analyze456.0ms (2.8%)

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)

sample3.4s (20.7%)

Results

2.1s	3598×	body	1024	valid
579.0ms	3032×	body	256	valid
548.0ms	1430×	body	512	valid
190.0ms	196×	body	2048	valid

Bogosity

preprocess16.0ms (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)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.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 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 r (sin.f64 b))
✓	0.3b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
✓	3.7b	(cos.f64 (+.f64 b a))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series16.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(*.f64 r (sin.f64 b))
2.0ms	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	@	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)))

rewrite76.0ms (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	26
1	200	26
2	2938	26

Stop Event

1×	node limit

Counts

3 → 133

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))

Outputs
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(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 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Outputs

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

((#(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))))))

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	1383
1	456	1333
2	1533	1282

Stop Event

1×	node limit

Counts

217 → 179

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)

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

eval47.0ms (0.3%)

Compiler: Compiled 4031 to 1218 computations (69.8% saved)

prune150.0ms (0.9%)

Pruning

42 alts after pruning (41 fresh and 1 done)

	Pruned	Kept	Total
New	138	41	179
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	138	42	180

Error

0.0b

Counts

180 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	14.9b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
	0.9b	(/.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))))
	14.4b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
	46.8b	(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
	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 (cos.f64 b)) (sin.f64 b))
	35.0b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
	14.9b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
	35.2b	(.f64 (/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 1) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
	25.0b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	14.2b	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 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))))
	14.3b	(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))))
	36.3b	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
	36.7b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
▶	14.2b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
	31.4b	(/.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))))))
	25.9b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 a (sin.f64 b))))
	14.2b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
	31.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))))
	35.7b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
	32.6b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
✓	14.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
	42.6b	(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
	14.2b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	0.5b	(/.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)))))))
	33.9b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2))
▶	35.8b	(*.f64 (/.f64 r (cos.f64 a)) b)
	14.6b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
	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)))))
	41.4b	(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
	26.5b	(/.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))))
	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))))))
	35.8b	(/.f64 (*.f64 b r) (cos.f64 a))
	37.3b	(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
	35.8b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
	14.2b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	34.1b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
	25.9b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
	14.4b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
▶	30.5b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
▶	46.8b	(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)

Compiler

Compiled 1646 to 986 computations (40.1% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 54 to 12 computations (77.8% saved)

series46.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
8.0ms	a	@	0	(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
7.0ms	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))))
6.0ms	a	@	-inf	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
4.0ms	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))))
3.0ms	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))))

rewrite201.0ms (1.2%)

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))))))) 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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 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simplify255.0ms (1.5%)

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series115.0ms (0.7%)

Counts

3 → 44

Calls

18 calls:

Time	Variable		Point	Expression
96.0ms	a	@	0	(/.f64 r (cos.f64 a))
2.0ms	a	@	0	(*.f64 (/.f64 r (cos.f64 a)) b)
1.0ms	r	@	0	(*.f64 (/.f64 r (cos.f64 a)) b)
1.0ms	b	@	0	(*.f64 (/.f64 r (cos.f64 a)) b)
1.0ms	a	@	inf	(*.f64 (/.f64 r (cos.f64 a)) b)

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

777×	`pow1_binary64`
715×	`add-log-exp_binary64`
715×	`log1p-expm1-u_binary64`
715×	`expm1-log1p-u_binary64`
698×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	144	18
2	1899	18

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

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

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

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

648×	`distribute-rgt-in_binary64`
626×	`fma-def_binary64`
554×	`distribute-lft-neg-in_binary64`
551×	`distribute-rgt-neg-in_binary64`
464×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	564
1	239	520
2	920	496
3	4421	485

Stop Event

1×	node limit

Counts

114 → 93

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

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

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
✓	0.2b	(/.f64 1 (cos.f64 (+.f64 b a)))
✓	0.2b	(*.f64 r (/.f64 1 (cos.f64 (+.f64 b a))))
	3.7b	(cos.f64 (+.f64 b a))

Compiler

Compiled 41 to 16 computations (61% saved)

series25.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Expression
2.0ms	a	@	(*.f64 r (/.f64 1 (cos.f64 (+.f64 b a))))
2.0ms	a	@	(/.f64 1 (cos.f64 (+.f64 b a)))
2.0ms	b	@	(/.f64 1 (cos.f64 (+.f64 b a)))
2.0ms	b	@	(*.f64 r (/.f64 1 (cos.f64 (+.f64 b a))))
1.0ms	r	@	(*.f64 r (/.f64 1 (cos.f64 (+.f64 b a))))

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	236	32
2	3167	32

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

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

Outputs

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

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

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

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	2194
1	612	2108
2	2174	2029

Stop Event

1×	node limit

Counts

181 → 139

Calls

Call 1

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

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

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))
✓	0.3b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
✓	0.4b	(pow.f64 (cos.f64 (+.f64 b a)) 2)
	3.7b	(cos.f64 (+.f64 b a))

Compiler

Compiled 45 to 17 computations (62.2% saved)

series24.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
16.0ms	a	@	-inf	(sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))
1.0ms	b	@	0	(pow.f64 (cos.f64 (+.f64 b a)) 2)
1.0ms	a	@	0	(pow.f64 (cos.f64 (+.f64 b a)) 2)
1.0ms	b	@	inf	(pow.f64 (cos.f64 (+.f64 b a)) 2)
1.0ms	b	@	-inf	(pow.f64 (cos.f64 (+.f64 b a)) 2)

rewrite102.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`log-prod_binary64`
601×	`prod-diff_binary64`
326×	`pow2_binary64`
228×	`pow1/3_binary64`
228×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	265	29
2	3374	29

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

Inputs
(pow.f64 (cos.f64 (+.f64 b a)) 2)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cos.f64 (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.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 (pow.f64 (cos.f64 (+.f64 b a)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (*.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 4)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (*.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 3) (sqrt.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 b a)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (*.f64 2 (+.f64 b a))) (cos.f64 (-.f64 (+.f64 b a) (+.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 (+.f64 b a)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 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 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 2) (cbrt.f64 (/.f64 r (/.f64 (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 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (sqrt.f64 (/.f64 r (/.f64 (cos.f64 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4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) 1/2))))) (#(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 (pow.f64 (cos.f64 (+.f64 b a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cos.f64 (+.f64 b a)))))) (#(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 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 (*.f64 2 (log.f64 (cos.f64 (+.f64 b a)))) 1/2))))) (#(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 (cos.f64 (+.f64 b a)) 1 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 (+.f64 b a)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (cbrt.f64 (cos.f64 (+.f64 b a))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sqrt.f64 (cos.f64 (+.f64 b a))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (cos.f64 (+.f64 b a)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) 1/2) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))))

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

934×	`fma-neg_binary64`
376×	`times-frac_binary64`
364×	`*-commutative_binary64`
329×	`associate-/l*_binary64`
293×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1595
1	529	1536
2	1893	1506
3	7096	1506

Stop Event

1×	node limit

Counts

230 → 200

Calls

Call 1

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

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

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 r (sin.f64 b)) 3)
✓	0.5b	(pow.f64 (cos.f64 (+.f64 b a)) 3)
	3.7b	(cos.f64 (+.f64 b a))
✓	37.2b	(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)

Compiler

Compiled 61 to 25 computations (59% saved)

series56.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
14.0ms	b	@	0	(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)
9.0ms	a	@	0	(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)
4.0ms	r	@	0	(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)
4.0ms	r	@	-inf	(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)
4.0ms	b	@	inf	(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`log-prod_binary64`
615×	`prod-diff_binary64`
262×	`expm1-udef_binary64`
262×	`log1p-udef_binary64`
234×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	321	32
2	4010	32

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

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

Outputs

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

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

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

simplify135.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

419×	`associate-r_binary64`
345×	`associate-l_binary64`
292×	`fma-def_binary64`
277×	`unswap-sqr_binary64`
247×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	3950
1	1108	3852
2	5092	3436

Stop Event

1×	node limit

Counts

163 → 127

Calls

Call 1

Inputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 b r) (cos.f64 a))
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(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 3)
(pow.f64 (cos.f64 b) 3)
(+.f64 (pow.f64 (cos.f64 b) 3) (.f64 a (+.f64 (.f64 -2 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))))
(+.f64 (pow.f64 (cos.f64 b) 3) (+.f64 (.f64 (+.f64 (.f64 (cos.f64 b) (+.f64 (.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 b) 2) (cos.f64 b))) (.f64 -1/2 (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2)) (.f64 a (+.f64 (.f64 -2 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))))))
(+.f64 (pow.f64 (cos.f64 b) 3) (+.f64 (.f64 (+.f64 (.f64 (cos.f64 b) (+.f64 (.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 b) 2) (cos.f64 b))) (.f64 -1/2 (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2)) (+.f64 (.f64 a (+.f64 (.f64 -2 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (.f64 -1 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))) (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)))) (+.f64 (.f64 (cos.f64 b) (+.f64 (.f64 (sin.f64 b) (cos.f64 b)) (.f64 1/3 (.f64 (sin.f64 b) (cos.f64 b))))) (+.f64 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))))) (pow.f64 a 3)))))
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 3)
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 b 3))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 r 3)) (.f64 -1/3 (pow.f64 r 3))) (pow.f64 b 5)) (.f64 (pow.f64 r 3) (pow.f64 b 3)))
(+.f64 (.f64 (pow.f64 b 7) (+.f64 (.f64 1/120 (pow.f64 r 3)) (+.f64 (.f64 1/18 (pow.f64 r 3)) (.f64 r (+.f64 (.f64 1/36 (pow.f64 r 2)) (.f64 1/60 (pow.f64 r 2))))))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 r 3)) (.f64 -1/3 (pow.f64 r 3))) (pow.f64 b 5)) (.f64 (pow.f64 r 3) (pow.f64 b 3))))
(+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 r 3)) (+.f64 (.f64 -1/6 (.f64 r (+.f64 (.f64 1/36 (pow.f64 r 2)) (.f64 1/60 (pow.f64 r 2))))) (+.f64 (.f64 -1/5040 (pow.f64 r 3)) (.f64 r (+.f64 (.f64 -1/360 (pow.f64 r 2)) (.f64 -1/2520 (pow.f64 r 2))))))) (pow.f64 b 9)) (+.f64 (.f64 (pow.f64 b 7) (+.f64 (.f64 1/120 (pow.f64 r 3)) (+.f64 (.f64 1/18 (pow.f64 r 3)) (.f64 r (+.f64 (.f64 1/36 (pow.f64 r 2)) (.f64 1/60 (pow.f64 r 2))))))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 r 3)) (.f64 -1/3 (pow.f64 r 3))) (pow.f64 b 5)) (.f64 (pow.f64 r 3) (pow.f64 b 3)))))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))

Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(.f64 -1 (/.f64 (.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (cbrt.f64 -1)))))
(/.f64 (.f64 (neg.f64 (sin.f64 b)) (.f64 r (cbrt.f64 -1))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (neg.f64 (.f64 r (cbrt.f64 -1))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (cbrt.f64 -1)))))
(/.f64 (.f64 (neg.f64 (sin.f64 b)) (.f64 r (cbrt.f64 -1))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (neg.f64 (.f64 r (cbrt.f64 -1))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (cbrt.f64 -1)))))
(/.f64 (.f64 (neg.f64 (sin.f64 b)) (.f64 r (cbrt.f64 -1))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (neg.f64 (.f64 r (cbrt.f64 -1))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) (*.f64 (cbrt.f64 -1) r)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (cbrt.f64 -1)))))
(/.f64 (.f64 (neg.f64 (sin.f64 b)) (.f64 r (cbrt.f64 -1))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (neg.f64 (.f64 r (cbrt.f64 -1))))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 r 7)) (pow.f64 (cos.f64 a) 16)) 1/3) (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 2)))))
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 (pow.f64 r 7) (pow.f64 (cos.f64 a) 16))) (.f64 (.f64 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -3) (.f64 b b)))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 (pow.f64 r 7) (pow.f64 (cos.f64 a) 16))) (.f64 b (.f64 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 -3 b)))) (.f64 (/.f64 r (cos.f64 a)) b))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 r 7)) (pow.f64 (cos.f64 a) 16)) 1/3) (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -2 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 2)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (cos.f64 a) 2) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -2 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) 2) (pow.f64 r 3)) (pow.f64 (cos.f64 a) 9))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 r 17)) (pow.f64 (cos.f64 a) 35)) 1/3) (pow.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -2 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) 2))) (/.f64 (.f64 (+.f64 (.f64 (cos.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (.f64 -1 (pow.f64 (cos.f64 a) 2)))) (+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a))) (.f64 -1/2 (pow.f64 (cos.f64 a) 3)))) (pow.f64 r 3)) (pow.f64 (cos.f64 a) 6))))))) (pow.f64 r 2)))))
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 (pow.f64 r 7) (pow.f64 (cos.f64 a) 16))) (.f64 (.f64 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -3) (.f64 b b))) (.f64 1/3 (/.f64 (.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 3)) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3))) (fma.f64 -1 (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -3) 2) (/.f64 (pow.f64 (cos.f64 a) 9) (pow.f64 r 3))) (fma.f64 1/3 (.f64 (pow.f64 (.f64 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -3) 2) (cbrt.f64 (/.f64 (pow.f64 r 17) (pow.f64 (cos.f64 a) 35)))) (/.f64 (fma.f64 (cos.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (fma.f64 2 (.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (.f64 -1/2 (pow.f64 (cos.f64 a) 3)))) (/.f64 (pow.f64 (cos.f64 a) 6) (pow.f64 r 3))))))) (*.f64 r r)))))
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(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(pow.f64 (cos.f64 a) 3)
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -2 (*.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) b) (pow.f64 (cos.f64 a) 3))
(fma.f64 (.f64 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -3) b (pow.f64 (cos.f64 a) 3))
(fma.f64 b (.f64 (sin.f64 a) (.f64 (pow.f64 (cos.f64 a) 2) -3)) (pow.f64 (cos.f64 a) 3))
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -2 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) b) (+.f64 (.f64 (+.f64 (.f64 (cos.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (.f64 -1 (pow.f64 (cos.f64 a) 2)))) (+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a))) (*.f64 -1/2 (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 3)))
(fma.f64 (.f64 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -3) b (fma.f64 (fma.f64 (cos.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (fma.f64 2 (.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (.f64 -1/2 (pow.f64 (cos.f64 a) 3)))) (*.f64 b b) (pow.f64 (cos.f64 a) 3)))
(fma.f64 b (.f64 (sin.f64 a) (.f64 (pow.f64 (cos.f64 a) 2) -3)) (fma.f64 (.f64 b b) (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 a) 3)) (.f64 (cos.f64 a) (+.f64 (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (.f64 2 (pow.f64 (sin.f64 a) 2))))) (pow.f64 (cos.f64 a) 3)))
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -2 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) b) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (.f64 -1 (pow.f64 (cos.f64 a) 2))))) (+.f64 (.f64 (cos.f64 a) (+.f64 (.f64 (sin.f64 a) (cos.f64 a)) (.f64 1/3 (.f64 (sin.f64 a) (cos.f64 a))))) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 3)) (+.f64 (.f64 (+.f64 (.f64 (cos.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (.f64 -1 (pow.f64 (cos.f64 a) 2)))) (+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 a) 2) (cos.f64 a))) (.f64 -1/2 (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 3))))
(fma.f64 (.f64 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -3) b (fma.f64 (fma.f64 -1 (.f64 (sin.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2)))) (fma.f64 (cos.f64 a) (.f64 4/3 (.f64 (cos.f64 a) (sin.f64 a))) (.f64 7/6 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 3) (fma.f64 (fma.f64 (cos.f64 a) (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (fma.f64 2 (.f64 (cos.f64 a) (pow.f64 (sin.f64 a) 2)) (.f64 -1/2 (pow.f64 (cos.f64 a) 3)))) (.f64 b b) (pow.f64 (cos.f64 a) 3))))
(fma.f64 b (.f64 (sin.f64 a) (.f64 (pow.f64 (cos.f64 a) 2) -3)) (fma.f64 (pow.f64 b 3) (-.f64 (fma.f64 7/6 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 4/3 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (.f64 (sin.f64 a) (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)))) (fma.f64 (.f64 b b) (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 a) 3)) (.f64 (cos.f64 a) (+.f64 (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (.f64 2 (pow.f64 (sin.f64 a) 2))))) (pow.f64 (cos.f64 a) 3))))
(fma.f64 b (.f64 (sin.f64 a) (.f64 (pow.f64 (cos.f64 a) 2) -3)) (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) 5/2) (.f64 (sin.f64 a) (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)))) (fma.f64 (.f64 b b) (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 a) 3)) (.f64 (cos.f64 a) (+.f64 (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (*.f64 2 (pow.f64 (sin.f64 a) 2))))) (pow.f64 (cos.f64 a) 3))))
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 b a)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 b a)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 b a)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 b a)) 3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 3)
(pow.f64 (cos.f64 (+.f64 b a)) 3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 3)
(pow.f64 (cos.f64 (+.f64 b a)) 3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 3)
(pow.f64 (cos.f64 (+.f64 b a)) 3)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 3)
(pow.f64 (cos.f64 (+.f64 b a)) 3)
(pow.f64 (cos.f64 b) 3)
(+.f64 (pow.f64 (cos.f64 b) 3) (.f64 a (+.f64 (.f64 -2 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))))
(+.f64 (.f64 a (.f64 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) -3)) (pow.f64 (cos.f64 b) 3))
(fma.f64 a (.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 b) 2) -3)) (pow.f64 (cos.f64 b) 3))
(+.f64 (pow.f64 (cos.f64 b) 3) (+.f64 (.f64 (+.f64 (.f64 (cos.f64 b) (+.f64 (.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 b) 2) (cos.f64 b))) (.f64 -1/2 (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2)) (.f64 a (+.f64 (.f64 -2 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (.f64 -1 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))))))
(+.f64 (pow.f64 (cos.f64 b) 3) (fma.f64 (fma.f64 (cos.f64 b) (fma.f64 -1 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2)) (fma.f64 2 (.f64 (cos.f64 b) (pow.f64 (sin.f64 b) 2)) (.f64 -1/2 (pow.f64 (cos.f64 b) 3)))) (.f64 a a) (.f64 a (.f64 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) -3))))
(+.f64 (pow.f64 (cos.f64 b) 3) (fma.f64 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 b) 3)) (.f64 (cos.f64 b) (+.f64 (-.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 2 (pow.f64 (sin.f64 b) 2))))) (.f64 a a) (.f64 a (.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 b) 2) -3)))))
(+.f64 (pow.f64 (cos.f64 b) 3) (.f64 a (+.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 b) 2) -3)) (.f64 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 b) 3)) (+.f64 (neg.f64 (pow.f64 (cos.f64 b) 3)) (.f64 3 (*.f64 (cos.f64 b) (pow.f64 (sin.f64 b) 2))))) a))))
(+.f64 (pow.f64 (cos.f64 b) 3) (+.f64 (.f64 (+.f64 (.f64 (cos.f64 b) (+.f64 (.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 b) 2) (cos.f64 b))) (.f64 -1/2 (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2)) (+.f64 (.f64 a (+.f64 (.f64 -2 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (.f64 -1 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))) (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)))) (+.f64 (.f64 (cos.f64 b) (+.f64 (.f64 (sin.f64 b) (cos.f64 b)) (.f64 1/3 (.f64 (sin.f64 b) (cos.f64 b))))) (+.f64 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))))) (pow.f64 a 3)))))
(+.f64 (pow.f64 (cos.f64 b) 3) (fma.f64 (fma.f64 (cos.f64 b) (fma.f64 -1 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2)) (fma.f64 2 (.f64 (cos.f64 b) (pow.f64 (sin.f64 b) 2)) (.f64 -1/2 (pow.f64 (cos.f64 b) 3)))) (.f64 a a) (fma.f64 a (.f64 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) -3) (.f64 (pow.f64 a 3) (fma.f64 -1 (.f64 (sin.f64 b) (fma.f64 -1 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))) (fma.f64 (cos.f64 b) (.f64 4/3 (.f64 (sin.f64 b) (cos.f64 b))) (.f64 7/6 (*.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))))))))
(+.f64 (pow.f64 (cos.f64 b) 3) (fma.f64 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 b) 3)) (.f64 (cos.f64 b) (+.f64 (-.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 2 (pow.f64 (sin.f64 b) 2))))) (.f64 a a) (fma.f64 (pow.f64 a 3) (-.f64 (fma.f64 7/6 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (.f64 4/3 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))) (.f64 (sin.f64 b) (-.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)))) (.f64 a (.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 b) 2) -3))))))
(+.f64 (pow.f64 (cos.f64 b) 3) (fma.f64 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 b) 3)) (+.f64 (neg.f64 (pow.f64 (cos.f64 b) 3)) (.f64 3 (.f64 (cos.f64 b) (pow.f64 (sin.f64 b) 2))))) (.f64 a a) (fma.f64 (pow.f64 a 3) (+.f64 (-.f64 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 3)) (.f64 (.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) 5/2)) (.f64 (.f64 (pow.f64 (cos.f64 b) 2) a) (.f64 (sin.f64 b) -3)))))
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 b a)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 b a)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 b a)) 3)
(pow.f64 (cos.f64 (+.f64 a b)) 3)
(pow.f64 (cos.f64 (+.f64 b a)) 3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 3)
(pow.f64 (cos.f64 (+.f64 b a)) 3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 3)
(pow.f64 (cos.f64 (+.f64 b a)) 3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 3)
(pow.f64 (cos.f64 (+.f64 b a)) 3)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 3)
(pow.f64 (cos.f64 (+.f64 b a)) 3)
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 r 3) (pow.f64 b 3))
(*.f64 (pow.f64 b 3) (pow.f64 r 3))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 r 3)) (.f64 -1/3 (pow.f64 r 3))) (pow.f64 b 5)) (.f64 (pow.f64 r 3) (pow.f64 b 3)))
(fma.f64 (.f64 (pow.f64 r 3) -1/2) (pow.f64 b 5) (.f64 (pow.f64 b 3) (pow.f64 r 3)))
(fma.f64 (pow.f64 b 3) (pow.f64 r 3) (.f64 (pow.f64 r 3) (.f64 -1/2 (pow.f64 b 5))))
(.f64 (pow.f64 r 3) (+.f64 (pow.f64 b 3) (.f64 -1/2 (pow.f64 b 5))))
(+.f64 (.f64 (pow.f64 b 7) (+.f64 (.f64 1/120 (pow.f64 r 3)) (+.f64 (.f64 1/18 (pow.f64 r 3)) (.f64 r (+.f64 (.f64 1/36 (pow.f64 r 2)) (.f64 1/60 (pow.f64 r 2))))))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 r 3)) (.f64 -1/3 (pow.f64 r 3))) (pow.f64 b 5)) (.f64 (pow.f64 r 3) (pow.f64 b 3))))
(fma.f64 (pow.f64 b 7) (fma.f64 1/120 (pow.f64 r 3) (fma.f64 1/18 (pow.f64 r 3) (.f64 r (.f64 (.f64 r r) 2/45)))) (fma.f64 (.f64 (pow.f64 r 3) -1/2) (pow.f64 b 5) (*.f64 (pow.f64 b 3) (pow.f64 r 3))))
(fma.f64 (pow.f64 b 7) (+.f64 (.f64 (pow.f64 r 3) 2/45) (.f64 (pow.f64 r 3) 23/360)) (fma.f64 (pow.f64 b 3) (pow.f64 r 3) (.f64 (pow.f64 r 3) (.f64 -1/2 (pow.f64 b 5)))))
(fma.f64 (pow.f64 b 7) (.f64 (pow.f64 r 3) 13/120) (.f64 (pow.f64 r 3) (+.f64 (pow.f64 b 3) (*.f64 -1/2 (pow.f64 b 5)))))
(+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 r 3)) (+.f64 (.f64 -1/6 (.f64 r (+.f64 (.f64 1/36 (pow.f64 r 2)) (.f64 1/60 (pow.f64 r 2))))) (+.f64 (.f64 -1/5040 (pow.f64 r 3)) (.f64 r (+.f64 (.f64 -1/360 (pow.f64 r 2)) (.f64 -1/2520 (pow.f64 r 2))))))) (pow.f64 b 9)) (+.f64 (.f64 (pow.f64 b 7) (+.f64 (.f64 1/120 (pow.f64 r 3)) (+.f64 (.f64 1/18 (pow.f64 r 3)) (.f64 r (+.f64 (.f64 1/36 (pow.f64 r 2)) (.f64 1/60 (pow.f64 r 2))))))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 r 3)) (.f64 -1/3 (pow.f64 r 3))) (pow.f64 b 5)) (.f64 (pow.f64 r 3) (pow.f64 b 3)))))
(fma.f64 (fma.f64 -1/360 (pow.f64 r 3) (fma.f64 -1/6 (.f64 r (.f64 (.f64 r r) 2/45)) (fma.f64 -1/5040 (pow.f64 r 3) (.f64 r (.f64 (.f64 r r) -1/315))))) (pow.f64 b 9) (fma.f64 (pow.f64 b 7) (fma.f64 1/120 (pow.f64 r 3) (fma.f64 1/18 (pow.f64 r 3) (.f64 r (.f64 (.f64 r r) 2/45)))) (fma.f64 (.f64 (pow.f64 r 3) -1/2) (pow.f64 b 5) (*.f64 (pow.f64 b 3) (pow.f64 r 3)))))
(fma.f64 (fma.f64 (pow.f64 r 3) -1/360 (fma.f64 -1/6 (.f64 (pow.f64 r 3) 2/45) (fma.f64 (pow.f64 r 3) -1/5040 (.f64 (pow.f64 r 3) -1/315)))) (pow.f64 b 9) (fma.f64 (pow.f64 b 7) (+.f64 (.f64 (pow.f64 r 3) 2/45) (.f64 (pow.f64 r 3) 23/360)) (fma.f64 (pow.f64 b 3) (pow.f64 r 3) (.f64 (pow.f64 r 3) (.f64 -1/2 (pow.f64 b 5))))))
(fma.f64 (fma.f64 (pow.f64 r 3) -1/360 (fma.f64 -1/6 (.f64 (pow.f64 r 3) 2/45) (.f64 (pow.f64 r 3) -17/5040))) (pow.f64 b 9) (fma.f64 (pow.f64 b 7) (.f64 (pow.f64 r 3) 13/120) (.f64 (pow.f64 r 3) (+.f64 (pow.f64 b 3) (*.f64 -1/2 (pow.f64 b 5))))))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))
(*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))
(*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))

eval646.0ms (3.9%)

Compiler: Compiled 32012 to 11637 computations (63.6% saved)

prune1.2s (7.5%)

Pruning

68 alts after pruning (67 fresh and 1 done)

	Pruned	Kept	Total
New	1060	58	1118
Fresh	27	9	36
Picked	1	0	1
Done	4	1	5
Total	1092	68	1160

Error

0.0b

Counts

1160 → 68

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(/.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))))
	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	1.2b	(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	0.6b	(/.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)))))))
	14.6b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
	0.4b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))))
	25.0b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
▶	32.6b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 a))))
	32.6b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
	46.4b	(.f64 (/.f64 r (fma.f64 (.f64 a a) -1/2 1)) b)
▶	35.0b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
	35.8b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2)
	14.9b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
	53.8b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
	25.6b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b))))
	34.0b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
	54.0b	(*.f64 (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 a))) 2) b)
	27.8b	(/.f64 (pow.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 2) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)))))
	15.0b	(.f64 (sin.f64 b) (.f64 r (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))
	46.8b	(pow.f64 (pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) 3) 1/3)
	14.3b	(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))))
	36.7b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
✓	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))))
	48.3b	(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 b) 3)) 1/3)
	21.1b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (neg.f64 a))))
	35.9b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
	35.8b	(/.f64 (*.f64 r b) (cos.f64 a))
▶	46.1b	(*.f64 r b)
	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)) (fma.f64 (cos.f64 b) (cos.f64 a) (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 (sin.f64 b) (sin.f64 a))))))))
	35.7b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
	37.3b	(exp.f64 (log.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
	14.6b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b a)))
	14.9b	(*.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 r) 2) (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 r))))
	14.2b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
	35.8b	(/.f64 b (/.f64 (cos.f64 a) r))
	32.6b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	14.2b	(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r)))
	14.2b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	35.8b	(/.f64 r (/.f64 (cos.f64 a) b))
	0.5b	(/.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)))))))
	14.2b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
	0.7b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (.f64 (cbrt.f64 (cos.f64 b)) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))))
	34.1b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
▶	0.3b	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
	47.1b	(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))))
	30.5b	(.f64 (sin.f64 b) (.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2))))
▶	30.6b	(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
	39.4b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 a) 2)))
	25.1b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
	14.7b	(.f64 (sin.f64 b) (.f64 r (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (+.f64 b a)))) 3)))
	53.8b	(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
	25.1b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	25.9b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))))
	39.9b	(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
	14.8b	(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 3))
	25.0b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	47.3b	(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 b a))))))
	14.2b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	31.4b	(/.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))))))
	25.9b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 (sin.f64 b) a)))
	35.8b	(*.f64 (/.f64 b (cos.f64 a)) r)
	25.9b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
	30.5b	(/.f64 (*.f64 r (sin.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a))))
	25.0b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	14.2b	(+.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))

Compiler

Compiled 2277 to 1494 computations (34.4% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 64 to 12 computations (81.3% saved)

series19.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

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

rewrite138.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	297	37
2	4387	37

Stop Event

1×	node limit

Counts

4 → 267

Calls

Call 1

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

Outputs
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(cbrt.f64 (cos.f64 a)) 2)) (cbrt.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) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.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) (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))))))))))

simplify111.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

495×	`times-frac_binary64`
432×	`associate-/l*_binary64`
381×	`associate-*l/_binary64`
347×	`associate-*r/_binary64`
302×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	3080
1	605	3010
2	2149	2922

Stop Event

1×	node limit

Counts

387 → 331

Calls

Call 1

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

localize6.0ms (0%)

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

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 30 to 15 computations (50% saved)

series17.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

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

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

943×	`pow1_binary64`
864×	`add-log-exp_binary64`
864×	`log1p-expm1-u_binary64`
864×	`expm1-log1p-u_binary64`
844×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	199	23
2	2410	23

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

614×	`fma-def_binary64`
588×	`distribute-rgt-in_binary64`
486×	`distribute-rgt-neg-in_binary64`
465×	`distribute-lft-neg-in_binary64`
451×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	839
1	300	816
2	1037	776
3	4588	723

Stop Event

1×	node limit

Counts

124 → 91

Calls

Call 1

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

Outputs
(/.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 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (*.f64 -1/6 (/.f64 r (/.f64 (cos.f64 a) (pow.f64 b 3)))))
(fma.f64 -1/6 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 3)) (.f64 (/.f64 r (cos.f64 a)) b))
(fma.f64 -1/6 (.f64 (pow.f64 b 3) (/.f64 r (cos.f64 a))) (.f64 b (/.f64 r (cos.f64 a))))
(.f64 (/.f64 r (cos.f64 a)) (+.f64 b (.f64 -1/6 (pow.f64 b 3))))
(+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a)))))
(fma.f64 1/120 (/.f64 r (/.f64 (cos.f64 a) (pow.f64 b 5))) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (*.f64 -1/6 (/.f64 r (/.f64 (cos.f64 a) (pow.f64 b 3))))))
(fma.f64 1/120 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 5)) (fma.f64 -1/6 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 3)) (*.f64 (/.f64 r (cos.f64 a)) b)))
(fma.f64 1/120 (.f64 (pow.f64 b 5) (/.f64 r (cos.f64 a))) (fma.f64 -1/6 (.f64 (pow.f64 b 3) (/.f64 r (cos.f64 a))) (*.f64 b (/.f64 r (cos.f64 a)))))
(fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (/.f64 r (cos.f64 a)) (+.f64 (.f64 -1/6 (pow.f64 b 3)) (*.f64 1/120 (pow.f64 b 5)))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 r (pow.f64 b 7)) (cos.f64 a))) (+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))))
(fma.f64 -1/5040 (/.f64 r (/.f64 (cos.f64 a) (pow.f64 b 7))) (fma.f64 1/120 (/.f64 r (/.f64 (cos.f64 a) (pow.f64 b 5))) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (*.f64 -1/6 (/.f64 r (/.f64 (cos.f64 a) (pow.f64 b 3)))))))
(fma.f64 -1/5040 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 7)) (fma.f64 1/120 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 5)) (fma.f64 -1/6 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 3)) (.f64 (/.f64 r (cos.f64 a)) b))))
(fma.f64 -1/5040 (.f64 (pow.f64 b 7) (/.f64 r (cos.f64 a))) (fma.f64 1/120 (.f64 (pow.f64 b 5) (/.f64 r (cos.f64 a))) (fma.f64 -1/6 (.f64 (pow.f64 b 3) (/.f64 r (cos.f64 a))) (.f64 b (/.f64 r (cos.f64 a))))))
(+.f64 (.f64 (/.f64 r (cos.f64 a)) (+.f64 b (.f64 -1/6 (pow.f64 b 3)))) (.f64 (/.f64 r (cos.f64 a)) (+.f64 (.f64 1/120 (pow.f64 b 5)) (*.f64 -1/5040 (pow.f64 b 7)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (.f64 (sin.f64 b) r))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 r (.f64 a a))) (.f64 r (sin.f64 b)))
(fma.f64 r (sin.f64 b) (.f64 (.f64 (sin.f64 b) (.f64 a a)) (.f64 r 1/2)))
(.f64 (sin.f64 b) (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (fma.f64 a (.f64 a 1/2) 1) (*.f64 r (sin.f64 b)))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (.f64 (sin.f64 b) r)))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 r (.f64 a a))) (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 (.f64 r (sin.f64 b)) -5/24)) (*.f64 r (sin.f64 b))))
(fma.f64 1/2 (.f64 r (.f64 (sin.f64 b) (.f64 a a))) (-.f64 (.f64 r (sin.f64 b)) (.f64 (.f64 r (sin.f64 b)) (*.f64 -5/24 (pow.f64 a 4)))))
(fma.f64 (pow.f64 a 4) (.f64 (sin.f64 b) (.f64 r 5/24)) (.f64 (sin.f64 b) (.f64 r (fma.f64 1/2 (*.f64 a a) 1))))
(.f64 (sin.f64 b) (.f64 r (fma.f64 a (*.f64 a 1/2) (fma.f64 (pow.f64 a 4) 5/24 1))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))) (.f64 1/48 (.f64 (sin.f64 b) r)))) (pow.f64 a 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (*.f64 (sin.f64 b) r))))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 r (.f64 a a))) (fma.f64 -1 (.f64 (fma.f64 -1/720 (.f64 r (sin.f64 b)) (fma.f64 1/2 (.f64 (.f64 r (sin.f64 b)) -5/24) (.f64 (.f64 r (sin.f64 b)) 1/48))) (pow.f64 a 6)) (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 (.f64 r (sin.f64 b)) -5/24)) (*.f64 r (sin.f64 b)))))
(fma.f64 1/2 (.f64 r (.f64 (sin.f64 b) (.f64 a a))) (-.f64 (-.f64 (.f64 r (sin.f64 b)) (.f64 (.f64 r (sin.f64 b)) (.f64 -5/24 (pow.f64 a 4)))) (.f64 (fma.f64 (.f64 r (sin.f64 b)) -1/720 (fma.f64 (.f64 r (sin.f64 b)) 1/48 (.f64 (.f64 r (sin.f64 b)) -5/48))) (pow.f64 a 6))))
(-.f64 (fma.f64 (pow.f64 a 4) (.f64 (sin.f64 b) (.f64 r 5/24)) (.f64 (sin.f64 b) (.f64 r (fma.f64 1/2 (.f64 a a) 1)))) (.f64 (fma.f64 r (.f64 (sin.f64 b) 1/48) (.f64 (*.f64 r (sin.f64 b)) -19/180)) (pow.f64 a 6)))
(-.f64 (.f64 (sin.f64 b) (.f64 r (fma.f64 a (.f64 a 1/2) (fma.f64 (pow.f64 a 4) 5/24 1)))) (.f64 (.f64 (sin.f64 b) (.f64 r -61/720)) (pow.f64 a 6)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
r
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) r)
(fma.f64 1/2 (.f64 r (.f64 a a)) r)
(.f64 (fma.f64 1/2 (.f64 a a) 1) r)
(.f64 r (fma.f64 1/2 (.f64 a a) 1))
(.f64 r (fma.f64 a (.f64 a 1/2) 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 (pow.f64 a 4) (.f64 r -5/24))))
(fma.f64 r (.f64 1/2 (.f64 a a)) (fma.f64 (pow.f64 a 4) (*.f64 r 5/24) r))
(.f64 r (fma.f64 a (.f64 a 1/2) (fma.f64 (pow.f64 a 4) 5/24 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)))) (+.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 (pow.f64 a 4) (.f64 r -5/24))) (.f64 (pow.f64 a 6) (+.f64 (.f64 r -5/48) (*.f64 r 7/360)))))
(-.f64 (fma.f64 r (.f64 1/2 (.f64 a a)) (fma.f64 (pow.f64 a 4) (.f64 r 5/24) r)) (.f64 (pow.f64 a 6) (*.f64 r -61/720)))
(+.f64 (fma.f64 (pow.f64 a 6) (.f64 r 61/720) r) (.f64 r (fma.f64 a (.f64 a 1/2) (.f64 (pow.f64 a 4) 5/24))))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
(/.f64 r (cos.f64 a))
1
(+.f64 (*.f64 1/2 (pow.f64 a 2)) 1)
(fma.f64 1/2 (*.f64 a a) 1)
(fma.f64 a (*.f64 a 1/2) 1)
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (.f64 5/24 (pow.f64 a 4))))
(+.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 (pow.f64 a 4) 5/24))
(fma.f64 1/2 (*.f64 a a) (fma.f64 (pow.f64 a 4) 5/24 1))
(fma.f64 a (*.f64 a 1/2) (fma.f64 (pow.f64 a 4) 5/24 1))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 (.f64 5/24 (pow.f64 a 4)) (*.f64 61/720 (pow.f64 a 6)))))
(+.f64 (fma.f64 1/2 (.f64 a a) 1) (fma.f64 5/24 (pow.f64 a 4) (.f64 (pow.f64 a 6) 61/720)))
(+.f64 (fma.f64 1/2 (.f64 a a) 1) (fma.f64 (pow.f64 a 4) 5/24 (.f64 (pow.f64 a 6) 61/720)))
(fma.f64 a (*.f64 a 1/2) (fma.f64 (pow.f64 a 4) 5/24 (fma.f64 (pow.f64 a 6) 61/720 1)))

localize97.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (+.f64 b a))))))
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
✓	0.6b	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (+.f64 b a)))))
✓	3.8b	(cos.f64 (*.f64 2 (+.f64 b a)))

Compiler

Compiled 73 to 42 computations (42.5% saved)

series61.0ms (0.4%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
22.0ms	b	@	0	(sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (+.f64 b a))))))
10.0ms	b	@	0	(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
4.0ms	r	@	0	(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
3.0ms	a	@	0	(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
1.0ms	b	@	-inf	(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))

rewrite146.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

947×	`prod-diff_binary64`
387×	`fma-def_binary64`
302×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`
239×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	336	48
2	4694	48

Stop Event

1×	node limit

Counts

4 → 204

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 2 (+.f64 b a))) (fma.f64 (neg.f64 (sin.f64 (+.f64 b a))) (sin.f64 (+.f64 b a)) (pow.f64 (sin.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 2 (+.f64 b a))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2))) (sqrt.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2)) (pow.f64 (sin.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (neg.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) (.f64 (neg.f64 (sin.f64 (+.f64 b a))) (sin.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) 1 (neg.f64 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2)) 1 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) (neg.f64 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2)) 1 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (pow.f64 (cos.f64 (+.f64 b a)) 2) (neg.f64 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2)) 1 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) 2) (neg.f64 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2)) 1 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) (.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (neg.f64 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2)) 1 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) 2) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) (neg.f64 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2)) 1 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) 1/4) (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) 1/4) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (neg.f64 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2)) 1 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)) (neg.f64 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2)) 1 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (fma.f64 1/8 (pow.f64 (cos.f64 (.f64 2 (+.f64 b a))) 3) 1/8) (/.f64 1 (fma.f64 (.f64 (cos.f64 (.f64 2 (+.f64 b a))) 1/2) (fma.f64 (cos.f64 (.f64 2 (+.f64 b a))) 1/2 -1/2) 1/4)) (neg.f64 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2)) 1 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 2 (+.f64 b a))) 2))) (/.f64 1 (pow.f64 (sin.f64 (+.f64 b a)) 2)) (neg.f64 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2)) 1 (.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) 1/4)) (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) 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(cos.f64 (+.f64 b a)) 2))) (sin.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 r (sin.f64 b)) 3) (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (/.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (sin.f64 b))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) 1/4) (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 (.f64 2 (+.f64 b a))) 2)))) (sqrt.f64 (pow.f64 (sin.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 (cos.f64 (.f64 2 (+.f64 b a))) 3) 1/8)) (sqrt.f64 (fma.f64 (.f64 (cos.f64 (.f64 2 (+.f64 b a))) 1/2) (fma.f64 (cos.f64 (.f64 2 (+.f64 b a))) 1/2 -1/2) 1/4)))))) (#(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 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) 1))))))

simplify122.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

772×	`distribute-rgt-in_binary64`
770×	`distribute-lft-in_binary64`
353×	`times-frac_binary64`
285×	`associate-r_binary64`
279×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	4312
1	954	3914
2	3155	3801

Stop Event

1×	node limit

Counts

312 → 281

Calls

Call 1

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

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

localize65.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 a) (.f64 -1/2 b))
✓	0.1b	(.f64 b (-.f64 (.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a)))
	0.1b	(*.f64 r (sin.f64 b))
✓	4.6b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))

Compiler

Compiled 79 to 35 computations (55.7% saved)

series21.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
2.0ms	a	@	-inf	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
2.0ms	a	@	0	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
2.0ms	b	@	-inf	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
1.0ms	r	@	0	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))

rewrite205.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	328	54
2	4696	54

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

906×	`associate-/l*_binary64`
870×	`fma-def_binary64`
651×	`associate-/r*_binary64`
491×	`associate-*l/_binary64`
440×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2740
1	575	2549
2	2266	2455

Stop Event

1×	node limit

Counts

172 → 141

Calls

Call 1

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

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

eval542.0ms (3.3%)

Compiler: Compiled 25737 to 12164 computations (52.7% saved)

prune293.0ms (1.8%)

Pruning

75 alts after pruning (70 fresh and 5 done)

	Pruned	Kept	Total
New	859	34	893
Fresh	26	36	62
Picked	1	0	1
Done	0	5	5
Total	886	75	961

Error

0.0b

Counts

961 → 75

Alt Table

Click to see full alt table

Status	Error	Program
	31.2b	(.f64 (/.f64 r (fma.f64 (.f64 (neg.f64 (sin.f64 b)) (sqrt.f64 (sin.f64 a))) (sqrt.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
	0.9b	(/.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))))
	45.0b	(exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	0.6b	(/.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)))))))
✓	32.6b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 a))))
	46.4b	(.f64 (/.f64 r (fma.f64 (.f64 a a) -1/2 1)) b)
	14.9b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
	53.8b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
	14.8b	(*.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 3) (sin.f64 b))
	54.0b	(*.f64 (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 a))) 2) b)
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)))))
	0.3b	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b))
	15.0b	(.f64 (sin.f64 b) (.f64 r (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))
	32.9b	(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) 3))
✓	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))))
	48.3b	(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 b) 3)) 1/3)
	39.4b	(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (*.f64 2 a))) 1/2)))
	34.0b	(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 b))))))
	36.7b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
▶	35.2b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)))))
	35.9b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
▶	14.9b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
	32.7b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (+.f64 1 (cos.f64 a)) 1))))
▶	42.6b	(*.f64 (sin.f64 b) r)
	35.8b	(/.f64 (*.f64 r b) (cos.f64 a))
✓	46.1b	(*.f64 r b)
	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))))))))
	35.7b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
	14.9b	(*.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 r) 2) (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 r))))
	32.6b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
	14.2b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
	35.8b	(/.f64 b (/.f64 (cos.f64 a) r))
	33.1b	(.f64 (sin.f64 b) (.f64 r (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 a))))))
	14.6b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b a)))
	47.5b	(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 2))
	14.2b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	14.2b	(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r)))
	32.6b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
	0.7b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (.f64 (cbrt.f64 (cos.f64 b)) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))))
	0.5b	(/.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)))))))
	32.6b	(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
	34.1b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
✓	0.3b	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
	26.9b	(.f64 (/.f64 r (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (.f64 (pow.f64 a 3) 1/6))))) (sin.f64 b))
	47.1b	(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))))
	30.5b	(.f64 (sin.f64 b) (.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2))))
	32.9b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 3)
✓	30.6b	(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
	25.1b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
▶	0.3b	(.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
	53.3b	(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
	35.1b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (*.f64 b -1/2) (sin.f64 a)))))
	25.9b	(.f64 (/.f64 r (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))) (sin.f64 b))
	25.0b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	37.3b	(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
	25.1b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	39.9b	(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
	53.8b	(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
	25.0b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	0.3b	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) 1))) (sin.f64 b))
	25.9b	(.f64 (/.f64 r (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))) (sin.f64 b))
	32.7b	(.f64 (sin.f64 b) (.f64 r (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 a))) 3)))
	47.3b	(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 b a))))))
	47.4b	(*.f64 (sin.f64 b) (/.f64 (sqrt.f64 r) (/.f64 (cos.f64 a) (sqrt.f64 r))))
	34.0b	(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 b)))))) (.f64 (sin.f64 b) r))
	32.7b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 3))))
	24.6b	(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 (.f64 2 b)) (cos.f64 (.f64 2 a))) (.f64 (sin.f64 (.f64 2 b)) (sin.f64 (.f64 2 a))))))))
	25.0b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
▶	32.6b	(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 a) r)))
	14.2b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	35.8b	(*.f64 (/.f64 b (cos.f64 a)) r)
	25.9b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
	25.6b	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))) (sin.f64 b))

Compiler

Compiled 2423 to 1652 computations (31.8% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 62 to 12 computations (80.6% saved)

series19.0ms (0.1%)

Counts

4 → 104

Calls

30 calls:

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

rewrite137.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`log-prod_binary64`
669×	`prod-diff_binary64`
242×	`expm1-udef_binary64`
242×	`log1p-udef_binary64`
226×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	272	37
2	3661	37

Stop Event

1×	node limit

Counts

4 → 246

Calls

Call 1

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

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

simplify125.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

495×	`times-frac_binary64`
428×	`associate-/l*_binary64`
381×	`associate-*l/_binary64`
373×	`*-commutative_binary64`
347×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	3006
1	576	2856
2	2085	2781

Stop Event

1×	node limit

Counts

350 → 308

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	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	b	@	inf	(*.f64 (sin.f64 b) r)
0.0ms	r	@	-inf	(*.f64 (sin.f64 b) r)
0.0ms	b	@	-inf	(*.f64 (sin.f64 b) r)

rewrite40.0ms (0.2%)

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)))))))

simplify105.0ms (0.6%)

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))))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 30 to 12 computations (60% saved)

series8.0ms (0%)

Counts

3 → 64

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(/.f64 1 (/.f64 (cos.f64 a) r))
1.0ms	a	@	0	(/.f64 (cos.f64 a) r)
0.0ms	a	@	-inf	(/.f64 (cos.f64 a) r)
0.0ms	a	@	inf	(/.f64 (cos.f64 a) r)
0.0ms	r	@	-inf	(/.f64 (cos.f64 a) r)

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	205	23
2	2634	23

Stop Event

1×	node limit

Counts

3 → 174

Calls

Call 1

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

Outputs

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

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

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

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

587×	`distribute-rgt-in_binary64`
575×	`fma-def_binary64`
492×	`distribute-rgt-neg-in_binary64`
473×	`distribute-lft-neg-in_binary64`
446×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	871
1	305	848
2	1047	806
3	4546	760

Stop Event

1×	node limit

Counts

238 → 207

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 a)
✓	0.1b	(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
	0.1b	(*.f64 r (sin.f64 b))
✓	4.6b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)))))

Compiler

Compiled 58 to 27 computations (53.4% saved)

series13.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)))))
1.0ms	r	@	0	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)))))
1.0ms	a	@	inf	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)))))
1.0ms	a	@	-inf	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)))))
1.0ms	b	@	inf	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)))))

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`log-prod_binary64`
375×	`pow2_binary64`
321×	`fma-def_binary64`
264×	`pow1/3_binary64`
257×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	278	35
2	3883	33

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

763×	`times-frac_binary64`
697×	`associate-l_binary64`
651×	`fma-def_binary64`
504×	`associate-/l*_binary64`
438×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	1971
1	437	1844
2	1665	1592

Stop Event

1×	node limit

Counts

128 → 104

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (.f64 -1/2 (/.f64 r (cos.f64 a))))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 r (cos.f64 a))) (.f64 -1/2 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (.f64 -1/2 (/.f64 r (cos.f64 a)))))) (pow.f64 b 5)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (*.f64 -1/2 (/.f64 r (cos.f64 a)))))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 r (cos.f64 a))) (.f64 -1/2 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (.f64 -1/2 (/.f64 r (cos.f64 a)))))) (pow.f64 b 5)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (.f64 -1/2 (/.f64 r (cos.f64 a))))) (.f64 (-.f64 (.f64 -1/5040 (/.f64 r (cos.f64 a))) (.f64 -1/2 (-.f64 (.f64 1/120 (/.f64 r (cos.f64 a))) (.f64 -1/2 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (.f64 -1/2 (/.f64 r (cos.f64 a)))))))) (pow.f64 b 7)))))
(.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (.f64 -4 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 4)))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (.f64 -8 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 6)))) (+.f64 (.f64 -4 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 4)))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (.f64 -8 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 6)))) (+.f64 (.f64 -4 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 4)))) (+.f64 (.f64 -16 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 8)))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 2)))))))
(.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (.f64 -4 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 4)))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (.f64 -8 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 6)))) (+.f64 (.f64 -4 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 4)))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (.f64 -8 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 6)))) (+.f64 (.f64 -4 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 4)))) (+.f64 (.f64 -16 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 8)))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 2)))))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 1 (.f64 -1/2 (pow.f64 b 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) (.f64 r (-.f64 (.f64 1/4 (pow.f64 b 2)) 1/2)))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 2))) (/.f64 (.f64 (sin.f64 b) r) (+.f64 1 (.f64 -1/2 (pow.f64 b 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) (.f64 r (-.f64 (.f64 1/4 (pow.f64 b 2)) 1/2)))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 2))) (+.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 1 (.f64 -1/2 (pow.f64 b 2)))) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 r (+.f64 1/24 (.f64 -1/48 (pow.f64 b 2))))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 2)) (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 (-.f64 (.f64 1/4 (pow.f64 b 2)) 1/2) 2))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 b 2))) 3))))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) (.f64 r (-.f64 (.f64 1/4 (pow.f64 b 2)) 1/2)))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 2))) (+.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 1 (.f64 -1/2 (pow.f64 b 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 (-.f64 (.f64 1/1440 (pow.f64 b 2)) 1/720) r)) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (.f64 (+.f64 1/24 (.f64 -1/48 (pow.f64 b 2))) (-.f64 (.f64 1/4 (pow.f64 b 2)) 1/2)))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 3))) (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 r (+.f64 1/24 (.f64 -1/48 (pow.f64 b 2))))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 2)) (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 (-.f64 (.f64 1/4 (pow.f64 b 2)) 1/2) 2))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 3)))) (-.f64 (.f64 1/4 (pow.f64 b 2)) 1/2)) (+.f64 1 (.f64 -1/2 (pow.f64 b 2))))))) (pow.f64 a 6))) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 r (+.f64 1/24 (.f64 -1/48 (pow.f64 b 2))))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 b 2))) 2)) (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 (-.f64 (.f64 1/4 (pow.f64 b 2)) 1/2) 2))) (pow.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 b 2))) 3)))))))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(*.f64 -1/2 (pow.f64 b 2))
(+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 1/4 (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (pow.f64 b 2)) (+.f64 (.f64 -1/48 (.f64 (pow.f64 a 4) (pow.f64 b 2))) (.f64 1/4 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (pow.f64 b 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 a 4) (pow.f64 b 2))) (.f64 1/4 (*.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))

Outputs
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))) r))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) (.f64 (fma.f64 b (*.f64 b -1/2) 1) (cos.f64 a))) r)
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))) r))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) (.f64 (fma.f64 b (*.f64 b -1/2) 1) (cos.f64 a))) r)
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))) r))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) (.f64 (fma.f64 b (*.f64 b -1/2) 1) (cos.f64 a))) r)
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))) r))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) (.f64 (fma.f64 b (*.f64 b -1/2) 1) (cos.f64 a))) r)
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))) r))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) (.f64 (fma.f64 b (*.f64 b -1/2) 1) (cos.f64 a))) r)
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))) r))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) (.f64 (fma.f64 b (*.f64 b -1/2) 1) (cos.f64 a))) r)
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))) r))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) (.f64 (fma.f64 b (*.f64 b -1/2) 1) (cos.f64 a))) r)
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))) r))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) (.f64 (fma.f64 b (*.f64 b -1/2) 1) (cos.f64 a))) r)
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))) r))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) (.f64 (fma.f64 b (*.f64 b -1/2) 1) (cos.f64 a))) r)
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))) r))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) (.f64 (fma.f64 b (*.f64 b -1/2) 1) (cos.f64 a))) r)
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))) r))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) (.f64 (fma.f64 b (*.f64 b -1/2) 1) (cos.f64 a))) r)
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))) r))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) (.f64 (fma.f64 b (*.f64 b -1/2) 1) (cos.f64 a))) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (.f64 -1/2 (/.f64 r (cos.f64 a))))))
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (.f64 (pow.f64 b 3) (.f64 (/.f64 r (cos.f64 a)) 1/3)))
(fma.f64 (pow.f64 b 3) (/.f64 (.f64 r 1/3) (cos.f64 a)) (.f64 (/.f64 r (cos.f64 a)) b))
(.f64 (/.f64 r (cos.f64 a)) (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 r (cos.f64 a))) (.f64 -1/2 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (.f64 -1/2 (/.f64 r (cos.f64 a)))))) (pow.f64 b 5)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (*.f64 -1/2 (/.f64 r (cos.f64 a)))))))
(fma.f64 (+.f64 (.f64 (/.f64 r (cos.f64 a)) 1/120) (.f64 1/2 (.f64 (/.f64 r (cos.f64 a)) 1/3))) (pow.f64 b 5) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (.f64 (pow.f64 b 3) (*.f64 (/.f64 r (cos.f64 a)) 1/3))))
(fma.f64 (-.f64 (/.f64 (.f64 r 1/120) (cos.f64 a)) (.f64 -1/6 (/.f64 r (cos.f64 a)))) (pow.f64 b 5) (fma.f64 (pow.f64 b 3) (/.f64 (.f64 r 1/3) (cos.f64 a)) (.f64 (/.f64 r (cos.f64 a)) b)))
(fma.f64 (.f64 (/.f64 r (cos.f64 a)) 7/40) (pow.f64 b 5) (.f64 (/.f64 r (cos.f64 a)) (+.f64 b (*.f64 1/3 (pow.f64 b 3)))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 r (cos.f64 a))) (.f64 -1/2 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (.f64 -1/2 (/.f64 r (cos.f64 a)))))) (pow.f64 b 5)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (.f64 -1/2 (/.f64 r (cos.f64 a))))) (.f64 (-.f64 (.f64 -1/5040 (/.f64 r (cos.f64 a))) (.f64 -1/2 (-.f64 (.f64 1/120 (/.f64 r (cos.f64 a))) (.f64 -1/2 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (.f64 -1/2 (/.f64 r (cos.f64 a)))))))) (pow.f64 b 7)))))
(fma.f64 (+.f64 (.f64 (/.f64 r (cos.f64 a)) 1/120) (.f64 1/2 (.f64 (/.f64 r (cos.f64 a)) 1/3))) (pow.f64 b 5) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (fma.f64 (pow.f64 b 3) (.f64 (/.f64 r (cos.f64 a)) 1/3) (.f64 (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/5040) (.f64 1/2 (+.f64 (.f64 (/.f64 r (cos.f64 a)) 1/120) (.f64 1/2 (.f64 (/.f64 r (cos.f64 a)) 1/3))))) (pow.f64 b 7)))))
(+.f64 (fma.f64 (fma.f64 (/.f64 r (cos.f64 a)) -1/5040 (.f64 (-.f64 (/.f64 (.f64 r 1/120) (cos.f64 a)) (.f64 -1/6 (/.f64 r (cos.f64 a)))) 1/2)) (pow.f64 b 7) (.f64 (pow.f64 b 3) (/.f64 (.f64 r 1/3) (cos.f64 a)))) (fma.f64 (-.f64 (/.f64 (.f64 r 1/120) (cos.f64 a)) (.f64 -1/6 (/.f64 r (cos.f64 a)))) (pow.f64 b 5) (.f64 (/.f64 r (cos.f64 a)) b)))
(fma.f64 (.f64 (/.f64 r (cos.f64 a)) 7/40) (pow.f64 b 5) (fma.f64 (fma.f64 (.f64 (/.f64 r (cos.f64 a)) 7/40) 1/2 (.f64 (/.f64 -1/5040 (cos.f64 a)) r)) (pow.f64 b 7) (.f64 (/.f64 r (cos.f64 a)) (+.f64 b (*.f64 1/3 (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))
(.f64 -2 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 r (*.f64 b b))))
(.f64 -2 (.f64 (/.f64 r (cos.f64 a)) (/.f64 (sin.f64 b) (*.f64 b b))))
(.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (.f64 (/.f64 r (*.f64 b b)) -2))
(+.f64 (.f64 -4 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 4)))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 2)))))
(fma.f64 -4 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 r (pow.f64 b 4))) (.f64 -2 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 r (.f64 b b)))))
(fma.f64 -2 (.f64 (/.f64 r (cos.f64 a)) (/.f64 (sin.f64 b) (.f64 b b))) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (.f64 (/.f64 r (pow.f64 b 4)) -4)))
(.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) (+.f64 (/.f64 -2 (.f64 b b)) (/.f64 -4 (pow.f64 b 4))))
(+.f64 (.f64 -8 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 6)))) (+.f64 (.f64 -4 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 4)))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(fma.f64 -8 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 a) (pow.f64 b 6))) (fma.f64 -4 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 r (pow.f64 b 4))) (.f64 -2 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 r (.f64 b b))))))
(fma.f64 -8 (.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 a) (pow.f64 b 6))) r) (fma.f64 -2 (.f64 (/.f64 r (cos.f64 a)) (/.f64 (sin.f64 b) (.f64 b b))) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (.f64 (/.f64 r (pow.f64 b 4)) -4))))
(fma.f64 -2 (.f64 (/.f64 r (cos.f64 a)) (/.f64 (sin.f64 b) (.f64 b b))) (*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) (+.f64 (/.f64 -4 (pow.f64 b 4)) (/.f64 -8 (pow.f64 b 6)))))
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(.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) (.f64 (fma.f64 b (*.f64 b -1/2) 1) (cos.f64 a))) r)
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 a) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))) r))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) (.f64 (fma.f64 b (*.f64 b -1/2) 1) (cos.f64 a))) r)
(*.f64 -1/2 (pow.f64 b 2))
(.f64 -1/2 (.f64 b b))
(.f64 b (.f64 b -1/2))
(+.f64 (.f64 -1/2 (pow.f64 b 2)) (.f64 1/4 (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(fma.f64 -1/2 (.f64 b b) (.f64 1/4 (.f64 (.f64 b b) (*.f64 a a))))
(.f64 (.f64 b b) (+.f64 (.f64 (.f64 a a) 1/4) -1/2))
(.f64 b (.f64 b (fma.f64 (*.f64 a a) 1/4 -1/2)))
(+.f64 (.f64 -1/2 (pow.f64 b 2)) (+.f64 (.f64 -1/48 (.f64 (pow.f64 a 4) (pow.f64 b 2))) (.f64 1/4 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(fma.f64 -1/2 (.f64 b b) (fma.f64 -1/48 (.f64 (.f64 b b) (pow.f64 a 4)) (.f64 1/4 (.f64 (.f64 b b) (*.f64 a a)))))
(fma.f64 -1/2 (.f64 b b) (.f64 (.f64 b b) (+.f64 (.f64 (.f64 a a) 1/4) (.f64 (pow.f64 a 4) -1/48))))
(.f64 (.f64 b b) (+.f64 -1/2 (fma.f64 (.f64 a a) 1/4 (.f64 (pow.f64 a 4) -1/48))))
(+.f64 (.f64 -1/2 (pow.f64 b 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 a 4) (pow.f64 b 2))) (.f64 1/4 (*.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(fma.f64 -1/2 (.f64 b b) (fma.f64 1/1440 (.f64 (.f64 b b) (pow.f64 a 6)) (fma.f64 -1/48 (.f64 (.f64 b b) (pow.f64 a 4)) (.f64 1/4 (.f64 (.f64 b b) (*.f64 a a))))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 (.f64 a a) 1/4) (.f64 (pow.f64 a 4) -1/48))) (.f64 (.f64 b b) (+.f64 -1/2 (.f64 1/1440 (pow.f64 a 6)))))
(.f64 (.f64 b b) (+.f64 (fma.f64 1/1440 (pow.f64 a 6) (.f64 (pow.f64 a 4) -1/48)) (fma.f64 (.f64 a a) 1/4 -1/2)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))
(.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))
(.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b)))
(.f64 (cos.f64 a) (.f64 b (*.f64 b -1/2)))
(.f64 (.f64 -1/2 b) (*.f64 b (cos.f64 a)))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 r (cos.f64 (+.f64 b a)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
	3.7b	(cos.f64 (+.f64 b a))
✓	7.6b	(cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))

Compiler

Compiled 53 to 12 computations (77.4% saved)

series73.0ms (0.4%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
23.0ms	b	@	0	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
12.0ms	b	@	0	(cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))
10.0ms	a	@	0	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
4.0ms	a	@	0	(cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))
4.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
583×	`prod-diff_binary64`
329×	`pow2_binary64`
227×	`pow1/3_binary64`
225×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	268	39
2	3380	39

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

Outputs

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

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

simplify138.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

673×	`associate-*l/_binary64`
615×	`associate-*r/_binary64`
471×	`associate-+l+_binary64`
225×	`associate-/r/_binary64`
217×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	3840
1	835	3675
2	3416	3592

Stop Event

1×	node limit

Counts

192 → 157

Calls

Call 1

Inputs
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1/3)
(+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (*.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/9) a)))
(+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) 1/3) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (*.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/9) a))))
(+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) 1/3) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/9) a)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) 1/3) (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 1/27 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 13) (.f64 1 (pow.f64 r 4))) (pow.f64 (cos.f64 b) 13)) 1/9) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))))))))))))))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a)))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a)))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a)))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a)))) 1/3)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (pow.f64 1 1/3))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (pow.f64 1 1/3))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 22) (.f64 1 (pow.f64 r 13))) (pow.f64 (cos.f64 b) 22)) 1/9)) (.f64 2/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 22) (.f64 1 (pow.f64 r 13))) (pow.f64 (cos.f64 b) 22)) 1/9)))) (.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (pow.f64 1 1/3)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 1 (cos.f64 b)) (.f64 (sin.f64 b) r)) 1/3) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))))) (.f64 1/9 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 32) (.f64 1 (pow.f64 r 14))) (pow.f64 (cos.f64 b) 32)) 1/9))) (pow.f64 (/.f64 (.f64 (sin.f64 b) (.f64 1 r)) (cos.f64 b)) 1/3)) (+.f64 (.f64 2/9 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 22) (.f64 1 (pow.f64 r 13))) (pow.f64 (cos.f64 b) 22)) 1/9)) (.f64 2/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 22) (.f64 1 (pow.f64 r 13))) (pow.f64 (cos.f64 b) 22)) 1/9)))) (.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (pow.f64 1 1/3))))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) (.f64 1 r)) (cos.f64 b)) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 1 (cos.f64 b)) (.f64 (sin.f64 b) r)) 1/3) (+.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 (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 1/27 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 13) (.f64 1 (pow.f64 r 4))) (pow.f64 (cos.f64 b) 13)) 1/9) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))))))))))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 10) (.f64 1 r)) (pow.f64 (cos.f64 b) 10)) 1/9) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.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 (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 1/27 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 13) (.f64 1 (pow.f64 r 4))) (pow.f64 (cos.f64 b) 13)) 1/9) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))))))))))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 13) (.f64 1 (pow.f64 r 4))) (pow.f64 (cos.f64 b) 13)) 1/9) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))))) (.f64 1/3 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 1 (cos.f64 b)) (.f64 (sin.f64 b) r)) 1/3) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))))) (.f64 1/9 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 32) (.f64 1 (pow.f64 r 14))) (pow.f64 (cos.f64 b) 32)) 1/9))) (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/9)))))) (pow.f64 a 3)) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 1 (cos.f64 b)) (.f64 (sin.f64 b) r)) 1/3) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))))) (.f64 1/9 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 32) (.f64 1 (pow.f64 r 14))) (pow.f64 (cos.f64 b) 32)) 1/9))) (pow.f64 (/.f64 (.f64 (sin.f64 b) (.f64 1 r)) (cos.f64 b)) 1/3)) (+.f64 (.f64 2/9 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 22) (.f64 1 (pow.f64 r 13))) (pow.f64 (cos.f64 b) 22)) 1/9)) (.f64 2/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 22) (.f64 1 (pow.f64 r 13))) (pow.f64 (cos.f64 b) 22)) 1/9)))) (.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (pow.f64 1 1/3)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a)))) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a)))) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a)))) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a)))) (pow.f64 1 1/3))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 b r)) (pow.f64 (cos.f64 a) 2)) (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r b)) (pow.f64 (cos.f64 a) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 2))) (/.f64 r (cos.f64 a))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r b)) (pow.f64 (cos.f64 a) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (sin.f64 a)) (cos.f64 a)) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 2))) (/.f64 r (cos.f64 a)))))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 r (cos.f64 b))
(+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 r (cos.f64 b)))
(+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 b))) (.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2))) (/.f64 r (cos.f64 b))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) 2))) (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 b))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)))) (pow.f64 a 3))) (+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 b))) (.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2))) (/.f64 r (cos.f64 b)))))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a))))

Outputs
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1/3)
(cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (*.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/9) a)))
(+.f64 (.f64 1/3 (.f64 a (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (pow.f64 r 7)) (pow.f64 (cos.f64 b) 16)) 1/18) (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (pow.f64 r 7)) (pow.f64 (cos.f64 b) 16)) 1/18)))) (cbrt.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))
(fma.f64 (.f64 (.f64 1/3 (pow.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 16) (pow.f64 (cos.f64 b) 16)) (pow.f64 r 7)) 1/18)) (pow.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 16) (pow.f64 (cos.f64 b) 16)) (pow.f64 r 7)) 1/18)) a (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(fma.f64 1/3 (.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 16) (pow.f64 (cos.f64 b) 16)) (pow.f64 r 7)) 1/18) (.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 16) (pow.f64 (cos.f64 b) 16)) (pow.f64 r 7)) 1/18) a)) (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
(+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) 1/3) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (*.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/9) a))))
(+.f64 (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r)))) (.f64 a a)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (fma.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 b) 35) (/.f64 (pow.f64 (cos.f64 b) 35) (pow.f64 r 17))) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 b) 35) (/.f64 (pow.f64 (cos.f64 b) 35) (pow.f64 r 17))) 1/18)) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) -1/2)))) (.f64 1/3 (.f64 a (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (pow.f64 r 7)) (pow.f64 (cos.f64 b) 16)) 1/18) (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (pow.f64 r 7)) (pow.f64 (cos.f64 b) 16)) 1/18))))) (cbrt.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))
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(-.f64 (-.f64 (.f64 (/.f64 r (cos.f64 b)) (+.f64 (/.f64 (.f64 (sin.f64 b) a) (cos.f64 b)) 1)) (.f64 a (.f64 a (.f64 (/.f64 r (cos.f64 b)) (-.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))))) (.f64 (pow.f64 a 3) (+.f64 (.f64 (sin.f64 b) (/.f64 (.f64 (/.f64 r (cos.f64 b)) (-.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)))) (cos.f64 b))) (.f64 (.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) 2))) -1/3))))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 r (cos.f64 (+.f64 b a)))
(/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 r (cos.f64 (+.f64 b a)))
(/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 r (cos.f64 (+.f64 b a)))
(/.f64 r (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 r (cos.f64 (+.f64 b a)))

eval816.0ms (4.9%)

Compiler: Compiled 26111 to 10359 computations (60.3% saved)

prune449.0ms (2.7%)

Pruning

86 alts after pruning (78 fresh and 8 done)

	Pruned	Kept	Total
New	940	33	973
Fresh	20	45	65
Picked	1	0	1
Done	1	8	9
Total	962	86	1048

Error

0.0b

Counts

1048 → 86

Alt Table

Click to see full alt table

Status	Error	Program
	32.7b	(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 3) r)))
	0.9b	(/.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))))
	14.2b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	48.9b	(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 2))
	32.6b	(/.f64 1 (/.f64 (/.f64 (cos.f64 a) r) (sin.f64 b)))
✓	32.6b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 a))))
	46.4b	(.f64 (/.f64 r (fma.f64 (.f64 a a) -1/2 1)) b)
	32.7b	(*.f64 (expm1.f64 (log1p.f64 (/.f64 r (cos.f64 (-.f64 a b))))) (sin.f64 b))
	14.9b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
	35.8b	(*.f64 (/.f64 b (cos.f64 a)) r)
	53.8b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
	14.8b	(*.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 3) (sin.f64 b))
	42.8b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3)
	51.4b	(pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3)
	32.9b	(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) 3))
	32.9b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)) 3)
	32.6b	(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 1 r))
	14.2b	(.f64 r (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
	0.3b	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b))
	15.0b	(.f64 (sin.f64 b) (.f64 r (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))
	45.0b	(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))) 3))
	0.5b	(.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 a) (cos.f64 b))))))) (sin.f64 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))))
	39.4b	(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (*.f64 2 a))) 1/2)))
	25.5b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
	34.0b	(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 b))))))
	36.7b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
✓	42.6b	(*.f64 (sin.f64 b) r)
	35.8b	(/.f64 (*.f64 r b) (cos.f64 a))
✓	46.1b	(*.f64 r b)
	32.7b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (+.f64 1 (cos.f64 a)) 1))))
	48.2b	(-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1)
	14.9b	(*.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 r) 2) (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 r))))
	32.6b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
	35.8b	(/.f64 b (/.f64 (cos.f64 a) r))
	35.7b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
	14.2b	(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r)))
	14.2b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	0.7b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (.f64 (cbrt.f64 (cos.f64 b)) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))))
	0.5b	(/.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)))))))
	32.6b	(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
	47.5b	(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) 2))
	34.1b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
✓	0.3b	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
	26.9b	(.f64 (/.f64 r (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (.f64 (pow.f64 a 3) 1/6))))) (sin.f64 b))
	47.1b	(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))))
	30.5b	(.f64 (sin.f64 b) (.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2))))
	45.0b	(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)))
	53.3b	(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
✓	30.6b	(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
	25.1b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
✓	0.3b	(.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
	14.6b	(/.f64 r (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)))
	35.1b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (*.f64 b -1/2) (sin.f64 a)))))
	25.9b	(.f64 (/.f64 r (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))) (sin.f64 b))
	25.0b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	32.9b	(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) -3))
	42.0b	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) 3)
	37.3b	(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
	25.1b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	37.4b	(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 1/3)) 3)
	32.9b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))) 3)
	53.8b	(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
	49.3b	(exp.f64 (log.f64 (*.f64 (sin.f64 b) r)))
	46.7b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
	25.0b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	0.3b	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) 1))) (sin.f64 b))
	25.9b	(.f64 (/.f64 r (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))) (sin.f64 b))
	15.1b	(pow.f64 (*.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (cbrt.f64 (sin.f64 b))) 3)
	47.3b	(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 b a))))))
	53.3b	(.f64 (sin.f64 b) (exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 r (cos.f64 a)))) 3)))
	34.0b	(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 b)))))) (.f64 (sin.f64 b) r))
	37.5b	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3) 3)
	58.4b	(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 b)) 1) (log.f64 (/.f64 (cos.f64 a) r))))
	36.4b	(.f64 (/.f64 r (cos.f64 a)) (+.f64 b (.f64 1/3 (pow.f64 b 3))))
	42.7b	(*.f64 (sin.f64 b) (/.f64 1 (/.f64 1 r)))
	24.6b	(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 (.f64 2 b)) (cos.f64 (.f64 2 a))) (.f64 (sin.f64 (.f64 2 b)) (sin.f64 (.f64 2 a))))))))
	25.0b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	1.2b	(pow.f64 (cbrt.f64 (.f64 (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))) 3)
✓	32.6b	(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 a) r)))
	32.6b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
	25.9b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
	25.6b	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))) (sin.f64 b))
	0.3b	(.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (log1p.f64 (expm1.f64 (.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b))

Compiler

Compiled 1369 to 953 computations (30.4% saved)

regimes769.0ms (4.7%)

Counts

168 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1)
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 1 r)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 r (fma.f64 (.f64 a a) -1/2 1)) b)
(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.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 1 (/.f64 (/.f64 (cos.f64 a) r) (sin.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 1 r))
(/.f64 r (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 a) r)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.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 r (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(+.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (/.f64 r (cos.f64 a)) (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (+.f64 1 (cos.f64 a)) 1))))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (sin.f64 b) r)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 a))) 2) b)
(/.f64 (*.f64 r (sin.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a))))
(.f64 (/.f64 r (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(/.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)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (*.f64 2 a))) 1/2)))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 b))))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (*.f64 b -1/2) (sin.f64 a)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 b)))))) (.f64 (sin.f64 b) r))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
(.f64 (/.f64 r (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))) (sin.f64 b))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)))
(exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) 2))
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) -3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))) 3)
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) 3))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 a) 2)))
(*.f64 (expm1.f64 (log1p.f64 (/.f64 r (cos.f64 (-.f64 a b))))) (sin.f64 b))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) 3)
(.f64 (sin.f64 b) (.f64 r (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 a))))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 (sqrt.f64 r) (/.f64 (cos.f64 a) (sqrt.f64 r))))
(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))))
(exp.f64 (log.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (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)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 3) r)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 3) (sin.f64 b))
(.f64 (sin.f64 b) (.f64 r (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 a))) 3)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 3))))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(.f64 (sin.f64 b) (.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2))))
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.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 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3) 3)
(.f64 (sin.f64 b) (.f64 r (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))
(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))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
(.f64 (sin.f64 b) (.f64 r (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (+.f64 b a)))) 3)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))) (sin.f64 b))
(/.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 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 a (sin.f64 b))))
(.f64 (/.f64 r (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (.f64 (pow.f64 a 3) 1/6))))) (sin.f64 b))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))) 3))
(.f64 (sin.f64 b) (exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 r (cos.f64 a)))) 3)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 b)) 1) (log.f64 (/.f64 (cos.f64 a) r))))
(pow.f64 (*.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (cbrt.f64 (sin.f64 b))) 3)
(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 b) 3)) 1/3)
(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 1/3)) 3)
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (neg.f64 a))))
(*.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 r) 2) (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 r))))
(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(.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 (/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 1) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b))
(.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 (.f64 2 b)) (cos.f64 (.f64 2 a))) (.f64 (sin.f64 (.f64 2 b)) (sin.f64 (.f64 2 a))))))))
(pow.f64 (cbrt.f64 (.f64 (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))) 3)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) 1))) (sin.f64 b))
(.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (log1p.f64 (expm1.f64 (.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b))
(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (pow.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 2) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 a) (cos.f64 b))))))) (sin.f64 b))
(/.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 (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))) (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)))))
(.f64 (/.f64 r (fma.f64 (.f64 (neg.f64 (sin.f64 b)) (sqrt.f64 (sin.f64 a))) (sqrt.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (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 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (.f64 (cbrt.f64 (cos.f64 b)) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))))
(/.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 (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 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))))))
(/.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 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))))
(/.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)))))

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

Calls

4 calls:

251.0ms	b
149.0ms	r
136.0ms	a
135.0ms	(/.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 2320 to 736 computations (68.3% saved)

regimes783.0ms (4.7%)

Counts

144 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1)
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 1 r)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 r (fma.f64 (.f64 a a) -1/2 1)) b)
(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.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 1 (/.f64 (/.f64 (cos.f64 a) r) (sin.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 1 r))
(/.f64 r (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 a) r)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.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 r (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(+.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (/.f64 r (cos.f64 a)) (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (+.f64 1 (cos.f64 a)) 1))))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (sin.f64 b) r)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 a))) 2) b)
(/.f64 (*.f64 r (sin.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a))))
(.f64 (/.f64 r (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(/.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)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (*.f64 2 a))) 1/2)))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 b))))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (*.f64 b -1/2) (sin.f64 a)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 b)))))) (.f64 (sin.f64 b) r))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
(.f64 (/.f64 r (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))) (sin.f64 b))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)))
(exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) 2))
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) -3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))) 3)
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) 3))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 a) 2)))
(*.f64 (expm1.f64 (log1p.f64 (/.f64 r (cos.f64 (-.f64 a b))))) (sin.f64 b))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) 3)
(.f64 (sin.f64 b) (.f64 r (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 a))))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 (sqrt.f64 r) (/.f64 (cos.f64 a) (sqrt.f64 r))))
(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))))
(exp.f64 (log.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (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)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 3) r)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 3) (sin.f64 b))
(.f64 (sin.f64 b) (.f64 r (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 a))) 3)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 3))))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(.f64 (sin.f64 b) (.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2))))
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.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 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3) 3)
(.f64 (sin.f64 b) (.f64 r (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))
(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))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
(.f64 (sin.f64 b) (.f64 r (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (+.f64 b a)))) 3)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))) (sin.f64 b))
(/.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 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 a (sin.f64 b))))
(.f64 (/.f64 r (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (.f64 (pow.f64 a 3) 1/6))))) (sin.f64 b))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))) 3))
(.f64 (sin.f64 b) (exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 r (cos.f64 a)))) 3)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 b)) 1) (log.f64 (/.f64 (cos.f64 a) r))))
(pow.f64 (*.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (cbrt.f64 (sin.f64 b))) 3)
(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 b) 3)) 1/3)
(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 1/3)) 3)
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (neg.f64 a))))
(*.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 r) 2) (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 r))))
(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(.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 (/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 1) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b))

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

Calls

4 calls:

217.0ms	b
185.0ms	r
166.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
93.0ms	a

Results

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

Compiler

Compiled 1617 to 552 computations (65.9% saved)

regimes496.0ms (3%)

Counts

140 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1)
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 1 r)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 r (fma.f64 (.f64 a a) -1/2 1)) b)
(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.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 1 (/.f64 (/.f64 (cos.f64 a) r) (sin.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 1 r))
(/.f64 r (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 a) r)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.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 r (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(+.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (/.f64 r (cos.f64 a)) (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (+.f64 1 (cos.f64 a)) 1))))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (sin.f64 b) r)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 a))) 2) b)
(/.f64 (*.f64 r (sin.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a))))
(.f64 (/.f64 r (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(/.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)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (*.f64 2 a))) 1/2)))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 b))))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (*.f64 b -1/2) (sin.f64 a)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 b)))))) (.f64 (sin.f64 b) r))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
(.f64 (/.f64 r (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))) (sin.f64 b))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)))
(exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) 2))
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) -3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))) 3)
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) 3))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 a) 2)))
(*.f64 (expm1.f64 (log1p.f64 (/.f64 r (cos.f64 (-.f64 a b))))) (sin.f64 b))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) 3)
(.f64 (sin.f64 b) (.f64 r (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 a))))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 (sqrt.f64 r) (/.f64 (cos.f64 a) (sqrt.f64 r))))
(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))))
(exp.f64 (log.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (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)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 3) r)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 3) (sin.f64 b))
(.f64 (sin.f64 b) (.f64 r (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 a))) 3)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 3))))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(.f64 (sin.f64 b) (.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2))))
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.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 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3) 3)
(.f64 (sin.f64 b) (.f64 r (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))
(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))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
(.f64 (sin.f64 b) (.f64 r (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (+.f64 b a)))) 3)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))) (sin.f64 b))
(/.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 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 a (sin.f64 b))))
(.f64 (/.f64 r (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (.f64 (pow.f64 a 3) 1/6))))) (sin.f64 b))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))) 3))
(.f64 (sin.f64 b) (exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 r (cos.f64 a)))) 3)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 b)) 1) (log.f64 (/.f64 (cos.f64 a) r))))
(pow.f64 (*.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (cbrt.f64 (sin.f64 b))) 3)
(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 b) 3)) 1/3)
(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 1/3)) 3)
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (neg.f64 a))))
(*.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 r) 2) (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 r))))
(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))

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

Calls

4 calls:

125.0ms	a
124.0ms	r
110.0ms	b
88.0ms	(/.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 1551 to 539 computations (65.2% saved)

regimes480.0ms (2.9%)

Counts

138 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1)
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 1 r)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 r (fma.f64 (.f64 a a) -1/2 1)) b)
(-.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.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 1 (/.f64 (/.f64 (cos.f64 a) r) (sin.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 1 r))
(/.f64 r (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 a) r)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.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 r (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(+.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (/.f64 r (cos.f64 a)) (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (+.f64 1 (cos.f64 a)) 1))))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (sin.f64 b) r)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 r (cos.f64 a))) 2) b)
(/.f64 (*.f64 r (sin.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a))))
(.f64 (/.f64 r (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(/.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)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (*.f64 2 a))) 1/2)))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 b))))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (*.f64 b -1/2) (sin.f64 a)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 b)))))) (.f64 (sin.f64 b) r))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
(.f64 (/.f64 r (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))) (sin.f64 b))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)))
(exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) 2))
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) -3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))) 3)
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) 3))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 a) 2)))
(*.f64 (expm1.f64 (log1p.f64 (/.f64 r (cos.f64 (-.f64 a b))))) (sin.f64 b))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) 3)
(.f64 (sin.f64 b) (.f64 r (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 a))))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 (sqrt.f64 r) (/.f64 (cos.f64 a) (sqrt.f64 r))))
(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))))
(exp.f64 (log.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (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)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 3) r)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 3) (sin.f64 b))
(.f64 (sin.f64 b) (.f64 r (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 a))) 3)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 3))))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(.f64 (sin.f64 b) (.f64 r (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2))))
(*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.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 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3) 3)
(.f64 (sin.f64 b) (.f64 r (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))
(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))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
(.f64 (sin.f64 b) (.f64 r (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (+.f64 b a)))) 3)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b))) (sin.f64 b))
(/.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 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 a (sin.f64 b))))
(.f64 (/.f64 r (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (.f64 (pow.f64 a 3) 1/6))))) (sin.f64 b))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r))) 3))
(.f64 (sin.f64 b) (exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 r (cos.f64 a)))) 3)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 b)) 1) (log.f64 (/.f64 (cos.f64 a) r))))
(pow.f64 (*.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (cbrt.f64 (sin.f64 b))) 3)
(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 b) 3)) 1/3)
(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 1/3)) 3)
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (neg.f64 a))))
(*.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 r) 2) (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 r))))
(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)

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

Calls

4 calls:

162.0ms	b
101.0ms	a
85.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
83.0ms	r

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 1519 to 532 computations (65% saved)

regimes75.0ms (0.5%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	b
20.0ms	a
20.0ms	r

Results

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

Compiler

Compiled 320 to 111 computations (65.3% saved)

regimes72.0ms (0.4%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	r
20.0ms	a
20.0ms	b

Results

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

Compiler

Compiled 293 to 101 computations (65.5% saved)

regimes165.0ms (1%)

Counts

29 → 3

Calls

Call 1

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

Calls

3 calls:

84.0ms	b
42.0ms	a
32.0ms	r

Results

Error	Segments	Branch
25.0b	1	`r`
14.5b	3	`a`
14.7b	3	`b`

Compiler

Compiled 221 to 79 computations (64.3% saved)

bsearch147.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
81.0ms	9.734337366593063e-5	0.00041598700414730624
66.0ms	-19170516.827141967	-13240.645957325309

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes71.0ms (0.4%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	b
12.0ms	r
12.0ms	a

Results

Error	Segments	Branch
32.6b	1	`r`
32.6b	1	`a`
32.6b	1	`b`

Compiler

Compiled 165 to 68 computations (58.8% saved)

regimes37.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	b
11.0ms	a
10.0ms	r

Results

Error	Segments	Branch
32.6b	1	`r`
32.6b	1	`a`
32.6b	1	`b`

Compiler

Compiled 158 to 67 computations (57.6% saved)

regimes42.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	a
10.0ms	b
10.0ms	r

Results

Error	Segments	Branch
32.6b	1	`r`
32.6b	1	`a`
32.6b	1	`b`

Compiler

Compiled 144 to 64 computations (55.6% saved)

regimes65.0ms (0.4%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	b
23.0ms	a
12.0ms	r

Results

Error	Segments	Branch
35.7b	1	`r`
33.7b	3	`a`
32.3b	3	`b`

Compiler

Compiled 137 to 63 computations (54% saved)

bsearch157.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
74.0ms	124382132154903.66	3.9924631511443896e+21
83.0ms	-75279090288.97202	-909.2965028605057

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes81.0ms (0.5%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	a
19.0ms	b
8.0ms	r

Results

Error	Segments	Branch
35.8b	1	`r`
33.7b	3	`a`
32.3b	3	`b`

Compiler

Compiled 88 to 39 computations (55.7% saved)

bsearch168.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
103.0ms	0.0002405259447169674	12132.182392392648
65.0ms	-75279090288.97202	-909.2965028605057

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes76.0ms (0.5%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	a
31.0ms	b
11.0ms	r

Results

Error	Segments	Branch
35.8b	1	`r`
33.7b	3	`a`
32.3b	3	`b`

Compiler

Compiled 52 to 23 computations (55.8% saved)

bsearch239.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
104.0ms	0.0002405259447169674	12132.182392392648
134.0ms	-75279090288.97202	-909.2965028605057

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes24.0ms (0.1%)

Accuracy

Total -3.6b remaining (-8.5%)

Threshold costs -3.6b (-8.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	r
6.0ms	b
6.0ms	a

Results

Error	Segments	Branch
42.6b	1	`r`
42.6b	1	`a`
42.6b	1	`b`

Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	310
1	88	310
2	97	310
3	102	310
4	104	310

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(.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 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(if (<=.f64 a -5146046426249527/268435456) (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) (if (<=.f64 a 7182673205147601/73786976294838206464) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(if (<=.f64 b -2466745230589035/32768) (.f64 (sin.f64 b) r) (if (<=.f64 b 3980228228956917/32) (/.f64 (.f64 r b) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b -2466745230589035/32768) (.f64 (sin.f64 b) r) (if (<=.f64 b 8873841090562219/36893488147419103232) (.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b -2466745230589035/32768) (.f64 (sin.f64 b) r) (if (<=.f64 b 8873841090562219/36893488147419103232) (.f64 (/.f64 b (cos.f64 a)) r) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(*.f64 r b)

Outputs
(.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(if (<=.f64 a -5146046426249527/268435456) (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) (if (<=.f64 a 7182673205147601/73786976294838206464) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))))
(if (<=.f64 a -5146046426249527/268435456) (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) (if (<=.f64 a 7182673205147601/73786976294838206464) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(if (<=.f64 b -2466745230589035/32768) (.f64 (sin.f64 b) r) (if (<=.f64 b 3980228228956917/32) (/.f64 (.f64 r b) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b -2466745230589035/32768) (.f64 r (sin.f64 b)) (if (<=.f64 b 3980228228956917/32) (/.f64 (.f64 r b) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))))
(if (<=.f64 b -2466745230589035/32768) (.f64 (sin.f64 b) r) (if (<=.f64 b 8873841090562219/36893488147419103232) (.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b -2466745230589035/32768) (.f64 r (sin.f64 b)) (if (<=.f64 b 8873841090562219/36893488147419103232) (.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (sin.f64 b))))
(if (<=.f64 b -2466745230589035/32768) (.f64 (sin.f64 b) r) (if (<=.f64 b 8873841090562219/36893488147419103232) (.f64 (/.f64 b (cos.f64 a)) r) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b -2466745230589035/32768) (.f64 r (sin.f64 b)) (if (<=.f64 b 8873841090562219/36893488147419103232) (.f64 r (/.f64 b (cos.f64 a))) (*.f64 r (sin.f64 b))))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(*.f64 r b)

Compiler

Compiled 245 to 149 computations (39.2% saved)

soundness89.0ms (0.5%)

Algorithm

2×	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: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	13	14
2	17	14
3	20	14
4	21	14
0	146	2131
1	474	2036
2	1597	1960

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 187 to 123 computations (34.2% saved)

end138.0ms (0.8%)

Compiler: Compiled 203 to 63 computations (69% saved)