Details

analyze462.0ms (3%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.0s (19.6%)

Results

1.8s	3676×	body	1024	valid
504.0ms	2949×	body	256	valid
473.0ms	1419×	body	512	valid
208.0ms	212×	body	2048	valid
0.0ms	1×	body	1024	infinite
0.0ms	1×	body	256	infinite

Bogosity

preprocess8.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

24×	`*-commutative`
16×	`associate-/l*`
16×	`associate-/r/`
6×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	108
1	41	108
2	55	108
3	67	108
4	71	108
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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 a (sin.f64 b)) (cos.f64 (+.f64 r b)))
(/.f64 a (/.f64 (cos.f64 (+.f64 r b)) (sin.f64 b)))
(*.f64 (/.f64 a (cos.f64 (+.f64 r b))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 a (cos.f64 (+.f64 r b))))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 a r)))
(/.f64 b (/.f64 (cos.f64 (+.f64 r a)) (sin.f64 r)))
(*.f64 (/.f64 (sin.f64 r) (cos.f64 (+.f64 r a))) b)
(*.f64 b (/.f64 (sin.f64 r) (cos.f64 (+.f64 r a))))
(/.f64 (*.f64 r (sin.f64 a)) (cos.f64 (+.f64 b a)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 a))
(*.f64 (sin.f64 a) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 a) (cos.f64 (+.f64 b a))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
4×	`associate-/l*`
4×	`associate-/r/`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	15	27
2	19	27
3	22	27
4	23	27

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

14.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.9b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
▶	14.9b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
✓	0.2b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
✓	2.8b	(cos.f64 (+.f64 b a))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series12.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`associate-*l/`
1608×	`associate-/l*`
626×	`associate-/r/`
544×	`distribute-lft-in`
356×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	244	59
2	3523	59

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

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

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

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

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

simplify122.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

904×	`associate-r`
858×	`times-frac`
812×	`associate-+r+`
696×	`associate-/l*`
690×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	505	8234
1	1461	7946
2	7229	7946

Stop Event

1×	node limit

Counts

242 → 277

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 (cos.f64 a) b)
(+.f64 (*.f64 -1 (sin.f64 a)) (/.f64 (cos.f64 a) b))
(+.f64 (.f64 b (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 -1/6 (cos.f64 a)))) (+.f64 (.f64 -1 (sin.f64 a)) (/.f64 (cos.f64 a) b)))
(+.f64 (.f64 (-.f64 (.f64 1/24 (cos.f64 a)) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 -1/6 (cos.f64 a)))) (.f64 1/120 (cos.f64 a)))) (pow.f64 b 3)) (+.f64 (.f64 b (-.f64 (.f64 -1/2 (cos.f64 a)) (.f64 -1/6 (cos.f64 a)))) (+.f64 (.f64 -1 (sin.f64 a)) (/.f64 (cos.f64 a) b))))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (sin.f64 b))
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) (sin.f64 b))
(/.f64 (cos.f64 b) (sin.f64 b))
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 -1 a))
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (+.f64 (.f64 -1 a) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (cos.f64 b)) (sin.f64 b)))))
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (+.f64 (.f64 1/6 (pow.f64 a 3)) (+.f64 (.f64 -1 a) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) (sin.f64 b))))))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (sqrt.f64 (sin.f64 b))) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (sqrt.f64 (sin.f64 b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (sin.f64 b)) (cbrt.f64 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2))) (cbrt.f64 (cos.f64 (+.f64 b a))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 1)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) -1)
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3) (pow.f64 (sin.f64 b) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 r (sin.f64 b))
✓	0.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
✓	2.8b	(cos.f64 (+.f64 a b))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series3.0ms (0%)

Counts

3 → 76

Calls

21 calls:

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

rewrite121.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`associate-*r/`
1414×	`associate-/r*`
1266×	`associate-/l*`
1194×	`associate-*l/`
258×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	238	49
2	3345	49

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

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

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

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1144×	`distribute-lft-in`
772×	`associate-/r/`
662×	`associate-/l/`
620×	`associate-+r+`
594×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	5591
1	952	5259
2	4598	5247

Stop Event

1×	node limit

Counts

169 → 198

Calls

Call 1

Inputs
(cos.f64 b)
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 r b)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 b 7) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r)))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(+.f64 (cos.f64 (+.f64 a b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (cos.f64 (+.f64 a b)) (+.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (.f64 (sin.f64 b) (sin.f64 a)))))
(+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (+.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))))
(+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (+.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))))
(+.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 (+.f64 a b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 a b)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 a b)))) (-.f64 1 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 (cos.f64 (+.f64 a b)) 1)
(*.f64 1 (cos.f64 (+.f64 a b)))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) (sqrt.f64 (cos.f64 (+.f64 a b))))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 2) (cbrt.f64 (cos.f64 (+.f64 a b))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3))) (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) 1) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))))
(pow.f64 (cos.f64 (+.f64 a b)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 a b)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 a b))))
(exp.f64 (log.f64 (cos.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 a b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 1)
(.f64 1 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(.f64 (sqrt.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) (sqrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 a b)))))
(.f64 (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) (pow.f64 (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 2) (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (.f64 (cbrt.f64 (.f64 r (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 a b)))))
(.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 r (sin.f64 b)))
(.f64 (.f64 r (neg.f64 (sin.f64 b))) (/.f64 -1 (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (/.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) (sin.f64 b))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 2)) (/.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 r 1) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 2)) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 2)) (/.f64 r (cbrt.f64 (cos.f64 (+.f64 a b)))))
(.f64 (/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 1) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 2)) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cbrt.f64 (cos.f64 (+.f64 a b)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) 1) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (sqrt.f64 (cos.f64 (+.f64 a b)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 2)) (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 1)
(pow.f64 (sqrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 2)
(pow.f64 (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 3)
(pow.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 3) 1/3)
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) -1)
(neg.f64 (/.f64 r (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b))))
(sqrt.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 2))
(log.f64 (exp.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))))
(cbrt.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 3))
(expm1.f64 (log1p.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(exp.f64 (log.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(exp.f64 (.f64 (log.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 1))
(log1p.f64 (expm1.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) 1)
(pow.f64 (*.f64 r (sin.f64 b)) 1)
(pow.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3)
(pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2))
(log.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 r (sin.f64 b)))))
(cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3))
(cbrt.f64 (*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)))
(expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b))))
(exp.f64 (log.f64 (*.f64 r (sin.f64 b))))
(exp.f64 (.f64 (log.f64 (.f64 r (sin.f64 b))) 1))
(log1p.f64 (expm1.f64 (*.f64 r (sin.f64 b))))

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

eval145.0ms (0.9%)

Compiler: Compiled 10069 to 3199 computations (68.2% saved)

prune155.0ms (1%)

Pruning

45 alts after pruning (44 fresh and 1 done)

	Pruned	Kept	Total
New	431	44	475
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	432	45	477

Error

0.0b

Counts

477 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	47.7b	(pow.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3) 1/3)
▶	15.0b	(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
	15.6b	(pow.f64 (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) 3)
	49.1b	(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 a b)))
	15.5b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 a b)))
	26.5b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
▶	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
▶	15.3b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2) (.f64 (neg.f64 (pow.f64 (sin.f64 b) 2)) (pow.f64 (sin.f64 a) 2))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.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))))
	14.9b	(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 a b)))))
	29.8b	(/.f64 (*.f64 r (sin.f64 b)) (fabs.f64 (cos.f64 (+.f64 b a))))
✓	14.9b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
▶	28.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	30.9b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
	30.9b	(/.f64 (*.f64 b r) (cos.f64 a))
	26.5b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	37.1b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
	0.4b	(/.f64 r (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a) (neg.f64 (sin.f64 a))))
	30.1b	(/.f64 r (fma.f64 b (*.f64 (cos.f64 a) -1/3) (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))))
	15.0b	(/.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) -1))
	37.8b	(/.f64 r (pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
	15.5b	(/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3))
	28.1b	(/.f64 r (/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (.f64 a (sin.f64 b))) (sin.f64 b)))
	0.4b	(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
	27.8b	(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) (sin.f64 b)))
	15.0b	(/.f64 r (/.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) (sin.f64 b)))
	26.6b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
	28.3b	(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
	31.0b	(/.f64 r (/.f64 (cos.f64 a) b))
	15.0b	(/.f64 r (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3)) (sin.f64 b)))
	0.4b	(/.f64 r (-.f64 (/.f64 (cos.f64 b) (/.f64 (sin.f64 b) (cos.f64 a))) (/.f64 (sin.f64 b) (/.f64 (sin.f64 b) (sin.f64 a)))))
	27.8b	(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
	28.7b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
	33.0b	(/.f64 r (fabs.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
	30.9b	(/.f64 b (/.f64 (cos.f64 a) r))
	0.3b	(.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (sin.f64 b))) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 a) 2)) (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 a) 2)))))
	14.9b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
	26.5b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	26.5b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
▶	30.9b	(*.f64 (/.f64 r (cos.f64 a)) b)
	14.9b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	31.5b	(fabs.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))
	34.7b	(exp.f64 (log.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))

Compiler

Compiled 1328 to 896 computations (32.5% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 56 to 12 computations (78.6% saved)

series15.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(*.f64 (sin.f64 b) (sin.f64 a))
2.0ms	r	@	0	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
1.0ms	b	@	inf	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
1.0ms	a	@	inf	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
1.0ms	a	@	-inf	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`associate-*r/`
1340×	`associate-/r*`
1170×	`associate-*l/`
352×	`add-sqr-sqrt`
346×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	101
1	333	53
2	4489	53

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (-.f64 b a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 1 (/.f64 (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 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 (sin.f64 b) (/.f64 r (cos.f64 (-.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (-.f64 b a))))) (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (-.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (*.f64 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simplify119.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

806×	`times-frac`
742×	`associate-r`
722×	`associate-/l*`
706×	`associate-/r*`
564×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	572	7785
1	1580	7785

Stop Event

1×	node limit

Counts

285 → 248

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)

series6.0ms (0%)

Counts

2 → 40

Calls

15 calls:

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

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1914×	`add-sqr-sqrt`
1902×	`*-un-lft-identity`
1760×	`add-cube-cbrt`
1732×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	182	28
2	2335	28

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1594×	`associate-*r/`
1004×	`associate-/l*`
866×	`*-commutative`
850×	`unswap-sqr`
608×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	1787
1	495	1691
2	2132	1663

Stop Event

1×	node limit

Counts

95 → 88

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

Outputs
r
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) r)
(fma.f64 1/2 (.f64 r (.f64 a a)) r)
(fma.f64 1/2 (.f64 a (.f64 a 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))
(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 a (.f64 a r)) (-.f64 r (.f64 r (.f64 -5/24 (pow.f64 a 4)))))
(+.f64 r (.f64 r (-.f64 (.f64 1/2 (.f64 a a)) (.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 a (.f64 a r)) (-.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)))))
(+.f64 (-.f64 r (.f64 (pow.f64 a 6) (.f64 r -61/720))) (.f64 r (-.f64 (.f64 1/2 (.f64 a a)) (.f64 (pow.f64 a 4) -5/24))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (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 b (fma.f64 1/2 (.f64 r (*.f64 a a)) r))
(+.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)))
(+.f64 (.f64 b (fma.f64 1/2 (.f64 r (.f64 a a)) r)) (.f64 (pow.f64 a 4) (.f64 (.f64 r b) 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 (.f64 1/48 b) r)))) (.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 b (fma.f64 1/2 (.f64 r (.f64 a a)) r)) (-.f64 (.f64 (pow.f64 a 4) (.f64 (.f64 r b) 5/24)) (.f64 (pow.f64 a 6) (+.f64 (.f64 (.f64 r b) -1/8) (.f64 (*.f64 r b) 29/720)))))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 r (cos.f64 a)))) 1)
(/.f64 r (cos.f64 a))
(*.f64 r (/.f64 1 (cos.f64 a)))
(/.f64 r (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) 1)
(/.f64 r (cos.f64 a))
(*.f64 1 (/.f64 r (cos.f64 a)))
(/.f64 r (cos.f64 a))
(.f64 (sqrt.f64 r) (.f64 (sqrt.f64 r) (/.f64 1 (cos.f64 a))))
(/.f64 r (cos.f64 a))
(*.f64 (sqrt.f64 (/.f64 r (cos.f64 a))) (sqrt.f64 (/.f64 r (cos.f64 a))))
(/.f64 r (cos.f64 a))
(.f64 (pow.f64 (cbrt.f64 r) 2) (.f64 (cbrt.f64 r) (/.f64 1 (cos.f64 a))))
(/.f64 r (cos.f64 a))
(*.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) 2))
(/.f64 r (cos.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) 2) (cbrt.f64 (/.f64 r (cos.f64 a))))
(/.f64 r (cos.f64 a))
(*.f64 (/.f64 1 (cos.f64 a)) r)
(/.f64 r (cos.f64 a))
(*.f64 (neg.f64 r) (/.f64 1 (neg.f64 (cos.f64 a))))
(/.f64 r (cos.f64 a))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 a))) (/.f64 r (sqrt.f64 (cos.f64 a))))
(/.f64 r (cos.f64 a))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 r (cbrt.f64 (cos.f64 a))))
(/.f64 r (cos.f64 a))
(*.f64 (/.f64 (sqrt.f64 r) 1) (/.f64 (sqrt.f64 r) (cos.f64 a)))
(/.f64 r (cos.f64 a))
(*.f64 (/.f64 (sqrt.f64 r) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sqrt.f64 r) (cbrt.f64 (cos.f64 a))))
(/.f64 r (cos.f64 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) 1) (/.f64 (cbrt.f64 r) (cos.f64 a)))
(/.f64 r (cos.f64 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) (sqrt.f64 (cos.f64 a))) (/.f64 (cbrt.f64 r) (sqrt.f64 (cos.f64 a))))
(/.f64 r (cos.f64 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (/.f64 r (cos.f64 a))))
(*.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) (/.f64 (pow.f64 (cbrt.f64 r) 2) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)))
(pow.f64 (/.f64 r (cos.f64 a)) 1)
(/.f64 r (cos.f64 a))
(pow.f64 (sqrt.f64 (/.f64 r (cos.f64 a))) 2)
(/.f64 r (cos.f64 a))
(pow.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) 3)
(/.f64 r (cos.f64 a))
(pow.f64 (pow.f64 (/.f64 r (cos.f64 a)) 3) 1/3)
(/.f64 r (cos.f64 a))
(pow.f64 (/.f64 (cos.f64 a) r) -1)
(/.f64 r (cos.f64 a))
(neg.f64 (/.f64 r (neg.f64 (cos.f64 a))))
(/.f64 r (cos.f64 a))
(sqrt.f64 (pow.f64 (/.f64 r (cos.f64 a)) 2))
(fabs.f64 (/.f64 r (cos.f64 a)))
(log.f64 (exp.f64 (/.f64 r (cos.f64 a))))
(/.f64 r (cos.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 r (cos.f64 a)))))
(/.f64 r (cos.f64 a))
(cbrt.f64 (pow.f64 (/.f64 r (cos.f64 a)) 3))
(/.f64 r (cos.f64 a))
(expm1.f64 (log1p.f64 (/.f64 r (cos.f64 a))))
(/.f64 r (cos.f64 a))
(exp.f64 (log.f64 (/.f64 r (cos.f64 a))))
(/.f64 r (cos.f64 a))
(exp.f64 (*.f64 (log.f64 (/.f64 r (cos.f64 a))) 1))
(/.f64 r (cos.f64 a))
(log1p.f64 (expm1.f64 (/.f64 r (cos.f64 a))))
(/.f64 r (cos.f64 a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b))) 1)
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b (neg.f64 r)) (neg.f64 (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 (neg.f64 r) b) (neg.f64 (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (/.f64 (*.f64 r b) 1) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (/.f64 (*.f64 r b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (/.f64 (*.f64 r b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (neg.f64 (*.f64 r b)) (neg.f64 (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 1)
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3) 1/3)
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 2))
(fabs.f64 (*.f64 r (/.f64 b (cos.f64 a))))
(log.f64 (pow.f64 (exp.f64 b) (/.f64 r (cos.f64 a))))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 r (cos.f64 a)) b))))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 r (cos.f64 a)) b)) 1))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 7 computations (66.7% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`associate-/r*`
1122×	`associate-/l*`
994×	`*-commutative`
850×	`associate-*r/`
634×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	201	21
2	2618	21

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

Outputs

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

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1726×	`associate-/l*`
816×	`*-commutative`
778×	`fma-def`
630×	`associate-/r*`
606×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	3002
1	561	2894
2	2002	2850
3	7967	2850

Stop Event

1×	node limit

Counts

102 → 101

Calls

Call 1

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

Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (.f64 -1/6 (/.f64 (.f64 r (pow.f64 b 3)) (cos.f64 a))))
(fma.f64 -1/6 (*.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 3)) (/.f64 b (/.f64 (cos.f64 a) r)))
(fma.f64 -1/6 (*.f64 (pow.f64 b 3) (/.f64 r (cos.f64 a))) (/.f64 b (/.f64 (cos.f64 a) r)))
(+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a)))))
(fma.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a)) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a)))))
(fma.f64 1/120 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 5)) (fma.f64 -1/6 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 3)) (/.f64 b (/.f64 (cos.f64 a) r))))
(fma.f64 -1/6 (*.f64 (pow.f64 b 3) (/.f64 r (cos.f64 a))) (fma.f64 1/120 (/.f64 r (/.f64 (cos.f64 a) (pow.f64 b 5))) (/.f64 b (/.f64 (cos.f64 a) r))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 r (pow.f64 b 7)) (cos.f64 a))) (+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))))
(fma.f64 -1/5040 (/.f64 r (/.f64 (cos.f64 a) (pow.f64 b 7))) (fma.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a)) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))))
(fma.f64 -1/5040 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 7)) (fma.f64 1/120 (.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 5)) (fma.f64 -1/6 (*.f64 (/.f64 r (cos.f64 a)) (pow.f64 b 3)) (/.f64 b (/.f64 (cos.f64 a) r)))))
(fma.f64 1/120 (/.f64 r (/.f64 (cos.f64 a) (pow.f64 b 5))) (fma.f64 -1/5040 (.f64 (pow.f64 b 7) (/.f64 r (cos.f64 a))) (fma.f64 -1/6 (.f64 (pow.f64 b 3) (/.f64 r (cos.f64 a))) (/.f64 b (/.f64 (cos.f64 a) r)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 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))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 r (.f64 a a))) (.f64 (sin.f64 b) r))
(.f64 (sin.f64 b) (+.f64 r (.f64 1/2 (.f64 r (.f64 a a)))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (.f64 (sin.f64 b) r)))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 r (.f64 a a))) (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) -5/24)) (*.f64 (sin.f64 b) r)))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 r (.f64 a a))) (-.f64 (.f64 (sin.f64 b) r) (.f64 (.f64 (sin.f64 b) r) (*.f64 -5/24 (pow.f64 a 4)))))
(fma.f64 (sin.f64 b) (.f64 1/2 (.f64 r (.f64 a a))) (.f64 (.f64 (sin.f64 b) r) (-.f64 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 (sin.f64 b) (.f64 r (.f64 a a))) (fma.f64 -1 (.f64 (fma.f64 -1/720 (.f64 (sin.f64 b) r) (fma.f64 1/2 (.f64 (.f64 (sin.f64 b) r) -5/24) (.f64 (.f64 (sin.f64 b) r) 1/48))) (pow.f64 a 6)) (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) -5/24)) (*.f64 (sin.f64 b) r))))
(fma.f64 1/2 (.f64 (sin.f64 b) (.f64 r (.f64 a a))) (-.f64 (-.f64 (.f64 (sin.f64 b) r) (.f64 (.f64 (sin.f64 b) r) (.f64 -5/24 (pow.f64 a 4)))) (.f64 (fma.f64 (.f64 (sin.f64 b) r) -1/720 (fma.f64 (.f64 (sin.f64 b) r) 1/48 (.f64 (.f64 (sin.f64 b) r) -5/48))) (pow.f64 a 6))))
(fma.f64 (sin.f64 b) (.f64 1/2 (.f64 r (.f64 a a))) (fma.f64 (fma.f64 (sin.f64 b) (.f64 r 1/48) (.f64 (.f64 (sin.f64 b) r) -19/180)) (neg.f64 (pow.f64 a 6)) (.f64 (.f64 (sin.f64 b) r) (-.f64 1 (*.f64 (pow.f64 a 4) -5/24)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))) 1)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.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))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) 1)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 1 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))) (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))) 2))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))) (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)))
(.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)))
(/.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))) 2) (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(.f64 (/.f64 1 (cos.f64 a)) (.f64 r (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(.f64 (.f64 r (neg.f64 (sin.f64 b))) (/.f64 -1 (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(.f64 (/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (cos.f64 a)) (sqrt.f64 (*.f64 r (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(.f64 (/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (cos.f64 a)) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 1))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(.f64 (/.f64 (cbrt.f64 (.f64 r (sin.f64 b))) (cos.f64 a)) (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(.f64 (/.f64 (cbrt.f64 (.f64 r (sin.f64 b))) (cos.f64 a)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) 1))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 a))) (/.f64 r (/.f64 (sqrt.f64 (cos.f64 a)) (sin.f64 b))))
(/.f64 (*.f64 r (/.f64 1 (sqrt.f64 (cos.f64 a)))) (/.f64 (sqrt.f64 (cos.f64 a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 a))) (/.f64 r (sqrt.f64 (cos.f64 a))))
(/.f64 r (*.f64 (sqrt.f64 (cos.f64 a)) (/.f64 (sqrt.f64 (cos.f64 a)) (sin.f64 b))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 a)) r)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (.f64 (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 a))) r))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 r (cbrt.f64 (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) (/.f64 r (cbrt.f64 (cos.f64 a)))) (pow.f64 (cbrt.f64 (cos.f64 a)) 2))
(*.f64 (/.f64 r (/.f64 (sqrt.f64 (cos.f64 a)) (sin.f64 b))) (/.f64 1 (sqrt.f64 (cos.f64 a))))
(/.f64 (*.f64 r (/.f64 1 (sqrt.f64 (cos.f64 a)))) (/.f64 (sqrt.f64 (cos.f64 a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 a))) (/.f64 r (sqrt.f64 (cos.f64 a))))
(/.f64 r (*.f64 (sqrt.f64 (cos.f64 a)) (/.f64 (sqrt.f64 (cos.f64 a)) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 r 1))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 a))) (/.f64 r (sqrt.f64 (cos.f64 a))))
(/.f64 (*.f64 r (/.f64 1 (sqrt.f64 (cos.f64 a)))) (/.f64 (sqrt.f64 (cos.f64 a)) (sin.f64 b)))
(/.f64 r (*.f64 (sqrt.f64 (cos.f64 a)) (/.f64 (sqrt.f64 (cos.f64 a)) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 a))) (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 a)) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (.f64 (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 a))) r))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 r (cbrt.f64 (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) (/.f64 r (cbrt.f64 (cos.f64 a)))) (pow.f64 (cbrt.f64 (cos.f64 a)) 2))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 a)) r)) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (.f64 (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 a))) r))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 r (cbrt.f64 (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) (/.f64 r (cbrt.f64 (cos.f64 a)))) (pow.f64 (cbrt.f64 (cos.f64 a)) 2))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 (sin.f64 b) 1))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(.f64 (/.f64 -1 (cos.f64 a)) (.f64 r (neg.f64 (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 r 1) (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 r (sqrt.f64 (cos.f64 a))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 a))))
(/.f64 (*.f64 r (/.f64 1 (sqrt.f64 (cos.f64 a)))) (/.f64 (sqrt.f64 (cos.f64 a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 a))) (/.f64 r (sqrt.f64 (cos.f64 a))))
(/.f64 r (*.f64 (sqrt.f64 (cos.f64 a)) (/.f64 (sqrt.f64 (cos.f64 a)) (sin.f64 b))))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 a))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (.f64 (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 a))) r))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 r (cbrt.f64 (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) (/.f64 r (cbrt.f64 (cos.f64 a)))) (pow.f64 (cbrt.f64 (cos.f64 a)) 2))
(*.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 r (cbrt.f64 (cos.f64 a))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (.f64 (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 a))) r))
(/.f64 (*.f64 (sin.f64 b) (/.f64 r (cbrt.f64 (cos.f64 a)))) (pow.f64 (cbrt.f64 (cos.f64 a)) 2))
(*.f64 (/.f64 r (cbrt.f64 (cos.f64 a))) (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (.f64 (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 a))) r))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 r (cbrt.f64 (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) (/.f64 r (cbrt.f64 (cos.f64 a)))) (pow.f64 (cbrt.f64 (cos.f64 a)) 2))
(.f64 (/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 1) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(.f64 (/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cbrt.f64 (cos.f64 a))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (.f64 (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 a))) r))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 r (cbrt.f64 (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) (/.f64 r (cbrt.f64 (cos.f64 a)))) (pow.f64 (cbrt.f64 (cos.f64 a)) 2))
(.f64 (/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (cbrt.f64 (cos.f64 a))) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (.f64 (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 a))) r))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 r (cbrt.f64 (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) (/.f64 r (cbrt.f64 (cos.f64 a)))) (pow.f64 (cbrt.f64 (cos.f64 a)) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) 1) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (sqrt.f64 (cos.f64 a))) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (sqrt.f64 (cos.f64 a))))
(/.f64 (*.f64 r (/.f64 1 (sqrt.f64 (cos.f64 a)))) (/.f64 (sqrt.f64 (cos.f64 a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 a))) (/.f64 r (sqrt.f64 (cos.f64 a))))
(/.f64 r (*.f64 (sqrt.f64 (cos.f64 a)) (/.f64 (sqrt.f64 (cos.f64 a)) (sin.f64 b))))
(.f64 (/.f64 (cbrt.f64 (.f64 r (sin.f64 b))) (sqrt.f64 (cos.f64 a))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (sqrt.f64 (cos.f64 a))))
(/.f64 (*.f64 r (/.f64 1 (sqrt.f64 (cos.f64 a)))) (/.f64 (sqrt.f64 (cos.f64 a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 a))) (/.f64 r (sqrt.f64 (cos.f64 a))))
(/.f64 r (*.f64 (sqrt.f64 (cos.f64 a)) (/.f64 (sqrt.f64 (cos.f64 a)) (sin.f64 b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)))
(/.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2))
(*.f64 (/.f64 (sqrt.f64 r) (/.f64 (cos.f64 a) (sin.f64 b))) (sqrt.f64 r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 r (/.f64 (cos.f64 a) (sqrt.f64 (sin.f64 b)))) (sqrt.f64 (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (cos.f64 a)) (cbrt.f64 (*.f64 r (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 r (neg.f64 (cos.f64 a))) (neg.f64 (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 r (/.f64 (cos.f64 a) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))) (cbrt.f64 (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(.f64 (/.f64 1 (/.f64 (cos.f64 a) (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2))) (cbrt.f64 (*.f64 r (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) (/.f64 (cos.f64 a) (sin.f64 b))) (cbrt.f64 r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) 1)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))) 2)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))) 3)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(pow.f64 (pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) 3) 1/3)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(pow.f64 (/.f64 (/.f64 (cos.f64 a) r) (sin.f64 b)) -1)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(neg.f64 (/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(neg.f64 (.f64 (/.f64 (.f64 r (sin.f64 b)) (neg.f64 (cos.f64 a))) 1))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(neg.f64 (.f64 (.f64 r (sin.f64 b)) (/.f64 -1 (cos.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(neg.f64 (.f64 1 (/.f64 (.f64 r (sin.f64 b)) (neg.f64 (cos.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) 2))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(log.f64 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) 3))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 r (sin.f64 b))
✓	0.2b	(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
✓	0.3b	(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
	2.8b	(cos.f64 (+.f64 b a))

Compiler

Compiled 40 to 11 computations (72.5% saved)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite127.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`associate-*r/`
1456×	`associate-*l/`
1336×	`associate-/l*`
298×	`add-sqr-sqrt`
290×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	283	54
2	3813	54

Stop Event

1×	node limit

Counts

2 → 198

Calls

Call 1

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

Outputs

((#(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 (*.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 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (sqrt.f64 (/.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)))) (cbrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2)) (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(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 (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) (neg.f64 r)))))) (#(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) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (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) 1) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change 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simplify136.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

786×	`associate-/l*`
748×	`distribute-lft-in`
732×	`associate-r`
618×	`associate-/r/`
574×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	576	10378
1	1515	10268
2	6034	10266

Stop Event

1×	node limit

Counts

270 → 308

Calls

Call 1

Inputs
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 r 2) (-.f64 (.f64 -1/2 (/.f64 (cos.f64 a) r)) (.f64 -1/6 (/.f64 (cos.f64 a) r)))) (pow.f64 (cos.f64 a) 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 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 -1 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 r 2) (-.f64 (.f64 -1/2 (/.f64 (cos.f64 a) r)) (.f64 -1/6 (/.f64 (cos.f64 a) r)))) (pow.f64 (cos.f64 a) 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3))) (.f64 -1 (.f64 (pow.f64 b 4) (+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 r 2) (-.f64 (.f64 -1/2 (/.f64 (cos.f64 a) r)) (.f64 -1/6 (/.f64 (cos.f64 a) r))))) (pow.f64 (cos.f64 a) 3)) (/.f64 (.f64 (sin.f64 a) (+.f64 (/.f64 (.f64 (pow.f64 r 2) (-.f64 (.f64 -1/2 (/.f64 (cos.f64 a) r)) (.f64 -1/6 (/.f64 (cos.f64 a) r)))) (pow.f64 (cos.f64 a) 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))) (cos.f64 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 (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (cos.f64 a) (*.f64 b r))
(+.f64 (.f64 -1 (/.f64 (sin.f64 a) r)) (/.f64 (cos.f64 a) (.f64 r b)))
(+.f64 (.f64 b (-.f64 (.f64 -1/2 (/.f64 (cos.f64 a) r)) (.f64 -1/6 (/.f64 (cos.f64 a) r)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 a) r)) (/.f64 (cos.f64 a) (*.f64 r b))))
(+.f64 (.f64 b (-.f64 (.f64 -1/2 (/.f64 (cos.f64 a) r)) (.f64 -1/6 (/.f64 (cos.f64 a) r)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 a) r)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 1/24 (/.f64 (cos.f64 a) r)) (+.f64 (.f64 1/120 (/.f64 (cos.f64 a) r)) (.f64 -1/6 (-.f64 (.f64 -1/2 (/.f64 (cos.f64 a) r)) (.f64 -1/6 (/.f64 (cos.f64 a) r))))))) (/.f64 (cos.f64 a) (*.f64 r b)))))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) (.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) (.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) (.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) (.f64 (sin.f64 b) r))
(/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))
(+.f64 (.f64 -1 (/.f64 a r)) (/.f64 (cos.f64 b) (.f64 (sin.f64 b) r)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) (.f64 (sin.f64 b) r))) (+.f64 (.f64 -1 (/.f64 a r)) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) (.f64 (sin.f64 b) r))) (+.f64 (.f64 -1 (/.f64 a r)) (+.f64 (/.f64 (cos.f64 b) (.f64 (sin.f64 b) r)) (.f64 1/6 (/.f64 (pow.f64 a 3) r)))))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (-.f64 b (.f64 -1 a))) (.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (-.f64 b (.f64 -1 a))) (.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (-.f64 b (.f64 -1 a))) (.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (-.f64 b (.f64 -1 a))) (.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(-.f64 (exp.f64 (log1p.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) 1)
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 1)
(*.f64 1 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (sqrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (cbrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b))) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b))) -2)) (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 (sin.f64 b) (neg.f64 r)))
(*.f64 (/.f64 r 1) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 r (cbrt.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) r)))
(.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 (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)))))
(.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))))
(.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)))))
(.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 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(.f64 (pow.f64 (cos.f64 (+.f64 b a)) -1) (pow.f64 (/.f64 1 (.f64 r (sin.f64 b))) -1))
(.f64 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) -1) (pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) -1))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 r (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 1))
(/.f64 r (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) 1))
(/.f64 -1 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 -1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 1)
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 1 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 (.f64 r (sin.f64 b)))) (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2)))
(/.f64 (sqrt.f64 r) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (sqrt.f64 r)))
(/.f64 (sqrt.f64 r) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sqrt.f64 r) (sin.f64 b))))
(/.f64 (sqrt.f64 r) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sqrt.f64 (*.f64 r (sin.f64 b)))) (sqrt.f64 (sin.f64 b))))
(/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sqrt.f64 (sin.f64 b))))
(/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sqrt.f64 (sin.f64 b)) r)))
(/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sqrt.f64 (*.f64 r (sin.f64 b)))) (sqrt.f64 r)))
(/.f64 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (sqrt.f64 (.f64 r (sin.f64 b)))))
(/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 (sqrt.f64 (.f64 r (sin.f64 b))))))
(/.f64 (cbrt.f64 r) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (pow.f64 (cbrt.f64 r) 2)))
(/.f64 (pow.f64 (cbrt.f64 r) 2) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (cbrt.f64 r)))
(/.f64 (pow.f64 (cbrt.f64 r) 2) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cbrt.f64 r) (sin.f64 b))))
(/.f64 (cbrt.f64 (sin.f64 b)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (cbrt.f64 (sin.f64 b))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (cbrt.f64 (sin.f64 b)) r)))
(/.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))))
(/.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (/.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) (cbrt.f64 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b))) -2)) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))))
(/.f64 (cbrt.f64 (.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2)))
(/.f64 (cbrt.f64 (.f64 r (sin.f64 b))) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sqrt.f64 (.f64 r (sin.f64 b)))) (cbrt.f64 (sqrt.f64 (*.f64 r (sin.f64 b))))))
(/.f64 (cbrt.f64 (.f64 r (sin.f64 b))) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 (.f64 r (sin.f64 b)))) (cbrt.f64 (*.f64 r (sin.f64 b)))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 (.f64 r (sin.f64 b)))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 (cbrt.f64 (.f64 r (sin.f64 b))))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b))) -2))) (/.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) (sqrt.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))
(/.f64 (sqrt.f64 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) (/.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) (sqrt.f64 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))
(/.f64 (sqrt.f64 (sqrt.f64 (.f64 r (sin.f64 b)))) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sqrt.f64 (.f64 r (sin.f64 b)))) (sqrt.f64 (sqrt.f64 (*.f64 r (sin.f64 b))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sqrt.f64 (.f64 r (sin.f64 b)))) (sqrt.f64 (cbrt.f64 (*.f64 r (sin.f64 b))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 (.f64 r (sin.f64 b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 b) (neg.f64 r))) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sqrt.f64 (.f64 (sin.f64 b) (neg.f64 r)))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2))) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 (.f64 r (sin.f64 b)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2))))
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(exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))

Outputs
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (*.f64 b b)))))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (.f64 r (.f64 b b)) (/.f64 (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 -1 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 r 2) (-.f64 (.f64 -1/2 (/.f64 (cos.f64 a) r)) (.f64 -1/6 (/.f64 (cos.f64 a) r)))) (pow.f64 (cos.f64 a) 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3)))))
(+.f64 (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b))))) (neg.f64 (.f64 (+.f64 (/.f64 (.f64 r r) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 (/.f64 (cos.f64 a) r) -1/3))) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r)))) (pow.f64 b 3))))
(+.f64 (/.f64 (.f64 r (.f64 b b)) (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))) (-.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (.f64 (-.f64 (/.f64 (.f64 r r) (/.f64 (pow.f64 (cos.f64 a) 2) (/.f64 (.f64 (cos.f64 a) -1/3) r))) (.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)) (pow.f64 b 3))))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (-.f64 (/.f64 (.f64 r (.f64 b b)) (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))) (.f64 (-.f64 (/.f64 (.f64 r r) (/.f64 (pow.f64 (cos.f64 a) 2) (/.f64 (.f64 (cos.f64 a) -1/3) r))) (.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)) (pow.f64 b 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 -1 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 r 2) (-.f64 (.f64 -1/2 (/.f64 (cos.f64 a) r)) (.f64 -1/6 (/.f64 (cos.f64 a) r)))) (pow.f64 (cos.f64 a) 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))) (pow.f64 b 3))) (.f64 -1 (.f64 (pow.f64 b 4) (+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 r 2) (-.f64 (.f64 -1/2 (/.f64 (cos.f64 a) r)) (.f64 -1/6 (/.f64 (cos.f64 a) r))))) (pow.f64 (cos.f64 a) 3)) (/.f64 (.f64 (sin.f64 a) (+.f64 (/.f64 (.f64 (pow.f64 r 2) (-.f64 (.f64 -1/2 (/.f64 (cos.f64 a) r)) (.f64 -1/6 (/.f64 (cos.f64 a) r)))) (pow.f64 (cos.f64 a) 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))))))))
(+.f64 (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b))))) (.f64 -1 (+.f64 (.f64 (+.f64 (/.f64 (.f64 r r) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 (/.f64 (cos.f64 a) r) -1/3))) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r)))) (pow.f64 b 3)) (.f64 (pow.f64 b 4) (+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 3) (.f64 (.f64 r r) (.f64 (/.f64 (cos.f64 a) r) -1/3)))) (/.f64 (sin.f64 a) (/.f64 (cos.f64 a) (+.f64 (/.f64 (.f64 r r) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (/.f64 (cos.f64 a) r) -1/3))) (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 -1 (fma.f64 (-.f64 (/.f64 (.f64 r r) (/.f64 (pow.f64 (cos.f64 a) 2) (/.f64 (.f64 (cos.f64 a) -1/3) r))) (.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)) (pow.f64 b 3) (.f64 (pow.f64 b 4) (+.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 3)) (.f64 r (.f64 r (/.f64 (.f64 (cos.f64 a) -1/3) r)))) (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (-.f64 (/.f64 (.f64 r r) (/.f64 (pow.f64 (cos.f64 a) 2) (/.f64 (.f64 (cos.f64 a) -1/3) r))) (.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)))))) (/.f64 r (/.f64 (cos.f64 a) b))))
(+.f64 (/.f64 (.f64 r (.f64 b b)) (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))) (-.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (fma.f64 (-.f64 (/.f64 (.f64 r r) (/.f64 (pow.f64 (cos.f64 a) 2) (/.f64 (.f64 (cos.f64 a) -1/3) r))) (.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)) (pow.f64 b 3) (.f64 (pow.f64 b 4) (+.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 3)) (.f64 r (.f64 r (/.f64 (.f64 (cos.f64 a) -1/3) r)))) (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (-.f64 (/.f64 (.f64 r r) (/.f64 (pow.f64 (cos.f64 a) 2) (/.f64 (.f64 (cos.f64 a) -1/3) r))) (.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(+.f64 (/.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 (/.f64 (pow.f64 (cos.f64 b) 2) r) a)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r a))) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))
(+.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (-.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 b) 2) r) a)) (.f64 a (.f64 a (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (*.f64 (neg.f64 r) (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)))))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r a))) (fma.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) -1/3))) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (*.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 b) 2) r) a)) (-.f64 (-.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (.f64 a (.f64 a (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (.f64 (neg.f64 r) (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)))))) (.f64 (pow.f64 a 3) (fma.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) r) -1/3 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (.f64 (neg.f64 r) (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))))))))
(+.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 b) 2) r) a)) (.f64 (pow.f64 a 3) (fma.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) r) -1/3 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (.f64 (neg.f64 r) (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))))))) (.f64 a (.f64 a (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (.f64 (neg.f64 r) (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (cos.f64 a) (*.f64 b r))
(+.f64 (.f64 -1 (/.f64 (sin.f64 a) r)) (/.f64 (cos.f64 a) (.f64 r b)))
(fma.f64 -1 (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) (*.f64 b r)))
(-.f64 (/.f64 (cos.f64 a) (*.f64 b r)) (/.f64 (sin.f64 a) r))
(+.f64 (.f64 b (-.f64 (.f64 -1/2 (/.f64 (cos.f64 a) r)) (.f64 -1/6 (/.f64 (cos.f64 a) r)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 a) r)) (/.f64 (cos.f64 a) (*.f64 r b))))
(fma.f64 b (.f64 (/.f64 (cos.f64 a) r) -1/3) (fma.f64 -1 (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) (.f64 b r))))
(fma.f64 b (/.f64 (.f64 (cos.f64 a) -1/3) r) (-.f64 (/.f64 (cos.f64 a) (.f64 b r)) (/.f64 (sin.f64 a) r)))
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(fma.f64 b (.f64 (/.f64 (cos.f64 a) r) -1/3) (fma.f64 -1 (/.f64 (sin.f64 a) r) (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 (cos.f64 a) r) 1/24) (fma.f64 1/120 (/.f64 (cos.f64 a) r) (.f64 -1/6 (.f64 (/.f64 (cos.f64 a) r) -1/3)))) (/.f64 (cos.f64 a) (*.f64 b r)))))
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(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) 1)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cbrt.f64 (cos.f64 (+.f64 b a))))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) 1)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (sqrt.f64 (cos.f64 (+.f64 b a))))) (sqrt.f64 (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2))
(.f64 (cbrt.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)))
(/.f64 (.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (sqrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) (sqrt.f64 (cos.f64 (+.f64 b a))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sqrt.f64 (.f64 r (sin.f64 b)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) (sqrt.f64 (cos.f64 (+.f64 b a)))) (sqrt.f64 (*.f64 r (sin.f64 b))))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(fabs.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(log.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(cbrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(expm1.f64 (log1p.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(exp.f64 (-.f64 (log.f64 (*.f64 r (sin.f64 b))) (log.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(exp.f64 (*.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 1))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(log1p.f64 (expm1.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) 1)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 r (sin.f64 b))) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 r (sin.f64 b))))
(-.f64 (.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 a) (sin.f64 b))) (.f64 (/.f64 (sin.f64 b) r) (/.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (.f64 (/.f64 (cos.f64 a) r) (/.f64 (cos.f64 b) (sin.f64 b))) (.f64 (sin.f64 b) (/.f64 (sin.f64 a) (*.f64 r (sin.f64 b)))))
(.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (.f64 r (sin.f64 b))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b))) 1)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (/.f64 1 (*.f64 r (sin.f64 b)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) 2))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) 2) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (/.f64 1 (*.f64 r (sin.f64 b)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 1 (sin.f64 b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(.f64 (/.f64 1 (.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 1 (.f64 (sin.f64 b) (neg.f64 r))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 1 r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 1 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 r (sin.f64 b)))) (/.f64 (cos.f64 (+.f64 b a)) (sqrt.f64 (*.f64 r (sin.f64 b)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2)) (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 (*.f64 r (sin.f64 b)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 1) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2)) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (cbrt.f64 (*.f64 r (sin.f64 b)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) r) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (sin.f64 b)) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) r))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (sqrt.f64 (.f64 r (sin.f64 b)))) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (sqrt.f64 (*.f64 r (sin.f64 b)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2)) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b))))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 1)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) -1)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) 2)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) 3)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 3) 1/3)
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 2))
(fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 3))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3) (pow.f64 (*.f64 r (sin.f64 b)) 3)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) 1))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3))
✓	0.5b	(cbrt.f64 (cos.f64 (+.f64 a b)))
✓	0.6b	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3)
	2.8b	(cos.f64 (+.f64 a b))

Compiler

Compiled 44 to 14 computations (68.2% saved)

series28.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3)
4.0ms	a	@	0	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3)
4.0ms	b	@	0	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3)
2.0ms	a	@	inf	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3)
2.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3)

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1836×	`associate-/l*`
1528×	`associate-*r/`
1276×	`associate-*l/`
300×	`add-sqr-sqrt`
290×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	53
1	304	53
2	3942	53

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

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

Outputs

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

simplify544.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1174×	`associate-r`
1020×	`+-commutative`
892×	`associate-l`
796×	`*-commutative`
752×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	537	13172
1	1646	12200
2	6860	12188

Stop Event

1×	node limit

Counts

194 → 221

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(+.f64 (.f64 (pow.f64 1 1/3) (cos.f64 b)) (.f64 a (+.f64 (.f64 -1/3 (.f64 (sin.f64 b) (pow.f64 (.f64 1 (pow.f64 (cos.f64 b) 4)) 1/9))) (.f64 -2/3 (.f64 (sin.f64 b) (pow.f64 (.f64 1 (pow.f64 (cos.f64 b) 4)) 1/9))))))
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(+.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 (cos.f64 (+.f64 a b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (cos.f64 (+.f64 a b)) (+.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (.f64 (sin.f64 b) (sin.f64 a)))))
(+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (+.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))))
(+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (+.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))))
(+.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 (+.f64 a b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 a b)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 a b)))) (-.f64 1 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))
(*.f64 (cos.f64 (+.f64 a b)) 1)
(*.f64 1 (cos.f64 (+.f64 a b)))
(.f64 (pow.f64 (cos.f64 (+.f64 a b)) 1/6) (.f64 (pow.f64 (cos.f64 (+.f64 a b)) 1/6) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) (sqrt.f64 (cos.f64 (+.f64 a b))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 a b)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 a b)))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)) (cbrt.f64 (cos.f64 (+.f64 a b))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)) 1) (cbrt.f64 (cos.f64 (+.f64 a b))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)) (pow.f64 (cos.f64 (+.f64 a b)) 1/6)) (pow.f64 (cos.f64 (+.f64 a b)) 1/6))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 a b)))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) 1/6) 3) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 a b)))) 2) 3) (cbrt.f64 (cos.f64 (+.f64 a b))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) (+.f64 (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3))) (+.f64 (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) 1) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) 1) (+.f64 (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 a b)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3))
(cos.f64 (+.f64 a b))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 a b))))
(exp.f64 (log.f64 (cos.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 a b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (+.f64 a b))))) 1)
(*.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 1)
(*.f64 1 (cbrt.f64 (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) 1/6) (pow.f64 (cos.f64 (+.f64 a b)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 a b)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 a b)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 a b)))) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 a b)))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) 1/3))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 1)
(pow.f64 (cos.f64 (+.f64 a b)) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 a b)))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 (+.f64 a b)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 (+.f64 a b))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (+.f64 a b)))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 (+.f64 a b)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (+.f64 a b)))) 1))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (+.f64 a b)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
(.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 1)
(.f64 1 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(.f64 (sqrt.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) (sqrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 a b)))))
(.f64 (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) (pow.f64 (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 2) (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (.f64 (cbrt.f64 (.f64 r (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 a b)))))
(.f64 (/.f64 1 (cos.f64 (+.f64 a b))) (.f64 r (sin.f64 b)))
(.f64 (.f64 r (neg.f64 (sin.f64 b))) (/.f64 1 (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)) r)))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (/.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) (sin.f64 b))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) r)))
(*.f64 (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (/.f64 r (cbrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 r (cbrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))))
(*.f64 (/.f64 r 1) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 r (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (cbrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cbrt.f64 (cos.f64 (+.f64 a b)))))
(.f64 (/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 1) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (cbrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) 1) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (sqrt.f64 (cos.f64 (+.f64 a b)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 1)
(pow.f64 (sqrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 2)
(pow.f64 (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 3)
(pow.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 3) 1/3)
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) -1)
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))
(sqrt.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 2))
(log.f64 (exp.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))))
(cbrt.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 a b)) 3)))
(expm1.f64 (log1p.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(exp.f64 (log.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(exp.f64 (.f64 (log.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 1))
(log1p.f64 (expm1.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))

Outputs
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(cos.f64 b)
(+.f64 (.f64 (pow.f64 1 1/3) (cos.f64 b)) (.f64 a (+.f64 (.f64 -1/3 (.f64 (sin.f64 b) (pow.f64 (.f64 1 (pow.f64 (cos.f64 b) 4)) 1/9))) (.f64 -2/3 (.f64 (sin.f64 b) (pow.f64 (.f64 1 (pow.f64 (cos.f64 b) 4)) 1/9))))))
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(.f64 (/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 1) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (cbrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))))
(.f64 (/.f64 1 (cbrt.f64 (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) r))
(*.f64 (sin.f64 b) (/.f64 (/.f64 r (cbrt.f64 (cos.f64 (+.f64 b a)))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) 1) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (sqrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))) (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 1)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(pow.f64 (sqrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 2)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(pow.f64 (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 3)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(pow.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 3) 1/3)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) -1)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (.f64 (.f64 r (neg.f64 (sin.f64 b))) 1) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(sqrt.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2))
(fabs.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))
(log.f64 (exp.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(cbrt.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) 3))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 a b)) 3)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(expm1.f64 (log1p.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(exp.f64 (log.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) 1))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(log1p.f64 (expm1.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))

eval464.0ms (3%)

Compiler: Compiled 31521 to 12371 computations (60.8% saved)

prune358.0ms (2.3%)

Pruning

69 alts after pruning (66 fresh and 3 done)

	Pruned	Kept	Total
New	1170	42	1212
Fresh	15	24	39
Picked	1	0	1
Done	2	3	5
Total	1188	69	1257

Error

Counts

1257 → 69

Alt Table

Click to see full alt table

Status	Error	Program
	49.3b	(pow.f64 (pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) 3) 1/3)
	47.7b	(pow.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (-.f64 b a)))) 3) 1/3)
	26.7b	(pow.f64 (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) r) -1)
	26.7b	(pow.f64 (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b)) -1)
	0.5b	(pow.f64 (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 r (sin.f64 b))) -1)
	30.0b	(pow.f64 (-.f64 (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b)) (/.f64 a r)) -1)
	28.8b	(pow.f64 (-.f64 (/.f64 (cos.f64 a) (*.f64 b r)) (/.f64 (sin.f64 a) r)) -1)
▶	15.0b	(pow.f64 (.f64 (/.f64 1 (.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) -1)
	15.1b	(pow.f64 (*.f64 (/.f64 1 r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) -1)
	28.8b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))) 3)
	15.6b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (-.f64 b a))))) 3)
	15.6b	(pow.f64 (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) 3)
	50.9b	(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 a))
	28.7b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (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))))
	26.5b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	35.4b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 b) 1/3) 3))
	32.7b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (-.f64 b a))) 2))
	15.3b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 b a))) 3))
	26.7b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))
	28.4b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 a)) 3))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) (+.f64 (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) 1))
✓	14.9b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
✓	28.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	30.9b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
	30.9b	(/.f64 (*.f64 r b) (cos.f64 a))
▶	0.3b	(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))) r))
▶	26.5b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	28.2b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
	40.2b	(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))
	37.1b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
	43.2b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 a))
	0.4b	(/.f64 r (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a) (neg.f64 (sin.f64 a))))
	30.1b	(/.f64 r (fma.f64 b (*.f64 (cos.f64 a) -1/3) (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))))
	15.0b	(/.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) -1))
	37.8b	(/.f64 r (pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
	15.5b	(/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3))
	28.1b	(/.f64 r (/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (.f64 a (sin.f64 b))) (sin.f64 b)))
	0.4b	(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
	27.8b	(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) (sin.f64 b)))
	26.6b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
	28.3b	(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
	31.0b	(/.f64 r (/.f64 (cos.f64 a) b))
	0.4b	(/.f64 r (-.f64 (/.f64 (cos.f64 b) (/.f64 (sin.f64 b) (cos.f64 a))) (/.f64 (sin.f64 b) (/.f64 (sin.f64 b) (sin.f64 a)))))
	27.8b	(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
	28.7b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
	33.0b	(/.f64 r (fabs.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
	30.9b	(/.f64 b (/.f64 (cos.f64 a) r))
	15.0b	(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	31.0b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
	26.5b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	28.2b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
	14.8b	(*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))
	26.5b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	30.9b	(*.f64 (/.f64 b (cos.f64 a)) r)
	28.2b	(.f64 (/.f64 1 (cos.f64 a)) (.f64 r (sin.f64 b)))
	46.3b	(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 r b))
	45.9b	(.f64 (sin.f64 b) (+.f64 r (.f64 1/2 (.f64 r (.f64 a a)))))
	39.4b	(*.f64 (sin.f64 b) r)
	14.9b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (sin.f64 b))))
▶	42.2b	(*.f64 r b)
	45.5b	(sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) 2))
▶	43.0b	(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
	31.6b	(fabs.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
	40.8b	(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))))
	34.7b	(exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (-.f64 b a))))))

Compiler

Compiled 1937 to 1319 computations (31.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 63 to 12 computations (81% saved)

series12.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

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

rewrite120.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1718×	`associate-*r/`
1474×	`associate-/l*`
1374×	`associate-*l/`
346×	`add-sqr-sqrt`
342×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	146
1	330	130
2	4422	130

Stop Event

1×	node limit

Counts

4 → 143

Calls

Call 1

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

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

simplify160.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1016×	`associate-+r+`
918×	`associate-+l+`
792×	`associate-r`
720×	`+-commutative`
636×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	477	11731
1	1297	11485
2	6599	11485

Stop Event

1×	node limit

Counts

263 → 282

Calls

Call 1

Inputs
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(.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)))
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(exp.f64 (log.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 b) (sin.f64 a))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) r))) 1)
(.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (/.f64 1 r))
(.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) r) 1)
(.f64 1 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) r)) (sqrt.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) r)))
(.f64 (sqrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (sqrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 1 r)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) r)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) r)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) r)) 2) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) r)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) 2) (.f64 (cbrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 1 r)))
(.f64 (/.f64 1 r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 1 (neg.f64 r)))
(.f64 (/.f64 1 (sqrt.f64 r)) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (sqrt.f64 r)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 r) 2)) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (cbrt.f64 r)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) 1) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) r))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 r) 2)) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (cbrt.f64 r)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) r))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) 2) (sqrt.f64 r)) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (sqrt.f64 r)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) 2) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) r)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) r) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) r)) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) r)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) r) 3) 1/3)
(pow.f64 (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) -1)
(neg.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) (neg.f64 r)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) r) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) r)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) r))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) r) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) 3) (pow.f64 r 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) r)))
(exp.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) r)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) r)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) r)))
(+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 1))
(+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) 1) (*.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) 0) (.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (exp.f64 (log1p.f64 (.f64 (sin.f64 b) (sin.f64 a))))) 1)
(-.f64 0 (-.f64 (.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 (exp.f64 (log1p.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 1 (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) 0) (.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (exp.f64 (log1p.f64 (.f64 (sin.f64 b) (sin.f64 a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) 1) 0) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) 1) (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) 1)
(.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) 1)
(.f64 1 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(.f64 (sqrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (sqrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (cbrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) 2) (cbrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 2)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3)) (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 2) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 2))) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3))) (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 2) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 2)) 1) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 2) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))))
(pow.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))

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

localize4.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series6.0ms (0%)

Counts

3 → 32

Calls

15 calls:

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

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1460×	`associate-/l*`
1374×	`associate-*r/`
980×	`*-commutative`
934×	`associate-*l/`
442×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	188	27
2	2592	27

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

Outputs

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

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

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

simplify135.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

918×	`distribute-lft-neg-in`
892×	`times-frac`
858×	`distribute-rgt-neg-in`
734×	`associate-/r*`
660×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	412	3895
1	1081	3769
2	5733	3723

Stop Event

1×	node limit

Counts

209 → 232

Calls

Call 1

Inputs
(*.f64 r b)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 1 r)
(+.f64 (/.f64 1 r) (*.f64 -1/2 (/.f64 (pow.f64 b 2) r)))
(+.f64 (/.f64 1 r) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) r)) (.f64 1/24 (/.f64 (pow.f64 b 4) r))))
(+.f64 (/.f64 1 r) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) r)) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 b 6) r)) (*.f64 1/24 (/.f64 (pow.f64 b 4) r)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 b 2)))
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 1 (.f64 -1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (*.f64 -1/720 (pow.f64 b 6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 r (tan.f64 b)))) 1)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 r (tan.f64 b))
(.f64 (.f64 r (tan.f64 b)) 1)
(.f64 1 (.f64 r (tan.f64 b)))
(.f64 (sqrt.f64 (sin.f64 b)) (.f64 (sqrt.f64 (sin.f64 b)) (/.f64 r (cos.f64 b))))
(.f64 (sqrt.f64 (.f64 r (tan.f64 b))) (sqrt.f64 (*.f64 r (tan.f64 b))))
(.f64 (sqrt.f64 r) (.f64 (sqrt.f64 r) (tan.f64 b)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (.f64 (cbrt.f64 (sin.f64 b)) (/.f64 r (cos.f64 b))))
(.f64 (cbrt.f64 (.f64 r (tan.f64 b))) (pow.f64 (cbrt.f64 (*.f64 r (tan.f64 b))) 2))
(.f64 (cbrt.f64 (.f64 r (tan.f64 b))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 r (tan.f64 b))) 2) (cbrt.f64 (*.f64 r (tan.f64 b))))
(.f64 (cbrt.f64 r) (.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b)))
(*.f64 (tan.f64 b) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (/.f64 (sin.f64 b) 1))
(*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (/.f64 r (cos.f64 b))))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))))
(.f64 (.f64 (sqrt.f64 r) (tan.f64 b)) (sqrt.f64 r))
(.f64 (.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b)) (cbrt.f64 r))
(.f64 (.f64 (sqrt.f64 (sin.f64 b)) (/.f64 r (cos.f64 b))) (sqrt.f64 (sin.f64 b)))
(.f64 (.f64 (sqrt.f64 (sin.f64 b)) (/.f64 r (cos.f64 b))) (/.f64 (sqrt.f64 (sin.f64 b)) 1))
(.f64 (.f64 (cbrt.f64 (sin.f64 b)) (/.f64 r (cos.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))
(.f64 (.f64 (cbrt.f64 (sin.f64 b)) (/.f64 r (cos.f64 b))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) 1))
(*.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (/.f64 (cos.f64 b) r))) (/.f64 (sqrt.f64 r) (sqrt.f64 (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b))) (/.f64 r (sqrt.f64 (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (/.f64 r (cbrt.f64 (cos.f64 b))))
(.f64 (/.f64 1 (cos.f64 b)) (.f64 (sin.f64 b) r))
(*.f64 (/.f64 1 (cos.f64 b)) (/.f64 (sin.f64 b) (/.f64 1 r)))
(*.f64 (/.f64 (sqrt.f64 r) (sqrt.f64 (cos.f64 b))) (/.f64 (sin.f64 b) (sqrt.f64 (/.f64 (cos.f64 b) r))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2)) (/.f64 (sin.f64 b) (cbrt.f64 (/.f64 (cos.f64 b) r))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (/.f64 1 (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cbrt.f64 (/.f64 (cos.f64 b) r))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2)))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) (neg.f64 r))
(.f64 (/.f64 1 (neg.f64 (cos.f64 b))) (.f64 (sin.f64 b) (neg.f64 r)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 b)) (.f64 (/.f64 (sqrt.f64 (sin.f64 b)) 1) r))
(.f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 b)) 1) r) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 b)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 b)) 1) (.f64 (sqrt.f64 (sin.f64 b)) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2)) (/.f64 (sqrt.f64 (sin.f64 b)) (cbrt.f64 (/.f64 (cos.f64 b) r))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (cbrt.f64 (/.f64 (cos.f64 b) r))) (/.f64 (sqrt.f64 (sin.f64 b)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (cos.f64 b)) (/.f64 (cbrt.f64 (sin.f64 b)) (/.f64 1 r)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 b)) (/.f64 1 r)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (cos.f64 b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) 1) (.f64 (cbrt.f64 (sin.f64 b)) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (sqrt.f64 (/.f64 (cos.f64 b) r))) (/.f64 (cbrt.f64 (sin.f64 b)) (sqrt.f64 (/.f64 (cos.f64 b) r))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 b)) (sqrt.f64 (/.f64 (cos.f64 b) r))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (sqrt.f64 (/.f64 (cos.f64 b) r))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2)) (cbrt.f64 (.f64 r (tan.f64 b))))
(*.f64 (neg.f64 (/.f64 r (cos.f64 b))) (neg.f64 (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (sqrt.f64 r))) (sqrt.f64 r))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (/.f64 (cos.f64 b) r)) (cbrt.f64 (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) -1) (neg.f64 (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (pow.f64 (cbrt.f64 r) 2))) (cbrt.f64 r))
(*.f64 (/.f64 1 (/.f64 (/.f64 (cos.f64 b) r) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))) (cbrt.f64 (sin.f64 b)))
(*.f64 (/.f64 (tan.f64 b) 1) r)
(*.f64 (/.f64 (tan.f64 b) 1) (/.f64 r 1))
(*.f64 (/.f64 (tan.f64 b) (/.f64 1 (sqrt.f64 r))) (sqrt.f64 r))
(*.f64 (/.f64 (tan.f64 b) (/.f64 1 (pow.f64 (cbrt.f64 r) 2))) (cbrt.f64 r))
(*.f64 (/.f64 (tan.f64 b) -1) (neg.f64 r))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) -1) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b)) (neg.f64 r))
(*.f64 (/.f64 (/.f64 (sin.f64 b) 1) 1) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (/.f64 (sin.f64 b) 1) (sqrt.f64 (cos.f64 b))) (/.f64 r (sqrt.f64 (cos.f64 b))))
(*.f64 (/.f64 (/.f64 (sin.f64 b) 1) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (/.f64 r (cbrt.f64 (cos.f64 b))))
(*.f64 (/.f64 (/.f64 (sin.f64 b) 1) (neg.f64 (cos.f64 b))) (neg.f64 r))
(*.f64 (/.f64 (/.f64 (sin.f64 b) 1) (/.f64 (cos.f64 b) 1)) r)
(*.f64 (/.f64 (/.f64 (sin.f64 b) 1) (/.f64 (cos.f64 b) (sqrt.f64 r))) (sqrt.f64 r))
(*.f64 (/.f64 (/.f64 (sin.f64 b) 1) (/.f64 (cos.f64 b) (pow.f64 (cbrt.f64 r) 2))) (cbrt.f64 r))
(*.f64 (/.f64 (/.f64 (sin.f64 b) 1) -1) (neg.f64 (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (sqrt.f64 (/.f64 (cos.f64 b) r))) 1) (sqrt.f64 (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (sqrt.f64 (/.f64 (cos.f64 b) r))) (sqrt.f64 (neg.f64 (cos.f64 b)))) (sqrt.f64 (neg.f64 r)))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2)) 1) (cbrt.f64 (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2)) (cbrt.f64 (cos.f64 b))) (cbrt.f64 r))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2)) (cbrt.f64 (neg.f64 (cos.f64 b)))) (cbrt.f64 (neg.f64 r)))
(pow.f64 (*.f64 r (tan.f64 b)) 1)
(pow.f64 (sqrt.f64 (*.f64 r (tan.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 r (tan.f64 b))) 3)
(pow.f64 (pow.f64 (*.f64 r (tan.f64 b)) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 r (tan.f64 b))) -1)
(neg.f64 (*.f64 (tan.f64 b) (neg.f64 r)))
(neg.f64 (*.f64 (sin.f64 b) (neg.f64 (/.f64 r (cos.f64 b)))))
(neg.f64 (.f64 (.f64 (tan.f64 b) (neg.f64 r)) 1))
(neg.f64 (.f64 1 (.f64 (tan.f64 b) (neg.f64 r))))
(sqrt.f64 (pow.f64 (*.f64 r (tan.f64 b)) 2))
(log.f64 (exp.f64 (*.f64 r (tan.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 r (tan.f64 b)))))
(cbrt.f64 (pow.f64 (*.f64 r (tan.f64 b)) 3))
(expm1.f64 (log1p.f64 (*.f64 r (tan.f64 b))))
(exp.f64 (log.f64 (*.f64 r (tan.f64 b))))
(log1p.f64 (expm1.f64 (*.f64 r (tan.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 b) r))) 1)
(*.f64 (cos.f64 b) (/.f64 1 r))
(*.f64 (cos.f64 b) (neg.f64 (neg.f64 (/.f64 1 r))))
(*.f64 (/.f64 (cos.f64 b) r) 1)
(*.f64 1 (/.f64 (cos.f64 b) r))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 b) r)) (sqrt.f64 (/.f64 (cos.f64 b) r)))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 b) r)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 b) r)))))
(*.f64 (sqrt.f64 (cos.f64 b)) (/.f64 (sqrt.f64 (cos.f64 b)) r))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (pow.f64 (cbrt.f64 r) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2) (cbrt.f64 (/.f64 (cos.f64 b) r)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (/.f64 (cbrt.f64 (cos.f64 b)) r))
(*.f64 (/.f64 1 r) (cos.f64 b))
(*.f64 (neg.f64 (cos.f64 b)) (neg.f64 (/.f64 1 r)))
(*.f64 (neg.f64 (cos.f64 b)) (/.f64 1 (neg.f64 r)))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 b) (neg.f64 r))) (neg.f64 (sqrt.f64 (/.f64 (cos.f64 b) (neg.f64 r)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 b) (neg.f64 r))) (cbrt.f64 (/.f64 (cos.f64 b) (neg.f64 r)))) (neg.f64 (cbrt.f64 (/.f64 (cos.f64 b) (neg.f64 r)))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 b)) r) (sqrt.f64 (cos.f64 b)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 b)) r) (/.f64 (sqrt.f64 (cos.f64 b)) 1))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 b)) r) (pow.f64 (cbrt.f64 (cos.f64 b)) 2))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 b)) r) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 r)) (/.f64 (cos.f64 b) (sqrt.f64 r)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 r) 2)) (/.f64 (cos.f64 b) (cbrt.f64 r)))
(*.f64 (/.f64 (cos.f64 b) 1) (/.f64 1 r))
(*.f64 (/.f64 (cos.f64 b) (sqrt.f64 r)) (/.f64 1 (sqrt.f64 r)))
(*.f64 (/.f64 (cos.f64 b) (cbrt.f64 r)) (/.f64 1 (pow.f64 (cbrt.f64 r) 2)))
(*.f64 -1 (/.f64 (cos.f64 b) (neg.f64 r)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 b) r))) (neg.f64 (sqrt.f64 (/.f64 (cos.f64 b) r))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2)) (neg.f64 (cbrt.f64 (/.f64 (cos.f64 b) r))))
(*.f64 (/.f64 1 (neg.f64 r)) (neg.f64 (cos.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2) 1) (cbrt.f64 (/.f64 (cos.f64 b) r)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 b)) 1) (/.f64 (sqrt.f64 (cos.f64 b)) r))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 b)) (pow.f64 (cbrt.f64 r) 2)) (/.f64 (sqrt.f64 (cos.f64 b)) (cbrt.f64 r)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 b)) (cbrt.f64 r)) (/.f64 (sqrt.f64 (cos.f64 b)) (pow.f64 (cbrt.f64 r) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 b)) r))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (sqrt.f64 r)) (/.f64 (cbrt.f64 (cos.f64 b)) (sqrt.f64 r)))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 b)) (sqrt.f64 r)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (sqrt.f64 r)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 (/.f64 (cos.f64 b) r)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) r) (cbrt.f64 (cos.f64 b)))
(*.f64 (/.f64 1 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 b)) 2))) (cbrt.f64 (cos.f64 b)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 b) (neg.f64 r)))) (sqrt.f64 (/.f64 (cos.f64 b) (neg.f64 r))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 b) (neg.f64 r))) (cbrt.f64 (/.f64 (cos.f64 b) (neg.f64 r))))) (cbrt.f64 (/.f64 (cos.f64 b) (neg.f64 r))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 b) r)))) (sqrt.f64 (/.f64 (cos.f64 b) r)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2))) (cbrt.f64 (/.f64 (cos.f64 b) r)))
(pow.f64 (/.f64 (cos.f64 b) r) 1)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 b) r)) 2)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 b) r) 3) 1/3)
(pow.f64 (/.f64 r (cos.f64 b)) -1)
(neg.f64 (/.f64 (cos.f64 b) (neg.f64 r)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 b) r) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 b) r)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 b) r))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 b) r) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 r 3)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 b) r)))
(exp.f64 (log.f64 (/.f64 (cos.f64 b) r)))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 b) r)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 b))) 1)
(*.f64 (cos.f64 b) 1)
(*.f64 1 (cos.f64 b))
(*.f64 (sqrt.f64 (cos.f64 b)) (sqrt.f64 (cos.f64 b)))
(*.f64 (sqrt.f64 (cos.f64 b)) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 b)))))
(*.f64 (cbrt.f64 (cos.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (cbrt.f64 (cos.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (neg.f64 (neg.f64 (cbrt.f64 (cos.f64 b)))))
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 b))) (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 b)))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (cos.f64 b))) (cbrt.f64 (neg.f64 (cos.f64 b)))) (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 b)))))
(*.f64 -1 (neg.f64 (cos.f64 b)))
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 b))) (neg.f64 (sqrt.f64 (cos.f64 b))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (neg.f64 (cbrt.f64 (cos.f64 b))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 b)))) (sqrt.f64 (neg.f64 (cos.f64 b))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (cos.f64 b))) (cbrt.f64 (neg.f64 (cos.f64 b))))) (cbrt.f64 (neg.f64 (cos.f64 b))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 b)))) (sqrt.f64 (cos.f64 b)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2))) (cbrt.f64 (cos.f64 b)))
(pow.f64 (cos.f64 b) 1)
(pow.f64 (sqrt.f64 (cos.f64 b)) 2)
(pow.f64 (cbrt.f64 (cos.f64 b)) 3)
(pow.f64 (pow.f64 (cos.f64 b) 3) 1/3)
(neg.f64 (neg.f64 (cos.f64 b)))
(sqrt.f64 (pow.f64 (cos.f64 b) 2))
(log.f64 (exp.f64 (cos.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 b))))
(cbrt.f64 (pow.f64 (cos.f64 b) 3))
(expm1.f64 (log1p.f64 (cos.f64 b)))
(exp.f64 (log.f64 (cos.f64 b)))
(log1p.f64 (expm1.f64 (cos.f64 b)))

Outputs
(*.f64 r b)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (.f64 r b))
(fma.f64 r b (.f64 r (.f64 1/3 (pow.f64 b 3))))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3)))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r -1/30) (.f64 r -1/6)))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 r b (.f64 (pow.f64 b 5) (*.f64 r 2/15))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (.f64 r 1/3)))) (fma.f64 -1/720 r (.f64 (.f64 r 1/3) 1/24)))) (pow.f64 b 7) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (fma.f64 r -1/720 (.f64 r 1/72)))) (pow.f64 b 7) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r -1/30) (.f64 r -1/6))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (.f64 r 2/15) (.f64 r 1/80))) (pow.f64 b 7) (fma.f64 r b (.f64 (pow.f64 b 5) (.f64 r 2/15)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 1 r)
(+.f64 (/.f64 1 r) (*.f64 -1/2 (/.f64 (pow.f64 b 2) r)))
(+.f64 (/.f64 1 r) (.f64 -1/2 (/.f64 (.f64 b b) r)))
(fma.f64 -1/2 (/.f64 b (/.f64 r b)) (/.f64 1 r))
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(/.f64 (cos.f64 b) r)
(*.f64 (/.f64 1 r) (cos.f64 b))
(/.f64 (cos.f64 b) r)
(*.f64 (neg.f64 (cos.f64 b)) (neg.f64 (/.f64 1 r)))
(/.f64 (cos.f64 b) r)
(*.f64 (neg.f64 (cos.f64 b)) (/.f64 1 (neg.f64 r)))
(/.f64 (cos.f64 b) r)
(*.f64 (sqrt.f64 (/.f64 (cos.f64 b) (neg.f64 r))) (neg.f64 (sqrt.f64 (/.f64 (cos.f64 b) (neg.f64 r)))))
(/.f64 (cos.f64 b) r)
(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 b) (neg.f64 r))) (cbrt.f64 (/.f64 (cos.f64 b) (neg.f64 r)))) (neg.f64 (cbrt.f64 (/.f64 (cos.f64 b) (neg.f64 r)))))
(/.f64 (cos.f64 b) r)
(*.f64 (/.f64 (sqrt.f64 (cos.f64 b)) r) (sqrt.f64 (cos.f64 b)))
(/.f64 (cos.f64 b) r)
(*.f64 (/.f64 (sqrt.f64 (cos.f64 b)) r) (/.f64 (sqrt.f64 (cos.f64 b)) 1))
(/.f64 (cos.f64 b) r)
(*.f64 (/.f64 (cbrt.f64 (cos.f64 b)) r) (pow.f64 (cbrt.f64 (cos.f64 b)) 2))
(/.f64 (cos.f64 b) r)
(*.f64 (/.f64 (cbrt.f64 (cos.f64 b)) r) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) 1))
(/.f64 (cos.f64 b) r)
(*.f64 (/.f64 1 (sqrt.f64 r)) (/.f64 (cos.f64 b) (sqrt.f64 r)))
(*.f64 (/.f64 (cos.f64 b) (sqrt.f64 r)) (/.f64 1 (sqrt.f64 r)))
(/.f64 (/.f64 (cos.f64 b) (sqrt.f64 r)) (sqrt.f64 r))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 r) 2)) (/.f64 (cos.f64 b) (cbrt.f64 r)))
(/.f64 (/.f64 (cos.f64 b) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r))
(*.f64 (/.f64 (cos.f64 b) 1) (/.f64 1 r))
(/.f64 (cos.f64 b) r)
(*.f64 (/.f64 (cos.f64 b) (sqrt.f64 r)) (/.f64 1 (sqrt.f64 r)))
(/.f64 (/.f64 (cos.f64 b) (sqrt.f64 r)) (sqrt.f64 r))
(*.f64 (/.f64 (cos.f64 b) (cbrt.f64 r)) (/.f64 1 (pow.f64 (cbrt.f64 r) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 r) 2)) (/.f64 (cos.f64 b) (cbrt.f64 r)))
(/.f64 (/.f64 (cos.f64 b) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r))
(*.f64 -1 (/.f64 (cos.f64 b) (neg.f64 r)))
(/.f64 (cos.f64 b) r)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 b) r))) (neg.f64 (sqrt.f64 (/.f64 (cos.f64 b) r))))
(/.f64 (cos.f64 b) r)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2)) (neg.f64 (cbrt.f64 (/.f64 (cos.f64 b) r))))
(/.f64 (cos.f64 b) r)
(*.f64 (/.f64 1 (neg.f64 r)) (neg.f64 (cos.f64 b)))
(/.f64 (cos.f64 b) r)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2) 1) (cbrt.f64 (/.f64 (cos.f64 b) r)))
(/.f64 (cos.f64 b) r)
(*.f64 (/.f64 (sqrt.f64 (cos.f64 b)) 1) (/.f64 (sqrt.f64 (cos.f64 b)) r))
(/.f64 (cos.f64 b) r)
(*.f64 (/.f64 (sqrt.f64 (cos.f64 b)) (pow.f64 (cbrt.f64 r) 2)) (/.f64 (sqrt.f64 (cos.f64 b)) (cbrt.f64 r)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 r) 2)) (/.f64 (cos.f64 b) (cbrt.f64 r)))
(/.f64 (/.f64 (cos.f64 b) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 b)) (cbrt.f64 r)) (/.f64 (sqrt.f64 (cos.f64 b)) (pow.f64 (cbrt.f64 r) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 r) 2)) (/.f64 (cos.f64 b) (cbrt.f64 r)))
(/.f64 (/.f64 (cos.f64 b) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 b)) r))
(/.f64 (cos.f64 b) r)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (sqrt.f64 r)) (/.f64 (cbrt.f64 (cos.f64 b)) (sqrt.f64 r)))
(*.f64 (/.f64 (cos.f64 b) (sqrt.f64 r)) (/.f64 1 (sqrt.f64 r)))
(/.f64 (/.f64 (cos.f64 b) (sqrt.f64 r)) (sqrt.f64 r))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 b)) (sqrt.f64 r)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (sqrt.f64 r)))
(*.f64 (/.f64 (cos.f64 b) (sqrt.f64 r)) (/.f64 1 (sqrt.f64 r)))
(/.f64 (/.f64 (cos.f64 b) (sqrt.f64 r)) (sqrt.f64 r))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 (/.f64 (cos.f64 b) r)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (pow.f64 (cbrt.f64 r) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) r) (cbrt.f64 (cos.f64 b)))
(/.f64 (cos.f64 b) r)
(*.f64 (/.f64 1 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 b)) 2))) (cbrt.f64 (cos.f64 b)))
(/.f64 (cos.f64 b) r)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 b) (neg.f64 r)))) (sqrt.f64 (/.f64 (cos.f64 b) (neg.f64 r))))
(/.f64 (cos.f64 b) r)
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 b) (neg.f64 r))) (cbrt.f64 (/.f64 (cos.f64 b) (neg.f64 r))))) (cbrt.f64 (/.f64 (cos.f64 b) (neg.f64 r))))
(/.f64 (cos.f64 b) r)
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 b) r)))) (sqrt.f64 (/.f64 (cos.f64 b) r)))
(/.f64 (cos.f64 b) r)
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 2))) (cbrt.f64 (/.f64 (cos.f64 b) r)))
(/.f64 (cos.f64 b) r)
(pow.f64 (/.f64 (cos.f64 b) r) 1)
(/.f64 (cos.f64 b) r)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 b) r)) 2)
(/.f64 (cos.f64 b) r)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) r)) 3)
(/.f64 (cos.f64 b) r)
(pow.f64 (pow.f64 (/.f64 (cos.f64 b) r) 3) 1/3)
(/.f64 (cos.f64 b) r)
(pow.f64 (/.f64 r (cos.f64 b)) -1)
(/.f64 (cos.f64 b) r)
(neg.f64 (/.f64 (cos.f64 b) (neg.f64 r)))
(/.f64 (cos.f64 b) r)
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 b) r) 2))
(fabs.f64 (/.f64 (cos.f64 b) r))
(log.f64 (exp.f64 (/.f64 (cos.f64 b) r)))
(/.f64 (cos.f64 b) r)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 b) r))))
(/.f64 (cos.f64 b) r)
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 b) r) 3))
(/.f64 (cos.f64 b) r)
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 r 3)))
(/.f64 (cos.f64 b) r)
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 b) r)))
(/.f64 (cos.f64 b) r)
(exp.f64 (log.f64 (/.f64 (cos.f64 b) r)))
(/.f64 (cos.f64 b) r)
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 b) r)))
(/.f64 (cos.f64 b) r)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 b))) 1)
(cos.f64 b)
(*.f64 (cos.f64 b) 1)
(cos.f64 b)
(*.f64 1 (cos.f64 b))
(cos.f64 b)
(*.f64 (sqrt.f64 (cos.f64 b)) (sqrt.f64 (cos.f64 b)))
(cos.f64 b)
(*.f64 (sqrt.f64 (cos.f64 b)) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 b)))))
(cos.f64 b)
(*.f64 (cbrt.f64 (cos.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 2))
(cos.f64 b)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (cbrt.f64 (cos.f64 b)))
(cos.f64 b)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (neg.f64 (neg.f64 (cbrt.f64 (cos.f64 b)))))
(cos.f64 b)
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 b))) (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 b)))))
(cos.f64 b)
(.f64 (.f64 (cbrt.f64 (neg.f64 (cos.f64 b))) (cbrt.f64 (neg.f64 (cos.f64 b)))) (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 b)))))
(cos.f64 b)
(*.f64 -1 (neg.f64 (cos.f64 b)))
(cos.f64 b)
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 b))) (neg.f64 (sqrt.f64 (cos.f64 b))))
(cos.f64 b)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (neg.f64 (cbrt.f64 (cos.f64 b))))
(cos.f64 b)
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 b)))) (sqrt.f64 (neg.f64 (cos.f64 b))))
(cos.f64 b)
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (cos.f64 b))) (cbrt.f64 (neg.f64 (cos.f64 b))))) (cbrt.f64 (neg.f64 (cos.f64 b))))
(cos.f64 b)
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 b)))) (sqrt.f64 (cos.f64 b)))
(cos.f64 b)
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2))) (cbrt.f64 (cos.f64 b)))
(cos.f64 b)
(pow.f64 (cos.f64 b) 1)
(cos.f64 b)
(pow.f64 (sqrt.f64 (cos.f64 b)) 2)
(cos.f64 b)
(pow.f64 (cbrt.f64 (cos.f64 b)) 3)
(cos.f64 b)
(pow.f64 (pow.f64 (cos.f64 b) 3) 1/3)
(cos.f64 b)
(neg.f64 (neg.f64 (cos.f64 b)))
(cos.f64 b)
(sqrt.f64 (pow.f64 (cos.f64 b) 2))
(fabs.f64 (cos.f64 b))
(log.f64 (exp.f64 (cos.f64 b)))
(cos.f64 b)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 b))))
(cos.f64 b)
(cbrt.f64 (pow.f64 (cos.f64 b) 3))
(cos.f64 b)
(expm1.f64 (log1p.f64 (cos.f64 b)))
(cos.f64 b)
(exp.f64 (log.f64 (cos.f64 b)))
(cos.f64 b)
(log1p.f64 (expm1.f64 (cos.f64 b)))
(cos.f64 b)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (*.f64 r (sin.f64 b)))
✓	0.3b	(.f64 (/.f64 1 (.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))
✓	0.3b	(pow.f64 (.f64 (/.f64 1 (.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) -1)
	2.8b	(cos.f64 (+.f64 b a))

Compiler

Compiled 51 to 19 computations (62.7% saved)

series4.0ms (0%)

Counts

3 → 96

Calls

24 calls:

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

rewrite109.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`associate-*r/`
1464×	`associate-/r*`
1364×	`associate-*l/`
326×	`add-sqr-sqrt`
316×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	77
1	319	71
2	4081	71

Stop Event

1×	node limit

Counts

3 → 288

Calls

Call 1

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

Outputs

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

simplify205.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1366×	`associate-/l/`
1104×	`times-frac`
990×	`associate-/r*`
978×	`associate-r`
826×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	801	17624
1	2165	17156

Stop Event

1×	node limit

Counts

384 → 482

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2)
	0.2b	(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
	2.8b	(cos.f64 (+.f64 b a))
✓	27.2b	(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite106.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`associate-*r/`
1598×	`associate-/r*`
1374×	`associate-*l/`
320×	`add-sqr-sqrt`
308×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	304	60
2	4063	60

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

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

Outputs

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

simplify178.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1408×	`associate-r`
1078×	`associate-*r/`
1074×	`associate-l`
1040×	`times-frac`
986×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	14974
1	1766	14182

Stop Event

1×	node limit

Counts

264 → 311

Calls

Call 1

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

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

eval461.0ms (3%)

Compiler: Compiled 34320 to 11273 computations (67.2% saved)

prune949.0ms (6.1%)

Pruning

65 alts after pruning (62 fresh and 3 done)

	Pruned	Kept	Total
New	1511	26	1537
Fresh	25	36	61
Picked	1	0	1
Done	4	3	7
Total	1541	65	1606

Error

Counts

1606 → 65

Alt Table

Click to see full alt table

Status	Error	Program
	50.7b	(pow.f64 (pow.f64 (*.f64 r (tan.f64 b)) 3) 1/3)
	0.5b	(pow.f64 (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 r (sin.f64 b))) -1)
	26.6b	(pow.f64 (/.f64 1 (*.f64 r (tan.f64 b))) -1)
	30.0b	(pow.f64 (-.f64 (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b)) (/.f64 a r)) -1)
	28.9b	(pow.f64 (-.f64 (/.f64 (/.f64 (cos.f64 a) b) r) (/.f64 (sin.f64 a) r)) -1)
	0.5b	(pow.f64 (.f64 (/.f64 1 (.f64 r (sin.f64 b))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) -1)
	27.0b	(pow.f64 (cbrt.f64 (*.f64 r (tan.f64 b))) 3)
	28.7b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 a))
	14.9b	(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 r))
	14.9b	(/.f64 (/.f64 1 (/.f64 1 r)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	15.0b	(/.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r) (/.f64 1 (sin.f64 b)))
▶	26.5b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	15.3b	(/.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 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) 1))
✓	28.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	54.3b	(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 b a)))
	30.9b	(/.f64 (*.f64 r b) (cos.f64 a))
✓	0.3b	(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))) r))
	26.8b	(/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 3) r))
▶	0.3b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
	27.8b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) r))
	41.8b	(/.f64 (sin.f64 b) (/.f64 (+.f64 1 (.f64 -1/2 (.f64 b b))) r))
	34.2b	(/.f64 (sin.f64 b) (/.f64 (fabs.f64 (cos.f64 b)) r))
	28.2b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
	26.6b	(/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 b) 3)) r))
	39.4b	(/.f64 (sin.f64 b) (/.f64 1 r))
	26.6b	(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 b)))
	39.4b	(/.f64 (sin.f64 b) (fabs.f64 (/.f64 (cos.f64 b) r)))
	45.8b	(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 b) r))))
▶	40.2b	(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))
	37.1b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
	43.2b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 a))
	0.4b	(/.f64 r (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a) (neg.f64 (sin.f64 a))))
	30.1b	(/.f64 r (fma.f64 b (*.f64 (cos.f64 a) -1/3) (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))))
	15.5b	(/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3))
	28.1b	(/.f64 r (/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (.f64 a (sin.f64 b))) (sin.f64 b)))
	0.4b	(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
	27.8b	(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) (sin.f64 b)))
	28.3b	(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
	31.0b	(/.f64 r (/.f64 (cos.f64 a) b))
	0.4b	(/.f64 r (-.f64 (/.f64 (cos.f64 b) (/.f64 (sin.f64 b) (cos.f64 a))) (/.f64 (sin.f64 b) (/.f64 (sin.f64 b) (sin.f64 a)))))
	27.8b	(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
	28.7b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
	33.0b	(/.f64 r (fabs.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
	30.9b	(/.f64 b (/.f64 (cos.f64 a) r))
	15.0b	(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	26.5b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	28.2b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
	14.8b	(*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))
	26.5b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	30.9b	(*.f64 (/.f64 b (cos.f64 a)) r)
	28.2b	(.f64 (/.f64 1 (cos.f64 a)) (.f64 r (sin.f64 b)))
▶	46.3b	(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 r b))
▶	27.0b	(.f64 (.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b)) (cbrt.f64 r))
	26.5b	(*.f64 (tan.f64 b) r)
	39.4b	(*.f64 (sin.f64 b) r)
	14.9b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (sin.f64 b))))
✓	42.2b	(*.f64 r b)
	46.1b	(sqrt.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) r) -2))
	45.5b	(sqrt.f64 (pow.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))) -2))
	46.3b	(sqrt.f64 (pow.f64 (-.f64 (/.f64 (cos.f64 a) (*.f64 b r)) (/.f64 (sin.f64 a) r)) -2))
	38.4b	(fabs.f64 (*.f64 r (tan.f64 b)))
	40.8b	(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))))
	42.2b	(exp.f64 (log.f64 (*.f64 r (tan.f64 b))))

Compiler

Compiled 1695 to 1189 computations (29.9% saved)

localize49.0ms (0.3%)

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 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r)
	0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
✓	0.2b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))

Compiler

Compiled 64 to 12 computations (81.3% saved)

series7.0ms (0%)

Counts

3 → 96

Calls

24 calls:

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

rewrite158.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1340×	`associate-/r/`
1054×	`associate-/l/`
516×	`associate-+l+`
372×	`add-sqr-sqrt`
368×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	127
1	340	55
2	5167	55

Stop Event

1×	node limit

Counts

3 → 317

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify291.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1572×	`associate-r`
1272×	`associate-l`
1138×	`associate-/l*`
1098×	`associate-/r*`
1070×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	873	25685
1	2714	25601

Stop Event

1×	node limit

Counts

413 → 522

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 a a))
✓	7.0b	(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 r b))

Compiler

Compiled 37 to 18 computations (51.4% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`unswap-sqr`
780×	`swap-sqr`
626×	`associate-*r/`
566×	`associate-*l/`
506×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	248	40
2	3045	40

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 r b))
(.f64 1/2 (.f64 a a))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 a a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 1/2 (*.f64 a a) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/2 (*.f64 a a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 a a) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 a 4) (/.f64 (fma.f64 1/2 (*.f64 a a) -1) 1/4)) (+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 a a) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (*.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 a a) 3) 1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 a a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a a) 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (*.f64 a a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 a a))))))))

simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1398×	`associate-/r*`
1124×	`distribute-lft-in`
1108×	`distribute-rgt-in`
1082×	`associate-/l/`
1020×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	5303
1	666	5013
2	2927	5009

Stop Event

1×	node limit

Counts

141 → 141

Calls

Call 1

Inputs
(*.f64 b r)
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(.f64 1/2 (.f64 (pow.f64 a 2) (*.f64 b r)))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(.f64 1/2 (.f64 (pow.f64 a 2) (*.f64 b r)))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(+.f64 (.f64 r b) (.f64 (.f64 r b) (.f64 1/2 (*.f64 a a))))
(+.f64 (.f64 r b) (.f64 (.f64 1/2 (.f64 a a)) (*.f64 r b)))
(+.f64 (.f64 r b) (.f64 1 (.f64 (.f64 r b) (.f64 1/2 (.f64 a a)))))
(+.f64 (.f64 r b) (.f64 1 (.f64 (.f64 1/2 (.f64 a a)) (.f64 r b))))
(+.f64 (.f64 r b) (.f64 (.f64 (.f64 r b) (.f64 1/2 (.f64 a a))) 1))
(+.f64 (.f64 r b) (.f64 (.f64 (.f64 1/2 (.f64 a a)) (.f64 r b)) 1))
(+.f64 (.f64 (.f64 r b) (.f64 1/2 (.f64 a a))) (*.f64 r b))
(+.f64 (.f64 (.f64 1/2 (.f64 a a)) (.f64 r b)) (*.f64 r b))
(+.f64 (.f64 1 (.f64 (.f64 r b) (.f64 1/2 (.f64 a a)))) (.f64 r b))
(+.f64 (.f64 1 (.f64 (.f64 1/2 (.f64 a a)) (.f64 r b))) (.f64 r b))
(+.f64 (.f64 (.f64 (.f64 r b) (.f64 1/2 (.f64 a a))) 1) (.f64 r b))
(+.f64 (.f64 (.f64 (.f64 1/2 (.f64 a a)) (.f64 r b)) 1) (.f64 r b))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 r b)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 r b))) (-.f64 1 (.f64 (.f64 r b) (.f64 1/2 (*.f64 a a)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 r b))) (-.f64 1 (.f64 (.f64 1/2 (.f64 a a)) (*.f64 r b))))
(-.f64 (+.f64 (.f64 (.f64 r b) (.f64 1/2 (.f64 a a))) (exp.f64 (log1p.f64 (*.f64 r b)))) 1)
(-.f64 (+.f64 (.f64 (.f64 1/2 (.f64 a a)) (.f64 r b)) (exp.f64 (log1p.f64 (*.f64 r b)))) 1)
(/.f64 (.f64 r b) (/.f64 1 (fma.f64 1/2 (.f64 a a) 1)))
(/.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1) (/.f64 (fma.f64 1/2 (.f64 a a) -1) (*.f64 r b)))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8)) (/.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (.f64 a a) -1/2))) (.f64 r b)))
(/.f64 (.f64 (.f64 r b) (+.f64 (.f64 (pow.f64 a 4) 1/4) -1)) (fma.f64 1/2 (.f64 a a) -1))
(/.f64 (.f64 (.f64 r b) (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8))) (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (*.f64 a a) -1/2))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1) (.f64 r b)) (fma.f64 1/2 (.f64 a a) -1))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8)) (.f64 r b)) (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (*.f64 a a) -1/2))))
(/.f64 (.f64 1 (.f64 (.f64 r b) (+.f64 (.f64 (pow.f64 a 4) 1/4) -1))) (fma.f64 1/2 (*.f64 a a) -1))
(/.f64 (.f64 1 (.f64 (.f64 r b) (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8)))) (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (.f64 a a) -1/2))))
(/.f64 (.f64 1 (.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1) (.f64 r b))) (fma.f64 1/2 (*.f64 a a) -1))
(/.f64 (.f64 1 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8)) (.f64 r b))) (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (.f64 a a) -1/2))))
(/.f64 (.f64 b (.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1) r)) (fma.f64 1/2 (.f64 a a) -1))
(/.f64 (.f64 b (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8)) r)) (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (*.f64 a a) -1/2))))
(/.f64 (.f64 (.f64 r b) (+.f64 1 (.f64 -1/4 (pow.f64 a 4)))) (-.f64 1 (.f64 1/2 (*.f64 a a))))
(/.f64 (.f64 (.f64 r b) (+.f64 (neg.f64 (.f64 (pow.f64 a 4) 1/4)) 1)) (-.f64 1 (.f64 1/2 (*.f64 a a))))
(/.f64 (.f64 (.f64 r b) (+.f64 -1 (neg.f64 (.f64 (pow.f64 (.f64 a a) 3) 1/8)))) (neg.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (*.f64 a a) -1/2)))))
(/.f64 (.f64 (.f64 (.f64 r b) (hypot.f64 1 (.f64 a (sqrt.f64 1/2)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1))) (sqrt.f64 (fma.f64 1/2 (.f64 a a) -1)))
(/.f64 (.f64 (.f64 (.f64 r b) (hypot.f64 1 (.f64 a (sqrt.f64 1/2)))) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8)))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (*.f64 a a) -1/2)))))
(/.f64 (.f64 (.f64 (.f64 r b) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 a a) 1)) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1))) (cbrt.f64 (fma.f64 1/2 (.f64 a a) -1)))
(/.f64 (.f64 (.f64 (.f64 r b) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 a a) 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8)))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (*.f64 a a) -1/2)))))
(/.f64 (.f64 (+.f64 1 (.f64 -1/4 (pow.f64 a 4))) (.f64 r b)) (-.f64 1 (.f64 1/2 (*.f64 a a))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (pow.f64 a 4) 1/4)) 1) (.f64 r b)) (-.f64 1 (.f64 1/2 (*.f64 a a))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (.f64 (pow.f64 (.f64 a a) 3) 1/8))) (.f64 r b)) (neg.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (*.f64 a a) -1/2)))))
(/.f64 (.f64 (.f64 (.f64 r b) (+.f64 (.f64 (pow.f64 a 4) 1/4) -1)) 1) (fma.f64 1/2 (*.f64 a a) -1))
(/.f64 (.f64 (.f64 (.f64 r b) (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8))) 1) (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (.f64 a a) -1/2))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1) (.f64 r b)) 1) (fma.f64 1/2 (*.f64 a a) -1))
(/.f64 (.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8)) (.f64 r b)) 1) (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (.f64 a a) -1/2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1)) (.f64 (hypot.f64 1 (.f64 a (sqrt.f64 1/2))) (.f64 r b))) (sqrt.f64 (fma.f64 1/2 (.f64 a a) -1)))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8))) (.f64 (hypot.f64 1 (.f64 a (sqrt.f64 1/2))) (.f64 r b))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (*.f64 a a) -1/2)))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1) r) b) (fma.f64 1/2 (.f64 a a) -1))
(/.f64 (.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8)) r) b) (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (*.f64 a a) -1/2))))
(/.f64 (/.f64 (.f64 (.f64 r b) (+.f64 (.f64 (pow.f64 a 4) 1/4) -1)) 1) (fma.f64 1/2 (.f64 a a) -1))
(/.f64 (/.f64 (.f64 (.f64 r b) (+.f64 (.f64 (pow.f64 a 4) 1/4) -1)) (sqrt.f64 (fma.f64 1/2 (.f64 a a) -1))) (sqrt.f64 (fma.f64 1/2 (*.f64 a a) -1)))
(/.f64 (/.f64 (.f64 (.f64 r b) (+.f64 (.f64 (pow.f64 a 4) 1/4) -1)) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 a a) -1)) (cbrt.f64 (fma.f64 1/2 (.f64 a a) -1)))) (cbrt.f64 (fma.f64 1/2 (*.f64 a a) -1)))
(/.f64 (/.f64 (.f64 (.f64 r b) (+.f64 (.f64 (pow.f64 a 4) 1/4) -1)) (+.f64 1 (.f64 a (sqrt.f64 1/2)))) (-.f64 (*.f64 a (sqrt.f64 1/2)) 1))
(/.f64 (/.f64 (.f64 (.f64 r b) (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8))) 1) (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (*.f64 a a) -1/2))))
(/.f64 (/.f64 (.f64 (.f64 r b) (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (.f64 a a) -1/2))))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (.f64 a a) -1/2)))))
(/.f64 (/.f64 (.f64 (.f64 r b) (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8))) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (.f64 a a) -1/2)))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (.f64 a a) -1/2)))))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (.f64 a a) -1/2)))))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1) (.f64 r b)) 1) (fma.f64 1/2 (.f64 a a) -1))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1) (.f64 r b)) (sqrt.f64 (fma.f64 1/2 (.f64 a a) -1))) (sqrt.f64 (fma.f64 1/2 (*.f64 a a) -1)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1) (.f64 r b)) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 a a) -1)) (cbrt.f64 (fma.f64 1/2 (.f64 a a) -1)))) (cbrt.f64 (fma.f64 1/2 (*.f64 a a) -1)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1) (.f64 r b)) (+.f64 1 (.f64 a (sqrt.f64 1/2)))) (-.f64 (*.f64 a (sqrt.f64 1/2)) 1))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8)) (.f64 r b)) 1) (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (*.f64 a a) -1/2))))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8)) (.f64 r b)) (sqrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (.f64 a a) -1/2))))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (.f64 a a) -1/2)))))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) 1/8)) (.f64 r b)) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (.f64 a a) -1/2)))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (.f64 a a) -1/2)))))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 a 4) 1/4) (.f64 (.f64 a a) -1/2)))))
(pow.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 r b)) 1)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 r b))) 2)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 r b))) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 r b)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 r b)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 r) b) (fma.f64 1/2 (*.f64 a a) 1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 r b)))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 r b)) 3))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 1/2 (.f64 a a) 1) 3) (pow.f64 (*.f64 r b) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 r b) 3) (pow.f64 (fma.f64 1/2 (*.f64 a a) 1) 3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 r b))))
(exp.f64 (log.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 r b))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 r b))) 1))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 r b))))
(+.f64 (.f64 1/2 (.f64 a a)) 0)
(+.f64 1 (fma.f64 1/2 (*.f64 a a) -1))
(-.f64 (fma.f64 1/2 (*.f64 a a) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 a a) 1))) 2)
(-.f64 (/.f64 (pow.f64 a 4) (/.f64 (fma.f64 1/2 (.f64 a a) -1) 1/4)) (+.f64 (/.f64 1 (fma.f64 1/2 (.f64 a a) -1)) 1))
(pow.f64 (.f64 1/2 (.f64 a a)) 1)
(pow.f64 (*.f64 a (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 a a))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 a a) 3) 1/8) 1/3)
(sqrt.f64 (*.f64 (pow.f64 a 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 a a)) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 a a)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 a a) 3) 1/8))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 a a))))
(exp.f64 (log.f64 (.f64 1/2 (.f64 a a))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 a a))) 1))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 a a))))

Outputs
(*.f64 b r)
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 1/2 (.f64 (pow.f64 a 2) (*.f64 b r)))
(.f64 r (.f64 b (.f64 1/2 (.f64 a a))))
(.f64 b (.f64 r (.f64 1/2 (.f64 a a))))
(.f64 r (.f64 (.f64 a (.f64 a b)) 1/2))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 1/2 (.f64 (pow.f64 a 2) (*.f64 b r)))
(.f64 r (.f64 b (.f64 1/2 (.f64 a a))))
(.f64 b (.f64 r (.f64 1/2 (.f64 a a))))
(.f64 r (.f64 (.f64 a (.f64 a b)) 1/2))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
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(fabs.f64 (.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1))))
(fabs.f64 (.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 r) b) (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 b (log.f64 (exp.f64 r))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 r b)))))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 r b)) 3))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 1/2 (.f64 a a) 1) 3) (pow.f64 (*.f64 r b) 3)))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(cbrt.f64 (.f64 (pow.f64 (.f64 r b) 3) (pow.f64 (fma.f64 1/2 (*.f64 a a) 1) 3)))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 r b))))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(exp.f64 (log.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 r b))))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 r b))) 1))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 r b))))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 b (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 (.f64 1/2 (.f64 a a)) 0)
(.f64 1/2 (.f64 a a))
(+.f64 1 (fma.f64 1/2 (*.f64 a a) -1))
(.f64 1/2 (.f64 a a))
(-.f64 (fma.f64 1/2 (*.f64 a a) 1) 1)
(.f64 1/2 (.f64 a a))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 a a) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 a a) 1))) -2)
(-.f64 (/.f64 (pow.f64 a 4) (/.f64 (fma.f64 1/2 (.f64 a a) -1) 1/4)) (+.f64 (/.f64 1 (fma.f64 1/2 (.f64 a a) -1)) 1))
(-.f64 (/.f64 (pow.f64 a 4) (/.f64 (fma.f64 1/2 (.f64 a a) -1) 1/4)) (+.f64 1 (/.f64 1 (fma.f64 1/2 (.f64 a a) -1))))
(fma.f64 (/.f64 (pow.f64 a 4) (fma.f64 1/2 (.f64 a a) -1)) 1/4 (neg.f64 (+.f64 1 (/.f64 1 (fma.f64 1/2 (.f64 a a) -1)))))
(fma.f64 (/.f64 (pow.f64 a 4) (fma.f64 1/2 (.f64 a a) -1)) 1/4 (-.f64 -1 (/.f64 1 (fma.f64 1/2 (.f64 a a) -1))))
(pow.f64 (.f64 1/2 (.f64 a a)) 1)
(.f64 1/2 (.f64 a a))
(pow.f64 (*.f64 a (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 a a))) 3)
(.f64 1/2 (.f64 a a))
(pow.f64 (.f64 (pow.f64 (.f64 a a) 3) 1/8) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 a a) 3) 1/8))
(cbrt.f64 (*.f64 (pow.f64 a 6) 1/8))
(sqrt.f64 (*.f64 (pow.f64 a 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 a a)) 1/2))
(.f64 1/2 (.f64 a a))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 a a)))))
(.f64 1/2 (.f64 a a))
(cbrt.f64 (.f64 (pow.f64 (.f64 a a) 3) 1/8))
(cbrt.f64 (*.f64 (pow.f64 a 6) 1/8))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 a a))))
(.f64 1/2 (.f64 a a))
(exp.f64 (log.f64 (.f64 1/2 (.f64 a a))))
(.f64 1/2 (.f64 a a))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 a a))) 1))
(.f64 1/2 (.f64 a a))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 a a))))
(.f64 1/2 (.f64 a a))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

12 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1976×	`add-sqr-sqrt`
1964×	`*-un-lft-identity`
1822×	`add-cube-cbrt`
1794×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	182	32
2	2396	32

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1572×	`associate-*r/`
1304×	`associate-/l*`
924×	`associate-*l/`
748×	`*-commutative`
742×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	1725
1	471	1611
2	1961	1559

Stop Event

1×	node limit

Counts

63 → 89

Calls

Call 1

Inputs
(*.f64 r b)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(*.f64 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 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))) 1)
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 b) r)))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 b))))
(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (cos.f64 b)))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 1)
(.f64 1 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (/.f64 1 (cos.f64 b))))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (/.f64 1 (cos.f64 b))))
(.f64 (/.f64 1 (cos.f64 b)) (.f64 (sin.f64 b) r))
(.f64 (.f64 (sin.f64 b) (neg.f64 r)) (/.f64 1 (neg.f64 (cos.f64 b))))
(.f64 (/.f64 1 (sqrt.f64 (cos.f64 b))) (/.f64 (.f64 (sin.f64 b) r) (sqrt.f64 (cos.f64 b))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (/.f64 (.f64 (sin.f64 b) r) (cbrt.f64 (cos.f64 b))))
(*.f64 (/.f64 r (sqrt.f64 (cos.f64 b))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b))) (/.f64 r (sqrt.f64 (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (/.f64 r (cbrt.f64 (cos.f64 b))))
(*.f64 (/.f64 r 1) (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 b))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (cos.f64 b)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (cbrt.f64 (cos.f64 b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (cos.f64 b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (sqrt.f64 (cos.f64 b))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (sqrt.f64 (cos.f64 b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 3) 1/3)
(pow.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)) -1)
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 b))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) r))) 1)
(pow.f64 (*.f64 (sin.f64 b) r) 1)
(pow.f64 (sqrt.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)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 b)) r))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) r))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r)))
(exp.f64 (log.f64 (*.f64 (sin.f64 b) r)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 b) r)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) r)))

Outputs
(*.f64 r b)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (.f64 r b))
(fma.f64 r b (.f64 r (.f64 1/3 (pow.f64 b 3))))
(.f64 r (+.f64 b (.f64 (pow.f64 b 3) 1/3)))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3)))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r -1/30) (.f64 r -1/6)))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 r b (.f64 (pow.f64 b 5) (*.f64 r 2/15))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (.f64 r 1/3)))) (fma.f64 -1/720 r (.f64 (.f64 r 1/3) 1/24)))) (pow.f64 b 7) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (fma.f64 r -1/720 (.f64 r 1/72)))) (pow.f64 b 7) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r -1/30) (.f64 r -1/6))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (.f64 r 2/15) (.f64 r 1/80))) (pow.f64 b 7) (fma.f64 r b (.f64 (pow.f64 b 5) (.f64 r 2/15)))))
(*.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 (.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 b (*.f64 (pow.f64 b 5) 1/120))))
(.f64 r (+.f64 (+.f64 b (.f64 -1/6 (pow.f64 b 3))) (*.f64 (pow.f64 b 5) 1/120)))
(+.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 b (.f64 (pow.f64 b 5) 1/120)))))
(.f64 r (+.f64 (+.f64 b (.f64 (pow.f64 b 5) 1/120)) (+.f64 (.f64 -1/6 (pow.f64 b 3)) (.f64 -1/5040 (pow.f64 b 7)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 b) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 1 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (/.f64 1 (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) 2))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (/.f64 1 (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (/.f64 1 (cos.f64 b)) (.f64 (sin.f64 b) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (.f64 (sin.f64 b) (neg.f64 r)) (/.f64 1 (neg.f64 (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (/.f64 1 (sqrt.f64 (cos.f64 b))) (/.f64 (.f64 (sin.f64 b) r) (sqrt.f64 (cos.f64 b))))
(.f64 (/.f64 1 (sqrt.f64 (cos.f64 b))) (/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (cos.f64 b))))
(/.f64 r (/.f64 (sqrt.f64 (cos.f64 b)) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b)))))
(*.f64 (/.f64 r (sqrt.f64 (cos.f64 b))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (/.f64 (.f64 (sin.f64 b) r) (cbrt.f64 (cos.f64 b))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 b)) r)))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (/.f64 r (cbrt.f64 (cos.f64 b))))
(*.f64 (/.f64 r (sqrt.f64 (cos.f64 b))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b))))
(.f64 (/.f64 1 (sqrt.f64 (cos.f64 b))) (/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (cos.f64 b))))
(/.f64 r (/.f64 (sqrt.f64 (cos.f64 b)) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b))) (/.f64 r (sqrt.f64 (cos.f64 b))))
(.f64 (/.f64 1 (sqrt.f64 (cos.f64 b))) (/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (cos.f64 b))))
(/.f64 r (/.f64 (sqrt.f64 (cos.f64 b)) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b)))))
(*.f64 (/.f64 r (sqrt.f64 (cos.f64 b))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (/.f64 r (cbrt.f64 (cos.f64 b))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 b)) r)))
(*.f64 (/.f64 r 1) (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 b))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 b)) r)))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (/.f64 r (cbrt.f64 (cos.f64 b))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (cbrt.f64 (cos.f64 b))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 b)) r)))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (/.f64 r (cbrt.f64 (cos.f64 b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (sqrt.f64 (cos.f64 b))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (sqrt.f64 (cos.f64 b))))
(.f64 (/.f64 1 (sqrt.f64 (cos.f64 b))) (/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (cos.f64 b))))
(/.f64 r (/.f64 (sqrt.f64 (cos.f64 b)) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b)))))
(*.f64 (/.f64 r (sqrt.f64 (cos.f64 b))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(.f64 (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)))
(pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) 2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) 3)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 3) 1/3)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(pow.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)) -1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 2))
(sqrt.f64 (pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) 2))
(fabs.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 3))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) 1))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) r))) 1)
(*.f64 r (sin.f64 b))
(pow.f64 (*.f64 (sin.f64 b) r) 1)
(*.f64 r (sin.f64 b))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) 2)
(*.f64 r (sin.f64 b))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3)
(*.f64 r (sin.f64 b))
(pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3)
(*.f64 r (sin.f64 b))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 2))
(sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2))
(fabs.f64 (*.f64 r (sin.f64 b)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 b)) r))
(*.f64 r (sin.f64 b))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) r))))
(*.f64 r (sin.f64 b))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3))
(*.f64 r (sin.f64 b))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r)))
(*.f64 r (sin.f64 b))
(exp.f64 (log.f64 (*.f64 (sin.f64 b) r)))
(*.f64 r (sin.f64 b))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 b) r)) 1))
(*.f64 r (sin.f64 b))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) r)))
(*.f64 r (sin.f64 b))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series20.0ms (0.1%)

Counts

1 → 4

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	r	@	inf	(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))
2.0ms	a	@	0	(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))
0.0ms	b	@	inf	(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))
0.0ms	b	@	0	(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))
0.0ms	r	@	-inf	(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`*-commutative`
922×	`associate-/r*`
864×	`associate-/l*`
700×	`unswap-sqr`
604×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	223	21
2	2894	21

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

Outputs

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

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1302×	`associate-*r/`
900×	`associate-/l*`
876×	`associate-*l/`
670×	`*-commutative`
580×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	2324
1	480	2132
2	1720	2050
3	7973	2050

Stop Event

1×	node limit

Counts

68 → 88

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (sin.f64 b) r))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (fabs.f64 (.f64 (sin.f64 b) r)))) (fabs.f64 (.f64 (sin.f64 b) r)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (fabs.f64 (.f64 (sin.f64 b) r)))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (fabs.f64 (.f64 (sin.f64 b) r))) (.f64 -1/4 (fabs.f64 (.f64 (sin.f64 b) r)))))) (fabs.f64 (.f64 (sin.f64 b) r))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (fabs.f64 (.f64 (sin.f64 b) r)))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (fabs.f64 (.f64 (sin.f64 b) r))) (.f64 -1/4 (fabs.f64 (.f64 (sin.f64 b) r)))))) (+.f64 (fabs.f64 (.f64 (sin.f64 b) r)) (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (fabs.f64 (.f64 (sin.f64 b) r))) (.f64 -1/4 (fabs.f64 (.f64 (sin.f64 b) r))))) (+.f64 (.f64 1/48 (fabs.f64 (.f64 (sin.f64 b) r))) (.f64 -1/720 (fabs.f64 (*.f64 (sin.f64 b) r))))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) 1)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (cos.f64 a)))
(.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 1)
(.f64 1 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))
(.f64 (sqrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a)))
(.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 2))
(.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 2) (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (/.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a)))
(.f64 (/.f64 1 (cos.f64 a)) (.f64 (sin.f64 b) r))
(.f64 (.f64 (sin.f64 b) (neg.f64 r)) (/.f64 -1 (cos.f64 a)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (cos.f64 a)) (sqrt.f64 (*.f64 (sin.f64 b) r)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (cos.f64 a)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) 1))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (cos.f64 a)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (cos.f64 a)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) 1))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 (sin.f64 b) 1))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 a)) r)) (/.f64 1 (sqrt.f64 (cos.f64 a))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 a))) (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 a)) r)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 a)) r)))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 a)) r)) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)))
(.f64 (/.f64 -1 (cos.f64 a)) (.f64 (sin.f64 b) (neg.f64 r)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (cbrt.f64 (cos.f64 a))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (cbrt.f64 (cos.f64 a))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (sqrt.f64 (cos.f64 a))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (sqrt.f64 (cos.f64 a))))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (sqrt.f64 (cos.f64 a))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) (sqrt.f64 (cos.f64 a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 a))) (/.f64 r (sqrt.f64 (cos.f64 a))))
(*.f64 (/.f64 r (sqrt.f64 (cos.f64 a))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 r (cbrt.f64 (cos.f64 a))))
(*.f64 (/.f64 r (cbrt.f64 (cos.f64 a))) (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (cos.f64 a)) (cbrt.f64 (*.f64 (sin.f64 b) r)))
(.f64 (/.f64 1 (/.f64 (cos.f64 a) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2))) (cbrt.f64 (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 a) (sin.f64 b))) r)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 3) 1/6))
(*.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 a) r) (sin.f64 b)) -1/2) (pow.f64 (/.f64 (/.f64 (cos.f64 a) r) (sin.f64 b)) -1/2))
(pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 1)
(pow.f64 (sqrt.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)
(pow.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (cos.f64 a) r) (sin.f64 b)) -1)
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 a)) r)))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 a)))
(neg.f64 (*.f64 (/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 a)) r)) 1))
(neg.f64 (.f64 (.f64 (sin.f64 b) r) (/.f64 -1 (cos.f64 a))))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 a)) r))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))

Outputs
(fabs.f64 (*.f64 (sin.f64 b) r))
(*.f64 (sin.f64 b) r)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (fabs.f64 (.f64 (sin.f64 b) r)))) (fabs.f64 (.f64 (sin.f64 b) r)))
(fma.f64 1/2 (.f64 (fabs.f64 (.f64 (sin.f64 b) r)) (.f64 a a)) (fabs.f64 (.f64 (sin.f64 b) r)))
(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (fabs.f64 (.f64 (sin.f64 b) r)))
(.f64 (.f64 (sin.f64 b) r) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (fabs.f64 (.f64 (sin.f64 b) r)))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (fabs.f64 (.f64 (sin.f64 b) r))) (.f64 -1/4 (fabs.f64 (.f64 (sin.f64 b) r)))))) (fabs.f64 (.f64 (sin.f64 b) r))))
(fma.f64 1/2 (.f64 (fabs.f64 (.f64 (sin.f64 b) r)) (.f64 a a)) (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 (fabs.f64 (.f64 (sin.f64 b) r)) -5/24)) (fabs.f64 (*.f64 (sin.f64 b) r))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (fabs.f64 (.f64 (sin.f64 b) r))) (.f64 (.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) -5/24) (neg.f64 (pow.f64 a 4))))
(fma.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) 5/24) (.f64 (.f64 (sin.f64 b) r) (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (fabs.f64 (.f64 (sin.f64 b) r)))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (fabs.f64 (.f64 (sin.f64 b) r))) (.f64 -1/4 (fabs.f64 (.f64 (sin.f64 b) r)))))) (+.f64 (fabs.f64 (.f64 (sin.f64 b) r)) (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (fabs.f64 (.f64 (sin.f64 b) r))) (.f64 -1/4 (fabs.f64 (.f64 (sin.f64 b) r))))) (+.f64 (.f64 1/48 (fabs.f64 (.f64 (sin.f64 b) r))) (.f64 -1/720 (fabs.f64 (*.f64 (sin.f64 b) r))))))))))
(fma.f64 1/2 (.f64 (fabs.f64 (.f64 (sin.f64 b) r)) (.f64 a a)) (+.f64 (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 (fabs.f64 (.f64 (sin.f64 b) r)) -5/24)) (fabs.f64 (.f64 (sin.f64 b) r))) (neg.f64 (.f64 (pow.f64 a 6) (fma.f64 1/2 (.f64 (fabs.f64 (.f64 (sin.f64 b) r)) -5/24) (.f64 (fabs.f64 (.f64 (sin.f64 b) r)) 7/360))))))
(+.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (fabs.f64 (.f64 (sin.f64 b) r))) (.f64 (.f64 (fabs.f64 (.f64 (sin.f64 b) r)) -5/24) (neg.f64 (pow.f64 a 4)))) (.f64 (fma.f64 (fabs.f64 (.f64 (sin.f64 b) r)) 7/360 (.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) -5/48)) (neg.f64 (pow.f64 a 6))))
(-.f64 (fma.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) 5/24) (.f64 (.f64 (sin.f64 b) r) (fma.f64 1/2 (.f64 a a) 1))) (.f64 (pow.f64 a 6) (.f64 (.f64 (sin.f64 b) r) -61/720)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) 1)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 1)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 1 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (sqrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 2))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2)) (pow.f64 (cbrt.f64 (cos.f64 a)) 2))
(/.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 2) (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (/.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (/.f64 1 (cos.f64 a)) (.f64 (sin.f64 b) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (.f64 (sin.f64 b) (neg.f64 r)) (/.f64 -1 (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (cos.f64 a)) (sqrt.f64 (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (cos.f64 a)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) 1))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (cos.f64 a)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (cos.f64 a)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) 1))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 (sin.f64 b) 1))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 a)) r)) (/.f64 1 (sqrt.f64 (cos.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 a)) (/.f64 r (sqrt.f64 (cos.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (.f64 (sqrt.f64 (cos.f64 a)) (sqrt.f64 (cos.f64 a))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 a))) (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 a)) r)))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 a)) r)) (/.f64 1 (sqrt.f64 (cos.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 a)) (/.f64 r (sqrt.f64 (cos.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (.f64 (sqrt.f64 (cos.f64 a)) (sqrt.f64 (cos.f64 a))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 a)) r)))
(/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (/.f64 r (cbrt.f64 (cos.f64 a)))))
(/.f64 (sin.f64 b) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (/.f64 (cbrt.f64 (cos.f64 a)) r)))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 a)) r)) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 a)) r)))
(/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (/.f64 r (cbrt.f64 (cos.f64 a)))))
(/.f64 (sin.f64 b) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (/.f64 (cbrt.f64 (cos.f64 a)) r)))
(.f64 (/.f64 -1 (cos.f64 a)) (.f64 (sin.f64 b) (neg.f64 r)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (cbrt.f64 (cos.f64 a))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 a)) r)))
(/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (/.f64 r (cbrt.f64 (cos.f64 a)))))
(/.f64 (sin.f64 b) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (/.f64 (cbrt.f64 (cos.f64 a)) r)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (cbrt.f64 (cos.f64 a))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 a)) r)))
(/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (/.f64 r (cbrt.f64 (cos.f64 a)))))
(/.f64 (sin.f64 b) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (/.f64 (cbrt.f64 (cos.f64 a)) r)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (sqrt.f64 (cos.f64 a))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (sqrt.f64 (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 a)) r)) (/.f64 1 (sqrt.f64 (cos.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 a)) (/.f64 r (sqrt.f64 (cos.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (.f64 (sqrt.f64 (cos.f64 a)) (sqrt.f64 (cos.f64 a))))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (sqrt.f64 (cos.f64 a))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) (sqrt.f64 (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 a)) r)) (/.f64 1 (sqrt.f64 (cos.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 a)) (/.f64 r (sqrt.f64 (cos.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (.f64 (sqrt.f64 (cos.f64 a)) (sqrt.f64 (cos.f64 a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2)) (pow.f64 (cbrt.f64 (cos.f64 a)) 2))
(/.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2))
(*.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 a))) (/.f64 r (sqrt.f64 (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 a)) r)) (/.f64 1 (sqrt.f64 (cos.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 a)) (/.f64 r (sqrt.f64 (cos.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (.f64 (sqrt.f64 (cos.f64 a)) (sqrt.f64 (cos.f64 a))))
(*.f64 (/.f64 r (sqrt.f64 (cos.f64 a))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 a)) r)) (/.f64 1 (sqrt.f64 (cos.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 a)) (/.f64 r (sqrt.f64 (cos.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (.f64 (sqrt.f64 (cos.f64 a)) (sqrt.f64 (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 r (cbrt.f64 (cos.f64 a))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 a)) r)))
(/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (/.f64 r (cbrt.f64 (cos.f64 a)))))
(/.f64 (sin.f64 b) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (/.f64 (cbrt.f64 (cos.f64 a)) r)))
(*.f64 (/.f64 r (cbrt.f64 (cos.f64 a))) (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 a)) r)))
(/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (/.f64 r (cbrt.f64 (cos.f64 a)))))
(/.f64 (sin.f64 b) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 a)) 2) (/.f64 (cbrt.f64 (cos.f64 a)) r)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (cos.f64 a)) (cbrt.f64 (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (/.f64 1 (/.f64 (cos.f64 a) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2))) (cbrt.f64 (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 a) (sin.f64 b))) r)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))) (cbrt.f64 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))))
(.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))))) (cbrt.f64 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 3/2))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 3) 1/6))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(*.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 a) r) (sin.f64 b)) -1/2) (pow.f64 (/.f64 (/.f64 (cos.f64 a) r) (sin.f64 b)) -1/2))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 1)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 2)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 3)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 3) 1/3)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(pow.f64 (/.f64 (/.f64 (cos.f64 a) r) (sin.f64 b)) -1)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 a)) r)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 a)) r)) 1))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(neg.f64 (.f64 (.f64 (sin.f64 b) r) (/.f64 -1 (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 a)) r))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 2))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(log.f64 (exp.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) 3))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))
✓	0.3b	(.f64 (.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b)) (cbrt.f64 r))
✓	0.6b	(pow.f64 (cbrt.f64 r) 2)
✓	0.6b	(cbrt.f64 r)

Compiler

Compiled 31 to 15 computations (51.6% saved)

series17.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	r	@	inf	(pow.f64 (cbrt.f64 r) 2)
2.0ms	r	@	0	(.f64 (.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b)) (cbrt.f64 r))
2.0ms	r	@	-inf	(.f64 (.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b)) (cbrt.f64 r))
2.0ms	b	@	inf	(.f64 (.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b)) (cbrt.f64 r))
2.0ms	b	@	inf	(*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1970×	`add-sqr-sqrt`
1950×	`*-un-lft-identity`
1806×	`add-cube-cbrt`
1776×	`add-cbrt-cube`
212×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	68
1	221	48
2	2578	48

Stop Event

1×	node limit

Counts

4 → 69

Calls

Call 1

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

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

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-+r+`
1298×	`associate-+l+`
1074×	`unswap-sqr`
790×	`associate-/r*`
758×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	1991
1	405	1979
2	1600	1893
3	6273	1893

Stop Event

1×	node limit

Counts

105 → 120

Calls

Call 1

Inputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r b)
(+.f64 (.f64 1/3 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (.f64 1/3 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 2/15 (.f64 (pow.f64 b 5) r)) (*.f64 r b)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 17/315 (.f64 (pow.f64 b 7) r)) (+.f64 (.f64 2/15 (.f64 (pow.f64 b 5) r)) (*.f64 r b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) b)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (pow.f64 b 3))) (.f64 (pow.f64 (*.f64 1 (pow.f64 r 2)) 1/3) b))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (pow.f64 b 3))) (+.f64 (.f64 2/15 (.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (pow.f64 b 5))) (.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) b)))
(+.f64 (.f64 17/315 (.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (pow.f64 b 7))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (pow.f64 b 3))) (+.f64 (.f64 2/15 (.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (pow.f64 b 5))) (.f64 (pow.f64 (*.f64 1 (pow.f64 r 2)) 1/3) b))))
(.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3))
(.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3))
(.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3))
(.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3))
(.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (/.f64 (sin.f64 b) (cos.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 r))) 1)
(*.f64 (cbrt.f64 r) 1)
(*.f64 1 (cbrt.f64 r))
(*.f64 (pow.f64 r 1/6) (pow.f64 r 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2) (cbrt.f64 (cbrt.f64 r)))
(*.f64 (cbrt.f64 (cbrt.f64 r)) (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 r (cbrt.f64 r)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 r))
(*.f64 (pow.f64 (sqrt.f64 r) 1/3) (pow.f64 (sqrt.f64 r) 1/3))
(pow.f64 r 1/3)
(pow.f64 (cbrt.f64 r) 1)
(pow.f64 (pow.f64 (cbrt.f64 r) 2) 1/2)
(pow.f64 (pow.f64 r 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 r)) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 r) 2))
(fabs.f64 (cbrt.f64 r))
(log.f64 (exp.f64 (cbrt.f64 r)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 r))))
(expm1.f64 (log1p.f64 (cbrt.f64 r)))
(exp.f64 (log.f64 (cbrt.f64 r)))
(exp.f64 (*.f64 (log.f64 r) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 r)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 r)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 r) 2))) 1)
(*.f64 (cbrt.f64 r) (cbrt.f64 r))
(*.f64 (pow.f64 (cbrt.f64 r) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 r) 2))
(*.f64 (sqrt.f64 r) (pow.f64 r 1/6))
(.f64 (pow.f64 r 1/6) (.f64 (pow.f64 r 1/6) (cbrt.f64 r)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2) (cbrt.f64 (.f64 r (cbrt.f64 r))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2) (.f64 (cbrt.f64 (cbrt.f64 r)) (cbrt.f64 r)))
(.f64 (cbrt.f64 (.f64 r (cbrt.f64 r))) (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2))
(.f64 (.f64 (cbrt.f64 r) (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2)) (cbrt.f64 (cbrt.f64 r)))
(sqrt.f64 (*.f64 r (cbrt.f64 r)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 r) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 r) 2))))
(cbrt.f64 (*.f64 r r))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 r) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 r))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 r))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 r) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 r (tan.f64 b)))) 1)
(pow.f64 (*.f64 r (tan.f64 b)) 1)
(pow.f64 (sqrt.f64 (*.f64 r (tan.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 r (tan.f64 b))) 3)
(pow.f64 (pow.f64 (*.f64 r (tan.f64 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 r (tan.f64 b)) 2))
(log.f64 (exp.f64 (*.f64 r (tan.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 r (tan.f64 b)))))
(cbrt.f64 (pow.f64 (*.f64 r (tan.f64 b)) 3))
(expm1.f64 (log1p.f64 (*.f64 r (tan.f64 b))))
(exp.f64 (log.f64 (*.f64 r (tan.f64 b))))
(exp.f64 (.f64 (log.f64 (.f64 r (tan.f64 b))) 1))
(log1p.f64 (expm1.f64 (*.f64 r (tan.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b)))) 1)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 r) 2) (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 r) 2)) (cos.f64 b))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b)) 1)
(pow.f64 (*.f64 (cbrt.f64 r) (sqrt.f64 (tan.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))) 3)
(pow.f64 (.f64 (pow.f64 (tan.f64 b) 3) (.f64 r r)) 1/3)
(sqrt.f64 (.f64 (pow.f64 (tan.f64 b) 2) (.f64 r (cbrt.f64 r))))
(log.f64 (pow.f64 (exp.f64 (tan.f64 b)) (pow.f64 (cbrt.f64 r) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b)))))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 b) 3) (.f64 r r)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))))

Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 r b)
(*.f64 b r)
(+.f64 (.f64 1/3 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(fma.f64 1/3 (.f64 r (pow.f64 b 3)) (.f64 b r))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 r (fma.f64 1/3 (pow.f64 b 3) b))
(+.f64 (.f64 1/3 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 2/15 (.f64 (pow.f64 b 5) r)) (*.f64 r b)))
(fma.f64 1/3 (.f64 r (pow.f64 b 3)) (fma.f64 2/15 (.f64 r (pow.f64 b 5)) (*.f64 b r)))
(fma.f64 1/3 (.f64 r (pow.f64 b 3)) (.f64 r (+.f64 b (*.f64 2/15 (pow.f64 b 5)))))
(.f64 r (+.f64 b (fma.f64 1/3 (pow.f64 b 3) (.f64 2/15 (pow.f64 b 5)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 17/315 (.f64 (pow.f64 b 7) r)) (+.f64 (.f64 2/15 (.f64 (pow.f64 b 5) r)) (*.f64 r b))))
(fma.f64 1/3 (.f64 r (pow.f64 b 3)) (fma.f64 17/315 (.f64 r (pow.f64 b 7)) (fma.f64 2/15 (.f64 r (pow.f64 b 5)) (.f64 b r))))
(fma.f64 1/3 (.f64 r (pow.f64 b 3)) (fma.f64 17/315 (.f64 r (pow.f64 b 7)) (.f64 r (+.f64 b (.f64 2/15 (pow.f64 b 5))))))
(.f64 r (+.f64 (fma.f64 2/15 (pow.f64 b 5) b) (fma.f64 1/3 (pow.f64 b 3) (.f64 17/315 (pow.f64 b 7)))))
(.f64 r (+.f64 (fma.f64 1/3 (pow.f64 b 3) (.f64 17/315 (pow.f64 b 7))) (fma.f64 2/15 (pow.f64 b 5) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (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 (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 (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 (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 (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 (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 (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 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) b)
(.f64 b (cbrt.f64 (.f64 r r)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (pow.f64 b 3))) (.f64 (pow.f64 (*.f64 1 (pow.f64 r 2)) 1/3) b))
(fma.f64 1/3 (.f64 (pow.f64 b 3) (cbrt.f64 (.f64 r r))) (.f64 b (cbrt.f64 (.f64 r r))))
(fma.f64 b (cbrt.f64 (.f64 r r)) (.f64 1/3 (.f64 (pow.f64 b 3) (cbrt.f64 (.f64 r r)))))
(.f64 (cbrt.f64 (.f64 r r)) (fma.f64 1/3 (pow.f64 b 3) b))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (pow.f64 b 3))) (+.f64 (.f64 2/15 (.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (pow.f64 b 5))) (.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) b)))
(fma.f64 1/3 (.f64 (pow.f64 b 3) (cbrt.f64 (.f64 r r))) (fma.f64 2/15 (.f64 (pow.f64 b 5) (cbrt.f64 (.f64 r r))) (.f64 b (cbrt.f64 (.f64 r r)))))
(fma.f64 1/3 (.f64 (pow.f64 b 3) (cbrt.f64 (.f64 r r))) (fma.f64 b (cbrt.f64 (.f64 r r)) (.f64 2/15 (.f64 (pow.f64 b 5) (cbrt.f64 (.f64 r r))))))
(fma.f64 b (cbrt.f64 (.f64 r r)) (.f64 (cbrt.f64 (.f64 r r)) (fma.f64 1/3 (pow.f64 b 3) (.f64 2/15 (pow.f64 b 5)))))
(+.f64 (.f64 17/315 (.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (pow.f64 b 7))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (pow.f64 b 3))) (+.f64 (.f64 2/15 (.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (pow.f64 b 5))) (.f64 (pow.f64 (*.f64 1 (pow.f64 r 2)) 1/3) b))))
(fma.f64 17/315 (.f64 (pow.f64 b 7) (cbrt.f64 (.f64 r r))) (fma.f64 1/3 (.f64 (pow.f64 b 3) (cbrt.f64 (.f64 r r))) (fma.f64 2/15 (.f64 (pow.f64 b 5) (cbrt.f64 (.f64 r r))) (.f64 b (cbrt.f64 (.f64 r r))))))
(fma.f64 17/315 (.f64 (pow.f64 b 7) (cbrt.f64 (.f64 r r))) (fma.f64 1/3 (.f64 (pow.f64 b 3) (cbrt.f64 (.f64 r r))) (fma.f64 b (cbrt.f64 (.f64 r r)) (.f64 2/15 (.f64 (pow.f64 b 5) (cbrt.f64 (.f64 r r)))))))
(+.f64 (.f64 (cbrt.f64 (.f64 r r)) (fma.f64 2/15 (pow.f64 b 5) b)) (.f64 (cbrt.f64 (.f64 r r)) (fma.f64 1/3 (pow.f64 b 3) (*.f64 17/315 (pow.f64 b 7)))))
(.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3))
(.f64 (cbrt.f64 (.f64 r r)) (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3))
(.f64 (cbrt.f64 (.f64 r r)) (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3))
(.f64 (cbrt.f64 (.f64 r r)) (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3))
(.f64 (cbrt.f64 (.f64 r r)) (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (cbrt.f64 (.f64 r r)) (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (cbrt.f64 (.f64 r r)) (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (cbrt.f64 (.f64 r r)) (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (pow.f64 (.f64 1 (pow.f64 r 2)) 1/3) (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (cbrt.f64 (.f64 r r)) (/.f64 (sin.f64 b) (cos.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 r))) 1)
(cbrt.f64 r)
(*.f64 (cbrt.f64 r) 1)
(cbrt.f64 r)
(*.f64 1 (cbrt.f64 r))
(cbrt.f64 r)
(*.f64 (pow.f64 r 1/6) (pow.f64 r 1/6))
(cbrt.f64 r)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2) (cbrt.f64 (cbrt.f64 r)))
(cbrt.f64 r)
(*.f64 (cbrt.f64 (cbrt.f64 r)) (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2))
(cbrt.f64 r)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 r (cbrt.f64 r)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 r (cbrt.f64 r)))) (fabs.f64 (cbrt.f64 (cbrt.f64 r))))
(.f64 (cbrt.f64 (cbrt.f64 r)) (sqrt.f64 (cbrt.f64 (.f64 r (cbrt.f64 r)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 r))
(cbrt.f64 r)
(*.f64 (pow.f64 (sqrt.f64 r) 1/3) (pow.f64 (sqrt.f64 r) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 r)) (cbrt.f64 (sqrt.f64 r)))
(pow.f64 r 1/3)
(cbrt.f64 r)
(pow.f64 (cbrt.f64 r) 1)
(cbrt.f64 r)
(pow.f64 (pow.f64 (cbrt.f64 r) 2) 1/2)
(cbrt.f64 r)
(pow.f64 (pow.f64 r 1/6) 2)
(cbrt.f64 r)
(pow.f64 (cbrt.f64 (cbrt.f64 r)) 3)
(cbrt.f64 r)
(sqrt.f64 (pow.f64 (cbrt.f64 r) 2))
(cbrt.f64 r)
(fabs.f64 (cbrt.f64 r))
(cbrt.f64 r)
(log.f64 (exp.f64 (cbrt.f64 r)))
(cbrt.f64 r)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 r))))
(cbrt.f64 r)
(expm1.f64 (log1p.f64 (cbrt.f64 r)))
(cbrt.f64 r)
(exp.f64 (log.f64 (cbrt.f64 r)))
(cbrt.f64 r)
(exp.f64 (*.f64 (log.f64 r) 1/3))
(cbrt.f64 r)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 r)) 1))
(cbrt.f64 r)
(log1p.f64 (expm1.f64 (cbrt.f64 r)))
(cbrt.f64 r)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 r) 2))) 1)
(pow.f64 (cbrt.f64 r) 2)
(*.f64 (cbrt.f64 r) (cbrt.f64 r))
(pow.f64 (cbrt.f64 r) 2)
(*.f64 (pow.f64 (cbrt.f64 r) 2) 1)
(pow.f64 (cbrt.f64 r) 2)
(*.f64 1 (pow.f64 (cbrt.f64 r) 2))
(pow.f64 (cbrt.f64 r) 2)
(*.f64 (sqrt.f64 r) (pow.f64 r 1/6))
(*.f64 (pow.f64 r 1/6) (sqrt.f64 r))
(.f64 (pow.f64 r 1/6) (.f64 (pow.f64 r 1/6) (cbrt.f64 r)))
(pow.f64 (cbrt.f64 r) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2) (cbrt.f64 (.f64 r (cbrt.f64 r))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2) (.f64 (cbrt.f64 (cbrt.f64 r)) (cbrt.f64 r)))
(pow.f64 (cbrt.f64 r) 2)
(.f64 (cbrt.f64 (.f64 r (cbrt.f64 r))) (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2) (cbrt.f64 (.f64 r (cbrt.f64 r))))
(.f64 (.f64 (cbrt.f64 r) (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2)) (cbrt.f64 (cbrt.f64 r)))
(pow.f64 (cbrt.f64 r) 2)
(sqrt.f64 (*.f64 r (cbrt.f64 r)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 r) 2)))
(pow.f64 (cbrt.f64 r) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 r) 2))))
(pow.f64 (cbrt.f64 r) 2)
(cbrt.f64 (*.f64 r r))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 r) 2)))
(pow.f64 (cbrt.f64 r) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 r))))
(pow.f64 (cbrt.f64 r) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 r))) 1))
(pow.f64 (cbrt.f64 r) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 r) 2)))
(pow.f64 (cbrt.f64 r) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 r (tan.f64 b)))) 1)
(*.f64 r (tan.f64 b))
(pow.f64 (*.f64 r (tan.f64 b)) 1)
(*.f64 r (tan.f64 b))
(pow.f64 (sqrt.f64 (*.f64 r (tan.f64 b))) 2)
(*.f64 r (tan.f64 b))
(pow.f64 (cbrt.f64 (*.f64 r (tan.f64 b))) 3)
(*.f64 r (tan.f64 b))
(pow.f64 (pow.f64 (*.f64 r (tan.f64 b)) 3) 1/3)
(*.f64 r (tan.f64 b))
(sqrt.f64 (pow.f64 (*.f64 r (tan.f64 b)) 2))
(*.f64 r (tan.f64 b))
(log.f64 (exp.f64 (*.f64 r (tan.f64 b))))
(*.f64 r (tan.f64 b))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 r (tan.f64 b)))))
(*.f64 r (tan.f64 b))
(cbrt.f64 (pow.f64 (*.f64 r (tan.f64 b)) 3))
(*.f64 r (tan.f64 b))
(expm1.f64 (log1p.f64 (*.f64 r (tan.f64 b))))
(*.f64 r (tan.f64 b))
(exp.f64 (log.f64 (*.f64 r (tan.f64 b))))
(*.f64 r (tan.f64 b))
(exp.f64 (.f64 (log.f64 (.f64 r (tan.f64 b))) 1))
(*.f64 r (tan.f64 b))
(log1p.f64 (expm1.f64 (*.f64 r (tan.f64 b))))
(*.f64 r (tan.f64 b))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b)))) 1)
(*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 r) 2) (sin.f64 b)) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (pow.f64 (cbrt.f64 r) 2)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (cbrt.f64 r) 2))
(*.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 r) 2) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 r) 2)) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (pow.f64 (cbrt.f64 r) 2)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (cbrt.f64 r) 2))
(*.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 r) 2) (cos.f64 b)))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b)) 1)
(*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))
(pow.f64 (*.f64 (cbrt.f64 r) (sqrt.f64 (tan.f64 b))) 2)
(*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))) 3)
(*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))
(pow.f64 (.f64 (pow.f64 (tan.f64 b) 3) (.f64 r r)) 1/3)
(cbrt.f64 (.f64 (.f64 r r) (pow.f64 (tan.f64 b) 3)))
(cbrt.f64 (.f64 r (.f64 r (pow.f64 (tan.f64 b) 3))))
(sqrt.f64 (.f64 (pow.f64 (tan.f64 b) 2) (.f64 r (cbrt.f64 r))))
(sqrt.f64 (.f64 (.f64 r (cbrt.f64 r)) (pow.f64 (tan.f64 b) 2)))
(sqrt.f64 (.f64 r (.f64 (cbrt.f64 r) (pow.f64 (tan.f64 b) 2))))
(log.f64 (pow.f64 (exp.f64 (tan.f64 b)) (pow.f64 (cbrt.f64 r) 2)))
(*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b)))))
(*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 b) 3) (.f64 r r)))
(cbrt.f64 (.f64 (.f64 r r) (pow.f64 (tan.f64 b) 3)))
(cbrt.f64 (.f64 r (.f64 r (pow.f64 (tan.f64 b) 3))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))))
(*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))))
(*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))) 1))
(*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))))
(*.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b))

eval467.0ms (3%)

Compiler: Compiled 27985 to 9149 computations (67.3% saved)

prune547.0ms (3.5%)

Pruning

74 alts after pruning (66 fresh and 8 done)

	Pruned	Kept	Total
New	1161	14	1175
Fresh	5	52	57
Picked	0	1	1
Done	0	7	7
Total	1166	74	1240

Error

Counts

1240 → 74

Alt Table

Click to see full alt table

Status	Error	Program
	50.7b	(pow.f64 (pow.f64 (*.f64 r (tan.f64 b)) 3) 1/3)
	0.5b	(pow.f64 (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 r (sin.f64 b))) -1)
	26.6b	(pow.f64 (/.f64 1 (*.f64 r (tan.f64 b))) -1)
	30.0b	(pow.f64 (-.f64 (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b)) (/.f64 a r)) -1)
	28.9b	(pow.f64 (-.f64 (/.f64 (/.f64 (cos.f64 a) b) r) (/.f64 (sin.f64 a) r)) -1)
	0.5b	(pow.f64 (.f64 (/.f64 1 (.f64 r (sin.f64 b))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) -1)
	27.0b	(pow.f64 (cbrt.f64 (*.f64 r (tan.f64 b))) 3)
	28.7b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 a))
	14.9b	(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 r))
	14.9b	(/.f64 (/.f64 1 (/.f64 1 r)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	15.0b	(/.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r) (/.f64 1 (sin.f64 b)))
	41.8b	(/.f64 (.f64 (sin.f64 b) r) (+.f64 1 (.f64 -1/2 (*.f64 b b))))
✓	26.5b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	15.3b	(/.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 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) 1))
✓	28.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	54.3b	(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 b a)))
	30.9b	(/.f64 (*.f64 r b) (cos.f64 a))
✓	0.3b	(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))) r))
	26.8b	(/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 3) r))
✓	0.3b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
	0.4b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3))) r))
	27.8b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) r))
	34.2b	(/.f64 (sin.f64 b) (/.f64 (fabs.f64 (cos.f64 b)) r))
	28.2b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
	26.6b	(/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 b) 3)) r))
	39.4b	(/.f64 (sin.f64 b) (/.f64 1 r))
	0.3b	(/.f64 (sin.f64 b) (-.f64 (.f64 (/.f64 (cos.f64 b) r) (cos.f64 a)) (.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))))
	26.6b	(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 b)))
	39.4b	(/.f64 (sin.f64 b) (fabs.f64 (/.f64 (cos.f64 b) r)))
	28.8b	(/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
	45.8b	(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 b) r))))
	40.4b	(/.f64 (fabs.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3)) (cos.f64 a))
✓	40.2b	(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))
	38.8b	(/.f64 (fabs.f64 (*.f64 r (sin.f64 b))) (cos.f64 b))
	42.0b	(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))) (cos.f64 b))
	43.2b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 a))
	0.4b	(/.f64 r (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a) (neg.f64 (sin.f64 a))))
	30.1b	(/.f64 r (fma.f64 b (*.f64 (cos.f64 a) -1/3) (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))))
	15.5b	(/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3))
	28.1b	(/.f64 r (/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (.f64 a (sin.f64 b))) (sin.f64 b)))
	0.4b	(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
	27.8b	(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) (sin.f64 b)))
	28.3b	(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
	31.0b	(/.f64 r (/.f64 (cos.f64 a) b))
	27.8b	(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
	28.7b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
	33.0b	(/.f64 r (fabs.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
	30.9b	(/.f64 b (/.f64 (cos.f64 a) r))
	15.0b	(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	26.5b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	28.2b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
	14.8b	(*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))
	26.5b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	30.9b	(*.f64 (/.f64 b (cos.f64 a)) r)
	28.2b	(.f64 (/.f64 1 (cos.f64 a)) (.f64 (sin.f64 b) r))
✓	46.3b	(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 r b))
	44.2b	(.f64 (.f64 (pow.f64 (pow.f64 r 1/3) 2) (tan.f64 b)) (cbrt.f64 r))
	38.0b	(.f64 (.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b)) (fabs.f64 (cbrt.f64 r)))
✓	27.0b	(.f64 (.f64 (pow.f64 (cbrt.f64 r) 2) (tan.f64 b)) (cbrt.f64 r))
	26.5b	(*.f64 (tan.f64 b) r)
	39.4b	(*.f64 (sin.f64 b) r)
	0.4b	(.f64 r (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 r (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (sin.f64 a) (.f64 r (sin.f64 b))))))
	58.7b	(.f64 r (.f64 (.f64 a (.f64 a b)) 1/2))
✓	42.2b	(*.f64 r b)
	58.8b	(.f64 b (.f64 r (.f64 1/2 (.f64 a a))))
	46.1b	(sqrt.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) r) -2))
	45.5b	(sqrt.f64 (pow.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))) -2))
	46.3b	(sqrt.f64 (pow.f64 (-.f64 (/.f64 (cos.f64 a) (*.f64 b r)) (/.f64 (sin.f64 a) r)) -2))
	44.1b	(fabs.f64 (*.f64 (sin.f64 b) r))
	38.4b	(fabs.f64 (*.f64 r (tan.f64 b)))
	40.8b	(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))))
	42.2b	(exp.f64 (log.f64 (*.f64 r (tan.f64 b))))

Compiler

Compiled 994 to 696 computations (30% saved)

regimes286.0ms (1.8%)

Counts

128 → 1

Calls

Call 1

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

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

Calls

4 calls:

71.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
65.0ms	r
59.0ms	a
57.0ms	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 1488 to 484 computations (67.5% saved)

regimes261.0ms (1.7%)

Counts

117 → 1

Calls

Call 1

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

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

Calls

4 calls:

80.0ms	r
52.0ms	a
51.0ms	b
50.0ms	(/.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 1218 to 410 computations (66.3% saved)

regimes367.0ms (2.4%)

Counts

115 → 1

Calls

Call 1

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

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

Calls

4 calls:

105.0ms	a
97.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
85.0ms	b
53.0ms	r

Results

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

Compiler

Compiled 1178 to 401 computations (66% saved)

regimes375.0ms (2.4%)

Counts

112 → 1

Calls

Call 1

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

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

Calls

4 calls:

118.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
109.0ms	a
50.0ms	r
50.0ms	b

Results

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

Compiler

Compiled 1130 to 393 computations (65.2% saved)

regimes417.0ms (2.7%)

Counts

111 → 1

Calls

Call 1

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

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

Calls

4 calls:

124.0ms	a
91.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
90.0ms	b
55.0ms	r

Results

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

Compiler

Compiled 1114 to 388 computations (65.2% saved)

regimes249.0ms (1.6%)

Counts

110 → 1

Calls

Call 1

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

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

Calls

4 calls:

69.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
55.0ms	b
49.0ms	a
49.0ms	r

Results

Error	Segments	Branch
14.8b	1	`r`
14.8b	1	`a`
14.8b	1	`b`
14.8b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 1101 to 385 computations (65% saved)

regimes238.0ms (1.5%)

Counts

32 → 3

Calls

Call 1

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

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

Calls

3 calls:

104.0ms	b
87.0ms	a
41.0ms	r

Results

Error	Segments	Branch
24.9b	2	`r`
15.1b	3	`a`
15.0b	3	`b`

Compiler

Compiled 248 to 100 computations (59.7% saved)

bsearch99.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	7939899438.413577	55126965561401930.0
43.0ms	-4128709036782.998	-1150.3678521705078

Results

46.0ms	76×	body	1024	valid
31.0ms	173×	body	256	valid
14.0ms	38×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 360 to 265 computations (26.4% saved)

regimes110.0ms (0.7%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	a
32.0ms	b
31.0ms	r

Results

Error	Segments	Branch
24.8b	3	`r`
16.4b	3	`a`
15.1b	3	`b`

Compiler

Compiled 166 to 76 computations (54.2% saved)

bsearch105.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	52.23248573570824	3882.535890249641
44.0ms	-4128709036782.998	-1150.3678521705078

Results

55.0ms	157×	body	256	valid
31.0ms	63×	body	1024	valid
11.0ms	33×	body	512	valid
4.0ms	3×	body	2048	valid

Compiler

Compiled 306 to 221 computations (27.8% saved)

regimes67.0ms (0.4%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	a
15.0ms	b
6.0ms	r

Results

Error	Segments	Branch
26.5b	1	`r`
16.4b	3	`a`
15.1b	3	`b`

Compiler

Compiled 61 to 35 computations (42.6% saved)

bsearch115.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	52.23248573570824	3882.535890249641
77.0ms	-4128709036782.998	-1150.3678521705078

Results

72.0ms	76×	body	1024	valid
28.0ms	147×	body	256	valid
9.0ms	30×	body	512	valid
2.0ms	3×	body	2048	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 306 to 221 computations (27.8% saved)

regimes54.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

41.0ms	r
6.0ms	b
5.0ms	a

Results

Error	Segments	Branch
26.5b	1	`r`
26.5b	1	`a`
26.5b	1	`b`

Compiler

Compiled 55 to 32 computations (41.8% saved)

regimes16.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	a
4.0ms	b
4.0ms	r

Results

Error	Segments	Branch
39.4b	1	`r`
39.4b	1	`a`
39.4b	1	`b`

Compiler

Compiled 51 to 30 computations (41.2% saved)

regimes13.0ms (0.1%)

Accuracy

Total -16.8b remaining (-39.9%)

Threshold costs -16.8b (-39.9%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 r b)

Calls

3 calls:

4.0ms	b
4.0ms	a
4.0ms	r

Results

Error	Segments	Branch
42.2b	1	`r`
42.2b	1	`a`
42.2b	1	`b`

Compiler

Compiled 47 to 28 computations (40.4% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative`
22×	`+-commutative`
14×	`sub-neg`
12×	`neg-mul-1`
12×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	470
1	100	470
2	122	470
3	133	470
4	138	470

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))) r))
(/.f64 (sin.f64 b) (-.f64 (.f64 (/.f64 (cos.f64 b) r) (cos.f64 a)) (.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
(/.f64 r (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a) (neg.f64 (sin.f64 a))))
(*.f64 (/.f64 r (cos.f64 (-.f64 b a))) (sin.f64 b))
(if (<=.f64 b -1200) (.f64 (tan.f64 b) r) (if (<=.f64 b 8000000000) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) (*.f64 (tan.f64 b) r)))
(if (<=.f64 b -1200) (.f64 (tan.f64 b) r) (if (<=.f64 b 53) (.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (tan.f64 b) r)))
(if (<=.f64 b -1200) (.f64 (tan.f64 b) r) (if (<=.f64 b 53) (.f64 (/.f64 b (cos.f64 a)) r) (*.f64 (tan.f64 b) r)))
(*.f64 (tan.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 r b)

Outputs
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))) r))
(/.f64 (sin.f64 b) (-.f64 (.f64 (/.f64 (cos.f64 b) r) (cos.f64 a)) (.f64 (/.f64 (sin.f64 a) r) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (/.f64 (cos.f64 b) r)) (.f64 (sin.f64 b) (/.f64 (sin.f64 a) r))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
(/.f64 r (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a) (neg.f64 (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))))
(if (<=.f64 b -1200) (.f64 (tan.f64 b) r) (if (<=.f64 b 8000000000) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) (*.f64 (tan.f64 b) r)))
(if (or (<=.f64 b -1200) (not (<=.f64 b 8000000000))) (.f64 r (tan.f64 b)) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))))
(if (<=.f64 b -1200) (.f64 (tan.f64 b) r) (if (<=.f64 b 53) (.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (tan.f64 b) r)))
(if (or (<=.f64 b -1200) (not (<=.f64 b 53))) (.f64 r (tan.f64 b)) (.f64 b (/.f64 r (cos.f64 a))))
(if (<=.f64 b -1200) (.f64 (tan.f64 b) r) (if (<=.f64 b 53) (.f64 (/.f64 b (cos.f64 a)) r) (*.f64 (tan.f64 b) r)))
(if (or (<=.f64 b -1200) (not (<=.f64 b 53))) (.f64 r (tan.f64 b)) (.f64 r (/.f64 b (cos.f64 a))))
(*.f64 (tan.f64 b) r)
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 r b)
(*.f64 b r)

Compiler

Compiled 193 to 128 computations (33.7% saved)

soundness1.1s (7.4%)

Algorithm

1×	egg-herbie

Rules

806×	`times-frac`
742×	`associate-r`
722×	`associate-/l*`
706×	`associate-/r*`
564×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	572	7785
1	1580	7785

Stop Event

1×	node limit

Compiler

Compiled 83 to 27 computations (67.5% saved)

end113.0ms (0.7%)

Compiler: Compiled 160 to 63 computations (60.6% saved)