Details

analyze448.0ms (2.9%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.4s (21.5%)

Results

1.8s	3626×	body	1024	valid
858.0ms	3010×	body	256	valid
537.0ms	1419×	body	512	valid
179.0ms	201×	body	2048	valid
1.0ms	2×	body	1024	infinite
0.0ms	1×	body	256	infinite

Bogosity

preprocess6.0ms (0%)

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)

simplify11.0ms (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

12.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.6b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
▶	12.6b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize33.0ms (0.2%)

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)))
✓	3.4b	(cos.f64 (+.f64 b a))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series11.0ms (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)))

rewrite128.0ms (0.8%)

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))))))))

simplify131.0ms (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))

localize12.0ms (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)))
✓	3.4b	(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	b	@	0	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
0.0ms	a	@	0	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
0.0ms	b	@	0	(*.f64 r (sin.f64 b))
0.0ms	r	@	-inf	(*.f64 r (sin.f64 b))

rewrite85.0ms (0.5%)

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))))))))

simplify140.0ms (0.9%)

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)

eval146.0ms (0.9%)

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

prune212.0ms (1.4%)

Pruning

46 alts after pruning (44 fresh and 2 done)

	Pruned	Kept	Total
New	431	44	475
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	431	46	477

Error

0.0b

Counts

477 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	12.7b	(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
	13.3b	(pow.f64 (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) 3)
	24.8b	(/.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)))))
	29.3b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) 2))
	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	26.2b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
	12.8b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 a b)))))
	29.3b	(/.f64 (*.f64 r (sin.f64 b)) (exp.f64 (log.f64 (cos.f64 (+.f64 a b)))))
✓	12.6b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
▶	26.7b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	12.7b	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3)))
	29.1b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
	29.3b	(/.f64 (*.f64 b r) (cos.f64 a))
	24.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	21.1b	(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
	35.8b	(/.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))))
▶	12.6b	(/.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) -1))
▶	13.2b	(/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3))
	12.9b	(/.f64 r (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3) (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)))
✓	12.6b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	24.8b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
	26.7b	(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
	29.3b	(/.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)))))
	26.2b	(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
	27.6b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
	0.4b	(/.f64 r (.f64 (/.f64 1 (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
	12.6b	(/.f64 r (*.f64 (/.f64 1 (sin.f64 b)) (cos.f64 (+.f64 b a))))
	35.5b	(/.f64 r (log1p.f64 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
	30.1b	(/.f64 r (fabs.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
	29.3b	(/.f64 b (/.f64 (cos.f64 a) r))
	0.4b	(.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)))))
	0.4b	(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.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))))
	24.8b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	24.8b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
▶	29.3b	(*.f64 (/.f64 r (cos.f64 a)) b)
	12.6b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	0.5b	(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 a) 2)) (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (sin.f64 b))))) (/.f64 r (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)) (sin.f64 b))))
	12.6b	(.f64 r (.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (cos.f64 (+.f64 b a)))))
	31.5b	(fabs.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))
	31.5b	(fabs.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
	34.6b	(exp.f64 (log.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))

Compiler

Compiled 1406 to 912 computations (35.1% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 56 to 12 computations (78.6% saved)

series14.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	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	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)))))

rewrite96.0ms (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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simplify88.0ms (0.6%)

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))

localize12.0ms (0.1%)

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	r	@	0	(*.f64 (/.f64 r (cos.f64 a)) b)
1.0ms	a	@	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)))))))

simplify55.0ms (0.4%)

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)))

localize11.0ms (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)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite64.0ms (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))))))))

simplify90.0ms (0.6%)

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)))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 43 to 13 computations (69.8% saved)

series11.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`associate-*l/`
1356×	`associate-/l*`
562×	`associate-/r/`
552×	`distribute-lft-in`
304×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	287	69
2	3927	69

Stop Event

1×	node limit

Counts

3 → 232

Calls

Call 1

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

Outputs

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

simplify125.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1390×	`associate-r`
1026×	`associate-l`
960×	`associate-/l*`
918×	`*-commutative`
644×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	723	14850
1	2110	14480

Stop Event

1×	node limit

Counts

316 → 397

Calls

Call 1

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3))
✓	0.5b	(cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3)
	3.4b	(cos.f64 (+.f64 b a))

Compiler

Compiled 53 to 14 computations (73.6% saved)

series28.0ms (0.2%)

Counts

3 → 76

Calls

21 calls:

Time	Variable		Point	Expression
11.0ms	a	@	0	(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3)
3.0ms	b	@	0	(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3)
2.0ms	b	@	inf	(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3)
2.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3)
2.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3)

rewrite157.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`associate-*l/`
1718×	`associate-/l*`
722×	`associate-/r/`
306×	`add-sqr-sqrt`
296×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	309	73
2	4048	73

Stop Event

1×	node limit

Counts

3 → 253

Calls

Call 1

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

Outputs

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

simplify148.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1308×	`associate-r`
1056×	`associate-/l*`
940×	`associate-l`
934×	`times-frac`
908×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	744	16407
1	2103	16197

Stop Event

1×	node limit

Counts

329 → 414

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (pow.f64 1 1/3))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (pow.f64 1 1/3))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (pow.f64 1 1/3))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (pow.f64 1 1/3))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) (sin.f64 b)))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) (sin.f64 b)))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) (sin.f64 b)))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) (sin.f64 b)))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (pow.f64 1 1/3))
(/.f64 (cos.f64 b) (sin.f64 b))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (/.f64 (.f64 1 (pow.f64 (cos.f64 b) 4)) (pow.f64 (sin.f64 b) 4)) 1/9)) (.f64 -2/3 (pow.f64 (/.f64 (.f64 1 (pow.f64 (cos.f64 b) 4)) (pow.f64 (sin.f64 b) 4)) 1/9))) a) (.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (pow.f64 1 1/3)))
(fma.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 b) 4) (pow.f64 (sin.f64 b) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 b) 4) (pow.f64 (sin.f64 b) 4)) 1/18)) -1) a (/.f64 (cos.f64 b) (sin.f64 b)))
(fma.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 b) 4) (pow.f64 (sin.f64 b) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 b) 4) (pow.f64 (sin.f64 b) 4)) 1/18))) a (/.f64 (cos.f64 b) (sin.f64 b)))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (/.f64 (.f64 1 (pow.f64 (cos.f64 b) 4)) (pow.f64 (sin.f64 b) 4)) 1/9)) (.f64 -2/3 (pow.f64 (/.f64 (.f64 1 (pow.f64 (cos.f64 b) 4)) (pow.f64 (sin.f64 b) 4)) 1/9))) a) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2/9 (pow.f64 (/.f64 (.f64 (sin.f64 b) 1) (cos.f64 b)) 1/9)) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (/.f64 (cos.f64 b) (sin.f64 b))) (.f64 1/3 (pow.f64 (/.f64 (.f64 (sin.f64 b) 1) (cos.f64 b)) 1/9))))) (.f64 (pow.f64 (/.f64 (.f64 1 (cos.f64 b)) (sin.f64 b)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) 1) (cos.f64 b)) 1/3) (-.f64 (.f64 -1/2 (/.f64 (cos.f64 b) (sin.f64 b))) (.f64 1/3 (pow.f64 (/.f64 (.f64 (sin.f64 b) 1) (cos.f64 b)) 1/9))))) (.f64 1/9 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 4) 1) (pow.f64 (cos.f64 b) 4)) 1/9))))))) (.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (pow.f64 1 1/3))))
(fma.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 b) 4) (pow.f64 (sin.f64 b) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 b) 4) (pow.f64 (sin.f64 b) 4)) 1/18)) -1) a (fma.f64 (.f64 a a) (fma.f64 2/9 (.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 1/18) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 1/18)) (+.f64 (.f64 1/3 (+.f64 (.f64 (/.f64 (cos.f64 b) (sin.f64 b)) -1/2) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 1/18) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 1/18))))) (.f64 (cbrt.f64 (/.f64 (cos.f64 b) (sin.f64 b))) (fma.f64 2/3 (.f64 (+.f64 (.f64 (/.f64 (cos.f64 b) (sin.f64 b)) -1/2) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 1/18) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 1/18)))) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) (.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 b) 4) (pow.f64 (cos.f64 b) 4)) 1/18))))))) (/.f64 (cos.f64 b) (sin.f64 b))))
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(*.f64 (/.f64 r -1) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.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 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) (neg.f64 (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 1 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (pow.f64 (cbrt.f64 r) 2))) (cbrt.f64 r))
(.f64 (pow.f64 (cbrt.f64 r) 2) (.f64 (sin.f64 b) (/.f64 (cbrt.f64 r) (cos.f64 (+.f64 a b)))))
(.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (.f64 (cbrt.f64 r) (pow.f64 (cbrt.f64 r) 2)))
(*.f64 (/.f64 (neg.f64 r) (neg.f64 (cos.f64 (+.f64 b a)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (neg.f64 r) -1) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (neg.f64 r) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) (neg.f64 (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1) (/.f64 (sin.f64 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 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 1 (sqrt.f64 (sin.f64 b)))) (sqrt.f64 (sin.f64 b)))
(.f64 (sqrt.f64 (sin.f64 b)) (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sqrt.f64 (sin.f64 b))))
(/.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 (sin.f64 b))))
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 b)) 2))) (cbrt.f64 (sin.f64 b)))
(.f64 (cbrt.f64 (sin.f64 b)) (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (cbrt.f64 (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) -1) (neg.f64 (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 r (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (/.f64 r (.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))))
(*.f64 (/.f64 r (cbrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))))
(*.f64 (/.f64 (/.f64 r (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) (cbrt.f64 (sin.f64 b)))) (cbrt.f64 (sin.f64 b)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (/.f64 r (.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2)))))
(*.f64 (/.f64 r (cbrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))))
(.f64 (/.f64 (/.f64 r (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) (cbrt.f64 (sin.f64 b)))
(.f64 (cbrt.f64 (sin.f64 b)) (/.f64 r (.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) 2) (cbrt.f64 (cos.f64 (+.f64 a b))))))
(*.f64 (cbrt.f64 (sin.f64 b)) (/.f64 (/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) 2)) (cbrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (/.f64 r 1) (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 r 1) 1) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 r 1) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (sqrt.f64 (cos.f64 (+.f64 a b)))) (sqrt.f64 (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 r 1) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (+.f64 b a)))))
(*.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 r (/.f64 (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (+.f64 a b)))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2))))
(*.f64 (/.f64 (/.f64 r 1) (neg.f64 (cos.f64 (+.f64 b a)))) (neg.f64 (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 r 1) (/.f64 (cos.f64 (+.f64 b a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))) (cbrt.f64 (sin.f64 b)))
(.f64 (cbrt.f64 (sin.f64 b)) (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) (.f64 (cbrt.f64 (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))
(.f64 (/.f64 (/.f64 r 1) (.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))) (cbrt.f64 (sin.f64 b)))
(.f64 (cbrt.f64 (sin.f64 b)) (/.f64 r (.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) 2) (cbrt.f64 (cos.f64 (+.f64 a b))))))
(*.f64 (cbrt.f64 (sin.f64 b)) (/.f64 (/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) 2)) (cbrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (/.f64 r 1) (/.f64 (cos.f64 (+.f64 b a)) 1)) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 r 1) (/.f64 (cos.f64 (+.f64 b a)) (sqrt.f64 (sin.f64 b)))) (sqrt.f64 (sin.f64 b)))
(.f64 (sqrt.f64 (sin.f64 b)) (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sqrt.f64 (sin.f64 b))))
(/.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 (sin.f64 b))))
(*.f64 (/.f64 (/.f64 r 1) -1) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 r 1) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) (neg.f64 (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 r (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 1) (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
(*.f64 (/.f64 (/.f64 r (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (sqrt.f64 (cos.f64 (+.f64 b a)))) (sqrt.f64 (sin.f64 b)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
(*.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (/.f64 r (sqrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) (sqrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (/.f64 r (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 b a))))) (sqrt.f64 (neg.f64 (sin.f64 b))))
(.f64 (sqrt.f64 (neg.f64 (sin.f64 b))) (/.f64 r (.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 a b)))))))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 b))) (/.f64 (/.f64 r (sqrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 a b))))))
(*.f64 (/.f64 (/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2)) (cbrt.f64 (cos.f64 (+.f64 b a)))) (cbrt.f64 (sin.f64 b)))
(.f64 (cbrt.f64 (sin.f64 b)) (/.f64 r (.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) 2) (cbrt.f64 (cos.f64 (+.f64 a b))))))
(*.f64 (cbrt.f64 (sin.f64 b)) (/.f64 (/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) 2)) (cbrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2)) (cbrt.f64 (neg.f64 (cos.f64 (+.f64 b a))))) (cbrt.f64 (neg.f64 (sin.f64 b))))
(.f64 (cbrt.f64 (neg.f64 (sin.f64 b))) (/.f64 r (.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) 2) (cbrt.f64 (neg.f64 (cos.f64 (+.f64 a b)))))))
(/.f64 (/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) 2)) (/.f64 (cbrt.f64 (neg.f64 (cos.f64 (+.f64 a b)))) (cbrt.f64 (neg.f64 (sin.f64 b)))))
(*.f64 (/.f64 (/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (+.f64 b a))))) (neg.f64 (cbrt.f64 (sin.f64 b))))
(.f64 (cbrt.f64 (sin.f64 b)) (/.f64 r (.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) 2) (cbrt.f64 (cos.f64 (+.f64 a b))))))
(*.f64 (cbrt.f64 (sin.f64 b)) (/.f64 (/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) 2)) (cbrt.f64 (cos.f64 (+.f64 a b)))))
(pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(pow.f64 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 3)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(pow.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3) 1/3)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(neg.f64 (*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))
(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 a b)))) 2))
(log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (log.f64 (exp.f64 r)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(cbrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(expm1.f64 (log1p.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(exp.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 1))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(log1p.f64 (expm1.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))

eval476.0ms (3.1%)

Compiler: Compiled 34402 to 11969 computations (65.2% saved)

prune625.0ms (4%)

Pruning

64 alts after pruning (62 fresh and 2 done)

	Pruned	Kept	Total
New	1425	39	1464
Fresh	16	23	39
Picked	1	0	1
Done	4	2	6
Total	1446	64	1510

Error

Counts

1510 → 64

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.8b	(pow.f64 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) -1)
▶	13.3b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
	29.7b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
	27.2b	(/.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))))
▶	24.8b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (/.f64 (/.f64 (-.f64 0 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 2)) (sin.f64 a)) (neg.f64 (sin.f64 b))))))
	31.7b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (/.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)))))))))
	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)))))
	29.4b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (-.f64 b a))) 2))
	13.0b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 b a))) 3))
	26.2b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
	0.4b	(/.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))
✓	12.6b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
	12.8b	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 3)))
	29.1b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
	29.3b	(/.f64 (*.f64 r b) (cos.f64 a))
	44.2b	(/.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 2)) (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))
	24.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	26.7b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
	38.7b	(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))
	21.1b	(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
	42.0b	(/.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))))
	43.4b	(/.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 b) (sin.f64 b)) 1/3) 3))
	0.4b	(/.f64 r (pow.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) -1))
	29.3b	(/.f64 r (pow.f64 (/.f64 b (cos.f64 a)) -1))
	1.1b	(/.f64 r (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))) 3))
	25.2b	(/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) (sin.f64 b))) 3))
	27.1b	(/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) (sin.f64 b))) 3))
	0.5b	(/.f64 r (/.f64 (-.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 (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a))) (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)))
	0.5b	(/.f64 r (/.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)))) (/.f64 1 (sin.f64 b))) (+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
✓	12.6b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	24.8b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
	26.7b	(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
	29.3b	(/.f64 r (/.f64 (cos.f64 a) b))
	12.6b	(/.f64 r (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
	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)))))
	26.2b	(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
	27.6b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
	0.4b	(/.f64 r (+.f64 (neg.f64 (sin.f64 a)) (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a))))
	0.4b	(/.f64 r (.f64 (/.f64 1 (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	12.6b	(/.f64 r (*.f64 (/.f64 1 (sin.f64 b)) (cos.f64 (+.f64 b a))))
	35.5b	(/.f64 r (log1p.f64 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
	30.1b	(/.f64 r (fabs.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
	29.3b	(/.f64 b (/.f64 (cos.f64 a) r))
	29.4b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
	0.4b	(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.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))))
	24.8b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	26.7b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
	24.8b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	12.7b	(.f64 (/.f64 1 (cos.f64 (-.f64 b a))) (.f64 r (sin.f64 b)))
	26.7b	(.f64 (/.f64 1 (cos.f64 a)) (.f64 r (sin.f64 b)))
	29.3b	(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
	38.4b	(*.f64 (sin.f64 b) r)
	12.7b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (sin.f64 b))))
	12.6b	(.f64 r (.f64 (neg.f64 (sin.f64 b)) (/.f64 -1 (cos.f64 (+.f64 b a)))))
▶	41.2b	(*.f64 r b)
	31.5b	(fabs.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))
	31.5b	(fabs.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
	40.9b	(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))))
	34.6b	(exp.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))

Compiler

Compiled 1972 to 1304 computations (33.9% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 12 computations (78.2% saved)

series6.0ms (0%)

Counts

4 → 28

Calls

27 calls:

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

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`associate-/l*`
1728×	`associate-/r*`
506×	`associate-+l+`
354×	`add-sqr-sqrt`
350×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	92
1	328	68
2	4709	68

Stop Event

1×	node limit

Counts

4 → 101

Calls

Call 1

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

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

simplify127.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1400×	`associate-/r*`
1256×	`distribute-lft-in`
702×	`associate-/r/`
674×	`associate-/l/`
618×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	5021
1	1102	4819
2	4448	4807

Stop Event

1×	node limit

Counts

129 → 237

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series2.0ms (0%)

Counts

1 → 4

Calls

6 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	@	-inf	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
0.0ms	b	@	inf	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
0.0ms	r	@	0	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))

rewrite60.0ms (0.4%)

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	21
1	182	21
2	2396	21

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

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)))))))

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1180×	`associate-*r/`
814×	`associate-/l*`
798×	`associate-+l-`
734×	`associate-*l/`
680×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1414
1	382	1318
2	1413	1268
3	6203	1268

Stop Event

1×	node limit

Counts

46 → 63

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 (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)))

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

localize29.0ms (0.2%)

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)
✓	3.6b	(cos.f64 (-.f64 b a))

Compiler

Compiled 40 to 11 computations (72.5% saved)

series10.0ms (0.1%)

Counts

3 → 88

Calls

24 calls:

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

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`associate-*r/`
1454×	`associate-*l/`
1334×	`associate-/l*`
300×	`add-sqr-sqrt`
292×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	284	65
2	3839	65

Stop Event

1×	node limit

Counts

3 → 227

Calls

Call 1

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

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

Algorithm

1×	egg-herbie

Rules

1446×	`times-frac`
1294×	`associate-/l*`
1194×	`associate-r`
848×	`associate-l`
812×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	648	12929
1	1711	12689

Stop Event

1×	node limit

Counts

315 → 377

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 r (cos.f64 (+.f64 b a)))
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
	3.4b	(cos.f64 (+.f64 b a))
✓	10.0b	(cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))

Compiler

Compiled 53 to 12 computations (77.4% saved)

series89.0ms (0.6%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
45.0ms	b	@	0	(cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))
22.0ms	b	@	0	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
4.0ms	a	@	0	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
2.0ms	a	@	0	(cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))
2.0ms	a	@	inf	(cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`associate-*r/`
1234×	`associate-*l/`
968×	`associate-/r*`
720×	`associate-/l*`
300×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	305	75
2	3815	75

Stop Event

1×	node limit

Counts

3 → 235

Calls

Call 1

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

Outputs

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

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

simplify140.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1694×	`associate-/l*`
1206×	`associate-r`
930×	`associate-l`
802×	`*-commutative`
636×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	749	18001
1	2023	17827

Stop Event

1×	node limit

Counts

311 → 386

Calls

Call 1

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

Outputs
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))) 1/3)
(cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))) 1/3)
(cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))) 1/3)
(cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))) 1/3)
(cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))
(cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (*.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/9) a)))
(+.f64 (.f64 1/3 (.f64 a (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 b) 16) (/.f64 (pow.f64 (cos.f64 b) 16) (pow.f64 r 7))) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 b) 16) (/.f64 (pow.f64 (cos.f64 b) 16) (pow.f64 r 7))) 1/18)))) (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))
(+.f64 (.f64 1/3 (.f64 (.f64 a (pow.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 16) (pow.f64 (cos.f64 b) 16)) (pow.f64 r 7)) 1/18)) (pow.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 16) (pow.f64 (cos.f64 b) 16)) (pow.f64 r 7)) 1/18))) (cbrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) 1/3) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (*.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/9) a))))
(+.f64 (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r)))) (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (fma.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 b) 35) (/.f64 (pow.f64 (cos.f64 b) 35) (pow.f64 r 17))) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 b) 35) (/.f64 (pow.f64 (cos.f64 b) 35) (pow.f64 r 17))) 1/18)) (.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) -1/2))))) (.f64 1/3 (.f64 a (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 b) 16) (/.f64 (pow.f64 (cos.f64 b) 16) (pow.f64 r 7))) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 b) 16) (/.f64 (pow.f64 (cos.f64 b) 16) (pow.f64 r 7))) 1/18))))) (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))
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(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 b a)))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (sin.f64 b)))
(*.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 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 b a)))) 3))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) 3) (pow.f64 (sin.f64 b) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) 3)))
(expm1.f64 (log1p.f64 (*.f64 r (/.f64 (sin.f64 b) (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 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 b a))))) 1))
(*.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 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 (cos.f64 (+.f64 b a))))) 1)
(/.f64 r (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 1 (cos.f64 (+.f64 b a))))
(/.f64 r (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1)
(/.f64 r (cos.f64 (+.f64 b a)))
(*.f64 1 (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (cos.f64 (+.f64 b a)))
(*.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (sqrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 r (cos.f64 (+.f64 b a)))
(.f64 (sqrt.f64 r) (.f64 (sqrt.f64 r) (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (sqrt.f64 r) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sqrt.f64 r)))
(/.f64 (*.f64 (sqrt.f64 r) (sqrt.f64 r)) (cos.f64 (+.f64 b a)))
(*.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (cbrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))))
(*.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (cbrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2)))
(.f64 (cbrt.f64 (.f64 r r)) (*.f64 (cbrt.f64 r) (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (cbrt.f64 (.f64 r r)) (/.f64 (cbrt.f64 r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) r)
(/.f64 r (cos.f64 (+.f64 b a)))
(*.f64 (neg.f64 r) (/.f64 -1 (cos.f64 (+.f64 b a))))
(/.f64 r (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (sqrt.f64 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 r (cbrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 1 (/.f64 r (cbrt.f64 (cos.f64 (+.f64 b a))))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2))
(/.f64 (/.f64 r (cbrt.f64 (cos.f64 (+.f64 b a)))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2))
(*.f64 (/.f64 (sqrt.f64 r) 1) (/.f64 (sqrt.f64 r) (cos.f64 (+.f64 b a))))
(.f64 (sqrt.f64 r) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sqrt.f64 r)))
(/.f64 (*.f64 (sqrt.f64 r) (sqrt.f64 r)) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sqrt.f64 r) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sqrt.f64 r) (cbrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 r) (sqrt.f64 r)) (cbrt.f64 (cos.f64 (+.f64 b a)))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2))
(.f64 (/.f64 (cbrt.f64 (.f64 r r)) 1) (/.f64 (cbrt.f64 r) (cos.f64 (+.f64 b a))))
(.f64 (cbrt.f64 (.f64 r r)) (*.f64 (cbrt.f64 r) (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (cbrt.f64 (.f64 r r)) (/.f64 (cbrt.f64 r) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (cbrt.f64 (.f64 r r)) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (cbrt.f64 r) (sqrt.f64 (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 (cbrt.f64 (.f64 r r)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))))
(.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (/.f64 (cbrt.f64 (.f64 r r)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)))
(pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1)
(/.f64 r (cos.f64 (+.f64 b a)))
(pow.f64 (sqrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 2)
(/.f64 r (cos.f64 (+.f64 b a)))
(pow.f64 (cbrt.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 3)
(/.f64 r (cos.f64 (+.f64 b a)))
(pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) 3) 1/3)
(/.f64 r (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) -1)
(/.f64 r (cos.f64 (+.f64 b a)))
(neg.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 r (cos.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) 2))
(log.f64 (exp.f64 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 r (cos.f64 (+.f64 b a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 r (cos.f64 (+.f64 b a))))))
(/.f64 r (cos.f64 (+.f64 b a)))
(cbrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) 3))
(/.f64 r (cos.f64 (+.f64 b a)))
(expm1.f64 (log1p.f64 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 r (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 r (cos.f64 (+.f64 b a)))
(exp.f64 (*.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 b a)))) 1))
(/.f64 r (cos.f64 (+.f64 b a)))
(log1p.f64 (expm1.f64 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 r (cos.f64 (+.f64 b a)))

eval335.0ms (2.1%)

Compiler: Compiled 30110 to 10685 computations (64.5% saved)

prune510.0ms (3.3%)

Pruning

71 alts after pruning (66 fresh and 5 done)

	Pruned	Kept	Total
New	1176	24	1200
Fresh	15	42	57
Picked	1	0	1
Done	1	5	6
Total	1193	71	1264

Error

Counts

1264 → 71

Alt Table

Click to see full alt table

Status	Error	Program
	41.7b	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) 3)
	25.0b	(pow.f64 (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) r) -1)
▶	28.7b	(pow.f64 (-.f64 (/.f64 (cos.f64 a) (*.f64 b r)) (/.f64 (neg.f64 (sin.f64 a)) r)) -1)
	25.3b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) 3)
	1.3b	(pow.f64 (cbrt.f64 (.f64 (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))) 3)
	27.2b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))) 3)
	29.7b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
	1.2b	(/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 3) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	25.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3) (cos.f64 b))
	27.2b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 a))
	12.6b	(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 r))
	12.7b	(/.f64 (/.f64 r (cos.f64 (-.f64 b a))) (/.f64 1 (sin.f64 b)))
	24.7b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) 1/3) (*.f64 (sin.f64 a) (sin.f64 b))))
	0.8b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) 3) (*.f64 (sin.f64 a) (sin.f64 b))))
✓	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))))
	24.1b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 b))))
	26.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) (sin.f64 b))))
✓	24.8b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	31.7b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (/.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)))))))))
	26.2b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
✓	12.6b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
▶	12.8b	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 3)))
	41.3b	(/.f64 (*.f64 r b) (cos.f64 b))
	29.3b	(/.f64 (*.f64 r b) (cos.f64 a))
	44.2b	(/.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 2)) (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))
	24.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	26.7b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
	38.7b	(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))
	38.5b	(/.f64 (fabs.f64 (*.f64 r (sin.f64 b))) (cos.f64 b))
	30.9b	(/.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r))) (cos.f64 b))
	41.6b	(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))) (cos.f64 b))
	42.0b	(/.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))))
	43.4b	(/.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 b) (sin.f64 b)) 1/3) 3))
	0.4b	(/.f64 r (pow.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) -1))
	29.3b	(/.f64 r (pow.f64 (/.f64 b (cos.f64 a)) -1))
	25.2b	(/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) (sin.f64 b))) 3))
	27.1b	(/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) (sin.f64 b))) 3))
	0.5b	(/.f64 r (/.f64 (-.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 (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a))) (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)))
	0.5b	(/.f64 r (/.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)))) (/.f64 1 (sin.f64 b))) (+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
✓	12.6b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	24.8b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
	26.7b	(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
	29.3b	(/.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)))))
	26.2b	(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
	27.6b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
	0.4b	(/.f64 r (+.f64 (neg.f64 (sin.f64 a)) (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a))))
	0.4b	(/.f64 r (.f64 (/.f64 1 (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	12.6b	(/.f64 r (*.f64 (/.f64 1 (sin.f64 b)) (cos.f64 (+.f64 b a))))
	35.5b	(/.f64 r (log1p.f64 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
	30.1b	(/.f64 r (fabs.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
	29.3b	(/.f64 b (/.f64 (cos.f64 a) r))
	12.8b	(/.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))))
	29.4b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
	24.8b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	26.7b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
	24.8b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
▶	26.7b	(.f64 (/.f64 1 (cos.f64 a)) (.f64 r (sin.f64 b)))
	29.3b	(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
▶	38.4b	(*.f64 (sin.f64 b) r)
	12.6b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
	24.8b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 b))))
✓	41.2b	(*.f64 r b)
	45.2b	(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 2))
	31.5b	(fabs.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))
	31.5b	(fabs.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
	41.6b	(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))

Compiler

Compiled 2047 to 1395 computations (31.9% saved)

localize19.0ms (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 (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) (/.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)

series48.0ms (0.3%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
38.0ms	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))
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	r	@	0	(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))) r))

rewrite98.0ms (0.6%)

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.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> 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(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)))))))))

simplify150.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1016×	`associate-+r+`
924×	`associate-+l+`
792×	`associate-r`
720×	`+-commutative`
638×	`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 → 285

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 12 computations (57.1% saved)

series2.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite202.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`*-commutative`
876×	`unswap-sqr`
672×	`swap-sqr`
572×	`associate-*r/`
550×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	235	32
2	2831	32

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

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

Outputs

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

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

simplify252.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1090×	`unswap-sqr`
820×	`associate-/l*`
548×	`associate-/l/`
436×	`distribute-lft-in`
430×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	412	5410
1	1047	5282
2	4386	5238

Stop Event

1×	node limit

Counts

174 → 239

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (cos.f64 a) (*.f64 b r)) (/.f64 (neg.f64 (sin.f64 a)) r))
✓	0.1b	(/.f64 (neg.f64 (sin.f64 a)) r)
✓	0.3b	(pow.f64 (-.f64 (/.f64 (cos.f64 a) (*.f64 b r)) (/.f64 (neg.f64 (sin.f64 a)) r)) -1)
✓	0.5b	(/.f64 (cos.f64 a) (*.f64 b r))

Compiler

Compiled 54 to 13 computations (75.9% saved)

series12.0ms (0.1%)

Counts

4 → 112

Calls

33 calls:

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

rewrite203.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1128×	`associate-/r/`
664×	`associate-/l/`
592×	`distribute-lft-in`
350×	`add-sqr-sqrt`
340×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	112
1	333	88
2	4973	88

Stop Event

1×	node limit

Counts

4 → 360

Calls

Call 1

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

Outputs
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simplify290.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1482×	`associate-*r/`
1414×	`associate-/l*`
1242×	`associate-*l/`
612×	`associate-/r/`
556×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	928	26362
1	2899	25958

Stop Event

1×	node limit

Counts

472 → 672

Calls

Call 1

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

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

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 3)))
✓	0.5b	(cbrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 3))
✓	0.6b	(pow.f64 (cos.f64 (-.f64 b a)) 3)
	3.6b	(cos.f64 (-.f64 b a))

Compiler

Compiled 45 to 17 computations (62.2% saved)

series8.0ms (0%)

Counts

3 → 76

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(pow.f64 (cos.f64 (-.f64 b a)) 3)
1.0ms	a	@	0	(pow.f64 (cos.f64 (-.f64 b a)) 3)
1.0ms	b	@	0	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 b a)) 3)))
1.0ms	b	@	-inf	(pow.f64 (cos.f64 (-.f64 b a)) 3)
0.0ms	b	@	inf	(pow.f64 (cos.f64 (-.f64 b a)) 3)

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1530×	`associate-*r/`
1434×	`associate-/r*`
1216×	`associate-*l/`
302×	`add-sqr-sqrt`
292×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	55
1	307	55
2	3887	55

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

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

Outputs

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

simplify145.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1232×	`associate-+r+`
1102×	`associate-+l+`
1050×	`associate-r`
810×	`+-commutative`
810×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	436	8338
1	1319	7854
2	5970	7854

Stop Event

1×	node limit

Counts

190 → 216

Calls

Call 1

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

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

eval491.0ms (3.1%)

Compiler: Compiled 37958 to 11285 computations (70.3% saved)

prune727.0ms (4.7%)

Pruning

87 alts after pruning (80 fresh and 7 done)

	Pruned	Kept	Total
New	1499	29	1528
Fresh	10	51	61
Picked	1	0	1
Done	2	7	9
Total	1512	87	1599

Error

Counts

1599 → 87

Alt Table

Click to see full alt table

Status	Error	Program
	41.7b	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) 3)
	50.6b	(pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3)
	25.0b	(pow.f64 (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) r) -1)
	61.4b	(pow.f64 (/.f64 (sin.f64 a) r) -1)
	43.8b	(pow.f64 (+.f64 (/.f64 a r) (/.f64 (/.f64 1 b) r)) -1)
	25.3b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) 3)
	29.7b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
	38.7b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3)
	27.2b	(pow.f64 (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))) 3)
	1.2b	(/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 3) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	25.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3) (cos.f64 b))
	27.2b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 a))
	42.8b	(/.f64 (/.f64 (.f64 r r) (sin.f64 a)) (+.f64 r (/.f64 (/.f64 (.f64 r (cos.f64 a)) (sin.f64 a)) b)))
	12.6b	(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 r))
	12.7b	(/.f64 (/.f64 r (cos.f64 (-.f64 b a))) (/.f64 1 (sin.f64 b)))
	24.7b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) 1/3) (*.f64 (sin.f64 a) (sin.f64 b))))
	0.8b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) 3) (*.f64 (sin.f64 a) (sin.f64 b))))
	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))))
	24.1b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 b))))
	26.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) (sin.f64 b))))
✓	24.8b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	36.4b	(/.f64 (.f64 r (/.f64 b (/.f64 (cos.f64 a) r))) (-.f64 r (.f64 (sin.f64 a) (/.f64 b (/.f64 (cos.f64 a) r)))))
	37.1b	(/.f64 (.f64 r (.f64 r (/.f64 b (cos.f64 a)))) (+.f64 r (.f64 (sin.f64 a) (.f64 r (/.f64 b (cos.f64 a))))))
	26.2b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
✓	12.6b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
	24.9b	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 b) 3)))
	41.3b	(/.f64 (*.f64 r b) (cos.f64 b))
	29.3b	(/.f64 (*.f64 r b) (cos.f64 a))
	39.9b	(/.f64 (.f64 1 (.f64 r r)) (-.f64 (.f64 r (/.f64 (cos.f64 a) b)) (.f64 r (sin.f64 a))))
	44.2b	(/.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 2)) (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))
	0.3b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
	0.5b	(/.f64 (sin.f64 b) (/.f64 (+.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (exp.f64 (log1p.f64 (.f64 (sin.f64 b) (sin.f64 a))))) 1) r))
	24.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	26.7b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
	0.4b	(/.f64 (sin.f64 b) (.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 1 (neg.f64 r))))
	38.7b	(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))
	38.5b	(/.f64 (fabs.f64 (*.f64 r (sin.f64 b))) (cos.f64 b))
	30.9b	(/.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r))) (cos.f64 b))
	41.6b	(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))) (cos.f64 b))
	42.0b	(/.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))))
	43.4b	(/.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 b) (sin.f64 b)) 1/3) 3))
	0.4b	(/.f64 r (pow.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) -1))
	29.3b	(/.f64 r (pow.f64 (/.f64 b (cos.f64 a)) -1))
	25.2b	(/.f64 r (pow.f64 (cbrt.f64 (/.f64 (cos.f64 b) (sin.f64 b))) 3))
✓	12.6b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	24.8b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
	29.3b	(/.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)))))
	26.2b	(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
	27.6b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))
	0.4b	(/.f64 r (+.f64 (neg.f64 (sin.f64 a)) (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a))))
	0.4b	(/.f64 r (.f64 (/.f64 1 (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	12.6b	(/.f64 r (*.f64 (/.f64 1 (sin.f64 b)) (cos.f64 (+.f64 b a))))
	61.4b	(/.f64 r (sin.f64 a))
	35.5b	(/.f64 r (log1p.f64 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
	30.1b	(/.f64 r (fabs.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
	37.2b	(/.f64 b (/.f64 (fma.f64 b (.f64 r (sin.f64 a)) (.f64 (cos.f64 a) (neg.f64 r))) (*.f64 r (neg.f64 r))))
	29.3b	(/.f64 b (/.f64 (cos.f64 a) r))
	27.7b	(/.f64 1 (/.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) r))
	12.8b	(/.f64 1 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))))
	29.4b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
	36.7b	(.f64 (/.f64 (.f64 1 r) (fma.f64 r (sin.f64 a) (*.f64 r (/.f64 (cos.f64 a) b)))) r)
	0.3b	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r)
	24.8b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	26.7b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
	24.8b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	27.6b	(*.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))) r)
	39.9b	(.f64 (/.f64 1 (-.f64 (.f64 (/.f64 (cos.f64 a) b) r) (.f64 r (sin.f64 a)))) (.f64 r r))
	37.4b	(.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 a) (/.f64 r (sin.f64 a))) (.f64 b r))) (.f64 (*.f64 b r) (/.f64 r (sin.f64 a))))
	36.4b	(.f64 (/.f64 1 (-.f64 r (.f64 (.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)))) (.f64 (*.f64 (/.f64 b (cos.f64 a)) r) r))
✓	26.7b	(.f64 (/.f64 1 (cos.f64 a)) (.f64 r (sin.f64 b)))
	38.7b	(.f64 (/.f64 1 (cos.f64 a)) (fabs.f64 (.f64 (sin.f64 b) r)))
	31.9b	(.f64 (/.f64 1 (cos.f64 a)) (expm1.f64 (log1p.f64 (.f64 r (sin.f64 b)))))
	29.3b	(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
✓	38.4b	(*.f64 (sin.f64 b) r)
	12.6b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
	24.8b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 b))))
✓	41.2b	(*.f64 r b)
	45.2b	(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 2))
	37.5b	(fabs.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))
	44.4b	(fabs.f64 (*.f64 r (sin.f64 b)))
	41.4b	(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r)))
	45.5b	(exp.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) r))))
	41.6b	(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
	46.7b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3))

Compiler

Compiled 1238 to 848 computations (31.5% saved)

regimes407.0ms (2.6%)

Counts

138 → 1

Calls

Call 1

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

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

Calls

4 calls:

112.0ms	a
79.0ms	r
79.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
66.0ms	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 1805 to 538 computations (70.2% saved)

regimes223.0ms (1.4%)

Counts

109 → 1

Calls

Call 1

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

52.0ms	r
52.0ms	b
48.0ms	a
44.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a 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 1145 to 367 computations (67.9% saved)

regimes213.0ms (1.4%)

Counts

108 → 1

Calls

Call 1

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

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

Calls

4 calls:

48.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
47.0ms	r
46.0ms	a
46.0ms	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 1132 to 365 computations (67.8% saved)

regimes280.0ms (1.8%)

Counts

107 → 1

Calls

Call 1

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

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

Calls

4 calls:

78.0ms	a
48.0ms	r
45.0ms	b
43.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Error	Segments	Branch
12.6b	1	`r`
12.6b	1	`a`
12.6b	1	`b`
12.6b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 1118 to 362 computations (67.6% saved)

regimes87.0ms (0.6%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	b
15.0ms	r
15.0ms	a

Results

Error	Segments	Branch
12.6b	1	`r`
12.6b	1	`a`
12.6b	1	`b`

Compiler

Compiled 224 to 85 computations (62.1% saved)

regimes234.0ms (1.5%)

Counts

29 → 3

Calls

Call 1

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

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

Calls

3 calls:

117.0ms	a
73.0ms	r
38.0ms	b

Results

Error	Segments	Branch
21.6b	3	`r`
12.2b	3	`a`
12.7b	3	`b`

Compiler

Compiled 215 to 81 computations (62.3% saved)

bsearch117.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	4.633059104268117e-13	239.59815582425102
73.0ms	-33316753.01533349	-1717405.978743359

Results

76.0ms	83×	body	1024	valid
26.0ms	159×	body	256	valid
7.0ms	25×	body	512	valid
4.0ms	5×	body	2048	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 460 to 319 computations (30.7% saved)

regimes172.0ms (1.1%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

3 calls:

75.0ms	a
55.0ms	b
37.0ms	r

Results

Error	Segments	Branch
21.6b	3	`r`
12.2b	3	`a`
12.7b	3	`b`

Compiler

Compiled 206 to 79 computations (61.7% saved)

bsearch80.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	4.633059104268117e-13	239.59815582425102
22.0ms	-213377028830165340.0	-65500388751864680.0

Results

25.0ms	55×	body	1024	valid
24.0ms	155×	body	256	valid
7.0ms	25×	body	512	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 378 to 268 computations (29.1% saved)

regimes172.0ms (1.1%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

3 calls:

77.0ms	r
52.0ms	b
37.0ms	a

Results

Error	Segments	Branch
21.6b	3	`r`
12.8b	3	`a`
12.7b	3	`b`

Compiler

Compiled 197 to 77 computations (60.9% saved)

bsearch100.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	8.3182209221474545e-19	2.7782948442273588e-11
47.0ms	-2084108145980.251	-1712.0615210276367

Results

43.0ms	184×	body	256	valid
38.0ms	71×	body	1024	valid
13.0ms	31×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 432 to 301 computations (30.3% saved)

regimes88.0ms (0.6%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	a
27.0ms	r
27.0ms	b

Results

Error	Segments	Branch
21.7b	3	`r`
12.8b	3	`a`
12.7b	3	`b`

Compiler

Compiled 136 to 59 computations (56.6% saved)

bsearch129.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	8.3182209221474545e-19	2.7782948442273588e-11
85.0ms	-2084108145980.251	-1712.0615210276367

Results

77.0ms	72×	body	1024	valid
32.0ms	171×	body	256	valid
14.0ms	42×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 432 to 301 computations (30.3% saved)

regimes121.0ms (0.8%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

61.0ms	b
29.0ms	a
27.0ms	r

Results

Error	Segments	Branch
21.7b	3	`r`
12.8b	3	`a`
12.8b	3	`b`

Compiler

Compiled 122 to 55 computations (54.9% saved)

bsearch102.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
52.0ms	8.3182209221474545e-19	2.7782948442273588e-11
49.0ms	-2084108145980.251	-1712.0615210276367

Results

45.0ms	84×	body	1024	valid
27.0ms	165×	body	256	valid
19.0ms	32×	body	512	valid
7.0ms	7×	body	2048	valid

Compiler

Compiled 432 to 301 computations (30.3% saved)

regimes65.0ms (0.4%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	b
23.0ms	a
9.0ms	r

Results

Error	Segments	Branch
29.1b	1	`r`
27.3b	3	`a`
26.3b	3	`b`

Compiler

Compiled 108 to 51 computations (52.8% saved)

bsearch79.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	21446780094311.656	59327190760931.31
56.0ms	-1712.0615210276367	-1.2256807579821344e-23

Results

30.0ms	59×	body	1024	valid
29.0ms	157×	body	256	valid
13.0ms	36×	body	512	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 306 to 221 computations (27.8% saved)

regimes12.0ms (0.1%)

Accuracy

Total -23.9b remaining (-62.2%)

Threshold costs -23.9b (-62.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	b
3.0ms	r
3.0ms	a

Results

Error	Segments	Branch
38.4b	1	`r`
38.4b	1	`a`
38.4b	1	`b`

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative`
20×	`+-commutative`
12×	`sub-neg`
10×	`if-if-or-not`
8×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	76	635
1	113	631
2	128	631
3	135	631
4	139	631
5	140	631

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r)
(/.f64 r (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a) (neg.f64 (sin.f64 a))))
(/.f64 r (+.f64 (neg.f64 (sin.f64 a)) (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(if (<=.f64 a -1750000) (/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))) (if (<=.f64 a 5476377146882523/576460752303423488) (/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) (/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))))
(if (<=.f64 a -66000000000000000) (/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))) (if (<=.f64 a 1936908127739503/9223372036854775808) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))))
(if (<=.f64 b -1750) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (if (<=.f64 b 8510837770086989/309485009821345068724781056) (/.f64 (.f64 r b) (cos.f64 (+.f64 a b))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(if (<=.f64 b -1750) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (if (<=.f64 b 8510837770086989/309485009821345068724781056) (/.f64 (.f64 r b) (cos.f64 (+.f64 a b))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(if (<=.f64 b -1750) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (if (<=.f64 b 8510837770086989/309485009821345068724781056) (/.f64 (.f64 r b) (cos.f64 (+.f64 a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(if (<=.f64 b -2589569785738035/2251799813685248) (.f64 (sin.f64 b) r) (if (<=.f64 b 22000000000000) (.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(*.f64 r b)

Outputs
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 r (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a) (neg.f64 (sin.f64 a))))
(/.f64 r (+.f64 (neg.f64 (sin.f64 a)) (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a))))
(/.f64 r (+.f64 (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 a)))
(/.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 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(if (<=.f64 a -1750000) (/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))) (if (<=.f64 a 5476377146882523/576460752303423488) (/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) (/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))))
(if (or (<=.f64 a -1750000) (not (<=.f64 a 5476377146882523/576460752303423488))) (/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))) (/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(if (<=.f64 a -66000000000000000) (/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))) (if (<=.f64 a 1936908127739503/9223372036854775808) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)))))
(if (or (<=.f64 a -66000000000000000) (not (<=.f64 a 1936908127739503/9223372036854775808))) (/.f64 r (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(if (<=.f64 b -1750) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (if (<=.f64 b 8510837770086989/309485009821345068724781056) (/.f64 (.f64 r b) (cos.f64 (+.f64 a b))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(if (<=.f64 b -1750) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (if (<=.f64 b 8510837770086989/309485009821345068724781056) (/.f64 (.f64 b r) (cos.f64 (+.f64 b a))) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))))
(if (<=.f64 b -1750) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (if (<=.f64 b 8510837770086989/309485009821345068724781056) (/.f64 (.f64 r b) (cos.f64 (+.f64 a b))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(if (or (<=.f64 b -1750) (not (<=.f64 b 8510837770086989/309485009821345068724781056))) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (.f64 b r) (cos.f64 (+.f64 b a))))
(if (<=.f64 b -1750) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (if (<=.f64 b 8510837770086989/309485009821345068724781056) (/.f64 (.f64 r b) (cos.f64 (+.f64 a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(if (or (<=.f64 b -1750) (not (<=.f64 b 8510837770086989/309485009821345068724781056))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (/.f64 (.f64 b r) (cos.f64 (+.f64 b a))))
(if (<=.f64 b -2589569785738035/2251799813685248) (.f64 (sin.f64 b) r) (if (<=.f64 b 22000000000000) (.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (sin.f64 b) r)))
(if (or (<=.f64 b -2589569785738035/2251799813685248) (not (<=.f64 b 22000000000000))) (.f64 (sin.f64 b) r) (.f64 b (/.f64 r (cos.f64 a))))
(*.f64 (sin.f64 b) r)
(*.f64 r b)
(*.f64 b r)

Compiler

Compiled 255 to 168 computations (34.1% saved)

soundness1.2s (7.7%)

Algorithm

2×	egg-herbie

Rules

1016×	`associate-+r+`
924×	`associate-+l+`
806×	`times-frac`
792×	`associate-r`
742×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	572	7785
1	1580	7785
0	477	11731
1	1297	11485
2	6599	11485

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 225 to 72 computations (68% saved)

end114.0ms (0.7%)

Compiler: Compiled 219 to 80 computations (63.5% saved)