Details

analyze565.0ms (3.6%)

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)

sample3.2s (20.6%)

Results

2.0s	3650×	body	1024	valid
538.0ms	3021×	body	256	valid
475.0ms	1388×	body	512	valid
156.0ms	197×	body	2048	valid

Bogosity

preprocess18.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	108
1	41	108
2	53	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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 a (/.f64 (sin.f64 b) (cos.f64 (+.f64 r b))))
(*.f64 b (/.f64 (sin.f64 r) (cos.f64 (+.f64 a r))))
(*.f64 r (/.f64 (sin.f64 a) (cos.f64 (+.f64 b a))))

Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 a (/.f64 (sin.f64 b) (cos.f64 (+.f64 r b))))
(*.f64 (sin.f64 b) (/.f64 a (cos.f64 (+.f64 r b))))
(*.f64 b (/.f64 (sin.f64 r) (cos.f64 (+.f64 a r))))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 r a)))
(/.f64 (sin.f64 r) (/.f64 (cos.f64 (+.f64 r a)) b))
(*.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*`
2×	`associate-/r/`
2×	`associate-*r/`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	15	27
2	18	27
3	22	27
4	23	27

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 30 to 14 computations (53.3% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

14.6b

Counts

4 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
✓	0.3b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
✓	3.9b	(cos.f64 (+.f64 b a))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series14.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite92.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`associate-*r/`
1178×	`associate-*l/`
940×	`associate-/r*`
700×	`associate-/l*`
504×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	238	59
2	3280	59

Stop Event

1×	node limit

Counts

3 → 220

Calls

Call 1

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

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

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

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1678×	`times-frac`
964×	`associate-r`
864×	`associate-/r*`
814×	`associate-l`
680×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	677	11320
1	1803	11060

Stop Event

1×	node limit

Counts

304 → 345

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (cos.f64 (+.f64 b a)) r)
✓	0.3b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
	3.9b	(cos.f64 (+.f64 b a))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1772×	`associate-*l/`
1608×	`associate-/l*`
624×	`associate-/r/`
544×	`distribute-lft-in`
358×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	244	44
2	3523	44

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

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

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simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1266×	`distribute-lft-in`
1254×	`distribute-rgt-in`
676×	`associate-r`
620×	`*-commutative`
504×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	431	6480
1	1288	6326
2	5387	6302

Stop Event

1×	node limit

Counts

192 → 209

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

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

eval176.0ms (1.1%)

Compiler: Compiled 13644 to 4135 computations (69.7% saved)

prune170.0ms (1.1%)

Pruning

53 alts after pruning (52 fresh and 1 done)

	Pruned	Kept	Total
New	578	52	630
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	579	53	632

Error

0.0b

Counts

632 → 53

Alt Table

Click to see full alt table

Status	Error	Program
	49.8b	(pow.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 3) 1/3)
▶	15.4b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 3)
	14.8b	(/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (cos.f64 (+.f64 b a)))
	14.8b	(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 1 (sin.f64 b)))
	39.8b	(/.f64 (*.f64 (sqrt.f64 (sin.f64 b)) r) (/.f64 (cos.f64 (+.f64 b a)) (sqrt.f64 (sin.f64 b))))
	14.7b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
	24.8b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	34.1b	(/.f64 (*.f64 b r) (cos.f64 a))
	50.1b	(/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3) 1/3))
	14.8b	(/.f64 (sin.f64 b) (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) -1))
	0.4b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) r))
	25.9b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) r))
	32.6b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) r))
	30.5b	(/.f64 (sin.f64 b) (/.f64 (fabs.f64 (cos.f64 (+.f64 a b))) r))
✓	14.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
	24.9b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	30.6b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
	0.4b	(/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 b) (/.f64 r (cos.f64 a))) (/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))))
	0.4b	(/.f64 (sin.f64 b) (-.f64 (.f64 (/.f64 (cos.f64 b) r) (cos.f64 a)) (.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))))
	0.4b	(/.f64 (sin.f64 b) (+.f64 (.f64 (/.f64 1 r) (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (/.f64 1 r) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	14.8b	(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
	27.5b	(/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
	41.2b	(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
	14.8b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	46.6b	(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))) 1)
	28.6b	(+.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))))
	15.4b	(.f64 (pow.f64 (cbrt.f64 r) 2) (.f64 (/.f64 (cbrt.f64 r) (cos.f64 (+.f64 a b))) (sin.f64 b)))
	0.4b	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.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))))
	0.5b	(.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) 3)) r)) (+.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))))))
	24.8b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	14.7b	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	34.1b	(*.f64 (/.f64 r (cos.f64 a)) b)
▶	34.1b	(*.f64 (/.f64 b (cos.f64 a)) r)
▶	14.7b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) r))
	0.4b	(.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2)))) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
	14.8b	(*.f64 r (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) -1))
	15.3b	(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))))))
	15.0b	(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)))
▶	26.0b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))))
▶	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	14.8b	(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))
	30.5b	(*.f64 r (/.f64 (sin.f64 b) (fabs.f64 (cos.f64 (+.f64 a b)))))
	30.6b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
	14.7b	(.f64 r (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
	15.1b	(*.f64 r (log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	35.9b	(*.f64 r (log.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	35.1b	(*.f64 r (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
	19.2b	(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	44.6b	(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2))
	55.7b	(log.f64 (exp.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))
	34.5b	(fabs.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	37.6b	(exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))

Compiler

Compiled 1792 to 1158 computations (35.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 65 to 12 computations (81.5% saved)

series17.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

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

rewrite108.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`associate-/r*`
1046×	`associate-/l*`
690×	`associate-/r/`
510×	`associate-+l+`
352×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	126
1	327	78
2	4616	78

Stop Event

1×	node limit

Counts

4 → 195

Calls

Call 1

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

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

simplify161.0ms (1%)

Algorithm

1×	egg-herbie

Rules

948×	`+-commutative`
806×	`*-commutative`
802×	`associate-r`
726×	`associate-/l*`
640×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	723	13961
1	2001	13413
2	7989	13413

Stop Event

1×	node limit

Counts

303 → 371

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 b (cos.f64 a)) r)
✓	0.1b	(/.f64 b (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
0.0ms	r	@	0	(*.f64 (/.f64 b (cos.f64 a)) r)
0.0ms	a	@	0	(*.f64 (/.f64 b (cos.f64 a)) r)
0.0ms	a	@	inf	(*.f64 (/.f64 b (cos.f64 a)) r)
0.0ms	b	@	0	(*.f64 (/.f64 b (cos.f64 a)) r)
0.0ms	b	@	inf	(/.f64 b (cos.f64 a))

rewrite62.0ms (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 b (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)

Outputs

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

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1636×	`associate-*r/`
988×	`associate-/l*`
850×	`unswap-sqr`
838×	`*-commutative`
594×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	1789
1	492	1701
2	2104	1667

Stop Event

1×	node limit

Counts

95 → 87

Calls

Call 1

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

Outputs
b
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) b)
(fma.f64 1/2 (.f64 b (.f64 a a)) b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 b) (.f64 -1/4 b)))) b))
(fma.f64 1/2 (.f64 b (.f64 a a)) (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 b -5/24)) b))
(fma.f64 1/2 (.f64 b (.f64 a a)) (-.f64 b (.f64 b (.f64 -5/24 (pow.f64 a 4)))))
(+.f64 b (.f64 b (-.f64 (.f64 1/2 (.f64 a a)) (.f64 (pow.f64 a 4) -5/24))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 b) (.f64 -1/4 b)))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/48 b) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 b) (.f64 -1/4 b))) (*.f64 -1/720 b))))) b)))
(fma.f64 1/2 (.f64 b (.f64 a a)) (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 b -5/24)) (fma.f64 -1 (.f64 (pow.f64 a 6) (fma.f64 1/48 b (fma.f64 1/2 (.f64 b -5/24) (*.f64 b -1/720)))) b)))
(fma.f64 1/2 (.f64 b (.f64 a a)) (-.f64 (-.f64 b (.f64 (pow.f64 a 6) (fma.f64 b 1/48 (fma.f64 b -1/720 (.f64 b -5/48))))) (.f64 b (.f64 -5/24 (pow.f64 a 4)))))
(+.f64 b (-.f64 (.f64 b (-.f64 (.f64 1/2 (.f64 a a)) (.f64 (pow.f64 a 4) -5/24))) (.f64 (pow.f64 a 6) (fma.f64 b 1/48 (.f64 b -19/180)))))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 b r)
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(fma.f64 b r (.f64 1/2 (.f64 (.f64 a a) (.f64 b r))))
(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 b r))
(.f64 r (fma.f64 1/2 (.f64 b (*.f64 a a)) b))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r)))))
(fma.f64 -1 (.f64 (pow.f64 a 4) (fma.f64 -1/4 (.f64 b r) (.f64 1/24 (.f64 b r)))) (fma.f64 b r (.f64 1/2 (.f64 (.f64 a a) (.f64 b r)))))
(-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 b r)) (.f64 (pow.f64 a 4) (.f64 (*.f64 b r) -5/24)))
(+.f64 (.f64 r (fma.f64 1/2 (.f64 b (.f64 a a)) b)) (.f64 (pow.f64 a 4) (.f64 (.f64 b r) 5/24)))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/48 (.f64 r b)) (+.f64 (.f64 -1/720 (.f64 b r)) (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r)))))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (*.f64 b r))))))
(fma.f64 -1 (.f64 (pow.f64 a 4) (fma.f64 -1/4 (.f64 b r) (.f64 1/24 (.f64 b r)))) (fma.f64 -1 (.f64 (pow.f64 a 6) (fma.f64 1/48 (.f64 b r) (fma.f64 -1/720 (.f64 b r) (.f64 1/2 (fma.f64 -1/4 (.f64 b r) (.f64 1/24 (.f64 b r))))))) (fma.f64 b r (.f64 1/2 (.f64 (.f64 a a) (*.f64 b r))))))
(-.f64 (-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 b r)) (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (.f64 (.f64 b r) -5/24)) (.f64 (.f64 b r) 7/360)))) (.f64 (pow.f64 a 4) (.f64 (*.f64 b r) -5/24)))
(+.f64 (.f64 r (fma.f64 1/2 (.f64 b (.f64 a a)) b)) (-.f64 (.f64 (pow.f64 a 4) (.f64 (.f64 b r) 5/24)) (.f64 (pow.f64 a 6) (fma.f64 1/48 (.f64 b r) (.f64 (.f64 b r) -19/180)))))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (cos.f64 a)))) 1)
(/.f64 b (cos.f64 a))
(*.f64 b (/.f64 1 (cos.f64 a)))
(/.f64 b (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) 1)
(/.f64 b (cos.f64 a))
(*.f64 1 (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 1 (cos.f64 a))))
(/.f64 b (cos.f64 a))
(*.f64 (sqrt.f64 (/.f64 b (cos.f64 a))) (sqrt.f64 (/.f64 b (cos.f64 a))))
(/.f64 b (cos.f64 a))
(.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (/.f64 1 (cos.f64 a))))
(/.f64 b (cos.f64 a))
(*.f64 (cbrt.f64 (/.f64 b (cos.f64 a))) (pow.f64 (cbrt.f64 (/.f64 b (cos.f64 a))) 2))
(/.f64 b (cos.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (cos.f64 a))) 2) (cbrt.f64 (/.f64 b (cos.f64 a))))
(/.f64 b (cos.f64 a))
(*.f64 (/.f64 1 (cos.f64 a)) b)
(/.f64 b (cos.f64 a))
(*.f64 (neg.f64 b) (/.f64 1 (neg.f64 (cos.f64 a))))
(/.f64 b (cos.f64 a))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 a))) (/.f64 b (sqrt.f64 (cos.f64 a))))
(/.f64 b (cos.f64 a))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 b (cbrt.f64 (cos.f64 a))))
(/.f64 b (cos.f64 a))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (cos.f64 a)))
(/.f64 b (cos.f64 a))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (cos.f64 a))))
(/.f64 b (cos.f64 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (cos.f64 a)))
(/.f64 b (cos.f64 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (cos.f64 a))) (/.f64 (cbrt.f64 b) (sqrt.f64 (cos.f64 a))))
(/.f64 b (cos.f64 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (/.f64 b (cos.f64 a))))
(*.f64 (cbrt.f64 (/.f64 b (cos.f64 a))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)))
(pow.f64 (/.f64 b (cos.f64 a)) 1)
(/.f64 b (cos.f64 a))
(pow.f64 (sqrt.f64 (/.f64 b (cos.f64 a))) 2)
(/.f64 b (cos.f64 a))
(pow.f64 (cbrt.f64 (/.f64 b (cos.f64 a))) 3)
(/.f64 b (cos.f64 a))
(pow.f64 (pow.f64 (/.f64 b (cos.f64 a)) 3) 1/3)
(/.f64 b (cos.f64 a))
(pow.f64 (/.f64 (cos.f64 a) b) -1)
(/.f64 b (cos.f64 a))
(neg.f64 (/.f64 b (neg.f64 (cos.f64 a))))
(/.f64 b (cos.f64 a))
(sqrt.f64 (pow.f64 (/.f64 b (cos.f64 a)) 2))
(fabs.f64 (/.f64 b (cos.f64 a)))
(log.f64 (exp.f64 (/.f64 b (cos.f64 a))))
(/.f64 b (cos.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (cos.f64 a)))))
(/.f64 b (cos.f64 a))
(cbrt.f64 (pow.f64 (/.f64 b (cos.f64 a)) 3))
(/.f64 b (cos.f64 a))
(expm1.f64 (log1p.f64 (/.f64 b (cos.f64 a))))
(/.f64 b (cos.f64 a))
(exp.f64 (log.f64 (/.f64 b (cos.f64 a))))
(/.f64 b (cos.f64 a))
(exp.f64 (*.f64 (log.f64 (/.f64 b (cos.f64 a))) 1))
(/.f64 b (cos.f64 a))
(log1p.f64 (expm1.f64 (/.f64 b (cos.f64 a))))
(/.f64 b (cos.f64 a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 b (cos.f64 a)) r))) 1)
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 b r)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r (neg.f64 b)) (neg.f64 (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 (neg.f64 b) r) (neg.f64 (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (/.f64 (*.f64 b r) 1) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (/.f64 (*.f64 b r) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (/.f64 (*.f64 b r) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (neg.f64 (*.f64 b r)) (neg.f64 (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 1)
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 b (cos.f64 a)) r)) 2)
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 b (cos.f64 a)) r)) 3)
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(pow.f64 (pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 3) 1/3)
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 b r) (cos.f64 a)) 2))
(fabs.f64 (*.f64 r (/.f64 b (cos.f64 a))))
(fabs.f64 (/.f64 (*.f64 b r) (cos.f64 a)))
(log.f64 (pow.f64 (exp.f64 r) (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 b (cos.f64 a)) r))))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 3))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 b (cos.f64 a)) r)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(exp.f64 (log.f64 (*.f64 (/.f64 b (cos.f64 a)) r)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 b (cos.f64 a)) r)) 1))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 b (cos.f64 a)) r)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 b) r)
✓	0.2b	(/.f64 1 (cos.f64 (+.f64 b a)))
✓	0.2b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) r))
	3.9b	(cos.f64 (+.f64 b a))

Compiler

Compiled 37 to 13 computations (64.9% saved)

series9.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	(*.f64 (sin.f64 b) r)
1.0ms	a	@	0	(/.f64 1 (cos.f64 (+.f64 b a)))
0.0ms	b	@	0	(/.f64 1 (cos.f64 (+.f64 b a)))
0.0ms	b	@	inf	(/.f64 1 (cos.f64 (+.f64 b a)))
0.0ms	b	@	-inf	(/.f64 1 (cos.f64 (+.f64 b a)))

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`associate-*r/`
988×	`associate-*l/`
656×	`associate-/l*`
646×	`associate-/r*`
562×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	272	55
2	3554	55

Stop Event

1×	node limit

Counts

3 → 176

Calls

Call 1

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

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

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

simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1638×	`associate-/l*`
990×	`times-frac`
758×	`associate-r`
692×	`associate-/l/`
622×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	597	10022
1	1565	9836

Stop Event

1×	node limit

Counts

240 → 295

Calls

Call 1

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

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

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 (.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b))
✓	0.2b	(*.f64 a (sin.f64 b))
✓	0.5b	(/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (.f64 a (sin.f64 b))))
✓	3.6b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))))

Compiler

Compiled 94 to 41 computations (56.4% saved)

series20.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	a	@	inf	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))))
1.0ms	r	@	0	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))))
1.0ms	b	@	inf	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))))
1.0ms	b	@	0	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))))
1.0ms	b	@	-inf	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))))

rewrite118.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1342×	`associate-/r*`
1072×	`associate-/l*`
440×	`associate-+l+`
400×	`add-sqr-sqrt`
390×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	144
1	387	144
2	5182	144

Stop Event

1×	node limit

Counts

4 → 179

Calls

Call 1

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

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

simplify143.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1098×	`associate-/l*`
824×	`times-frac`
728×	`associate-r`
672×	`*-commutative`
646×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	686	18461
1	1957	18123

Stop Event

1×	node limit

Counts

287 → 339

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 b r) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 a (.f64 (pow.f64 b 2) r)) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2)) (/.f64 (.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 (/.f64 (.f64 a (.f64 r (pow.f64 b 2))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2)) (/.f64 (.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))))
(+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 (/.f64 (.f64 a (.f64 r (pow.f64 b 2))) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 a r) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 (.f64 -1/6 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) r) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3))) (.f64 -1/2 (/.f64 r (+.f64 1 (.f64 -1/2 (pow.f64 a 2)))))))) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (.f64 1/6 (/.f64 (.f64 a r) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2))))) (pow.f64 b 4))) (/.f64 (.f64 r b) (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (cos.f64 b)) (.f64 (sin.f64 b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2)))) (pow.f64 a 3))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b))))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (.f64 (pow.f64 a 2) (cos.f64 b)))))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 4))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (sin.f64 b)) (cos.f64 b)))) (pow.f64 a 5))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 4))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (.f64 (pow.f64 a 2) (cos.f64 b)))))))
(.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b))))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (.f64 (pow.f64 a 2) (cos.f64 b)))))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 4))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b))))))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (.f64 (pow.f64 a 3) (pow.f64 (cos.f64 b) 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (.f64 (pow.f64 a 5) (cos.f64 b)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 4 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 4))) (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (.f64 (pow.f64 a 5) (pow.f64 (cos.f64 b) 2)))) (.f64 -2 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (pow.f64 a 2) (cos.f64 b))))))))
(/.f64 b (+.f64 1 (*.f64 -1/2 (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 a (pow.f64 b 2)) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2)) (/.f64 b (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))
(+.f64 (/.f64 (.f64 a (pow.f64 b 2)) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3))) (.f64 1/6 (/.f64 1 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))) (pow.f64 b 3)) (/.f64 b (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))
(+.f64 (/.f64 (.f64 a (pow.f64 b 2)) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3))) (.f64 1/6 (/.f64 1 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))) (pow.f64 b 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 b 4) (+.f64 (.f64 -1/2 (/.f64 a (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 3))) (.f64 1/6 (/.f64 1 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))))) a) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))) (.f64 1/6 (/.f64 a (pow.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) 2))))))) (/.f64 b (+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))))))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 (sin.f64 b) a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (sqrt.f64 (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 (sin.f64 b) a)))) (/.f64 (cbrt.f64 (sin.f64 b)) (sqrt.f64 (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (pow.f64 (cbrt.f64 (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 (sin.f64 b) a))) 2)) (cbrt.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)))))
(pow.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a))) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a))) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) (sin.f64 b)) -1)
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 (sin.f64 b) a)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) a))) 1)
(pow.f64 (*.f64 (sin.f64 b) a) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) a)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) a)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 b) a) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) a) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 b)) a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) a))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) a) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) a)))
(exp.f64 (log.f64 (*.f64 (sin.f64 b) a)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 b) a)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) a)))
(+.f64 (cos.f64 b) (.f64 (cos.f64 b) (.f64 -1/2 (*.f64 a a))))
(+.f64 (cos.f64 b) (.f64 (.f64 -1/2 (*.f64 a a)) (cos.f64 b)))
(+.f64 (.f64 (cos.f64 b) (.f64 -1/2 (*.f64 a a))) (cos.f64 b))
(+.f64 (.f64 (.f64 -1/2 (*.f64 a a)) (cos.f64 b)) (cos.f64 b))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 b))) (-.f64 1 (.f64 (cos.f64 b) (.f64 -1/2 (*.f64 a a)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 b))) (-.f64 1 (.f64 (.f64 -1/2 (*.f64 a a)) (cos.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 b) (.f64 -1/2 (*.f64 a a))) (exp.f64 (log1p.f64 (cos.f64 b)))) 1)
(-.f64 (+.f64 (.f64 (.f64 -1/2 (*.f64 a a)) (cos.f64 b)) (exp.f64 (log1p.f64 (cos.f64 b)))) 1)
(/.f64 (cos.f64 b) (/.f64 1 (fma.f64 -1/2 (*.f64 a a) 1)))
(/.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1) (/.f64 (fma.f64 -1/2 (.f64 a a) -1) (cos.f64 b)))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) -1/8)) (/.f64 (-.f64 1 (-.f64 (.f64 -1/2 (.f64 a a)) (*.f64 (pow.f64 a 4) 1/4))) (cos.f64 b)))
(/.f64 (.f64 (cos.f64 b) (+.f64 (.f64 (pow.f64 a 4) 1/4) -1)) (fma.f64 -1/2 (*.f64 a a) -1))
(/.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) -1/8))) (-.f64 1 (-.f64 (.f64 -1/2 (.f64 a a)) (.f64 (pow.f64 a 4) 1/4))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1) (cos.f64 b)) (fma.f64 -1/2 (*.f64 a a) -1))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) -1/8)) (cos.f64 b)) (-.f64 1 (-.f64 (.f64 -1/2 (.f64 a a)) (.f64 (pow.f64 a 4) 1/4))))
(/.f64 (/.f64 (.f64 (cos.f64 b) (+.f64 (.f64 (pow.f64 a 4) 1/4) -1)) 1) (fma.f64 -1/2 (*.f64 a a) -1))
(/.f64 (/.f64 (.f64 (cos.f64 b) (+.f64 (.f64 (pow.f64 a 4) 1/4) -1)) (sqrt.f64 (fma.f64 -1/2 (.f64 a a) -1))) (sqrt.f64 (fma.f64 -1/2 (.f64 a a) -1)))
(/.f64 (/.f64 (.f64 (cos.f64 b) (+.f64 (.f64 (pow.f64 a 4) 1/4) -1)) (.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 a a) -1)) (cbrt.f64 (fma.f64 -1/2 (.f64 a a) -1)))) (cbrt.f64 (fma.f64 -1/2 (.f64 a a) -1)))
(/.f64 (/.f64 (.f64 (cos.f64 b) (+.f64 (.f64 (pow.f64 a 4) 1/4) -1)) (+.f64 1 (.f64 a (sqrt.f64 -1/2)))) (-.f64 (.f64 a (sqrt.f64 -1/2)) 1))
(/.f64 (/.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) -1/8))) 1) (-.f64 1 (-.f64 (.f64 -1/2 (.f64 a a)) (.f64 (pow.f64 a 4) 1/4))))
(/.f64 (/.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) -1/8))) (sqrt.f64 (-.f64 1 (-.f64 (.f64 -1/2 (.f64 a a)) (.f64 (pow.f64 a 4) 1/4))))) (sqrt.f64 (-.f64 1 (-.f64 (.f64 -1/2 (.f64 a a)) (*.f64 (pow.f64 a 4) 1/4)))))
(/.f64 (/.f64 (.f64 (cos.f64 b) (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) -1/8))) (.f64 (cbrt.f64 (-.f64 1 (-.f64 (.f64 -1/2 (.f64 a a)) (.f64 (pow.f64 a 4) 1/4)))) (cbrt.f64 (-.f64 1 (-.f64 (.f64 -1/2 (.f64 a a)) (.f64 (pow.f64 a 4) 1/4)))))) (cbrt.f64 (-.f64 1 (-.f64 (.f64 -1/2 (.f64 a a)) (*.f64 (pow.f64 a 4) 1/4)))))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1) (cos.f64 b)) 1) (fma.f64 -1/2 (*.f64 a a) -1))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1) (cos.f64 b)) (sqrt.f64 (fma.f64 -1/2 (.f64 a a) -1))) (sqrt.f64 (fma.f64 -1/2 (.f64 a a) -1)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1) (cos.f64 b)) (.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 a a) -1)) (cbrt.f64 (fma.f64 -1/2 (.f64 a a) -1)))) (cbrt.f64 (fma.f64 -1/2 (.f64 a a) -1)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 a 4) 1/4) -1) (cos.f64 b)) (+.f64 1 (.f64 a (sqrt.f64 -1/2)))) (-.f64 (.f64 a (sqrt.f64 -1/2)) 1))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) -1/8)) (cos.f64 b)) 1) (-.f64 1 (-.f64 (.f64 -1/2 (.f64 a a)) (.f64 (pow.f64 a 4) 1/4))))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) -1/8)) (cos.f64 b)) (sqrt.f64 (-.f64 1 (-.f64 (.f64 -1/2 (.f64 a a)) (.f64 (pow.f64 a 4) 1/4))))) (sqrt.f64 (-.f64 1 (-.f64 (.f64 -1/2 (.f64 a a)) (*.f64 (pow.f64 a 4) 1/4)))))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 a a) 3) -1/8)) (cos.f64 b)) (.f64 (cbrt.f64 (-.f64 1 (-.f64 (.f64 -1/2 (.f64 a a)) (.f64 (pow.f64 a 4) 1/4)))) (cbrt.f64 (-.f64 1 (-.f64 (.f64 -1/2 (.f64 a a)) (.f64 (pow.f64 a 4) 1/4)))))) (cbrt.f64 (-.f64 1 (-.f64 (.f64 -1/2 (.f64 a a)) (*.f64 (pow.f64 a 4) 1/4)))))
(pow.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) 1)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b))) 2)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b))) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 b)) (fma.f64 -1/2 (*.f64 a a) 1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) 3))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b))))
(exp.f64 (log.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b))) 1))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b))))

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 3)
	3.9b	(cos.f64 (+.f64 b a))
✓	6.3b	(cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))

Compiler

Compiled 53 to 12 computations (77.4% saved)

series53.0ms (0.3%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
18.0ms	b	@	0	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 3)
9.0ms	b	@	0	(cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))
4.0ms	a	@	0	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 3)
4.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 3)
3.0ms	b	@	inf	(cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))

rewrite110.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`associate-*r/`
1234×	`associate-*l/`
942×	`associate-/r*`
702×	`associate-/l*`
300×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	85
1	305	85
2	3813	85

Stop Event

1×	node limit

Counts

3 → 355

Calls

Call 1

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

Outputs

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

simplify228.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1590×	`associate-/l*`
1110×	`associate-r`
940×	`associate-l`
906×	`times-frac`
714×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	708	24569
1	1929	24449

Stop Event

1×	node limit

Counts

431 → 345

Calls

Call 1

Inputs
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b)))) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1/3)
(+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (*.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/9) a)))
(+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) 1/3) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (*.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/9) a))))
(+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) 1/3) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/9) a)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) 1/3) (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 1/27 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 13) (.f64 1 (pow.f64 r 4))) (pow.f64 (cos.f64 b) 13)) 1/9) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))))))))))))))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a)))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a)))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a)))) 1/3)
(pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a)))) 1/3)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (pow.f64 1 1/3))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b)))))
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(/.f64 (.f64 (neg.f64 (.f64 (sin.f64 b) r)) 1) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (sqrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))) (sqrt.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 1 (/.f64 (sin.f64 b) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (*.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) (sqrt.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 r)) (/.f64 (sin.f64 b) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) (/.f64 r (cbrt.f64 (cos.f64 (+.f64 b a))))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(/.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 (pow.f64 (cbrt.f64 r) 2))) (/.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))) (pow.f64 (cbrt.f64 r) 2))) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (cbrt.f64 r)))
(/.f64 (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) (pow.f64 (cbrt.f64 r) 2))) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (cbrt.f64 r)))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cbrt.f64 (cos.f64 (+.f64 b a)))) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.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 (cbrt.f64 (pow.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)) (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (cbrt.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) 1) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (cbrt.f64 (cos.f64 (+.f64 b a)))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r)) 1) (sqrt.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r)) (cbrt.f64 (cos.f64 (+.f64 b a)))) (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r)) (sqrt.f64 (sqrt.f64 (cos.f64 (+.f64 b a))))) (sqrt.f64 (sqrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (sqrt.f64 (cbrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) r)) 1) (cbrt.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) r)) (sqrt.f64 (cbrt.f64 (cos.f64 (+.f64 b a))))) (sqrt.f64 (cbrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) r)) (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 b a))))) (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) r)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)) r)) (*.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 (sin.f64 b) r)) 1) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (sqrt.f64 (cos.f64 (+.f64 b a)))) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (neg.f64 (cbrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 b a))))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 b) 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 (neg.f64 (*.f64 (sin.f64 b) r)) -1) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 b a))))) (sqrt.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))) (cbrt.f64 (cos.f64 (+.f64 b a))))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) 3)
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) 2) 3/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) 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)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) 3) (pow.f64 (sin.f64 b) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 b) 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 (*.f64 (sin.f64 b) r) (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 (*.f64 (sin.f64 b) r) (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 (*.f64 (sin.f64 b) r) (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 (*.f64 (sin.f64 b) r) (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 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 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 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 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 b)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))
(cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (*.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/9) a)))
(+.f64 (.f64 1/3 (.f64 a (*.f64 (pow.f64 (/.f64 (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 r 7)) (pow.f64 (cos.f64 b) 16)) 1/18)) (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (pow.f64 r 7)) (pow.f64 (cos.f64 b) 16)) 1/18))) (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))))
(+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) 1/3) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (*.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/9) a))))
(+.f64 (fma.f64 -1/3 (.f64 (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 -1/2 (.f64 (sin.f64 b) r)) (cos.f64 b)))))) (.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 (fma.f64 -1/3 (.f64 (-.f64 (fma.f64 1/3 (.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 35) (pow.f64 (cos.f64 b) 35)) (pow.f64 r 17)) 1/18) (pow.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 35) (pow.f64 (cos.f64 b) 35)) (pow.f64 r 17)) 1/18)) (.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) -1/2)) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) r)) (.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r (.f64 r (pow.f64 (sin.f64 b) 2))))) (.f64 a a))) (.f64 1/3 (.f64 (.f64 a (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (pow.f64 r 7)) (pow.f64 (cos.f64 b) 16)) 1/18)) (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (pow.f64 r 7)) (pow.f64 (cos.f64 b) 16)) 1/18)))) (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))))
(+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) 1/3) (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/9) a)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) 1/3) (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 1/27 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 16) (.f64 1 (pow.f64 r 7))) (pow.f64 (cos.f64 b) 16)) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 13) (.f64 1 (pow.f64 r 4))) (pow.f64 (cos.f64 b) 13)) 1/9) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (+.f64 (.f64 1/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 35) (.f64 1 (pow.f64 r 17))) (pow.f64 (cos.f64 b) 35)) 1/9)) (.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))))))))))))))
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))

eval632.0ms (4%)

Compiler: Compiled 45254 to 17798 computations (60.7% saved)

prune657.0ms (4.2%)

Pruning

79 alts after pruning (76 fresh and 3 done)

	Pruned	Kept	Total
New	1546	43	1589
Fresh	14	33	47
Picked	1	0	1
Done	2	3	5
Total	1563	79	1642

Error

0.0b

Counts

1642 → 79

Alt Table

Click to see full alt table

Status	Error	Program
	41.9b	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) 3)
	25.3b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) 3)
	1.3b	(pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) 3)
	30.9b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (fabs.f64 (cos.f64 (+.f64 a b)))))) 3)
	31.0b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 3)
	25.3b	(pow.f64 (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))) 3)
	41.6b	(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (+.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))) (-.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	41.6b	(/.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))) (-.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
	14.8b	(/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (cos.f64 (+.f64 b a)))
	14.8b	(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 1 (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))))
	24.8b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	34.1b	(/.f64 (*.f64 r b) (cos.f64 a))
	44.4b	(/.f64 (.f64 b r) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
	14.8b	(/.f64 (sin.f64 b) (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) -1))
	0.4b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) r))
	25.9b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) r))
	32.6b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) r))
▶	30.5b	(/.f64 (sin.f64 b) (/.f64 (fabs.f64 (cos.f64 (+.f64 a b))) r))
	24.9b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	30.6b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
	0.4b	(/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 b) (/.f64 r (cos.f64 a))) (/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))))
	0.4b	(/.f64 (sin.f64 b) (-.f64 (.f64 (/.f64 (cos.f64 b) r) (cos.f64 a)) (.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))))
	0.4b	(/.f64 (sin.f64 b) (+.f64 (.f64 (/.f64 1 r) (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (/.f64 1 r) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	14.8b	(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
	27.5b	(/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
	41.2b	(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
	14.8b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	24.8b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
	34.2b	(/.f64 r (/.f64 (cos.f64 a) b))
	44.4b	(/.f64 b (/.f64 (fma.f64 -1/2 (*.f64 a a) 1) r))
	34.2b	(/.f64 b (/.f64 (cos.f64 a) r))
	14.9b	(/.f64 1 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 b)))
	34.2b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 b r)))
	50.5b	(*.f64 (pow.f64 (pow.f64 (/.f64 b (cos.f64 a)) 3) 1/3) r)
	0.5b	(.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) 3)) r)) (+.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))))))
	24.8b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	14.7b	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	34.1b	(*.f64 (/.f64 r (cos.f64 a)) b)
✓	34.1b	(*.f64 (/.f64 b (cos.f64 a)) r)
	34.7b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (+.f64 b (*.f64 (pow.f64 b 3) -1/6))))
	34.1b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r b))
	32.9b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (fabs.f64 (.f64 r (sin.f64 b))))
	24.6b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (expm1.f64 (log1p.f64 (.f64 (sin.f64 b) r))))
▶	24.8b	(.f64 (/.f64 1 (cos.f64 b)) (.f64 (sin.f64 b) r))
	30.6b	(.f64 (/.f64 1 (cos.f64 a)) (.f64 (sin.f64 b) r))
	46.9b	(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 b r))
	0.4b	(.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2)))) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
▶	30.5b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2)) (.f64 (sin.f64 b) r))
	50.2b	(*.f64 (exp.f64 (log.f64 (/.f64 b (cos.f64 a)))) r)
	14.8b	(*.f64 r (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) -1))
	15.3b	(*.f64 r (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))))))
	15.0b	(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)))
	0.8b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 3) (*.f64 (sin.f64 b) (sin.f64 a)))))
	26.0b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 b) (/.f64 1 (fma.f64 -1/2 (.f64 a a) 1))) (*.f64 a (sin.f64 b)))))
	25.9b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
✓	26.0b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))))
✓	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	21.8b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)))))
	23.8b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))
	29.8b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a)))))
	14.8b	(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))
	30.5b	(*.f64 r (/.f64 (sin.f64 b) (fabs.f64 (cos.f64 (+.f64 a b)))))
	30.6b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
	44.3b	(.f64 r (/.f64 b (fma.f64 -1/2 (.f64 a a) 1)))
	14.7b	(.f64 r (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
	59.6b	(.f64 r (.f64 -2 (/.f64 (sin.f64 b) (.f64 (.f64 a a) (cos.f64 b)))))
	15.1b	(*.f64 r (log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	35.1b	(*.f64 r (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
	19.2b	(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
▶	44.0b	(*.f64 b r)
	34.5b	(fabs.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	34.5b	(fabs.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))
	38.6b	(expm1.f64 (log1p.f64 (*.f64 (/.f64 b (cos.f64 a)) r)))
	37.6b	(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
	47.4b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 3))

Compiler

Compiled 2477 to 1653 computations (33.3% saved)

localize19.0ms (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))
✓	0.3b	(/.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)

series4.0ms (0%)

Counts

3 → 24

Calls

21 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))))
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))))
0.0ms	a	@	0	(/.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))))

rewrite102.0ms (0.7%)

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	81
1	328	57
2	4709	57

Stop Event

1×	node limit

Counts

3 → 86

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 (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 (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))))))))

simplify438.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1150×	`associate-/r*`
886×	`distribute-lft-in`
882×	`distribute-rgt-in`
622×	`associate-/l/`
608×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	372	4698
1	1013	4508
2	3876	4496

Stop Event

1×	node limit

Counts

110 → 208

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

localize4.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 12 computations (55.6% saved)

series3.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite109.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

998×	`*-commutative`
822×	`unswap-sqr`
626×	`swap-sqr`
568×	`associate-*r/`
550×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	216	32
2	2609	32

Stop Event

1×	node limit

Counts

2 → 136

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (cos.f64 b) (*.f64 r (sqrt.f64 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (/.f64 (cos.f64 b) r) (sqrt.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (/.f64 (cos.f64 b) (sqrt.f64 (*.f64 (sin.f64 b) r))) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 r) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sqrt.f64 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 r) (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 r) (/.f64 (/.f64 (cos.f64 b) (sqrt.f64 (*.f64 (sin.f64 b) r))) (sqrt.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (/.f64 (cos.f64 b) (sqrt.f64 (*.f64 (sin.f64 b) r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 b)) (/.f64 (/.f64 (cos.f64 b) r) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (/.f64 (/.f64 (cos.f64 b) r) (cbrt.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (/.f64 (cos.f64 b) (*.f64 r (cbrt.f64 (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 r) (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (pow.f64 (cbrt.f64 r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 r) 2) (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 r) 2) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) (cbrt.f64 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (/.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (/.f64 (/.f64 (cos.f64 b) (sqrt.f64 (*.f64 (sin.f64 b) r))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (/.f64 (/.f64 (cos.f64 b) (cbrt.f64 (*.f64 (sin.f64 b) r))) (cbrt.f64 (*.f64 (sin.f64 b) r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) (/.f64 (cos.f64 b) (cbrt.f64 (*.f64 (sin.f64 b) r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 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simplify126.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1078×	`unswap-sqr`
786×	`associate-/l*`
512×	`associate-/l/`
420×	`distribute-lft-in`
418×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	398	5084
1	971	4906
2	4026	4860

Stop Event

1×	node limit

Counts

164 → 226

Calls

Call 1

Inputs
(*.f64 r b)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
1
(+.f64 1 (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (+.f64 (.f64 5/24 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 2))))
(+.f64 1 (+.f64 (.f64 61/720 (pow.f64 b 6)) (+.f64 (.f64 5/24 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) 1)
(/.f64 1 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) 1)
(/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (cos.f64 b) (*.f64 r (sqrt.f64 (sin.f64 b)))))
(/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (/.f64 (cos.f64 b) r) (sqrt.f64 (sin.f64 b))))
(/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (/.f64 (cos.f64 b) (sqrt.f64 (*.f64 (sin.f64 b) r))) (sqrt.f64 r)))
(/.f64 (sqrt.f64 r) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sqrt.f64 r))))
(/.f64 (sqrt.f64 r) (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (sqrt.f64 r)))
(/.f64 (sqrt.f64 r) (/.f64 (/.f64 (cos.f64 b) (sqrt.f64 (*.f64 (sin.f64 b) r))) (sqrt.f64 (sin.f64 b))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (/.f64 (cos.f64 b) (sqrt.f64 (.f64 (sin.f64 b) r))))
(/.f64 (cbrt.f64 (sin.f64 b)) (/.f64 (/.f64 (cos.f64 b) r) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (/.f64 (/.f64 (cos.f64 b) r) (cbrt.f64 (sin.f64 b))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (/.f64 (cos.f64 b) (*.f64 r (cbrt.f64 (sin.f64 b)))))
(/.f64 (cbrt.f64 r) (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (pow.f64 (cbrt.f64 r) 2)))
(/.f64 (pow.f64 (cbrt.f64 r) 2) (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cbrt.f64 r)))
(/.f64 (pow.f64 (cbrt.f64 r) 2) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) (cbrt.f64 r))))
(/.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (/.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2)))
(/.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (/.f64 (/.f64 (cos.f64 b) (sqrt.f64 (.f64 (sin.f64 b) r))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)))))
(/.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (/.f64 (/.f64 (cos.f64 b) (cbrt.f64 (.f64 (sin.f64 b) r))) (cbrt.f64 (*.f64 (sin.f64 b) r))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (/.f64 (cos.f64 b) (cbrt.f64 (.f64 (sin.f64 b) r))))
(/.f64 -1 (/.f64 (neg.f64 (cos.f64 b)) (*.f64 (sin.f64 b) r)))
(/.f64 (sqrt.f64 (sqrt.f64 (.f64 (sin.f64 b) r))) (/.f64 (/.f64 (cos.f64 b) (sqrt.f64 (.f64 (sin.f64 b) r))) (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2)) (/.f64 (/.f64 (cos.f64 b) (sqrt.f64 (.f64 (sin.f64 b) r))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2)) (/.f64 (/.f64 (cos.f64 b) (cbrt.f64 (.f64 (sin.f64 b) r))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2))) (/.f64 (/.f64 (cos.f64 b) (cbrt.f64 (.f64 (sin.f64 b) r))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2))))
(/.f64 (.f64 (.f64 (sin.f64 b) r) (cbrt.f64 (pow.f64 (cos.f64 b) -2))) (cbrt.f64 (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) (sqrt.f64 r)) (/.f64 (cos.f64 b) (sqrt.f64 r)))
(/.f64 (*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 r) 2)) (/.f64 (cos.f64 b) (cbrt.f64 r)))
(/.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (/.f64 (cos.f64 b) (sqrt.f64 (sin.f64 b))))
(/.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 2)) (/.f64 (cos.f64 b) (cbrt.f64 (sin.f64 b))))
(/.f64 (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 b)) r)) (pow.f64 (cbrt.f64 (cos.f64 b)) 2))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (cos.f64 b))
(/.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 b)) r)) (sqrt.f64 (cos.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) r)) (cbrt.f64 (cos.f64 b)))
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (sqrt.f64 (*.f64 (sin.f64 b) r))) (sqrt.f64 (cos.f64 b)))
(/.f64 (*.f64 1 (/.f64 (sin.f64 b) (/.f64 1 r))) (cos.f64 b))
(/.f64 (*.f64 1 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 b)) r))) (sqrt.f64 (cos.f64 b)))
(/.f64 (*.f64 1 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) r))) (cbrt.f64 (cos.f64 b)))
(/.f64 (.f64 r (.f64 (sin.f64 b) -1)) (neg.f64 (cos.f64 b)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) 2) (cbrt.f64 (*.f64 (sin.f64 b) r))) (cbrt.f64 (cos.f64 b)))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 b)) r)) 1) (sqrt.f64 (cos.f64 b)))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 b)) r)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 b))))
(/.f64 (.f64 (.f64 (*.f64 (sin.f64 b) r) (cbrt.f64 (pow.f64 (cos.f64 b) -2))) 1) (cbrt.f64 (cos.f64 b)))
(/.f64 (.f64 (.f64 (*.f64 (sin.f64 b) r) (cbrt.f64 (pow.f64 (cos.f64 b) -2))) -1) (cbrt.f64 (neg.f64 (cos.f64 b))))
(/.f64 (*.f64 (/.f64 (sin.f64 b) 1) r) (cos.f64 b))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b))) r) (sqrt.f64 (cos.f64 b)))
(/.f64 (*.f64 (/.f64 r (sqrt.f64 (cos.f64 b))) (sin.f64 b)) (sqrt.f64 (cos.f64 b)))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) r) (cbrt.f64 (cos.f64 b)))
(/.f64 (*.f64 (/.f64 r 1) (sin.f64 b)) (cos.f64 b))
(/.f64 (.f64 (/.f64 r 1) (.f64 (sin.f64 b) -1)) (neg.f64 (cos.f64 b)))
(/.f64 (*.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (sin.f64 b)) (cbrt.f64 (cos.f64 b)))
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) 1) (sqrt.f64 (*.f64 (sin.f64 b) r))) (cos.f64 b))
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (sqrt.f64 (*.f64 (sin.f64 b) r))) (cbrt.f64 (cos.f64 b)))
(/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) 1) (cbrt.f64 (*.f64 (sin.f64 b) r))) (cos.f64 b))
(/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (sqrt.f64 (cos.f64 b))) (cbrt.f64 (*.f64 (sin.f64 b) r))) (sqrt.f64 (cos.f64 b)))
(/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (cbrt.f64 (*.f64 (sin.f64 b) r))) (cbrt.f64 (cos.f64 b)))
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) (sqrt.f64 (cos.f64 b)))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) 1) (cos.f64 b))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) r)) 1) (cbrt.f64 (cos.f64 b)))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 b)) r))) (sqrt.f64 (neg.f64 (cos.f64 b))))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) 2)) (cbrt.f64 (cos.f64 b)))
(/.f64 (.f64 (.f64 (sin.f64 b) -1) r) (neg.f64 (cos.f64 b)))
(/.f64 (*.f64 1 (/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (cos.f64 b)) r))) (pow.f64 (cbrt.f64 (cos.f64 b)) 2))
(/.f64 (*.f64 (sin.f64 b) (/.f64 r (sqrt.f64 (cos.f64 b)))) (sqrt.f64 (cos.f64 b)))
(/.f64 (*.f64 r (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b)))) (sqrt.f64 (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) (/.f64 r (cbrt.f64 (cos.f64 b)))) (pow.f64 (cbrt.f64 (cos.f64 b)) 2))
(/.f64 (*.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 b)))) (pow.f64 (cbrt.f64 (cos.f64 b)) 2))
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (cbrt.f64 (cos.f64 b)))) (pow.f64 (cbrt.f64 (cos.f64 b)) 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (/.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (sqrt.f64 (cos.f64 b)))) (sqrt.f64 (cos.f64 b)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) (pow.f64 (cbrt.f64 (cos.f64 b)) 2))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) 1) (neg.f64 (cos.f64 b)))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (sqrt.f64 (cos.f64 b))) (neg.f64 (sqrt.f64 (cos.f64 b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (neg.f64 (cbrt.f64 (cos.f64 b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) -1) (cos.f64 b))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (sqrt.f64 (neg.f64 (cos.f64 b)))) (sqrt.f64 (neg.f64 (cos.f64 b))))
(/.f64 (/.f64 (.f64 (sin.f64 b) (neg.f64 r)) (.f64 (cbrt.f64 (neg.f64 (cos.f64 b))) (cbrt.f64 (neg.f64 (cos.f64 b))))) (cbrt.f64 (neg.f64 (cos.f64 b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (sqrt.f64 (cos.f64 b)))) (sqrt.f64 (cos.f64 b)))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2))) (cbrt.f64 (cos.f64 b)))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) 1) (cos.f64 b))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 b)) r)) 1) (sqrt.f64 (cos.f64 b)))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 b)) r)) (cbrt.f64 (cos.f64 b))) (cbrt.f64 (sqrt.f64 (cos.f64 b))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 b)) r)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 b))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 b)) r)) (sqrt.f64 (sqrt.f64 (cos.f64 b)))) (sqrt.f64 (sqrt.f64 (cos.f64 b))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) r)) 1) (cbrt.f64 (cos.f64 b)))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) r)) (sqrt.f64 (cbrt.f64 (cos.f64 b)))) (sqrt.f64 (cbrt.f64 (cos.f64 b))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) r)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 b))) (cbrt.f64 (cbrt.f64 (cos.f64 b))))) (cbrt.f64 (cbrt.f64 (cos.f64 b))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) r)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 b))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) r)) (cbrt.f64 (sqrt.f64 (cos.f64 b)))) (cbrt.f64 (sqrt.f64 (cos.f64 b))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) (exp.f64 (log1p.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) 1))
(pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) 3) 1/3)
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 b))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sin.f64 b) r) 3) (/.f64 1 (pow.f64 (cos.f64 b) 3))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 b)))) 1)
(*.f64 1 (/.f64 1 (cos.f64 b)))
(*.f64 (/.f64 1 (cos.f64 b)) 1)
(*.f64 (pow.f64 (cos.f64 b) -1/2) (pow.f64 (cos.f64 b) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 b))) (cbrt.f64 (pow.f64 (cos.f64 b) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2)) (/.f64 1 (cbrt.f64 (cos.f64 b))))
(*.f64 -1 (/.f64 -1 (cos.f64 b)))
(*.f64 (/.f64 -1 (cos.f64 b)) -1)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 b)) -1) (pow.f64 (sqrt.f64 (cos.f64 b)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 b)) -1))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) -1))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 b)))) (/.f64 1 (cbrt.f64 (cos.f64 b)))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 b)))) (/.f64 1 (cbrt.f64 (cos.f64 b)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2)))))
(.f64 (.f64 (/.f64 1 (cbrt.f64 (cos.f64 b))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 b))))) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 b))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 b))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2))) (cbrt.f64 (pow.f64 (cos.f64 b) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2))) (cbrt.f64 (pow.f64 (cos.f64 b) -1/2))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 b))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 b))) 3/2))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3)) 1/6))
(pow.f64 (cos.f64 b) -1)
(pow.f64 (/.f64 1 (cos.f64 b)) 1)
(pow.f64 (sqrt.f64 (cos.f64 b)) -2)
(pow.f64 (pow.f64 (cos.f64 b) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 b))) 3)
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3)) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 b) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 b)))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 b))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 b))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 b))))

Outputs
(*.f64 r b)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (.f64 r b))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3)))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r -1/30) (.f64 r -1/6)))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 r b (.f64 (pow.f64 b 5) (*.f64 r 2/15))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (.f64 r 1/3)))) (fma.f64 -1/720 r (.f64 (.f64 r 1/3) 1/24)))) (pow.f64 b 7) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (fma.f64 r -1/720 (.f64 r 1/72)))) (pow.f64 b 7) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r -1/30) (.f64 r -1/6))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (.f64 r 2/15) (.f64 r 1/80))) (pow.f64 b 7) (fma.f64 r b (.f64 (pow.f64 b 5) (.f64 r 2/15)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
1
(+.f64 1 (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (.f64 1/2 (.f64 b b)))
(fma.f64 1/2 (*.f64 b b) 1)
(+.f64 1 (+.f64 (.f64 5/24 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 2))))
(+.f64 1 (fma.f64 5/24 (pow.f64 b 4) (.f64 1/2 (.f64 b b))))
(+.f64 1 (fma.f64 1/2 (.f64 b b) (.f64 5/24 (pow.f64 b 4))))
(+.f64 1 (+.f64 (.f64 61/720 (pow.f64 b 6)) (+.f64 (.f64 5/24 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (fma.f64 61/720 (pow.f64 b 6) (fma.f64 5/24 (pow.f64 b 4) (.f64 1/2 (.f64 b b)))))
(+.f64 1 (fma.f64 61/720 (pow.f64 b 6) (fma.f64 1/2 (.f64 b b) (.f64 5/24 (pow.f64 b 4)))))
(+.f64 (fma.f64 1/2 (.f64 b b) 1) (fma.f64 61/720 (pow.f64 b 6) (.f64 5/24 (pow.f64 b 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) 1)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 1 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) 1)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (cos.f64 b) (*.f64 r (sqrt.f64 (sin.f64 b)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 b)) (.f64 r (sqrt.f64 (sin.f64 b))))
(.f64 (.f64 r (sqrt.f64 (sin.f64 b))) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 b)))
(.f64 (sqrt.f64 (sin.f64 b)) (.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 b)) r))
(/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (/.f64 (cos.f64 b) r) (sqrt.f64 (sin.f64 b))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 b)) (.f64 r (sqrt.f64 (sin.f64 b))))
(.f64 (.f64 r (sqrt.f64 (sin.f64 b))) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 b)))
(.f64 (sqrt.f64 (sin.f64 b)) (.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 b)) r))
(/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (/.f64 (cos.f64 b) (sqrt.f64 (*.f64 (sin.f64 b) r))) (sqrt.f64 r)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (cos.f64 b) (sqrt.f64 (.f64 r (sin.f64 b))))) (sqrt.f64 r))
(.f64 (sqrt.f64 r) (.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 b)) (sqrt.f64 (*.f64 r (sin.f64 b)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 b)) (.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (sqrt.f64 r)))
(/.f64 (sqrt.f64 r) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sqrt.f64 r))))
(.f64 (/.f64 (sqrt.f64 r) (cos.f64 b)) (.f64 (sin.f64 b) (sqrt.f64 r)))
(/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 b) (sqrt.f64 r)) (sqrt.f64 r)))
(.f64 (sqrt.f64 r) (.f64 (/.f64 (sqrt.f64 r) (cos.f64 b)) (sin.f64 b)))
(/.f64 (sqrt.f64 r) (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (sqrt.f64 r)))
(.f64 (/.f64 (sqrt.f64 r) (cos.f64 b)) (.f64 (sin.f64 b) (sqrt.f64 r)))
(/.f64 (sin.f64 b) (/.f64 (/.f64 (cos.f64 b) (sqrt.f64 r)) (sqrt.f64 r)))
(.f64 (sqrt.f64 r) (.f64 (/.f64 (sqrt.f64 r) (cos.f64 b)) (sin.f64 b)))
(/.f64 (sqrt.f64 r) (/.f64 (/.f64 (cos.f64 b) (sqrt.f64 (*.f64 (sin.f64 b) r))) (sqrt.f64 (sin.f64 b))))
(.f64 (/.f64 (sqrt.f64 r) (/.f64 (cos.f64 b) (sqrt.f64 (.f64 r (sin.f64 b))))) (sqrt.f64 (sin.f64 b)))
(.f64 (sqrt.f64 (sin.f64 b)) (.f64 (/.f64 (sqrt.f64 r) (cos.f64 b)) (sqrt.f64 (*.f64 r (sin.f64 b)))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (/.f64 (cos.f64 b) (sqrt.f64 (.f64 (sin.f64 b) r))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (cbrt.f64 (sin.f64 b)) (/.f64 (/.f64 (cos.f64 b) r) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 b)) (/.f64 (cos.f64 b) r)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))
(.f64 (cbrt.f64 (sin.f64 b)) (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (cos.f64 b)) r))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (/.f64 (/.f64 (cos.f64 b) r) (cbrt.f64 (sin.f64 b))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 b)) (/.f64 (cos.f64 b) r)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))
(.f64 (cbrt.f64 (sin.f64 b)) (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (cos.f64 b)) r))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (/.f64 (cos.f64 b) (*.f64 r (cbrt.f64 (sin.f64 b)))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 b)) (/.f64 (cos.f64 b) r)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))
(.f64 (cbrt.f64 (sin.f64 b)) (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (cos.f64 b)) r))
(/.f64 (cbrt.f64 r) (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (pow.f64 (cbrt.f64 r) 2)))
(*.f64 (/.f64 (cbrt.f64 r) (/.f64 (cos.f64 b) (sin.f64 b))) (pow.f64 (cbrt.f64 r) 2))
(.f64 (cbrt.f64 r) (.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) (cos.f64 b)) (sin.f64 b)))
(/.f64 (pow.f64 (cbrt.f64 r) 2) (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cbrt.f64 r)))
(*.f64 (/.f64 (cbrt.f64 r) (/.f64 (cos.f64 b) (sin.f64 b))) (pow.f64 (cbrt.f64 r) 2))
(.f64 (cbrt.f64 r) (.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) (cos.f64 b)) (sin.f64 b)))
(/.f64 (pow.f64 (cbrt.f64 r) 2) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) (cbrt.f64 r))))
(*.f64 (/.f64 (cbrt.f64 r) (/.f64 (cos.f64 b) (sin.f64 b))) (pow.f64 (cbrt.f64 r) 2))
(.f64 (cbrt.f64 r) (.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) (cos.f64 b)) (sin.f64 b)))
(/.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (/.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (/.f64 (/.f64 (cos.f64 b) (sqrt.f64 (.f64 (sin.f64 b) r))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)))))
(.f64 (/.f64 (cbrt.f64 (.f64 r (sin.f64 b))) (/.f64 (cos.f64 b) (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 b) (sqrt.f64 (.f64 r (sin.f64 b)))) (cbrt.f64 (sqrt.f64 (*.f64 r (sin.f64 b))))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 r (sin.f64 b)))) (.f64 (/.f64 (cbrt.f64 (.f64 r (sin.f64 b))) (cos.f64 b)) (sqrt.f64 (*.f64 r (sin.f64 b)))))
(/.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (/.f64 (/.f64 (cos.f64 b) (cbrt.f64 (.f64 (sin.f64 b) r))) (cbrt.f64 (*.f64 (sin.f64 b) r))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (/.f64 (cos.f64 b) (cbrt.f64 (.f64 (sin.f64 b) r))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 -1 (/.f64 (neg.f64 (cos.f64 b)) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (sqrt.f64 (sqrt.f64 (.f64 (sin.f64 b) r))) (/.f64 (/.f64 (cos.f64 b) (sqrt.f64 (.f64 (sin.f64 b) r))) (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)))))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 r (sin.f64 b)))) (/.f64 (cos.f64 b) (sqrt.f64 (.f64 r (sin.f64 b))))) (sqrt.f64 (sqrt.f64 (.f64 r (sin.f64 b)))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 r (sin.f64 b)))) (/.f64 (sqrt.f64 (sqrt.f64 (.f64 r (sin.f64 b)))) (/.f64 (cos.f64 b) (sqrt.f64 (.f64 r (sin.f64 b))))))
(/.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 r (sin.f64 b)))) (sqrt.f64 (sqrt.f64 (.f64 r (sin.f64 b))))) (/.f64 (cos.f64 b) (sqrt.f64 (.f64 r (sin.f64 b)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2)) (/.f64 (/.f64 (cos.f64 b) (sqrt.f64 (.f64 (sin.f64 b) r))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)))))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2)) (/.f64 (cos.f64 b) (sqrt.f64 (.f64 r (sin.f64 b))))) (sqrt.f64 (cbrt.f64 (.f64 r (sin.f64 b)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 r (sin.f64 b)))) (.f64 (/.f64 (fabs.f64 (cbrt.f64 (.f64 r (sin.f64 b)))) (cos.f64 b)) (sqrt.f64 (*.f64 r (sin.f64 b)))))
(.f64 (/.f64 (fabs.f64 (cbrt.f64 (.f64 r (sin.f64 b)))) (cos.f64 b)) (.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (sqrt.f64 (cbrt.f64 (*.f64 r (sin.f64 b))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2)) (/.f64 (/.f64 (cos.f64 b) (cbrt.f64 (.f64 (sin.f64 b) r))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2))))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2)) (/.f64 (cos.f64 b) (cbrt.f64 (.f64 r (sin.f64 b))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2)))
(.f64 (fabs.f64 (cbrt.f64 (.f64 r (sin.f64 b)))) (.f64 (/.f64 (fabs.f64 (cbrt.f64 (.f64 r (sin.f64 b)))) (cos.f64 b)) (cbrt.f64 (*.f64 r (sin.f64 b)))))
(/.f64 (.f64 (fabs.f64 (cbrt.f64 (.f64 r (sin.f64 b)))) (fabs.f64 (cbrt.f64 (.f64 r (sin.f64 b))))) (/.f64 (cos.f64 b) (cbrt.f64 (.f64 r (sin.f64 b)))))
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(/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 b)) (/.f64 r (sqrt.f64 (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b))) (/.f64 r (sqrt.f64 (cos.f64 b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2))) (cbrt.f64 (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) 1) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 b)) r)) 1) (sqrt.f64 (cos.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 b)) (/.f64 r (sqrt.f64 (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b))) (/.f64 r (sqrt.f64 (cos.f64 b))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 b)) r)) (cbrt.f64 (cos.f64 b))) (cbrt.f64 (sqrt.f64 (cos.f64 b))))
(/.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (cos.f64 b))) (cbrt.f64 (cos.f64 b))) (cbrt.f64 (sqrt.f64 (cos.f64 b))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 b))) (/.f64 (sqrt.f64 (cos.f64 b)) r)) (cbrt.f64 (sqrt.f64 (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (cbrt.f64 (sqrt.f64 (cos.f64 b)))) (/.f64 (/.f64 r (sqrt.f64 (cos.f64 b))) (cbrt.f64 (cos.f64 b))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 b)) r)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 b))))
(/.f64 (/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (cos.f64 b))) (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2))))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cbrt.f64 (cos.f64 b)))) (/.f64 (/.f64 r (sqrt.f64 (cos.f64 b))) (fabs.f64 (cbrt.f64 (cos.f64 b)))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 b)) r)) (sqrt.f64 (sqrt.f64 (cos.f64 b)))) (sqrt.f64 (sqrt.f64 (cos.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 b)) (/.f64 r (sqrt.f64 (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 b))) (/.f64 r (sqrt.f64 (cos.f64 b))))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) r)) 1) (cbrt.f64 (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) r)) (sqrt.f64 (cbrt.f64 (cos.f64 b)))) (sqrt.f64 (cbrt.f64 (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) r)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 b))) (cbrt.f64 (cbrt.f64 (cos.f64 b))))) (cbrt.f64 (cbrt.f64 (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) r)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 b)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 b))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2))))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 b)))) (/.f64 r (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2))))
(/.f64 (/.f64 r (/.f64 (cbrt.f64 (cbrt.f64 (cos.f64 b))) (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) r)) (cbrt.f64 (sqrt.f64 (cos.f64 b)))) (cbrt.f64 (sqrt.f64 (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 b)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 b))) (cbrt.f64 (sqrt.f64 (cos.f64 b)))))
(*.f64 (/.f64 r (cbrt.f64 (sqrt.f64 (cos.f64 b)))) (/.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (cbrt.f64 (sqrt.f64 (cos.f64 b)))) (/.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 b)))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) (exp.f64 (log1p.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) 1))
(/.f64 (.f64 (+.f64 1 (exp.f64 (log1p.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (+.f64 1 (exp.f64 (log1p.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))))))
(pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) 1)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) 2)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) 3)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) 3) 1/3)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 2))
(fabs.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(log.f64 (exp.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) 3))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sin.f64 b) r) 3) (/.f64 1 (pow.f64 (cos.f64 b) 3))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 b)))) 1)
(/.f64 1 (cos.f64 b))
(*.f64 1 (/.f64 1 (cos.f64 b)))
(/.f64 1 (cos.f64 b))
(*.f64 (/.f64 1 (cos.f64 b)) 1)
(/.f64 1 (cos.f64 b))
(*.f64 (pow.f64 (cos.f64 b) -1/2) (pow.f64 (cos.f64 b) -1/2))
(/.f64 1 (cos.f64 b))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 b))) (cbrt.f64 (pow.f64 (cos.f64 b) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2)) (/.f64 1 (cbrt.f64 (cos.f64 b))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2)) (cbrt.f64 (cos.f64 b)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2)) (/.f64 1 (cbrt.f64 (cos.f64 b))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2)) (cbrt.f64 (cos.f64 b)))
(*.f64 -1 (/.f64 -1 (cos.f64 b)))
(/.f64 1 (cos.f64 b))
(*.f64 (/.f64 -1 (cos.f64 b)) -1)
(/.f64 1 (cos.f64 b))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 b)) -1) (pow.f64 (sqrt.f64 (cos.f64 b)) -1))
(pow.f64 (sqrt.f64 (cos.f64 b)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 b)) -1))
(/.f64 1 (cos.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) -1))
(/.f64 1 (cos.f64 b))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 b)))) (/.f64 1 (cbrt.f64 (cos.f64 b)))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 b)))) (/.f64 1 (cbrt.f64 (cos.f64 b)))))
(/.f64 1 (cos.f64 b))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 b) -1/2))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 b) -1/2))))
(.f64 (.f64 (/.f64 1 (cbrt.f64 (cos.f64 b))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 b))))) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 b))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 b))))))
(/.f64 1 (cos.f64 b))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2))) (cbrt.f64 (pow.f64 (cos.f64 b) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2))) (cbrt.f64 (pow.f64 (cos.f64 b) -1/2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 b) -1/2))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -2)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 b) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 b) -1/2))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 b))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 b))) 3/2))
(/.f64 1 (cos.f64 b))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3)) 1/6))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3)))
(pow.f64 (cos.f64 b) -1)
(/.f64 1 (cos.f64 b))
(pow.f64 (/.f64 1 (cos.f64 b)) 1)
(/.f64 1 (cos.f64 b))
(pow.f64 (sqrt.f64 (cos.f64 b)) -2)
(pow.f64 (pow.f64 (cos.f64 b) -1/2) 2)
(/.f64 1 (cos.f64 b))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 b))) 3)
(/.f64 1 (cos.f64 b))
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3)))
(sqrt.f64 (pow.f64 (cos.f64 b) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 b))))
(/.f64 1 (cos.f64 b))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 b)))))
(/.f64 1 (cos.f64 b))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 b))))
(/.f64 1 (cos.f64 b))
(exp.f64 (neg.f64 (log.f64 (cos.f64 b))))
(/.f64 1 (cos.f64 b))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 b))))
(/.f64 1 (cos.f64 b))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (fabs.f64 (cos.f64 (+.f64 a b))) r)
✓	0.3b	(/.f64 (sin.f64 b) (/.f64 (fabs.f64 (cos.f64 (+.f64 a b))) r))
✓	3.9b	(cos.f64 (+.f64 a b))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series7.0ms (0%)

Counts

3 → 60

Calls

24 calls:

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

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1778×	`associate-*l/`
1626×	`associate-/l*`
626×	`associate-/r/`
358×	`associate-/l/`
288×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	265	55
2	3828	55

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

Outputs

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

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

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1582×	`distribute-lft-in`
764×	`times-frac`
710×	`associate-r`
578×	`associate-/l*`
576×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	422	7504
1	1155	6488
2	5786	6488

Stop Event

1×	node limit

Counts

216 → 245

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 b) r)
✓	0.2b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2)) (.f64 (sin.f64 b) r))
✓	0.3b	(pow.f64 (cos.f64 (+.f64 b a)) -2)
	3.9b	(cos.f64 (+.f64 b a))

Compiler

Compiled 45 to 17 computations (62.2% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(pow.f64 (cos.f64 (+.f64 b a)) -2)
1.0ms	a	@	0	(pow.f64 (cos.f64 (+.f64 b a)) -2)
1.0ms	a	@	-inf	(pow.f64 (cos.f64 (+.f64 b a)) -2)
1.0ms	b	@	inf	(pow.f64 (cos.f64 (+.f64 b a)) -2)
0.0ms	b	@	-inf	(pow.f64 (cos.f64 (+.f64 b a)) -2)

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`unswap-sqr`
920×	`swap-sqr`
578×	`distribute-rgt-in`
536×	`distribute-lft-in`
512×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	298	50
2	3767	44

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1408×	`associate-*r/`
1308×	`associate-/l*`
1170×	`associate-*l/`
938×	`associate-/r*`
512×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	5124
1	867	4722
2	3171	4710

Stop Event

1×	node limit

Counts

106 → 126

Calls

Call 1

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

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

eval277.0ms (1.8%)

Compiler: Compiled 21588 to 7782 computations (64% saved)

prune328.0ms (2.1%)

Pruning

84 alts after pruning (78 fresh and 6 done)

	Pruned	Kept	Total
New	946	22	968
Fresh	15	56	71
Picked	1	0	1
Done	1	6	7
Total	963	84	1047

Error

0.0b

Counts

1047 → 84

Alt Table

Click to see full alt table

Status	Error	Program
	41.9b	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) 3)
	25.3b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) 3)
	1.3b	(pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) 3)
	31.0b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 3)
	1.3b	(/.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))))
	41.6b	(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (+.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))) (-.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	41.6b	(/.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))) (-.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
	24.9b	(/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (cos.f64 b))
	14.8b	(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 1 (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))))
	21.8b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
✓	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
▶	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
	23.8b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 b))))
	29.8b	(/.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))
	34.1b	(/.f64 (*.f64 r b) (cos.f64 a))
	44.4b	(/.f64 (.f64 b r) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
	34.1b	(/.f64 (*.f64 b r) (cos.f64 (+.f64 b a)))
	14.8b	(/.f64 (sin.f64 b) (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) -1))
	0.4b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) r))
	25.9b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) r))
	32.6b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) r))
	30.7b	(/.f64 (sin.f64 b) (/.f64 (fabs.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3)) r))
	33.8b	(/.f64 (sin.f64 b) (/.f64 (fabs.f64 (cos.f64 b)) r))
	37.8b	(/.f64 (sin.f64 b) (/.f64 (fabs.f64 (cos.f64 a)) r))
	24.9b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	30.6b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
	0.4b	(/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 b) (/.f64 r (cos.f64 a))) (/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))))
	0.4b	(/.f64 (sin.f64 b) (-.f64 (.f64 (/.f64 (cos.f64 b) r) (cos.f64 a)) (.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))))
	0.4b	(/.f64 (sin.f64 b) (+.f64 (.f64 (/.f64 1 r) (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (/.f64 1 r) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	14.8b	(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
	27.5b	(/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
	41.2b	(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
	14.8b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	24.8b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
	34.2b	(/.f64 r (/.f64 (cos.f64 a) b))
	44.4b	(/.f64 b (/.f64 (fma.f64 -1/2 (*.f64 a a) 1) r))
	34.2b	(/.f64 b (/.f64 (cos.f64 a) r))
	14.9b	(/.f64 1 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 b)))
	24.8b	(/.f64 1 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))
	34.2b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 b r)))
	50.5b	(*.f64 (pow.f64 (pow.f64 (/.f64 b (cos.f64 a)) 3) 1/3) r)
	0.5b	(.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) 3)) r)) (+.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))))))
	24.8b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	24.8b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	34.1b	(*.f64 (/.f64 r (cos.f64 a)) b)
✓	34.1b	(*.f64 (/.f64 b (cos.f64 a)) r)
	34.7b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (+.f64 b (*.f64 (pow.f64 b 3) -1/6))))
	24.6b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (expm1.f64 (log1p.f64 (.f64 (sin.f64 b) r))))
✓	24.8b	(.f64 (/.f64 1 (cos.f64 b)) (.f64 (sin.f64 b) r))
	44.0b	(.f64 (/.f64 1 (cos.f64 b)) (.f64 r b))
▶	37.9b	(.f64 (/.f64 1 (cos.f64 b)) (fabs.f64 (.f64 r (sin.f64 b))))
	41.3b	(.f64 (/.f64 1 (cos.f64 b)) (exp.f64 (log.f64 (.f64 (sin.f64 b) r))))
	30.6b	(.f64 (/.f64 1 (cos.f64 a)) (.f64 (sin.f64 b) r))
▶	46.9b	(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 b r))
	44.3b	(.f64 (+.f64 1 (.f64 1/2 (.f64 b b))) (.f64 (sin.f64 b) r))
	0.4b	(.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2)))) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
	14.7b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
	50.2b	(*.f64 (exp.f64 (log.f64 (/.f64 b (cos.f64 a)))) r)
	14.8b	(*.f64 r (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) -1))
	15.0b	(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)))
	26.0b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 b) (/.f64 1 (fma.f64 -1/2 (.f64 a a) 1))) (*.f64 a (sin.f64 b)))))
	25.9b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
✓	26.0b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))))
✓	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)))))
▶	23.8b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))
	29.8b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a)))))
	14.8b	(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))
	30.5b	(*.f64 r (/.f64 (sin.f64 b) (fabs.f64 (cos.f64 (+.f64 a b)))))
	30.6b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
	44.5b	(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
	14.7b	(.f64 r (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b)))
	15.1b	(*.f64 r (log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	35.1b	(*.f64 r (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
	19.2b	(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
✓	44.0b	(*.f64 b r)
	40.9b	(.f64 1 (.f64 (sin.f64 b) r))
	34.5b	(fabs.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))
	38.4b	(fabs.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
	38.6b	(expm1.f64 (log1p.f64 (*.f64 (/.f64 b (cos.f64 a)) r)))
	37.6b	(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
	41.7b	(exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))

Compiler

Compiled 2516 to 1696 computations (32.6% 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 b) (sin.f64 a))
✓	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))

Compiler

Compiled 72 to 14 computations (80.6% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`associate-/r*`
1736×	`associate-/l*`
400×	`associate-+l+`
374×	`add-sqr-sqrt`
370×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	51
1	364	27
2	4918	27

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))

Outputs

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

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1924×	`times-frac`
1062×	`associate-/r*`
712×	`unswap-sqr`
558×	`associate-/r/`
548×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	4183
1	645	4045
2	2683	4027

Stop Event

1×	node limit

Counts

81 → 93

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.5b	(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 b r))

Compiler

Compiled 37 to 18 computations (51.4% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 b r))
1.0ms	r	@	0	(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 b r))
1.0ms	a	@	0	(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 b r))
0.0ms	r	@	inf	(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 b r))
0.0ms	b	@	inf	(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 b r))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	248	27
2	3045	27

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

Outputs

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

simplify172.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1336×	`associate-/r*`
1172×	`*-commutative`
1046×	`associate-/l/`
968×	`associate-*r/`
804×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	222	4820
1	594	4548
2	2628	4548

Stop Event

1×	node limit

Counts

112 → 118

Calls

Call 1

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

Outputs
(*.f64 r b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 1/2 (.f64 (pow.f64 a 2) (*.f64 r b)))
(.f64 1/2 (.f64 (.f64 r b) (.f64 a a)))
(.f64 (.f64 (.f64 b (.f64 r 1/2)) a) a)
(.f64 b (.f64 1/2 (.f64 a (.f64 r a))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 1/2 (.f64 (pow.f64 a 2) (*.f64 r b)))
(.f64 1/2 (.f64 (.f64 r b) (.f64 a a)))
(.f64 (.f64 (.f64 b (.f64 r 1/2)) a) a)
(.f64 b (.f64 1/2 (.f64 a (.f64 r a))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 b r))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) 1) (*.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
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(exp.f64 (log.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 b r))))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 b r))) 1))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 b r))))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 b (.f64 r (fma.f64 1/2 (*.f64 a a) 1)))

localize195.0ms (1.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite62.0ms (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)))))))

simplify219.0ms (1.4%)

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)))

localize33.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 13 computations (60.6% saved)

series17.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	b	@	-inf	(.f64 (/.f64 1 (cos.f64 b)) (fabs.f64 (.f64 r (sin.f64 b))))
1.0ms	b	@	0	(.f64 (/.f64 1 (cos.f64 b)) (fabs.f64 (.f64 r (sin.f64 b))))
0.0ms	b	@	inf	(.f64 (/.f64 1 (cos.f64 b)) (fabs.f64 (.f64 r (sin.f64 b))))
0.0ms	r	@	inf	(.f64 (/.f64 1 (cos.f64 b)) (fabs.f64 (.f64 r (sin.f64 b))))
0.0ms	r	@	-inf	(.f64 (/.f64 1 (cos.f64 b)) (fabs.f64 (.f64 r (sin.f64 b))))

rewrite121.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

970×	`*-commutative`
786×	`unswap-sqr`
612×	`swap-sqr`
544×	`associate-/l*`
486×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	238	32
2	2920	32

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs

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

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

simplify135.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1038×	`associate-/l*`
1028×	`distribute-lft-in`
1010×	`distribute-rgt-in`
520×	`times-frac`
452×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	372	5333
1	931	4779
2	4953	4737

Stop Event

1×	node limit

Counts

169 → 199

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 10 computations (79.6% saved)

series40.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
32.0ms	r	@	0	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))
1.0ms	a	@	-inf	(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	b	@	-inf	(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	b	@	inf	(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	r	@	inf	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))

rewrite134.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`associate-*r/`
1430×	`associate-*l/`
1094×	`associate-/r*`
304×	`add-sqr-sqrt`
300×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	101
1	281	101
2	3938	101

Stop Event

1×	node limit

Counts

3 → 288

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify308.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1092×	`associate-r`
1012×	`associate-l`
734×	`associate-/r*`
728×	`*-commutative`
720×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	822	23794
1	2234	23376

Stop Event

1×	node limit

Counts

372 → 467

Calls

Call 1

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

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

eval430.0ms (2.7%)

Compiler: Compiled 29305 to 9442 computations (67.8% saved)

prune526.0ms (3.4%)

Pruning

95 alts after pruning (84 fresh and 11 done)

	Pruned	Kept	Total
New	1178	23	1201
Fresh	12	61	73
Picked	0	1	1
Done	0	10	10
Total	1190	95	1285

Error

0.0b

Counts

1285 → 95

Alt Table

Click to see full alt table

Status	Error	Program
	41.9b	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1/3) 3)
	25.3b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) 3)
	1.3b	(pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) 3)
	31.0b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))) 3)
	1.3b	(/.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))
	41.6b	(/.f64 (/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (+.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))) (-.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	41.6b	(/.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))))) (-.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
	24.9b	(/.f64 (/.f64 (sin.f64 b) (/.f64 1 r)) (cos.f64 b))
	23.9b	(/.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 1 (sin.f64 b)))
	14.8b	(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 1 (sin.f64 b)))
	23.8b	(/.f64 (.f64 (sin.f64 b) (/.f64 r (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))) 1)
	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))))
	21.8b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a)))
✓	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
✓	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
	23.8b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
	29.8b	(/.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))
	44.0b	(/.f64 (*.f64 r b) (cos.f64 b))
	34.1b	(/.f64 (*.f64 r b) (cos.f64 a))
	44.4b	(/.f64 (.f64 b r) (+.f64 1 (.f64 -1/2 (pow.f64 a 2))))
	34.1b	(/.f64 (*.f64 b r) (cos.f64 (+.f64 b a)))
	14.8b	(/.f64 (sin.f64 b) (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) -1))
	0.4b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) r))
	25.9b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) r))
	32.6b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) r))
	30.7b	(/.f64 (sin.f64 b) (/.f64 (fabs.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) 3)) r))
	33.8b	(/.f64 (sin.f64 b) (/.f64 (fabs.f64 (cos.f64 b)) r))
	37.8b	(/.f64 (sin.f64 b) (/.f64 (fabs.f64 (cos.f64 a)) r))
	24.9b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	30.6b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
	0.4b	(/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 b) (/.f64 r (cos.f64 a))) (/.f64 (sin.f64 b) (/.f64 r (sin.f64 a)))))
	0.4b	(/.f64 (sin.f64 b) (-.f64 (.f64 (/.f64 (cos.f64 b) r) (cos.f64 a)) (.f64 (/.f64 (sin.f64 b) r) (sin.f64 a))))
	0.4b	(/.f64 (sin.f64 b) (+.f64 (.f64 (/.f64 1 r) (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (/.f64 1 r) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	14.8b	(/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a))))
	27.5b	(/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
	41.2b	(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
	41.3b	(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))) (cos.f64 b))
	23.8b	(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
	14.8b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	24.8b	(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
	44.4b	(/.f64 b (/.f64 (fma.f64 -1/2 (*.f64 a a) 1) r))
	34.2b	(/.f64 b (/.f64 (cos.f64 a) r))
	24.8b	(/.f64 1 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))
	50.5b	(*.f64 (pow.f64 (pow.f64 (/.f64 b (cos.f64 a)) 3) 1/3) r)
	0.5b	(.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) 3)) r)) (+.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))))))
	24.8b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	24.8b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	34.1b	(*.f64 (/.f64 r (cos.f64 a)) b)
✓	34.1b	(*.f64 (/.f64 b (cos.f64 a)) r)
	34.7b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (+.f64 b (*.f64 (pow.f64 b 3) -1/6))))
	24.6b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (expm1.f64 (log1p.f64 (.f64 (sin.f64 b) r))))
✓	24.8b	(.f64 (/.f64 1 (cos.f64 b)) (.f64 (sin.f64 b) r))
	44.0b	(.f64 (/.f64 1 (cos.f64 b)) (.f64 r b))
	38.1b	(.f64 (/.f64 1 (cos.f64 b)) (fabs.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3)))
✓	37.9b	(.f64 (/.f64 1 (cos.f64 b)) (fabs.f64 (.f64 r (sin.f64 b))))
	30.6b	(.f64 (/.f64 1 (cos.f64 a)) (.f64 (sin.f64 b) r))
✓	46.9b	(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 b r))
	44.3b	(.f64 (+.f64 1 (.f64 1/2 (.f64 b b))) (.f64 (sin.f64 b) r))
	0.4b	(.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2)))) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
	56.7b	(.f64 (.f64 (.f64 b (.f64 r 1/2)) a) a)
	24.8b	(*.f64 (sin.f64 b) (/.f64 1 (/.f64 (cos.f64 b) r)))
	14.7b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
	40.9b	(*.f64 (sin.f64 b) r)
	43.5b	(.f64 (expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 b)))) (fabs.f64 (.f64 r (sin.f64 b))))
	50.2b	(*.f64 (exp.f64 (log.f64 (/.f64 b (cos.f64 a)))) r)
	15.0b	(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)))
	26.0b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 b) (/.f64 1 (fma.f64 -1/2 (.f64 a a) 1))) (*.f64 a (sin.f64 b)))))
	24.9b	(*.f64 r (/.f64 (sin.f64 b) (-.f64 (+.f64 (/.f64 (cos.f64 (+.f64 b a)) 2) (cos.f64 b)) (/.f64 (cos.f64 (-.f64 b a)) 2))))
	25.9b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
✓	26.0b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))))
✓	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)))))
✓	23.8b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))
	24.7b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (neg.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 b a) (+.f64 b a)) 2)) (sin.f64 (/.f64 (+.f64 b (+.f64 a (-.f64 b a))) 2)))))))
	29.8b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a)))))
	42.5b	(.f64 r (/.f64 (sin.f64 b) (+.f64 1 (.f64 (neg.f64 (sin.f64 a)) b))))
	14.8b	(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))
	30.5b	(*.f64 r (/.f64 (sin.f64 b) (fabs.f64 (cos.f64 (+.f64 a b)))))
	30.6b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
	44.5b	(.f64 r (+.f64 b (.f64 (pow.f64 b 3) 1/3)))
	23.8b	(.f64 r (.f64 (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)))
	24.8b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 b))))
	15.1b	(*.f64 r (log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	35.1b	(*.f64 r (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
	19.2b	(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	58.4b	(.f64 b (.f64 1/2 (.f64 a (.f64 r a))))
✓	44.0b	(*.f64 b r)
	58.0b	(.f64 1/2 (.f64 (.f64 r b) (.f64 a a)))
	38.4b	(fabs.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	45.4b	(fabs.f64 (*.f64 (sin.f64 b) r))
	38.6b	(expm1.f64 (log1p.f64 (*.f64 (/.f64 b (cos.f64 a)) r)))
	37.6b	(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
	41.7b	(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))

Compiler

Compiled 1486 to 1004 computations (32.4% saved)

regimes692.0ms (4.4%)

Counts

143 → 1

Calls

Call 1

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

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

Calls

5 calls:

192.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
146.0ms	r
138.0ms	b
118.0ms	a
60.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

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

Compiler

Compiled 1848 to 601 computations (67.5% saved)

regimes489.0ms (3.1%)

Counts

125 → 1

Calls

Call 1

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

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

Calls

5 calls:

120.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
116.0ms	a
62.0ms	b
59.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
57.0ms	r

Results

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

Compiler

Compiled 1378 to 472 computations (65.7% saved)

regimes358.0ms (2.3%)

Counts

123 → 1

Calls

Call 1

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

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

Calls

5 calls:

74.0ms	a
63.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
59.0ms	b
58.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
55.0ms	r

Results

Error	Segments	Branch
14.7b	1	`r`
14.7b	1	`a`
14.7b	1	`b`
14.7b	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
14.7b	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 1346 to 467 computations (65.3% saved)

regimes100.0ms (0.6%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	a
18.0ms	r
18.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
17.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
17.0ms	b

Results

Error	Segments	Branch
14.7b	1	`r`
14.7b	1	`a`
14.7b	1	`b`
14.7b	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
14.7b	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 333 to 144 computations (56.8% saved)

regimes142.0ms (0.9%)

Counts

33 → 3

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	r
47.0ms	b
41.0ms	a

Results

Error	Segments	Branch
23.5b	3	`r`
14.3b	3	`a`
14.9b	3	`b`

Compiler

Compiled 266 to 114 computations (57.1% saved)

bsearch81.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	3.95693986747058e-8	0.42693241508959284
42.0ms	-309227360178969.44	-288993902.22590697

Results

35.0ms	82×	body	1024	valid
25.0ms	154×	body	256	valid
15.0ms	50×	body	512	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 414 to 301 computations (27.3% saved)

regimes122.0ms (0.8%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	a
37.0ms	b
37.0ms	r

Results

Error	Segments	Branch
23.5b	3	`r`
14.3b	3	`a`
14.9b	3	`b`

Compiler

Compiled 250 to 109 computations (56.4% saved)

bsearch81.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	3.95693986747058e-8	0.42693241508959284
39.0ms	-309227360178969.44	-288993902.22590697

Results

31.0ms	71×	body	1024	valid
28.0ms	169×	body	256	valid
12.0ms	42×	body	512	valid
5.0ms	6×	body	2048	valid

Compiler

Compiled 414 to 301 computations (27.3% saved)

regimes217.0ms (1.4%)

Counts

29 → 3

Calls

Call 1

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

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

Calls

3 calls:

88.0ms	a
87.0ms	r
37.0ms	b

Results

Error	Segments	Branch
23.5b	3	`r`
14.3b	3	`a`
14.9b	3	`b`

Compiler

Compiled 236 to 106 computations (55.1% saved)

bsearch163.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
115.0ms	3.95693986747058e-8	0.42693241508959284
47.0ms	-309227360178969.44	-288993902.22590697

Results

83.0ms	91×	body	1024	valid
57.0ms	151×	body	256	valid
12.0ms	38×	body	512	valid
6.0ms	8×	body	2048	valid

Compiler

Compiled 414 to 301 computations (27.3% saved)

regimes151.0ms (1%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

3 calls:

69.0ms	b
40.0ms	r
36.0ms	a

Results

Error	Segments	Branch
23.5b	3	`r`
14.3b	3	`a`
14.9b	3	`b`

Compiler

Compiled 222 to 102 computations (54.1% saved)

bsearch122.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	3.95693986747058e-8	0.42693241508959284
80.0ms	-309227360178969.44	-288993902.22590697

Results

70.0ms	69×	body	1024	valid
30.0ms	164×	body	256	valid
14.0ms	50×	body	512	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 414 to 301 computations (27.3% saved)

regimes85.0ms (0.5%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	b
13.0ms	r
12.0ms	a

Results

Error	Segments	Branch
30.6b	1	`r`
30.6b	1	`a`
30.6b	1	`b`

Compiler

Compiled 215 to 100 computations (53.5% saved)

regimes166.0ms (1.1%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

3 calls:

73.0ms	a
51.0ms	r
37.0ms	b

Results

Error	Segments	Branch
34.1b	1	`r`
32.3b	3	`a`
30.8b	3	`b`

Compiler

Compiled 208 to 98 computations (52.9% saved)

bsearch96.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	76.30849371607327	193146.7426247162
59.0ms	-74009.0095321905	-1.972456414446405

Results

54.0ms	175×	body	256	valid
26.0ms	53×	body	1024	valid
7.0ms	8×	body	2048	valid
6.0ms	20×	body	512	valid

Compiler

Compiled 322 to 237 computations (26.4% saved)

regimes170.0ms (1.1%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

3 calls:

92.0ms	b
62.0ms	a
11.0ms	r

Results

Error	Segments	Branch
34.1b	1	`r`
32.3b	3	`a`
31.1b	3	`b`

Compiler

Compiled 203 to 97 computations (52.2% saved)

bsearch110.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	193146.7426247162	3.4386642586387215e+22
57.0ms	-1.972456414446405	-6.8864764229056844e-12

Results

37.0ms	76×	body	1024	valid
35.0ms	184×	body	256	valid
17.0ms	15×	body	2048	valid
16.0ms	45×	body	512	valid

Compiler

Compiled 418 to 293 computations (29.9% saved)

regimes100.0ms (0.6%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

59.0ms	b
28.0ms	a
8.0ms	r

Results

Error	Segments	Branch
34.1b	1	`r`
32.3b	3	`a`
31.1b	3	`b`

Compiler

Compiled 124 to 56 computations (54.8% saved)

bsearch111.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	76.30849371607327	193146.7426247162
49.0ms	-1.972456414446405	-6.8864764229056844e-12

Results

59.0ms	183×	body	256	valid
30.0ms	63×	body	1024	valid
9.0ms	31×	body	512	valid
8.0ms	11×	body	2048	valid
0.0ms	1×	body	1024	infinite

Compiler

Compiled 342 to 247 computations (27.8% saved)

regimes38.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	b
15.0ms	a
6.0ms	r

Results

Error	Segments	Branch
34.1b	1	`r`
32.3b	3	`a`
31.1b	3	`b`

Compiler

Compiled 72 to 40 computations (44.4% saved)

bsearch95.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	76.30849371607327	193146.7426247162
57.0ms	-1.972456414446405	-6.8864764229056844e-12

Results

40.0ms	74×	body	1024	valid
32.0ms	176×	body	256	valid
16.0ms	34×	body	512	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 342 to 247 computations (27.8% saved)

regimes22.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	b
7.0ms	r
5.0ms	a

Results

Error	Segments	Branch
40.9b	1	`r`
40.9b	1	`a`
40.9b	1	`b`

Compiler

Compiled 66 to 37 computations (43.9% saved)

regimes15.0ms (0.1%)

Accuracy

Total -14.8b remaining (-33.7%)

Threshold costs -14.8b (-33.7%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(*.f64 b r)

Calls

3 calls:

5.0ms	a
4.0ms	b
4.0ms	r

Results

Error	Segments	Branch
44.0b	1	`r`
44.0b	1	`a`
44.0b	1	`b`

Compiler

Compiled 56 to 33 computations (41.1% saved)

simplify36.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative`
14×	`+-commutative`
12×	`if-if-or-not`
6×	`sub-neg`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	713
1	130	713
2	144	713
3	150	713
4	153	713

Stop Event

1×	fuel
1×	saturated

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 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 a -290000000) (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) (if (<=.f64 a 3504881374004815/9223372036854775808) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(if (<=.f64 a -290000000) (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) (if (<=.f64 a 2582544170319337/36893488147419103232) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(if (<=.f64 a -290000000) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 6456360425798343/36893488147419103232) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(if (<=.f64 a -290000000) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 6198106008766409/147573952589676412928) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(if (<=.f64 b -11) (fabs.f64 (.f64 (sin.f64 b) r)) (if (<=.f64 b 230) (.f64 (/.f64 r (cos.f64 a)) b) (fabs.f64 (*.f64 (sin.f64 b) r))))
(if (<=.f64 b -8782019273372467/4503599627370496) (.f64 (sin.f64 b) r) (if (<=.f64 b 260000) (/.f64 (.f64 b r) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b -6980579422424269/4503599627370496) (.f64 (sin.f64 b) r) (if (<=.f64 b 580) (.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b -5944751508129055/4503599627370496) (.f64 (sin.f64 b) r) (if (<=.f64 b 580) (.f64 (/.f64 b (cos.f64 a)) r) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(*.f64 b r)

Outputs
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(if (<=.f64 a -290000000) (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) (if (<=.f64 a 3504881374004815/9223372036854775808) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(if (<=.f64 a -290000000) (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) (if (<=.f64 a 2582544170319337/36893488147419103232) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(if (<=.f64 a -290000000) (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) (if (<=.f64 a 2582544170319337/36893488147419103232) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(if (<=.f64 a -290000000) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 6456360425798343/36893488147419103232) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(if (or (<=.f64 a -290000000) (not (<=.f64 a 6456360425798343/36893488147419103232))) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(if (<=.f64 a -290000000) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a 6198106008766409/147573952589676412928) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(if (or (<=.f64 a -290000000) (not (<=.f64 a 6198106008766409/147573952589676412928))) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(if (<=.f64 b -11) (fabs.f64 (.f64 (sin.f64 b) r)) (if (<=.f64 b 230) (.f64 (/.f64 r (cos.f64 a)) b) (fabs.f64 (*.f64 (sin.f64 b) r))))
(if (or (<=.f64 b -11) (not (<=.f64 b 230))) (fabs.f64 (.f64 (sin.f64 b) r)) (.f64 b (/.f64 r (cos.f64 a))))
(if (<=.f64 b -8782019273372467/4503599627370496) (.f64 (sin.f64 b) r) (if (<=.f64 b 260000) (/.f64 (.f64 b r) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)))
(if (or (<=.f64 b -8782019273372467/4503599627370496) (not (<=.f64 b 260000))) (.f64 (sin.f64 b) r) (/.f64 (.f64 b r) (cos.f64 (+.f64 b a))))
(if (<=.f64 b -6980579422424269/4503599627370496) (.f64 (sin.f64 b) r) (if (<=.f64 b 580) (.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (sin.f64 b) r)))
(if (or (<=.f64 b -6980579422424269/4503599627370496) (not (<=.f64 b 580))) (.f64 (sin.f64 b) r) (.f64 b (/.f64 r (cos.f64 a))))
(if (<=.f64 b -5944751508129055/4503599627370496) (.f64 (sin.f64 b) r) (if (<=.f64 b 580) (.f64 (/.f64 b (cos.f64 a)) r) (*.f64 (sin.f64 b) r)))
(if (or (<=.f64 b -5944751508129055/4503599627370496) (not (<=.f64 b 580))) (.f64 (sin.f64 b) r) (.f64 r (/.f64 b (cos.f64 a))))
(*.f64 (sin.f64 b) r)
(*.f64 b r)

Compiler

Compiled 292 to 188 computations (35.6% saved)

soundness13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	15	27
2	18	27
3	22	27
4	23	27

Stop Event

1×

saturated

Compiler

Compiled 21 to 12 computations (42.9% saved)

end93.0ms (0.6%)

Compiler: Compiled 250 to 90 computations (64% saved)