Details

analyze430.0ms (2.5%)

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)

sample4.0s (23.4%)

Results

2.5s	3628×	body	1024	valid
835.0ms	2972×	body	256	valid
470.0ms	1440×	body	512	valid
182.0ms	216×	body	2048	valid

Bogosity

preprocess56.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1344×	`rational_best-simplify-51`
848×	`trig-simplify-11`
838×	`rational_best-simplify-52`
768×	`rational_best-simplify-1`
736×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	108
1	57	108
2	110	108
3	183	108
4	259	108
5	425	108
6	893	108
7	2243	108
8	4405	108
0	3	3

Stop Event

1×	saturated
1×	node limit

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1188×	`rational_best-simplify-1`
868×	`trig-simplify-11`
690×	`rational_best-simplify-51`
650×	`rational_best-simplify-52`
626×	`trig-simplify-9`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	25	27
2	35	27
3	58	27
4	84	27
5	114	27
6	186	27
7	382	27
8	974	27
9	2529	27
10	5225	27

Stop Event

1×	node limit

Counts

1 → 2

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))))

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

15.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.8b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
✓	0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
✓	2.5b	(cos.f64 (+.f64 b a))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series13.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`rational_best-5`
932×	`rational_best-4`
932×	`rational_best-2`
932×	`rational_best-3`
932×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	104	59
2	427	59
3	1868	59

Stop Event

1×	node limit

Counts

3 → 56

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

Outputs

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

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

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

simplify275.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1196×	`rational_best-simplify-80`
1112×	`rational_best-simplify-78`
1058×	`rational_best-simplify-94`
934×	`rational_best-simplify-2`
848×	`rational_best-simplify-135`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	282	4822
1	598	4592
2	1433	4592
3	4427	4590
4	7914	4590

Stop Event

1×	node limit

Counts

140 → 140

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)) 0)
(+.f64 0 (cos.f64 (+.f64 b a)))
(+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (cos.f64 (+.f64 b a)) 0)
(-.f64 0 (neg.f64 (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) (.f64 (cos.f64 a) 2)) (+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (cos.f64 (+.f64 b a)) 1)
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 0))
(.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 0) (cos.f64 0)))
(.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 0) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(*.f64 1 (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))
(.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 0) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (cos.f64 0) (cos.f64 (+.f64 b a)))
(.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(.f64 (/.f64 (cos.f64 0) (cos.f64 (+.f64 b a))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (+.f64 b a)) 1)
(/.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) 2)
(/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) 2) -2)
(pow.f64 (cos.f64 (+.f64 b a)) 1)
(neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(+.f64 0 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(*.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 0)
(+.f64 0 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(-.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 0)
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 1)
(/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (+.f64 r r)) 2)
(pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 1)

Outputs
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 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 (.f64 (sin.f64 a) (neg.f64 b)) (+.f64 (.f64 (pow.f64 b 2) (*.f64 -1/2 (cos.f64 a))) (cos.f64 a)))
(+.f64 (cos.f64 a) (+.f64 (.f64 (sin.f64 a) (neg.f64 b)) (.f64 (pow.f64 b 2) (*.f64 (cos.f64 a) -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) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))) (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))))))
(+.f64 (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3)))) (+.f64 (.f64 (pow.f64 b 2) (.f64 -1/2 (cos.f64 a))) (cos.f64 a)))
(+.f64 (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3)))) (+.f64 (cos.f64 a) (.f64 (pow.f64 b 2) (.f64 (cos.f64 a) -1/2))))
(+.f64 (.f64 (pow.f64 b 2) (.f64 (cos.f64 a) -1/2)) (+.f64 (cos.f64 a) (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3))))))
(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))
(+.f64 (cos.f64 b) (.f64 -1 (.f64 a (sin.f64 b))))
(+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))
(+.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 a (sin.f64 b))) (+.f64 (cos.f64 b) (.f64 -1/2 (.f64 (cos.f64 b) (pow.f64 a 2)))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 -1/2 (cos.f64 b))) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))))
(+.f64 (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 a))) (.f64 (pow.f64 a 2) (*.f64 -1/2 (cos.f64 b))))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(+.f64 (.f64 -1 (.f64 a (sin.f64 b))) (+.f64 (cos.f64 b) (+.f64 (.f64 -1/2 (.f64 (cos.f64 b) (pow.f64 a 2))) (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))))))
(+.f64 (+.f64 (cos.f64 b) (.f64 (pow.f64 a 2) (.f64 -1/2 (cos.f64 b)))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (.f64 1/6 (pow.f64 a 3)))))
(+.f64 (cos.f64 b) (+.f64 (.f64 (pow.f64 a 2) (.f64 -1/2 (cos.f64 b))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (.f64 1/6 (pow.f64 a 3))))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 a b))
(/.f64 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 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 b 3) (-.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))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 b (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))
(+.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)) (+.f64 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (+.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 (pow.f64 b 3) (-.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)))))))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (neg.f64 (.f64 (pow.f64 b 4) (+.f64 (neg.f64 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -1/3)))) (+.f64 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (+.f64 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -1/3)) (neg.f64 (pow.f64 b 4)))))
(/.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)))
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(+.f64 (.f64 -1 (+.f64 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (neg.f64 (/.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 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2)) -1/3))) (.f64 (pow.f64 a 2) (+.f64 (neg.f64 (/.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 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))))
(+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (.f64 -1 (+.f64 (.f64 (pow.f64 a 2) (+.f64 (neg.f64 (/.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 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (neg.f64 (/.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 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2)) -1/3))))) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2))))
(+.f64 (+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2))) (neg.f64 (+.f64 (.f64 (pow.f64 a 2) (+.f64 (neg.f64 (/.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 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (neg.f64 (/.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 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2)) -1/3))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.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 a b)))
(/.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 b (.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(+.f64 (cos.f64 (+.f64 b a)) 0)
(cos.f64 (+.f64 a b))
(+.f64 0 (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 a b))
(+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))
(cos.f64 (+.f64 a b))
(-.f64 (cos.f64 (+.f64 b a)) 0)
(cos.f64 (+.f64 a b))
(-.f64 0 (neg.f64 (cos.f64 (+.f64 b a))))
(cos.f64 (+.f64 a b))
(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
(cos.f64 (+.f64 a b))
(-.f64 (.f64 (cos.f64 b) (.f64 (cos.f64 a) 2)) (+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
(-.f64 (.f64 (cos.f64 a) (.f64 (cos.f64 b) 2)) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (.f64 (cos.f64 a) (.f64 2 (cos.f64 b))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (cos.f64 (+.f64 b a)) 1)
(cos.f64 (+.f64 a b))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(cos.f64 (+.f64 a b))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 0))
(cos.f64 (+.f64 a b))
(.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))))
(cos.f64 (+.f64 a b))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(cos.f64 (+.f64 a b))
(.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 0) (cos.f64 0)))
(cos.f64 (+.f64 a b))
(.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 0) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(cos.f64 (+.f64 a b))
(*.f64 1 (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 a b))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 a b))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(cos.f64 (+.f64 a b))
(.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a))))
(cos.f64 (+.f64 a b))
(.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 0) (/.f64 1 (cos.f64 (+.f64 b a)))))
(cos.f64 (+.f64 a b))
(*.f64 (cos.f64 0) (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 a b))
(.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 a b))
(.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(cos.f64 (+.f64 a b))
(.f64 (/.f64 (cos.f64 0) (cos.f64 (+.f64 b a))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(cos.f64 (+.f64 a b))
(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(cos.f64 (+.f64 a b))
(.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(cos.f64 (+.f64 a b))
(.f64 (/.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(cos.f64 (+.f64 a b))
(/.f64 (cos.f64 (+.f64 b a)) 1)
(cos.f64 (+.f64 a b))
(/.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(cos.f64 (+.f64 a b))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) 2)
(cos.f64 (+.f64 a b))
(/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) 2) -2)
(cos.f64 (+.f64 a b))
(pow.f64 (cos.f64 (+.f64 b a)) 1)
(cos.f64 (+.f64 a b))
(neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))
(cos.f64 (+.f64 a b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(+.f64 0 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(-.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 0)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(+.f64 0 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(-.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 0)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (+.f64 r r)) 2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

eval131.0ms (0.8%)

Compiler: Compiled 4776 to 2120 computations (55.6% saved)

prune33.0ms (0.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	125	15	140
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	15	141

Error

0.2b

Counts

141 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	15.7b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	27.2b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	29.6b	(/.f64 (*.f64 b r) (cos.f64 a))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (.f64 (cos.f64 a) 2)) (+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))
▶	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	28.6b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 a) (neg.f64 b)) (+.f64 (.f64 (pow.f64 b 2) (.f64 -1/2 (cos.f64 a))) (cos.f64 a)))))
	28.7b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 a)))))
▶	28.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b)))))
	15.8b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))
▶	15.8b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
	15.8b	(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a)))))
▶	27.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
	27.1b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
▶	29.6b	(*.f64 r (/.f64 b (cos.f64 a)))
	29.6b	(.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))

Compiler

Compiled 552 to 320 computations (42% saved)

localize20.0ms (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) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
✓	0.2b	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 65 to 12 computations (81.5% saved)

series16.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

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

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`rational_best-5`
1234×	`rational_best-4`
1234×	`rational_best-2`
1234×	`rational_best-3`
1234×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	78
1	143	78
2	569	78
3	2542	78

Stop Event

1×	node limit

Counts

4 → 43

Calls

Call 1

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

simplify154.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1226×	`rational_best-simplify-2`
766×	`rational_best-simplify-49`
746×	`rational_best-simplify-132`
744×	`rational_best-simplify-50`
644×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	297	5463
1	587	5175
2	1057	5105
3	2362	5103
4	4502	5103

Stop Event

1×	node limit

Counts

151 → 164

Calls

Call 1

Inputs
(*.f64 (sin.f64 a) b)
(+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 (sin.f64 a) b))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(+.f64 (.f64 -1/5040 (.f64 (sin.f64 a) (pow.f64 b 7))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) a)
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 (sin.f64 b) a))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 b) (pow.f64 a 7))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 b 4) (+.f64 (.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))))))) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (.f64 -1/720 (.f64 (cos.f64 a) (pow.f64 b 6))) (+.f64 (.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 a 6) (cos.f64 b))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 0)
(+.f64 0 (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 0)
(/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1)
(/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) 2)
(/.f64 (.f64 (sin.f64 b) (.f64 (sin.f64 a) 2)) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) b) (-.f64 (/.f64 (PI.f64) 2) a))) (cos.f64 (-.f64 a (-.f64 0 (neg.f64 b))))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) b) (-.f64 (/.f64 (PI.f64) 2) a))) (cos.f64 (-.f64 b (-.f64 0 (neg.f64 a))))) 2)
(pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1)
(+.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(+.f64 0 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(*.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 0)
(+.f64 0 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(-.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 0)
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 1)
(/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (+.f64 r r)) 2)
(pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 1)
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 0)
(+.f64 0 (*.f64 (cos.f64 b) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 0)
(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 1)
(/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) 2)
(/.f64 (.f64 (cos.f64 b) (.f64 (cos.f64 a) 2)) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) 2)
(pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 1)

Outputs
(*.f64 (sin.f64 a) b)
(+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 (sin.f64 a) b))
(+.f64 (.f64 (sin.f64 a) b) (.f64 (sin.f64 a) (*.f64 -1/6 (pow.f64 b 3))))
(.f64 (sin.f64 a) (+.f64 b (.f64 -1/6 (pow.f64 b 3))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(+.f64 (.f64 (sin.f64 a) (.f64 -1/6 (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(+.f64 (.f64 (sin.f64 a) (+.f64 b (.f64 -1/6 (pow.f64 b 3)))) (.f64 (sin.f64 a) (.f64 1/120 (pow.f64 b 5))))
(.f64 (sin.f64 a) (+.f64 (+.f64 b (.f64 1/120 (pow.f64 b 5))) (*.f64 -1/6 (pow.f64 b 3))))
(.f64 (sin.f64 a) (+.f64 b (+.f64 (.f64 -1/6 (pow.f64 b 3)) (*.f64 1/120 (pow.f64 b 5)))))
(+.f64 (.f64 -1/5040 (.f64 (sin.f64 a) (pow.f64 b 7))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(+.f64 (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (.f64 (sin.f64 a) (pow.f64 b 5)))) (+.f64 (.f64 (sin.f64 a) (.f64 -1/6 (pow.f64 b 3))) (.f64 (sin.f64 a) (*.f64 -1/5040 (pow.f64 b 7)))))
(+.f64 (.f64 (sin.f64 a) (+.f64 (.f64 1/120 (pow.f64 b 5)) b)) (.f64 (sin.f64 a) (+.f64 (.f64 -1/5040 (pow.f64 b 7)) (*.f64 -1/6 (pow.f64 b 3)))))
(.f64 (sin.f64 a) (+.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) (.f64 -1/5040 (pow.f64 b 7))) (+.f64 b (.f64 1/120 (pow.f64 b 5)))))
(.f64 (sin.f64 a) (+.f64 b (+.f64 (.f64 1/120 (pow.f64 b 5)) (+.f64 (.f64 -1/6 (pow.f64 b 3)) (.f64 -1/5040 (pow.f64 b 7))))))
(.f64 (sin.f64 a) (+.f64 (.f64 -1/5040 (pow.f64 b 7)) (+.f64 b (+.f64 (.f64 -1/6 (pow.f64 b 3)) (.f64 1/120 (pow.f64 b 5))))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) a)
(*.f64 a (sin.f64 b))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 (sin.f64 b) a))
(+.f64 (.f64 a (sin.f64 b)) (.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))))
(.f64 (sin.f64 b) (+.f64 (.f64 -1/6 (pow.f64 a 3)) a))
(.f64 (sin.f64 b) (+.f64 a (.f64 -1/6 (pow.f64 a 3))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a)))
(+.f64 (.f64 a (sin.f64 b)) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)))))
(+.f64 (.f64 (pow.f64 a 5) (.f64 1/120 (sin.f64 b))) (.f64 (sin.f64 b) (+.f64 (.f64 -1/6 (pow.f64 a 3)) a)))
(.f64 (sin.f64 b) (+.f64 (+.f64 (.f64 -1/6 (pow.f64 a 3)) (*.f64 1/120 (pow.f64 a 5))) a))
(.f64 (sin.f64 b) (+.f64 a (+.f64 (.f64 -1/6 (pow.f64 a 3)) (*.f64 1/120 (pow.f64 a 5)))))
(.f64 (sin.f64 b) (+.f64 (.f64 -1/6 (pow.f64 a 3)) (+.f64 a (*.f64 1/120 (pow.f64 a 5)))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 b) (pow.f64 a 7))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 a (sin.f64 b)) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (.f64 (sin.f64 b) (*.f64 -1/5040 (pow.f64 a 7))))))
(+.f64 (.f64 (sin.f64 b) (+.f64 (.f64 1/120 (pow.f64 a 5)) a)) (.f64 (sin.f64 b) (+.f64 (.f64 -1/6 (pow.f64 a 3)) (*.f64 -1/5040 (pow.f64 a 7)))))
(.f64 (sin.f64 b) (+.f64 (+.f64 (.f64 -1/6 (pow.f64 a 3)) (.f64 -1/5040 (pow.f64 a 7))) (+.f64 a (.f64 1/120 (pow.f64 a 5)))))
(.f64 (sin.f64 b) (+.f64 a (+.f64 (.f64 1/120 (pow.f64 a 5)) (+.f64 (.f64 -1/6 (pow.f64 a 3)) (.f64 -1/5040 (pow.f64 a 7))))))
(.f64 (sin.f64 b) (+.f64 (.f64 -1/6 (pow.f64 a 3)) (+.f64 a (+.f64 (.f64 -1/5040 (pow.f64 a 7)) (.f64 1/120 (pow.f64 a 5))))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 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 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/6) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 b (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/6) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/6) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/6) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))
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(+.f64 (cos.f64 b) (+.f64 (.f64 (pow.f64 a 6) (.f64 (cos.f64 b) -1/720)) (.f64 (cos.f64 b) (+.f64 (.f64 -1/2 (pow.f64 a 2)) (*.f64 1/24 (pow.f64 a 4))))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(+.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 0)
(*.f64 (sin.f64 a) (sin.f64 b))
(+.f64 0 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (sin.f64 b))
(-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 0)
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1)
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) 2)
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) (.f64 (sin.f64 a) 2)) 2)
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) 2)
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) b) (-.f64 (/.f64 (PI.f64) 2) a))) (cos.f64 (-.f64 a (-.f64 0 (neg.f64 b))))) 2)
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) b) (-.f64 (/.f64 (PI.f64) 2) a))) (cos.f64 (-.f64 b (-.f64 0 (neg.f64 a))))) 2)
(*.f64 (sin.f64 a) (sin.f64 b))
(pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1)
(*.f64 (sin.f64 a) (sin.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(+.f64 0 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(-.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 0)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(+.f64 0 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(-.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 0)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (+.f64 r r)) 2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 0)
(*.f64 (cos.f64 a) (cos.f64 b))
(+.f64 0 (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 (cos.f64 a) (cos.f64 b))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 0)
(*.f64 (cos.f64 a) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 1)
(*.f64 (cos.f64 a) (cos.f64 b))
(/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (cos.f64 a) (cos.f64 b))
(/.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) 2)
(*.f64 (cos.f64 a) (cos.f64 b))
(/.f64 (.f64 (cos.f64 b) (.f64 (cos.f64 a) 2)) 2)
(*.f64 (cos.f64 a) (cos.f64 b))
(/.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) 2)
(*.f64 (cos.f64 a) (cos.f64 b))
(pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 1)
(*.f64 (cos.f64 a) (cos.f64 b))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series7.0ms (0%)

Counts

2 → 40

Calls

15 calls:

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

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`rational_best-simplify-57`
614×	`rational_best-simplify-43`
548×	`rational_best-5`
548×	`rational_best-2`
548×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	75	28
2	264	28
3	1151	28
4	5124	28

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b (cos.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 b (cos.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 b (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 (/.f64 b (cos.f64 a)) (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 1 (/.f64 b (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (cos.f64 a)) (/.f64 1 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (/.f64 b (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 b (cos.f64 a))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (/.f64 1 (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b (cos.f64 a)) (/.f64 1 (/.f64 b (cos.f64 a)))) (/.f64 b (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (/.f64 b (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (*.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 b (cos.f64 a))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (*.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (/.f64 b (cos.f64 a))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 b (cos.f64 a)) (/.f64 1 (/.f64 b (cos.f64 a)))) (/.f64 b (cos.f64 a))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 (/.f64 b (cos.f64 a))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (*.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))))) (*.f64 (*.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))) (*.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (/.f64 b (cos.f64 a))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (*.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (/.f64 b (cos.f64 a)) (/.f64 1 (/.f64 b (cos.f64 a)))) (/.f64 b (cos.f64 a))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (*.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (/.f64 b (cos.f64 a))) (*.f64 (/.f64 b (cos.f64 a)) (/.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 neg.f64 (neg.f64 (/.f64 b (cos.f64 a))))))))

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

simplify197.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1542×	`rational_best-simplify-132`
906×	`rational_best-simplify-2`
540×	`rational_best-simplify-43`
504×	`rational_best-simplify-49`
468×	`rational_best-simplify-80`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1526
1	272	1408
2	555	1376
3	1315	1374
4	2506	1374
5	6249	1374

Stop Event

1×	node limit

Counts

74 → 76

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 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 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 r b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (.f64 r b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 r b) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (.f64 r b)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 r b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (.f64 r b)))) (+.f64 (.f64 -1/720 (.f64 r b)) (.f64 1/48 (.f64 b r)))))) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (*.f64 r b))))))))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) 0)
(+.f64 0 (/.f64 b (cos.f64 a)))
(-.f64 (/.f64 b (cos.f64 a)) 0)
(-.f64 0 (neg.f64 (/.f64 b (cos.f64 a))))
(*.f64 (/.f64 b (cos.f64 a)) 1)
(*.f64 (/.f64 b (cos.f64 a)) (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))
(.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (/.f64 1 (/.f64 b (cos.f64 a)))))
(*.f64 (/.f64 b (cos.f64 a)) (/.f64 1 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))))
(*.f64 1 (/.f64 b (cos.f64 a)))
(*.f64 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (/.f64 b (cos.f64 a)))
(.f64 (/.f64 1 (/.f64 b (cos.f64 a))) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))
(.f64 (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (/.f64 1 (/.f64 b (cos.f64 a))))
(.f64 (.f64 (/.f64 b (cos.f64 a)) (/.f64 1 (/.f64 b (cos.f64 a)))) (/.f64 b (cos.f64 a)))
(*.f64 (/.f64 1 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (/.f64 b (cos.f64 a)))
(.f64 (/.f64 1 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))))
(.f64 (/.f64 (/.f64 1 (/.f64 b (cos.f64 a))) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))))
(.f64 (/.f64 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (/.f64 b (cos.f64 a))) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))
(.f64 (/.f64 (.f64 (/.f64 b (cos.f64 a)) (/.f64 1 (/.f64 b (cos.f64 a)))) (/.f64 b (cos.f64 a))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))
(.f64 (/.f64 (/.f64 (/.f64 1 (/.f64 b (cos.f64 a))) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))))) (.f64 (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))))))
(.f64 (/.f64 (/.f64 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (/.f64 b (cos.f64 a))) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))))
(.f64 (/.f64 (/.f64 (.f64 (/.f64 b (cos.f64 a)) (/.f64 1 (/.f64 b (cos.f64 a)))) (/.f64 b (cos.f64 a))) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (/.f64 b (cos.f64 a))) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))
(pow.f64 (/.f64 b (cos.f64 a)) 1)
(neg.f64 (neg.f64 (/.f64 b (cos.f64 a))))
(+.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 0)
(+.f64 0 (*.f64 (/.f64 b (cos.f64 a)) r))
(-.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 0)
(-.f64 0 (neg.f64 (*.f64 (/.f64 b (cos.f64 a)) r)))
(/.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 1)
(/.f64 (.f64 (/.f64 b (cos.f64 a)) r) (/.f64 (.f64 (/.f64 b (cos.f64 a)) r) (*.f64 (/.f64 b (cos.f64 a)) r)))
(/.f64 (*.f64 (/.f64 b (cos.f64 a)) (+.f64 r r)) 2)
(/.f64 (.f64 (neg.f64 (.f64 (/.f64 b (cos.f64 a)) r)) 2) -2)
(pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 1)
(neg.f64 (neg.f64 (*.f64 (/.f64 b (cos.f64 a)) r)))

Outputs
b
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) b)
(+.f64 b (.f64 (pow.f64 a 2) (.f64 1/2 b)))
(+.f64 b (.f64 (pow.f64 a 2) (.f64 b 1/2)))
(+.f64 b (.f64 1/2 (.f64 b (pow.f64 a 2))))
(+.f64 b (.f64 b (.f64 1/2 (pow.f64 a 2))))
(+.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 b (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 b 1/24) (.f64 b -1/4)))) (.f64 (pow.f64 a 2) (.f64 1/2 b))))
(+.f64 (neg.f64 (.f64 (pow.f64 a 4) (.f64 b -5/24))) (+.f64 b (.f64 (pow.f64 a 2) (.f64 b 1/2))))
(+.f64 b (+.f64 (.f64 1/2 (.f64 b (pow.f64 a 2))) (.f64 (pow.f64 a 4) (neg.f64 (.f64 b -5/24)))))
(+.f64 b (+.f64 (.f64 (pow.f64 a 2) (.f64 b 1/2)) (.f64 (.f64 b -5/24) (neg.f64 (pow.f64 a 4)))))
(+.f64 b (+.f64 (.f64 b (.f64 1/2 (pow.f64 a 2))) (.f64 (.f64 b -5/24) (neg.f64 (pow.f64 a 4)))))
(+.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 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 b -1/720) (+.f64 (.f64 1/2 (+.f64 (.f64 b 1/24) (.f64 b -1/4))) (.f64 b 1/48)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 b 1/24) (.f64 b -1/4)))) (.f64 (pow.f64 a 2) (*.f64 1/2 b))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b 1/2)) (+.f64 b (.f64 -1 (+.f64 (.f64 (pow.f64 a 4) (.f64 b -5/24)) (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (.f64 b -5/24)) (+.f64 (.f64 b -1/720) (.f64 b 1/48))))))))
(+.f64 b (+.f64 (.f64 -1 (+.f64 (.f64 (pow.f64 a 4) (.f64 b -5/24)) (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (.f64 b -5/24)) (.f64 b 7/360))))) (.f64 1/2 (*.f64 b (pow.f64 a 2)))))
(+.f64 b (+.f64 (.f64 (pow.f64 a 2) (.f64 b 1/2)) (neg.f64 (+.f64 (.f64 (pow.f64 a 4) (.f64 b -5/24)) (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (.f64 b -5/24)) (.f64 b 7/360)))))))
(+.f64 (+.f64 b (.f64 b (.f64 1/2 (pow.f64 a 2)))) (neg.f64 (+.f64 (.f64 (pow.f64 a 4) (.f64 b -5/24)) (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (.f64 b -5/24)) (.f64 b 7/360))))))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 r b)
(*.f64 b r)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (.f64 r b))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(+.f64 (.f64 b r) (.f64 1/2 (.f64 b (.f64 (pow.f64 a 2) r))))
(.f64 r (+.f64 b (.f64 1/2 (*.f64 b (pow.f64 a 2)))))
(.f64 (+.f64 b (.f64 (pow.f64 a 2) (*.f64 b 1/2))) r)
(.f64 (+.f64 b (.f64 b (*.f64 1/2 (pow.f64 a 2)))) r)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 r b) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (.f64 r b)))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 b (.f64 -1/4 r)) (.f64 1/24 (.f64 b r))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r)))))
(+.f64 (+.f64 (.f64 b r) (.f64 1/2 (.f64 b (.f64 (pow.f64 a 2) r)))) (neg.f64 (.f64 (pow.f64 a 4) (.f64 (*.f64 b r) -5/24))))
(+.f64 (.f64 r (+.f64 b (.f64 1/2 (.f64 b (pow.f64 a 2))))) (.f64 (pow.f64 a 4) (neg.f64 (.f64 r (.f64 b -5/24)))))
(+.f64 (.f64 (+.f64 b (.f64 (pow.f64 a 2) (.f64 b 1/2))) r) (.f64 (.f64 (.f64 b -5/24) r) (neg.f64 (pow.f64 a 4))))
(+.f64 (.f64 (+.f64 b (.f64 b (.f64 1/2 (pow.f64 a 2)))) r) (.f64 (pow.f64 a 4) (neg.f64 (.f64 (.f64 b r) -5/24))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 r b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (.f64 r b)))) (+.f64 (.f64 -1/720 (.f64 r b)) (.f64 1/48 (.f64 b r)))))) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (*.f64 r b))))))))
(+.f64 (.f64 -1 (+.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 b (.f64 -1/4 r)) (.f64 1/24 (.f64 b r)))) (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 -1/4 r)) (.f64 1/24 (.f64 b r)))) (+.f64 (.f64 r (.f64 b -1/720)) (.f64 b (.f64 1/48 r))))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r)))))
(+.f64 (+.f64 (.f64 b r) (.f64 1/2 (.f64 b (.f64 (pow.f64 a 2) r)))) (.f64 -1 (+.f64 (.f64 (pow.f64 a 4) (.f64 (.f64 b r) -5/24)) (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (.f64 (.f64 b r) -5/24)) (.f64 (.f64 b r) 7/360))))))
(+.f64 (.f64 r (+.f64 b (.f64 1/2 (.f64 b (pow.f64 a 2))))) (neg.f64 (+.f64 (.f64 (pow.f64 a 4) (.f64 r (.f64 b -5/24))) (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (.f64 r (.f64 b -5/24))) (.f64 r (.f64 b 7/360)))))))
(+.f64 (.f64 (+.f64 b (.f64 (pow.f64 a 2) (.f64 b 1/2))) r) (neg.f64 (+.f64 (.f64 (pow.f64 a 4) (.f64 (.f64 b -5/24) r)) (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (.f64 (.f64 b -5/24) r)) (.f64 r (.f64 b 7/360)))))))
(+.f64 (.f64 (+.f64 b (.f64 b (.f64 1/2 (pow.f64 a 2)))) r) (neg.f64 (+.f64 (.f64 (pow.f64 a 4) (.f64 (.f64 b r) -5/24)) (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (.f64 (.f64 b r) -5/24)) (.f64 r (.f64 b 7/360)))))))
(/.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 (cos.f64 a)) 0)
(/.f64 b (cos.f64 a))
(+.f64 0 (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
(-.f64 (/.f64 b (cos.f64 a)) 0)
(/.f64 b (cos.f64 a))
(-.f64 0 (neg.f64 (/.f64 b (cos.f64 a))))
(/.f64 b (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) 1)
(/.f64 b (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))
(/.f64 b (cos.f64 a))
(.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (/.f64 1 (/.f64 b (cos.f64 a)))))
(/.f64 b (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) (/.f64 1 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))))
(/.f64 b (cos.f64 a))
(*.f64 1 (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
(*.f64 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
(.f64 (/.f64 1 (/.f64 b (cos.f64 a))) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))
(/.f64 b (cos.f64 a))
(.f64 (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (/.f64 1 (/.f64 b (cos.f64 a))))
(/.f64 b (cos.f64 a))
(.f64 (.f64 (/.f64 b (cos.f64 a)) (/.f64 1 (/.f64 b (cos.f64 a)))) (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
(*.f64 (/.f64 1 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
(.f64 (/.f64 1 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))))
(/.f64 b (cos.f64 a))
(.f64 (/.f64 (/.f64 1 (/.f64 b (cos.f64 a))) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))))
(/.f64 b (cos.f64 a))
(.f64 (/.f64 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (/.f64 b (cos.f64 a))) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))
(/.f64 b (cos.f64 a))
(.f64 (/.f64 (.f64 (/.f64 b (cos.f64 a)) (/.f64 1 (/.f64 b (cos.f64 a)))) (/.f64 b (cos.f64 a))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))
(/.f64 b (cos.f64 a))
(.f64 (/.f64 (/.f64 (/.f64 1 (/.f64 b (cos.f64 a))) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))))) (.f64 (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))))))
(/.f64 b (cos.f64 a))
(.f64 (/.f64 (/.f64 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))) (/.f64 b (cos.f64 a))) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))))
(/.f64 b (cos.f64 a))
(.f64 (/.f64 (/.f64 (.f64 (/.f64 b (cos.f64 a)) (/.f64 1 (/.f64 b (cos.f64 a)))) (/.f64 b (cos.f64 a))) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))))
(/.f64 b (cos.f64 a))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (/.f64 b (cos.f64 a))) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a))))
(/.f64 b (cos.f64 a))
(pow.f64 (/.f64 b (cos.f64 a)) 1)
(/.f64 b (cos.f64 a))
(neg.f64 (neg.f64 (/.f64 b (cos.f64 a))))
(/.f64 b (cos.f64 a))
(+.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 0)
(*.f64 r (/.f64 b (cos.f64 a)))
(+.f64 0 (*.f64 (/.f64 b (cos.f64 a)) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(-.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 0)
(*.f64 r (/.f64 b (cos.f64 a)))
(-.f64 0 (neg.f64 (*.f64 (/.f64 b (cos.f64 a)) r)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 1)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (.f64 (/.f64 b (cos.f64 a)) r) (/.f64 (.f64 (/.f64 b (cos.f64 a)) r) (*.f64 (/.f64 b (cos.f64 a)) r)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 (/.f64 b (cos.f64 a)) (+.f64 r r)) 2)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (.f64 (neg.f64 (.f64 (/.f64 b (cos.f64 a)) r)) 2) -2)
(*.f64 r (/.f64 b (cos.f64 a)))
(pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 1)
(*.f64 r (/.f64 b (cos.f64 a)))
(neg.f64 (neg.f64 (*.f64 (/.f64 b (cos.f64 a)) r)))
(*.f64 r (/.f64 b (cos.f64 a)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 7 computations (66.7% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite102.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1158×	`rational_best-simplify-57`
706×	`rational_best-simplify-43`
628×	`rational_best-5`
626×	`rational_best-4`
626×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	81	36
2	309	36
3	1309	36
4	5773	36

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))))) (#(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 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 r r)) 2)))) (#(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 neg.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))))))

simplify167.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1130×	`rational_best-simplify-2`
1098×	`rational_best-simplify-80`
924×	`rational_best-simplify-78`
782×	`rational_best-simplify-44`
768×	`rational_best-simplify-132`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	1415
1	208	1331
2	389	1307
3	1472	1307
4	2980	1307
5	5195	1307

Stop Event

1×	node limit

Counts

57 → 59

Calls

Call 1

Inputs
b
(+.f64 (*.f64 1/3 (pow.f64 b 3)) b)
(+.f64 (.f64 2/15 (pow.f64 b 5)) (+.f64 (.f64 1/3 (pow.f64 b 3)) b))
(+.f64 (.f64 2/15 (pow.f64 b 5)) (+.f64 (.f64 1/3 (pow.f64 b 3)) (+.f64 b (*.f64 17/315 (pow.f64 b 7)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r b)
(+.f64 (.f64 (-.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) (cos.f64 b)) 0)
(+.f64 0 (/.f64 (sin.f64 b) (cos.f64 b)))
(-.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 0)
(-.f64 0 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 1)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b)))))
(*.f64 1 (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 b))))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b)))
(.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))))))
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 1)
(neg.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b))))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 0)
(+.f64 0 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(-.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 0)
(-.f64 0 (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 1)
(/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 r r)) 2)
(pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 1)
(neg.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))

Outputs
b
(+.f64 (*.f64 1/3 (pow.f64 b 3)) b)
(+.f64 b (*.f64 1/3 (pow.f64 b 3)))
(+.f64 (.f64 2/15 (pow.f64 b 5)) (+.f64 (.f64 1/3 (pow.f64 b 3)) b))
(+.f64 b (+.f64 (.f64 1/3 (pow.f64 b 3)) (.f64 2/15 (pow.f64 b 5))))
(+.f64 (.f64 2/15 (pow.f64 b 5)) (+.f64 (.f64 1/3 (pow.f64 b 3)) (+.f64 b (*.f64 17/315 (pow.f64 b 7)))))
(+.f64 (+.f64 b (.f64 17/315 (pow.f64 b 7))) (+.f64 (.f64 1/3 (pow.f64 b 3)) (*.f64 2/15 (pow.f64 b 5))))
(+.f64 (.f64 1/3 (pow.f64 b 3)) (+.f64 (.f64 2/15 (pow.f64 b 5)) (+.f64 b (*.f64 17/315 (pow.f64 b 7)))))
(+.f64 (.f64 1/3 (pow.f64 b 3)) (+.f64 (.f64 17/315 (pow.f64 b 7)) (+.f64 b (*.f64 2/15 (pow.f64 b 5)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r b)
(*.f64 b r)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(+.f64 (.f64 b r) (.f64 (pow.f64 b 3) (-.f64 (.f64 r -1/6) (.f64 r -1/2))))
(+.f64 (.f64 b r) (.f64 (pow.f64 b 3) (*.f64 r 1/3)))
(+.f64 (.f64 b r) (.f64 (pow.f64 b 3) (*.f64 1/3 r)))
(+.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 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 -1/2 (-.f64 (.f64 r -1/6) (.f64 r -1/2)))))) (+.f64 (.f64 b r) (.f64 (pow.f64 b 3) (-.f64 (.f64 r -1/6) (.f64 r -1/2)))))
(+.f64 (+.f64 (.f64 b r) (.f64 (pow.f64 b 3) (.f64 r 1/3))) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 -1/2 (.f64 r 1/3))))))
(+.f64 (+.f64 (.f64 b r) (.f64 (pow.f64 b 3) (.f64 1/3 r))) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (*.f64 r -1/6)))))
(+.f64 (.f64 (pow.f64 b 3) (.f64 1/3 r)) (+.f64 (.f64 b r) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (*.f64 r -1/6))))))
(+.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 (.f64 b r) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 -1/2 (-.f64 (.f64 r -1/6) (.f64 r -1/2))))))) (+.f64 (.f64 (pow.f64 b 7) (-.f64 (.f64 r -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 -1/2 (-.f64 (.f64 r -1/6) (.f64 r -1/2)))))) (+.f64 (.f64 r -1/720) (.f64 (-.f64 (.f64 r -1/6) (.f64 r -1/2)) 1/24))))) (.f64 (pow.f64 b 3) (-.f64 (.f64 r -1/6) (.f64 r -1/2)))))
(+.f64 (+.f64 (.f64 b r) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 -1/2 (.f64 r 1/3)))))) (+.f64 (.f64 (pow.f64 b 3) (.f64 r 1/3)) (.f64 (pow.f64 b 7) (-.f64 (.f64 r -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 -1/2 (.f64 r 1/3))))) (+.f64 (.f64 r -1/720) (.f64 (.f64 r 1/3) 1/24)))))))
(+.f64 (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 r -1/6)))) (+.f64 (+.f64 (.f64 b r) (.f64 (pow.f64 b 3) (.f64 1/3 r))) (.f64 (pow.f64 b 7) (-.f64 (.f64 r -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 r -1/6)))) (+.f64 (.f64 r -1/720) (*.f64 r 1/72)))))))
(+.f64 (+.f64 (.f64 b r) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 r -1/6))))) (+.f64 (.f64 (pow.f64 b 3) (.f64 1/3 r)) (.f64 (pow.f64 b 7) (-.f64 (.f64 r -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 r -1/6)))) (+.f64 (.f64 r -1/720) (*.f64 r 1/72)))))))
(+.f64 (.f64 (pow.f64 b 3) (.f64 1/3 r)) (+.f64 (+.f64 (.f64 b r) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 r -1/6))))) (.f64 (pow.f64 b 7) (-.f64 (.f64 r -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 r -1/6)))) (+.f64 (.f64 r -1/720) (*.f64 r 1/72)))))))
(+.f64 (+.f64 (+.f64 (.f64 b r) (.f64 (pow.f64 b 3) (.f64 1/3 r))) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 r -1/6))))) (.f64 (pow.f64 b 7) (-.f64 (.f64 r -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 r -1/6)))) (+.f64 (.f64 r -1/720) (*.f64 r 1/72))))))
(/.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) (cos.f64 b)) 0)
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 0 (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (sin.f64 b) (cos.f64 b))
(-.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 0)
(/.f64 (sin.f64 b) (cos.f64 b))
(-.f64 0 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 1)
(/.f64 (sin.f64 b) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 b)))))
(/.f64 (sin.f64 b) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b)))))
(/.f64 (sin.f64 b) (cos.f64 b))
(*.f64 1 (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (sin.f64 b) (cos.f64 b))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (sin.f64 b) (cos.f64 b))
(.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (sin.f64 b) (cos.f64 b))
(.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))))))
(/.f64 (sin.f64 b) (cos.f64 b))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))))))
(/.f64 (sin.f64 b) (cos.f64 b))
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 1)
(/.f64 (sin.f64 b) (cos.f64 b))
(neg.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 0)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(+.f64 0 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(-.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 0)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(-.f64 0 (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 r r)) 2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(neg.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 51 to 11 computations (78.4% saved)

series18.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	(*.f64 (sin.f64 a) (neg.f64 b))
1.0ms	b	@	inf	(.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b)))))
1.0ms	a	@	inf	(/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))
1.0ms	a	@	-inf	(/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 b))))
1.0ms	r	@	0	(.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b)))))

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`rational_best-5`
964×	`rational_best-4`
964×	`rational_best-2`
964×	`rational_best-3`
964×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	116
1	129	116
2	477	116
3	2018	116

Stop Event

1×	node limit

Counts

4 → 47

Calls

Call 1

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

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

simplify238.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1012×	`rational_best-simplify-78`
900×	`rational_best-simplify-2`
896×	`rational_best-simplify-80`
748×	`rational_best-simplify-43`
740×	`rational_best-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	263	7039
1	585	6631
2	1354	6609
3	2720	6589
4	5615	6577

Stop Event

1×	node limit

Counts

155 → 179

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)))
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(pow.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (*.f64 b (neg.f64 (sin.f64 a))))) 1)
(+.f64 (.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))) r) 0)
(+.f64 0 (.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))) r))
(-.f64 (.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))) r) 0)
(/.f64 (.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))) r) 1)
(/.f64 (.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))) r) (/.f64 (.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))) r) (.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))) r)))
(/.f64 (.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))) (+.f64 r r)) 2)
(pow.f64 (.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))) r) 1)
(+.f64 (*.f64 b (neg.f64 (sin.f64 a))) 0)
(+.f64 0 (*.f64 b (neg.f64 (sin.f64 a))))
(-.f64 (*.f64 b (neg.f64 (sin.f64 a))) 0)
(/.f64 (*.f64 b (neg.f64 (sin.f64 a))) 1)
(/.f64 (.f64 b (neg.f64 (sin.f64 a))) (/.f64 (.f64 b (neg.f64 (sin.f64 a))) (*.f64 b (neg.f64 (sin.f64 a)))))
(/.f64 (.f64 b (.f64 (sin.f64 a) -2)) 2)
(pow.f64 (*.f64 b (neg.f64 (sin.f64 a))) 1)
(-.f64 (+.f64 (cos.f64 a) (*.f64 b (neg.f64 (sin.f64 a)))) 0)
(.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) 1)
(.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (/.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))))
(.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 b (neg.f64 (sin.f64 a)))))))
(.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (/.f64 1 (/.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))))))
(.f64 1 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))))
(.f64 (/.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))))
(.f64 (/.f64 1 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))) (.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (+.f64 (cos.f64 a) (*.f64 b (neg.f64 (sin.f64 a))))))
(.f64 (.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))) (/.f64 1 (+.f64 (cos.f64 a) (*.f64 b (neg.f64 (sin.f64 a))))))
(.f64 (.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (/.f64 1 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))))) (+.f64 (cos.f64 a) (*.f64 b (neg.f64 (sin.f64 a)))))
(.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))) (.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))))) (.f64 (.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))) (.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))))))
(.f64 (/.f64 (/.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))) (.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (+.f64 (cos.f64 a) (*.f64 b (neg.f64 (sin.f64 a))))))
(.f64 (/.f64 (.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (/.f64 1 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))))) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))) (.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a))))))
(/.f64 (+.f64 (cos.f64 a) (*.f64 b (neg.f64 (sin.f64 a)))) 1)
(/.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (/.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) (+.f64 (cos.f64 a) (*.f64 b (neg.f64 (sin.f64 a))))))
(/.f64 (.f64 (+.f64 (cos.f64 a) (.f64 b (neg.f64 (sin.f64 a)))) 2) 2)
(pow.f64 (+.f64 (cos.f64 a) (*.f64 b (neg.f64 (sin.f64 a)))) 1)

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
✓	0.3b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
✓	0.4b	(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))
	2.5b	(cos.f64 (+.f64 b a))

Compiler

Compiled 87 to 22 computations (74.7% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite246.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`rational_best-5`
1192×	`rational_best-4`
1192×	`rational_best-2`
1192×	`rational_best-3`
1192×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	59
1	134	59
2	573	59
3	2335	59

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs

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

(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.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))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 b a) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (*.f64 (+.f64 b a) 2)) (cos.f64 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (fabs.f64 (/.f64 1 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (fabs.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (fabs.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (fabs.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (fabs.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (fabs.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (fabs.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (cos.f64 (+.f64 b a)) (fabs.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (cos.f64 (+.f64 b a))) (*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 0 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 0 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))))))

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

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

simplify290.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1088×	`rational_best-simplify-132`
920×	`rational_best-simplify-44`
690×	`rational_best-simplify-1`
668×	`rational_best-simplify-2`
598×	`rational_best-simplify-80`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	282	4257
1	609	4105
2	1236	4105
3	3317	4105
4	6707	4105

Stop Event

1×	node limit

Counts

135 → 158

Calls

Call 1

Inputs
(pow.f64 (cos.f64 a) 2)
(+.f64 (pow.f64 (cos.f64 a) 2) (.f64 -2 (.f64 (sin.f64 a) (*.f64 (cos.f64 a) b))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 -2 (.f64 (sin.f64 a) (.f64 (cos.f64 a) b))) (.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 (pow.f64 b 3) (+.f64 (.f64 (sin.f64 a) (cos.f64 a)) (.f64 1/3 (.f64 (sin.f64 a) (cos.f64 a))))) (+.f64 (.f64 -2 (.f64 (sin.f64 a) (.f64 (cos.f64 a) b))) (.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2)))))
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 b) 2)
(+.f64 (pow.f64 (cos.f64 b) 2) (.f64 -2 (.f64 (sin.f64 b) (*.f64 a (cos.f64 b)))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (pow.f64 (cos.f64 b) 2) (.f64 -2 (.f64 (sin.f64 b) (*.f64 a (cos.f64 b))))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (pow.f64 (cos.f64 b) 2) (+.f64 (.f64 -2 (.f64 (sin.f64 b) (.f64 a (cos.f64 b)))) (.f64 (pow.f64 a 3) (+.f64 (.f64 (sin.f64 b) (cos.f64 b)) (.f64 1/3 (*.f64 (sin.f64 b) (cos.f64 b))))))))
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2)
(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 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) 0)
(+.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) 0)
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) 1)
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(/.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 b a) 2))) 2)
(/.f64 (+.f64 (cos.f64 (*.f64 (+.f64 b a) 2)) (cos.f64 0)) 2)
(/.f64 (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) 2)) 2)
(pow.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) 1)
(fabs.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(fabs.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(fabs.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(fabs.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (fabs.f64 (/.f64 1 (cos.f64 (+.f64 b a))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) (.f64 (cos.f64 (+.f64 b a)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (fabs.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a)))))))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (fabs.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a)))))))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (fabs.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a)))))))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (fabs.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (fabs.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (fabs.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))
(fabs.f64 (*.f64 (cos.f64 (+.f64 b a)) (fabs.f64 (cos.f64 (+.f64 b a)))))
(fabs.f64 (.f64 (fabs.f64 (cos.f64 (+.f64 b a))) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(fabs.f64 (.f64 (fabs.f64 (cos.f64 (+.f64 b a))) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(+.f64 (cos.f64 (+.f64 b a)) 0)
(+.f64 0 (cos.f64 (+.f64 b a)))
(+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (cos.f64 (+.f64 b a)) 0)
(-.f64 0 (neg.f64 (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) (.f64 (cos.f64 a) 2)) (+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (cos.f64 (+.f64 b a)) 1)
(/.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) 2)
(/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) 2) -2)
(pow.f64 (cos.f64 (+.f64 b a)) 1)
(neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))
(cos.f64 (+.f64 b a))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(+.f64 0 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(*.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)

Outputs
(pow.f64 (cos.f64 a) 2)
(+.f64 (pow.f64 (cos.f64 a) 2) (.f64 -2 (.f64 (sin.f64 a) (*.f64 (cos.f64 a) b))))
(+.f64 (pow.f64 (cos.f64 a) 2) (.f64 -2 (.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))))
(+.f64 (pow.f64 (cos.f64 a) 2) (.f64 (cos.f64 a) (.f64 -2 (*.f64 (sin.f64 a) b))))
(+.f64 (pow.f64 (cos.f64 a) 2) (.f64 (cos.f64 a) (.f64 (sin.f64 a) (*.f64 -2 b))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 -2 (.f64 (sin.f64 a) (.f64 (cos.f64 a) b))) (.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 -2 (.f64 (cos.f64 a) (.f64 (sin.f64 a) b))) (.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 (pow.f64 (cos.f64 a) 2) -1)) (pow.f64 b 2))))
(+.f64 (+.f64 (pow.f64 (cos.f64 a) 2) (.f64 (cos.f64 a) (.f64 -2 (.f64 (sin.f64 a) b)))) (.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2)))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 (cos.f64 a) (.f64 (sin.f64 a) (.f64 -2 b))) (.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 (pow.f64 b 3) (+.f64 (.f64 (sin.f64 a) (cos.f64 a)) (.f64 1/3 (.f64 (sin.f64 a) (cos.f64 a))))) (+.f64 (.f64 -2 (.f64 (sin.f64 a) (.f64 (cos.f64 a) b))) (.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2)))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (.f64 (pow.f64 (cos.f64 a) 2) -1)) (pow.f64 b 2)) (+.f64 (.f64 -2 (.f64 (cos.f64 a) (.f64 (sin.f64 a) b))) (.f64 (pow.f64 b 3) (+.f64 (.f64 (cos.f64 a) (sin.f64 a)) (.f64 (sin.f64 a) (*.f64 1/3 (cos.f64 a))))))))
(+.f64 (+.f64 (.f64 (cos.f64 a) (.f64 -2 (.f64 (sin.f64 a) b))) (.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2))) (+.f64 (pow.f64 (cos.f64 a) 2) (.f64 (pow.f64 b 3) (.f64 (sin.f64 a) (+.f64 (*.f64 (cos.f64 a) 1/3) (cos.f64 a))))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2)) (+.f64 (.f64 (cos.f64 a) (.f64 (sin.f64 a) (.f64 -2 b))) (.f64 (sin.f64 a) (.f64 (pow.f64 b 3) (+.f64 (cos.f64 a) (*.f64 (cos.f64 a) 1/3)))))))
(+.f64 (.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2)) (+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 (cos.f64 a) (.f64 -2 (.f64 (sin.f64 a) b))) (.f64 (sin.f64 a) (.f64 (pow.f64 b 3) (+.f64 (cos.f64 a) (*.f64 (cos.f64 a) 1/3)))))))
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 b) 2)
(+.f64 (pow.f64 (cos.f64 b) 2) (.f64 -2 (.f64 (sin.f64 b) (*.f64 a (cos.f64 b)))))
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(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (+.f64 (/.f64 (.f64 a (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)) (neg.f64 (.f64 (pow.f64 a 2) (+.f64 (.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))))))) (neg.f64 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.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))))) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) -1/3))))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (+.f64 (/.f64 (.f64 a (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 a 2) (neg.f64 (+.f64 (.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 a 3) (neg.f64 (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.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))))) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) -1/3))))))
(/.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 b (*.f64 -1 a))))
(/.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 a b)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.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 a b)))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) 0)
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(+.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) 0)
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) 1)
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(/.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 b a) 2))) 2)
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(/.f64 (+.f64 (cos.f64 (*.f64 (+.f64 b a) 2)) (cos.f64 0)) 2)
(/.f64 (+.f64 (cos.f64 (*.f64 2 (+.f64 a b))) (cos.f64 0)) 2)
(/.f64 (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) 2)) 2)
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(pow.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) 1)
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (fabs.f64 (/.f64 1 (cos.f64 (+.f64 b a))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) (.f64 (cos.f64 (+.f64 b a)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (fabs.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a)))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (fabs.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a)))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (fabs.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a)))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (fabs.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))) (fabs.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))) (fabs.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 1 (cos.f64 (+.f64 b a)))) (.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (*.f64 (cos.f64 (+.f64 b a)) (fabs.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (.f64 (fabs.f64 (cos.f64 (+.f64 b a))) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (.f64 (fabs.f64 (cos.f64 (+.f64 b a))) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (fabs.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(+.f64 (cos.f64 (+.f64 b a)) 0)
(cos.f64 (+.f64 a b))
(+.f64 0 (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 a b))
(+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))
(cos.f64 (+.f64 a b))
(-.f64 (cos.f64 (+.f64 b a)) 0)
(cos.f64 (+.f64 a b))
(-.f64 0 (neg.f64 (cos.f64 (+.f64 b a))))
(cos.f64 (+.f64 a b))
(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
(cos.f64 (+.f64 a b))
(-.f64 (.f64 (cos.f64 b) (.f64 (cos.f64 a) 2)) (+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
(-.f64 (.f64 (cos.f64 a) (.f64 (cos.f64 b) 2)) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (.f64 (cos.f64 a) (.f64 2 (cos.f64 b))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (.f64 (cos.f64 b) (.f64 (cos.f64 a) 2)) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (cos.f64 (+.f64 b a)) 1)
(cos.f64 (+.f64 a b))
(/.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))
(cos.f64 (+.f64 a b))
(/.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))
(/.f64 (cos.f64 (+.f64 a b)) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(.f64 (cos.f64 (+.f64 a b)) (.f64 (/.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) 2) 2)
(cos.f64 (+.f64 a b))
(/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) 2) -2)
(cos.f64 (+.f64 a b))
(pow.f64 (cos.f64 (+.f64 b a)) 1)
(cos.f64 (+.f64 a b))
(neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(cos.f64 (+.f64 a b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(+.f64 0 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(-.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 0)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))

eval874.0ms (5.1%)

Compiler: Compiled 25568 to 10582 computations (58.6% saved)

prune496.0ms (2.9%)

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	794	22	816
Fresh	3	7	10
Picked	1	0	1
Done	0	4	4
Total	798	33	831

Error

0.1b

Counts

831 → 33

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	15.7b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
▶	27.2b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	29.6b	(/.f64 (*.f64 r b) (cos.f64 a))
	42.6b	(.f64 (sin.f64 b) (+.f64 r (.f64 b (*.f64 a r))))
	38.1b	(*.f64 (sin.f64 b) r)
	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (.f64 (cos.f64 a) 2)) (+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))
✓	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	23.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a))))
▶	22.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b))))
	26.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))
	26.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a)))))
	28.6b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (+.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b))) (.f64 (cos.f64 a) (.f64 (pow.f64 b 2) -1/2)))))
	28.7b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 a)))))
✓	28.4b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b)))))
	41.0b	(.f64 r (/.f64 (sin.f64 b) (+.f64 1 (.f64 b (neg.f64 a)))))
	15.8b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))
	15.8b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
	26.5b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (pow.f64 (cos.f64 b) 2))))
	26.1b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (pow.f64 (cos.f64 a) 2))))
	16.1b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 b a) 2))) 2))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 (+.f64 b a))))))
	27.3b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 b)))))
	27.1b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))))
	27.3b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
✓	27.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
	27.1b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
✓	29.6b	(*.f64 r (/.f64 b (cos.f64 a)))
▶	29.6b	(.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
	41.6b	(.f64 r (+.f64 (.f64 1/3 (pow.f64 b 3)) b))
	42.4b	(.f64 r (.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b)))))))
	61.8b	(.f64 r (neg.f64 (/.f64 (sin.f64 b) (.f64 b (sin.f64 a)))))
▶	41.1b	(*.f64 r b)

Compiler

Compiled 1194 to 702 computations (41.2% 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))
✓	0.2b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

Compiler

Compiled 55 to 12 computations (78.2% saved)

series6.0ms (0%)

Counts

4 → 28

Calls

27 calls:

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

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`rational_best-5`
1234×	`rational_best-4`
1234×	`rational_best-2`
1234×	`rational_best-3`
1234×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	143	68
2	569	68
3	2542	68

Stop Event

1×	node limit

Counts

4 → 43

Calls

Call 1

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

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

simplify254.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1452×	`rational_best-simplify-45`
996×	`rational_best-simplify-2`
852×	`rational_best-simplify-1`
746×	`rational_best-simplify-132`
628×	`rational_best-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	250	2995
1	501	2799
2	930	2705
3	2059	2703
4	3848	2703
5	7272	2703

Stop Event

1×	node limit

Counts

71 → 154

Calls

Call 1

Inputs
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(*.f64 (sin.f64 b) a)
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 (sin.f64 b) a))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 b) (pow.f64 a 7))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a))))
(*.f64 (sin.f64 a) b)
(+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 (sin.f64 a) b))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(+.f64 (.f64 -1/5040 (.f64 (sin.f64 a) (pow.f64 b 7))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(*.f64 r b)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 b 7) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r)))))
(cos.f64 b)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 a 6) (cos.f64 b))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b))))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (.f64 -1/720 (.f64 (cos.f64 a) (pow.f64 b 6))) (+.f64 (.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 0)
(+.f64 0 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 0)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 1)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))))
(.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))) (.f64 (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))))
(.f64 (/.f64 (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.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)
(+.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 0)
(+.f64 0 (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 0)
(/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1)
(/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) 2)
(/.f64 (.f64 (sin.f64 b) (.f64 (sin.f64 a) 2)) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) b) (-.f64 (/.f64 (PI.f64) 2) a))) (cos.f64 (-.f64 (-.f64 0 (neg.f64 a)) b))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) b) (-.f64 (/.f64 (PI.f64) 2) a))) (cos.f64 (-.f64 b (-.f64 0 (neg.f64 a))))) 2)
(pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1)
(+.f64 (*.f64 (sin.f64 b) r) 0)
(+.f64 0 (*.f64 (sin.f64 b) r))
(-.f64 (*.f64 (sin.f64 b) r) 0)
(/.f64 (*.f64 (sin.f64 b) r) 1)
(/.f64 (.f64 (sin.f64 b) r) (/.f64 (.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) (+.f64 r r)) 2)
(pow.f64 (*.f64 (sin.f64 b) r) 1)
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 0)
(+.f64 0 (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 0)
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 1)
(/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) 2)
(/.f64 (.f64 (cos.f64 a) (.f64 (cos.f64 b) 2)) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) 2)
(pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 1)

Outputs
(/.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 b r) (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2))))) (.f64 -1 (pow.f64 b 4))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (.f64 (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2)) -1/3)) (pow.f64 b 4))))))
(+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (+.f64 (.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (.f64 (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2)) -1/3)) (neg.f64 (pow.f64 b 4))) (+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 (/.f64 r (cos.f64 a)) -1/2) (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) (/.f64 (.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) (/.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 (.f64 r (sin.f64 b)) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)))))) (/.f64 (.f64 a (*.f64 r (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2))))
(+.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) (+.f64 (/.f64 (.f64 r (.f64 a (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2)) (neg.f64 (.f64 (pow.f64 a 2) (+.f64 (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))))))
(+.f64 (+.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) (/.f64 (.f64 r (.f64 a (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2))) (.f64 (pow.f64 a 2) (neg.f64 (+.f64 (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))))
(+.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) (+.f64 (/.f64 (.f64 r (.f64 a (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 a 2) (neg.f64 (+.f64 (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (/.f64 (.f64 a (.f64 r (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)))))) (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2))))))))))
(+.f64 (/.f64 (.f64 r (.f64 a (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) (.f64 -1 (+.f64 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))))) (cos.f64 b)) (.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)) -1/3))) (.f64 (pow.f64 a 2) (+.f64 (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))))))
(+.f64 (+.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) (/.f64 (.f64 r (.f64 a (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2))) (.f64 -1 (+.f64 (.f64 (pow.f64 a 2) (+.f64 (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))))) (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))))) (cos.f64 b)) (.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)) -1/3))))))
(+.f64 (+.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) (/.f64 (.f64 r (.f64 a (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2))) (neg.f64 (+.f64 (.f64 (pow.f64 a 2) (+.f64 (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))))) (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))))) (cos.f64 b)) (.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)) -1/3))))))
(+.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) (+.f64 (/.f64 (.f64 r (.f64 a (pow.f64 (sin.f64 b) 2))) (pow.f64 (cos.f64 b) 2)) (neg.f64 (+.f64 (.f64 (pow.f64 a 2) (+.f64 (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))))) (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))))) (cos.f64 b)) (.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)) -1/3)))))))
(*.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))
(+.f64 (.f64 a (sin.f64 b)) (.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))))
(.f64 (sin.f64 b) (+.f64 (.f64 -1/6 (pow.f64 a 3)) a))
(.f64 (sin.f64 b) (+.f64 a (.f64 -1/6 (pow.f64 a 3))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a)))
(+.f64 (.f64 a (sin.f64 b)) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (.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) (+.f64 (.f64 -1/6 (pow.f64 a 3)) a)))
(.f64 (sin.f64 b) (+.f64 (+.f64 (.f64 1/120 (pow.f64 a 5)) (*.f64 -1/6 (pow.f64 a 3))) a))
(.f64 (sin.f64 b) (+.f64 (.f64 1/120 (pow.f64 a 5)) (+.f64 a (*.f64 -1/6 (pow.f64 a 3)))))
(+.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 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (+.f64 (.f64 a (sin.f64 b)) (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5)))) (.f64 -1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7)))))
(+.f64 (.f64 (sin.f64 b) (+.f64 (.f64 1/120 (pow.f64 a 5)) a)) (.f64 (sin.f64 b) (+.f64 (.f64 -1/6 (pow.f64 a 3)) (*.f64 -1/5040 (pow.f64 a 7)))))
(.f64 (sin.f64 b) (+.f64 (+.f64 (.f64 -1/6 (pow.f64 a 3)) (.f64 -1/5040 (pow.f64 a 7))) (+.f64 a (.f64 1/120 (pow.f64 a 5)))))
(.f64 (sin.f64 b) (+.f64 a (+.f64 (.f64 1/120 (pow.f64 a 5)) (+.f64 (.f64 -1/6 (pow.f64 a 3)) (.f64 -1/5040 (pow.f64 a 7))))))
(.f64 (sin.f64 b) (+.f64 (.f64 1/120 (pow.f64 a 5)) (+.f64 (.f64 -1/5040 (pow.f64 a 7)) (+.f64 a (.f64 -1/6 (pow.f64 a 3))))))
(*.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))
(+.f64 (.f64 b (sin.f64 a)) (.f64 (sin.f64 a) (*.f64 -1/6 (pow.f64 b 3))))
(.f64 (sin.f64 a) (+.f64 (.f64 (pow.f64 b 3) -1/6) b))
(.f64 (sin.f64 a) (+.f64 b (.f64 (pow.f64 b 3) -1/6)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(+.f64 (.f64 (sin.f64 a) (.f64 -1/6 (pow.f64 b 3))) (+.f64 (.f64 b (sin.f64 a)) (.f64 (sin.f64 a) (*.f64 1/120 (pow.f64 b 5)))))
(+.f64 (.f64 (sin.f64 a) (+.f64 (.f64 (pow.f64 b 3) -1/6) b)) (.f64 (pow.f64 b 5) (.f64 1/120 (sin.f64 a))))
(.f64 (sin.f64 a) (+.f64 (.f64 1/120 (pow.f64 b 5)) (+.f64 b (*.f64 (pow.f64 b 3) -1/6))))
(.f64 (sin.f64 a) (+.f64 b (+.f64 (.f64 1/120 (pow.f64 b 5)) (*.f64 (pow.f64 b 3) -1/6))))
(.f64 (sin.f64 a) (+.f64 (.f64 (pow.f64 b 3) -1/6) (+.f64 b (*.f64 1/120 (pow.f64 b 5)))))
(+.f64 (.f64 -1/5040 (.f64 (sin.f64 a) (pow.f64 b 7))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(+.f64 (+.f64 (.f64 b (sin.f64 a)) (.f64 (sin.f64 a) (.f64 1/120 (pow.f64 b 5)))) (+.f64 (.f64 (sin.f64 a) (.f64 -1/6 (pow.f64 b 3))) (.f64 (sin.f64 a) (*.f64 -1/5040 (pow.f64 b 7)))))
(+.f64 (.f64 (sin.f64 a) (+.f64 (.f64 1/120 (pow.f64 b 5)) b)) (.f64 (sin.f64 a) (+.f64 (.f64 -1/5040 (pow.f64 b 7)) (*.f64 (pow.f64 b 3) -1/6))))
(.f64 (sin.f64 a) (+.f64 (+.f64 (.f64 (pow.f64 b 3) -1/6) (.f64 -1/5040 (pow.f64 b 7))) (+.f64 b (.f64 1/120 (pow.f64 b 5)))))
(.f64 (sin.f64 a) (+.f64 (.f64 (pow.f64 b 3) -1/6) (+.f64 (.f64 -1/5040 (pow.f64 b 7)) (+.f64 b (.f64 1/120 (pow.f64 b 5))))))
(.f64 (sin.f64 a) (+.f64 (.f64 -1/5040 (pow.f64 b 7)) (+.f64 (.f64 (pow.f64 b 3) -1/6) (+.f64 b (.f64 1/120 (pow.f64 b 5))))))
(*.f64 r b)
(*.f64 b r)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (.f64 b r) (.f64 (pow.f64 b 3) (*.f64 -1/6 r)))
(+.f64 (.f64 b r) (.f64 r (*.f64 (pow.f64 b 3) -1/6)))
(.f64 r (+.f64 b (.f64 (pow.f64 b 3) -1/6)))
(+.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 (pow.f64 b 3) (.f64 -1/6 r)) (+.f64 (.f64 b r) (.f64 1/120 (*.f64 r (pow.f64 b 5)))))
(+.f64 (.f64 b r) (+.f64 (.f64 1/120 (.f64 r (pow.f64 b 5))) (.f64 r (*.f64 (pow.f64 b 3) -1/6))))
(+.f64 (.f64 r (+.f64 b (.f64 (pow.f64 b 3) -1/6))) (.f64 (pow.f64 b 5) (.f64 r 1/120)))
(+.f64 (.f64 b r) (.f64 r (+.f64 (.f64 1/120 (pow.f64 b 5)) (.f64 (pow.f64 b 3) -1/6))))
(+.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 (.f64 (pow.f64 b 3) (.f64 -1/6 r)) (+.f64 (+.f64 (.f64 b r) (.f64 1/120 (.f64 r (pow.f64 b 5)))) (.f64 -1/5040 (*.f64 r (pow.f64 b 7)))))
(+.f64 (.f64 r (.f64 (pow.f64 b 3) -1/6)) (+.f64 (+.f64 (.f64 b r) (.f64 1/120 (.f64 r (pow.f64 b 5)))) (.f64 r (*.f64 -1/5040 (pow.f64 b 7)))))
(+.f64 (.f64 r (+.f64 b (.f64 (pow.f64 b 3) -1/6))) (.f64 r (+.f64 (.f64 -1/5040 (pow.f64 b 7)) (*.f64 1/120 (pow.f64 b 5)))))
(+.f64 (.f64 r (+.f64 b (.f64 -1/5040 (pow.f64 b 7)))) (.f64 r (+.f64 (.f64 1/120 (pow.f64 b 5)) (*.f64 (pow.f64 b 3) -1/6))))
(+.f64 (.f64 r (+.f64 b (.f64 (pow.f64 b 3) -1/6))) (.f64 r (+.f64 (.f64 1/120 (pow.f64 b 5)) (*.f64 -1/5040 (pow.f64 b 7)))))
(cos.f64 b)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))
(+.f64 (cos.f64 b) (.f64 -1/2 (.f64 (cos.f64 b) (pow.f64 a 2))))
(+.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 -1/2 (.f64 (cos.f64 b) (pow.f64 a 2))) (+.f64 (cos.f64 b) (.f64 1/24 (.f64 (cos.f64 b) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 b) (pow.f64 a 2))) (+.f64 (cos.f64 b) (.f64 (cos.f64 b) (.f64 1/24 (pow.f64 a 4)))))
(+.f64 (cos.f64 b) (.f64 (cos.f64 b) (+.f64 (.f64 1/24 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 2)))))
(+.f64 (cos.f64 b) (.f64 (cos.f64 b) (+.f64 (.f64 -1/2 (pow.f64 a 2)) (*.f64 1/24 (pow.f64 a 4)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 a 6) (cos.f64 b))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 b) (pow.f64 a 2))) (+.f64 (cos.f64 b) (.f64 1/24 (.f64 (cos.f64 b) (pow.f64 a 4))))) (.f64 -1/720 (.f64 (cos.f64 b) (pow.f64 a 6))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 b) (pow.f64 a 2))) (+.f64 (+.f64 (cos.f64 b) (.f64 (cos.f64 b) (.f64 1/24 (pow.f64 a 4)))) (.f64 -1/720 (.f64 (cos.f64 b) (pow.f64 a 6)))))
(+.f64 (.f64 (cos.f64 b) (+.f64 (.f64 1/24 (pow.f64 a 4)) (.f64 -1/2 (pow.f64 a 2)))) (+.f64 (cos.f64 b) (.f64 (pow.f64 a 6) (*.f64 (cos.f64 b) -1/720))))
(+.f64 (cos.f64 b) (+.f64 (.f64 1/24 (.f64 (cos.f64 b) (pow.f64 a 4))) (.f64 (cos.f64 b) (+.f64 (.f64 -1/2 (pow.f64 a 2)) (*.f64 -1/720 (pow.f64 a 6))))))
(+.f64 (cos.f64 b) (+.f64 (.f64 (cos.f64 b) (.f64 1/24 (pow.f64 a 4))) (.f64 (cos.f64 b) (+.f64 (.f64 -1/2 (pow.f64 a 2)) (*.f64 -1/720 (pow.f64 a 6))))))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (cos.f64 a) (.f64 (cos.f64 a) (.f64 (pow.f64 b 2) -1/2)))
(+.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 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))) (+.f64 (cos.f64 a) (.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))) (+.f64 (cos.f64 a) (.f64 (pow.f64 b 4) (.f64 1/24 (cos.f64 a)))))
(+.f64 (cos.f64 a) (.f64 (cos.f64 a) (+.f64 (.f64 (pow.f64 b 4) 1/24) (*.f64 (pow.f64 b 2) -1/2))))
(+.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 (+.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 -1/720 (pow.f64 b 6)))))
(+.f64 (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))) (.f64 (cos.f64 a) (+.f64 (.f64 -1/720 (pow.f64 b 6)) (*.f64 (pow.f64 b 4) 1/24))))
(+.f64 (cos.f64 a) (+.f64 (.f64 (cos.f64 a) (.f64 (pow.f64 b 2) -1/2)) (.f64 (cos.f64 a) (+.f64 (.f64 (pow.f64 b 4) 1/24) (*.f64 -1/720 (pow.f64 b 6))))))
(+.f64 (+.f64 (cos.f64 a) (.f64 (cos.f64 a) (.f64 (pow.f64 b 2) -1/2))) (.f64 (cos.f64 a) (+.f64 (.f64 (pow.f64 b 4) 1/24) (*.f64 -1/720 (pow.f64 b 6)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 (cos.f64 a) (.f64 -1/720 (pow.f64 b 6))) (.f64 (cos.f64 a) (+.f64 (.f64 (pow.f64 b 4) 1/24) (*.f64 (pow.f64 b 2) -1/2)))))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 0)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(+.f64 0 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(-.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 0)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 1)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))) (.f64 (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 1)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(+.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 0)
(*.f64 (sin.f64 a) (sin.f64 b))
(+.f64 0 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (sin.f64 b))
(-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 0)
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1)
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) 2)
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) (.f64 (sin.f64 a) 2)) 2)
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) 2)
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) b) (-.f64 (/.f64 (PI.f64) 2) a))) (cos.f64 (-.f64 (-.f64 0 (neg.f64 a)) b))) 2)
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) b) (-.f64 (/.f64 (PI.f64) 2) a))) (cos.f64 (-.f64 b (-.f64 0 (neg.f64 a))))) 2)
(*.f64 (sin.f64 a) (sin.f64 b))
(pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1)
(*.f64 (sin.f64 a) (sin.f64 b))
(+.f64 (*.f64 (sin.f64 b) r) 0)
(*.f64 r (sin.f64 b))
(+.f64 0 (*.f64 (sin.f64 b) r))
(*.f64 r (sin.f64 b))
(-.f64 (*.f64 (sin.f64 b) r) 0)
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) 1)
(*.f64 r (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (/.f64 (.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)))
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) (+.f64 r r)) 2)
(*.f64 r (sin.f64 b))
(pow.f64 (*.f64 (sin.f64 b) r) 1)
(*.f64 r (sin.f64 b))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 0)
(*.f64 (cos.f64 a) (cos.f64 b))
(+.f64 0 (*.f64 (cos.f64 a) (cos.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 0)
(*.f64 (cos.f64 a) (cos.f64 b))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 1)
(*.f64 (cos.f64 a) (cos.f64 b))
(/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (cos.f64 a) (cos.f64 b))
(/.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) 2)
(*.f64 (cos.f64 a) (cos.f64 b))
(/.f64 (.f64 (cos.f64 a) (.f64 (cos.f64 b) 2)) 2)
(*.f64 (cos.f64 a) (cos.f64 b))
(/.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) 2)
(*.f64 (cos.f64 a) (cos.f64 b))
(pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 1)
(*.f64 (cos.f64 a) (cos.f64 b))

localize4.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite364.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1158×	`rational_best-simplify-57`
706×	`rational_best-simplify-43`
628×	`rational_best-5`
626×	`rational_best-4`
626×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	81	21
2	309	21
3	1309	21
4	5786	21

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify284.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1102×	`rational_best-simplify-2`
882×	`rational_best-simplify-80`
786×	`rational_best-simplify-78`
732×	`rational_best-simplify-94`
648×	`rational_best-simplify-129`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	814
1	157	730
2	284	706
3	1051	706
4	2209	706
5	4100	706
6	7848	706

Stop Event

1×	node limit

Counts

24 → 38

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 (*.f64 (sin.f64 b) r) (cos.f64 b)) 0)
(+.f64 0 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(-.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 0)
(-.f64 0 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) 1)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))
(.f64 (/.f64 (/.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 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(.f64 (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(.f64 (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(.f64 (/.f64 1 (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (.f64 (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))))
(.f64 (/.f64 (/.f64 (/.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 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(.f64 (/.f64 (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.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 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1)
(neg.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (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))
(+.f64 (.f64 r b) (.f64 (-.f64 (.f64 r -1/6) (.f64 r -1/2)) (pow.f64 b 3)))
(+.f64 (.f64 r b) (.f64 (*.f64 r 1/3) (pow.f64 b 3)))
(+.f64 (.f64 r b) (.f64 r (*.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))))))))
(+.f64 (.f64 (-.f64 (.f64 r -1/6) (.f64 r -1/2)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 -1/2 (-.f64 (.f64 r -1/6) (.f64 r -1/2))))))))
(+.f64 (+.f64 (.f64 r b) (.f64 (.f64 r 1/3) (pow.f64 b 3))) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 -1/2 (.f64 r 1/3))))))
(+.f64 (.f64 r b) (+.f64 (.f64 r (.f64 (pow.f64 b 3) 1/3)) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (*.f64 r -1/6))))))
(+.f64 (+.f64 (.f64 r b) (.f64 r (.f64 (pow.f64 b 3) 1/3))) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (*.f64 r -1/6)))))
(+.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 (-.f64 (.f64 r -1/6) (.f64 r -1/2)) (pow.f64 b 3)) (+.f64 (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 -1/2 (-.f64 (.f64 r -1/6) (.f64 r -1/2))))))) (.f64 (-.f64 (.f64 r -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 -1/2 (-.f64 (.f64 r -1/6) (.f64 r -1/2)))))) (+.f64 (.f64 r -1/720) (.f64 (-.f64 (.f64 r -1/6) (.f64 r -1/2)) 1/24)))) (pow.f64 b 7))))
(+.f64 (.f64 (-.f64 (.f64 r -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 -1/2 (.f64 r 1/3))))) (+.f64 (.f64 r -1/720) (.f64 (.f64 r 1/3) 1/24)))) (pow.f64 b 7)) (+.f64 (+.f64 (.f64 r b) (.f64 (.f64 r 1/3) (pow.f64 b 3))) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 -1/2 (.f64 r 1/3)))))))
(+.f64 (.f64 r (.f64 (pow.f64 b 3) 1/3)) (+.f64 (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 r -1/6))))) (.f64 (-.f64 (.f64 r -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 r -1/6)))) (+.f64 (.f64 r -1/720) (*.f64 r 1/72)))) (pow.f64 b 7))))
(+.f64 (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 r -1/6))))) (+.f64 (.f64 r (.f64 (pow.f64 b 3) 1/3)) (.f64 (-.f64 (.f64 r -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 r -1/6)))) (+.f64 (.f64 r -1/720) (*.f64 r 1/72)))) (pow.f64 b 7))))
(+.f64 (.f64 r b) (+.f64 (.f64 r (.f64 (pow.f64 b 3) 1/3)) (+.f64 (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 r -1/6)))) (.f64 (-.f64 (.f64 r -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 r -1/6)))) (+.f64 (.f64 r -1/720) (*.f64 r 1/72)))) (pow.f64 b 7)))))
(+.f64 (+.f64 (.f64 r b) (.f64 r (.f64 (pow.f64 b 3) 1/3))) (+.f64 (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 r -1/6)))) (.f64 (-.f64 (.f64 r -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 r 1/120) (+.f64 (.f64 r 1/24) (.f64 r -1/6)))) (+.f64 (.f64 r -1/720) (*.f64 r 1/72)))) (pow.f64 b 7))))
(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 0)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+.f64 0 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(-.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 0)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(-.f64 0 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) 1)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(.f64 (/.f64 (/.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 r (sin.f64 b)) (cos.f64 b))
(.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(.f64 (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(.f64 (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(.f64 (/.f64 1 (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (.f64 (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(.f64 (/.f64 (/.f64 (/.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 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(.f64 (/.f64 (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.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 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) 1)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(neg.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 61 to 12 computations (80.3% saved)

series9.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

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

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1172×	`rational_best-5`
1170×	`rational_best-4`
1170×	`rational_best-2`
1170×	`rational_best-3`
1170×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	99
1	139	99
2	546	99
3	2380	99

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (sin.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b (sin.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (sin.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (sin.f64 a)) (/.f64 (*.f64 b (sin.f64 a)) (*.f64 b (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 a) (+.f64 b b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sin.f64 a)) 1)))))

simplify234.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1196×	`rational_best-simplify-2`
754×	`rational_best-simplify-49`
744×	`rational_best-simplify-50`
726×	`rational_best-simplify-80`
682×	`rational_best-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	266	6694
1	565	6470
2	987	6430
3	2092	6416
4	3523	6412
5	6062	6412

Stop Event

1×	node limit

Counts

94 → 144

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 -1 (.f64 (+.f64 (.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 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 4))) (+.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 -1 (/.f64 (sin.f64 b) (.f64 (sin.f64 a) b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (.f64 -1 (/.f64 (sin.f64 b) (.f64 (sin.f64 a) b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2))) (.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))) (.f64 -1 (/.f64 (sin.f64 b) (.f64 (sin.f64 a) b)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 (cos.f64 b) 3))) (.f64 (pow.f64 (sin.f64 a) 4) (pow.f64 b 4)))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2))) (.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))) (.f64 -1 (/.f64 (sin.f64 b) (.f64 (sin.f64 a) b))))))
(.f64 -1 (/.f64 (sin.f64 b) (.f64 (sin.f64 a) b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (.f64 -1 (/.f64 (sin.f64 b) (.f64 (sin.f64 a) b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2))) (.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))) (.f64 -1 (/.f64 (sin.f64 b) (.f64 (sin.f64 a) b)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 (cos.f64 b) 3))) (.f64 (pow.f64 (sin.f64 a) 4) (pow.f64 b 4)))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2))) (.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))) (.f64 -1 (/.f64 (sin.f64 b) (.f64 (sin.f64 a) b))))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) (.f64 a b)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) (pow.f64 b 2)) (pow.f64 (cos.f64 b) 3)))))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (.f64 (sin.f64 b) (*.f64 a b)) (pow.f64 (cos.f64 b) 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) (pow.f64 b 2)) (pow.f64 (cos.f64 b) 3)))))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 b) b) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) b) (pow.f64 (cos.f64 b) 2))) (/.f64 (.f64 b (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) (pow.f64 b 2)) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)))) (pow.f64 a 3))) (/.f64 (.f64 (sin.f64 b) (*.f64 a b)) (pow.f64 (cos.f64 b) 2)))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) b)))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 4))))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (cos.f64 a) (.f64 (cos.f64 b) r))) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (.f64 (sin.f64 a) b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (cos.f64 a) (.f64 (cos.f64 b) r))) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (.f64 (sin.f64 a) b))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 a) 2) (.f64 (pow.f64 (cos.f64 b) 2) r))) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (cos.f64 a) (.f64 (cos.f64 b) r))) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (.f64 (sin.f64 a) b))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 a) 3) (.f64 (pow.f64 (cos.f64 b) 3) r))) (.f64 (pow.f64 (sin.f64 a) 4) (pow.f64 b 4)))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 a) 2) (.f64 (pow.f64 (cos.f64 b) 2) r))) (.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (cos.f64 a) (.f64 (cos.f64 b) r))) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (.f64 (sin.f64 a) b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (cos.f64 a) (.f64 (cos.f64 b) r))) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (.f64 (sin.f64 a) b))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 a) 2) (.f64 (pow.f64 (cos.f64 b) 2) r))) (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (cos.f64 a) (.f64 (cos.f64 b) r))) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 b 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (.f64 (sin.f64 a) b))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 a) 3) (.f64 (pow.f64 (cos.f64 b) 3) r))) (.f64 (pow.f64 (sin.f64 a) 4) (pow.f64 b 4)))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 a) 2) (.f64 (pow.f64 (cos.f64 b) 2) r))) (.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 b 3)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a (.f64 b r))) (pow.f64 (cos.f64 b) 2)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 2))) (/.f64 (.f64 (sin.f64 b) (.f64 a (*.f64 r b))) (pow.f64 (cos.f64 b) 2))))
(+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 b) (.f64 b r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) (.f64 r b)) (pow.f64 (cos.f64 b) 2))) (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) b) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) (.f64 a (*.f64 r b))) (pow.f64 (cos.f64 b) 2)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) b)))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 -1/6 (*.f64 (pow.f64 a 3) b)))
(+.f64 (.f64 a b) (+.f64 (.f64 1/120 (.f64 (pow.f64 a 5) b)) (.f64 -1/6 (*.f64 (pow.f64 a 3) b))))
(+.f64 (.f64 a b) (+.f64 (.f64 1/120 (.f64 (pow.f64 a 5) b)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) b)) (.f64 -1/5040 (*.f64 (pow.f64 a 7) b)))))
(+.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) 0)
(+.f64 0 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))))
(-.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) 0)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))) 1)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a))))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))))))
(.f64 1 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))))
(.f64 (/.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))))
(.f64 (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))) (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))))
(.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))) (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))))
(.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))) (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))))) (.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))) (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))))))
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))) (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))) (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a))))))
(pow.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) 1)
(+.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))) r) 0)
(+.f64 0 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))) r))
(-.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))) r) 0)
(/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))) r) 1)
(/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) r) (/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) r) (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))) r)))
(/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))) (+.f64 r r)) 2)
(pow.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))) r) 1)
(+.f64 (*.f64 b (sin.f64 a)) 0)
(+.f64 0 (*.f64 b (sin.f64 a)))
(-.f64 (*.f64 b (sin.f64 a)) 0)
(/.f64 (*.f64 b (sin.f64 a)) 1)
(/.f64 (.f64 b (sin.f64 a)) (/.f64 (.f64 b (sin.f64 a)) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 a) (+.f64 b b)) 2)
(pow.f64 (*.f64 b (sin.f64 a)) 1)

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 (-.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 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/6) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/6) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3))))
(+.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/6) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 -1 (.f64 (+.f64 (.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 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 4))) (+.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)))))
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(.f64 b (+.f64 (.f64 (pow.f64 a 3) -1/6) a))
(.f64 b (+.f64 a (.f64 (pow.f64 a 3) -1/6)))
(+.f64 (.f64 a b) (+.f64 (.f64 1/120 (.f64 (pow.f64 a 5) b)) (.f64 -1/6 (*.f64 (pow.f64 a 3) b))))
(+.f64 (.f64 b a) (+.f64 (.f64 (pow.f64 a 3) (.f64 -1/6 b)) (.f64 1/120 (*.f64 b (pow.f64 a 5)))))
(+.f64 (.f64 b a) (+.f64 (.f64 (pow.f64 a 3) (.f64 b -1/6)) (.f64 1/120 (*.f64 b (pow.f64 a 5)))))
(+.f64 (.f64 (pow.f64 a 3) (.f64 b -1/6)) (.f64 b (+.f64 (.f64 1/120 (pow.f64 a 5)) a)))
(+.f64 (.f64 b a) (.f64 b (+.f64 (.f64 (pow.f64 a 3) -1/6) (.f64 1/120 (pow.f64 a 5)))))
(+.f64 (.f64 a b) (+.f64 (.f64 1/120 (.f64 (pow.f64 a 5) b)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) b)) (.f64 -1/5040 (*.f64 (pow.f64 a 7) b)))))
(+.f64 (.f64 b a) (+.f64 (.f64 1/120 (.f64 b (pow.f64 a 5))) (+.f64 (.f64 (pow.f64 a 3) (.f64 -1/6 b)) (.f64 -1/5040 (*.f64 b (pow.f64 a 7))))))
(+.f64 (.f64 b a) (+.f64 (.f64 (pow.f64 a 3) (.f64 b -1/6)) (+.f64 (.f64 b (.f64 -1/5040 (pow.f64 a 7))) (.f64 1/120 (*.f64 b (pow.f64 a 5))))))
(+.f64 (.f64 b (+.f64 (.f64 -1/5040 (pow.f64 a 7)) (.f64 (pow.f64 a 3) -1/6))) (.f64 b (+.f64 (*.f64 1/120 (pow.f64 a 5)) a)))
(+.f64 (.f64 b (+.f64 (.f64 (pow.f64 a 3) -1/6) (.f64 -1/5040 (pow.f64 a 7)))) (.f64 b (+.f64 a (*.f64 1/120 (pow.f64 a 5)))))
(+.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) 0)
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 b (sin.f64 a))))
(+.f64 0 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 b (sin.f64 a))))
(-.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) 0)
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 b (sin.f64 a))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))) 1)
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 b (sin.f64 a))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a))))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 b (sin.f64 a))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 b (sin.f64 a))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 b (sin.f64 a))))
(.f64 1 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 b (sin.f64 a))))
(.f64 (/.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 b (sin.f64 a))))
(.f64 (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))) (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 b (sin.f64 a))))
(.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))) (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 b (sin.f64 a))))
(.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 b (sin.f64 a))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))) (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))))) (.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))) (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 b (sin.f64 a))))
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))) (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 b (sin.f64 a))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a))))) (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a))))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 b (sin.f64 a))))
(pow.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) 1)
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 b (sin.f64 a))))
(+.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))) r) 0)
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))))
(+.f64 0 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))) r))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))))
(-.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))) r) 0)
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))))
(/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))) r) 1)
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))))
(/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) r) (/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 b (sin.f64 a)))) r) (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))) r)))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))))
(/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))) (+.f64 r r)) 2)
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))))
(pow.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 b (sin.f64 a)))) r) 1)
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a)))))
(+.f64 (*.f64 b (sin.f64 a)) 0)
(*.f64 b (sin.f64 a))
(+.f64 0 (*.f64 b (sin.f64 a)))
(*.f64 b (sin.f64 a))
(-.f64 (*.f64 b (sin.f64 a)) 0)
(*.f64 b (sin.f64 a))
(/.f64 (*.f64 b (sin.f64 a)) 1)
(*.f64 b (sin.f64 a))
(/.f64 (.f64 b (sin.f64 a)) (/.f64 (.f64 b (sin.f64 a)) (*.f64 b (sin.f64 a))))
(*.f64 b (sin.f64 a))
(/.f64 (*.f64 (sin.f64 a) (+.f64 b b)) 2)
(*.f64 b (sin.f64 a))
(pow.f64 (*.f64 b (sin.f64 a)) 1)
(*.f64 b (sin.f64 a))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 b (cos.f64 a))
✓	0.3b	(pow.f64 (cos.f64 a) 2)
✓	1.5b	(.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
✓	3.6b	(*.f64 (sin.f64 a) (pow.f64 b 2))

Compiler

Compiled 73 to 35 computations (52.1% saved)

series9.0ms (0.1%)

Counts

3 → 44

Calls

18 calls:

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

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`rational_best-5`
964×	`rational_best-4`
964×	`rational_best-2`
964×	`rational_best-3`
964×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	83
1	137	83
2	474	83
3	2022	83

Stop Event

1×	node limit

Counts

3 → 32

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 a) (pow.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (*.f64 (sin.f64 a) (pow.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 a) (*.f64 2 (pow.f64 b 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) 1)))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 a) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cos.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (cos.f64 a) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 a) 2) (*.f64 (pow.f64 (cos.f64 a) 2) (/.f64 1 (pow.f64 (cos.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 a) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (pow.f64 (cos.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 a)) 2) (/.f64 1 (pow.f64 (cos.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (/.f64 1 (pow.f64 (cos.f64 a) 2))) (pow.f64 (cos.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 a)) 2)) (*.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 a)) 2) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (pow.f64 (cos.f64 a) 2)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 a) 2) (/.f64 1 (pow.f64 (cos.f64 a) 2))) (pow.f64 (cos.f64 a) 2)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cos.f64 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cos.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (cos.f64 a) 2)) 2)))))

simplify185.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1244×	`rational_best-simplify-47`
842×	`rational_best-simplify-132`
822×	`rational_best-simplify-1`
712×	`rational_best-simplify-54`
606×	`rational_best-simplify-80`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	3004
1	246	2980
2	474	2908
3	1157	2872
4	3766	2872
5	6851	2872

Stop Event

1×	node limit

Counts

76 → 93

Calls

Call 1

Inputs
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 2))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 a 5) (pow.f64 b 2))) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 2)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 a 5) (pow.f64 b 2))) (+.f64 (.f64 a (pow.f64 b 2)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) (pow.f64 b 2))) (.f64 -1/5040 (*.f64 (pow.f64 a 7) (pow.f64 b 2))))))
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(/.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 (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 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (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 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (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 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r b)
(+.f64 (.f64 a (.f64 (pow.f64 b 2) r)) (*.f64 r b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 a (.f64 (pow.f64 b 2) r)) (.f64 r b)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 b 2)) (.f64 -1 (pow.f64 b 2))) (.f64 (pow.f64 a 3) r)) (+.f64 (.f64 a (.f64 (pow.f64 b 2) r)) (.f64 r b))))
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
1
(+.f64 (*.f64 -1 (pow.f64 a 2)) 1)
(+.f64 (.f64 1/3 (pow.f64 a 4)) (+.f64 (.f64 -1 (pow.f64 a 2)) 1))
(+.f64 (.f64 -2/45 (pow.f64 a 6)) (+.f64 (.f64 1/3 (pow.f64 a 4)) (+.f64 (*.f64 -1 (pow.f64 a 2)) 1)))
(+.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) 0)
(+.f64 0 (*.f64 (sin.f64 a) (pow.f64 b 2)))
(-.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) 0)
(/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) 1)
(/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (*.f64 (sin.f64 a) (pow.f64 b 2))))
(/.f64 (.f64 (sin.f64 a) (.f64 2 (pow.f64 b 2))) 2)
(pow.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) 1)
(+.f64 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))) 0)
(+.f64 0 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(-.f64 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))) 0)
(/.f64 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))) 1)
(/.f64 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))) (/.f64 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))) (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))))
(/.f64 (.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) (+.f64 r r)) 2)
(pow.f64 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))) 1)
(+.f64 (pow.f64 (cos.f64 a) 2) 0)
(+.f64 0 (pow.f64 (cos.f64 a) 2))
(-.f64 (pow.f64 (cos.f64 a) 2) 0)
(*.f64 (pow.f64 (cos.f64 a) 2) 1)
(*.f64 (pow.f64 (cos.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 a) 2)))
(.f64 (pow.f64 (cos.f64 a) 2) (.f64 (pow.f64 (cos.f64 a) 2) (/.f64 1 (pow.f64 (cos.f64 a) 2))))
(*.f64 (pow.f64 (cos.f64 a) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 a) 2))))
(*.f64 1 (pow.f64 (cos.f64 a) 2))
(*.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (pow.f64 (cos.f64 a) 2))
(.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 a)) 2))
(.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 a)) 2) (/.f64 1 (pow.f64 (cos.f64 a) 2)))
(.f64 (.f64 (pow.f64 (cos.f64 a) 2) (/.f64 1 (pow.f64 (cos.f64 a) 2))) (pow.f64 (cos.f64 a) 2))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 a)) 2)) (.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 a)) 2) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 a)) 2)))
(.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (pow.f64 (cos.f64 a) 2)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 a)) 2))
(.f64 (/.f64 (.f64 (pow.f64 (cos.f64 a) 2) (/.f64 1 (pow.f64 (cos.f64 a) 2))) (pow.f64 (cos.f64 a) 2)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 a)) 2))
(/.f64 (pow.f64 (cos.f64 a) 2) 1)
(/.f64 (pow.f64 (cos.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 a) 2)))
(/.f64 (*.f64 2 (pow.f64 (cos.f64 a) 2)) 2)

Outputs
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 2))))
(+.f64 (.f64 a (pow.f64 b 2)) (.f64 (pow.f64 a 3) (*.f64 (pow.f64 b 2) -1/6)))
(+.f64 (.f64 a (pow.f64 b 2)) (.f64 (pow.f64 b 2) (*.f64 -1/6 (pow.f64 a 3))))
(.f64 (pow.f64 b 2) (+.f64 (.f64 -1/6 (pow.f64 a 3)) a))
(.f64 (pow.f64 b 2) (+.f64 a (.f64 -1/6 (pow.f64 a 3))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 a 5) (pow.f64 b 2))) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 2)))))
(+.f64 (+.f64 (.f64 a (pow.f64 b 2)) (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 2) -1/6))) (.f64 1/120 (*.f64 (pow.f64 b 2) (pow.f64 a 5))))
(+.f64 (+.f64 (.f64 a (pow.f64 b 2)) (.f64 (pow.f64 b 2) (.f64 -1/6 (pow.f64 a 3)))) (.f64 (pow.f64 b 2) (*.f64 1/120 (pow.f64 a 5))))
(+.f64 (.f64 a (pow.f64 b 2)) (.f64 (pow.f64 b 2) (+.f64 (.f64 1/120 (pow.f64 a 5)) (.f64 -1/6 (pow.f64 a 3)))))
(.f64 (pow.f64 b 2) (+.f64 (+.f64 (.f64 1/120 (pow.f64 a 5)) (*.f64 -1/6 (pow.f64 a 3))) a))
(.f64 (pow.f64 b 2) (+.f64 (.f64 1/120 (pow.f64 a 5)) (+.f64 a (*.f64 -1/6 (pow.f64 a 3)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 a 5) (pow.f64 b 2))) (+.f64 (.f64 a (pow.f64 b 2)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) (pow.f64 b 2))) (.f64 -1/5040 (*.f64 (pow.f64 a 7) (pow.f64 b 2))))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 b 2) (pow.f64 a 5))) (+.f64 (.f64 a (pow.f64 b 2)) (+.f64 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 2) -1/6)) (.f64 (pow.f64 a 7) (*.f64 -1/5040 (pow.f64 b 2))))))
(+.f64 (+.f64 (.f64 a (pow.f64 b 2)) (.f64 (pow.f64 b 2) (.f64 -1/6 (pow.f64 a 3)))) (+.f64 (.f64 (pow.f64 b 2) (.f64 -1/5040 (pow.f64 a 7))) (.f64 (pow.f64 b 2) (*.f64 1/120 (pow.f64 a 5)))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1/6 (pow.f64 a 3)) a)) (.f64 (pow.f64 b 2) (+.f64 (.f64 1/120 (pow.f64 a 5)) (*.f64 -1/5040 (pow.f64 a 7)))))
(.f64 (pow.f64 b 2) (+.f64 (+.f64 (.f64 -1/5040 (pow.f64 a 7)) (.f64 -1/6 (pow.f64 a 3))) (+.f64 a (.f64 1/120 (pow.f64 a 5)))))
(.f64 (pow.f64 b 2) (+.f64 (.f64 -1/5040 (pow.f64 a 7)) (+.f64 (.f64 1/120 (pow.f64 a 5)) (+.f64 a (.f64 -1/6 (pow.f64 a 3))))))
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(/.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 (pow.f64 b 2) (.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 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 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 (pow.f64 b 2) (.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 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 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 (pow.f64 b 2) (.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 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 b r) (cos.f64 a)))
(/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 a) 2))
(/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))
(+.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 (pow.f64 b 2) (.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 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 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 (pow.f64 b 2) (.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 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 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 (pow.f64 b 2) (.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 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 b r) (cos.f64 a)))
(/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2))
(/.f64 (.f64 (pow.f64 b 2) (.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 a) 2))
(/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))
(+.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 (pow.f64 b 2) (.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 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 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 (pow.f64 b 2) (.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 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 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 (pow.f64 b 2) (.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 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 b r) (cos.f64 a)))
(*.f64 r b)
(*.f64 b r)
(+.f64 (.f64 a (.f64 (pow.f64 b 2) r)) (*.f64 r b))
(+.f64 (.f64 b r) (.f64 (pow.f64 b 2) (*.f64 a r)))
(.f64 r (+.f64 (.f64 a (pow.f64 b 2)) b))
(.f64 r (+.f64 b (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 a (.f64 (pow.f64 b 2) r)) (.f64 r b)))
(+.f64 (+.f64 (.f64 b r) (.f64 (pow.f64 b 2) (.f64 a r))) (.f64 1/2 (.f64 r (.f64 (pow.f64 a 2) b))))
(+.f64 (+.f64 (.f64 b r) (.f64 (pow.f64 b 2) (.f64 a r))) (.f64 r (.f64 1/2 (.f64 b (pow.f64 a 2)))))
(+.f64 (.f64 b r) (.f64 r (+.f64 (.f64 b (.f64 1/2 (pow.f64 a 2))) (*.f64 a (pow.f64 b 2)))))
(.f64 r (+.f64 (+.f64 (.f64 a (pow.f64 b 2)) (.f64 b (.f64 1/2 (pow.f64 a 2)))) b))
(.f64 r (+.f64 b (+.f64 (.f64 a (pow.f64 b 2)) (.f64 b (.f64 1/2 (pow.f64 a 2))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 b 2)) (.f64 -1 (pow.f64 b 2))) (.f64 (pow.f64 a 3) r)) (+.f64 (.f64 a (.f64 (pow.f64 b 2) r)) (.f64 r b))))
(+.f64 (+.f64 (.f64 b r) (.f64 (pow.f64 b 2) (.f64 a r))) (+.f64 (.f64 (-.f64 (.f64 (pow.f64 b 2) -1/6) (.f64 (pow.f64 b 2) -1)) (.f64 (pow.f64 a 3) r)) (.f64 1/2 (.f64 r (.f64 (pow.f64 a 2) b)))))
(+.f64 (+.f64 (.f64 b r) (.f64 (pow.f64 b 2) (.f64 a r))) (+.f64 (.f64 r (.f64 1/2 (.f64 b (pow.f64 a 2)))) (.f64 r (.f64 (*.f64 (pow.f64 b 2) 5/6) (pow.f64 a 3)))))
(+.f64 (.f64 r (+.f64 (.f64 a (pow.f64 b 2)) b)) (.f64 r (+.f64 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 2) 5/6)) (.f64 b (*.f64 1/2 (pow.f64 a 2))))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 (.f64 (.f64 (pow.f64 a 3) r) 5/6) (.f64 a r))) (.f64 b (+.f64 (.f64 (pow.f64 a 2) (*.f64 r 1/2)) r)))
(.f64 r (+.f64 b (+.f64 (.f64 a (pow.f64 b 2)) (+.f64 (.f64 b (.f64 1/2 (pow.f64 a 2))) (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 2) 5/6))))))
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) r)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
1
(+.f64 (*.f64 -1 (pow.f64 a 2)) 1)
(+.f64 1 (*.f64 (pow.f64 a 2) -1))
(+.f64 1 (neg.f64 (pow.f64 a 2)))
(+.f64 (.f64 1/3 (pow.f64 a 4)) (+.f64 (.f64 -1 (pow.f64 a 2)) 1))
(+.f64 1 (+.f64 (.f64 (pow.f64 a 2) -1) (.f64 1/3 (pow.f64 a 4))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 4))))
(+.f64 (neg.f64 (pow.f64 a 2)) (+.f64 1 (*.f64 1/3 (pow.f64 a 4))))
(+.f64 (+.f64 1 (neg.f64 (pow.f64 a 2))) (*.f64 1/3 (pow.f64 a 4)))
(+.f64 (.f64 -2/45 (pow.f64 a 6)) (+.f64 (.f64 1/3 (pow.f64 a 4)) (+.f64 (*.f64 -1 (pow.f64 a 2)) 1)))
(+.f64 (+.f64 1 (.f64 (pow.f64 a 2) -1)) (+.f64 (.f64 1/3 (pow.f64 a 4)) (*.f64 -2/45 (pow.f64 a 6))))
(+.f64 (.f64 1/3 (pow.f64 a 4)) (+.f64 (+.f64 1 (neg.f64 (pow.f64 a 2))) (.f64 -2/45 (pow.f64 a 6))))
(+.f64 (+.f64 1 (neg.f64 (pow.f64 a 2))) (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 -2/45 (pow.f64 a 6))))
(+.f64 (neg.f64 (pow.f64 a 2)) (+.f64 1 (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 -2/45 (pow.f64 a 6)))))
(+.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) 0)
(*.f64 (pow.f64 b 2) (sin.f64 a))
(+.f64 0 (*.f64 (sin.f64 a) (pow.f64 b 2)))
(*.f64 (pow.f64 b 2) (sin.f64 a))
(-.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) 0)
(*.f64 (pow.f64 b 2) (sin.f64 a))
(/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) 1)
(*.f64 (pow.f64 b 2) (sin.f64 a))
(/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (*.f64 (sin.f64 a) (pow.f64 b 2))))
(*.f64 (pow.f64 b 2) (sin.f64 a))
(/.f64 (.f64 (sin.f64 a) (.f64 2 (pow.f64 b 2))) 2)
(*.f64 (pow.f64 b 2) (sin.f64 a))
(pow.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) 1)
(*.f64 (pow.f64 b 2) (sin.f64 a))
(+.f64 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))) 0)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(+.f64 0 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(-.f64 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))) 0)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(/.f64 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))) 1)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(/.f64 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))) (/.f64 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))) (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))))
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(/.f64 (.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))) (+.f64 r r)) 2)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(pow.f64 (.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))) 1)
(.f64 (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (pow.f64 b 2) (sin.f64 a)) (pow.f64 (cos.f64 a) 2))) r)
(+.f64 (pow.f64 (cos.f64 a) 2) 0)
(pow.f64 (cos.f64 a) 2)
(+.f64 0 (pow.f64 (cos.f64 a) 2))
(pow.f64 (cos.f64 a) 2)
(-.f64 (pow.f64 (cos.f64 a) 2) 0)
(pow.f64 (cos.f64 a) 2)
(*.f64 (pow.f64 (cos.f64 a) 2) 1)
(pow.f64 (cos.f64 a) 2)
(*.f64 (pow.f64 (cos.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 a) 2)))
(pow.f64 (cos.f64 a) 2)
(.f64 (pow.f64 (cos.f64 a) 2) (.f64 (pow.f64 (cos.f64 a) 2) (/.f64 1 (pow.f64 (cos.f64 a) 2))))
(pow.f64 (cos.f64 a) 2)
(*.f64 (pow.f64 (cos.f64 a) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 a) 2))))
(pow.f64 (cos.f64 a) 2)
(*.f64 1 (pow.f64 (cos.f64 a) 2))
(pow.f64 (cos.f64 a) 2)
(*.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (pow.f64 (cos.f64 a) 2))
(pow.f64 (cos.f64 a) 2)
(.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 a)) 2))
(pow.f64 (cos.f64 a) 2)
(.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 a)) 2) (/.f64 1 (pow.f64 (cos.f64 a) 2)))
(pow.f64 (cos.f64 a) 2)
(.f64 (.f64 (pow.f64 (cos.f64 a) 2) (/.f64 1 (pow.f64 (cos.f64 a) 2))) (pow.f64 (cos.f64 a) 2))
(pow.f64 (cos.f64 a) 2)
(.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 a) 2)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 a)) 2)) (.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 a)) 2) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 a)) 2)))
(pow.f64 (cos.f64 a) 2)
(.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (pow.f64 (cos.f64 a) 2)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 a)) 2))
(pow.f64 (cos.f64 a) 2)
(.f64 (/.f64 (.f64 (pow.f64 (cos.f64 a) 2) (/.f64 1 (pow.f64 (cos.f64 a) 2))) (pow.f64 (cos.f64 a) 2)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 a)) 2))
(pow.f64 (cos.f64 a) 2)
(/.f64 (pow.f64 (cos.f64 a) 2) 1)
(pow.f64 (cos.f64 a) 2)
(/.f64 (pow.f64 (cos.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 a) 2)))
(pow.f64 (cos.f64 a) 2)
(/.f64 (*.f64 2 (pow.f64 (cos.f64 a) 2)) 2)
(pow.f64 (cos.f64 a) 2)

eval692.0ms (4%)

Compiler: Compiled 17867 to 7862 computations (56% saved)

prune587.0ms (3.4%)

Pruning

39 alts after pruning (31 fresh and 8 done)

	Pruned	Kept	Total
New	527	8	535
Fresh	1	23	24
Picked	0	1	1
Done	1	7	8
Total	529	39	568

Error

0.1b

Counts

568 → 39

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	26.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 b))))
	26.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) (sin.f64 b))))
	15.7b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
✓	27.2b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	41.1b	(/.f64 (*.f64 r b) (cos.f64 b))
	29.6b	(/.f64 (*.f64 r b) (cos.f64 a))
	39.8b	(.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
	42.6b	(.f64 (sin.f64 b) (+.f64 r (.f64 b (*.f64 a r))))
▶	38.1b	(*.f64 (sin.f64 b) r)
	28.6b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (+.f64 (cos.f64 a) (.f64 (cos.f64 a) (.f64 (pow.f64 b 2) -1/2))) (.f64 (sin.f64 a) b))))
▶	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (.f64 (cos.f64 a) 2)) (+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))
✓	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	23.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a))))
✓	22.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b))))
▶	26.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))
	26.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a)))))
	28.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))))
	28.7b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 a)))))
	41.0b	(.f64 r (/.f64 (sin.f64 b) (+.f64 1 (.f64 b (neg.f64 a)))))
	15.8b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))))
	15.8b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
	26.5b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (pow.f64 (cos.f64 b) 2))))
	26.1b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (pow.f64 (cos.f64 a) 2))))
	16.1b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 b a) 2))) 2))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 (+.f64 b a))))))
	27.3b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 b)))))
▶	27.1b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))))
	27.3b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))))))
✓	27.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
▶	27.1b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
✓	29.6b	(*.f64 r (/.f64 b (cos.f64 a)))
✓	29.6b	(.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
	53.2b	(.f64 r (+.f64 (.f64 (/.f64 (/.f64 1 (/.f64 b (cos.f64 a))) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))))) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
	42.8b	(.f64 r (+.f64 (.f64 a (pow.f64 b 2)) b))
	41.6b	(.f64 r (+.f64 (.f64 1/3 (pow.f64 b 3)) b))
	42.4b	(.f64 r (.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b)))))))
	61.8b	(.f64 r (neg.f64 (/.f64 (sin.f64 b) (.f64 b (sin.f64 a)))))
✓	41.1b	(*.f64 r b)

Compiler

Compiled 1412 to 794 computations (43.8% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 112 to 31 computations (72.3% saved)

series114.0ms (0.7%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Expression
99.0ms	r	@	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (.f64 (cos.f64 a) 2)) (+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))
2.0ms	a	@	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (.f64 (cos.f64 a) 2)) (+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
1.0ms	b	@	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (.f64 (cos.f64 a) 2)) (+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
1.0ms	b	@	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (.f64 (cos.f64 a) 2)) (+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))
1.0ms	a	@	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (.f64 (cos.f64 a) 2)) (+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))

rewrite111.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1398×	`rational_best-2`
1398×	`rational_best-3`
1398×	`rational_best-1`
1396×	`rational_best-5`
1394×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	209
1	176	209
2	670	59
3	2970	59

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify256.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

890×	`rational_best-simplify-47`
786×	`rational_best-simplify-1`
590×	`rational_best-simplify-2`
582×	`rational_best-simplify-132`
564×	`rational_best-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	275	10295
1	552	9943
2	1095	9335
3	3041	9333
4	6448	9333

Stop Event

1×	node limit

Counts

129 → 145

Calls

Call 1

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

Outputs
(-.f64 (*.f64 2 (cos.f64 a)) (cos.f64 a))
(-.f64 (+.f64 (.f64 2 (cos.f64 a)) (.f64 -1 (*.f64 (sin.f64 a) b))) (cos.f64 a))
(-.f64 (+.f64 (.f64 2 (cos.f64 a)) (neg.f64 (.f64 (sin.f64 a) b))) (cos.f64 a))
(-.f64 (+.f64 (.f64 2 (cos.f64 a)) (.f64 (sin.f64 a) (neg.f64 b))) (cos.f64 a))
(-.f64 (+.f64 (.f64 2 (cos.f64 a)) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 (pow.f64 b 2) (-.f64 (.f64 -1 (cos.f64 a)) (.f64 -1/2 (cos.f64 a)))))) (cos.f64 a))
(-.f64 (+.f64 (.f64 2 (cos.f64 a)) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 (pow.f64 b 2) (-.f64 (.f64 (cos.f64 a) -1) (.f64 (cos.f64 a) -1/2))))) (cos.f64 a))
(-.f64 (+.f64 (neg.f64 (.f64 (sin.f64 a) b)) (+.f64 (.f64 (pow.f64 b 2) (.f64 (cos.f64 a) -1/2)) (.f64 2 (cos.f64 a)))) (cos.f64 a))
(-.f64 (+.f64 (.f64 2 (cos.f64 a)) (+.f64 (.f64 (sin.f64 a) (neg.f64 b)) (.f64 (pow.f64 b 2) (.f64 (cos.f64 a) -1/2)))) (cos.f64 a))
(-.f64 (+.f64 (.f64 (sin.f64 a) (neg.f64 b)) (+.f64 (.f64 2 (cos.f64 a)) (.f64 (pow.f64 b 2) (.f64 (cos.f64 a) -1/2)))) (cos.f64 a))
(-.f64 (+.f64 (.f64 2 (cos.f64 a)) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 (pow.f64 b 2) (-.f64 (.f64 -1 (cos.f64 a)) (.f64 -1/2 (cos.f64 a))))))) (cos.f64 a))
(-.f64 (+.f64 (.f64 2 (cos.f64 a)) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 (pow.f64 b 2) (-.f64 (.f64 (cos.f64 a) -1) (.f64 (cos.f64 a) -1/2))) (.f64 (sin.f64 a) (.f64 1/6 (pow.f64 b 3)))))) (cos.f64 a))
(-.f64 (+.f64 (.f64 (sin.f64 a) (+.f64 (.f64 -1 b) (.f64 1/6 (pow.f64 b 3)))) (+.f64 (.f64 (pow.f64 b 2) (.f64 (cos.f64 a) -1/2)) (.f64 2 (cos.f64 a)))) (cos.f64 a))
(-.f64 (+.f64 (.f64 2 (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 2) (.f64 (cos.f64 a) -1/2)) (.f64 (sin.f64 a) (+.f64 (*.f64 1/6 (pow.f64 b 3)) (neg.f64 b))))) (cos.f64 a))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (*.f64 2 (cos.f64 b)) (cos.f64 b))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (*.f64 2 (cos.f64 b))) (cos.f64 b))
(-.f64 (+.f64 (.f64 2 (cos.f64 b)) (.f64 -1 (*.f64 a (sin.f64 b)))) (cos.f64 b))
(-.f64 (+.f64 (.f64 2 (cos.f64 b)) (neg.f64 (.f64 a (sin.f64 b)))) (cos.f64 b))
(-.f64 (+.f64 (.f64 2 (cos.f64 b)) (.f64 (sin.f64 b) (neg.f64 a))) (cos.f64 b))
(-.f64 (+.f64 (.f64 2 (cos.f64 b)) (.f64 a (neg.f64 (sin.f64 b)))) (cos.f64 b))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 2 (cos.f64 b)) (.f64 (-.f64 (.f64 -1 (cos.f64 b)) (.f64 -1/2 (cos.f64 b))) (pow.f64 a 2)))) (cos.f64 b))
(-.f64 (+.f64 (.f64 -1 (.f64 a (sin.f64 b))) (+.f64 (.f64 2 (cos.f64 b)) (.f64 (-.f64 (.f64 -1 (cos.f64 b)) (.f64 -1/2 (cos.f64 b))) (pow.f64 a 2)))) (cos.f64 b))
(-.f64 (+.f64 (+.f64 (.f64 2 (cos.f64 b)) (neg.f64 (.f64 a (sin.f64 b)))) (.f64 (.f64 -1/2 (cos.f64 b)) (pow.f64 a 2))) (cos.f64 b))
(-.f64 (+.f64 (.f64 2 (cos.f64 b)) (+.f64 (.f64 (sin.f64 b) (neg.f64 a)) (.f64 (.f64 -1/2 (cos.f64 b)) (pow.f64 a 2)))) (cos.f64 b))
(-.f64 (+.f64 (.f64 2 (cos.f64 b)) (+.f64 (.f64 a (neg.f64 (sin.f64 b))) (.f64 (.f64 -1/2 (cos.f64 b)) (pow.f64 a 2)))) (cos.f64 b))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 2 (cos.f64 b)) (.f64 (-.f64 (.f64 -1 (cos.f64 b)) (.f64 -1/2 (cos.f64 b))) (pow.f64 a 2))))) (cos.f64 b))
(-.f64 (+.f64 (.f64 -1 (.f64 a (sin.f64 b))) (+.f64 (.f64 (-.f64 (.f64 -1 (cos.f64 b)) (.f64 -1/2 (cos.f64 b))) (pow.f64 a 2)) (+.f64 (.f64 2 (cos.f64 b)) (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3)))))) (cos.f64 b))
(-.f64 (+.f64 (+.f64 (.f64 2 (cos.f64 b)) (.f64 (.f64 -1/2 (cos.f64 b)) (pow.f64 a 2))) (.f64 (sin.f64 b) (+.f64 (.f64 a -1) (.f64 1/6 (pow.f64 a 3))))) (cos.f64 b))
(-.f64 (+.f64 (+.f64 (.f64 2 (cos.f64 b)) (.f64 (.f64 -1/2 (cos.f64 b)) (pow.f64 a 2))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (*.f64 1/6 (pow.f64 a 3))))) (cos.f64 b))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 2 (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 b (-.f64 (*.f64 2 (cos.f64 a)) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 2)) (/.f64 b (-.f64 (*.f64 2 (cos.f64 a)) (cos.f64 a))))
(+.f64 (/.f64 b (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a))) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (-.f64 (*.f64 2 (cos.f64 a)) (cos.f64 a)) 2)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 2)) (+.f64 (/.f64 b (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a))) (.f64 (-.f64 (.f64 -1/2 (/.f64 (cos.f64 a) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 3))) (+.f64 (.f64 1/6 (/.f64 1 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)))) (.f64 -1 (/.f64 (cos.f64 a) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 2)))))) (pow.f64 b 3))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 2)) (+.f64 (/.f64 b (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a))) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/2 (/.f64 (cos.f64 a) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 3))) (+.f64 (.f64 1/6 (/.f64 1 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)))) (.f64 -1 (/.f64 (cos.f64 a) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 2)))))))))
(+.f64 (/.f64 b (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a))) (+.f64 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 2)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/2 (/.f64 (cos.f64 a) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 2))) (+.f64 (.f64 1/6 (/.f64 1 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)))) (+.f64 (neg.f64 (/.f64 (cos.f64 a) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 2))) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 3)))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 2)) (+.f64 (/.f64 b (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a))) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/2 (/.f64 (cos.f64 a) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 2))) (+.f64 (.f64 1/6 (/.f64 1 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)))) (.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 3)) (/.f64 (cos.f64 a) (pow.f64 (-.f64 (*.f64 2 (cos.f64 a)) (cos.f64 a)) 2)))))))))
(+.f64 (+.f64 (/.f64 b (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a))) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 2))) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/2 (/.f64 (cos.f64 a) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 2))) (+.f64 (.f64 1/6 (/.f64 1 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)))) (.f64 -1 (+.f64 (/.f64 (cos.f64 a) (pow.f64 (-.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)) 2)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (-.f64 (*.f64 2 (cos.f64 a)) (cos.f64 a)) 3))))))))
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(*.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 0)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(+.f64 0 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(-.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 0)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series6.0ms (0%)

Counts

2 → 44

Calls

15 calls:

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

rewrite222.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`rational_best-simplify-57`
712×	`rational_best-5`
710×	`rational_best-4`
710×	`rational_best-2`
710×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	89	36
2	338	36
3	1455	36
4	6497	36

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

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

Outputs

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

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

simplify339.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1358×	`rational_best-simplify-2`
1168×	`rational_best-simplify-78`
900×	`rational_best-simplify-44`
898×	`rational_best-simplify-132`
576×	`rational_best-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	2229
1	316	2075
2	577	2013
3	1803	2013
4	3534	2013
5	6186	2013

Stop Event

1×	node limit

Counts

73 → 77

Calls

Call 1

Inputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))
(+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a)))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 r (pow.f64 b 7)) (cos.f64 a))) (+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (sin.f64 b) r)
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (.f64 (sin.f64 b) r))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (.f64 (sin.f64 b) r)))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))) (.f64 1/48 (.f64 (sin.f64 b) r)))) (pow.f64 a 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (*.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a))) (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a)))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a))) (*.f64 -1/5040 (/.f64 (pow.f64 b 7) (cos.f64 a))))))
(sin.f64 b)
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2))) (sin.f64 b))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2))) (+.f64 (sin.f64 b) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b)))))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2))) (+.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/48 (sin.f64 b)) (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b)))) (.f64 -1/720 (sin.f64 b)))))) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (sin.f64 b)) (*.f64 1/24 (sin.f64 b))))))))
(+.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) 0)
(+.f64 0 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))))
(-.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) 0)
(-.f64 0 (neg.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) 1)
(/.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (/.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (+.f64 r r)) 2)
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) 1)
(neg.f64 (neg.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 0)
(+.f64 0 (/.f64 (sin.f64 b) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 0)
(-.f64 0 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))))
(.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a)))))
(*.f64 1 (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))) (/.f64 (sin.f64 b) (cos.f64 a)))
(.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 a))) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 a))))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 a)))) (/.f64 (sin.f64 b) (cos.f64 a)))
(.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 a))) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a)))) (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a)))))
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))) (/.f64 (sin.f64 b) (cos.f64 a))) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 a)))) (/.f64 (sin.f64 b) (cos.f64 a))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a)))) (/.f64 (sin.f64 b) (cos.f64 a))) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1)
(neg.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 a))))

Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))
(+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))
(+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 r (pow.f64 b 3)) (cos.f64 a))) (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 1/120 (/.f64 (*.f64 r (pow.f64 b 5)) (cos.f64 a)))))
(+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (+.f64 (.f64 -1/6 (/.f64 (.f64 r (pow.f64 b 3)) (cos.f64 a))) (.f64 1/120 (/.f64 (*.f64 r (pow.f64 b 5)) (cos.f64 a)))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 r (pow.f64 b 7)) (cos.f64 a))) (+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))))
(+.f64 (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 -1/6 (/.f64 (.f64 r (pow.f64 b 3)) (cos.f64 a)))) (+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (.f64 -1/5040 (/.f64 (*.f64 r (pow.f64 b 7)) (cos.f64 a)))))
(+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 -1/6 (/.f64 (.f64 r (pow.f64 b 3)) (cos.f64 a)))) (.f64 -1/5040 (/.f64 (*.f64 r (pow.f64 b 7)) (cos.f64 a)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 r (pow.f64 b 3)) (cos.f64 a))) (+.f64 (.f64 -1/5040 (/.f64 (.f64 r (pow.f64 b 7)) (cos.f64 a))) (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 1/120 (/.f64 (*.f64 r (pow.f64 b 5)) (cos.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (sin.f64 b) r)
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (.f64 (sin.f64 b) r))
(+.f64 (.f64 (sin.f64 b) r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (sin.f64 b) r))))
(.f64 (sin.f64 b) (+.f64 (.f64 1/2 (*.f64 r (pow.f64 a 2))) r))
(.f64 (sin.f64 b) (+.f64 r (.f64 r (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (.f64 (sin.f64 b) r)))
(+.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 (sin.f64 b) (.f64 1/24 r)) (.f64 (sin.f64 b) (.f64 -1/4 r))))) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (sin.f64 b) r)))))
(+.f64 (neg.f64 (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) -5/24))) (.f64 (sin.f64 b) (+.f64 (.f64 1/2 (.f64 r (pow.f64 a 2))) r)))
(+.f64 (.f64 (sin.f64 b) (+.f64 r (.f64 r (.f64 1/2 (pow.f64 a 2))))) (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) 5/24)))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))) (.f64 1/48 (.f64 (sin.f64 b) r)))) (pow.f64 a 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (*.f64 (sin.f64 b) r))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (sin.f64 b) r))) (+.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 (sin.f64 b) (.f64 1/24 r)) (.f64 (sin.f64 b) (.f64 -1/4 r))))) (.f64 (+.f64 (.f64 (sin.f64 b) (.f64 -1/720 r)) (+.f64 (.f64 1/2 (+.f64 (.f64 (sin.f64 b) (.f64 1/24 r)) (.f64 (sin.f64 b) (.f64 -1/4 r)))) (.f64 (sin.f64 b) (.f64 1/48 r)))) (*.f64 -1 (pow.f64 a 6))))))
(+.f64 (.f64 -1 (+.f64 (.f64 (+.f64 (.f64 (sin.f64 b) (.f64 r -1/720)) (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 b) r) -5/24)) (.f64 (sin.f64 b) (.f64 r 1/48)))) (pow.f64 a 6)) (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) -5/24)))) (.f64 (sin.f64 b) (+.f64 (.f64 1/2 (*.f64 r (pow.f64 a 2))) r)))
(+.f64 (+.f64 (.f64 (sin.f64 b) (+.f64 r (.f64 r (.f64 1/2 (pow.f64 a 2))))) (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) 5/24))) (.f64 (+.f64 (.f64 (.f64 (sin.f64 b) r) -5/48) (.f64 r (*.f64 (sin.f64 b) 7/360))) (neg.f64 (pow.f64 a 6))))
(+.f64 (.f64 (sin.f64 b) (+.f64 r (.f64 r (.f64 1/2 (pow.f64 a 2))))) (+.f64 (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) 5/24)) (.f64 (+.f64 (.f64 (.f64 (sin.f64 b) r) -5/48) (.f64 r (*.f64 (sin.f64 b) 7/360))) (neg.f64 (pow.f64 a 6)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (*.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a))) (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a)))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a))) (.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a)))))
(+.f64 (+.f64 (/.f64 b (cos.f64 a)) (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a)))) (.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a))) (*.f64 -1/5040 (/.f64 (pow.f64 b 7) (cos.f64 a))))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a))) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 b 7) (cos.f64 a))) (*.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a))))))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a))) (+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a))) (*.f64 -1/5040 (/.f64 (pow.f64 b 7) (cos.f64 a))))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 b 3) (cos.f64 a))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 b 5) (cos.f64 a))) (*.f64 -1/5040 (/.f64 (pow.f64 b 7) (cos.f64 a))))))
(sin.f64 b)
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2))) (sin.f64 b))
(+.f64 (sin.f64 b) (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2))))
(+.f64 (sin.f64 b) (.f64 (sin.f64 b) (.f64 1/2 (pow.f64 a 2))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2))) (+.f64 (sin.f64 b) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b)))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 (sin.f64 b) -1/4) (.f64 (sin.f64 b) 1/24)))) (+.f64 (sin.f64 b) (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2)))))
(+.f64 (sin.f64 b) (+.f64 (neg.f64 (.f64 (pow.f64 a 4) (.f64 (sin.f64 b) -5/24))) (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2)))))
(+.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 b) (.f64 1/2 (pow.f64 a 2))) (.f64 (pow.f64 a 4) (.f64 (sin.f64 b) 5/24))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2))) (+.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/48 (sin.f64 b)) (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (sin.f64 b)) (.f64 1/24 (sin.f64 b)))) (.f64 -1/720 (sin.f64 b)))))) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (sin.f64 b)) (*.f64 1/24 (sin.f64 b))))))))
(+.f64 (.f64 -1 (+.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (sin.f64 b) -1/4) (.f64 (sin.f64 b) 1/24))) (.f64 (pow.f64 a 6) (+.f64 (.f64 (sin.f64 b) 1/48) (+.f64 (.f64 1/2 (+.f64 (.f64 (sin.f64 b) -1/4) (.f64 (sin.f64 b) 1/24))) (.f64 (sin.f64 b) -1/720)))))) (+.f64 (sin.f64 b) (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2)))))
(+.f64 (sin.f64 b) (+.f64 (.f64 -1 (+.f64 (.f64 (pow.f64 a 4) (.f64 (sin.f64 b) -5/24)) (.f64 (pow.f64 a 6) (+.f64 (.f64 (sin.f64 b) 1/48) (+.f64 (.f64 1/2 (.f64 (sin.f64 b) -5/24)) (.f64 (sin.f64 b) -1/720)))))) (.f64 1/2 (.f64 (sin.f64 b) (pow.f64 a 2)))))
(+.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 b) (.f64 1/2 (pow.f64 a 2))) (+.f64 (.f64 (pow.f64 a 4) (.f64 (sin.f64 b) 5/24)) (.f64 (+.f64 (.f64 (sin.f64 b) -5/48) (*.f64 (sin.f64 b) 7/360)) (neg.f64 (pow.f64 a 6))))))
(+.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) 0)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(+.f64 0 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(-.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) 0)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(-.f64 0 (neg.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (/.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (+.f64 r r)) 2)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(pow.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) 1)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(neg.f64 (neg.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 0)
(/.f64 (sin.f64 b) (cos.f64 a))
(+.f64 0 (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (cos.f64 a))
(-.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 0)
(/.f64 (sin.f64 b) (cos.f64 a))
(-.f64 0 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 a))))
(/.f64 (sin.f64 b) (cos.f64 a))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1)
(/.f64 (sin.f64 b) (cos.f64 a))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))))
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 a)))))
(/.f64 (sin.f64 b) (cos.f64 a))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a)))))
(/.f64 (sin.f64 b) (cos.f64 a))
(*.f64 1 (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (cos.f64 a))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))) (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 a))) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))))
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 a))))
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 a)))) (/.f64 (sin.f64 b) (cos.f64 a)))
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))))))
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 a))) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a)))) (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a)))))
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))) (/.f64 (sin.f64 b) (cos.f64 a))) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))))
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 a)))) (/.f64 (sin.f64 b) (cos.f64 a))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))))
(/.f64 (sin.f64 b) (cos.f64 a))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a)))) (/.f64 (sin.f64 b) (cos.f64 a))) (.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 a))))
(/.f64 (sin.f64 b) (cos.f64 a))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) 1)
(/.f64 (sin.f64 b) (cos.f64 a))
(neg.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 a))))
(/.f64 (sin.f64 b) (cos.f64 a))

localize16.0ms (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)))
✓	0.1b	(.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)

series21.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
14.0ms	b	@	-inf	(.f64 r (/.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)))))
1.0ms	b	@	inf	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`rational_best-5`
1100×	`rational_best-4`
1100×	`rational_best-2`
1100×	`rational_best-3`
1100×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	101
1	122	101
2	500	101
3	2237	101

Stop Event

1×	node limit

Counts

3 → 48

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

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

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

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

simplify460.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1200×	`rational_best-simplify-2`
868×	`rational_best-simplify-1`
676×	`rational_best-simplify-132`
628×	`rational_best-simplify-44`
494×	`rational_best-simplify-43`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	223	5330
1	478	5226
2	870	5166
3	2061	5154
4	3798	5136
5	6377	5132

Stop Event

1×	node limit

Counts

132 → 147

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 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) 0)
(+.f64 0 (/.f64 (sin.f64 b) (-.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)))) 0)
(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) 1)
(.f64 (/.f64 (sin.f64 b) (-.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)))) (/.f64 (sin.f64 b) (-.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)))) (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 1 (/.f64 (sin.f64 b) (-.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)))) (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))))
(.f64 1 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (/.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (/.f64 1 (/.f64 (sin.f64 b) (-.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)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (-.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)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))) (.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (sin.f64 b) (-.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)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))))
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 (sin.f64 b) (-.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)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))) (/.f64 (sin.f64 b) (-.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)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))))
(pow.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) 1)
(+.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r) 0)
(+.f64 0 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r))
(-.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r) 0)
(/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r) 1)
(/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r) (/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r) (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r)))
(/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (+.f64 r r)) 2)
(pow.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r) 1)
(+.f64 (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) 0)
(+.f64 0 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 b))
(+.f64 (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (-.f64 0 (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) 1)
(.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (/.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (/.f64 1 (/.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 1 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(.f64 (/.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) -1)
(.f64 (/.f64 1 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b))))
(.f64 (.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b))) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (/.f64 1 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))
(.f64 (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)))) (.f64 (.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b))) (.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)))))
(.f64 (/.f64 (/.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b))))
(.f64 (/.f64 (.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (/.f64 1 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b))))
(/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) 1)
(/.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (/.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) -1)
(/.f64 (.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) 2) 2)
(/.f64 (.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) 2) -2)
(pow.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) 1)
(neg.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)))

Outputs
b
(+.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) b)
(+.f64 b (*.f64 (sin.f64 a) (pow.f64 b 2)))
(+.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 b (.f64 (sin.f64 a) (pow.f64 b 2))) (.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 (pow.f64 b 3) (-.f64 1/3 (neg.f64 (pow.f64 (sin.f64 a) 2))))))
(+.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (+.f64 b (.f64 (pow.f64 b 3) (+.f64 (pow.f64 (sin.f64 a) 2) 1/3))))
(+.f64 b (+.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (.f64 (pow.f64 b 3) (+.f64 1/3 (pow.f64 (sin.f64 a) 2)))))
(+.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 (.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 (sin.f64 a) -1/2) (.f64 (sin.f64 a) 1/6))))))))
(+.f64 (+.f64 b (.f64 (sin.f64 a) (pow.f64 b 2))) (+.f64 (neg.f64 (.f64 (pow.f64 b 4) (+.f64 (neg.f64 (.f64 (sin.f64 a) (-.f64 1/3 (neg.f64 (pow.f64 (sin.f64 a) 2))))) (.f64 (sin.f64 a) -1/3)))) (*.f64 (pow.f64 b 3) (-.f64 1/3 (neg.f64 (pow.f64 (sin.f64 a) 2))))))
(+.f64 b (+.f64 (.f64 (pow.f64 b 4) (neg.f64 (.f64 (sin.f64 a) (+.f64 -1/3 (neg.f64 (-.f64 1/3 (neg.f64 (pow.f64 (sin.f64 a) 2)))))))) (+.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (.f64 (pow.f64 b 3) (-.f64 1/3 (neg.f64 (pow.f64 (sin.f64 a) 2)))))))
(+.f64 b (+.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (+.f64 (.f64 (pow.f64 b 3) (+.f64 (pow.f64 (sin.f64 a) 2) 1/3)) (.f64 (.f64 (sin.f64 a) (+.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 a) 2) 1/3)) -1/3)) (neg.f64 (pow.f64 b 4))))))
(+.f64 b (+.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (+.f64 (.f64 (pow.f64 b 3) (+.f64 1/3 (pow.f64 (sin.f64 a) 2))) (.f64 (.f64 (sin.f64 a) (+.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) -1/3) -1/3)) (neg.f64 (pow.f64 b 4))))))
(+.f64 b (+.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (+.f64 (.f64 (pow.f64 b 3) (+.f64 1/3 (pow.f64 (sin.f64 a) 2))) (.f64 (.f64 (sin.f64 a) (+.f64 (-.f64 -1/3 (pow.f64 (sin.f64 a) 2)) -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) (-.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 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) 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))))
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(+.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 a (sin.f64 b))) (+.f64 (cos.f64 b) (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3)))))
(+.f64 (cos.f64 b) (.f64 (sin.f64 b) (+.f64 (.f64 a -1) (*.f64 1/6 (pow.f64 a 3)))))
(+.f64 (cos.f64 b) (.f64 (sin.f64 b) (+.f64 (.f64 1/6 (pow.f64 a 3)) (neg.f64 a))))
(+.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 (.f64 -1 (.f64 a (sin.f64 b))) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (.f64 -1/120 (pow.f64 a 5))))))
(+.f64 (neg.f64 (.f64 a (sin.f64 b))) (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (+.f64 (.f64 1/6 (pow.f64 a 3)) (.f64 -1/120 (pow.f64 a 5))))))
(+.f64 (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (.f64 -1/120 (pow.f64 a 5)))) (.f64 (sin.f64 b) (+.f64 (.f64 1/6 (pow.f64 a 3)) (neg.f64 a))))
(+.f64 (cos.f64 b) (+.f64 (.f64 (sin.f64 b) (.f64 -1/120 (pow.f64 a 5))) (.f64 (sin.f64 b) (+.f64 (.f64 1/6 (pow.f64 a 3)) (neg.f64 a)))))
(+.f64 (+.f64 (cos.f64 b) (.f64 a (neg.f64 (sin.f64 b)))) (.f64 (sin.f64 b) (+.f64 (.f64 1/6 (pow.f64 a 3)) (.f64 -1/120 (pow.f64 a 5)))))
(-.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 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) 0)
(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(+.f64 0 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) 0)
(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) 1)
(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (/.f64 (sin.f64 b) (-.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)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (/.f64 (sin.f64 b) (-.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)))) (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 1 (/.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 1 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (/.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (/.f64 1 (/.f64 (sin.f64 b) (-.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)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (-.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)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))) (.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (sin.f64 b) (-.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)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 (sin.f64 b) (-.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)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 1 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))) (/.f64 (sin.f64 b) (-.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)))) (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(pow.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) 1)
(/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(+.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r) 0)
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))))
(+.f64 0 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))))
(-.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r) 0)
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r) 1)
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r) (/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r) (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r)))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (+.f64 r r)) 2)
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))))
(pow.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r) 1)
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))))
(+.f64 (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) 0)
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 0 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (+.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (-.f64 0 (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(+.f64 (+.f64 (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 b))) (neg.f64 (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (+.f64 (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (*.f64 2 (sin.f64 b))))))
(+.f64 (cos.f64 b) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (neg.f64 (.f64 (sin.f64 a) (*.f64 2 (sin.f64 b))))))
(.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) 1)
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (/.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (/.f64 1 (/.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 1 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 (/.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) -1)
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 (/.f64 1 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 (.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b))) (/.f64 1 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 (.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (/.f64 1 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 (/.f64 (/.f64 1 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)))) (.f64 (.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b))) (.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 (/.f64 (/.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(.f64 (/.f64 (.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (/.f64 1 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) 1)
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(/.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (/.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(/.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) -1)
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(/.f64 (.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))) 2) 2)
(/.f64 (.f64 2 (-.f64 (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))) 2)
(/.f64 (.f64 2 (-.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 b))) -2)
(/.f64 (.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)) 2) -2)
(/.f64 (.f64 2 (-.f64 (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))) 2)
(/.f64 (.f64 2 (-.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 b))) -2)
(pow.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) 1)
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 b)))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))))
✓	0.2b	(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a))
✓	0.3b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))
	2.5b	(cos.f64 (+.f64 b a))

Compiler

Compiled 81 to 23 computations (71.6% saved)

series3.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`rational_best-5`
1292×	`rational_best-4`
1292×	`rational_best-2`
1292×	`rational_best-3`
1292×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	123
1	150	111
2	598	111
3	2623	111

Stop Event

1×	node limit

Counts

3 → 23

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) 1)))))

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

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

simplify373.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1104×	`rational_best-simplify-132`
1028×	`rational_best-simplify-47`
894×	`rational_best-simplify-80`
798×	`rational_best-simplify-78`
684×	`rational_best-simplify-54`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	167	3029
1	360	2889
2	706	2845
3	1366	2803
4	3599	2783
5	7396	2783

Stop Event

1×	node limit

Counts

107 → 97

Calls

Call 1

Inputs
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (.f64 1/24 (pow.f64 a 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (+.f64 (.f64 -1/720 (pow.f64 a 6)) (*.f64 1/24 (pow.f64 a 4)))))
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(pow.f64 (cos.f64 a) 2)
(+.f64 (pow.f64 (cos.f64 a) 2) (.f64 -1 (.f64 (sin.f64 a) (*.f64 (cos.f64 a) b))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 2))) (.f64 -1 (.f64 (sin.f64 a) (*.f64 (cos.f64 a) b)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 a) (.f64 (cos.f64 a) (pow.f64 b 3)))) (+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 2))) (.f64 -1 (.f64 (sin.f64 a) (.f64 (cos.f64 a) b))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(.f64 (cos.f64 (-.f64 a (.f64 -1 b))) (cos.f64 a))
(.f64 (cos.f64 (-.f64 a (.f64 -1 b))) (cos.f64 a))
(.f64 (cos.f64 (-.f64 a (.f64 -1 b))) (cos.f64 a))
(.f64 (cos.f64 (-.f64 a (.f64 -1 b))) (cos.f64 a))
(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 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (cos.f64 b) (.f64 (+.f64 (.f64 1/2 (sin.f64 b)) (*.f64 1/6 (sin.f64 b))) (pow.f64 a 3)))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(.f64 (cos.f64 (-.f64 b (.f64 -1 a))) (cos.f64 a))
(.f64 (cos.f64 (-.f64 b (.f64 -1 a))) (cos.f64 a))
(.f64 (cos.f64 (-.f64 b (.f64 -1 a))) (cos.f64 a))
(.f64 (cos.f64 (-.f64 b (.f64 -1 a))) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))
(+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a)))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 r (pow.f64 b 7)) (cos.f64 a))) (+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (sin.f64 b) r)
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (.f64 (sin.f64 b) r))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (.f64 (sin.f64 b) r)))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))) (.f64 1/48 (.f64 (sin.f64 b) r)))) (pow.f64 a 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) 0)
(+.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) 0)
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) 1)
(/.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) (/.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a))))))
(/.f64 (.f64 (cos.f64 (+.f64 b a)) (.f64 (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a))) 2)) 2)
(pow.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) 1)
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) 0)
(+.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) 0)
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) 1)
(/.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) (/.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a))))
(/.f64 (+.f64 (cos.f64 (+.f64 a (+.f64 b a))) (cos.f64 b)) 2)
(/.f64 (.f64 (cos.f64 a) (.f64 (cos.f64 (+.f64 b a)) 2)) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 a (+.f64 b a))) (cos.f64 (neg.f64 b))) 2)
(pow.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) 1)
(+.f64 (.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))))) 0)
(+.f64 0 (.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))))))
(-.f64 (.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))))) 0)
(/.f64 (.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))))) 1)
(/.f64 (.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))))) (/.f64 (.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))))) (.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a))))))))
(/.f64 (.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a))))) 2)) 2)
(pow.f64 (.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))))) 1)

Outputs
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 a 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (.f64 1/24 (pow.f64 a 4))))
(+.f64 (.f64 -1/2 (pow.f64 a 2)) (+.f64 1 (.f64 1/24 (pow.f64 a 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (+.f64 (.f64 -1/720 (pow.f64 a 6)) (*.f64 1/24 (pow.f64 a 4)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (+.f64 (.f64 1/24 (pow.f64 a 4)) (*.f64 -1/720 (pow.f64 a 6)))))
(+.f64 (.f64 -1/2 (pow.f64 a 2)) (+.f64 (.f64 1/24 (pow.f64 a 4)) (+.f64 (*.f64 -1/720 (pow.f64 a 6)) 1)))
(+.f64 (+.f64 1 (.f64 -1/2 (pow.f64 a 2))) (+.f64 (.f64 1/24 (pow.f64 a 4)) (*.f64 -1/720 (pow.f64 a 6))))
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(cos.f64 a)
(pow.f64 (cos.f64 a) 2)
(+.f64 (pow.f64 (cos.f64 a) 2) (.f64 -1 (.f64 (sin.f64 a) (*.f64 (cos.f64 a) b))))
(+.f64 (pow.f64 (cos.f64 a) 2) (.f64 (sin.f64 a) (.f64 (cos.f64 a) (neg.f64 b))))
(+.f64 (pow.f64 (cos.f64 a) 2) (.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b))))
(+.f64 (pow.f64 (cos.f64 a) 2) (.f64 (sin.f64 a) (neg.f64 (.f64 (cos.f64 a) b))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 2))) (.f64 -1 (.f64 (sin.f64 a) (*.f64 (cos.f64 a) b)))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (.f64 (cos.f64 a) b))) (.f64 -1/2 (pow.f64 (*.f64 (cos.f64 a) b) 2))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 (sin.f64 a) (.f64 (cos.f64 a) (neg.f64 b))) (.f64 -1/2 (pow.f64 (.f64 (cos.f64 a) b) 2))))
(+.f64 (+.f64 (pow.f64 (cos.f64 a) 2) (.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b)))) (.f64 -1/2 (pow.f64 (.f64 (cos.f64 a) b) 2)))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 (sin.f64 a) (neg.f64 (.f64 (cos.f64 a) b))) (.f64 -1/2 (pow.f64 (.f64 (cos.f64 a) b) 2))))
(+.f64 (.f64 (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 b))) (+.f64 (pow.f64 (cos.f64 a) 2) (.f64 -1/2 (pow.f64 (.f64 (cos.f64 a) b) 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 a) (.f64 (cos.f64 a) (pow.f64 b 3)))) (+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 b 2))) (.f64 -1 (.f64 (sin.f64 a) (.f64 (cos.f64 a) b))))))
(+.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 a) (.f64 (cos.f64 a) b))) (.f64 -1/2 (pow.f64 (.f64 (cos.f64 a) b) 2))) (+.f64 (pow.f64 (cos.f64 a) 2) (.f64 (sin.f64 a) (.f64 1/6 (.f64 (cos.f64 a) (pow.f64 b 3))))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (+.f64 (.f64 (sin.f64 a) (.f64 (cos.f64 a) (neg.f64 b))) (.f64 -1/2 (pow.f64 (.f64 (cos.f64 a) b) 2))) (.f64 1/6 (.f64 (sin.f64 a) (*.f64 (cos.f64 a) (pow.f64 b 3))))))
(+.f64 (+.f64 (pow.f64 (cos.f64 a) 2) (.f64 -1/2 (pow.f64 (.f64 (cos.f64 a) b) 2))) (.f64 (cos.f64 a) (+.f64 (.f64 (sin.f64 a) (.f64 1/6 (pow.f64 b 3))) (.f64 (sin.f64 a) (neg.f64 b)))))
(+.f64 (+.f64 (pow.f64 (cos.f64 a) 2) (.f64 -1/2 (pow.f64 (.f64 (cos.f64 a) b) 2))) (.f64 (cos.f64 a) (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3))))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(.f64 (cos.f64 (-.f64 a (.f64 -1 b))) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(.f64 (cos.f64 (-.f64 a (.f64 -1 b))) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(.f64 (cos.f64 (-.f64 a (.f64 -1 b))) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(.f64 (cos.f64 (-.f64 a (.f64 -1 b))) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(cos.f64 b)
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (cos.f64 b) (.f64 (sin.f64 b) (.f64 a -1)))
(+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))
(+.f64 (cos.f64 b) (*.f64 a (neg.f64 (sin.f64 b))))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (cos.f64 b) (+.f64 (.f64 (pow.f64 a 2) (.f64 -1 (cos.f64 b))) (.f64 (sin.f64 b) (.f64 a -1))))
(+.f64 (cos.f64 b) (.f64 -1 (+.f64 (.f64 a (sin.f64 b)) (*.f64 (pow.f64 a 2) (cos.f64 b)))))
(+.f64 (cos.f64 b) (neg.f64 (+.f64 (.f64 a (sin.f64 b)) (.f64 (pow.f64 a 2) (cos.f64 b)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (cos.f64 b) (.f64 (+.f64 (.f64 1/2 (sin.f64 b)) (*.f64 1/6 (sin.f64 b))) (pow.f64 a 3)))))
(+.f64 (.f64 (sin.f64 b) (.f64 a -1)) (+.f64 (.f64 (+.f64 (.f64 (sin.f64 b) 1/2) (.f64 1/6 (sin.f64 b))) (pow.f64 a 3)) (+.f64 (cos.f64 b) (.f64 (pow.f64 a 2) (*.f64 -1 (cos.f64 b))))))
(+.f64 (+.f64 (cos.f64 b) (.f64 (.f64 (sin.f64 b) 2/3) (pow.f64 a 3))) (.f64 -1 (+.f64 (.f64 a (sin.f64 b)) (*.f64 (pow.f64 a 2) (cos.f64 b)))))
(+.f64 (cos.f64 b) (+.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 a 3) 2/3)) (.f64 -1 (+.f64 (.f64 a (sin.f64 b)) (*.f64 (pow.f64 a 2) (cos.f64 b))))))
(+.f64 (cos.f64 b) (+.f64 (.f64 (pow.f64 a 2) (neg.f64 (cos.f64 b))) (.f64 (sin.f64 b) (+.f64 (*.f64 (pow.f64 a 3) 2/3) (neg.f64 a)))))
(+.f64 (cos.f64 b) (+.f64 (.f64 (pow.f64 a 2) (neg.f64 (cos.f64 b))) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (*.f64 (pow.f64 a 3) 2/3)))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(.f64 (cos.f64 (-.f64 b (.f64 -1 a))) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(.f64 (cos.f64 (-.f64 b (.f64 -1 a))) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(.f64 (cos.f64 (-.f64 b (.f64 -1 a))) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(.f64 (cos.f64 (-.f64 b (.f64 -1 a))) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))
(+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 (pow.f64 b 3) r) (cos.f64 a))))
(+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a)))))
(+.f64 (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 -1/6 (/.f64 (.f64 (pow.f64 b 3) r) (cos.f64 a)))) (.f64 1/120 (/.f64 (*.f64 r (pow.f64 b 5)) (cos.f64 a))))
(+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 b 3) r) (cos.f64 a))) (.f64 1/120 (/.f64 (*.f64 r (pow.f64 b 5)) (cos.f64 a)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 b 3) r) (cos.f64 a))) (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 1/120 (/.f64 (*.f64 r (pow.f64 b 5)) (cos.f64 a)))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 r (pow.f64 b 7)) (cos.f64 a))) (+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 -1/6 (/.f64 (*.f64 r (pow.f64 b 3)) (cos.f64 a))))))
(+.f64 (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 -1/6 (/.f64 (.f64 (pow.f64 b 3) r) (cos.f64 a)))) (+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (.f64 -1/5040 (/.f64 (*.f64 r (pow.f64 b 7)) (cos.f64 a)))))
(+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 b 3) r) (cos.f64 a))) (+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (.f64 -1/5040 (/.f64 (*.f64 r (pow.f64 b 7)) (cos.f64 a))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 b 3) r) (cos.f64 a))) (+.f64 (.f64 1/120 (/.f64 (.f64 r (pow.f64 b 5)) (cos.f64 a))) (+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (.f64 -1/5040 (/.f64 (*.f64 r (pow.f64 b 7)) (cos.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (sin.f64 b) r)
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (.f64 (sin.f64 b) r))
(+.f64 (.f64 (sin.f64 b) r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (sin.f64 b) r))))
(.f64 (sin.f64 b) (+.f64 (.f64 (pow.f64 a 2) (*.f64 1/2 r)) r))
(.f64 (sin.f64 b) (+.f64 r (.f64 (pow.f64 a 2) (*.f64 1/2 r))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (.f64 (sin.f64 b) r)))
(+.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (pow.f64 a 4) (.f64 -1 (+.f64 (.f64 (sin.f64 b) (.f64 1/24 r)) (.f64 (sin.f64 b) (.f64 -1/4 r))))) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (sin.f64 b) r)))))
(+.f64 (neg.f64 (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) -5/24))) (.f64 (sin.f64 b) (+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 r)) r)))
(+.f64 (.f64 (sin.f64 b) (+.f64 r (.f64 (pow.f64 a 2) (.f64 1/2 r)))) (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) 5/24)))
(.f64 (sin.f64 b) (+.f64 (.f64 (pow.f64 a 4) (.f64 r 5/24)) (+.f64 r (.f64 (pow.f64 a 2) (*.f64 1/2 r)))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (.f64 (sin.f64 b) r)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r)))) (.f64 1/48 (.f64 (sin.f64 b) r)))) (pow.f64 a 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 (.f64 (sin.f64 b) r)) (.f64 -1/4 (.f64 (sin.f64 b) r))))) (*.f64 (sin.f64 b) r))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (sin.f64 b) r))) (+.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (pow.f64 a 4) (.f64 -1 (+.f64 (.f64 (sin.f64 b) (.f64 1/24 r)) (.f64 (sin.f64 b) (.f64 -1/4 r))))) (.f64 (+.f64 (.f64 (sin.f64 b) (.f64 1/48 r)) (+.f64 (.f64 1/2 (+.f64 (.f64 (sin.f64 b) (.f64 1/24 r)) (.f64 (sin.f64 b) (.f64 -1/4 r)))) (.f64 -1/720 (.f64 (sin.f64 b) r)))) (*.f64 -1 (pow.f64 a 6))))))
(+.f64 (.f64 -1 (+.f64 (.f64 (pow.f64 a 6) (+.f64 (.f64 (sin.f64 b) (.f64 r 1/48)) (+.f64 (.f64 -1/720 (.f64 (sin.f64 b) r)) (.f64 1/2 (.f64 (.f64 (sin.f64 b) r) -5/24))))) (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) -5/24)))) (.f64 (sin.f64 b) (+.f64 (.f64 (pow.f64 a 2) (*.f64 1/2 r)) r)))
(+.f64 (+.f64 (.f64 (sin.f64 b) (+.f64 r (.f64 (pow.f64 a 2) (.f64 1/2 r)))) (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) 5/24))) (.f64 (+.f64 (.f64 (.f64 (sin.f64 b) r) -5/48) (.f64 (*.f64 (sin.f64 b) r) 7/360)) (neg.f64 (pow.f64 a 6))))
(+.f64 (.f64 (sin.f64 b) (+.f64 r (.f64 (pow.f64 a 2) (.f64 1/2 r)))) (+.f64 (.f64 (pow.f64 a 4) (.f64 (.f64 (sin.f64 b) r) 5/24)) (.f64 (pow.f64 a 6) (neg.f64 (.f64 (*.f64 (sin.f64 b) r) -61/720)))))
(+.f64 (.f64 (sin.f64 b) (+.f64 (.f64 (pow.f64 a 4) (.f64 r 5/24)) (+.f64 r (.f64 (pow.f64 a 2) (.f64 1/2 r))))) (.f64 (pow.f64 a 6) (neg.f64 (.f64 (sin.f64 b) (.f64 r -61/720)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) 0)
(*.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 a b))))
(+.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))))
(*.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 a b))))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) 0)
(*.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) 1)
(*.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) (/.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a))))))
(*.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 (cos.f64 (+.f64 b a)) (.f64 (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a))) 2)) 2)
(*.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 a b))))
(pow.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) 1)
(*.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) 0)
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(+.f64 0 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) 0)
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) 1)
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) (/.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a))))
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(/.f64 (+.f64 (cos.f64 (+.f64 a (+.f64 b a))) (cos.f64 b)) 2)
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (cos.f64 a) (.f64 (cos.f64 (+.f64 b a)) 2)) 2)
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(/.f64 (+.f64 (cos.f64 (+.f64 a (+.f64 b a))) (cos.f64 (neg.f64 b))) 2)
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(pow.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) 1)
(*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))
(+.f64 (.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))))) 0)
(.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 a b))))))
(+.f64 0 (.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))))))
(.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 a b))))))
(-.f64 (.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))))) 0)
(.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 a b))))))
(/.f64 (.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))))) 1)
(.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 a b))))))
(/.f64 (.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))))) (/.f64 (.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))))) (.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a))))))))
(.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 a b))))))
(/.f64 (.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a))))) 2)) 2)
(.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 a b))))))
(pow.f64 (.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))))) 1)
(.f64 r (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (/.f64 (cos.f64 a) (cos.f64 (+.f64 a b))))))

eval798.0ms (4.6%)

Compiler: Compiled 22953 to 10417 computations (54.6% saved)

prune454.0ms (2.6%)

Pruning

46 alts after pruning (34 fresh and 12 done)

	Pruned	Kept	Total
New	688	13	701
Fresh	5	21	26
Picked	1	0	1
Done	0	12	12
Total	694	46	740

Error

0.1b

Counts

740 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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))))
	26.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 b))))
	26.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) (sin.f64 b))))
	15.7b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
✓	27.2b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	27.1b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
	41.1b	(/.f64 (*.f64 r b) (cos.f64 b))
	29.6b	(/.f64 (*.f64 r b) (cos.f64 a))
	39.8b	(.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
	42.6b	(.f64 (sin.f64 b) (+.f64 r (.f64 b (*.f64 a r))))
✓	38.1b	(*.f64 (sin.f64 b) r)
	28.6b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (+.f64 (cos.f64 a) (.f64 (cos.f64 a) (.f64 (pow.f64 b 2) -1/2))) (.f64 (sin.f64 a) b))))
✓	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (.f64 (cos.f64 a) 2)) (+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))
✓	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	23.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a))))
✓	22.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b))))
✓	26.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))))
	28.7b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a))))
	26.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a)))))
	28.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))))
	0.5b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (+.f64 (.f64 (.f64 2 (cos.f64 a)) (cos.f64 b)) (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))) (neg.f64 (.f64 2 (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))))))
	0.6b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 b) (+.f64 (.f64 2 (cos.f64 a)) (cos.f64 a)))) (neg.f64 (.f64 2 (+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))))))
	40.3b	(.f64 r (/.f64 (sin.f64 b) (+.f64 1 (.f64 (sin.f64 a) (neg.f64 b)))))
	41.0b	(.f64 r (/.f64 (sin.f64 b) (+.f64 1 (.f64 b (neg.f64 a)))))
	15.9b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))) (.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (+.f64 b a)))))))
	27.1b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (.f64 (.f64 (cos.f64 (+.f64 b a)) (/.f64 1 (cos.f64 (+.f64 b a)))) (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))))
	26.5b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (pow.f64 (cos.f64 b) 2))))
	26.1b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (pow.f64 (cos.f64 a) 2))))
	26.7b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (cos.f64 (+.f64 a (+.f64 b a))) (cos.f64 b)) 2))))
	16.1b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 b a) 2))) 2))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 (+.f64 b a))))))
	19.0b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 a)))))
	38.4b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
	36.8b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (cos.f64 b))))
	38.5b	(.f64 r (/.f64 (sin.f64 b) (.f64 (/.f64 1 (cos.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)))))
✓	27.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
✓	27.1b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
✓	29.6b	(*.f64 r (/.f64 b (cos.f64 a)))
✓	29.6b	(.f64 r (+.f64 (/.f64 b (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
	53.2b	(.f64 r (+.f64 (.f64 (/.f64 (/.f64 1 (/.f64 b (cos.f64 a))) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (.f64 (/.f64 b (cos.f64 a)) (/.f64 b (cos.f64 a)))))) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
	42.8b	(.f64 r (+.f64 (.f64 a (pow.f64 b 2)) b))
	41.6b	(.f64 r (+.f64 (.f64 1/3 (pow.f64 b 3)) b))
	42.4b	(.f64 r (.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b)))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b)))))))
	61.8b	(.f64 r (neg.f64 (/.f64 (sin.f64 b) (.f64 b (sin.f64 a)))))
✓	41.1b	(*.f64 r b)

Compiler

Compiled 938 to 544 computations (42% saved)

regimes170.0ms (1%)

Counts

60 → 1

Calls

Call 1

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

44.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
28.0ms	b
27.0ms	a
26.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
26.0ms	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 1104 to 346 computations (68.7% saved)

regimes248.0ms (1.4%)

Counts

42 → 1

Calls

Call 1

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

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:

126.0ms	b
55.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
19.0ms	a
18.0ms	r
17.0ms	(*.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 556 to 202 computations (63.7% saved)

regimes334.0ms (1.9%)

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

253.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
19.0ms	a
17.0ms	r
17.0ms	b
16.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

Error	Segments	Branch
15.7b	1	`r`
15.7b	1	`a`
15.7b	1	`b`
15.7b	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
14.3b	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 540 to 199 computations (63.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.03584725248388177	0.059729556825324034
0.0ms	-0.0625815168957968	-0.05417311028192523

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes273.0ms (1.6%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

5 calls:

182.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
14.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
14.0ms	b
14.0ms	a
13.0ms	r

Results

Error	Segments	Branch
15.7b	1	`r`
15.7b	1	`a`
15.7b	1	`b`
15.7b	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
15.7b	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 322 to 129 computations (59.9% saved)

regimes131.0ms (0.8%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

94.0ms	a
9.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
9.0ms	b
8.0ms	r
7.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

Error	Segments	Branch
15.8b	1	`r`
15.8b	1	`a`
15.8b	1	`b`
15.8b	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
15.8b	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 153 to 73 computations (52.3% saved)

regimes201.0ms (1.2%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

155.0ms	a
21.0ms	r
21.0ms	b

Results

Error	Segments	Branch
23.4b	3	`r`
15.7b	3	`a`
15.6b	3	`b`

Compiler

Compiled 113 to 50 computations (55.8% saved)

bsearch87.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	0.023435517203661802	504818.1431195076
41.0ms	-0.05412020899166243	-7.911795790718537e-6

Results

37.0ms	70×	body	1024	valid
32.0ms	164×	body	256	valid
10.0ms	32×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 392 to 285 computations (27.3% saved)

regimes369.0ms (2.1%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

138.0ms	a
132.0ms	r
97.0ms	b

Results

Error	Segments	Branch
23.4b	3	`r`
15.8b	3	`a`
15.7b	3	`b`

Compiler

Compiled 106 to 49 computations (53.8% saved)

bsearch170.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
125.0ms	0.023435517203661802	504818.1431195076
45.0ms	-0.05412020899166243	-7.911795790718537e-6

Results

42.0ms	81×	body	1024	valid
26.0ms	148×	body	256	valid
10.0ms	32×	body	512	valid
8.0ms	11×	body	2048	valid

Compiler

Compiled 392 to 285 computations (27.3% saved)

regimes130.0ms (0.8%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

115.0ms	a
6.0ms	b
6.0ms	r

Results

Error	Segments	Branch
27.1b	1	`r`
27.1b	1	`a`
27.1b	1	`b`

Compiler

Compiled 92 to 46 computations (50% saved)

regimes42.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	b
16.0ms	a
6.0ms	r

Results

Error	Segments	Branch
29.6b	1	`r`
28.4b	3	`a`
26.5b	3	`b`

Compiler

Compiled 85 to 44 computations (48.2% saved)

bsearch122.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
79.0ms	0.023435517203661802	504818.1431195076
43.0ms	-587.4507996474108	-0.05412020899166243

Results

39.0ms	152×	body	256	valid
36.0ms	16×	body	2048	valid
35.0ms	75×	body	1024	valid
9.0ms	29×	body	512	valid

Compiler

Compiled 324 to 234 computations (27.8% saved)

regimes10.0ms (0.1%)

Accuracy

Total -3.2b remaining (-8.3%)

Threshold costs -3.2b (-8.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	r
3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
38.1b	1	`r`
38.1b	1	`a`
38.1b	1	`b`

Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	601

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)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) -1080863910568919/18014398509481984) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) 3602879701896397/72057594037927936) (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) b)))) (.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 b -534955578137577/36893488147419103232) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (if (<=.f64 b 3458764513820541/144115188075855872) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(if (<=.f64 b -48999163945791/576460752303423488) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (if (<=.f64 b 3458764513820541/144115188075855872) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(if (<=.f64 b -1) (.f64 (sin.f64 b) r) (if (<=.f64 b 5584463537939415/9007199254740992) (.f64 r (/.f64 b (cos.f64 a))) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(*.f64 r b)

Outputs
(/.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)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) -1080863910568919/18014398509481984) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) 3602879701896397/72057594037927936) (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) b)))) (.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 b -534955578137577/36893488147419103232) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (if (<=.f64 b 3458764513820541/144115188075855872) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(if (<=.f64 b -48999163945791/576460752303423488) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (if (<=.f64 b 3458764513820541/144115188075855872) (.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(if (<=.f64 b -1) (.f64 (sin.f64 b) r) (if (<=.f64 b 5584463537939415/9007199254740992) (.f64 r (/.f64 b (cos.f64 a))) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(*.f64 r b)

Compiler

Compiled 238 to 131 computations (45% saved)

soundness235.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1188×	`rational_best-simplify-1`
868×	`trig-simplify-11`
690×	`rational_best-simplify-51`
650×	`rational_best-simplify-52`
626×	`trig-simplify-9`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	25	27
2	35	27
3	58	27
4	84	27
5	114	27
6	186	27
7	382	27
8	974	27
9	2529	27
10	5225	27

Stop Event

1×	node limit

Compiler

Compiled 21 to 12 computations (42.9% saved)

end158.0ms (0.9%)

Compiler: Compiled 208 to 63 computations (69.7% saved)