Details

analyze196.0ms (0.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample12.9s (60.8%)

Results

6.7s	3083×	body	1024	valid
4.6s	2056×	body	2048	valid
737.0ms	88×	body	4096	valid
566.0ms	1630×	body	512	valid
266.0ms	1397×	body	256	valid
4.0ms	2×	body	8192	valid

Bogosity

preprocess124.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1432×	`rational.json-simplify-35`
964×	`rational.json-simplify-50`
910×	`rational.json-simplify-2`
896×	`rational.json-simplify-1`
854×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	30	21
3	51	21
4	97	21
5	202	21
6	484	21
7	1308	21
8	2611	21
9	3783	21
10	4673	21
11	5739	21
12	6775	21
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify224.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1432×	`rational.json-simplify-35`
964×	`rational.json-simplify-50`
910×	`rational.json-simplify-2`
896×	`rational.json-simplify-1`
854×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	30	21
3	51	21
4	97	21
5	202	21
6	484	21
7	1308	21
8	2611	21
9	3783	21
10	4673	21
11	5739	21
12	6775	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

29.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.4b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	2.3b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

3 → 12

Calls

9 calls:

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

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`rational.json-1`
1436×	`rational.json-2`
1436×	`rational.json-4`
1436×	`rational.json-3`
1428×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	72	37
2	190	37
3	449	37
4	1115	37
5	3972	37

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(sin.f64 x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (+.f64 -2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 -2 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (.f64 (-.f64 1 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 1 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (.f64 (-.f64 1 (cos.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (-.f64 1 (cos.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (+.f64 (cos.f64 x) -1)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (+.f64 (cos.f64 x) -1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (cos.f64 x) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (.f64 2 (/.f64 1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 (/.f64 1 (sin.f64 x)) 4))))) (#(struct:change #<rule 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((x .f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (neg.f64 (.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2) 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(sin.f64 x) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sin.f64 x)) 4) (.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (sin.f64 x)) 1/4) (.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (.f64 2 (/.f64 1 (sin.f64 x)))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 1/2 (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) 1/2) (.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (sin.f64 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 2 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (sin.f64 x) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 x)))))))

Outputs

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(cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1/2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) 8)) (*.f64 (-.f64 1 (cos.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) -2)) (*.f64 (-.f64 1 (cos.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))) (*.f64 (-.f64 1 (cos.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sin.f64 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 x)))))))

simplify525.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1736×	`rational.json-simplify-39`
1442×	`rational.json-simplify-2`
1148×	`rational.json-simplify-53`
522×	`rational.json-simplify-43`
498×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	283	3850
1	588	3764
2	3075	3724
3	6267	3464

Stop Event

1×	node limit

Counts

158 → 190

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 -1 (neg.f64 (+.f64 -2 (cos.f64 x))))
(+.f64 (neg.f64 (+.f64 -2 (cos.f64 x))) -1)
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) 1/8)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) -1/2)
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 1 (cos.f64 x)) 4))
(.f64 -1/2 (.f64 (-.f64 1 (cos.f64 x)) -2))
(.f64 1/8 (.f64 (-.f64 1 (cos.f64 x)) 8))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) 8)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) -2)
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8)) 16)
(/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) -4)
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2)) 2)
(/.f64 (neg.f64 (*.f64 4 (+.f64 (cos.f64 x) -1))) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (*.f64 2 (/.f64 1 (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 2 (sin.f64 x))))
(.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x)))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 (/.f64 1 (sin.f64 x)) 4))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (/.f64 1 (sin.f64 x)) 1/4))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)))
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (.f64 2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/4)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) (/.f64 1 (*.f64 (sin.f64 x) 8)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (*.f64 (sin.f64 x) -2)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2) (/.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 2)
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 2 (/.f64 1 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 2 (sin.f64 x)))
(*.f64 1/4 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) 4) (.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 1/4) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (sin.f64 x)))) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 1/2 (/.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 1/2 (/.f64 1/2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 1 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (sin.f64 x))
(.f64 (/.f64 1 (.f64 2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 2 (.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2))) -1)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)) 4)
(.f64 (/.f64 1/2 (neg.f64 (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) -2))
(.f64 (/.f64 1/2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (sin.f64 x) (.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)
(.f64 (/.f64 1 (.f64 (sin.f64 x) 8)) (*.f64 (-.f64 1 (cos.f64 x)) 8))
(.f64 (/.f64 1 (.f64 (sin.f64 x) -2)) (*.f64 (-.f64 1 (cos.f64 x)) -2))
(.f64 (/.f64 1 (neg.f64 (.f64 (sin.f64 x) 2))) (*.f64 (-.f64 1 (cos.f64 x)) -2))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (.f64 (sin.f64 x) 2))))
(+.f64 (sin.f64 x) 0)
(+.f64 0 (sin.f64 x))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (sin.f64 x) 1/2) (.f64 (sin.f64 x) 1/2))
(+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1)
(-.f64 (sin.f64 x) 0)
(-.f64 0 (neg.f64 (sin.f64 x)))
(*.f64 1 (sin.f64 x))
(*.f64 (sin.f64 x) 1)
(.f64 (.f64 (sin.f64 x) 2) 1/2)
(.f64 2 (.f64 (sin.f64 x) 1/2))
(*.f64 -1 (neg.f64 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) 4) 1/4)
(*.f64 4 (/.f64 (sin.f64 x) 4))
(*.f64 (neg.f64 (sin.f64 x)) -1)
(.f64 (.f64 (sin.f64 x) 8) 1/8)
(.f64 1/2 (.f64 (sin.f64 x) 2))
(.f64 1/4 (.f64 (sin.f64 x) 4))
(.f64 (.f64 (sin.f64 x) 1/2) 2)
(*.f64 (/.f64 (sin.f64 x) 4) 4)
(.f64 1/8 (.f64 (sin.f64 x) 8))
(/.f64 1 (/.f64 1 (sin.f64 x)))
(/.f64 (sin.f64 x) 1)
(/.f64 (*.f64 (sin.f64 x) 2) 2)
(/.f64 2 (*.f64 2 (/.f64 1 (sin.f64 x))))
(/.f64 2 (/.f64 2 (sin.f64 x)))
(/.f64 -1 (/.f64 -1 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) 4) 4)
(/.f64 (neg.f64 (sin.f64 x)) -1)
(/.f64 (*.f64 (sin.f64 x) 8) 8)
(/.f64 (*.f64 (sin.f64 x) -2) -2)
(/.f64 1/2 (/.f64 1/2 (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) -2)
(/.f64 (.f64 2 (.f64 (sin.f64 x) 8)) 16)
(/.f64 (neg.f64 (*.f64 (sin.f64 x) -2)) 2)
(pow.f64 (sin.f64 x) 1)
(neg.f64 (neg.f64 (sin.f64 x)))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 x (.f64 (pow.f64 x 5) 1/120)))
(+.f64 x (+.f64 (.f64 (pow.f64 x 5) 1/120) (.f64 (pow.f64 x 3) -1/6)))
(+.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (pow.f64 x 5) 1/120))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(+.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 (.f64 (pow.f64 x 5) 1/120) (+.f64 x (*.f64 (pow.f64 x 7) -1/5040))))
(+.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 x (+.f64 (.f64 (pow.f64 x 7) -1/5040) (*.f64 (pow.f64 x 5) 1/120))))
(+.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 1/120) (*.f64 (pow.f64 x 7) -1/5040))))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 -1 (neg.f64 (+.f64 -2 (cos.f64 x))))
(+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) -2)))
(-.f64 -1 (+.f64 (cos.f64 x) -2))
(+.f64 (neg.f64 (+.f64 -2 (cos.f64 x))) -1)
(+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) -2)))
(-.f64 -1 (+.f64 (cos.f64 x) -2))
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(-.f64 1 (cos.f64 x))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(-.f64 1 (cos.f64 x))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(-.f64 1 (cos.f64 x))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) 4))
(-.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) 1/8)
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) -1/2)
(-.f64 1 (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)
(-.f64 1 (cos.f64 x))
(.f64 1/4 (.f64 (-.f64 1 (cos.f64 x)) 4))
(-.f64 1 (cos.f64 x))
(.f64 -1/2 (.f64 (-.f64 1 (cos.f64 x)) -2))
(-.f64 1 (cos.f64 x))
(.f64 1/8 (.f64 (-.f64 1 (cos.f64 x)) 8))
(-.f64 1 (cos.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(-.f64 1 (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) 8)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) -2)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8)) 16)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) -4)
(-.f64 1 (cos.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2)) 2)
(-.f64 1 (cos.f64 x))
(/.f64 (neg.f64 (*.f64 4 (+.f64 (cos.f64 x) -1))) 4)
(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (*.f64 2 (/.f64 1 (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (sin.f64 x) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 -1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 (/.f64 1 (sin.f64 x)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (/.f64 1 (sin.f64 x)) 1/4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (sin.f64 x) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (sin.f64 x) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (.f64 2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) 2))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 2 (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 -2 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))
(.f64 (.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) 2))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 2 (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 -2 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))
(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/4)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) (/.f64 1 (*.f64 (sin.f64 x) 8)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
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(/.f64 2 (/.f64 2 (sin.f64 x)))
(sin.f64 x)
(/.f64 -1 (/.f64 -1 (sin.f64 x)))
(sin.f64 x)
(/.f64 (*.f64 (sin.f64 x) 4) 4)
(sin.f64 x)
(/.f64 (neg.f64 (sin.f64 x)) -1)
(sin.f64 x)
(/.f64 (*.f64 (sin.f64 x) 8) 8)
(sin.f64 x)
(/.f64 (*.f64 (sin.f64 x) -2) -2)
(sin.f64 x)
(/.f64 1/2 (/.f64 1/2 (sin.f64 x)))
(sin.f64 x)
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) -2)
(sin.f64 x)
(/.f64 (.f64 2 (.f64 (sin.f64 x) 8)) 16)
(sin.f64 x)
(/.f64 (neg.f64 (*.f64 (sin.f64 x) -2)) 2)
(sin.f64 x)
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)

eval123.0ms (0.6%)

Compiler: Compiled 2756 to 1711 computations (37.9% saved)

prune224.0ms (1.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	169	21	190
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	169	22	191

Error

0.2b

Counts

191 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (-.f64 1 (cos.f64 x)))
	31.2b	(/.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 2 (-.f64 1 (cos.f64 x)))))
	29.5b	(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 2 (sin.f64 x))))
	31.2b	(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1))
	60.6b	(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
✓	29.4b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	60.8b	(/.f64 (-.f64 1 (cos.f64 x)) x)
	29.6b	(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
	32.4b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
▶	32.5b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
	32.6b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
▶	29.5b	(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
	31.2b	(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
▶	29.4b	(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/4)
	29.5b	(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
	29.5b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
▶	31.2b	(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))))
	31.2b	(.f64 (sin.f64 x) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
	31.2b	(.f64 2 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
	31.2b	(.f64 2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 -2 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))
▶	32.1b	(*.f64 1/2 x)
	31.1b	(neg.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))

Compiler

Compiled 700 to 504 computations (28% saved)

localize99.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
✓	0.2b	(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
	2.3b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 40 to 23 computations (42.5% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
0.0ms	x	@	-inf	(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
0.0ms	x	@	-inf	(/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
0.0ms	x	@	inf	(/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
0.0ms	x	@	0	(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`rational.json-1`
1454×	`rational.json-2`
1454×	`rational.json-4`
1454×	`rational.json-3`
1440×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	93	48
2	278	48
3	771	48
4	2277	48
5	5357	48

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

Inputs
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (/.f64 1/4 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 (sin.f64 x) (/.f64 1/4 (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sin.f64 x) 1/2) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 1/2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 1/4 (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))) (.f64 (sin.f64 x) (/.f64 1/4 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sin.f64 x) -2) (+.f64 (cos.f64 x) -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 (sin.f64 x) 1/2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) 1/2) (.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) 4) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) -2) (/.f64 2 (.f64 4 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (.f64 (sin.f64 x) -2) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2) (.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sin.f64 x) 1/2) (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) 4)) (.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 4 (+.f64 (cos.f64 x) -1))) (.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 4 (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 x) -1) (/.f64 -4 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 x) -1) 2) (/.f64 2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (sin.f64 x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4 (sin.f64 x)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 4 (sin.f64 x)) 1/2) (.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 4 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (neg.f64 (sin.f64 x))) (.f64 (+.f64 (cos.f64 x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (/.f64 1/4 (-.f64 1 (cos.f64 x)))) (+.f64 (*.f64 (sin.f64 x) (/.f64 1/4 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (sin.f64 x) (/.f64 1/4 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) (/.f64 1/4 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) -2) (+.f64 (cos.f64 x) -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) -2) (/.f64 2 (*.f64 4 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (sin.f64 x) -2) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) -1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) -1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 4 (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 -4 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 2) (/.f64 2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sin.f64 x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (sin.f64 x)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 4 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (neg.f64 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))))))))

simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1290×	`rational.json-simplify-51`
1190×	`rational.json-simplify-44`
1126×	`rational.json-simplify-47`
866×	`rational.json-simplify-43`
840×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	2246
1	323	2246
2	649	2246
3	1405	2246
4	6004	2246

Stop Event

1×	node limit

Counts

90 → 96

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5)))))
(*.f64 2 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 17/10080 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 1/60 (pow.f64 x 5)))))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)
(+.f64 0 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(+.f64 (.f64 (sin.f64 x) (/.f64 1/4 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 (sin.f64 x) (/.f64 1/4 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))))
(+.f64 (.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(+.f64 (/.f64 (.f64 (sin.f64 x) 1/2) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 1/2) (-.f64 1 (cos.f64 x))))
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) -1)
(+.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 1/4 (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) (/.f64 1/4 (-.f64 1 (cos.f64 x)))))
(-.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)
(-.f64 0 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(*.f64 (sin.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2))
(.f64 (/.f64 (.f64 (sin.f64 x) -2) (+.f64 (cos.f64 x) -1)) 1/2)
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 2 (.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(.f64 2 (/.f64 (.f64 (sin.f64 x) 1/2) (-.f64 1 (cos.f64 x))))
(*.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (sin.f64 x) 1/2) (*.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4) 1/4)
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(.f64 (.f64 (sin.f64 x) -2) (/.f64 2 (*.f64 4 (+.f64 (cos.f64 x) -1))))
(.f64 1/4 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) -1)
(.f64 (.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) 2)
(.f64 (.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) -2) (+.f64 (cos.f64 x) -1)))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (neg.f64 (sin.f64 x)))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2) (*.f64 (sin.f64 x) 2))
(.f64 (/.f64 (.f64 (sin.f64 x) 1/2) (-.f64 1 (cos.f64 x))) 2)
(.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 (sin.f64 x) 4))
(.f64 (/.f64 2 (.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (sin.f64 x) -2))
(*.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)
(neg.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) -1/4)) 0)
(+.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) -1/4)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) -1/4)) 0)
(-.f64 0 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))))
(.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -1/4)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -1/4)) 1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (sin.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 4 (sin.f64 x)) 1/2))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -4 (sin.f64 x)))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(.f64 (.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1/2)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 2) (/.f64 2 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 4 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 4 (sin.f64 x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 2)
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 1/4))
(.f64 1/2 (.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 -4 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(.f64 (.f64 (/.f64 4 (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 4 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))) -1)
(.f64 (/.f64 2 (neg.f64 (sin.f64 x))) (.f64 (+.f64 (cos.f64 x) -1) 2))
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) -1/4)) 1)
(neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))))

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 -1/360 (pow.f64 x 3))))
(+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5)))))
(+.f64 (.f64 x -1/6) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5))) (.f64 -1/360 (pow.f64 x 3))))
(+.f64 (.f64 x -1/6) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5)))))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 x -1/6) (.f64 -1/360 (pow.f64 x 3)))))
(+.f64 (.f64 x -1/6) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/360 (pow.f64 x 3)))))
(*.f64 2 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 2 x) (.f64 (pow.f64 x 3) 1/6))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 (pow.f64 x 5) 1/60) (*.f64 (pow.f64 x 3) 1/6)))
(+.f64 (.f64 (pow.f64 x 3) 1/6) (+.f64 (.f64 2 x) (*.f64 (pow.f64 x 5) 1/60)))
(+.f64 (.f64 2 x) (+.f64 (.f64 (pow.f64 x 3) 1/6) (*.f64 (pow.f64 x 5) 1/60)))
(+.f64 (.f64 17/10080 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 1/60 (pow.f64 x 5)))))
(+.f64 (.f64 (pow.f64 x 3) 1/6) (+.f64 (+.f64 (.f64 2 x) (.f64 (pow.f64 x 5) 1/60)) (.f64 17/10080 (pow.f64 x 7))))
(+.f64 (.f64 (pow.f64 x 3) 1/6) (+.f64 (.f64 2 x) (+.f64 (.f64 (pow.f64 x 5) 1/60) (.f64 17/10080 (pow.f64 x 7)))))
(+.f64 (.f64 2 x) (+.f64 (.f64 (pow.f64 x 3) 1/6) (+.f64 (.f64 (pow.f64 x 5) 1/60) (.f64 17/10080 (pow.f64 x 7)))))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 0 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) (/.f64 1/4 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 (sin.f64 x) (/.f64 1/4 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 (/.f64 (.f64 (sin.f64 x) 1/2) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) -1)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 1/4 (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) (/.f64 1/4 (-.f64 1 (cos.f64 x)))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(-.f64 0 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 (.f64 (sin.f64 x) -2) (+.f64 (cos.f64 x) -1)) 1/2)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 2 (.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 2 (/.f64 (.f64 (sin.f64 x) 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) 1/2) (*.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4) 1/4)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) -2) (/.f64 2 (*.f64 4 (+.f64 (cos.f64 x) -1))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 1/4 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) -1)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) 2)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 1/2))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) -2) (+.f64 (cos.f64 x) -1)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2) (*.f64 (sin.f64 x) 2))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 (.f64 (sin.f64 x) 1/2) (-.f64 1 (cos.f64 x))) 2)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 (sin.f64 x) 4))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 2 (.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (sin.f64 x) -2))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) -1/4)) 0)
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) -1/4)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) -1/4)) 0)
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 0 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -1/4)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -1/4)) 1)
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 4 (sin.f64 x)) 1/2))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -4 (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1/2)
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 2) (/.f64 2 (neg.f64 (sin.f64 x))))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 4 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 4 (sin.f64 x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 2)
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 1/4))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 1/2 (.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 -4 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (/.f64 4 (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 4 (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 1 (sin.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))) -1)
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (/.f64 2 (neg.f64 (sin.f64 x))) (.f64 (+.f64 (cos.f64 x) -1) 2))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) -1/4)) 1)
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize69.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
✓	0.2b	(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
✓	1.7b	(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
✓	2.3b	(+.f64 (cos.f64 x) -1)

Compiler

Compiled 39 to 22 computations (43.6% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (cos.f64 x) -1)
1.0ms	x	@	inf	(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
1.0ms	x	@	-inf	(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
0.0ms	x	@	inf	(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
0.0ms	x	@	-inf	(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1650×	`rational.json-1`
1650×	`rational.json-2`
1650×	`rational.json-4`
1650×	`rational.json-3`
1642×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	92
1	94	92
2	225	86
3	528	84
4	1315	80
5	4694	80

Stop Event

1×	node limit

Counts

4 → 148

Calls

Call 1

Inputs
(+.f64 (cos.f64 x) -1)
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (cos.f64 x) 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (cos.f64 x) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (cos.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 x) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 x) -1) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (cos.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 x) -1) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 x) -1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (cos.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (cos.f64 x) 2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 x) -1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 x) -1) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (-.f64 1 (cos.f64 x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (+.f64 (cos.f64 x) -1) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 4 (-.f64 1 (cos.f64 x))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (cos.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (cos.f64 x) 2) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (+.f64 (.f64 (cos.f64 x) 2) -2) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 x) -1) 1/2) (/.f64 2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (cos.f64 x) 2) -2) (.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 (sin.f64 x) -2) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (.f64 4 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 x) -1) 8) (.f64 8 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) 2) -2) (neg.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (neg.f64 (sin.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (neg.f64 (sin.f64 x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) (.f64 2 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 2)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (cos.f64 x) 2) -2) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (sin.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 1 (.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (.f64 1/4 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (.f64 1/2 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 -1 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 1 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 2 (.f64 2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x))) (/.f64 1/2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 x) -1) 8) (/.f64 1 (.f64 (sin.f64 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 2) (.f64 2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (.f64 (cos.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1 (.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1 (neg.f64 (.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 (sin.f64 x))) (.f64 (+.f64 (cos.f64 x) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (sin.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (.f64 2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 x) -1) 1/2) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (.f64 (+.f64 (cos.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))

simplify185.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1354×	`rational.json-simplify-53`
1082×	`rational.json-simplify-2`
708×	`rational.json-simplify-52`
648×	`rational.json-simplify-50`
608×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	316	5842
1	717	5134
2	2702	5006
3	4534	4994

Stop Event

1×	node limit

Counts

196 → 237

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 -1/240 (pow.f64 x 5))))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 -17/40320 (pow.f64 x 7)) (.f64 -1/240 (pow.f64 x 5)))))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(-.f64 (cos.f64 x) 1)
(-.f64 (+.f64 (cos.f64 x) -1) 0)
(-.f64 0 (-.f64 1 (cos.f64 x)))
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) 1)
(*.f64 1 (+.f64 (cos.f64 x) -1))
(.f64 (+.f64 (.f64 (cos.f64 x) 2) -2) 1/2)
(.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 1/2))
(*.f64 4 (/.f64 (+.f64 (cos.f64 x) -1) 4))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) 1/4)
(*.f64 (-.f64 1 (cos.f64 x)) -1)
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 8) 1/8)
(.f64 1/2 (+.f64 (.f64 (cos.f64 x) 2) -2))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) -2) -1/2)
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (cos.f64 x) -1) 4))
(/.f64 (+.f64 (cos.f64 x) -1) 1)
(/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 4)
(/.f64 (-.f64 1 (cos.f64 x)) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) 8)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) -2)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8)) 16)
(/.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) -4)
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2)) 2)
(/.f64 (/.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) -1) 4)
(pow.f64 (+.f64 (cos.f64 x) -1) 1)
(neg.f64 (-.f64 1 (cos.f64 x)))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(-.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(-.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(.f64 (+.f64 (.f64 (cos.f64 x) 2) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2))
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2)
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 1/4)
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(.f64 1/2 (/.f64 (+.f64 (.f64 (cos.f64 x) 2) -2) (neg.f64 (sin.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/2) (/.f64 2 (neg.f64 (sin.f64 x))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (neg.f64 (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) 2)
(/.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (sin.f64 x)))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (+.f64 (.f64 (cos.f64 x) 2) -2) (.f64 (sin.f64 x) -2))
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) -2) (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (.f64 4 (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) 8) (.f64 8 (neg.f64 (sin.f64 x))))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) 16)
(/.f64 (/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (neg.f64 (sin.f64 x))) 2)
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (neg.f64 (sin.f64 x))) 4)
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (neg.f64 (sin.f64 x))) 8)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))
(+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 0)
(+.f64 0 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)
(*.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(*.f64 1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)
(.f64 2 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1/2))
(.f64 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2) 1/2)
(*.f64 4 (/.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4))
(*.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
(.f64 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2))
(.f64 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1/2) 2)
(/.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)
(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2) 2)
(/.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) 8)
(/.f64 (*.f64 2 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) (.f64 2 (.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4))) 16)
(/.f64 (/.f64 (*.f64 2 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1) 2)
(pow.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)
(neg.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(+.f64 -1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(+.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(+.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)
(+.f64 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 2)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)
(-.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
(-.f64 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 -1 (/.f64 (+.f64 (.f64 (cos.f64 x) 2) -2) (neg.f64 (*.f64 (sin.f64 x) 2))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (sin.f64 x)))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) 1/2))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 (/.f64 2 (sin.f64 x)) 1/2))
(*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(.f64 (+.f64 (.f64 (cos.f64 x) 2) -2) (/.f64 1/2 (sin.f64 x)))
(.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 2)))
(.f64 4 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 4)))
(*.f64 4 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 4))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (sin.f64 x))) 1/2)
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) 1))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 1/4 (/.f64 1 (sin.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 -1 (sin.f64 x)) 1))
(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 1 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 2 (.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))
(.f64 (/.f64 (.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))
(.f64 (/.f64 (.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x))) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) 1/4)
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 8) (/.f64 1 (*.f64 (sin.f64 x) 8)))
(.f64 1/2 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 2) (.f64 2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (.f64 (cos.f64 x) 2) -2))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1 (*.f64 (sin.f64 x) -2)))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))))
(.f64 (.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) -1) 1/2))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) 1/2))
(.f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) (/.f64 (.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(.f64 (.f64 1/2 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 2)) 2)
(.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/2) (/.f64 2 (sin.f64 x)))
(*.f64 1/4 (/.f64 4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 (+.f64 (cos.f64 x) -1) 4))
(*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8))) (.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 x 1/2))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 1 (+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 1 (.f64 x 1/2)))
(+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (*.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x))
(+.f64 (.f64 -1/2 x) (.f64 (pow.f64 x 3) -1/24))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 -1/240 (pow.f64 x 5))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 (pow.f64 x 5) -1/240) (*.f64 (pow.f64 x 3) -1/24)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 (pow.f64 x 5) -1/240)))
(+.f64 (+.f64 (.f64 -1/2 x) (.f64 (pow.f64 x 3) -1/24)) (*.f64 (pow.f64 x 5) -1/240))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 -17/40320 (pow.f64 x 7)) (.f64 -1/240 (pow.f64 x 5)))))
(+.f64 (.f64 (pow.f64 x 3) -1/24) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 (pow.f64 x 5) -1/240) (.f64 (pow.f64 x 7) -17/40320))))
(+.f64 (.f64 (pow.f64 x 7) -17/40320) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 (pow.f64 x 5) -1/240))))
(+.f64 (.f64 (pow.f64 x 5) -1/240) (+.f64 (+.f64 (.f64 -1/2 x) (.f64 (pow.f64 x 7) -17/40320)) (.f64 (pow.f64 x 3) -1/24)))
(+.f64 (+.f64 (.f64 -1/2 x) (.f64 (pow.f64 x 3) -1/24)) (+.f64 (.f64 (pow.f64 x 5) -1/240) (.f64 (pow.f64 x 7) -17/40320)))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (+.f64 (cos.f64 x) -1) 0)
(+.f64 (cos.f64 x) -1)
(-.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 x) -1)
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 x) -1)
(*.f64 (+.f64 (cos.f64 x) -1) 1)
(+.f64 (cos.f64 x) -1)
(*.f64 1 (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) -1)
(.f64 (+.f64 (.f64 (cos.f64 x) 2) -2) 1/2)
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 x)) -2))
(.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 1/2))
(+.f64 (cos.f64 x) -1)
(*.f64 4 (/.f64 (+.f64 (cos.f64 x) -1) 4))
(+.f64 (cos.f64 x) -1)
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) 1/4)
(+.f64 (cos.f64 x) -1)
(*.f64 (-.f64 1 (cos.f64 x)) -1)
(+.f64 (cos.f64 x) -1)
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 8) 1/8)
(+.f64 (cos.f64 x) -1)
(.f64 1/2 (+.f64 (.f64 (cos.f64 x) 2) -2))
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 x)) -2))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) -2) -1/2)
(+.f64 (cos.f64 x) -1)
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/2) 2)
(+.f64 (cos.f64 x) -1)
(.f64 1/4 (.f64 (+.f64 (cos.f64 x) -1) 4))
(+.f64 (cos.f64 x) -1)
(/.f64 (+.f64 (cos.f64 x) -1) 1)
(+.f64 (cos.f64 x) -1)
(/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 2)
(/.f64 (+.f64 (*.f64 2 (cos.f64 x)) -2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 4)
(+.f64 (cos.f64 x) -1)
(/.f64 (-.f64 1 (cos.f64 x)) -1)
(+.f64 (cos.f64 x) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) 8)
(+.f64 (cos.f64 x) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) -2)
(+.f64 (cos.f64 x) -1)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8)) 16)
(+.f64 (cos.f64 x) -1)
(/.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) -4)
(+.f64 (cos.f64 x) -1)
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2)) 2)
(+.f64 (cos.f64 x) -1)
(/.f64 (/.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) -1) 4)
(+.f64 (cos.f64 x) -1)
(pow.f64 (+.f64 (cos.f64 x) -1) 1)
(+.f64 (cos.f64 x) -1)
(neg.f64 (-.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 x) -1)
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (+.f64 (.f64 (cos.f64 x) 2) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(.f64 (+.f64 (.f64 2 (cos.f64 x)) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(.f64 (+.f64 (.f64 2 (cos.f64 x)) -2) (/.f64 -1/2 (sin.f64 x)))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
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(.f64 (sin.f64 x) (/.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(.f64 (sin.f64 x) (/.f64 (/.f64 (/.f64 1 (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)) (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 (/.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (sin.f64 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 1)
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(.f64 (+.f64 (.f64 (cos.f64 x) 2) -2) (/.f64 1/2 (sin.f64 x)))
(.f64 (+.f64 (.f64 2 (cos.f64 x)) -2) (/.f64 1/2 (sin.f64 x)))
(.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 2)))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(.f64 4 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 4)))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(*.f64 4 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 4))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (sin.f64 x))) 1/2)
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) 1))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 1/4 (/.f64 1 (sin.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (sin.f64 x)))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 -1 (sin.f64 x)) 1))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 1 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 1 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 2 (.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))
(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 1 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (sin.f64 x))))
(.f64 (/.f64 (.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))
(.f64 (.f64 -2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(.f64 -2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 1/2 (sin.f64 x))))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 1/2 (sin.f64 x))) (+.f64 (cos.f64 x) -1)))
(.f64 -2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1/2 (/.f64 (sin.f64 x) (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (sin.f64 x))))))
(.f64 (/.f64 (.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x))) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(.f64 (.f64 -2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(.f64 -2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 1/2 (sin.f64 x))))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 1/2 (sin.f64 x))) (+.f64 (cos.f64 x) -1)))
(.f64 -2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1/2 (/.f64 (sin.f64 x) (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (sin.f64 x))))))
(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) 1/4)
(*.f64 1/4 (/.f64 4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(*.f64 1/4 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) 4)))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 8) (/.f64 1 (*.f64 (sin.f64 x) 8)))
(.f64 (.f64 8 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 8 (sin.f64 x))))
(.f64 8 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/8 (sin.f64 x))))
(.f64 1/2 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (sin.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 2) (.f64 2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))
(.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (.f64 (cos.f64 x) 2) -2))
(.f64 (+.f64 (.f64 2 (cos.f64 x)) -2) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1 (*.f64 (sin.f64 x) -2)))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(.f64 (.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) -1) 1/2))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) 1/2))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(.f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) (/.f64 (.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(.f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (.f64 2 (sin.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(.f64 2 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 -1/2 (-.f64 1 (cos.f64 x)))))
(.f64 2 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 -1/2 (-.f64 1 (cos.f64 x)))))
(.f64 2 (.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (sin.f64 x)) (/.f64 -1/2 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 1/2 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(.f64 (.f64 1/2 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 2 (sin.f64 x))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 2 (/.f64 (sin.f64 x) (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (sin.f64 x))))))
(.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 2)) 2)
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))
(.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (.f64 2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))
(*.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (sin.f64 x)))) 2))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) 2) (/.f64 2 (+.f64 (cos.f64 x) -1)))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (sin.f64 x)) 2) (/.f64 2 (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/2) (/.f64 2 (sin.f64 x)))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(*.f64 1/4 (/.f64 4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(*.f64 1/4 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) 4)))
(.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))
(.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 (+.f64 (cos.f64 x) -1) 4))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 1)
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))

localize112.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
✓	0.0b	(pow.f64 x 3)
✓	0.0b	(*.f64 1/240 (pow.f64 x 5))
✓	0.1b	(*.f64 1/24 (pow.f64 x 3))

Compiler

Compiled 52 to 41 computations (21.2% saved)

series5.0ms (0%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 1/24 (pow.f64 x 3))
1.0ms	x	@	-inf	(pow.f64 x 3)
0.0ms	x	@	0	(*.f64 1/24 (pow.f64 x 3))
0.0ms	x	@	inf	(pow.f64 x 3)
0.0ms	x	@	0	(*.f64 1/240 (pow.f64 x 5))

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1760×	`rational.json-simplify-35`
1622×	`rational.json-1`
1622×	`rational.json-2`
1622×	`rational.json-4`
1622×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	76
1	99	76
2	185	76
3	364	76
4	746	76
5	1958	76
6	4214	76
7	5873	76
8	7322	76

Stop Event

1×	node limit

Counts

4 → 78

Calls

Call 1

Inputs
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/240 (pow.f64 x 5))
(pow.f64 x 3)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/24 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/24 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 3) 1/48))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/24 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/24 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 x 3) 2) 1/6) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (pow.f64 x 3) 2) 1/6)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 3) 2) 1/6))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 3) 2) 1/6)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 3) 2) 1/6)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 3) 2) 1/6))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/24 (pow.f64 x 3)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/240 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/240 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 5) 1/480) (.f64 (pow.f64 x 5) 1/480))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/240 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/240 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 5) 1/120) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 5) 1/60) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 5) 1/60)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/60))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/60)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/60))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/60))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/60)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/240 (pow.f64 x 5)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) 1/2) (.f64 (pow.f64 x 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (pow.f64 x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (pow.f64 x 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (pow.f64 x 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 3) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (.f64 (pow.f64 x 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (pow.f64 x 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 3) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (pow.f64 x 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 3) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 3) 1/8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 64 (.f64 (pow.f64 x 3) 1/64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x 3) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 3) 64) 1/64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 3) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 8))))) 128)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 x (.f64 4 (+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 5) 1/480)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (+.f64 x (.f64 (pow.f64 x 5) 1/120)) (.f64 (pow.f64 x 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 1/12) (+.f64 x (.f64 (pow.f64 x 5) 1/120))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (pow.f64 x 5) 1/120) (+.f64 x (.f64 (pow.f64 x 3) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 x 1/4) (+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 5) 1/480))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 4 (+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 5) 1/480)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) 4) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 x 1/4) (+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 5) 1/480))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 4 (+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 5) 1/480)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 1)))))

simplify649.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

2408×	`rational.json-simplify-41`
2116×	`rational.json-simplify-35`
2062×	`rational.json-simplify-2`
1914×	`rational.json-simplify-51`
510×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	1986
1	349	1986
2	1081	1986
3	2119	1986
4	2761	1986
5	3012	1986
6	3202	1986
7	3324	1986
8	3432	1986
9	6679	1986
10	7008	1986
11	7183	1986
12	7314	1986
13	7423	1986
14	7424	1986

Stop Event

1×	node limit

Counts

90 → 90

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 3) 1/48))
(-.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(/.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(/.f64 (*.f64 (pow.f64 x 3) 1/12) 2)
(/.f64 (*.f64 (pow.f64 x 3) 1/6) 4)
(/.f64 (.f64 (.f64 (pow.f64 x 3) 2) 1/6) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 x 3) 2) 1/6)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 3) 2) 1/6))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (pow.f64 x 3) 2) 1/6)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 3) 2) 1/6)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 3) 2) 1/6))))) 128)
(pow.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(+.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(+.f64 0 (*.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 (pow.f64 x 5) 1/480) (.f64 (pow.f64 x 5) 1/480))
(-.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(/.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(/.f64 (*.f64 (pow.f64 x 5) 1/120) 2)
(/.f64 (*.f64 (pow.f64 x 5) 1/60) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 5) 1/60)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 5) 1/60))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/60)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 5) 1/60))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/60))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/60)))))) 128)
(pow.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(+.f64 (pow.f64 x 3) 0)
(+.f64 0 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 3) 1/2) (.f64 (pow.f64 x 3) 1/2))
(-.f64 (pow.f64 x 3) 0)
(*.f64 (pow.f64 x 3) 1)
(.f64 1/2 (.f64 (pow.f64 x 3) 2))
(*.f64 1 (pow.f64 x 3))
(.f64 2 (.f64 (pow.f64 x 3) 1/2))
(.f64 (.f64 (pow.f64 x 3) 2) 1/2)
(*.f64 4 (/.f64 (pow.f64 x 3) 4))
(.f64 (.f64 (pow.f64 x 3) 4) 1/4)
(.f64 8 (.f64 (pow.f64 x 3) 1/8))
(.f64 1/4 (.f64 (pow.f64 x 3) 4))
(.f64 (.f64 (pow.f64 x 3) 1/2) 2)
(.f64 1/8 (.f64 (pow.f64 x 3) 8))
(.f64 (.f64 (pow.f64 x 3) 8) 1/8)
(.f64 (.f64 (pow.f64 x 3) 1/8) 8)
(.f64 64 (.f64 (pow.f64 x 3) 1/64))
(*.f64 (/.f64 (pow.f64 x 3) 4) 4)
(.f64 (.f64 (pow.f64 x 3) 64) 1/64)
(/.f64 (pow.f64 x 3) 1)
(/.f64 (*.f64 (pow.f64 x 3) 2) 2)
(/.f64 (*.f64 (pow.f64 x 3) 4) 4)
(/.f64 (*.f64 (pow.f64 x 3) 8) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 8))))) 128)
(-.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 0)
(.f64 1/2 (+.f64 x (.f64 4 (+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 5) 1/480)))))
(.f64 1/2 (+.f64 (+.f64 x (.f64 (pow.f64 x 5) 1/120)) (*.f64 (pow.f64 x 3) 1/12)))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 1/12) (+.f64 x (*.f64 (pow.f64 x 5) 1/120))))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 5) 1/120) (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 1)
(.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))))
(.f64 2 (+.f64 (.f64 x 1/4) (+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 5) 1/480))))
(.f64 (+.f64 x (.f64 4 (+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 5) 1/480)))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4))
(.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4))
(.f64 1/4 (+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) 4) (+.f64 x x)))
(.f64 (+.f64 (.f64 x 1/4) (+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 5) 1/480))) 2)
(.f64 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4) 4)
(/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 1)
(/.f64 (+.f64 x (.f64 4 (+.f64 (.f64 (pow.f64 x 3) 1/48) (*.f64 (pow.f64 x 5) 1/480)))) 2)
(/.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 8))))) 128)
(pow.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 0 (*.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 3) 1/48))
(*.f64 1/24 (pow.f64 x 3))
(-.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/12) 2)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/6) 4)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (.f64 (.f64 (pow.f64 x 3) 2) 1/6) 8)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 x 3) 2) 1/6)) 16)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 3) 2) 1/6))) 32)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (pow.f64 x 3) 2) 1/6)))) 64)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 3) 2) 1/6)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 x 3) 2) 1/6))))) 128)
(*.f64 1/24 (pow.f64 x 3))
(pow.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(*.f64 1/240 (pow.f64 x 5))
(+.f64 0 (*.f64 1/240 (pow.f64 x 5)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 (pow.f64 x 5) 1/480) (.f64 (pow.f64 x 5) 1/480))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 (pow.f64 x 5) 1/120) 2)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 (pow.f64 x 5) 1/60) 4)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 (pow.f64 x 5) 1/60)) 8)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 5) 1/60))) 16)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/60)))) 32)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 5) 1/60))))) 64)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/60))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/60)))))) 128)
(*.f64 1/240 (pow.f64 x 5))
(pow.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(+.f64 0 (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (.f64 (pow.f64 x 3) 1/2) (.f64 (pow.f64 x 3) 1/2))
(pow.f64 x 3)
(-.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(.f64 1/2 (.f64 (pow.f64 x 3) 2))
(pow.f64 x 3)
(*.f64 1 (pow.f64 x 3))
(pow.f64 x 3)
(.f64 2 (.f64 (pow.f64 x 3) 1/2))
(pow.f64 x 3)
(.f64 (.f64 (pow.f64 x 3) 2) 1/2)
(pow.f64 x 3)
(*.f64 4 (/.f64 (pow.f64 x 3) 4))
(pow.f64 x 3)
(.f64 (.f64 (pow.f64 x 3) 4) 1/4)
(pow.f64 x 3)
(.f64 8 (.f64 (pow.f64 x 3) 1/8))
(pow.f64 x 3)
(.f64 1/4 (.f64 (pow.f64 x 3) 4))
(pow.f64 x 3)
(.f64 (.f64 (pow.f64 x 3) 1/2) 2)
(pow.f64 x 3)
(.f64 1/8 (.f64 (pow.f64 x 3) 8))
(pow.f64 x 3)
(.f64 (.f64 (pow.f64 x 3) 8) 1/8)
(pow.f64 x 3)
(.f64 (.f64 (pow.f64 x 3) 1/8) 8)
(pow.f64 x 3)
(.f64 64 (.f64 (pow.f64 x 3) 1/64))
(pow.f64 x 3)
(*.f64 (/.f64 (pow.f64 x 3) 4) 4)
(pow.f64 x 3)
(.f64 (.f64 (pow.f64 x 3) 64) 1/64)
(pow.f64 x 3)
(/.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(/.f64 (*.f64 (pow.f64 x 3) 2) 2)
(pow.f64 x 3)
(/.f64 (*.f64 (pow.f64 x 3) 4) 4)
(pow.f64 x 3)
(/.f64 (*.f64 (pow.f64 x 3) 8) 8)
(pow.f64 x 3)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 8)) 16)
(pow.f64 x 3)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 8))) 32)
(pow.f64 x 3)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 8)))) 64)
(pow.f64 x 3)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 8))))) 128)
(pow.f64 x 3)
(-.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 0)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(.f64 1/2 (+.f64 x (.f64 4 (+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 5) 1/480)))))
(.f64 1/2 (+.f64 (+.f64 x (.f64 (pow.f64 x 5) 1/120)) (*.f64 (pow.f64 x 3) 1/12)))
(.f64 1/2 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 1/120) (*.f64 (pow.f64 x 3) 1/12))))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 1/12) (+.f64 x (*.f64 (pow.f64 x 5) 1/120))))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 5) 1/120) (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 1/12) (+.f64 x (*.f64 (pow.f64 x 5) 1/120))))
(.f64 1/2 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 1/120) (*.f64 (pow.f64 x 3) 1/12))))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 5) 1/120) (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 5) 1/120) (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))
(.f64 1/2 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 1/120) (*.f64 (pow.f64 x 3) 1/12))))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 1/12) (+.f64 x (*.f64 (pow.f64 x 5) 1/120))))
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(.f64 2 (+.f64 (.f64 x 1/4) (+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 5) 1/480))))
(.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/48) (+.f64 (.f64 (pow.f64 x 5) 1/480) (.f64 x 1/4))))
(.f64 (+.f64 x (.f64 4 (+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 5) 1/480)))) 1/2)
(.f64 1/2 (+.f64 x (.f64 4 (+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 5) 1/480)))))
(.f64 4 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4) 1/4)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(.f64 1/4 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 4))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(.f64 1/4 (+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) 4) (+.f64 x x)))
(.f64 1/4 (+.f64 x (+.f64 x (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) 4))))
(.f64 (+.f64 (.f64 x 1/4) (+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 5) 1/480))) 2)
(.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/48) (+.f64 (.f64 (pow.f64 x 5) 1/480) (.f64 x 1/4))))
(.f64 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4) 4)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (+.f64 x (.f64 4 (+.f64 (.f64 (pow.f64 x 3) 1/48) (*.f64 (pow.f64 x 5) 1/480)))) 2)
(/.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 4) 4)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 8) 8)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 8)) 16)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 8))) 32)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 8)))) 64)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 8))))) 128)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(pow.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))

localize84.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
✓	0.2b	(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))))
✓	0.2b	(/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
	2.3b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 88 to 43 computations (51.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1478×	`exponential.json-3`
1478×	`rational.json-1`
1478×	`rational.json-2`
1478×	`rational.json-4`
1478×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	183
1	114	183
2	412	87
3	1940	87
4	5108	87

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs

(/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))

(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))))

(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (neg.f64 (/.f64 1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)) (neg.f64 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) 2)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 1/2 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (*.f64 (/.f64 -1 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) 2)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 1 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))))))

simplify163.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1446×	`rational.json-simplify-35`
1292×	`rational.json-simplify-19`
1082×	`rational.json-simplify-51`
986×	`rational.json-simplify-2`
724×	`rational.json-simplify-38`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	242	4757
1	661	4671
2	2116	4617
3	5361	4609

Stop Event

1×	node limit

Counts

129 → 206

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
1/2
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/48 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 17/5760 (pow.f64 x 6)) (*.f64 1/48 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (sin.f64 x))
(.f64 1 (.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x)))) 1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 1/2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) 2))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) 2) 1))
(.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) 1/2)
(.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 (/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))) 1))
(.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(.f64 1/2 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))
(.f64 (/.f64 1 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) 2))
(*.f64 (/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))) (+.f64 (cos.f64 x) -1))
(*.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x)))
(.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (fabs.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (fabs.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (fabs.f64 (-.f64 1 (cos.f64 x))))
(.f64 (fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (fabs.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x))))))
(.f64 (fabs.f64 (.f64 (sin.f64 x) 2)) (fabs.f64 (/.f64 (sin.f64 x) 2)))
(.f64 (fabs.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (fabs.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (fabs.f64 (/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))))
(pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)
(fabs.f64 (*.f64 (sin.f64 x) (sin.f64 x)))
(fabs.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) 0)
(+.f64 0 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))))
(-.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) 0)
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (sin.f64 x) (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))) 2))
(/.f64 (sin.f64 x) (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(/.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) 1)
(/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (neg.f64 (/.f64 1 (sin.f64 x)))))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x))) (.f64 (/.f64 1 (sin.f64 x)) 2))
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))) 2)
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)) (neg.f64 (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) 4)) 8)
(pow.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) 1)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))))
(-.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 2 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) 1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (.f64 (sin.f64 x) 2)) (/.f64 1 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 2) (.f64 (/.f64 1 (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) 1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) 2)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (.f64 (/.f64 1 (.f64 (sin.f64 x) 2)) 1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 -1 (sin.f64 x)))
(.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (.f64 (/.f64 -1 (sin.f64 x)) 1))
(.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) 1)
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(.f64 -1 (.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)) -1)
(.f64 (/.f64 1 (.f64 (sin.f64 x) 2)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4))) (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 1 (sin.f64 x)) 2))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))

Outputs
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 4)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 2/45 (pow.f64 x 6))))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 -1/315 (pow.f64 x 8)))))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 2/45 (pow.f64 x 6)) (*.f64 -1/315 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (.f64 2/45 (pow.f64 x 6)) (.f64 -1/315 (pow.f64 x 8))) (*.f64 -1/3 (pow.f64 x 4))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
1/2
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2)
(+.f64 1/2 (*.f64 (pow.f64 x 2) 1/8))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/48 (pow.f64 x 4))))
(+.f64 (.f64 (pow.f64 x 2) 1/8) (+.f64 1/2 (.f64 (pow.f64 x 4) 1/48)))
(+.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 (pow.f64 x 4) 1/48)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 17/5760 (pow.f64 x 6)) (*.f64 1/48 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (+.f64 (.f64 (pow.f64 x 4) 1/48) (.f64 (pow.f64 x 6) 17/5760)) (*.f64 (pow.f64 x 2) 1/8)))
(+.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/8) (+.f64 (.f64 (pow.f64 x 4) 1/48) (*.f64 (pow.f64 x 6) 17/5760))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (sin.f64 x))
(+.f64 0 (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (sin.f64 x) (sin.f64 x))
(.f64 1 (.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x))))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 1)) (/.f64 2 (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x)))))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x)))) 1))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x))))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) 1)) (/.f64 2 (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x)))))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 1/2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 1/2 (.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (sin.f64 x) (.f64 (.f64 1/2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (sin.f64 x) (.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (.f64 1/2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) 2))
(.f64 (.f64 2 (sin.f64 x)) (/.f64 (sin.f64 x) 2))
(.f64 2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) 2)))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 1/2 (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 (*.f64 2 (sin.f64 x)) 1/2))
(.f64 2 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2)))
(.f64 (sin.f64 x) (.f64 1/2 (*.f64 2 (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) 2) 1))
(.f64 (.f64 2 (sin.f64 x)) (/.f64 (sin.f64 x) 2))
(.f64 2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) 2)))
(.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 2 (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 2 (-.f64 1 (cos.f64 x)))))))
(.f64 2 (.f64 (sin.f64 x) (.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
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(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4))))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 2 (.f64 (sin.f64 x) (.f64 4 (sin.f64 x)))))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 2 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) 1))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 2 (.f64 (sin.f64 x) (.f64 4 (sin.f64 x)))))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (.f64 (sin.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (*.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (sin.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (.f64 (sin.f64 x) 2)) (/.f64 1 (sin.f64 x))))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 2 (.f64 (sin.f64 x) (.f64 4 (sin.f64 x)))))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (.f64 1/2 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 1/2 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 1 (sin.f64 x)))) (/.f64 1 (sin.f64 x))))
(.f64 2 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))))
(.f64 2 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 1 (sin.f64 x))))))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 2 (/.f64 1 (sin.f64 x)))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) 1/2))
(.f64 2 (.f64 (/.f64 1 (sin.f64 x)) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 2) (.f64 (/.f64 1 (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) 1))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 1 (sin.f64 x)))) (/.f64 1 (sin.f64 x))))
(.f64 2 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))))
(.f64 2 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 1 (sin.f64 x))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) 2)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) 2)))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(.f64 1/2 (.f64 (/.f64 1 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (/.f64 1 (sin.f64 x)))))
(.f64 1/2 (.f64 (/.f64 2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) (*.f64 1/2 (/.f64 1 (sin.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (.f64 (/.f64 1 (.f64 (sin.f64 x) 2)) 1))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) 2)))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 1 (.f64 2 (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1/2 (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 -1 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (.f64 (/.f64 -1 (sin.f64 x)) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (+.f64 (cos.f64 x) -1)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(.f64 -1 (.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 -1 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 2)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) 2)))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4))) (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 2 (.f64 (sin.f64 x) (.f64 4 (sin.f64 x)))))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 1 (sin.f64 x)) 2))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 1 (sin.f64 x)))) (/.f64 1 (sin.f64 x))))
(.f64 2 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))))
(.f64 2 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 1 (sin.f64 x))))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))

eval525.0ms (2.5%)

Compiler: Compiled 16202 to 10521 computations (35.1% saved)

prune328.0ms (1.5%)

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	825	21	846
Fresh	11	5	16
Picked	1	0	1
Done	2	3	5
Total	839	29	868

Error

0.1b

Counts

868 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	30.6b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
	31.2b	(/.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 2 (-.f64 1 (cos.f64 x)))))
	29.5b	(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 2 (sin.f64 x))))
	31.2b	(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1))
✓	29.4b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	29.6b	(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
	29.5b	(/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
▶	29.4b	(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
	29.5b	(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
✓	29.5b	(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
	31.3b	(+.f64 -1 (-.f64 1 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))
	60.7b	(+.f64 -1 (-.f64 1 (*.f64 -1/2 x)))
▶	29.6b	(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))
▶	61.3b	(+.f64 -1 1)
	32.2b	(*.f64 (/.f64 4 (/.f64 2 x)) 1/4)
	29.6b	(*.f64 (/.f64 4 (+.f64 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) -1)) 1/4)
	31.5b	(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5))) (*.f64 -1/360 (pow.f64 x 3))))) 1/4)
	31.5b	(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/360 (pow.f64 x 3))))) 1/4)
	31.5b	(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (*.f64 2 (/.f64 1 x)))) 1/4)
	29.5b	(.f64 (/.f64 4 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x))) 1/4)
	29.5b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	30.6b	(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
	30.6b	(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
	29.5b	(*.f64 (sin.f64 x) (+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))))
▶	30.7b	(.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
	30.7b	(.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
	30.7b	(.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))))
▶	26.8b	(*.f64 (sin.f64 x) 1/2)
✓	32.1b	(*.f64 1/2 x)

Compiler

Compiled 780 to 587 computations (24.7% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize2.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
	0.2b	(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
	2.3b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1726×	`rational.json-simplify-35`
1168×	`rational.json-1`
1168×	`rational.json-2`
1168×	`rational.json-3`
1166×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	85	21
2	246	21
3	622	21
4	1688	21
5	4085	21

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 -1 (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (sin.f64 x) 2)) (*.f64 (-.f64 1 (cos.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))))

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1698×	`rational.json-simplify-35`
1474×	`rational.json-simplify-2`
1164×	`rational.json-simplify-53`
878×	`rational.json-simplify-43`
736×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	997
1	161	997
2	304	997
3	635	997
4	2326	997
5	5838	997

Stop Event

1×	node limit

Counts

45 → 42

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (sin.f64 x)) 1/2))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 -1 (*.f64 (sin.f64 x) 2)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2)
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(.f64 (/.f64 -1 (.f64 (sin.f64 x) 2)) (*.f64 (-.f64 1 (cos.f64 x)) -2))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) 2)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 2)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (sin.f64 x)) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 -1 (*.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 -1 (.f64 (sin.f64 x) 2)) (*.f64 (-.f64 1 (cos.f64 x)) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
✓	0.2b	(+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)
✓	1.7b	(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))
	2.3b	(+.f64 (cos.f64 x) -1)

Compiler

Compiled 67 to 42 computations (37.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`rational.json-1`
1528×	`rational.json-2`
1528×	`rational.json-4`
1528×	`rational.json-3`
1520×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	105
1	112	99
2	260	87
3	596	81
4	1469	79
5	4708	75

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs

(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))

(+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)

(+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (/.f64 1/2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 1/2) (/.f64 2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (sin.f64 x) -2) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (*.f64 4 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 8) (*.f64 8 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (neg.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 8) (neg.f64 (sin.f64 x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2) -2))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) (*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)))))

simplify267.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1716×	`rational.json-simplify-35`
956×	`rational.json-simplify-2`
812×	`rational.json-simplify-51`
770×	`rational.json-simplify-41`
670×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	4059
1	468	3975
2	1150	3369
3	3412	3369
4	6163	3369
5	7592	3369

Stop Event

1×	node limit

Counts

127 → 132

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
-1
(-.f64 (*.f64 -1/2 x) 1)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 1)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 -1/240 (pow.f64 x 5)))) 1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(-.f64 1 (+.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(-.f64 1 (-.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 0 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(-.f64 0 (-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2) -2))
(-.f64 -2 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(.f64 (.f64 (+.f64 -1 (cos.f64 x)) 2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2)
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 1/4)
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(.f64 1/2 (/.f64 (.f64 (+.f64 -1 (cos.f64 x)) 2) (neg.f64 (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) 2)
(.f64 (.f64 (+.f64 -1 (cos.f64 x)) 1/2) (/.f64 2 (neg.f64 (sin.f64 x))))
(.f64 1/4 (/.f64 (.f64 (+.f64 -1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))))
(/.f64 -1 (/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x))))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (.f64 (+.f64 -1 (cos.f64 x)) 2) (.f64 (sin.f64 x) -2))
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) -2) (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
(/.f64 (.f64 (+.f64 -1 (cos.f64 x)) 4) (.f64 4 (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (+.f64 -1 (cos.f64 x)) 8) (.f64 8 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) 16)
(/.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (neg.f64 (sin.f64 x))) 2)
(/.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))) 4)
(/.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 8) (neg.f64 (sin.f64 x))) 8)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(neg.f64 (-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2) -2))
(-.f64 -1 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2))
(-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (neg.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2)) 1)
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 0)
(-.f64 0 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(*.f64 -1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(*.f64 1 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -1)
(*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)
(.f64 2 (.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2))
(.f64 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2) 1/2)
(*.f64 4 (/.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))
(.f64 (.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))
(.f64 1/2 (neg.f64 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2)))
(.f64 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) -2)
(.f64 (.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) 2)
(/.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -1)
(/.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2) -2)
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2) 2)
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) -4)
(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) -8)
(/.f64 (.f64 2 (.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) (.f64 2 (.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 16)
(/.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2)) 2)
(/.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 4)
(/.f64 (neg.f64 (.f64 2 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 8)
(pow.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)
(neg.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(-.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) 1)
(-.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 0)
(-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2) -1)
(*.f64 1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)
(.f64 2 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2))
(.f64 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))
(.f64 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2))
(.f64 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) 2)
(*.f64 (+.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2) 2)
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) (.f64 2 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 16)
(pow.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) 1))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) 1)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 1 (*.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) 1) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) 1)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
-1
(-.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 x -1/2) -1)
(+.f64 -1 (*.f64 x -1/2))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 1)
(+.f64 (.f64 x -1/2) (-.f64 (.f64 (pow.f64 x 3) -1/24) 1))
(+.f64 -1 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/24)))
(+.f64 (+.f64 -1 (.f64 x -1/2)) (.f64 (pow.f64 x 3) -1/24))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 -1/240 (pow.f64 x 5)))) 1)
(+.f64 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 5) -1/240)) (-.f64 (*.f64 (pow.f64 x 3) -1/24) 1))
(+.f64 -1 (+.f64 (.f64 x -1/2) (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 (pow.f64 x 5) -1/240))))
(+.f64 -1 (+.f64 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/24)) (*.f64 (pow.f64 x 5) -1/240)))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 1 (+.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 1 (-.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 0 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 0 (-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2) -2))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 -2 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (sin.f64 x)))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1)
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (+.f64 -1 (cos.f64 x)) 2) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2)
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 1/4)
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 1/2 (/.f64 (.f64 (+.f64 -1 (cos.f64 x)) 2) (neg.f64 (sin.f64 x))))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) 2)
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (+.f64 -1 (cos.f64 x)) 1/2) (/.f64 2 (neg.f64 (sin.f64 x))))
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0))
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(.f64 1/2 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2))
(+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(.f64 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) 2)
(+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (+.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)
(+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2) 2)
(+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 4)
(+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 8)
(+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) (.f64 2 (.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 16)
(+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(pow.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)
(+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
✓	0.2b	(/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))
	2.3b	(-.f64 1 (cos.f64 x))
✓	16.9b	(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))

Compiler

Compiled 49 to 24 computations (51% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`rational.json-simplify-35`
1138×	`rational.json-simplify-54`
880×	`exponential.json-3`
880×	`rational.json-1`
880×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	105
1	98	93
2	259	79
3	682	73
4	2469	73

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

Inputs

(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))

(/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))

(*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))

Outputs

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

simplify171.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1562×	`rational.json-simplify-54`
1274×	`rational.json-simplify-35`
1160×	`rational.json-simplify-2`
680×	`rational.json-simplify-38`
602×	`rational.json-simplify-40`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	422	7693
1	1326	7357
2	4494	7217

Stop Event

1×	node limit

Counts

229 → 280

Calls

Call 1

Inputs
1/2
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/48 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 17/5760 (pow.f64 x 6)) (*.f64 1/48 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 x 2))
(+.f64 1/3 (/.f64 1 (pow.f64 x 2)))
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/15 (pow.f64 x 2))))
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 2/189 (pow.f64 x 4)) (.f64 1/15 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)
(/.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (-.f64 0 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(/.f64 2 (.f64 2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 2 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))))
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 2 (+.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (/.f64 2 (sin.f64 x)) (/.f64 (*.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (-.f64 1 (cos.f64 x))))
(/.f64 -1 (-.f64 0 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x)))) 2)
(/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)) (+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 4 (sin.f64 x)) (/.f64 (*.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 4 (sin.f64 x)) (+.f64 (/.f64 (.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (.f64 (sin.f64 x) 2))
(/.f64 4 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 4 (+.f64 (.f64 2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(/.f64 4 (+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))))
(/.f64 4 (+.f64 (/.f64 (.f64 (sin.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (.f64 (sin.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) (.f64 (sin.f64 x) 4))
(/.f64 8 (+.f64 (/.f64 (.f64 (sin.f64 x) 4) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (.f64 (sin.f64 x) 4) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) 4) 4)
(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 4 (sin.f64 x))) (+.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 2 (/.f64 4 (sin.f64 x))) (+.f64 (/.f64 (.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)))
(/.f64 (neg.f64 (/.f64 2 (sin.f64 x))) (+.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (.f64 (.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 4)))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 4)) 8)
(/.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 (sin.f64 x) (*.f64 2 (neg.f64 (sin.f64 x)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)) (.f64 (sin.f64 x) 2))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (sin.f64 x) (sin.f64 x))) 4)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (sin.f64 x))) (fabs.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) 2)) 1/2)
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))) (*.f64 (sin.f64 x) 4))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (+.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))) (neg.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (sin.f64 x) (sin.f64 x)))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) 4)) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) 4))) 16)
(/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (sin.f64 x)))) (*.f64 2 (fabs.f64 (sin.f64 x))))
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) 2))) 1)
(/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 2 (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 2 (+.f64 (cos.f64 x) -1))) (+.f64 (.f64 (sin.f64 x) (.f64 2 (neg.f64 (sin.f64 x)))) (.f64 (sin.f64 x) (.f64 2 (neg.f64 (sin.f64 x))))))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4)) (-.f64 0 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))
(/.f64 (neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))) (neg.f64 (.f64 (sin.f64 x) 2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (neg.f64 (.f64 (sin.f64 x) 2)))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (sin.f64 x)))) (-.f64 0 (fabs.f64 (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (sin.f64 x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)
(+.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 0)
(+.f64 0 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 0)
(.f64 1 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (sin.f64 x) (/.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (sin.f64 x) (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) 1)
(.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))))
(.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 2 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))))
(.f64 2 (/.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) 4))
(.f64 2 (fabs.f64 (/.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 x) 2))))
(.f64 2 (fabs.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))))))
(.f64 2 (fabs.f64 (/.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) 4)))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))))
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) 1/2))
(*.f64 -1 (/.f64 (/.f64 -1 (sin.f64 x)) (sin.f64 x)))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) 1/2)
(.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (fabs.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))))
(.f64 (/.f64 4 (sin.f64 x)) (/.f64 1 (.f64 (sin.f64 x) 4)))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (sin.f64 x)))
(.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (/.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))))
(.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))))))
(.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))
(.f64 1/2 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 2 (sin.f64 x)))
(.f64 (/.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x)) (sin.f64 x))
(*.f64 (fabs.f64 (/.f64 1 (sin.f64 x))) (fabs.f64 (/.f64 1 (sin.f64 x))))
(*.f64 (fabs.f64 (/.f64 2 (sin.f64 x))) (fabs.f64 (/.f64 1/2 (sin.f64 x))))
(.f64 (fabs.f64 (/.f64 2 (sin.f64 x))) (fabs.f64 (.f64 (/.f64 1 (sin.f64 x)) 1/2)))
(*.f64 (fabs.f64 (/.f64 1/2 (sin.f64 x))) (fabs.f64 (/.f64 2 (sin.f64 x))))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 x))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 1/2) (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (sin.f64 x)) -1)
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 x) 2)) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))) (*.f64 (sin.f64 x) 2))
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))) 2)
(.f64 (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))) (sin.f64 x))
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (/.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) 4) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (/.f64 4 (sin.f64 x)))
(.f64 (.f64 2 (fabs.f64 (sin.f64 x))) (fabs.f64 (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))))))
(.f64 (fabs.f64 (/.f64 4 (sin.f64 x))) (fabs.f64 (/.f64 1 (.f64 (sin.f64 x) 4))))
(.f64 (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))
(pow.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1)
(neg.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (sin.f64 x)))
(fabs.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))
(fabs.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (sin.f64 x)))
(fabs.f64 (neg.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(fabs.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))))
(fabs.f64 (/.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))))
(fabs.f64 (/.f64 (/.f64 1 (sin.f64 x)) (fabs.f64 (sin.f64 x))))
(fabs.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (fabs.f64 (sin.f64 x))))
(fabs.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 2 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 2 (+.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 2 (+.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 2 (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 2 (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 2 (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)) (+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 2 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (+.f64 (/.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 4 (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) 4) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 4 (sin.f64 x)) (+.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 2)
(/.f64 4 (/.f64 (*.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x))))
(/.f64 4 (+.f64 (/.f64 (.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 4 (+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (sin.f64 x)) (-.f64 0 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)
(/.f64 8 (+.f64 (/.f64 (.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 4 (sin.f64 x))) (+.f64 (/.f64 2 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 2 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 2 (/.f64 4 (sin.f64 x))) (+.f64 (/.f64 (.f64 (sin.f64 x) 4) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (sin.f64 x) 4) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (sin.f64 x) 4))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 2 (sin.f64 x))) (+.f64 (/.f64 (sin.f64 x) (neg.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (neg.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(/.f64 (.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4)))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (.f64 2 (.f64 (sin.f64 x) 4)))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8)
(/.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 2 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)) 2)
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (sin.f64 x)) 4)
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (sin.f64 x))) 2)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) 1/2)
(/.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (fabs.f64 (sin.f64 x))) (fabs.f64 (sin.f64 x)))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (.f64 (sin.f64 x) 2)))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))) 4)
(/.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) 16)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (sin.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (sin.f64 x))) 8)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (sin.f64 x)))) 4)
(/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2))) 1)
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (fabs.f64 (sin.f64 x))) (/.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (fabs.f64 (sin.f64 x)))) (*.f64 2 (fabs.f64 (sin.f64 x))))
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (neg.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (sin.f64 x) (.f64 2 (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 -1 (sin.f64 x)))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2))) (neg.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (fabs.f64 (sin.f64 x)))) (-.f64 0 (fabs.f64 (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (-.f64 0 (.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)

Outputs
1/2
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2)
(+.f64 1/2 (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/48 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 x 4)) (.f64 1/8 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/48 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 17/5760 (pow.f64 x 6)) (*.f64 1/48 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (+.f64 (.f64 1/48 (pow.f64 x 4)) (.f64 17/5760 (pow.f64 x 6))) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 x 4)) (*.f64 17/5760 (pow.f64 x 6)))))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 x 4)) (+.f64 (.f64 17/5760 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 x 2))
(+.f64 1/3 (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 2)) 1/3)
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/15 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 2) 1/15) 1/3))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1/3 (*.f64 (pow.f64 x 2) 1/15)))
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 2/189 (pow.f64 x 4)) (.f64 1/15 (pow.f64 x 2)))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 (pow.f64 x 2) 1/15) (.f64 (pow.f64 x 4) 2/189)) 1/3))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (.f64 (pow.f64 x 2) 1/15) (.f64 (pow.f64 x 4) 2/189))))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (-.f64 0 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 2 (.f64 2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
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(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 2 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (+.f64 (/.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (/.f64 4 (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) 4) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (/.f64 4 (sin.f64 x)) (+.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 4 (/.f64 (*.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 4 (+.f64 (/.f64 (.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 4 (+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (-.f64 0 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 8 (+.f64 (/.f64 (.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 4 (sin.f64 x))) (+.f64 (/.f64 2 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 2 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 4 (sin.f64 x))) (+.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 4 (sin.f64 x)) (+.f64 (/.f64 (/.f64 2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 2 (/.f64 4 (sin.f64 x))) (+.f64 (/.f64 (.f64 (sin.f64 x) 4) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (sin.f64 x) 4) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 2 (/.f64 4 (sin.f64 x))) (+.f64 (/.f64 (.f64 4 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (.f64 4 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 2 (/.f64 (/.f64 4 (sin.f64 x)) (+.f64 (/.f64 (.f64 4 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (.f64 4 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(.f64 (/.f64 4 (sin.f64 x)) (/.f64 2 (.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (sin.f64 x) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 2 (sin.f64 x))) (+.f64 (/.f64 (sin.f64 x) (neg.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (neg.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(/.f64 (neg.f64 (/.f64 2 (sin.f64 x))) (+.f64 (/.f64 (sin.f64 x) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(/.f64 (/.f64 -2 (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 (neg.f64 x)))) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 (neg.f64 x))))))
(/.f64 (/.f64 -2 (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))
(/.f64 (.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (.f64 2 (.f64 (sin.f64 x) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 2 (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (sin.f64 x)) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (sin.f64 x))) 2)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (fabs.f64 (sin.f64 x))) (fabs.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) 16)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (sin.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (sin.f64 x))) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (sin.f64 x)))) 4)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (fabs.f64 (sin.f64 x))) (/.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (fabs.f64 (sin.f64 x)))) (*.f64 2 (fabs.f64 (sin.f64 x))))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (fabs.f64 (sin.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (fabs.f64 (sin.f64 x)))) (*.f64 2 (fabs.f64 (sin.f64 x))))
(/.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (sin.f64 x)))) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (sin.f64 x))))) (*.f64 2 (fabs.f64 (sin.f64 x))))
(/.f64 (.f64 (/.f64 (sin.f64 x) (fabs.f64 (sin.f64 x))) (.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 2 (fabs.f64 (sin.f64 x))))
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (neg.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (sin.f64 x) (.f64 2 (neg.f64 (sin.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 -1 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2))) (neg.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (fabs.f64 (sin.f64 x)))) (-.f64 0 (fabs.f64 (sin.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (-.f64 0 (.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

eval323.0ms (1.5%)

Compiler: Compiled 12022 to 7394 computations (38.5% saved)

prune419.0ms (2%)

Pruning

32 alts after pruning (24 fresh and 8 done)

	Pruned	Kept	Total
New	714	12	726
Fresh	9	12	21
Picked	0	1	1
Done	0	7	7
Total	723	32	755

Error

0.1b

Counts

755 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	30.6b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
	29.5b	(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 2 (sin.f64 x))))
	31.2b	(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1))
✓	29.4b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶	29.6b	(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
	30.7b	(/.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 4 (sin.f64 x))) (+.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
	30.6b	(/.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 x)))
	29.5b	(/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
✓	29.4b	(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
▶	32.2b	(/.f64 1 (/.f64 2 x))
	29.6b	(/.f64 1 (+.f64 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) -1))
▶	31.5b	(/.f64 1 (+.f64 (.f64 x -1/6) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5))) (.f64 -1/360 (pow.f64 x 3)))))
	31.5b	(/.f64 1 (+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 -1/360 (pow.f64 x 3)))))
	31.5b	(/.f64 1 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x))))
	29.5b	(/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
	29.5b	(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
	29.5b	(-.f64 1 (-.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))
✓	29.5b	(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
	31.3b	(+.f64 -1 (-.f64 1 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))
	60.7b	(+.f64 -1 (-.f64 1 (*.f64 -1/2 x)))
✓	29.6b	(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))
✓	61.3b	(+.f64 -1 1)
▶	26.9b	(*.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) 1/2)
	29.5b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	55.3b	(*.f64 (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1) 1/2)
	30.6b	(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
	29.5b	(*.f64 (sin.f64 x) (+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))))
✓	30.7b	(.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
	30.7b	(.f64 (sin.f64 x) (.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))))
▶	30.7b	(.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))))
✓	26.8b	(*.f64 (sin.f64 x) 1/2)
✓	32.1b	(*.f64 1/2 x)

Compiler

Compiled 785 to 591 computations (24.7% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(/.f64 2 (sin.f64 x))
✓	0.2b	(/.f64 2 (/.f64 2 (sin.f64 x)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 2 (sin.f64 x))
0.0ms	x	@	-inf	(/.f64 2 (sin.f64 x))
0.0ms	x	@	0	(/.f64 2 (sin.f64 x))
0.0ms	x	@	0	(/.f64 2 (/.f64 2 (sin.f64 x)))
0.0ms	x	@	inf	(/.f64 2 (/.f64 2 (sin.f64 x)))

rewrite114.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`rational.json-1`
1056×	`rational.json-2`
1056×	`rational.json-4`
1056×	`rational.json-3`
1052×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	61	16
2	164	16
3	399	16
4	1040	16
5	3192	16

Stop Event

1×	node limit

Counts

2 → 132

Calls

Call 1

Inputs
(/.f64 2 (/.f64 2 (sin.f64 x)))
(/.f64 2 (sin.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (sin.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (sin.f64 x) 1/4) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 4 (sin.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (/.f64 (/.f64 4 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sin.f64 x) (/.f64 2 (sin.f64 x))) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (sin.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) 1/4)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sin.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sin.f64 x)) (*.f64 (*.f64 (sin.f64 x) 1/4) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sin.f64 x)) (/.f64 1/2 (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) (*.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) 1/4) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 2 (/.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) (+.f64 1 (/.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4)) (/.f64 4 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2)) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/4) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/4) (+.f64 2 (*.f64 2 (/.f64 (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (/.f64 4 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sin.f64 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x)))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x)))) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x)))) (/.f64 4 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (/.f64 4 (sin.f64 x)) (sin.f64 x))) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4)) (*.f64 (sin.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (*.f64 2 (/.f64 (sin.f64 x) (sin.f64 x))) 2) 1) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4))) 1) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (fabs.f64 (sin.f64 x))) (*.f64 1/2 (fabs.f64 (sin.f64 x)))) (*.f64 (*.f64 1/2 (fabs.f64 (sin.f64 x))) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x))) (*.f64 (*.f64 1/4 (fabs.f64 (sin.f64 x))) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (PI.f64) x))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (/.f64 2 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 (sin.f64 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1/2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sin.f64 x)) (/.f64 1/2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sin.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sin.f64 x)) (*.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 (sin.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 (sin.f64 x)) 4) (*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/4) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 2 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (/.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (*.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 (sin.f64 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 4 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (/.f64 4 (sin.f64 x)) (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 4 (sin.f64 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 2 (*.f64 2 (/.f64 (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/4) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 2 (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (neg.f64 (/.f64 4 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (/.f64 2 (sin.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4))) (*.f64 (sin.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4))) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))) (*.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (*.f64 2 (/.f64 (sin.f64 x) (sin.f64 x))) 2) 1) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) 1) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (fabs.f64 (sin.f64 x))) (/.f64 1 (fabs.f64 (sin.f64 x)))) (*.f64 (/.f64 1 (fabs.f64 (sin.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (fabs.f64 (sin.f64 x))) (/.f64 2 (fabs.f64 (sin.f64 x)))) (*.f64 (/.f64 1/2 (fabs.f64 (sin.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 (sin.f64 x)))))))

simplify100.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1902×	`rational.json-simplify-35`
1046×	`rational.json-simplify-39`
1036×	`rational.json-simplify-43`
630×	`rational.json-simplify-38`
628×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	1446
1	590	1418
2	3190	1406
3	6595	1406

Stop Event

1×	node limit

Counts

148 → 158

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(/.f64 2 x)
(+.f64 (.f64 1/3 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 7/180 (pow.f64 x 3)) (+.f64 (.f64 1/3 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 7/180 (pow.f64 x 3)) (+.f64 (.f64 31/7560 (pow.f64 x 5)) (+.f64 (.f64 1/3 x) (.f64 2 (/.f64 1 x)))))
(+.f64 (sin.f64 x) 0)
(+.f64 0 (sin.f64 x))
(+.f64 (.f64 (sin.f64 x) 1/2) (.f64 (sin.f64 x) 1/2))
(+.f64 -1 (-.f64 (sin.f64 x) -1))
(+.f64 (-.f64 (sin.f64 x) -1) -1)
(-.f64 (sin.f64 x) 0)
(-.f64 0 (neg.f64 (sin.f64 x)))
(.f64 2 (.f64 (sin.f64 x) 1/2))
(.f64 2 (+.f64 (.f64 (sin.f64 x) 1/4) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 4 (sin.f64 x)) (sin.f64 x)))))
(*.f64 (sin.f64 x) 1)
(.f64 (sin.f64 x) (.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2)))
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))
(.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (/.f64 (/.f64 4 (sin.f64 x)) (sin.f64 x))))
(*.f64 1 (sin.f64 x))
(.f64 1 (.f64 (/.f64 (sin.f64 x) (/.f64 2 (sin.f64 x))) (/.f64 2 (sin.f64 x))))
(.f64 4 (.f64 (sin.f64 x) 1/4))
(.f64 4 (.f64 (.f64 (.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) 1/4)) (/.f64 2 (sin.f64 x))))
(.f64 (.f64 2 (sin.f64 x)) 1/2)
(.f64 (.f64 2 (sin.f64 x)) (.f64 (.f64 (sin.f64 x) 1/4) (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 4 (sin.f64 x)) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4)))
(.f64 (/.f64 4 (sin.f64 x)) (/.f64 1/2 (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))
(.f64 (.f64 (sin.f64 x) 4) 1/4)
(.f64 (.f64 (sin.f64 x) 4) (.f64 (.f64 (*.f64 (sin.f64 x) 1/2) 1/4) (/.f64 2 (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) -1)
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))
(.f64 (.f64 (sin.f64 x) 1/2) 2)
(.f64 (.f64 (sin.f64 x) 1/2) (*.f64 2 (/.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) 1/2) (+.f64 1 (/.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4)) (/.f64 4 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) 8) 1/8)
(.f64 1/2 (.f64 2 (sin.f64 x)))
(.f64 1/2 (.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 2 (sin.f64 x))))
(*.f64 -1 (neg.f64 (sin.f64 x)))
(.f64 -1 (/.f64 (neg.f64 (/.f64 2 (sin.f64 x))) (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))
(.f64 (.f64 (sin.f64 x) -2) -1/2)
(.f64 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2)) (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) 1/4) 4)
(.f64 (.f64 (sin.f64 x) 1/4) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4)))
(.f64 (.f64 (sin.f64 x) 1/4) (+.f64 2 (*.f64 2 (/.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (.f64 2 (/.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) 1/2))
(.f64 1/4 (.f64 (sin.f64 x) 4))
(*.f64 1/4 (/.f64 (/.f64 4 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))
(.f64 -1/2 (.f64 (sin.f64 x) -2))
(.f64 1/8 (.f64 (sin.f64 x) 8))
(*.f64 (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 1/2 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 4 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) 1/4)
(*.f64 (/.f64 1/2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 2 (sin.f64 x)))
(.f64 (/.f64 2 (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x)))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 1 (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x)))) (/.f64 2 (sin.f64 x)))
(.f64 (/.f64 (neg.f64 (/.f64 2 (sin.f64 x))) (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x)))) -1)
(.f64 (/.f64 1/2 (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x)))) (/.f64 4 (sin.f64 x)))
(*.f64 (/.f64 2 (/.f64 (/.f64 4 (sin.f64 x)) (sin.f64 x))) (/.f64 2 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/4)) (*.f64 (sin.f64 x) 1/4))
(.f64 (+.f64 (/.f64 (.f64 2 (/.f64 (sin.f64 x) (sin.f64 x))) 2) 1) (*.f64 (sin.f64 x) 1/2))
(.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/4)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/4))) 1) (.f64 (sin.f64 x) 1/2))
(.f64 (+.f64 (.f64 1/2 (fabs.f64 (sin.f64 x))) (.f64 1/2 (fabs.f64 (sin.f64 x)))) (.f64 (*.f64 1/2 (fabs.f64 (sin.f64 x))) (/.f64 2 (sin.f64 x))))
(.f64 (+.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x))) (.f64 (*.f64 1/4 (fabs.f64 (sin.f64 x))) (/.f64 2 (sin.f64 x))))
(pow.f64 (sin.f64 x) 1)
(neg.f64 (neg.f64 (sin.f64 x)))
(neg.f64 (/.f64 -2 (/.f64 2 (sin.f64 x))))
(sin.f64 x)
(sin.f64 (-.f64 (PI.f64) x))
(+.f64 (/.f64 2 (sin.f64 x)) 0)
(+.f64 0 (/.f64 2 (sin.f64 x)))
(+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(+.f64 -1 (-.f64 (/.f64 2 (sin.f64 x)) -1))
(+.f64 (-.f64 (/.f64 2 (sin.f64 x)) -1) -1)
(-.f64 (/.f64 2 (sin.f64 x)) 0)
(-.f64 0 (neg.f64 (/.f64 2 (sin.f64 x))))
(*.f64 2 (/.f64 1 (sin.f64 x)))
(.f64 2 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (sin.f64 x) (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(.f64 (sin.f64 x) (/.f64 1/2 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4))))
(.f64 (sin.f64 x) (/.f64 1 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))))
(.f64 (sin.f64 x) (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 2 (sin.f64 x)) 1)
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(*.f64 1 (/.f64 2 (sin.f64 x)))
(.f64 1 (.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)) (sin.f64 x)))
(*.f64 4 (/.f64 1/2 (sin.f64 x)))
(.f64 4 (.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (sin.f64 x)))
(.f64 (.f64 2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 2 (sin.f64 x)) (/.f64 1/2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/2))))
(*.f64 (/.f64 4 (sin.f64 x)) 1/2)
(.f64 (/.f64 4 (sin.f64 x)) (.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (/.f64 2 (sin.f64 x)) 4) 1/4)
(.f64 (.f64 (/.f64 2 (sin.f64 x)) 4) (.f64 (.f64 (/.f64 1 (sin.f64 x)) 1/4) (sin.f64 x)))
(*.f64 (neg.f64 (/.f64 2 (sin.f64 x))) -1)
(*.f64 (/.f64 1 (sin.f64 x)) 2)
(.f64 (/.f64 1 (sin.f64 x)) (.f64 2 (/.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (sin.f64 x)))))
(.f64 (.f64 (sin.f64 x) 1/2) (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/4))))
(.f64 (.f64 (sin.f64 x) 1/2) (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/2))))
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (.f64 2 (sin.f64 x)))
(.f64 (.f64 (/.f64 2 (sin.f64 x)) 8) 1/8)
(*.f64 1/2 (/.f64 4 (sin.f64 x)))
(.f64 1/2 (.f64 (/.f64 (/.f64 4 (sin.f64 x)) (sin.f64 x)) (sin.f64 x)))
(*.f64 -1 (neg.f64 (/.f64 2 (sin.f64 x))))
(.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))))
(*.f64 (neg.f64 (/.f64 4 (sin.f64 x))) -1/2)
(.f64 (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (sin.f64 x))
(*.f64 (/.f64 1/2 (sin.f64 x)) 4)
(*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 2 (.f64 2 (/.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (.f64 (sin.f64 x) 1/4) (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/4))))
(.f64 (.f64 2 (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(.f64 1/4 (.f64 (/.f64 2 (sin.f64 x)) 4))
(.f64 1/4 (/.f64 (.f64 2 (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/4))))
(*.f64 -1/2 (neg.f64 (/.f64 4 (sin.f64 x))))
(.f64 1/8 (.f64 (/.f64 2 (sin.f64 x)) 8))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/4))) (.f64 (sin.f64 x) 1/4))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/4))) (.f64 (sin.f64 x) 1/2))
(.f64 (/.f64 (.f64 2 (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/4))) 1/4)
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4))) (sin.f64 x))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/2))) (.f64 (sin.f64 x) 1/2))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))) (sin.f64 x))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))) -1)
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/2))) (.f64 2 (sin.f64 x)))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(*.f64 (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 1/2 (sin.f64 x)))
(.f64 (+.f64 (/.f64 (.f64 2 (/.f64 (sin.f64 x) (sin.f64 x))) 2) 1) (/.f64 1 (sin.f64 x)))
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) 1) (/.f64 1 (sin.f64 x)))
(.f64 (+.f64 (/.f64 1 (fabs.f64 (sin.f64 x))) (/.f64 1 (fabs.f64 (sin.f64 x)))) (.f64 (/.f64 1 (fabs.f64 (sin.f64 x))) (sin.f64 x)))
(.f64 (+.f64 (/.f64 2 (fabs.f64 (sin.f64 x))) (/.f64 2 (fabs.f64 (sin.f64 x)))) (.f64 (/.f64 1/2 (fabs.f64 (sin.f64 x))) (sin.f64 x)))
(pow.f64 (/.f64 2 (sin.f64 x)) 1)
(neg.f64 (neg.f64 (/.f64 2 (sin.f64 x))))
(neg.f64 (/.f64 -2 (sin.f64 x)))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 1/120 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 x (*.f64 -1/5040 (pow.f64 x 7)))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(/.f64 2 x)
(+.f64 (.f64 1/3 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 7/180 (pow.f64 x 3)) (+.f64 (.f64 1/3 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (.f64 x 1/3) (.f64 2 (/.f64 1 x))) (*.f64 (pow.f64 x 3) 7/180))
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(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/4)) (*.f64 (sin.f64 x) 1/4))
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(.f64 (+.f64 (/.f64 (.f64 2 (/.f64 (sin.f64 x) (sin.f64 x))) 2) 1) (*.f64 (sin.f64 x) 1/2))
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(-.f64 (/.f64 2 (sin.f64 x)) 0)
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(-.f64 0 (neg.f64 (/.f64 2 (sin.f64 x))))
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(*.f64 2 (/.f64 1 (sin.f64 x)))
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(.f64 2 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 2 (sin.f64 x))
(.f64 (sin.f64 x) (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(/.f64 2 (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 1/2 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4))))
(/.f64 2 (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 1 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))))
(/.f64 2 (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))))
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(*.f64 (/.f64 2 (sin.f64 x)) 1)
(/.f64 2 (sin.f64 x))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(/.f64 2 (sin.f64 x))
(*.f64 1 (/.f64 2 (sin.f64 x)))
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(.f64 1 (.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)) (sin.f64 x)))
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(*.f64 4 (/.f64 1/2 (sin.f64 x)))
(/.f64 2 (sin.f64 x))
(.f64 4 (.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (sin.f64 x)))
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(.f64 (.f64 2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
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(.f64 (.f64 2 (sin.f64 x)) (/.f64 1/2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/2))))
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(*.f64 (/.f64 4 (sin.f64 x)) 1/2)
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(.f64 (/.f64 4 (sin.f64 x)) (.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))
(/.f64 2 (sin.f64 x))
(.f64 (.f64 (/.f64 2 (sin.f64 x)) 4) 1/4)
(/.f64 2 (sin.f64 x))
(.f64 (.f64 (/.f64 2 (sin.f64 x)) 4) (.f64 (.f64 (/.f64 1 (sin.f64 x)) 1/4) (sin.f64 x)))
(/.f64 2 (sin.f64 x))
(*.f64 (neg.f64 (/.f64 2 (sin.f64 x))) -1)
(/.f64 2 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) 2)
(/.f64 2 (sin.f64 x))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 2 (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 2 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (sin.f64 x)))))
(/.f64 2 (sin.f64 x))
(.f64 (.f64 (sin.f64 x) 1/2) (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/4))))
(/.f64 2 (sin.f64 x))
(.f64 (.f64 (sin.f64 x) 1/2) (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/2))))
(/.f64 2 (sin.f64 x))
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (.f64 2 (sin.f64 x)))
(/.f64 2 (sin.f64 x))
(.f64 (.f64 (/.f64 2 (sin.f64 x)) 8) 1/8)
(/.f64 2 (sin.f64 x))
(*.f64 1/2 (/.f64 4 (sin.f64 x)))
(/.f64 2 (sin.f64 x))
(.f64 1/2 (.f64 (/.f64 (/.f64 4 (sin.f64 x)) (sin.f64 x)) (sin.f64 x)))
(/.f64 2 (sin.f64 x))
(*.f64 -1 (neg.f64 (/.f64 2 (sin.f64 x))))
(/.f64 2 (sin.f64 x))
(.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))))
(/.f64 2 (sin.f64 x))
(*.f64 (neg.f64 (/.f64 4 (sin.f64 x))) -1/2)
(/.f64 2 (sin.f64 x))
(.f64 (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (sin.f64 x))
(/.f64 2 (sin.f64 x))
(*.f64 (/.f64 1/2 (sin.f64 x)) 4)
(/.f64 2 (sin.f64 x))
(*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
(/.f64 2 (sin.f64 x))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 2 (.f64 2 (/.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 2 (sin.f64 x))
(.f64 (.f64 (sin.f64 x) 1/4) (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/4))))
(/.f64 2 (sin.f64 x))
(.f64 (.f64 2 (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(/.f64 2 (sin.f64 x))
(.f64 1/4 (.f64 (/.f64 2 (sin.f64 x)) 4))
(/.f64 2 (sin.f64 x))
(.f64 1/4 (/.f64 (.f64 2 (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/4))))
(/.f64 2 (sin.f64 x))
(*.f64 -1/2 (neg.f64 (/.f64 4 (sin.f64 x))))
(/.f64 2 (sin.f64 x))
(.f64 1/8 (.f64 (/.f64 2 (sin.f64 x)) 8))
(/.f64 2 (sin.f64 x))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/4))) (.f64 (sin.f64 x) 1/4))
(/.f64 2 (sin.f64 x))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/4))) (.f64 (sin.f64 x) 1/2))
(/.f64 2 (sin.f64 x))
(.f64 (/.f64 (.f64 2 (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/4))) 1/4)
(/.f64 2 (sin.f64 x))
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/4))) (sin.f64 x))
(/.f64 2 (sin.f64 x))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/2))) (.f64 (sin.f64 x) 1/2))
(/.f64 2 (sin.f64 x))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))) (sin.f64 x))
(/.f64 2 (sin.f64 x))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))) -1)
(/.f64 2 (sin.f64 x))
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/2))) (.f64 2 (sin.f64 x)))
(/.f64 2 (sin.f64 x))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(/.f64 2 (sin.f64 x))
(*.f64 (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 1/2 (sin.f64 x)))
(/.f64 2 (sin.f64 x))
(.f64 (+.f64 (/.f64 (.f64 2 (/.f64 (sin.f64 x) (sin.f64 x))) 2) 1) (/.f64 1 (sin.f64 x)))
(/.f64 2 (sin.f64 x))
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) 1) (/.f64 1 (sin.f64 x)))
(/.f64 2 (sin.f64 x))
(.f64 (+.f64 (/.f64 1 (fabs.f64 (sin.f64 x))) (/.f64 1 (fabs.f64 (sin.f64 x)))) (.f64 (/.f64 1 (fabs.f64 (sin.f64 x))) (sin.f64 x)))
(.f64 (/.f64 1 (fabs.f64 (sin.f64 x))) (.f64 (sin.f64 x) (+.f64 (/.f64 1 (fabs.f64 (sin.f64 x))) (/.f64 1 (fabs.f64 (sin.f64 x))))))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (fabs.f64 (sin.f64 x))) (/.f64 1 (fabs.f64 (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 2 (fabs.f64 (sin.f64 x))) (fabs.f64 (sin.f64 x))))
(.f64 (+.f64 (/.f64 2 (fabs.f64 (sin.f64 x))) (/.f64 2 (fabs.f64 (sin.f64 x)))) (.f64 (/.f64 1/2 (fabs.f64 (sin.f64 x))) (sin.f64 x)))
(.f64 (+.f64 (/.f64 2 (fabs.f64 (sin.f64 x))) (/.f64 2 (fabs.f64 (sin.f64 x)))) (.f64 (sin.f64 x) (/.f64 1/2 (fabs.f64 (sin.f64 x)))))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 1/2 (fabs.f64 (sin.f64 x))) (/.f64 2 (fabs.f64 (sin.f64 x)))))
(pow.f64 (/.f64 2 (sin.f64 x)) 1)
(/.f64 2 (sin.f64 x))
(neg.f64 (neg.f64 (/.f64 2 (sin.f64 x))))
(/.f64 2 (sin.f64 x))
(neg.f64 (/.f64 -2 (sin.f64 x)))
(/.f64 2 (sin.f64 x))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 2 x))

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 1 (/.f64 2 x))
0.0ms	x	@	inf	(/.f64 1 (/.f64 2 x))
0.0ms	x	@	0	(/.f64 1 (/.f64 2 x))

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`rational.json-1`
1176×	`rational.json-2`
1176×	`rational.json-4`
1176×	`rational.json-3`
1170×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	61	7
2	159	7
3	335	7
4	745	7
5	3255	7

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

Inputs
(/.f64 1 (/.f64 2 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/4) (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 x (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 x 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 x) (*.f64 1/2 (*.f64 x (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 x) (/.f64 1 (*.f64 (/.f64 2 x) (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 x x)) (/.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/4)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 8) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/8) (/.f64 (*.f64 x 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 x x)) (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (*.f64 x 1/4))) (/.f64 (*.f64 x 1/2) (*.f64 (/.f64 2 x) (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/4) (*.f64 2 (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (/.f64 2 x) (*.f64 x 1/2))) (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 4) x) (*.f64 x 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x x) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 x (*.f64 x 1/4))) (/.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 4 (*.f64 x x))) (/.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/2) (*.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 2 (*.f64 x (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (/.f64 -2 x)))))))

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1668×	`rational.json-simplify-35`
878×	`rational.json-simplify-39`
850×	`rational.json-simplify-43`
754×	`rational.json-simplify-51`
704×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	616
1	219	616
2	679	580
3	2992	568
4	6267	568

Stop Event

1×	node limit

Counts

70 → 65

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 (*.f64 x 1/2) 0)
(+.f64 0 (*.f64 x 1/2))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) 2)))
(+.f64 (.f64 x 1/4) (.f64 x 1/4))
(-.f64 (*.f64 x 1/2) 0)
(-.f64 0 (/.f64 (neg.f64 x) 2))
(.f64 1 (.f64 x 1/2))
(.f64 2 (.f64 x 1/4))
(*.f64 x 1/2)
(.f64 (/.f64 2 x) (.f64 x (*.f64 x 1/4)))
(.f64 (.f64 x 1/2) 1)
(.f64 (.f64 x 1/2) (/.f64 x x))
(.f64 4 (/.f64 (.f64 x 1/2) 4))
(*.f64 4 (/.f64 x 8))
(*.f64 (+.f64 x x) 1/4)
(.f64 (/.f64 4 x) (.f64 1/2 (.f64 x (.f64 x 1/4))))
(.f64 (/.f64 4 x) (/.f64 1 (.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 4 (.f64 x x))))
(.f64 (.f64 x 4) 1/8)
(*.f64 1/2 x)
(*.f64 (neg.f64 x) -1/2)
(*.f64 -1 (/.f64 (neg.f64 x) 2))
(.f64 -1 (/.f64 (/.f64 -2 x) (/.f64 4 (.f64 x x))))
(*.f64 -1 (/.f64 x -2))
(.f64 (/.f64 4 (.f64 x x)) (/.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 2 x))
(.f64 (.f64 x 8) 1/16)
(.f64 (/.f64 1 x) (.f64 x (*.f64 x 1/2)))
(*.f64 1/4 (+.f64 x x))
(*.f64 (/.f64 (neg.f64 x) 2) -1)
(.f64 (.f64 x -2) -1/4)
(.f64 (.f64 x (*.f64 x 1/2)) (/.f64 1 x))
(.f64 (.f64 x 1/8) (/.f64 (*.f64 x 4) x))
(.f64 (.f64 2 (/.f64 x x)) (*.f64 x 1/4))
(.f64 (/.f64 2 (.f64 x (.f64 x 1/4))) (/.f64 (.f64 x 1/2) (*.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 1/8 (.f64 x 4))
(.f64 (.f64 x 1/4) 2)
(.f64 (.f64 x 1/4) (*.f64 2 (/.f64 x x)))
(*.f64 -1/2 (neg.f64 x))
(.f64 (+.f64 1 (.f64 (/.f64 2 x) (.f64 x 1/2))) (.f64 x 1/4))
(.f64 1/16 (.f64 x 8))
(.f64 -1/4 (.f64 x -2))
(.f64 (/.f64 (.f64 x 4) x) (*.f64 x 1/8))
(.f64 (/.f64 x x) (.f64 x 1/2))
(.f64 (/.f64 x (.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 4 (*.f64 x x)))
(.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (.f64 x x))) -1)
(*.f64 (/.f64 x -2) -1)
(.f64 (.f64 1/2 (.f64 x (.f64 x 1/4))) (/.f64 4 x))
(.f64 (/.f64 (.f64 x 1/2) 4) 4)
(.f64 (/.f64 1 (.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 4 x))
(.f64 (/.f64 1/2 (/.f64 4 (.f64 x x))) (/.f64 4 x))
(.f64 (/.f64 (.f64 x 1/2) (.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 2 (.f64 x (*.f64 x 1/4))))
(*.f64 (/.f64 x 8) 4)
(pow.f64 (*.f64 x 1/2) 1)
(neg.f64 (/.f64 (neg.f64 x) 2))
(neg.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))
(neg.f64 (/.f64 x -2))
(neg.f64 (/.f64 1 (/.f64 -2 x)))

Outputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 (*.f64 x 1/2) 0)
(*.f64 1/2 x)
(+.f64 0 (*.f64 x 1/2))
(*.f64 1/2 x)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) 2)))
(*.f64 1/2 x)
(+.f64 (.f64 x 1/4) (.f64 x 1/4))
(*.f64 1/2 x)
(-.f64 (*.f64 x 1/2) 0)
(*.f64 1/2 x)
(-.f64 0 (/.f64 (neg.f64 x) 2))
(*.f64 1/2 x)
(.f64 1 (.f64 x 1/2))
(*.f64 1/2 x)
(.f64 2 (.f64 x 1/4))
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(.f64 (/.f64 2 x) (.f64 x (*.f64 x 1/4)))
(*.f64 1/2 x)
(.f64 (.f64 x 1/2) 1)
(*.f64 1/2 x)
(.f64 (.f64 x 1/2) (/.f64 x x))
(*.f64 1/2 x)
(.f64 4 (/.f64 (.f64 x 1/2) 4))
(*.f64 1/2 x)
(*.f64 4 (/.f64 x 8))
(*.f64 1/2 x)
(*.f64 (+.f64 x x) 1/4)
(*.f64 1/2 x)
(.f64 (/.f64 4 x) (.f64 1/2 (.f64 x (.f64 x 1/4))))
(*.f64 1/2 x)
(.f64 (/.f64 4 x) (/.f64 1 (.f64 (/.f64 2 x) (/.f64 4 x))))
(*.f64 1/2 x)
(.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 4 (.f64 x x))))
(*.f64 1/2 x)
(.f64 (.f64 x 4) 1/8)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 (neg.f64 x) -1/2)
(*.f64 1/2 x)
(*.f64 -1 (/.f64 (neg.f64 x) 2))
(*.f64 1/2 x)
(.f64 -1 (/.f64 (/.f64 -2 x) (/.f64 4 (.f64 x x))))
(*.f64 1/2 x)
(*.f64 -1 (/.f64 x -2))
(*.f64 1/2 x)
(.f64 (/.f64 4 (.f64 x x)) (/.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x))))
(*.f64 1/2 x)
(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 2 x))
(*.f64 1/2 x)
(.f64 (.f64 x 8) 1/16)
(*.f64 1/2 x)
(.f64 (/.f64 1 x) (.f64 x (*.f64 x 1/2)))
(*.f64 1/2 x)
(*.f64 1/4 (+.f64 x x))
(*.f64 1/2 x)
(*.f64 (/.f64 (neg.f64 x) 2) -1)
(*.f64 1/2 x)
(.f64 (.f64 x -2) -1/4)
(*.f64 1/2 x)
(.f64 (.f64 x (*.f64 x 1/2)) (/.f64 1 x))
(*.f64 1/2 x)
(.f64 (.f64 x 1/8) (/.f64 (*.f64 x 4) x))
(*.f64 1/2 x)
(.f64 (.f64 2 (/.f64 x x)) (*.f64 x 1/4))
(*.f64 1/2 x)
(.f64 (/.f64 2 (.f64 x (.f64 x 1/4))) (/.f64 (.f64 x 1/2) (*.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 (/.f64 2 (.f64 x (.f64 x 1/4))) (.f64 1/2 (/.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x)))))
(.f64 (/.f64 2 (.f64 x (.f64 x 1/4))) (.f64 (*.f64 1/2 x) (/.f64 (/.f64 x 2) (/.f64 4 x))))
(.f64 (/.f64 8 (.f64 x x)) (/.f64 x (/.f64 (/.f64 16 x) x)))
(.f64 (/.f64 8 (.f64 x x)) (/.f64 x (/.f64 16 (*.f64 x x))))
(.f64 (/.f64 8 (.f64 x x)) (.f64 (.f64 x 1/16) (*.f64 x x)))
(.f64 1/8 (.f64 x 4))
(*.f64 1/2 x)
(.f64 (.f64 x 1/4) 2)
(*.f64 1/2 x)
(.f64 (.f64 x 1/4) (*.f64 2 (/.f64 x x)))
(*.f64 1/2 x)
(*.f64 -1/2 (neg.f64 x))
(*.f64 1/2 x)
(.f64 (+.f64 1 (.f64 (/.f64 2 x) (.f64 x 1/2))) (.f64 x 1/4))
(.f64 x (.f64 1/4 (+.f64 1 (.f64 x (.f64 1/2 (/.f64 2 x))))))
(.f64 x (.f64 1/4 (+.f64 1 (/.f64 x x))))
(.f64 1/16 (.f64 x 8))
(*.f64 1/2 x)
(.f64 -1/4 (.f64 x -2))
(*.f64 1/2 x)
(.f64 (/.f64 (.f64 x 4) x) (*.f64 x 1/8))
(*.f64 1/2 x)
(.f64 (/.f64 x x) (.f64 x 1/2))
(*.f64 1/2 x)
(.f64 (/.f64 x (.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 4 (*.f64 x x)))
(*.f64 1/2 x)
(.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (.f64 x x))) -1)
(*.f64 1/2 x)
(*.f64 (/.f64 x -2) -1)
(*.f64 1/2 x)
(.f64 (.f64 1/2 (.f64 x (.f64 x 1/4))) (/.f64 4 x))
(*.f64 1/2 x)
(.f64 (/.f64 (.f64 x 1/2) 4) 4)
(*.f64 1/2 x)
(.f64 (/.f64 1 (.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 4 x))
(*.f64 1/2 x)
(.f64 (/.f64 1/2 (/.f64 4 (.f64 x x))) (/.f64 4 x))
(*.f64 1/2 x)
(.f64 (/.f64 (.f64 x 1/2) (.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 2 (.f64 x (*.f64 x 1/4))))
(.f64 (/.f64 2 (.f64 x (.f64 x 1/4))) (.f64 1/2 (/.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x)))))
(.f64 (/.f64 2 (.f64 x (.f64 x 1/4))) (.f64 (*.f64 1/2 x) (/.f64 (/.f64 x 2) (/.f64 4 x))))
(.f64 (/.f64 8 (.f64 x x)) (/.f64 x (/.f64 (/.f64 16 x) x)))
(.f64 (/.f64 8 (.f64 x x)) (/.f64 x (/.f64 16 (*.f64 x x))))
(.f64 (/.f64 8 (.f64 x x)) (.f64 (.f64 x 1/16) (*.f64 x x)))
(*.f64 (/.f64 x 8) 4)
(*.f64 1/2 x)
(pow.f64 (*.f64 x 1/2) 1)
(*.f64 1/2 x)
(neg.f64 (/.f64 (neg.f64 x) 2))
(*.f64 1/2 x)
(neg.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))
(*.f64 1/2 x)
(neg.f64 (/.f64 x -2))
(*.f64 1/2 x)
(neg.f64 (/.f64 1 (/.f64 -2 x)))
(*.f64 1/2 x)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(+.f64 (cos.f64 x) -2)
✓	0.2b	(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
✓	2.5b	(-.f64 -1 (+.f64 (cos.f64 x) -2))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 -1 (+.f64 (cos.f64 x) -2))
0.0ms	x	@	0	(+.f64 (cos.f64 x) -2)
0.0ms	x	@	0	(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
0.0ms	x	@	inf	(+.f64 (cos.f64 x) -2)
0.0ms	x	@	-inf	(-.f64 -1 (+.f64 (cos.f64 x) -2))

rewrite135.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`rational.json-1`
1488×	`rational.json-2`
1488×	`rational.json-4`
1488×	`rational.json-3`
1480×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	79	55
2	194	51
3	462	51
4	1163	43
5	4115	43

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

Inputs
(-.f64 -1 (+.f64 (cos.f64 x) -2))
(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
(+.f64 (cos.f64 x) -2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 1 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (+.f64 -1 (cos.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 -1 (cos.f64 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 -2 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 2 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (-.f64 1 (cos.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (+.f64 -1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 -1 (cos.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (+.f64 -1 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (cos.f64 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 -2 (+.f64 -1 (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (*.f64 2 (/.f64 1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (+.f64 -1 (cos.f64 x))) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (/.f64 1 (sin.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 -1 (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 -2 (+.f64 -1 (cos.f64 x)))) (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 -2 (+.f64 -1 (cos.f64 x)))) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) (/.f64 1 (*.f64 (sin.f64 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 -1 (cos.f64 x))) (/.f64 1/2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 -1 (cos.f64 x))) (/.f64 1 (*.f64 -2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 -1 (cos.f64 x))) (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 -2 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 -2 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 2 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 -1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/4) (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 2 (/.f64 1 (sin.f64 x)))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 1/2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -1 (+.f64 -1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 -1 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 1 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (*.f64 (sin.f64 x) (/.f64 -2 (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (/.f64 -1 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -2 (+.f64 -1 (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (sin.f64 x))) (*.f64 2 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) (/.f64 -2 (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (/.f64 -2 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) 8)) (*.f64 (-.f64 1 (cos.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 -2 (sin.f64 x))) (*.f64 2 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))) (*.f64 2 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -2 (+.f64 -1 (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 x) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 x) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 x) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 x) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -2) 4)) (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 x) -2) 1)))))

simplify116.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1644×	`rational.json-simplify-61`
1416×	`rational.json-simplify-53`
1152×	`rational.json-simplify-35`
1124×	`rational.json-simplify-2`
1054×	`rational.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	267	4439
1	567	4439
2	1744	4221
3	5622	4041

Stop Event

1×	node limit

Counts

163 → 188

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
-1
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))) 1)
(-.f64 (cos.f64 x) 2)
(-.f64 (cos.f64 x) 2)
(-.f64 (cos.f64 x) 2)
(-.f64 (cos.f64 x) 2)
(-.f64 (cos.f64 x) 2)
(-.f64 (cos.f64 x) 2)
(-.f64 (cos.f64 x) 2)
(-.f64 (cos.f64 x) 2)
(+.f64 -1 (+.f64 1 (-.f64 1 (cos.f64 x))))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (+.f64 1 (-.f64 1 (cos.f64 x))) -1)
(*.f64 -1 (+.f64 -1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(.f64 (.f64 -2 (+.f64 -1 (cos.f64 x))) 1/2)
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(*.f64 (+.f64 -1 (cos.f64 x)) -1)
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) 4))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) 1/8)
(.f64 (.f64 2 (+.f64 -1 (cos.f64 x))) -1/2)
(.f64 1/2 (.f64 -2 (+.f64 -1 (cos.f64 x))))
(.f64 -1/2 (.f64 2 (+.f64 -1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(.f64 1/8 (.f64 (-.f64 1 (cos.f64 x)) 8))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (*.f64 -2 (+.f64 -1 (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(/.f64 (+.f64 -1 (cos.f64 x)) -1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) 8)
(/.f64 (*.f64 2 (+.f64 -1 (cos.f64 x))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8)) 16)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) -4)
(/.f64 (neg.f64 (*.f64 2 (+.f64 -1 (cos.f64 x)))) 2)
(/.f64 (neg.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 -1 (cos.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 0 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(.f64 -1 (/.f64 (.f64 -2 (+.f64 -1 (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) 2))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (*.f64 2 (/.f64 1 (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 1/2 (/.f64 2 (sin.f64 x))))
(.f64 (sin.f64 x) (/.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 -2 (+.f64 -1 (cos.f64 x))) (/.f64 1/2 (sin.f64 x)))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(.f64 (.f64 -2 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (/.f64 1 (sin.f64 x)) 1/4))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 -1 (+.f64 -1 (cos.f64 x)))))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (sin.f64 x) (/.f64 -2 (+.f64 -1 (cos.f64 x)))) (/.f64 1 (.f64 2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (sin.f64 x) (/.f64 -2 (+.f64 -1 (cos.f64 x)))) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))
(.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)))
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))
(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/4)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) (/.f64 1 (*.f64 (sin.f64 x) 8)))
(.f64 (.f64 2 (+.f64 -1 (cos.f64 x))) (/.f64 1/2 (neg.f64 (sin.f64 x))))
(.f64 (.f64 2 (+.f64 -1 (cos.f64 x))) (/.f64 1 (*.f64 -2 (sin.f64 x))))
(.f64 (.f64 2 (+.f64 -1 (cos.f64 x))) (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))))
(.f64 1/2 (.f64 -2 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 2) (.f64 2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 -2 (+.f64 -1 (cos.f64 x))))
(.f64 (.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1)
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 2)
(.f64 (/.f64 2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 -1 (cos.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 2 (/.f64 1 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 2 (sin.f64 x)))
(*.f64 1/4 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 -2 (+.f64 -1 (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 1/4) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (sin.f64 x)))) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 1/2 (/.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 1/2 (/.f64 1/2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2))
(*.f64 (/.f64 1 (/.f64 -1 (+.f64 -1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 -1 (+.f64 -1 (cos.f64 x))))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 1 (+.f64 -1 (cos.f64 x))))
(.f64 (/.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (sin.f64 x))
(.f64 (/.f64 1 (.f64 2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (.f64 (sin.f64 x) (/.f64 -2 (+.f64 -1 (cos.f64 x)))))
(.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (/.f64 -1 (+.f64 -1 (cos.f64 x))))
(.f64 (/.f64 2 (.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (.f64 -2 (+.f64 -1 (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) 2))) -1)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)) 4)
(.f64 (/.f64 1/2 (neg.f64 (sin.f64 x))) (.f64 2 (+.f64 -1 (cos.f64 x))))
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) (/.f64 -2 (+.f64 -1 (cos.f64 x)))))
(.f64 (/.f64 (sin.f64 x) (.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (/.f64 -2 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)
(.f64 (/.f64 1 (.f64 (sin.f64 x) 8)) (*.f64 (-.f64 1 (cos.f64 x)) 8))
(.f64 (/.f64 1 (.f64 -2 (sin.f64 x))) (*.f64 2 (+.f64 -1 (cos.f64 x))))
(.f64 (/.f64 1 (neg.f64 (.f64 (sin.f64 x) 2))) (*.f64 2 (+.f64 -1 (cos.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))
(neg.f64 (/.f64 (.f64 -2 (+.f64 -1 (cos.f64 x))) (neg.f64 (.f64 (sin.f64 x) 2))))
(-.f64 (+.f64 (cos.f64 x) -2) 0)
(*.f64 (+.f64 (cos.f64 x) -2) 1)
(*.f64 1 (+.f64 (cos.f64 x) -2))
(.f64 2 (.f64 (+.f64 (cos.f64 x) -2) 1/2))
(.f64 (.f64 (+.f64 (cos.f64 x) -2) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 x) -2) 4))
(.f64 (.f64 (+.f64 (cos.f64 x) -2) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (cos.f64 x) -2) 2))
(.f64 (.f64 (+.f64 (cos.f64 x) -2) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (cos.f64 x) -2) 4))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -2) 4) 4)
(/.f64 (+.f64 (cos.f64 x) -2) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -2) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -2) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) -2) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) -2) 4)) (.f64 2 (.f64 (+.f64 (cos.f64 x) -2) 4))) 16)
(pow.f64 (+.f64 (cos.f64 x) -2) 1)

Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 8))) (.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2 x) (.f64 17/40320 (pow.f64 x 7))) (.f64 1/240 (pow.f64 x 5))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
-1
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 (pow.f64 x 2) -1/2) -1)
(+.f64 -1 (*.f64 (pow.f64 x 2) -1/2))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))) 1)
(+.f64 (.f64 (pow.f64 x 4) 1/24) (+.f64 (.f64 (pow.f64 x 2) -1/2) -1))
(+.f64 -1 (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 (+.f64 -1 (.f64 (pow.f64 x 2) -1/2)) (.f64 (pow.f64 x 4) 1/24))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))) 1)
(+.f64 (+.f64 (.f64 (pow.f64 x 4) 1/24) (.f64 (pow.f64 x 6) -1/720)) (+.f64 (*.f64 (pow.f64 x 2) -1/2) -1))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (+.f64 (.f64 (pow.f64 x 4) 1/24) (*.f64 (pow.f64 x 6) -1/720)) 1))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 (.f64 (pow.f64 x 4) 1/24) (+.f64 (*.f64 (pow.f64 x 6) -1/720) -1)))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 -1 (+.f64 (.f64 (pow.f64 x 4) 1/24) (*.f64 (pow.f64 x 6) -1/720))))
(-.f64 (cos.f64 x) 2)
(-.f64 (cos.f64 x) 2)
(-.f64 (cos.f64 x) 2)
(-.f64 (cos.f64 x) 2)
(-.f64 (cos.f64 x) 2)
(-.f64 (cos.f64 x) 2)
(-.f64 (cos.f64 x) 2)
(-.f64 (cos.f64 x) 2)
(+.f64 -1 (+.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (+.f64 1 (-.f64 1 (cos.f64 x))) -1)
(-.f64 1 (cos.f64 x))
(*.f64 -1 (+.f64 -1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 -2 (+.f64 -1 (cos.f64 x))) 1/2)
(-.f64 1 (cos.f64 x))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(-.f64 1 (cos.f64 x))
(*.f64 (+.f64 -1 (cos.f64 x)) -1)
(-.f64 1 (cos.f64 x))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) 4))
(-.f64 1 (cos.f64 x))
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(.f64 (/.f64 1 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 (.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (.f64 2 (sin.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(.f64 2 (.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 1/2 (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(*.f64 (/.f64 1 (/.f64 -1 (+.f64 -1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 -1 (+.f64 -1 (cos.f64 x))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 1 (+.f64 -1 (cos.f64 x))))
(.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 -1 (.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))
(.f64 (sin.f64 x) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(.f64 (/.f64 1 (.f64 2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (.f64 (sin.f64 x) (/.f64 -2 (+.f64 -1 (cos.f64 x)))))
(.f64 (.f64 (sin.f64 x) (/.f64 -2 (+.f64 (cos.f64 x) -1))) (/.f64 1/2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 -2 (+.f64 (cos.f64 x) -1)) (.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (/.f64 1/2 (sin.f64 x)))) (sin.f64 x)))
(.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 1/2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(.f64 (sin.f64 x) (.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (/.f64 -1 (+.f64 -1 (cos.f64 x))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 2 (.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 (.f64 -2 (+.f64 -1 (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) 2))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1/2 (neg.f64 (sin.f64 x))) (.f64 2 (+.f64 -1 (cos.f64 x))))
(.f64 2 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 (neg.f64 (sin.f64 x)))))
(.f64 2 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1/2 (sin.f64 x))))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 2 (/.f64 -1/2 (sin.f64 x))))
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) (/.f64 -2 (+.f64 -1 (cos.f64 x)))))
(.f64 (.f64 (sin.f64 x) (/.f64 -2 (+.f64 (cos.f64 x) -1))) (/.f64 1/2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 -2 (+.f64 (cos.f64 x) -1)) (.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (/.f64 1/2 (sin.f64 x)))) (sin.f64 x)))
(.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 1/2 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(.f64 (sin.f64 x) (.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 (sin.f64 x) (.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (/.f64 -2 (+.f64 -1 (cos.f64 x))))
(.f64 (/.f64 -2 (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 -2 (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 2 (sin.f64 x)))))
(*.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2)))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 8)) (*.f64 (-.f64 1 (cos.f64 x)) 8))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (.f64 -2 (sin.f64 x))) (*.f64 2 (+.f64 -1 (cos.f64 x))))
(.f64 2 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 (neg.f64 (sin.f64 x)))))
(.f64 2 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1/2 (sin.f64 x))))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 2 (/.f64 -1/2 (sin.f64 x))))
(.f64 (/.f64 1 (neg.f64 (.f64 (sin.f64 x) 2))) (*.f64 2 (+.f64 -1 (cos.f64 x))))
(.f64 2 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 (neg.f64 (sin.f64 x)))))
(.f64 2 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1/2 (sin.f64 x))))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 2 (/.f64 -1/2 (sin.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(neg.f64 (/.f64 (.f64 -2 (+.f64 -1 (cos.f64 x))) (neg.f64 (.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (+.f64 (cos.f64 x) -2) 0)
(+.f64 (cos.f64 x) -2)
(*.f64 (+.f64 (cos.f64 x) -2) 1)
(+.f64 (cos.f64 x) -2)
(*.f64 1 (+.f64 (cos.f64 x) -2))
(+.f64 (cos.f64 x) -2)
(.f64 2 (.f64 (+.f64 (cos.f64 x) -2) 1/2))
(+.f64 (cos.f64 x) -2)
(.f64 (.f64 (+.f64 (cos.f64 x) -2) 2) 1/2)
(+.f64 (cos.f64 x) -2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 x) -2) 4))
(+.f64 (cos.f64 x) -2)
(.f64 (.f64 (+.f64 (cos.f64 x) -2) 4) 1/4)
(+.f64 (cos.f64 x) -2)
(.f64 1/2 (.f64 (+.f64 (cos.f64 x) -2) 2))
(+.f64 (cos.f64 x) -2)
(.f64 (.f64 (+.f64 (cos.f64 x) -2) 1/2) 2)
(+.f64 (cos.f64 x) -2)
(.f64 1/4 (.f64 (+.f64 (cos.f64 x) -2) 4))
(+.f64 (cos.f64 x) -2)
(*.f64 (/.f64 (+.f64 (cos.f64 x) -2) 4) 4)
(+.f64 (cos.f64 x) -2)
(/.f64 (+.f64 (cos.f64 x) -2) 1)
(+.f64 (cos.f64 x) -2)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -2) 2) 2)
(+.f64 (cos.f64 x) -2)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -2) 4) 4)
(+.f64 (cos.f64 x) -2)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) -2) 4)) 8)
(+.f64 (cos.f64 x) -2)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) -2) 4)) (.f64 2 (.f64 (+.f64 (cos.f64 x) -2) 4))) 16)
(+.f64 (cos.f64 x) -2)
(pow.f64 (+.f64 (cos.f64 x) -2) 1)
(+.f64 (cos.f64 x) -2)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 -1/360 (pow.f64 x 3))
✓	0.1b	(/.f64 1 (+.f64 (.f64 x -1/6) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5))) (.f64 -1/360 (pow.f64 x 3)))))
✓	0.3b	(*.f64 -1/15120 (pow.f64 x 5))
✓	0.3b	(*.f64 x -1/6)

Compiler

Compiled 108 to 87 computations (19.4% saved)

series6.0ms (0%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(*.f64 x -1/6)
0.0ms	x	@	inf	(/.f64 1 (+.f64 (.f64 x -1/6) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5))) (.f64 -1/360 (pow.f64 x 3)))))
0.0ms	x	@	-inf	(*.f64 -1/360 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 -1/15120 (pow.f64 x 5))
0.0ms	x	@	inf	(*.f64 -1/360 (pow.f64 x 3))

rewrite195.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`rational.json-simplify-35`
1178×	`rational.json-1`
1178×	`rational.json-2`
1178×	`rational.json-4`
1178×	`rational.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	100
1	151	100
2	301	100
3	665	100
4	1770	94
5	4569	94

Stop Event

1×	node limit

Counts

4 → 53

Calls

Call 1

Inputs
(*.f64 x -1/6)
(*.f64 -1/15120 (pow.f64 x 5))
(/.f64 1 (+.f64 (.f64 x -1/6) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5))) (.f64 -1/360 (pow.f64 x 3)))))
(*.f64 -1/360 (pow.f64 x 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -1/12) (.f64 x -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x -1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x -2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 x -2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 x -2/3))) (.f64 2 (.f64 2 (.f64 x -2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -1/6) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/15120 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/15120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 5) -1/30240) (.f64 (pow.f64 x 5) -1/30240))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -1/15120 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/15120 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 5) -1/7560) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 5) -1/3780) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 5) -1/3780)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) -1/3780))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) -1/3780))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) -1/3780)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/15120 (pow.f64 x 5)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) (/.f64 1/2 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1/2 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) (/.f64 1 (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) (/.f64 1/2 (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (/.f64 1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 2 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) 1/2) (/.f64 2 (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 4 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))))) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))))) (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 x -1/6) (/.f64 2 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/360 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/360 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -1/360 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/360 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) -1/180) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) -1/90) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 3) -1/90)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) -1/90))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) -1/90))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) -1/90)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/360 (pow.f64 x 3)) 1)))))

simplify119.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1800×	`rational.json-simplify-35`
884×	`rational.json-simplify-19`
810×	`rational.json-simplify-51`
624×	`rational.json-simplify-2`
604×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	2945
1	332	2945
2	635	2945
3	1547	2945
4	4268	2945
5	7134	2945

Stop Event

1×	node limit

Counts

77 → 107

Calls

Call 1

Inputs
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 -15120 (pow.f64 x 5))
(-.f64 (.f64 635040 (/.f64 1 (pow.f64 x 7))) (.f64 15120 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 11430720 (/.f64 1 (pow.f64 x 9))) (.f64 635040 (/.f64 1 (pow.f64 x 7)))) (*.f64 15120 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 11430720 (/.f64 1 (pow.f64 x 9))) (.f64 635040 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 15120 (/.f64 1 (pow.f64 x 5))) (.f64 2537619840 (/.f64 1 (pow.f64 x 11)))))
(/.f64 -15120 (pow.f64 x 5))
(-.f64 (.f64 635040 (/.f64 1 (pow.f64 x 7))) (.f64 15120 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 11430720 (/.f64 1 (pow.f64 x 9))) (.f64 635040 (/.f64 1 (pow.f64 x 7)))) (*.f64 15120 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 11430720 (/.f64 1 (pow.f64 x 9))) (.f64 635040 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 15120 (/.f64 1 (pow.f64 x 5))) (.f64 2537619840 (/.f64 1 (pow.f64 x 11)))))
(+.f64 (*.f64 x -1/6) 0)
(+.f64 0 (*.f64 x -1/6))
(+.f64 (.f64 x -1/12) (.f64 x -1/12))
(-.f64 (*.f64 x -1/6) 0)
(/.f64 (*.f64 x -1/6) 1)
(/.f64 (*.f64 x -1/3) 2)
(/.f64 (*.f64 x -2/3) 4)
(/.f64 (.f64 2 (.f64 x -2/3)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 x -2/3))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 x -2/3))) (.f64 2 (.f64 2 (.f64 x -2/3)))) 32)
(pow.f64 (*.f64 x -1/6) 1)
(+.f64 (*.f64 -1/15120 (pow.f64 x 5)) 0)
(+.f64 0 (*.f64 -1/15120 (pow.f64 x 5)))
(+.f64 (.f64 (pow.f64 x 5) -1/30240) (.f64 (pow.f64 x 5) -1/30240))
(-.f64 (*.f64 -1/15120 (pow.f64 x 5)) 0)
(/.f64 (*.f64 -1/15120 (pow.f64 x 5)) 1)
(/.f64 (*.f64 (pow.f64 x 5) -1/7560) 2)
(/.f64 (*.f64 (pow.f64 x 5) -1/3780) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 5) -1/3780)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 5) -1/3780))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) -1/3780))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) -1/3780)))) 32)
(pow.f64 (*.f64 -1/15120 (pow.f64 x 5)) 1)
(+.f64 (/.f64 1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 x -1/6) (/.f64 2 x))))) 0)
(+.f64 0 (/.f64 1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 x -1/6) (/.f64 2 x))))))
(+.f64 (/.f64 1/2 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) (/.f64 1/2 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))))
(-.f64 (/.f64 1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 x -1/6) (/.f64 2 x))))) 0)
(.f64 1 (/.f64 1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))))
(.f64 2 (/.f64 1/2 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))))
(.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) (/.f64 1 (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 x -1/6) (/.f64 2 x)))))))
(.f64 (/.f64 1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) 1)
(.f64 (.f64 2 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) (/.f64 1/2 (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))))))
(.f64 4 (/.f64 (/.f64 1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) 4))
(.f64 (/.f64 2 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) 1/2)
(.f64 (/.f64 4 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) 1/4)
(.f64 1/2 (/.f64 2 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))))
(.f64 (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) 1/2) (/.f64 2 (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))))))
(.f64 1/4 (/.f64 4 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))))
(.f64 (/.f64 1/2 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) 2)
(.f64 (/.f64 1 (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))))) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 x -1/6) (/.f64 2 x)))))
(.f64 (/.f64 2 (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))))) (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) 1/2))
(pow.f64 (/.f64 1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 x -1/6) (/.f64 2 x))))) 1)
(neg.f64 (/.f64 -1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 x -1/6) (/.f64 2 x))))))
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 -1/360 (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720))
(-.f64 (*.f64 -1/360 (pow.f64 x 3)) 0)
(/.f64 (*.f64 -1/360 (pow.f64 x 3)) 1)
(/.f64 (*.f64 (pow.f64 x 3) -1/180) 2)
(/.f64 (*.f64 (pow.f64 x 3) -1/90) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) -1/90)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) -1/90))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) -1/90))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) -1/90)))) 32)
(pow.f64 (*.f64 -1/360 (pow.f64 x 3)) 1)

Outputs
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
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(.f64 (/.f64 4 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) 1/4)
(.f64 (/.f64 4 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (pow.f64 x 5) -1/15120)))) 1/4)
(.f64 (/.f64 4 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (+.f64 (.f64 -1/6 x) (/.f64 2 x))))) 1/4)
(.f64 (/.f64 4 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (/.f64 2 x) (.f64 (pow.f64 x 5) -1/15120))))) 1/4)
(.f64 (/.f64 4 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (/.f64 2 x))))) 1/4)
(.f64 1/2 (/.f64 2 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))))
(.f64 1/2 (/.f64 2 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (pow.f64 x 5) -1/15120)))))
(.f64 1/2 (/.f64 2 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (+.f64 (.f64 -1/6 x) (/.f64 2 x))))))
(.f64 1/2 (/.f64 2 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (/.f64 2 x) (.f64 (pow.f64 x 5) -1/15120))))))
(.f64 1/2 (/.f64 2 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (/.f64 2 x))))))
(.f64 (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) 1/2) (/.f64 2 (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))))))
(.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (pow.f64 x 5) -1/15120)))) (/.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (pow.f64 x 5) -1/15120))) (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (pow.f64 x 5) -1/15120))))))
(.f64 1/2 (.f64 (/.f64 (/.f64 2 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (+.f64 (.f64 -1/6 x) (/.f64 2 x))))) (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (+.f64 (.f64 -1/6 x) (/.f64 2 x))))) (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (+.f64 (*.f64 -1/6 x) (/.f64 2 x))))))
(.f64 1/2 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (/.f64 2 x) (.f64 (pow.f64 x 5) -1/15120)))) (/.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (/.f64 2 x) (.f64 (pow.f64 x 5) -1/15120)))) (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (/.f64 2 x) (.f64 (pow.f64 x 5) -1/15120))))))))
(.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (/.f64 2 x))))) (/.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (/.f64 2 x)))) (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (/.f64 2 x)))))))
(.f64 1/4 (/.f64 4 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))))
(.f64 (/.f64 4 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (pow.f64 x 5) -1/15120)))) 1/4)
(.f64 (/.f64 4 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (+.f64 (.f64 -1/6 x) (/.f64 2 x))))) 1/4)
(.f64 (/.f64 4 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (/.f64 2 x) (.f64 (pow.f64 x 5) -1/15120))))) 1/4)
(.f64 (/.f64 4 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (/.f64 2 x))))) 1/4)
(.f64 (/.f64 1/2 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x))))) 2)
(.f64 2 (/.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (pow.f64 x 5) -1/15120)))))
(.f64 2 (/.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (+.f64 (.f64 -1/6 x) (/.f64 2 x))))))
(.f64 2 (/.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (/.f64 2 x) (.f64 (pow.f64 x 5) -1/15120))))))
(.f64 2 (/.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (/.f64 2 x))))))
(.f64 (/.f64 1 (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))))) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 x -1/6) (/.f64 2 x)))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (pow.f64 x 5) -1/15120))) (/.f64 1 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (pow.f64 x 5) -1/15120))) (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (*.f64 (pow.f64 x 5) -1/15120))))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (+.f64 (.f64 -1/6 x) (/.f64 2 x)))) (/.f64 1 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (+.f64 (.f64 -1/6 x) (/.f64 2 x)))) (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (/.f64 2 x) (.f64 (pow.f64 x 5) -1/15120)))) (/.f64 1 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (/.f64 2 x) (.f64 (pow.f64 x 5) -1/15120)))) (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (/.f64 2 x) (*.f64 (pow.f64 x 5) -1/15120)))))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (/.f64 2 x)))) (/.f64 1 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (/.f64 2 x)))) (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (*.f64 (pow.f64 x 5) -1/15120) (/.f64 2 x)))))))
(.f64 (/.f64 2 (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))))) (.f64 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 x -1/6) (/.f64 2 x)))) 1/2))
(.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (pow.f64 x 5) -1/15120)))) (/.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (pow.f64 x 5) -1/15120))) (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (pow.f64 x 5) -1/15120))))))
(.f64 1/2 (.f64 (/.f64 (/.f64 2 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (+.f64 (.f64 -1/6 x) (/.f64 2 x))))) (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (+.f64 (.f64 -1/6 x) (/.f64 2 x))))) (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (+.f64 (*.f64 -1/6 x) (/.f64 2 x))))))
(.f64 1/2 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (/.f64 2 x) (.f64 (pow.f64 x 5) -1/15120)))) (/.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (/.f64 2 x) (.f64 (pow.f64 x 5) -1/15120)))) (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (/.f64 2 x) (.f64 (pow.f64 x 5) -1/15120))))))))
(.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (/.f64 2 x))))) (/.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (/.f64 2 x)))) (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (/.f64 2 x)))))))
(pow.f64 (/.f64 1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 x -1/6) (/.f64 2 x))))) 1)
(/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (*.f64 (pow.f64 x 5) -1/15120))))
(/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))))
(/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (/.f64 2 x) (*.f64 (pow.f64 x 5) -1/15120)))))
(/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (*.f64 (pow.f64 x 5) -1/15120) (/.f64 2 x)))))
(neg.f64 (/.f64 -1 (+.f64 (.f64 -1/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 x -1/6) (/.f64 2 x))))))
(/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (*.f64 (pow.f64 x 5) -1/15120))))
(/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))))
(/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (/.f64 2 x) (*.f64 (pow.f64 x 5) -1/15120)))))
(/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 -1/6 x) (+.f64 (*.f64 (pow.f64 x 5) -1/15120) (/.f64 2 x)))))
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) 0)
(*.f64 (pow.f64 x 3) -1/360)
(+.f64 0 (*.f64 -1/360 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) -1/360)
(+.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720))
(*.f64 (pow.f64 x 3) -1/360)
(-.f64 (*.f64 -1/360 (pow.f64 x 3)) 0)
(*.f64 (pow.f64 x 3) -1/360)
(/.f64 (*.f64 -1/360 (pow.f64 x 3)) 1)
(*.f64 (pow.f64 x 3) -1/360)
(/.f64 (*.f64 (pow.f64 x 3) -1/180) 2)
(*.f64 (pow.f64 x 3) -1/360)
(/.f64 (*.f64 (pow.f64 x 3) -1/90) 4)
(*.f64 (pow.f64 x 3) -1/360)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) -1/90)) 8)
(*.f64 (pow.f64 x 3) -1/360)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) -1/90))) 16)
(*.f64 (pow.f64 x 3) -1/360)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) -1/90))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) -1/90)))) 32)
(*.f64 (pow.f64 x 3) -1/360)
(pow.f64 (*.f64 -1/360 (pow.f64 x 3)) 1)
(*.f64 (pow.f64 x 3) -1/360)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))))
✓	0.3b	(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))
	2.3b	(-.f64 1 (cos.f64 x))
✓	16.9b	(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))

Compiler

Compiled 61 to 34 computations (44.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
0.0ms	x	@	inf	(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
0.0ms	x	@	-inf	(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
0.0ms	x	@	0	(.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))))
0.0ms	x	@	0	(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))

rewrite116.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`rational.json-1`
1668×	`rational.json-2`
1668×	`rational.json-4`
1668×	`rational.json-3`
1654×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	123
1	117	123
2	281	123
3	696	93
4	1966	73
5	5906	73

Stop Event

1×	node limit

Counts

3 → 251

Calls

Call 1

Inputs

(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))

(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))

(*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))))

Outputs

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x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) 2)) (*.f64 2 (sin.f64 x))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2) (/.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 1/2) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (neg.f64 (*.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 0 (neg.f64 (*.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 0 (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) 2))) (neg.f64 (*.f64 (sin.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))))

simplify125.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1352×	`rational.json-simplify-44`
1224×	`rational.json-simplify-47`
1046×	`rational.json-simplify-50`
854×	`rational.json-simplify-61`
728×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	535	7335
1	1883	7247
2	5952	7199

Stop Event

1×	node limit

Counts

287 → 309

Calls

Call 1

Inputs
1/2
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/48 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 17/5760 (pow.f64 x 6)) (*.f64 1/48 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 x 2))
(+.f64 1/3 (/.f64 1 (pow.f64 x 2)))
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/15 (pow.f64 x 2))))
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 2/189 (pow.f64 x 4)) (.f64 1/15 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)
(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/2)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/2))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (/.f64 1/4 (sin.f64 x))) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (.f64 (sin.f64 x) 1/2) (neg.f64 (*.f64 2 (sin.f64 x)))) -1))
(/.f64 2 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x)))))
(/.f64 2 (+.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 2 (sin.f64 x)) (/.f64 (/.f64 (.f64 (sin.f64 x) 4) (.f64 (-.f64 1 (cos.f64 x)) 1/2)) 4))
(/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 4))
(/.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)
(/.f64 4 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4))))
(/.f64 4 (+.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x)))) (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (.f64 (sin.f64 x) 1/2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x))) (/.f64 1 (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x))) (/.f64 (sin.f64 (neg.f64 x)) -2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2)) (sin.f64 x)))
(/.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) 2)
(/.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 4 (sin.f64 x)) (*.f64 2 (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 8 (+.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4))) (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 2 (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (.f64 2 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 (sin.f64 (neg.f64 x)) -1/2))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 4 (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) 4) 4)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 (sin.f64 x) (/.f64 2 (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 2 (sin.f64 x))) (-.f64 0 (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) (.f64 (.f64 (sin.f64 x) 1/2) (neg.f64 (*.f64 2 (sin.f64 x)))))
(/.f64 (+.f64 (cos.f64 x) -1) (-.f64 0 (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 4)) 8)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (sin.f64 x))) (.f64 (sin.f64 x) 4))
(/.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (+.f64 (.f64 (.f64 (sin.f64 x) 1/2) (neg.f64 (.f64 2 (sin.f64 x)))) (.f64 (.f64 (sin.f64 x) 1/2) (neg.f64 (*.f64 2 (sin.f64 x))))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4)) (*.f64 (sin.f64 x) 4))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 1/2)) (neg.f64 (.f64 2 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x))) (sin.f64 x)) 1/2)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)) (/.f64 (sin.f64 x) 4))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x)))) (neg.f64 (.f64 (sin.f64 x) 1/2)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) 4)) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) 4))) 16)
(/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4))) (.f64 2 (.f64 (sin.f64 x) 4)))
(/.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 1/2)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 1/2))) (.f64 2 (neg.f64 (.f64 2 (sin.f64 x)))))
(/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x)))) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))))) (+.f64 (neg.f64 (.f64 (sin.f64 x) 1/2)) (neg.f64 (.f64 (sin.f64 x) 1/2))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (.f64 2 (sin.f64 x))) 1/4)
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (.f64 (sin.f64 x) 4)) 1/2)
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) 4)) 1/4)
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4)) (sin.f64 x)) 4)
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (neg.f64 (.f64 2 (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (sin.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4))) (neg.f64 (*.f64 (sin.f64 x) 4)))
(/.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 1/2))) (.f64 2 (sin.f64 x)))
(/.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 1/2))) (-.f64 0 (neg.f64 (.f64 2 (sin.f64 x)))))
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(/.f64 (/.f64 (*.f64 2 (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (/.f64 (sin.f64 x) (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (/.f64 2 (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) 2)) 2) (/.f64 (sin.f64 x) 4))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) 2)) (sin.f64 x)) 1/2)
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) 2)) 1/2) (sin.f64 x))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) 2)) (.f64 2 (sin.f64 x))) 1/4)
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2) (/.f64 (sin.f64 x) 4))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 1/2) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4)) (neg.f64 (.f64 (sin.f64 x) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 2 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 0 (neg.f64 (.f64 2 (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (sin.f64 x) (sin.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 0 (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) 2))) (neg.f64 (.f64 (sin.f64 x) 1/2)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)

Outputs
1/2
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2)
(+.f64 1/2 (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/48 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/48 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 17/5760 (pow.f64 x 6)) (*.f64 1/48 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (+.f64 (.f64 1/48 (pow.f64 x 4)) (.f64 17/5760 (pow.f64 x 6))) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/48 (pow.f64 x 4)) (*.f64 17/5760 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 x 2))
(+.f64 1/3 (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 2)) 1/3)
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/15 (pow.f64 x 2))))
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (pow.f64 x 2) 1/15)))
(+.f64 (*.f64 (pow.f64 x 2) 1/15) (+.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 x 2) 1/15))
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 2/189 (pow.f64 x 4)) (.f64 1/15 (pow.f64 x 2)))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 (pow.f64 x 2) 1/15) (.f64 (pow.f64 x 4) 2/189)) 1/3))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (.f64 (pow.f64 x 2) 1/15) (.f64 (pow.f64 x 4) 2/189))))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/2)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (/.f64 1/4 (sin.f64 x))) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 (/.f64 1/4 (sin.f64 x)) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 4 (/.f64 (sin.f64 x) 1/4))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (.f64 (sin.f64 x) 1/2) (neg.f64 (*.f64 2 (sin.f64 x)))) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 2 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 2 (+.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 2 (sin.f64 x)) (/.f64 (/.f64 (.f64 (sin.f64 x) 4) (.f64 (-.f64 1 (cos.f64 x)) 1/2)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 4 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 4 (+.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x)))) (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (.f64 (sin.f64 x) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x))) (/.f64 1 (/.f64 2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x))) (/.f64 (sin.f64 (neg.f64 x)) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 2 (sin.f64 x)) (/.f64 (sin.f64 (neg.f64 x)) -2)))
(/.f64 -2 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -2))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 2 (sin.f64 x)) (.f64 (.f64 1/2 (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 4 (sin.f64 x)) (*.f64 2 (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 8 (+.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4))) (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 2 (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (.f64 2 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 (sin.f64 (neg.f64 x)) -1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 4 (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) 4) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (/.f64 2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 (sin.f64 x) (/.f64 2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (/.f64 2 (sin.f64 x))) (-.f64 0 (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (+.f64 (cos.f64 x) -1) (.f64 (.f64 (sin.f64 x) 1/2) (neg.f64 (*.f64 2 (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (+.f64 (cos.f64 x) -1) (-.f64 0 (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 4)) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (sin.f64 x))) (.f64 (sin.f64 x) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (+.f64 (.f64 (.f64 (sin.f64 x) 1/2) (neg.f64 (.f64 2 (sin.f64 x)))) (.f64 (.f64 (sin.f64 x) 1/2) (neg.f64 (*.f64 2 (sin.f64 x))))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (+.f64 (.f64 (.f64 1/2 (sin.f64 x)) (neg.f64 (.f64 2 (sin.f64 x)))) (.f64 (.f64 1/2 (sin.f64 x)) (neg.f64 (*.f64 2 (sin.f64 x)))))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (.f64 (.f64 1/2 (sin.f64 x)) (.f64 (sin.f64 x) -4))))
(.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) -2))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4)) (*.f64 (sin.f64 x) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 1/2)) (neg.f64 (.f64 2 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x))) (sin.f64 x)) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)) (/.f64 (sin.f64 x) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x)))) (neg.f64 (.f64 (sin.f64 x) 1/2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) 4)) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) 4))) 16)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4))) (.f64 2 (.f64 (sin.f64 x) 4)))
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(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

eval290.0ms (1.4%)

Compiler: Compiled 16943 to 11142 computations (34.2% saved)

prune225.0ms (1.1%)

Pruning

41 alts after pruning (29 fresh and 12 done)

	Pruned	Kept	Total
New	955	12	967
Fresh	2	17	19
Picked	0	1	1
Done	1	11	12
Total	958	41	999

Error

0.1b

Counts

999 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	30.6b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
	29.5b	(/.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (-.f64 1 (cos.f64 x))))
	29.5b	(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 2 (sin.f64 x))))
	31.2b	(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1))
✓	29.4b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	29.6b	(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
	30.7b	(/.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 4 (sin.f64 x))) (+.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
	30.6b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))
	29.5b	(/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
✓	29.4b	(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
✓	32.2b	(/.f64 1 (/.f64 2 x))
	29.6b	(/.f64 1 (+.f64 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) -1))
	31.5b	(/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (*.f64 (pow.f64 x 5) -1/15120))))
	31.5b	(/.f64 1 (+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 -1/360 (pow.f64 x 3)))))
	31.5b	(/.f64 1 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x))))
	29.5b	(/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
	29.5b	(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
	29.5b	(-.f64 1 (-.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))
✓	29.5b	(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
	31.3b	(+.f64 -1 (-.f64 1 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))
	60.7b	(+.f64 -1 (-.f64 1 (*.f64 -1/2 x)))
✓	29.6b	(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))
✓	61.3b	(+.f64 -1 1)
	48.5b	(.f64 (/.f64 4 x) (/.f64 1 (.f64 (/.f64 2 x) (/.f64 4 x))))
	48.4b	(.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 4 (.f64 x x))))
	55.3b	(*.f64 (/.f64 2 (/.f64 2 (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1))) 1/2)
✓	26.9b	(*.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) 1/2)
	26.9b	(*.f64 (/.f64 2 (+.f64 (-.f64 (/.f64 2 (sin.f64 x)) -1) -1)) 1/2)
	32.0b	(.f64 (/.f64 2 (+.f64 (.f64 x 1/3) (*.f64 2 (/.f64 1 x)))) 1/2)
	47.8b	(.f64 (/.f64 2 x) (.f64 x (*.f64 x 1/4)))
	29.5b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	55.3b	(*.f64 (+.f64 (-.f64 (sin.f64 x) -1) -1) 1/2)
	61.3b	(*.f64 (sin.f64 (-.f64 (PI.f64) x)) 1/2)
	30.6b	(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
	29.5b	(*.f64 (sin.f64 x) (+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))))
✓	30.7b	(.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
	30.7b	(.f64 (sin.f64 x) (.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))))
✓	30.7b	(.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))))
✓	26.8b	(*.f64 (sin.f64 x) 1/2)
✓	32.1b	(*.f64 1/2 x)
	48.5b	(neg.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))

Compiler

Compiled 534 to 410 computations (23.2% saved)

regimes141.0ms (0.7%)

Counts

67 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(/.f64 1 (/.f64 2 x))
(*.f64 (/.f64 4 (/.f64 2 x)) 1/4)
(+.f64 -1 (-.f64 1 (*.f64 -1/2 x)))
(.f64 (/.f64 2 x) (.f64 x (*.f64 x 1/4)))
(neg.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))
(.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 4 (.f64 x x))))
(/.f64 1 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x))))
(.f64 (/.f64 2 (+.f64 (.f64 x 1/3) (*.f64 2 (/.f64 1 x)))) 1/2)
(.f64 (/.f64 4 x) (/.f64 1 (.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (*.f64 2 (/.f64 1 x)))) 1/4)
(*.f64 (sin.f64 x) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (+.f64 (-.f64 (sin.f64 x) -1) -1) 1/2)
(*.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) 1/2)
(*.f64 (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1) 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(*.f64 (/.f64 2 (+.f64 (-.f64 (/.f64 2 (sin.f64 x)) -1) -1)) 1/2)
(*.f64 (/.f64 2 (/.f64 2 (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1))) 1/2)
(/.f64 1 (+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 -1/360 (pow.f64 x 3)))))
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/360 (pow.f64 x 3))))) 1/4)
(*.f64 (sin.f64 (-.f64 (PI.f64) x)) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/4)
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 4 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x))) 1/4)
(-.f64 1 (-.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))
(/.f64 1 (+.f64 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) -1))
(*.f64 (/.f64 4 (+.f64 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) -1)) 1/4)
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (*.f64 (pow.f64 x 5) -1/15120))))
(/.f64 1 (+.f64 (.f64 x -1/6) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5))) (.f64 -1/360 (pow.f64 x 3)))))
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5))) (*.f64 -1/360 (pow.f64 x 3))))) 1/4)
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))))
(.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))))
(*.f64 (sin.f64 x) (+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (-.f64 1 (cos.f64 x)))
(.f64 2 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 2 (-.f64 1 (cos.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (sin.f64 x) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 -2 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))
(+.f64 -1 (-.f64 1 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))
(/.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 4 (sin.f64 x))) (+.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))

Outputs

(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))

(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7)))))

(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))

Calls

2 calls:

74.0ms	x
45.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

Error	Segments	Branch
0.3b	3	`x`
0.4b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 939 to 600 computations (36.1% saved)

bsearch48.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.03260690441248023	312.4803407376667
27.0ms	-122849524227234.03	-0.01982657349611329

Results

43.0ms

288×

body

256

valid

Compiler

Compiled 624 to 513 computations (17.8% saved)

regimes98.0ms (0.5%)

Counts

45 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(/.f64 1 (/.f64 2 x))
(*.f64 (/.f64 4 (/.f64 2 x)) 1/4)
(+.f64 -1 (-.f64 1 (*.f64 -1/2 x)))
(.f64 (/.f64 2 x) (.f64 x (*.f64 x 1/4)))
(neg.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))
(.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 4 (.f64 x x))))
(/.f64 1 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x))))
(.f64 (/.f64 2 (+.f64 (.f64 x 1/3) (*.f64 2 (/.f64 1 x)))) 1/2)
(.f64 (/.f64 4 x) (/.f64 1 (.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (*.f64 2 (/.f64 1 x)))) 1/4)
(*.f64 (sin.f64 x) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (+.f64 (-.f64 (sin.f64 x) -1) -1) 1/2)
(*.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) 1/2)
(*.f64 (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1) 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(*.f64 (/.f64 2 (+.f64 (-.f64 (/.f64 2 (sin.f64 x)) -1) -1)) 1/2)
(*.f64 (/.f64 2 (/.f64 2 (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1))) 1/2)
(/.f64 1 (+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 -1/360 (pow.f64 x 3)))))
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/360 (pow.f64 x 3))))) 1/4)
(*.f64 (sin.f64 (-.f64 (PI.f64) x)) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/4)
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 4 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x))) 1/4)
(-.f64 1 (-.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))
(/.f64 1 (+.f64 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) -1))
(*.f64 (/.f64 4 (+.f64 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) -1)) 1/4)
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (*.f64 (pow.f64 x 5) -1/15120))))
(/.f64 1 (+.f64 (.f64 x -1/6) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5))) (.f64 -1/360 (pow.f64 x 3)))))
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5))) (*.f64 -1/360 (pow.f64 x 3))))) 1/4)
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))

Outputs
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Calls

2 calls:

52.0ms	x
32.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

Error	Segments	Branch
0.4b	3	`x`
0.4b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 516 to 377 computations (26.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.002085437563141454	0.012093221237313333
0.0ms	-0.014503797832495858	-0.009913611497803008

Compiler

Compiled 12 to 9 computations (25% saved)

regimes87.0ms (0.4%)

Counts

40 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(/.f64 1 (/.f64 2 x))
(*.f64 (/.f64 4 (/.f64 2 x)) 1/4)
(+.f64 -1 (-.f64 1 (*.f64 -1/2 x)))
(.f64 (/.f64 2 x) (.f64 x (*.f64 x 1/4)))
(neg.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))
(.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 4 (.f64 x x))))
(/.f64 1 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x))))
(.f64 (/.f64 2 (+.f64 (.f64 x 1/3) (*.f64 2 (/.f64 1 x)))) 1/2)
(.f64 (/.f64 4 x) (/.f64 1 (.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (*.f64 2 (/.f64 1 x)))) 1/4)
(*.f64 (sin.f64 x) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (+.f64 (-.f64 (sin.f64 x) -1) -1) 1/2)
(*.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) 1/2)
(*.f64 (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1) 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(*.f64 (/.f64 2 (+.f64 (-.f64 (/.f64 2 (sin.f64 x)) -1) -1)) 1/2)
(*.f64 (/.f64 2 (/.f64 2 (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1))) 1/2)
(/.f64 1 (+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 -1/360 (pow.f64 x 3)))))
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/360 (pow.f64 x 3))))) 1/4)
(*.f64 (sin.f64 (-.f64 (PI.f64) x)) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/4)
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 4 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x))) 1/4)
(-.f64 1 (-.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))
(/.f64 1 (+.f64 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) -1))
(*.f64 (/.f64 4 (+.f64 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) -1)) 1/4)
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))

Outputs
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Calls

2 calls:

47.0ms	x
29.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.4b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 422 to 304 computations (28% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.478677750577889e-7	0.002085437563141454
0.0ms	-0.009913611497803008	0.0

Compiler

Compiled 12 to 9 computations (25% saved)

regimes59.0ms (0.3%)

Counts

25 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(/.f64 1 (/.f64 2 x))
(*.f64 (/.f64 4 (/.f64 2 x)) 1/4)
(+.f64 -1 (-.f64 1 (*.f64 -1/2 x)))
(.f64 (/.f64 2 x) (.f64 x (*.f64 x 1/4)))
(neg.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))
(.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 4 (.f64 x x))))
(/.f64 1 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x))))
(.f64 (/.f64 2 (+.f64 (.f64 x 1/3) (*.f64 2 (/.f64 1 x)))) 1/2)
(.f64 (/.f64 4 x) (/.f64 1 (.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (*.f64 2 (/.f64 1 x)))) 1/4)
(*.f64 (sin.f64 x) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (+.f64 (-.f64 (sin.f64 x) -1) -1) 1/2)
(*.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) 1/2)
(*.f64 (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1) 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(*.f64 (/.f64 2 (+.f64 (-.f64 (/.f64 2 (sin.f64 x)) -1) -1)) 1/2)
(*.f64 (/.f64 2 (/.f64 2 (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1))) 1/2)
(/.f64 1 (+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 -1/360 (pow.f64 x 3)))))
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/360 (pow.f64 x 3))))) 1/4)
(*.f64 (sin.f64 (-.f64 (PI.f64) x)) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Calls

2 calls:

31.0ms	x
20.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 243 to 186 computations (23.5% saved)

bsearch45.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	1.6957111228720463e-6	0.004170869079859206
24.0ms	-0.01982657349611329	-7.694680936531996e-11

Results

41.0ms

272×

body

256

valid

Compiler

Compiled 352 to 281 computations (20.2% saved)

regimes19.0ms (0.1%)

Counts

23 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(/.f64 1 (/.f64 2 x))
(*.f64 (/.f64 4 (/.f64 2 x)) 1/4)
(+.f64 -1 (-.f64 1 (*.f64 -1/2 x)))
(.f64 (/.f64 2 x) (.f64 x (*.f64 x 1/4)))
(neg.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))
(.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 4 (.f64 x x))))
(/.f64 1 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x))))
(.f64 (/.f64 2 (+.f64 (.f64 x 1/3) (*.f64 2 (/.f64 1 x)))) 1/2)
(.f64 (/.f64 4 x) (/.f64 1 (.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (*.f64 2 (/.f64 1 x)))) 1/4)
(*.f64 (sin.f64 x) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (+.f64 (-.f64 (sin.f64 x) -1) -1) 1/2)
(*.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) 1/2)
(*.f64 (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1) 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(*.f64 (/.f64 2 (+.f64 (-.f64 (/.f64 2 (sin.f64 x)) -1) -1)) 1/2)
(*.f64 (/.f64 2 (/.f64 2 (+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1))) 1/2)
(/.f64 1 (+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 -1/360 (pow.f64 x 3)))))
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/360 (pow.f64 x 3))))) 1/4)
(*.f64 (sin.f64 (-.f64 (PI.f64) x)) 1/2)

Outputs
(*.f64 (sin.f64 x) 1/2)

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
26.8b	1	`x`

Compiler

Compiled 219 to 172 computations (21.5% saved)

regimes10.0ms (0%)

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(/.f64 1 (/.f64 2 x))
(*.f64 (/.f64 4 (/.f64 2 x)) 1/4)
(+.f64 -1 (-.f64 1 (*.f64 -1/2 x)))
(.f64 (/.f64 2 x) (.f64 x (*.f64 x 1/4)))
(neg.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))
(.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 4 (.f64 x x))))
(/.f64 1 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x))))
(.f64 (/.f64 2 (+.f64 (.f64 x 1/3) (*.f64 2 (/.f64 1 x)))) 1/2)
(.f64 (/.f64 4 x) (/.f64 1 (.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (*.f64 2 (/.f64 1 x)))) 1/4)

Outputs
(/.f64 1 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x))))

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
31.5b	1	`x`

Compiler

Compiled 108 to 84 computations (22.2% saved)

regimes7.0ms (0%)

Accuracy

Total -29.9b remaining (-93%)

Threshold costs -29.9b (-93%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(/.f64 1 (/.f64 2 x))
(*.f64 (/.f64 4 (/.f64 2 x)) 1/4)
(+.f64 -1 (-.f64 1 (*.f64 -1/2 x)))
(.f64 (/.f64 2 x) (.f64 x (*.f64 x 1/4)))
(neg.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))
(.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 4 (.f64 x x))))

Outputs
(*.f64 1/2 x)

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
32.1b	1	`x`

Compiler

Compiled 58 to 43 computations (25.9% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	547

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1080863910568919/18014398509481984) (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (if (<=.f64 x 1116892707587883/18014398509481984) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))) (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/288230376151711744) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/1152921504606846976) (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4722366482869645/4722366482869645213696) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 x -5188146770730811/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 x 4496393867966703/1152921504606846976) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (sin.f64 x) 1/2)
(/.f64 1 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x))))
(*.f64 1/2 x)

Outputs
(if (<=.f64 x -1080863910568919/18014398509481984) (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (if (<=.f64 x 1116892707587883/18014398509481984) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))) (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/288230376151711744) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/1152921504606846976) (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4722366482869645/4722366482869645213696) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 x -5188146770730811/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 x 4496393867966703/1152921504606846976) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (sin.f64 x) 1/2)
(/.f64 1 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x))))
(*.f64 1/2 x)

Compiler

Compiled 199 to 140 computations (29.6% saved)

soundness112.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1736×	`rational.json-simplify-39`
1442×	`rational.json-simplify-2`
1148×	`rational.json-simplify-53`
522×	`rational.json-simplify-43`
498×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	283	3850
1	588	3764
2	3075	3724
3	6267	3464

Stop Event

1×	node limit

Compiler

Compiled 43 to 35 computations (18.6% saved)

end85.0ms (0.4%)

Compiler: Compiled 193 to 127 computations (34.2% saved)