Details

analyze471.0ms (2%)

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)

sample15.6s (66.1%)

Results

9.4s	2098×	body	2048	valid
4.0s	3113×	body	1024	valid
1.5s	1528×	body	512	valid
448.0ms	1418×	body	256	valid
229.0ms	98×	body	4096	valid
2.0ms	1×	body	8192	valid

Bogosity

preprocess120.0ms (0.5%)

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)

simplify121.0ms (0.5%)

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

32.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.5b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	2.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 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	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
0.0ms	x	@	0	(-.f64 1 (cos.f64 x))
0.0ms	x	@	inf	(-.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	32
1	72	32
2	190	32
3	449	32
4	1115	32
5	3972	32

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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simplify124.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1296×	`rational.json-simplify-35`
1002×	`rational.json-simplify-39`
900×	`rational.json-simplify-2`
726×	`rational.json-simplify-1`
660×	`exponential.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	3147
1	488	3127
2	1865	3007
3	4273	3007
4	7239	3007

Stop Event

1×	node limit

Counts

117 → 142

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)))))
(+.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))))

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 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4))))
(*.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)) 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)))))))
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eval35.0ms (0.1%)

Compiler: Compiled 2166 to 1322 computations (39% saved)

prune33.0ms (0.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	128	14	142
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	15	143

Error

0.2b

Counts

143 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	32.7b	(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
▶	34.4b	(/.f64 (sin.f64 x) (.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))))))
▶	29.4b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
▶	29.3b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
	32.6b	(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
	34.5b	(.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))
	34.4b	(.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))))))
▶	32.6b	(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/4)
	32.6b	(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
	34.4b	(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
	32.6b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	34.5b	(.f64 (/.f64 1/2 (-.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)))))))
	34.4b	(.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
▶	28.8b	(*.f64 1/2 x)

Compiler

Compiled 480 to 334 computations (30.4% saved)

localize3.0ms (0%)

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 19 computations (24% saved)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/24 (pow.f64 x 3))
0.0ms	x	@	inf	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
0.0ms	x	@	-inf	(*.f64 1/24 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 1/24 (pow.f64 x 3))
0.0ms	x	@	0	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))

rewrite180.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`rational.json-simplify-1`
1546×	`rational.json-simplify-35`
1312×	`exponential.json-3`
1312×	`rational.json-1`
1312×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	65	38
2	125	38
3	243	38
4	445	38
5	1029	38
6	2827	38
7	4860	38
8	5542	38
9	6773	38
10	7618	38
11	7618	38

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

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 (pow.f64 x 3) 1/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/3))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/3)))))) 256)))) (#(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 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.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 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 x (.f64 (pow.f64 x 3) 1/12))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (+.f64 x (.f64 (pow.f64 x 3) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 1/48)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (+.f64 (.f64 x 4) (.f64 (pow.f64 x 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 1/8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 x 4) (.f64 (pow.f64 x 3) 1/3)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 1/6)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 x (.f64 (pow.f64 x 3) 1/12))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) 1)))))

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 (pow.f64 x 3) 1/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)))))) 256)))) (#(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 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.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 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 3) 1/3)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 1/6)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)))))

simplify213.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

4382×	`rational.json-simplify-41`
2798×	`rational.json-simplify-43`
2152×	`rational.json-simplify-35`
1164×	`rational.json-simplify-2`
648×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	914
1	203	914
2	374	914
3	820	914
4	2023	914
5	2798	914
6	3310	914
7	3597	914
8	3737	914
9	3856	914
10	3963	914
11	4068	914
12	4173	914
13	4278	914
14	4278	914

Stop Event

1×	node limit

Counts

44 → 46

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 1/24 (pow.f64 x 3))
(*.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 (pow.f64 x 3) 1/3) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/3)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 1/3))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/3)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 1/3))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/3)))))) 256)
(pow.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(-.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) 0)
(.f64 1/2 (+.f64 x (.f64 (pow.f64 x 3) 1/12)))
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)
(.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))
(.f64 2 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 1/2)
(.f64 4 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8))
(.f64 (.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 1/4)
(.f64 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 1/8)
(.f64 1/4 (.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))
(.f64 1/4 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 1/6)))
(.f64 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)) 2)
(.f64 1/8 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))
(.f64 1/8 (+.f64 (.f64 x 4) (*.f64 (pow.f64 x 3) 1/3)))
(.f64 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8) 4)
(.f64 (+.f64 (.f64 x 4) (*.f64 (pow.f64 x 3) 1/3)) 1/8)
(.f64 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 1/6)) 1/4)
(/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) 1)
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 2)
(/.f64 (.f64 2 (+.f64 x (.f64 (pow.f64 x 3) 1/12))) 4)
(/.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4) 8)
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))))) 256)
(pow.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) 1)

Outputs
(*.f64 1/2 x)
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/24 (pow.f64 x 3))
(+.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 (pow.f64 x 3) 1/3) 8)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/3)) 16)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 1/3))) 32)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/3)))) 64)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 1/3))))) 128)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/3)))))) 256)
(*.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 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) 0)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 1/2 (+.f64 x (.f64 (pow.f64 x 3) 1/12)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 2 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))
(.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/48) (*.f64 x 1/4)))
(.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 1/2)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 4 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 (.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 1/4)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 1/8)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 1/4 (.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 1/4 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 1/6)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)) 2)
(.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/48) (*.f64 x 1/4)))
(.f64 1/8 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 1/8 (+.f64 (.f64 x 4) (*.f64 (pow.f64 x 3) 1/3)))
(.f64 1/8 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 x 4)))
(.f64 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8) 4)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 (+.f64 (.f64 x 4) (*.f64 (pow.f64 x 3) 1/3)) 1/8)
(.f64 1/8 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 x 4)))
(.f64 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 1/6)) 1/4)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) 1)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 2)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(/.f64 (.f64 2 (+.f64 x (.f64 (pow.f64 x 3) 1/12))) 4)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(/.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4) 8)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)) 16)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4))) 32)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))) 64)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4))))) 128)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))))) 256)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(pow.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) 1)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
✓	0.1b	(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
	2.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 40 to 23 computations (42.5% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
1.0ms	x	@	0	(/.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 (sin.f64 x) (-.f64 1 (cos.f64 x)))
0.0ms	x	@	inf	(/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))

rewrite77.0ms (0.3%)

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))))))))

simplify92.0ms (0.4%)

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)))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 1/240 (pow.f64 x 5))
0.0ms	x	@	inf	(*.f64 1/240 (pow.f64 x 5))
0.0ms	x	@	-inf	(*.f64 1/240 (pow.f64 x 5))
0.0ms	x	@	inf	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
0.0ms	x	@	inf	(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))

rewrite120.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`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	87
1	99	87
2	185	87
3	364	87
4	746	87
5	1949	87
6	4202	87
7	5863	87
8	7312	87

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

Outputs

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

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

simplify668.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3102×	`rational.json-simplify-51`
2938×	`rational.json-simplify-35`
1832×	`rational.json-simplify-1`
1050×	`rational.json-simplify-2`
986×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	2603
1	266	2603
2	619	2603
3	2104	2603
4	3744	2603
5	4012	2603
6	4120	2603
7	4203	2603
8	4283	2603
9	4363	2603
10	4942	2603
11	5028	2603
12	5114	2603
13	5192	2603
14	5270	2603
15	5270	2603
16	7608	2603
17	7700	2603
18	7773	2603
19	7846	2603
20	7917	2603
21	7987	2603

Stop Event

1×	node limit

Counts

83 → 71

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

localize68.0ms (0.3%)

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 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
✓	0.2b	(.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)))))
✓	0.2b	(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
	2.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 76 to 37 computations (51.3% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
1.0ms	x	@	-inf	(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
0.0ms	x	@	inf	(.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)))))
0.0ms	x	@	0	(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
0.0ms	x	@	-inf	(.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)))))

rewrite187.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1502×	`exponential.json-3`
1502×	`rational.json-1`
1502×	`rational.json-2`
1502×	`rational.json-4`
1502×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	183
1	100	183
2	307	183
3	1149	99
4	5053	99

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

Inputs

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

Outputs

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

simplify240.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1352×	`rational.json-simplify-2`
820×	`rational.json-simplify-35`
696×	`rational.json-simplify-40`
536×	`rational.json-simplify-61`
534×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	334	9431
1	1032	9217
2	3946	8789
3	7696	8785

Stop Event

1×	node limit

Counts

173 → 278

Calls

Call 1

Inputs
(/.f64 4 (pow.f64 x 2))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) 2/3)
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 1/60 (pow.f64 x 2))) 2/3)
(-.f64 (+.f64 (.f64 1/1512 (pow.f64 x 4)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2)))) 2/3)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.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))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 0)
(+.f64 0 (*.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 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 0)
(/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 1)
(/.f64 2 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 -1 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.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 (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))) 2) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) 2)) 2)
(/.f64 4 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(/.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 4) 4)
(/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) 2))) (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(/.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 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (.f64 (.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 1 (cos.f64 x)))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 4) (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 4)) 8)
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) 2))) (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) 2)))) (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 4))
(/.f64 (+.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 (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))) 2))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.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 1 (cos.f64 x)))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (*.f64 2 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))) (.f64 2 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))
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(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 -1 (+.f64 (cos.f64 x) -1)))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.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)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 (-.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 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.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 (cos.f64 x) -1)) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.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 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2)
(.f64 (.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) 2) (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.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 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) 2) (.f64 (sin.f64 x) 2))
(.f64 (/.f64 -1 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (neg.f64 (sin.f64 x)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(neg.f64 (/.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))

Outputs
(/.f64 4 (pow.f64 x 2))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) 2/3)
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 1/60 (pow.f64 x 2))) 2/3)
(+.f64 (.f64 (pow.f64 x 2) 1/60) (-.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) 2/3))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (-.f64 (.f64 (pow.f64 x 2) 1/60) 2/3))
(-.f64 (+.f64 (.f64 1/1512 (pow.f64 x 4)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2)))) 2/3)
(+.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/60)) (-.f64 (*.f64 1/1512 (pow.f64 x 4)) 2/3))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 x 2) 1/60) (*.f64 1/1512 (pow.f64 x 4)))) 2/3)
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (-.f64 (.f64 (pow.f64 x 2) 1/60) 2/3) (*.f64 1/1512 (pow.f64 x 4))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/1512 (pow.f64 x 4)) (-.f64 (*.f64 (pow.f64 x 2) 1/60) 2/3)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 (pow.f64 x 2) -1/2))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 2 (+.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 (pow.f64 x 2) -1/2) (+.f64 (+.f64 (.f64 (pow.f64 x 4) 1/24) (*.f64 -1/720 (pow.f64 x 6))) 2))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 (.f64 (pow.f64 x 4) 1/24) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 2 (+.f64 (.f64 (pow.f64 x 4) 1/24) (*.f64 -1/720 (pow.f64 x 6)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 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)))
(+.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 1/2 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 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))) (.f64 x 1/2)))
(+.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 (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 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 0)
(.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 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
(.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 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(-.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 0)
(.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 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.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) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.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) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (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 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(/.f64 2 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 -1 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.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) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.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 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
(.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 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.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) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) 2)) 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 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(/.f64 4 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(fabs.f64 (/.f64 (sin.f64 x) (/.f64 (-.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 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 4) 4)
(.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 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) 2))) (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) 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 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(fabs.f64 (/.f64 (sin.f64 x) (/.f64 (-.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 (/.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 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.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 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (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)))) (/.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (fabs.f64 (/.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 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 (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.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) (+.f64 (cos.f64 x) -1)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
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(.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (sin.f64 x)) -2))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 2 (/.f64 -1/2 (sin.f64 x))))
(.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (.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 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (fabs.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 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
(.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 -1 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 -1/2 (+.f64 (cos.f64 x) -1)) (/.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 -1/2 (+.f64 (cos.f64 x) -1)) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.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 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.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 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (.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 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (*.f64 (-.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) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (.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))) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.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 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.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 (cos.f64 x) -1)) (/.f64 (/.f64 -1 (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 2 (sin.f64 x))) 1/2)
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 (sin.f64 x)) 1/2))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(.f64 (.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(/.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)) (.f64 (/.f64 2 (sin.f64 x)) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) 2) (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))))
(.f64 1/2 (.f64 2 (/.f64 (sin.f64 x) (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))))
(.f64 2 (.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) 1/2))
(.f64 2 (.f64 1/2 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.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 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (*.f64 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))) 2))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))) (/.f64 (sin.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 -1/2 (+.f64 (cos.f64 x) -1)) (/.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 -1/2 (+.f64 (cos.f64 x) -1)) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) 2) (.f64 (sin.f64 x) 2))
(.f64 (.f64 2 (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 2))
(.f64 (.f64 2 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (.f64 2 (sin.f64 x)))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (*.f64 2 (sin.f64 x)))
(.f64 (/.f64 -1 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))) (sin.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.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 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.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))
(neg.f64 (/.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

eval418.0ms (1.8%)

Compiler: Compiled 15609 to 9540 computations (38.9% saved)

prune154.0ms (0.7%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	652	21	673
Fresh	3	6	9
Picked	1	0	1
Done	3	2	5
Total	659	29	688

Error

0.2b

Counts

688 → 29

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	32.7b	(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
	33.6b	(/.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))
	34.4b	(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
	34.4b	(/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))))
	34.6b	(/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.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 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.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 (sin.f64 x) (+.f64 (cos.f64 x) -1))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))
	34.8b	(/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (/.f64 (.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))))
▶	32.6b	(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
▶	24.1b	(/.f64 (sin.f64 x) 2)
▶	32.6b	(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
	32.5b	(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
	34.5b	(.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))
	34.4b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 -1 (+.f64 (cos.f64 x) -1)))
	34.4b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))) (/.f64 (sin.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x)))))
	34.4b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))) (neg.f64 (sin.f64 x))))
	34.4b	(.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))))))
▶	34.4b	(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
▶	28.9b	(*.f64 (/.f64 4 (/.f64 2 x)) 1/4)
	32.7b	(*.f64 (/.f64 4 (+.f64 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) -1)) 1/4)
	28.7b	(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/360 (pow.f64 x 3))))) 1/4)
	28.6b	(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (*.f64 2 (/.f64 1 x)))) 1/4)
	32.6b	(.f64 (/.f64 4 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x))) 1/4)
	32.6b	(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
	32.6b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	34.4b	(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
	32.6b	(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (*.f64 2 (sin.f64 x)))
	34.4b	(.f64 (sin.f64 x) (neg.f64 (.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)))))
✓	28.8b	(*.f64 1/2 x)
	32.6b	(neg.f64 (/.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))

Compiler

Compiled 1378 to 873 computations (36.6% saved)

localize6.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 4 (/.f64 2 x))

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 4 (/.f64 2 x))
0.0ms	x	@	inf	(/.f64 4 (/.f64 2 x))
0.0ms	x	@	-inf	(/.f64 4 (/.f64 2 x))

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`rational.json-simplify-35`
948×	`rational.json-1`
948×	`rational.json-2`
948×	`rational.json-4`
948×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	54	7
2	149	7
3	371	7
4	1147	7
5	3154	7

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

Inputs
(/.f64 4 (/.f64 2 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3/2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (+.f64 (*.f64 x 1/4) (/.f64 (neg.f64 x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x 1/2) (/.f64 (/.f64 1/2 x) (*.f64 4 (/.f64 (/.f64 1/4 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1/4 (/.f64 (/.f64 1/4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 x) (*.f64 x (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 (*.f64 4 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (+.f64 2 (*.f64 2 (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 1 (/.f64 (/.f64 1/4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/4)) (/.f64 8 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 8) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (/.f64 2 x) (/.f64 (/.f64 1/4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 16) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -4) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (/.f64 (/.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/4) (/.f64 x (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/4) (+.f64 4 (/.f64 (*.f64 4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 x) (/.f64 2 (/.f64 (/.f64 1/4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x 1/8)) (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 x) (/.f64 (/.f64 1/4 x) x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 1/2 x) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 x) x) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -8 (/.f64 4 x)))))))

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1226×	`rational.json-simplify-57`
1152×	`rational.json-simplify-51`
1138×	`rational.json-simplify-2`
630×	`rational.json-simplify-39`
590×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	479
1	224	479
2	552	479
3	2098	479
4	4373	479

Stop Event

1×	node limit

Counts

65 → 53

Calls

Call 1

Inputs
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(+.f64 x x)
(+.f64 0 (+.f64 x x))
(+.f64 (+.f64 x x) 0)
(+.f64 (.f64 x 1/2) (.f64 x 3/2))
(+.f64 -1 (-.f64 1 (*.f64 x -2)))
(+.f64 (.f64 x 3/2) (.f64 x 1/2))
(-.f64 0 (*.f64 x -2))
(-.f64 (+.f64 x x) 0)
(.f64 4 (.f64 x 1/2))
(.f64 4 (+.f64 (.f64 x 1/4) (/.f64 (neg.f64 x) -4)))
(*.f64 2 x)
(.f64 2 (+.f64 (.f64 x 1/2) (/.f64 (/.f64 1/2 x) (*.f64 4 (/.f64 (/.f64 1/4 x) x)))))
(*.f64 x 2)
(*.f64 (/.f64 2 x) (/.f64 1/4 (/.f64 (/.f64 1/4 x) x)))
(*.f64 1 (+.f64 x x))
(*.f64 (+.f64 x x) 1)
(.f64 8 (.f64 x 1/4))
(.f64 1/2 (.f64 4 x))
(.f64 (.f64 4 x) 1/2)
(.f64 (/.f64 8 x) (.f64 x (*.f64 x 1/4)))
(*.f64 -2 (neg.f64 x))
(*.f64 (neg.f64 x) -2)
(.f64 (.f64 x 1/2) 4)
(.f64 (.f64 x 1/2) (/.f64 (*.f64 4 x) x))
(.f64 (.f64 x 1/2) (+.f64 2 (*.f64 2 (/.f64 x x))))
(*.f64 (/.f64 1/2 x) (/.f64 1 (/.f64 (/.f64 1/4 x) x)))
(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 8 x))
(.f64 (.f64 x 8) 1/4)
(.f64 (.f64 x -2) -1)
(.f64 1/4 (.f64 x 8))
(*.f64 1/4 (/.f64 (/.f64 2 x) (/.f64 (/.f64 1/4 x) x)))
(.f64 -1/2 (.f64 x -4))
(.f64 (.f64 x 16) 1/8)
(.f64 (.f64 x -4) -1/2)
(*.f64 (/.f64 1 x) (/.f64 1 (/.f64 (/.f64 1/2 x) x)))
(.f64 (.f64 x 1/4) 8)
(.f64 (.f64 x 1/4) (/.f64 x (*.f64 x 1/8)))
(.f64 (.f64 x 1/4) (+.f64 4 (/.f64 (*.f64 4 x) x)))
(.f64 -1 (.f64 x -2))
(.f64 1/8 (.f64 x 16))
(*.f64 1/8 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)))
(*.f64 (/.f64 1/4 x) (/.f64 2 (/.f64 (/.f64 1/4 x) x)))
(.f64 (/.f64 x (.f64 x 1/8)) (*.f64 x 1/4))
(*.f64 (/.f64 2 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/4 x))
(*.f64 (/.f64 (/.f64 2 x) (/.f64 (/.f64 1/4 x) x)) 1/4)
(*.f64 (/.f64 1 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/2 x))
(*.f64 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)) 1/8)
(*.f64 (/.f64 1 (/.f64 (/.f64 1/2 x) x)) (/.f64 1 x))
(*.f64 (/.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 2 x))
(.f64 (/.f64 (.f64 4 x) x) (*.f64 x 1/2))
(pow.f64 (+.f64 x x) 1)
(neg.f64 (*.f64 x -2))
(neg.f64 (/.f64 -8 (/.f64 4 x)))

Outputs
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 0 (+.f64 x x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (+.f64 x x) 0)
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 1/2) (.f64 x 3/2))
(*.f64 2 x)
(+.f64 x x)
(+.f64 -1 (-.f64 1 (*.f64 x -2)))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 3/2) (.f64 x 1/2))
(*.f64 2 x)
(+.f64 x x)
(-.f64 0 (*.f64 x -2))
(*.f64 2 x)
(+.f64 x x)
(-.f64 (+.f64 x x) 0)
(*.f64 2 x)
(+.f64 x x)
(.f64 4 (.f64 x 1/2))
(*.f64 2 x)
(+.f64 x x)
(.f64 4 (+.f64 (.f64 x 1/4) (/.f64 (neg.f64 x) -4)))
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(.f64 2 (+.f64 (.f64 x 1/2) (/.f64 (/.f64 1/2 x) (*.f64 4 (/.f64 (/.f64 1/4 x) x)))))
(*.f64 2 x)
(+.f64 x x)
(*.f64 x 2)
(*.f64 2 x)
(+.f64 x x)
(*.f64 (/.f64 2 x) (/.f64 1/4 (/.f64 (/.f64 1/4 x) x)))
(*.f64 2 x)
(+.f64 x x)
(*.f64 1 (+.f64 x x))
(*.f64 2 x)
(+.f64 x x)
(*.f64 (+.f64 x x) 1)
(*.f64 2 x)
(+.f64 x x)
(.f64 8 (.f64 x 1/4))
(*.f64 2 x)
(+.f64 x x)
(.f64 1/2 (.f64 4 x))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 4 x) 1/2)
(*.f64 2 x)
(+.f64 x x)
(.f64 (/.f64 8 x) (.f64 x (*.f64 x 1/4)))
(*.f64 2 x)
(+.f64 x x)
(*.f64 -2 (neg.f64 x))
(*.f64 2 x)
(+.f64 x x)
(*.f64 (neg.f64 x) -2)
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 1/2) 4)
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 1/2) (/.f64 (*.f64 4 x) x))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 1/2) (+.f64 2 (*.f64 2 (/.f64 x x))))
(*.f64 (/.f64 1/2 x) (/.f64 1 (/.f64 (/.f64 1/4 x) x)))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 8 x))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 8) 1/4)
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x -2) -1)
(*.f64 2 x)
(+.f64 x x)
(.f64 1/4 (.f64 x 8))
(*.f64 2 x)
(+.f64 x x)
(*.f64 1/4 (/.f64 (/.f64 2 x) (/.f64 (/.f64 1/4 x) x)))
(*.f64 2 x)
(+.f64 x x)
(.f64 -1/2 (.f64 x -4))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 16) 1/8)
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x -4) -1/2)
(*.f64 2 x)
(+.f64 x x)
(*.f64 (/.f64 1 x) (/.f64 1 (/.f64 (/.f64 1/2 x) x)))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 1/4) 8)
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 1/4) (/.f64 x (*.f64 x 1/8)))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 1/4) (+.f64 4 (/.f64 (*.f64 4 x) x)))
(*.f64 2 x)
(+.f64 x x)
(.f64 -1 (.f64 x -2))
(*.f64 2 x)
(+.f64 x x)
(.f64 1/8 (.f64 x 16))
(*.f64 2 x)
(+.f64 x x)
(*.f64 1/8 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)))
(*.f64 2 x)
(+.f64 x x)
(*.f64 (/.f64 1/4 x) (/.f64 2 (/.f64 (/.f64 1/4 x) x)))
(*.f64 2 x)
(+.f64 x x)
(.f64 (/.f64 x (.f64 x 1/8)) (*.f64 x 1/4))
(*.f64 2 x)
(+.f64 x x)
(*.f64 (/.f64 2 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/4 x))
(*.f64 2 x)
(+.f64 x x)
(*.f64 (/.f64 (/.f64 2 x) (/.f64 (/.f64 1/4 x) x)) 1/4)
(*.f64 2 x)
(+.f64 x x)
(*.f64 (/.f64 1 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/2 x))
(*.f64 2 x)
(+.f64 x x)
(*.f64 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)) 1/8)
(*.f64 2 x)
(+.f64 x x)
(*.f64 (/.f64 1 (/.f64 (/.f64 1/2 x) x)) (/.f64 1 x))
(*.f64 2 x)
(+.f64 x x)
(*.f64 (/.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 2 x))
(*.f64 2 x)
(+.f64 x x)
(.f64 (/.f64 (.f64 4 x) x) (*.f64 x 1/2))
(*.f64 2 x)
(+.f64 x x)
(pow.f64 (+.f64 x x) 1)
(*.f64 2 x)
(+.f64 x x)
(neg.f64 (*.f64 x -2))
(*.f64 2 x)
(+.f64 x x)
(neg.f64 (/.f64 -8 (/.f64 4 x)))
(*.f64 2 x)
(+.f64 x x)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
✓	0.2b	(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
✓	1.6b	(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
✓	2.2b	(+.f64 (cos.f64 x) -1)

Compiler

Compiled 39 to 22 computations (43.6% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	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))
0.0ms	x	@	0	(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))

rewrite171.0ms (0.7%)

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)))))))
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(+.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)))))))

simplify182.0ms (0.8%)

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))))
(/.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))))
(/.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))))
(/.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))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 1/2 (/.f64 (+.f64 (.f64 (cos.f64 x) 2) -2) (neg.f64 (sin.f64 x))))
(.f64 1/2 (/.f64 (+.f64 (.f64 2 (cos.f64 x)) -2) (neg.f64 (sin.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/2) (/.f64 2 (neg.f64 (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 1/4 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (neg.f64 (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 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) 2)
(-.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 (sin.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 (+.f64 (cos.f64 x) -1) (neg.f64 (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 (sin.f64 x) (-.f64 1 (cos.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))))
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(/.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))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
✓	0.2b	(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
✓	0.2b	(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
	2.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 41 to 18 computations (56.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite113.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`rational.json-simplify-35`
1104×	`exponential.json-3`
1104×	`rational.json-1`
1104×	`rational.json-2`
1104×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	72
1	92	72
2	283	52
3	983	52
4	3594	52

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

Outputs

((#(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 (neg.f64 (/.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 (neg.f64 (/.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 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.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 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1/2))))) (#(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 (sin.f64 (neg.f64 x)) (/.f64 -1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (neg.f64 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 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 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 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(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 (sin.f64 x) 4) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.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 (cos.f64 x) -1) 2) (/.f64 1 (*.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (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 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule 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simplify109.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1788×	`rational.json-simplify-35`
1422×	`rational.json-simplify-49`
1280×	`rational.json-simplify-46`
988×	`rational.json-simplify-53`
918×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	4218
1	770	4206
2	2113	4198
3	6321	4198

Stop Event

1×	node limit

Counts

142 → 147

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))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 0 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (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 (sin.f64 x) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 2))
(.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) 1/2))
(.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 (sin.f64 (neg.f64 x)) (/.f64 -1 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(.f64 (sin.f64 (neg.f64 x)) (.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
(.f64 2 (/.f64 (sin.f64 x) (.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2)))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(*.f64 -1 (neg.f64 (/.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 (sin.f64 x) 4) (/.f64 1 (.f64 (sin.f64 x) (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 2) (/.f64 1 (*.f64 (sin.f64 x) -2)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) 2) (*.f64 (sin.f64 x) 2))
(.f64 (/.f64 -1 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (sin.f64 (neg.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 (sin.f64 x) -2) (/.f64 1 (.f64 2 (.f64 (sin.f64 (neg.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) 1/2) (.f64 (sin.f64 x) 2))
(.f64 (.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 (neg.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2)) 2)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) 2)
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 1 (.f64 (sin.f64 x) -2)) (*.f64 (+.f64 (cos.f64 x) -1) 2))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 x) (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (.f64 (sin.f64 x) 4))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(.f64 (/.f64 1 (.f64 2 (.f64 (sin.f64 (neg.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (.f64 (sin.f64 x) -2))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 0)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(-.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 0)
(-.f64 0 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) 2)))
(/.f64 1 (-.f64 0 (/.f64 -1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1)
(/.f64 (.f64 (sin.f64 x) 2) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2) 2)
(/.f64 (sin.f64 (neg.f64 x)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (sin.f64 (neg.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 2 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (sin.f64 x)))
(/.f64 -1 (/.f64 -1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 -1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 (neg.f64 x))))
(/.f64 -1 (-.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (.f64 (sin.f64 x) 4) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) 4)
(/.f64 (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (.f64 2 (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 2 (sin.f64 x)))
(/.f64 4 (/.f64 (*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (sin.f64 x)))
(/.f64 4 (+.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 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) -1)
(/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 -1 (sin.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 0 (/.f64 -1 (sin.f64 x))))
(/.f64 8 (+.f64 (/.f64 (.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (sin.f64 x)) (/.f64 (.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (sin.f64 x))))
(/.f64 (.f64 2 (.f64 (sin.f64 (neg.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) -2)
(/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (.f64 2 (.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (sin.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (sin.f64 x))))
(/.f64 (.f64 2 (.f64 (sin.f64 x) (*.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) 8)
(/.f64 (.f64 2 (.f64 (sin.f64 x) (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 (.f64 2 (*.f64 (sin.f64 x) 4)) (sin.f64 x)))
(/.f64 (*.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 4 (sin.f64 x)))
(/.f64 (*.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (+.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 2 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (.f64 2 (/.f64 -1 (sin.f64 x))))
(/.f64 (*.f64 2 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 -2 (sin.f64 x)))
(/.f64 -2 (+.f64 (/.f64 -1 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 -1 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(/.f64 -2 (+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 (neg.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 (neg.f64 x)))))
(/.f64 (.f64 2 (.f64 (sin.f64 x) -2)) (+.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) 2) (sin.f64 x)) (/.f64 (.f64 (+.f64 (cos.f64 x) -1) 2) (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2) (/.f64 1/2 (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 2 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (.f64 (sin.f64 x) -2) (/.f64 (.f64 (+.f64 (cos.f64 x) -1) 2) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) -2) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) -2) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2)) -2)
(/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (+.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))
(/.f64 1/2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 2))
(/.f64 -1/2 (-.f64 0 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 2)))
(/.f64 (.f64 2 (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (+.f64 (/.f64 4 (sin.f64 x)) (/.f64 4 (sin.f64 x))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (+.f64 (/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (sin.f64 x)) (/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (sin.f64 x))))
(/.f64 (.f64 2 (.f64 2 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (+.f64 (/.f64 -2 (sin.f64 x)) (/.f64 -2 (sin.f64 x))))
(/.f64 (.f64 2 (neg.f64 (.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2))) -4)
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) -1)
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 4)
(/.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (+.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))))) -2)
(/.f64 (+.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)))) 8)
(/.f64 (+.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))) (*.f64 (sin.f64 x) 2))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) (+.f64 (cos.f64 x) -1))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2)) (-.f64 0 (/.f64 1/2 (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))) (sin.f64 (neg.f64 x)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1)
(neg.f64 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (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 1/24 (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 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)))))
(/.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))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 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 2 (.f64 -1/2 (pow.f64 x 2))))
(+.f64 2 (+.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 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))) 2))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))) (+.f64 2 (*.f64 -1/720 (pow.f64 x 6))))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.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 (neg.f64 (/.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 (neg.f64 (/.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 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (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))
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(/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (.f64 2 (.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (sin.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 (sin.f64 x) (*.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) 8)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 (sin.f64 x) (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 (.f64 2 (*.f64 (sin.f64 x) 4)) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 4 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (+.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (.f64 2 (/.f64 -1 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 2 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 -2 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 -2 (+.f64 (/.f64 -1 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 -1 (.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) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 -2 (+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 (neg.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 (neg.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 (sin.f64 x) -2)) (+.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) 2) (sin.f64 x)) (/.f64 (.f64 (+.f64 (cos.f64 x) -1) 2) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2) (/.f64 1/2 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 2 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 (sin.f64 x) -2) (/.f64 (.f64 (+.f64 (cos.f64 x) -1) 2) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 (sin.f64 x) -2) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) -2) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2)) -2)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (+.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 1/2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 2))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 -1/2 (-.f64 0 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 2)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (+.f64 (/.f64 4 (sin.f64 x)) (/.f64 4 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) -4)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) 16)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (+.f64 (/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (sin.f64 x)) (/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 2 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (+.f64 (/.f64 -2 (sin.f64 x)) (/.f64 -2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (neg.f64 (.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2))) -4)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (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) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) -1)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 4)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (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)))) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (+.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))))) -2)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (+.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)))) 8)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))) (*.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) (+.f64 (cos.f64 x) -1))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2)) (-.f64 0 (/.f64 1/2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))) (sin.f64 (neg.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(neg.f64 (*.f64 (sin.f64 (neg.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) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
✓	0.2b	(/.f64 (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
	2.2b	(+.f64 (cos.f64 x) -1)
	2.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 81 to 42 computations (48.1% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.f64 (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
1.0ms	x	@	-inf	(/.f64 (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
0.0ms	x	@	0	(/.f64 (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
0.0ms	x	@	0	(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
0.0ms	x	@	inf	(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))

rewrite99.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`exponential.json-3`
1776×	`rational.json-1`
1776×	`rational.json-2`
1776×	`rational.json-4`
1776×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	120
1	129	120
2	403	120
3	1673	120
4	5312	120

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

Inputs

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

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

Outputs

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

simplify104.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1234×	`rational.json-simplify-35`
664×	`rational.json-simplify-50`
628×	`rational.json-simplify-51`
614×	`rational.json-simplify-44`
586×	`rational.json-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	5538
1	1333	5426
2	4889	5156

Stop Event

1×	node limit

Counts

172 → 199

Calls

Call 1

Inputs
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -17/2880 (pow.f64 x 6)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (.f64 -17/2880 (pow.f64 x 6)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -31/40320 (pow.f64 x 8)))))
(/.f64 (*.f64 (-.f64 (cos.f64 x) 1) (-.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 (cos.f64 x) 1) (-.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 (cos.f64 x) 1) (-.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 (cos.f64 x) 1) (-.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 (cos.f64 x) 1) (-.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 (cos.f64 x) 1) (-.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 (cos.f64 x) 1) (-.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 (cos.f64 x) 1) (-.f64 1 (cos.f64 x))) (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 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) 0)
(+.f64 0 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))))
(-.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) 0)
(-.f64 0 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 1 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) 1))
(.f64 (-.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 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) 1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 (sin.f64 x) 2))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 2 (.f64 (sin.f64 x) 4)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) 2))) 1))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2)))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (*.f64 1/2 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (.f64 (/.f64 1 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2)) 1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 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) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) 1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (.f64 (/.f64 2 (.f64 (sin.f64 x) 4)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (+.f64 (cos.f64 x) -1))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 1 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 (sin.f64 x) 2))) (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 1 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (*.f64 (-.f64 1 (cos.f64 x)) -2))
(pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) 1)
(+.f64 (.f64 (sin.f64 x) (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 x) -1))) 0)
(+.f64 0 (.f64 (sin.f64 x) (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 x) -1))))
(-.f64 (.f64 (sin.f64 x) (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 x) -1))) 0)
(/.f64 1 (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))
(/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))
(/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (+.f64 (cos.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 (cos.f64 x) -1) (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)))))
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 -1 (.f64 (+.f64 (cos.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)) (*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) -1))
(/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)))) -1))
(/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1))) 2))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 (neg.f64 x))) 2))
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(/.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 (sin.f64 x) 2)))
(/.f64 (+.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2))
(/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (sin.f64 x) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (.f64 2 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) 2))))
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 4))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)))
(/.f64 (+.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 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)))
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (.f64 2 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 4)))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4))
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (*.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2))
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))) (neg.f64 (.f64 (+.f64 (cos.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)) 2))
(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) -2))) (neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))))) (-.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2)))
(/.f64 (neg.f64 (/.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))))) (+.f64 (cos.f64 x) -1))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 x) 4) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))))) (-.f64 0 (*.f64 (+.f64 (cos.f64 x) -1) 4)))
(/.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (-.f64 0 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 0 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) 2))))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (neg.f64 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2)))
(/.f64 (neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 0 (.f64 (sin.f64 x) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (-.f64 0 (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)) 2))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 0 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 4)))
(/.f64 (neg.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (neg.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (sin.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(pow.f64 (.f64 (sin.f64 x) (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 x) -1))) 1)

Outputs
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 -17/2880 (pow.f64 x 6)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 -17/2880 (pow.f64 x 6))))
(+.f64 (.f64 -17/2880 (pow.f64 x 6)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -31/40320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -31/40320 (pow.f64 x 8))) (.f64 -17/2880 (pow.f64 x 6))))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -17/2880 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -31/40320 (pow.f64 x 8)))))
(/.f64 (*.f64 (-.f64 (cos.f64 x) 1) (-.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (cos.f64 x) 1) (-.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (cos.f64 x) 1) (-.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (cos.f64 x) 1) (-.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (cos.f64 x) 1) (-.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (cos.f64 x) 1) (-.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (cos.f64 x) 1) (-.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (cos.f64 x) 1) (-.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (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 1/2 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 1/240 (pow.f64 x 5)) (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7))) (.f64 x 1/2)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.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 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) 0)
(.f64 (+.f64 (cos.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)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(+.f64 0 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (+.f64 (cos.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)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(-.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) 0)
(.f64 (+.f64 (cos.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)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(-.f64 0 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (+.f64 (cos.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)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(.f64 1 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (+.f64 (cos.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)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))
(.f64 (+.f64 (cos.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)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(.f64 (+.f64 (cos.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)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) 1))
(.f64 (+.f64 (cos.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)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(.f64 (+.f64 (cos.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)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (+.f64 (cos.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)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(.f64 (+.f64 (cos.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 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(.f64 (+.f64 (cos.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)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(.f64 (/.f64 -1 (sin.f64 x)) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (+.f64 (cos.f64 x) -1)))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 -1 (sin.f64 x))))
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(/.f64 (+.f64 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 x) -1))) 4) (.f64 (.f64 (sin.f64 x) (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 x) -1))) 4)) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)))) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))))) (*.f64 (-.f64 1 (cos.f64 x)) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)))) (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))))) (*.f64 (+.f64 (cos.f64 x) -1) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)))) (/.f64 (sin.f64 (neg.f64 x)) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) 4) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)))) (/.f64 (.f64 (sin.f64 x) 4) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))))) (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (sin.f64 x) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (.f64 2 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.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 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)))
(/.f64 (+.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 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) -2)) (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) -2))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (*.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) -2)) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (.f64 2 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (*.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))) (neg.f64 (.f64 (+.f64 (cos.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)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) -2))) (neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))))) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))))) (+.f64 (cos.f64 x) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 x) 4) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))))) (-.f64 0 (*.f64 (+.f64 (cos.f64 x) -1) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (-.f64 0 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 0 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (neg.f64 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 0 (.f64 (sin.f64 x) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (-.f64 0 (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 0 (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (neg.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (sin.f64 (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(pow.f64 (.f64 (sin.f64 x) (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 x) -1))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

eval522.0ms (2.2%)

Compiler: Compiled 17991 to 10673 computations (40.7% saved)

prune460.0ms (1.9%)

Pruning

38 alts after pruning (31 fresh and 7 done)

	Pruned	Kept	Total
New	835	14	849
Fresh	5	17	22
Picked	0	1	1
Done	0	6	6
Total	840	38	878

Error

0.2b

Counts

878 → 38

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	32.7b	(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
	34.3b	(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))
	33.6b	(/.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))
	33.7b	(/.f64 (sin.f64 x) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
	34.8b	(/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (/.f64 (.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))))
✓	32.6b	(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
✓	24.1b	(/.f64 (sin.f64 x) 2)
	32.6b	(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
	32.6b	(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
	32.6b	(-.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
✓	32.6b	(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
	34.5b	(+.f64 -1 (-.f64 1 (*.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)))))
	60.4b	(+.f64 -1 (-.f64 1 (*.f64 -1/2 x)))
▶	32.6b	(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))
▶	61.3b	(+.f64 -1 1)
	32.5b	(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
	34.5b	(.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))
▶	34.4b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 -1 (+.f64 (cos.f64 x) -1)))
	34.4b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))) (/.f64 (sin.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x)))))
	34.4b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))) (neg.f64 (sin.f64 x))))
✓	34.4b	(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
	34.4b	(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))))
✓	28.9b	(*.f64 (/.f64 4 (/.f64 2 x)) 1/4)
	32.7b	(*.f64 (/.f64 4 (+.f64 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) -1)) 1/4)
	28.7b	(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/360 (pow.f64 x 3))))) 1/4)
▶	28.6b	(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (*.f64 2 (/.f64 1 x)))) 1/4)
	32.6b	(.f64 (/.f64 4 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x))) 1/4)
	32.6b	(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
▶	32.6b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	34.4b	(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
	60.4b	(.f64 (+.f64 -1 (-.f64 1 (.f64 x -2))) 1/4)
	44.4b	(.f64 (.f64 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)) 1/8) 1/4)
	32.6b	(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (*.f64 2 (sin.f64 x)))
	44.0b	(.f64 (.f64 (/.f64 8 x) (.f64 x (.f64 x 1/4))) 1/4)
	44.4b	(.f64 (.f64 (/.f64 2 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/4 x)) 1/4)
	34.4b	(.f64 (sin.f64 x) (neg.f64 (.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)))))
✓	28.8b	(*.f64 1/2 x)

Compiler

Compiled 1287 to 888 computations (31% saved)

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 4 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x))))
✓	0.3b	(*.f64 x -1/6)

Compiler

Compiled 51 to 41 computations (19.6% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 x -1/6)
0.0ms	x	@	inf	(/.f64 4 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x))))
0.0ms	x	@	-inf	(*.f64 x -1/6)
0.0ms	x	@	inf	(*.f64 x -1/6)
0.0ms	x	@	-inf	(/.f64 4 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x))))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1658×	`rational.json-1`
1658×	`rational.json-2`
1658×	`rational.json-3`
1196×	`rational.json-simplify-35`
992×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	93	38
2	206	38
3	439	38
4	1012	32
5	3076	32
6	6995	32

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

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 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (+.f64 (*.f64 x -1/3) (/.f64 4 x))) (/.f64 4 (+.f64 (*.f64 x -1/3) (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 2 (+.f64 (*.f64 x -1/3) (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 4 (+.f64 (*.f64 x -1/3) (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) (/.f64 1/4 (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (+.f64 (*.f64 x -1/6) (/.f64 2 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/4) (/.f64 4 (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/2) (/.f64 2 (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 4 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 8 (+.f64 (*.f64 x -1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 (*.f64 x -1/3) (/.f64 4 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (/.f64 (+.f64 (*.f64 x -1/3) (/.f64 4 x)) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/8) (/.f64 4 (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 (*.f64 x -1/3) (/.f64 4 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/16))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x -1/3) (/.f64 4 x)) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/16))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/8))) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/4))) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/16))) (+.f64 (*.f64 x -1/6) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/4))) (*.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -4 (+.f64 (*.f64 x -1/6) (/.f64 2 x))))))))

simplify117.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1626×	`rational.json-simplify-39`
1468×	`rational.json-simplify-51`
1050×	`rational.json-simplify-1`
962×	`rational.json-simplify-53`
738×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	128	2115
1	264	2115
2	525	2067
3	1372	2067
4	4507	2043
5	7422	2043

Stop Event

1×	node limit

Counts

63 → 78

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 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 1/72 (pow.f64 x 5))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/864 (pow.f64 x 7)) (+.f64 (.f64 2 x) (.f64 1/72 (pow.f64 x 5)))))
(/.f64 -24 x)
(neg.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 24 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 3456 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (*.f64 24 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 41472 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 3456 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 24 (/.f64 1 x))))))
(/.f64 -24 x)
(neg.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 24 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 3456 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (*.f64 24 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 41472 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 3456 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 24 (/.f64 1 x))))))
(+.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 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x))) 0)
(+.f64 0 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x))))
(+.f64 (/.f64 4 (+.f64 (.f64 x -1/3) (/.f64 4 x))) (/.f64 4 (+.f64 (.f64 x -1/3) (/.f64 4 x))))
(-.f64 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x))) 0)
(.f64 4 (/.f64 2 (+.f64 (.f64 x -1/3) (/.f64 4 x))))
(.f64 2 (/.f64 4 (+.f64 (.f64 x -1/3) (/.f64 4 x))))
(.f64 1 (/.f64 4 (+.f64 (.f64 x -1/6) (/.f64 2 x))))
(.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (/.f64 1/4 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/16))))
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (/.f64 2 x))) 1)
(.f64 (/.f64 8 (+.f64 (.f64 x -1/6) (/.f64 2 x))) 1/2)
(.f64 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/4) (/.f64 4 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/4))))
(.f64 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/2) (/.f64 2 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/4))))
(.f64 (.f64 4 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x)))) 1/4)
(.f64 1/4 (.f64 4 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x)))))
(.f64 1/4 (/.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/16))))
(.f64 1/2 (/.f64 8 (+.f64 (.f64 x -1/6) (/.f64 2 x))))
(.f64 (/.f64 2 (+.f64 (.f64 x -1/3) (/.f64 4 x))) 4)
(.f64 1/8 (/.f64 (+.f64 (.f64 x -1/3) (/.f64 4 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/16))))
(.f64 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/8) (/.f64 4 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/8))))
(.f64 (/.f64 4 (+.f64 (.f64 x -1/3) (/.f64 4 x))) 2)
(.f64 (/.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/16))) 1/4)
(.f64 (/.f64 (+.f64 (.f64 x -1/3) (/.f64 4 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/16))) 1/8)
(.f64 (/.f64 4 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/8))) (.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/8))
(.f64 (/.f64 4 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/4))) (.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/4))
(.f64 (/.f64 1/4 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/16))) (+.f64 (.f64 x -1/6) (/.f64 2 x)))
(.f64 (/.f64 2 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/4))) (.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/2))
(pow.f64 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x))) 1)
(neg.f64 (/.f64 -4 (+.f64 (*.f64 x -1/6) (/.f64 2 x))))

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 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 x 2) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 x x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 1/72 (pow.f64 x 5))))
(+.f64 (.f64 x 2) (+.f64 (.f64 1/72 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 x 2) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/72 (pow.f64 x 5))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/72 (pow.f64 x 5)) (+.f64 x x)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 x (.f64 1/72 (pow.f64 x 5)))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/864 (pow.f64 x 7)) (+.f64 (.f64 2 x) (.f64 1/72 (pow.f64 x 5)))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 x 2) (.f64 1/72 (pow.f64 x 5))) (.f64 1/864 (pow.f64 x 7))))
(+.f64 (.f64 x 2) (+.f64 (+.f64 (.f64 1/72 (pow.f64 x 5)) (.f64 1/864 (pow.f64 x 7))) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/72 (pow.f64 x 5)) (+.f64 x x))) (*.f64 1/864 (pow.f64 x 7)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/72 (pow.f64 x 5)) (+.f64 (*.f64 1/864 (pow.f64 x 7)) (+.f64 x x))))
(/.f64 -24 x)
(neg.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 24 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 3456 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (*.f64 24 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 24 (/.f64 1 x)) (*.f64 3456 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (.f64 41472 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 3456 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 24 (/.f64 1 x))))))
(neg.f64 (+.f64 (.f64 3456 (/.f64 1 (pow.f64 x 5))) (+.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 24 (/.f64 1 x))) (.f64 41472 (/.f64 1 (pow.f64 x 7))))))
(neg.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (.f64 24 (/.f64 1 x)) (.f64 3456 (/.f64 1 (pow.f64 x 5)))) (.f64 41472 (/.f64 1 (pow.f64 x 7))))))
(neg.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 41472 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 24 (/.f64 1 x)) (.f64 3456 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (.f64 24 (/.f64 1 x)) (.f64 41472 (/.f64 1 (pow.f64 x 7)))) (.f64 3456 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (.f64 24 (/.f64 1 x)) (+.f64 (.f64 41472 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 3456 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 -24 x)
(neg.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 24 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 3456 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (*.f64 24 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 24 (/.f64 1 x)) (*.f64 3456 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (.f64 41472 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 3456 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 24 (/.f64 1 x))))))
(neg.f64 (+.f64 (.f64 3456 (/.f64 1 (pow.f64 x 5))) (+.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 24 (/.f64 1 x))) (.f64 41472 (/.f64 1 (pow.f64 x 7))))))
(neg.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (.f64 24 (/.f64 1 x)) (.f64 3456 (/.f64 1 (pow.f64 x 5)))) (.f64 41472 (/.f64 1 (pow.f64 x 7))))))
(neg.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 41472 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 24 (/.f64 1 x)) (.f64 3456 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (.f64 24 (/.f64 1 x)) (.f64 41472 (/.f64 1 (pow.f64 x 7)))) (.f64 3456 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (.f64 24 (/.f64 1 x)) (+.f64 (.f64 41472 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 3456 (/.f64 1 (pow.f64 x 5)))))))
(+.f64 (*.f64 x -1/6) 0)
(*.f64 -1/6 x)
(+.f64 0 (*.f64 x -1/6))
(*.f64 -1/6 x)
(+.f64 (.f64 x -1/12) (.f64 x -1/12))
(*.f64 -1/6 x)
(-.f64 (*.f64 x -1/6) 0)
(*.f64 -1/6 x)
(/.f64 (*.f64 x -1/6) 1)
(*.f64 -1/6 x)
(/.f64 (*.f64 x -1/3) 2)
(*.f64 -1/6 x)
(/.f64 (*.f64 x -2/3) 4)
(*.f64 -1/6 x)
(/.f64 (.f64 2 (.f64 x -2/3)) 8)
(*.f64 -1/6 x)
(/.f64 (.f64 2 (.f64 2 (*.f64 x -2/3))) 16)
(*.f64 -1/6 x)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 x -2/3))) (.f64 2 (.f64 2 (.f64 x -2/3)))) 32)
(*.f64 -1/6 x)
(pow.f64 (*.f64 x -1/6) 1)
(*.f64 -1/6 x)
(+.f64 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x))) 0)
(/.f64 4 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))
(+.f64 0 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x))))
(/.f64 4 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))
(+.f64 (/.f64 4 (+.f64 (.f64 x -1/3) (/.f64 4 x))) (/.f64 4 (+.f64 (.f64 x -1/3) (/.f64 4 x))))
(-.f64 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x))) 0)
(/.f64 4 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))
(.f64 4 (/.f64 2 (+.f64 (.f64 x -1/3) (/.f64 4 x))))
(.f64 2 (/.f64 4 (+.f64 (.f64 x -1/3) (/.f64 4 x))))
(.f64 1 (/.f64 4 (+.f64 (.f64 x -1/6) (/.f64 2 x))))
(/.f64 4 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))
(.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (/.f64 1/4 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/16))))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 (/.f64 1/4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (.f64 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)) 1/16)))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 1/4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) 1/16))))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))))
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (/.f64 2 x))) 1)
(/.f64 4 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))
(.f64 (/.f64 8 (+.f64 (.f64 x -1/6) (/.f64 2 x))) 1/2)
(.f64 (/.f64 8 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) 1/2)
(.f64 1/2 (/.f64 8 (+.f64 (.f64 -1/6 x) (/.f64 2 x))))
(.f64 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/4) (/.f64 4 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/4))))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 (/.f64 1/4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (.f64 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)) 1/16)))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 1/4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) 1/16))))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))))
(.f64 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/2) (/.f64 2 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/4))))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 (/.f64 1/4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (.f64 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)) 1/16)))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 1/4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) 1/16))))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))))
(.f64 (.f64 4 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x)))) 1/4)
(/.f64 4 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))
(.f64 1/4 (.f64 4 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x)))))
(/.f64 4 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))
(.f64 1/4 (/.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/16))))
(.f64 1/4 (/.f64 (/.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (.f64 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)) 1/16)))
(.f64 1/4 (/.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 1/16 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (.f64 -1/6 x) (/.f64 2 x))))))
(.f64 1/4 (/.f64 (+.f64 (/.f64 1/2 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (/.f64 1/2 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))) 1/16))
(.f64 1/2 (/.f64 8 (+.f64 (.f64 x -1/6) (/.f64 2 x))))
(.f64 (/.f64 8 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) 1/2)
(.f64 1/2 (/.f64 8 (+.f64 (.f64 -1/6 x) (/.f64 2 x))))
(.f64 (/.f64 2 (+.f64 (.f64 x -1/3) (/.f64 4 x))) 4)
(.f64 4 (/.f64 2 (+.f64 (.f64 x -1/3) (/.f64 4 x))))
(.f64 1/8 (/.f64 (+.f64 (.f64 x -1/3) (/.f64 4 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/16))))
(.f64 1/8 (/.f64 (/.f64 (+.f64 (.f64 x -1/3) (/.f64 4 x)) (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (.f64 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)) 1/16)))
(.f64 1/8 (/.f64 (+.f64 (.f64 x -1/3) (/.f64 4 x)) (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) 1/16))))
(.f64 1/8 (/.f64 (+.f64 (.f64 x -1/3) (/.f64 4 x)) (.f64 1/16 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (.f64 -1/6 x) (/.f64 2 x))))))
(.f64 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/8) (/.f64 4 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/8))))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 (/.f64 1/4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (.f64 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)) 1/16)))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 1/4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) 1/16))))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))))
(.f64 (/.f64 4 (+.f64 (.f64 x -1/3) (/.f64 4 x))) 2)
(.f64 2 (/.f64 4 (+.f64 (.f64 x -1/3) (/.f64 4 x))))
(.f64 (/.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/16))) 1/4)
(.f64 1/4 (/.f64 (/.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (.f64 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)) 1/16)))
(.f64 1/4 (/.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 1/16 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (.f64 -1/6 x) (/.f64 2 x))))))
(.f64 1/4 (/.f64 (+.f64 (/.f64 1/2 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (/.f64 1/2 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))) 1/16))
(.f64 (/.f64 (+.f64 (.f64 x -1/3) (/.f64 4 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/16))) 1/8)
(.f64 1/8 (/.f64 (/.f64 (+.f64 (.f64 x -1/3) (/.f64 4 x)) (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (.f64 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)) 1/16)))
(.f64 1/8 (/.f64 (+.f64 (.f64 x -1/3) (/.f64 4 x)) (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) 1/16))))
(.f64 1/8 (/.f64 (+.f64 (.f64 x -1/3) (/.f64 4 x)) (.f64 1/16 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (.f64 -1/6 x) (/.f64 2 x))))))
(.f64 (/.f64 4 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/8))) (.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/8))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 (/.f64 1/4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (.f64 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)) 1/16)))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 1/4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) 1/16))))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))))
(.f64 (/.f64 4 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/4))) (.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/4))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 (/.f64 1/4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (.f64 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)) 1/16)))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 1/4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) 1/16))))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))))
(.f64 (/.f64 1/4 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/16))) (+.f64 (.f64 x -1/6) (/.f64 2 x)))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 (/.f64 1/4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (.f64 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)) 1/16)))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 1/4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) 1/16))))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))))
(.f64 (/.f64 2 (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) 1/4))) (.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/2))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 (/.f64 1/4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (.f64 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)) 1/16)))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 1/4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) 1/16))))
(.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))))
(pow.f64 (/.f64 4 (+.f64 (*.f64 x -1/6) (/.f64 2 x))) 1)
(/.f64 4 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))
(neg.f64 (/.f64 -4 (+.f64 (*.f64 x -1/6) (/.f64 2 x))))
(/.f64 4 (+.f64 (*.f64 -1/6 x) (/.f64 2 x)))

localize2.0ms (0%)

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

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sin.f64 x))
✓	0.1b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	2.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`rational.json-1`
1736×	`rational.json-2`
1298×	`rational.json-simplify-35`
896×	`rational.json-4`
896×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	79	32
2	191	32
3	422	32
4	978	32
5	2977	32
6	7432	32

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

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

simplify81.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1636×	`rational.json-simplify-35`
1408×	`rational.json-simplify-51`
1376×	`rational.json-simplify-2`
1060×	`rational.json-simplify-46`
1058×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	2550
1	682	2550
2	1953	2520
3	5276	2518

Stop Event

1×	node limit

Counts

106 → 121

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 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 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 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (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 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 -1 (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 2)
(/.f64 4 (*.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 (sin.f64 x)) (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (sin.f64 x)))
(/.f64 -2 (neg.f64 (/.f64 (*.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 -2 (+.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 8 (.f64 2 (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 8 (/.f64 (*.f64 (sin.f64 x) 8) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 4 (sin.f64 x)) (+.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (sin.f64 x) 4))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (sin.f64 x))) 4)
(/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.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 (.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) (.f64 (*.f64 (sin.f64 x) 2) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
(/.f64 -4 (+.f64 (neg.f64 (/.f64 (.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 (.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))))
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 16 (+.f64 (/.f64 (.f64 (sin.f64 x) 8) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 8) (-.f64 1 (cos.f64 x)))))
(/.f64 16 (+.f64 (.f64 2 (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 2 (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) (.f64 (sin.f64 x) 8))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (.f64 (sin.f64 x) -2))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 8) 8)
(/.f64 (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.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 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 (.f64 (sin.f64 x) 2) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (*.f64 (sin.f64 x) 2) (/.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))) 1/2)
(/.f64 -1/2 (-.f64 0 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (.f64 (sin.f64 x) 1/2))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) 2)))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8)) (.f64 2 (.f64 (sin.f64 x) 8)))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (.f64 (neg.f64 (sin.f64 x)) 4))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) (sin.f64 x)) 8)
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 8)) 16)
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 8)) (neg.f64 (.f64 (sin.f64 x) 8)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)) 1/4)
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4)) (neg.f64 (.f64 (sin.f64 x) 4)))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 0 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) -2)) (.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4))) 1/2)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 8)) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 8))) 32)
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (.f64 (+.f64 (cos.f64 x) -1) 4)) (.f64 2 (.f64 (neg.f64 (sin.f64 x)) 4)))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) (sin.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) (sin.f64 x))) 16)
(/.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -2)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4)) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4))) (.f64 2 (neg.f64 (.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 (sin.f64 x) 4))
(/.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (-.f64 0 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (/.f64 2 (sin.f64 x))) (-.f64 0 (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2)) (-.f64 0 (.f64 (sin.f64 x) 1/2)))
(/.f64 (neg.f64 (.f64 (+.f64 (cos.f64 x) -1) 4)) (-.f64 0 (.f64 (neg.f64 (sin.f64 x)) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4))) (.f64 (sin.f64 x) 4))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4))) (-.f64 0 (neg.f64 (.f64 (sin.f64 x) 4))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) -2))) (.f64 (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)))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(+.f64 0 (/.f64 1 (sin.f64 x)))
(+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) 0)
(*.f64 1 (/.f64 1 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(*.f64 2 (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 4 (/.f64 (/.f64 1 (sin.f64 x)) 4))
(*.f64 (/.f64 2 (sin.f64 x)) 1/2)
(*.f64 (/.f64 4 (sin.f64 x)) 1/4)
(*.f64 1/2 (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 1/2 (sin.f64 x)) 2)
(.f64 (.f64 (sin.f64 x) 1/2) (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)))
(*.f64 1/4 (/.f64 4 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) 1/2))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 4) 4)
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) 2))
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(neg.f64 (/.f64 -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 1/240 (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 (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 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/6))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (.f64 x 1/6) (+.f64 (/.f64 1 x) (.f64 (pow.f64 x 3) 7/360)))
(+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) 7/360) (.f64 x 1/6)))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (.f64 x 1/6) (+.f64 (+.f64 (/.f64 1 x) (.f64 (pow.f64 x 3) 7/360)) (*.f64 (pow.f64 x 5) 31/15120)))
(+.f64 (+.f64 (/.f64 1 x) (.f64 (pow.f64 x 3) 7/360)) (+.f64 (.f64 (pow.f64 x 5) 31/15120) (*.f64 x 1/6)))
(+.f64 (.f64 x 1/6) (+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) 7/360) (*.f64 (pow.f64 x 5) 31/15120))))
(+.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 (.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 1 (/.f64 (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 (cos.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)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (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 2 (/.f64 (*.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -1 (neg.f64 (/.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)) 2) (.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))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 4 (*.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 2 (sin.f64 x)) (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.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 -2 (neg.f64 (/.f64 (*.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -2 (+.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 8 (.f64 2 (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 8 (/.f64 (*.f64 (sin.f64 x) 8) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 4 (sin.f64 x)) (+.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (sin.f64 x) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (sin.f64 x))) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.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 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (sin.f64 x))))
(/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.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 1 (cos.f64 x))) (.f64 (*.f64 (sin.f64 x) 2) (/.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 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (sin.f64 x))))
(/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 -4 (+.f64 (neg.f64 (/.f64 (.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 (.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 16 (+.f64 (/.f64 (.f64 (sin.f64 x) 8) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (sin.f64 x) 8) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 16 (+.f64 (.f64 2 (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 2 (.f64 4 (/.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)) 8) (.f64 (sin.f64 x) 8))
(/.f64 (-.f64 1 (cos.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 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 8) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.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 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 4 (.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 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2))
(*.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 (cos.f64 x)))))
(+.f64 (/.f64 1 (/.f64 (sin.f64 x) (.f64 1/2 (-.f64 1 (cos.f64 x))))) (/.f64 1 (/.f64 (sin.f64 x) (.f64 1/2 (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 (.f64 (sin.f64 x) 2) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (.f64 (*.f64 (sin.f64 x) 2) (/.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 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (sin.f64 x))))
(/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 -1/2 (-.f64 0 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (.f64 (sin.f64 x) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8)) (.f64 2 (.f64 (sin.f64 x) 8)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (.f64 (neg.f64 (sin.f64 x)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) (sin.f64 x)) 8)
(/.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 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 8)) 16)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 8)) (neg.f64 (.f64 (sin.f64 x) 8)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)) 1/4)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4)) (neg.f64 (.f64 (sin.f64 x) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 0 (*.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 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (sin.f64 x))))
(/.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) -2)) (.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.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))) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 8)) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 8))) 32)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (.f64 (+.f64 (cos.f64 x) -1) 4)) (.f64 2 (.f64 (neg.f64 (sin.f64 x)) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) (sin.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) (sin.f64 x))) 16)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4)) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4))) (.f64 2 (neg.f64 (.f64 (sin.f64 x) 4))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) -2)) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) -2))) (*.f64 (sin.f64 x) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (-.f64 0 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 2 (sin.f64 x))) (-.f64 0 (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2)) (-.f64 0 (.f64 (sin.f64 x) 1/2)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (+.f64 (cos.f64 x) -1) 4)) (-.f64 0 (.f64 (neg.f64 (sin.f64 x)) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4))) (.f64 (sin.f64 x) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4))) (-.f64 0 (neg.f64 (.f64 (sin.f64 x) 4))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) -2))) (.f64 (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))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(+.f64 0 (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(-.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(*.f64 1 (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(/.f64 1 (sin.f64 x))
(*.f64 2 (/.f64 1/2 (sin.f64 x)))
(*.f64 (/.f64 1/2 (sin.f64 x)) 2)
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (sin.f64 x) (.f64 2 (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 4 (/.f64 (/.f64 1 (sin.f64 x)) 4))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 2 (sin.f64 x)) 1/2)
(*.f64 1/2 (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 4 (sin.f64 x)) 1/4)
(*.f64 1/2 (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 1/2 (sin.f64 x)) 2)
(.f64 (.f64 (sin.f64 x) 1/2) (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 1/2 (sin.f64 x)) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 1/2 (.f64 (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x)))
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 1/4 (/.f64 4 (sin.f64 x)))
(*.f64 (/.f64 4 (sin.f64 x)) 1/4)
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) 1/2))
(.f64 (.f64 1/2 (sin.f64 x)) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 1/2 (.f64 (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x)))
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 4) 4)
(/.f64 1 (sin.f64 x))
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) 2))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (sin.f64 x) (.f64 2 (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x)))))
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(/.f64 1 (sin.f64 x))
(neg.f64 (/.f64 -1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))

localize24.0ms (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)
✓	1.6b	(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1))
	2.2b	(+.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	@	inf	(+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
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 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)))

rewrite161.0ms (0.7%)

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)))))

simplify201.0ms (0.8%)

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

localize81.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
✓	0.2b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 -1 (+.f64 (cos.f64 x) -1)))
	2.2b	(+.f64 (cos.f64 x) -1)
	2.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 60 to 33 computations (45% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1732×	`rational.json-simplify-35`
1064×	`exponential.json-3`
1064×	`rational.json-1`
1064×	`rational.json-2`
1064×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	96
1	114	96
2	307	90
3	871	90
4	3001	90

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

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

Outputs

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simplify144.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1358×	`rational.json-simplify-35`
1314×	`rational.json-simplify-2`
784×	`rational.json-simplify-50`
710×	`rational.json-simplify-61`
690×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	414	10404
1	1320	7136
2	4940	6618

Stop Event

1×	node limit

Counts

192 → 250

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 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))
(.f64 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))
(.f64 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))
(.f64 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))
(.f64 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))
(.f64 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))
(.f64 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))
(.f64 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))
(*.f64 1/4 (pow.f64 x 3))
(+.f64 (.f64 1/4 (pow.f64 x 3)) (.f64 1/960 (pow.f64 x 7)))
(+.f64 (.f64 1/12096 (pow.f64 x 9)) (+.f64 (.f64 1/4 (pow.f64 x 3)) (*.f64 1/960 (pow.f64 x 7))))
(+.f64 (.f64 1/115200 (pow.f64 x 11)) (+.f64 (.f64 1/12096 (pow.f64 x 9)) (+.f64 (.f64 1/4 (pow.f64 x 3)) (.f64 1/960 (pow.f64 x 7)))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
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(/.f64 (/.f64 (.f64 2 (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) 4)
(/.f64 (/.f64 -8 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (+.f64 -2 (*.f64 (cos.f64 x) 2)) 4))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (cos.f64 x) -1)) -1)
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) 2)) 1/2)
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (+.f64 (cos.f64 x) -1))
(/.f64 (+.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 1 (+.f64 (cos.f64 x) -1))) (+.f64 (neg.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (neg.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(/.f64 (+.f64 (/.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) -1))) (/.f64 (*.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (+.f64 -2 (*.f64 (cos.f64 x) 2)))
(/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) 4)) (.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) 4))) 16)
(/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) -2))
(/.f64 (+.f64 (/.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x)))) (*.f64 4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) 4))
(/.f64 (+.f64 (/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (-.f64 1 (cos.f64 x)))) (.f64 2 (.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) 4)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 4) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 4) (-.f64 1 (cos.f64 x)))) 8)
(/.f64 (+.f64 (/.f64 -1 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 -1 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (+.f64 -2 (*.f64 (cos.f64 x) 2)))
(/.f64 (+.f64 (/.f64 -2 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 -2 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (*.f64 (+.f64 (cos.f64 x) -1) 4))
(/.f64 (+.f64 (/.f64 -4 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 -4 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) 4))
(/.f64 (+.f64 (/.f64 (.f64 2 (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 (.f64 2 (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) 8)
(/.f64 (+.f64 (/.f64 -8 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 -8 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (.f64 2 (.f64 (+.f64 -2 (*.f64 (cos.f64 x) 2)) 4)))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (cos.f64 x) -1)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (cos.f64 x) -1))) -2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) 2))) 1)
(/.f64 (neg.f64 (/.f64 2 (-.f64 1 (cos.f64 x)))) (-.f64 0 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))) (+.f64 -2 (*.f64 (cos.f64 x) 2)))
(/.f64 (neg.f64 (/.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) -1))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) -2))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (/.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 (.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (-.f64 1 (cos.f64 x)))) (-.f64 0 (.f64 (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) 4)))
(/.f64 (neg.f64 (/.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (-.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (neg.f64 (/.f64 -4 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (neg.f64 (.f64 (+.f64 (cos.f64 x) -1) 4)))
(/.f64 (neg.f64 (/.f64 -8 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (-.f64 0 (.f64 (+.f64 -2 (*.f64 (cos.f64 x) 2)) 4)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (-.f64 1 (cos.f64 x)))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) 1)
(neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (cos.f64 x) -1)))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(+.f64 0 (*.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))) 0)
(.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.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))) 1)
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))
(.f64 -2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -2)) (-.f64 1 (cos.f64 x))))
(.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) -2)))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) 1/2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (/.f64 2 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))))
(*.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) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 2 (/.f64 2 (-.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) (+.f64 (cos.f64 x) -1))) -1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))) (/.f64 -1 (sin.f64 x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) 2)
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) -2)) (+.f64 -2 (*.f64 (cos.f64 x) 2)))
(.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.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 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.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 1/2 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 1/240 (pow.f64 x 5)) (.f64 1/2 x))))
(+.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 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))
(*.f64 -1 (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)) (+.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))))
(.f64 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))
(*.f64 -1 (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)) (+.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))))
(.f64 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))
(*.f64 -1 (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)) (+.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))))
(.f64 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))
(*.f64 -1 (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)) (+.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))))
(.f64 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))
(*.f64 -1 (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)) (+.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))))
(.f64 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))
(*.f64 -1 (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)) (+.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))))
(.f64 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))
(*.f64 -1 (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)) (+.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))))
(.f64 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))
(*.f64 -1 (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x)) (+.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))))
(*.f64 1/4 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/4)
(+.f64 (.f64 1/4 (pow.f64 x 3)) (.f64 1/960 (pow.f64 x 7)))
(+.f64 (.f64 (pow.f64 x 3) 1/4) (.f64 (pow.f64 x 7) 1/960))
(+.f64 (.f64 1/12096 (pow.f64 x 9)) (+.f64 (.f64 1/4 (pow.f64 x 3)) (*.f64 1/960 (pow.f64 x 7))))
(+.f64 (.f64 (pow.f64 x 3) 1/4) (+.f64 (.f64 (pow.f64 x 7) 1/960) (*.f64 1/12096 (pow.f64 x 9))))
(+.f64 (.f64 1/115200 (pow.f64 x 11)) (+.f64 (.f64 1/12096 (pow.f64 x 9)) (+.f64 (.f64 1/4 (pow.f64 x 3)) (.f64 1/960 (pow.f64 x 7)))))
(+.f64 (.f64 1/12096 (pow.f64 x 9)) (+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/4) (.f64 (pow.f64 x 7) 1/960)) (.f64 1/115200 (pow.f64 x 11))))
(+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/4) (.f64 (pow.f64 x 7) 1/960)) (+.f64 (.f64 1/115200 (pow.f64 x 11)) (.f64 1/12096 (pow.f64 x 9))))
(+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/4) (.f64 (pow.f64 x 7) 1/960)) (+.f64 (.f64 1/12096 (pow.f64 x 9)) (.f64 1/115200 (pow.f64 x 11))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (sin.f64 x))
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(/.f64 (neg.f64 (/.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) -1))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) -2))
(/.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 -2 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) -2))
(/.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) 2) (+.f64 (.f64 (cos.f64 x) 2) -4)) (*.f64 2 (sin.f64 x))) -2)
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (.f64 (sin.f64 x) (*.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (+.f64 -1 (cos.f64 x)))))
(/.f64 (neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 (.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
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(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
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(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
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(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 -8 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (-.f64 0 (.f64 (+.f64 -2 (*.f64 (cos.f64 x) 2)) 4)))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) -2)) (+.f64 -2 (.f64 (cos.f64 x) 2)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) -2) (+.f64 -2 (*.f64 (cos.f64 x) 2))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (+.f64 -2 (*.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) -2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (-.f64 1 (cos.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) 1)
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (cos.f64 x) -1)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.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 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.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 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 -2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -2)) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) -2)) (*.f64 (-.f64 1 (cos.f64 x)) -2))
(.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) -2)))
(.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -2)))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) 1/2)
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))
(.f64 1/2 (.f64 (/.f64 2 (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 1 (cos.f64 x))) (/.f64 2 (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 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (/.f64 2 (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (+.f64 -1 (cos.f64 x)))))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))
(.f64 1/2 (.f64 (/.f64 2 (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 1 (cos.f64 x))) (/.f64 2 (sin.f64 x))))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(*.f64 (+.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) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 2 (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) -1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) 2)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2) 2)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) -2)) (+.f64 -2 (*.f64 (cos.f64 x) 2)))
(.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) -2)))
(.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -2)))
(.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))

eval457.0ms (1.9%)

Compiler: Compiled 15804 to 10693 computations (32.3% saved)

prune173.0ms (0.7%)

Pruning

41 alts after pruning (32 fresh and 9 done)

	Pruned	Kept	Total
New	774	11	785
Fresh	5	21	26
Picked	1	0	1
Done	2	9	11
Total	782	41	823

Error

0.2b

Counts

823 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	32.6b	(/.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) 2) (+.f64 (.f64 (cos.f64 x) 2) -4)) (*.f64 2 (sin.f64 x))) -2)
	34.4b	(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
✓	32.5b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	32.7b	(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x))
	34.3b	(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))
	34.4b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 -2 (/.f64 1 (+.f64 (cos.f64 x) -1))))
	33.6b	(/.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))
	33.7b	(/.f64 (sin.f64 x) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
	34.8b	(/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (/.f64 (.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))))
✓	32.6b	(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
✓	24.1b	(/.f64 (sin.f64 x) 2)
	32.6b	(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
	32.6b	(/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
	32.6b	(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
	32.6b	(-.f64 1 (-.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))
	32.6b	(-.f64 -2 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2))
✓	32.6b	(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
	34.5b	(+.f64 -1 (-.f64 1 (*.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)))))
	60.4b	(+.f64 -1 (-.f64 1 (*.f64 -1/2 x)))
✓	61.3b	(+.f64 -1 1)
	32.5b	(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
	34.4b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))) (/.f64 (sin.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x)))))
	34.4b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))) (neg.f64 (sin.f64 x))))
✓	34.4b	(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
	34.4b	(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))))
✓	28.9b	(*.f64 (/.f64 4 (/.f64 2 x)) 1/4)
	32.7b	(*.f64 (/.f64 4 (+.f64 (-.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) -1)) 1/4)
	28.7b	(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/360 (pow.f64 x 3))))) 1/4)
	28.6b	(.f64 (/.f64 4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) 1/4)
✓	32.6b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	62.4b	(*.f64 (/.f64 -24 x) 1/4)
	60.4b	(.f64 (+.f64 -1 (-.f64 1 (.f64 x -2))) 1/4)
	44.4b	(.f64 (.f64 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)) 1/8) 1/4)
	32.6b	(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (*.f64 2 (sin.f64 x)))
	43.8b	(.f64 (.f64 (/.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/16))) 1/4) 1/4)
	44.0b	(.f64 (.f64 (/.f64 8 x) (.f64 x (.f64 x 1/4))) 1/4)
	44.4b	(.f64 (.f64 (/.f64 2 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/4 x)) 1/4)
	43.3b	(.f64 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 (/.f64 1/4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) 1/16))) 1/4)
	44.1b	(.f64 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (.f64 -1/6 x) (/.f64 2 x))))) 1/4)
	34.4b	(.f64 (sin.f64 x) (neg.f64 (.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)))))
✓	28.8b	(*.f64 1/2 x)

Compiler

Compiled 751 to 529 computations (29.6% saved)

regimes283.0ms (1.2%)

Counts

61 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(*.f64 (/.f64 -24 x) 1/4)
(*.f64 (/.f64 4 (/.f64 2 x)) 1/4)
(+.f64 -1 (-.f64 1 (*.f64 -1/2 x)))
(.f64 (+.f64 -1 (-.f64 1 (.f64 x -2))) 1/4)
(.f64 (.f64 (/.f64 8 x) (.f64 x (.f64 x 1/4))) 1/4)
(.f64 (/.f64 4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) 1/4)
(.f64 (.f64 (/.f64 2 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/4 x)) 1/4)
(.f64 (.f64 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)) 1/8) 1/4)
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (*.f64 2 (/.f64 1 x)))) 1/4)
(.f64 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (.f64 -1/6 x) (/.f64 2 x))))) 1/4)
(.f64 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 (/.f64 1/4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) 1/16))) 1/4)
(.f64 (.f64 (/.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/16))) 1/4) 1/4)
(/.f64 (sin.f64 x) 2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (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 (-.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))
(neg.f64 (/.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.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 -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))))
(/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(*.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 (/.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 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) 2) (+.f64 (.f64 (cos.f64 x) 2) -4)) (*.f64 2 (sin.f64 x))) -2)
(/.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (sin.f64 x) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (*.f64 2 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 -1 (+.f64 (cos.f64 x) -1)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 -2 (/.f64 1 (+.f64 (cos.f64 x) -1))))
(+.f64 -1 (-.f64 1 (*.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 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))))
(.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (sin.f64 x) (-.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 (sin.f64 x) (-.f64 1 (cos.f64 x))))))
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (sin.f64 x) (neg.f64 (.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 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(.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 (/.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 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))) (neg.f64 (sin.f64 x))))
(.f64 (/.f64 1/2 (-.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)) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))) (/.f64 (sin.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (/.f64 (.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (.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 (/.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.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 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.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 (sin.f64 x) (+.f64 (cos.f64 x) -1))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))

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

187.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
73.0ms	x

Results

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

Compiler

Compiled 1180 to 705 computations (40.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0001441079906898226	0.05709556072118099
0.0ms	-0.0025126253732016446	-3.7884062527992398e-6

Compiler

Compiled 12 to 9 computations (25% saved)

regimes78.0ms (0.3%)

Counts

32 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(*.f64 (/.f64 -24 x) 1/4)
(*.f64 (/.f64 4 (/.f64 2 x)) 1/4)
(+.f64 -1 (-.f64 1 (*.f64 -1/2 x)))
(.f64 (+.f64 -1 (-.f64 1 (.f64 x -2))) 1/4)
(.f64 (.f64 (/.f64 8 x) (.f64 x (.f64 x 1/4))) 1/4)
(.f64 (/.f64 4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) 1/4)
(.f64 (.f64 (/.f64 2 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/4 x)) 1/4)
(.f64 (.f64 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)) 1/8) 1/4)
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (*.f64 2 (/.f64 1 x)))) 1/4)
(.f64 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (.f64 -1/6 x) (/.f64 2 x))))) 1/4)
(.f64 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 (/.f64 1/4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) 1/16))) 1/4)
(.f64 (.f64 (/.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/16))) 1/4) 1/4)
(/.f64 (sin.f64 x) 2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (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 (-.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))
(neg.f64 (/.f64 -1 (/.f64 (sin.f64 x) (-.f64 1 (cos.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 -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))))
(/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(*.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 (/.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 (-.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:

44.0ms	x
24.0ms	(/.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 391 to 287 computations (26.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0001441079906898226	0.05709556072118099
0.0ms	-0.0025126253732016446	-3.7884062527992398e-6

Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(*.f64 (/.f64 -24 x) 1/4)
(*.f64 (/.f64 4 (/.f64 2 x)) 1/4)
(+.f64 -1 (-.f64 1 (*.f64 -1/2 x)))
(.f64 (+.f64 -1 (-.f64 1 (.f64 x -2))) 1/4)
(.f64 (.f64 (/.f64 8 x) (.f64 x (.f64 x 1/4))) 1/4)
(.f64 (/.f64 4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) 1/4)
(.f64 (.f64 (/.f64 2 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/4 x)) 1/4)
(.f64 (.f64 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)) 1/8) 1/4)
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (*.f64 2 (/.f64 1 x)))) 1/4)
(.f64 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (.f64 -1/6 x) (/.f64 2 x))))) 1/4)
(.f64 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 (/.f64 1/4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) 1/16))) 1/4)
(.f64 (.f64 (/.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/16))) 1/4) 1/4)
(/.f64 (sin.f64 x) 2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (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)

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
24.1b	1	`x`

Compiler

Compiled 215 to 172 computations (20% saved)

regimes67.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(*.f64 (/.f64 -24 x) 1/4)
(*.f64 (/.f64 4 (/.f64 2 x)) 1/4)
(+.f64 -1 (-.f64 1 (*.f64 -1/2 x)))
(.f64 (+.f64 -1 (-.f64 1 (.f64 x -2))) 1/4)
(.f64 (.f64 (/.f64 8 x) (.f64 x (.f64 x 1/4))) 1/4)
(.f64 (/.f64 4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) 1/4)
(.f64 (.f64 (/.f64 2 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/4 x)) 1/4)
(.f64 (.f64 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)) 1/8) 1/4)
(.f64 (/.f64 4 (+.f64 (.f64 x -1/6) (*.f64 2 (/.f64 1 x)))) 1/4)
(.f64 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 4 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (+.f64 (.f64 -1/6 x) (/.f64 2 x))))) 1/4)
(.f64 (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) (/.f64 (/.f64 1/4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) (.f64 (+.f64 (.f64 -1/6 x) (/.f64 2 x)) 1/16))) 1/4)
(.f64 (.f64 (/.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (.f64 x -1/6) (/.f64 2 x)) (.f64 (+.f64 (*.f64 x -1/6) (/.f64 2 x)) 1/16))) 1/4) 1/4)

Outputs
(.f64 (/.f64 4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) 1/4)

Calls

1 calls:

62.0ms

Results

Error	Segments	Branch
28.6b	1	`x`

Compiler

Compiled 183 to 146 computations (20.2% saved)

regimes7.0ms (0%)

Accuracy

Total -34.4b remaining (-119.4%)

Threshold costs -34.4b (-119.4%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 -1 1)
(*.f64 (/.f64 -24 x) 1/4)
(*.f64 (/.f64 4 (/.f64 2 x)) 1/4)
(+.f64 -1 (-.f64 1 (*.f64 -1/2 x)))
(.f64 (+.f64 -1 (-.f64 1 (.f64 x -2))) 1/4)
(.f64 (.f64 (/.f64 8 x) (.f64 x (.f64 x 1/4))) 1/4)

Outputs
(*.f64 1/2 x)

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
28.8b	1	`x`

Compiler

Compiled 48 to 39 computations (18.8% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	317

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1152921504606847/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 7378697629483821/36893488147419103232) (+.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)) -1152921504606847/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 7378697629483821/36893488147419103232) (+.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) 2)
(.f64 (/.f64 4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) 1/4)
(*.f64 1/2 x)

Outputs
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1152921504606847/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 7378697629483821/36893488147419103232) (+.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)) -1152921504606847/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 7378697629483821/36893488147419103232) (+.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) 2)
(.f64 (/.f64 4 (+.f64 (.f64 -1/6 x) (/.f64 2 x))) 1/4)
(*.f64 1/2 x)

Compiler

Compiled 115 to 78 computations (32.2% saved)

soundness213.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1296×	`rational.json-simplify-35`
1002×	`rational.json-simplify-39`
900×	`rational.json-simplify-2`
726×	`rational.json-simplify-1`
660×	`exponential.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	3147
1	488	3127
2	1865	3007
3	4273	3007
4	7239	3007

Stop Event

1×	node limit

Compiler

Compiled 31 to 25 computations (19.4% saved)

end112.0ms (0.5%)

Compiler: Compiled 111 to 71 computations (36% saved)