Details

analyze1.6s (2.4%)

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)

sample30.5s (45.9%)

Results

18.4s	2008×	body	2048	valid
8.7s	3158×	body	1024	valid
1.6s	1557×	body	512	valid
1.0s	1408×	body	256	valid
778.0ms	123×	body	4096	valid
7.0ms	2×	body	8192	valid

Bogosity

preprocess210.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1204×	`rational_best-simplify-65`
1140×	`rational_best-simplify-56`
1138×	`rational_best-simplify-75`
1114×	`rational_best-simplify-76`
992×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	21	21
2	34	21
3	58	21
4	105	21
5	227	21
6	571	21
7	1726	21
8	4962	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)

simplify269.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1204×	`rational_best-simplify-65`
1140×	`rational_best-simplify-56`
1138×	`rational_best-simplify-75`
1114×	`rational_best-simplify-76`
992×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	21	21
2	34	21
3	58	21
4	105	21
5	227	21
6	571	21
7	1726	21
8	4962	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))

eval1.0ms (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

30.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.9b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize42.0ms (0.1%)

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)

series3.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite321.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1556×	`rational_best-4`
1556×	`rational_best-2`
1556×	`rational_best-3`
1556×	`rational_best-1`
1556×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	67	32
2	187	32
3	640	32
4	3606	32

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

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

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

simplify290.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

948×	`rational_best-simplify-67`
910×	`rational_best-simplify-47`
760×	`rational_best-simplify-64`
744×	`rational_best-simplify-54`
580×	`rational_best-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	258	2929
1	658	2473
2	2080	2473

Stop Event

1×	node limit

Counts

123 → 134

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

Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.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 1/2 (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 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8))))
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(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) 2)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)))
(neg.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)) 2) 1/2)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(neg.f64 (/.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)
(neg.f64 (/.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))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 2 (.f64 -2 (cos.f64 x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (sin.f64 x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(neg.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)) 4) (sin.f64 x)) 1/4)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 1 (.f64 2 (*.f64 (sin.f64 x) 4))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 2 (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 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.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 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 1 (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 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) 2)) (/.f64 1 (/.f64 2 (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 2 (sin.f64 x)) (-.f64 1/2 (/.f64 (cos.f64 x) 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) -2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 1/4 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (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 (/.f64 1 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.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 (.f64 2 (.f64 (sin.f64 x) 4))) (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)) 4)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (+.f64 (cos.f64 x) -1))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) (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))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 1 (sin.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 (sin.f64 x) (+.f64 2 (*.f64 -2 (cos.f64 x)))) (/.f64 (/.f64 1/2 (sin.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 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (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 (sin.f64 x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) (/.f64 1/2 (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 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (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 (/.f64 1 (sin.f64 x)) (-.f64 1/2 (/.f64 (cos.f64 x) 2))) 2)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (+.f64 2 (*.f64 -2 (cos.f64 x)))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 4)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 2 (sin.f64 x))) -1) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 -1 (.f64 2 (/.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 x)))
(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 (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 (/.f64 1 (sin.f64 x)) (+.f64 (cos.f64 x) -1)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

eval133.0ms (0.2%)

Compiler: Compiled 1990 to 1202 computations (39.6% saved)

prune133.0ms (0.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	120	14	134
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	120	15	135

Error

0.2b

Counts

135 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.9b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶	31.1b	(/.f64 (+.f64 (-.f64 1 (/.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (cos.f64 x) 2))) (sin.f64 x))
	31.1b	(-.f64 (/.f64 (/.f64 (+.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2)) 2) (/.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) 2))
	31.0b	(-.f64 (/.f64 (+.f64 2 (neg.f64 (cos.f64 x))) (.f64 (sin.f64 x) 2)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2)))
	31.1b	(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
▶	31.0b	(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) 2)))
▶	31.0b	(-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
	30.9b	(+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
	30.6b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
▶	30.6b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
	31.0b	(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) 2)) (/.f64 1 (/.f64 2 (sin.f64 x))))
	32.3b	(.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
	32.2b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
	31.0b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
▶	30.3b	(*.f64 1/2 x)

Compiler

Compiled 426 to 308 computations (27.7% saved)

localize4.0ms (0%)

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

localize79.0ms (0.1%)

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)

series4.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/24 (pow.f64 x 3))
1.0ms	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)))

rewrite476.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1210×	`rational_best-simplify-86`
1058×	`rational_best-simplify-108`
682×	`rational_best-simplify-83`
606×	`rational_best-simplify-47`
534×	`rational_best-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	68	38
2	129	38
3	305	38
4	994	38
5	6347	38

Stop Event

1×	node limit

Counts

2 → 108

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

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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 x -1/2) (*.f64 (pow.f64 x 3) -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (+.f64 (*.f64 x 1/2) (*.f64 (pow.f64 x 3) -1/24)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x -1/2)) (neg.f64 (*.f64 (pow.f64 x 3) 1/12))))))))

simplify318.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1204×	`rational_best-simplify-47`
1102×	`rational_best-simplify-57`
1074×	`rational_best-simplify-48`
984×	`rational_best-simplify-52`
716×	`rational_best-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	3751
1	641	3685
2	1924	3243

Stop Event

1×	node limit

Counts

111 → 161

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 (.f64 (pow.f64 x 3) 1/12) 4) (/.f64 (.f64 (pow.f64 x 3) 1/12) 4))
(+.f64 (/.f64 (.f64 (pow.f64 x 3) 1/12) 8) (+.f64 (/.f64 (.f64 (pow.f64 x 3) 1/12) 8) (/.f64 (*.f64 (pow.f64 x 3) 1/12) 4)))
(+.f64 (/.f64 (.f64 (pow.f64 x 3) 1/12) 8) (/.f64 (.f64 (pow.f64 x 3) 1/8) 4))
(-.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(-.f64 (.f64 x 1/2) (+.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 3) -1/24)))
(-.f64 0 (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) (+.f64 x (.f64 1/24 (pow.f64 x 3))))
(-.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 1/24 (pow.f64 x 3)))
(-.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 (pow.f64 x 3) 1/8))
(-.f64 (/.f64 (.f64 (pow.f64 x 3) 1/12) 4) (/.f64 (.f64 (pow.f64 x 3) 1/12) -4))
(-.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 (pow.f64 x 3) 1/12))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 x 3) 1/12) 8) (/.f64 (.f64 (pow.f64 x 3) 1/12) 4)) (/.f64 (*.f64 (pow.f64 x 3) 1/12) -8))
(-.f64 (/.f64 (.f64 (pow.f64 x 3) 1/8) 4) (/.f64 (.f64 (pow.f64 x 3) -1/24) 4))
(/.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(/.f64 (*.f64 (pow.f64 x 3) -1/24) -1)
(/.f64 (*.f64 (pow.f64 x 3) 1/12) 2)
(/.f64 (*.f64 (pow.f64 x 3) 1/6) 4)
(/.f64 (neg.f64 (*.f64 (pow.f64 x 3) 1/6)) -4)
(/.f64 (neg.f64 (*.f64 (pow.f64 x 3) 1/12)) -2)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/6)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/6)) (.f64 2 (.f64 (pow.f64 x 3) 1/6))) 16)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/6)) (.f64 2 (.f64 (pow.f64 x 3) 1/6))) (+.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/6)) (.f64 2 (.f64 (pow.f64 x 3) 1/6)))) 32)
(pow.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(neg.f64 (*.f64 (pow.f64 x 3) -1/24))
(-.f64 x (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 x (+.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) 0))
(-.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x -1/2))
(-.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) -4) (/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/12) x) 4)))
(-.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) -2) (/.f64 (*.f64 (pow.f64 x 3) 1/12) 4)))
(-.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24))
(-.f64 (.f64 x 1/2) (+.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) (.f64 x -1/2)))
(-.f64 (.f64 x 1/2) (+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (/.f64 x -4)) (/.f64 x 4)))
(-.f64 (-.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) 0)
(-.f64 (-.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) (+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) -4) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4)))
(-.f64 0 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 0 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) (neg.f64 x)))
(-.f64 0 (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x -1/2)) (neg.f64 (*.f64 (pow.f64 x 3) 1/12))))
(-.f64 (.f64 (pow.f64 x 3) -1/24) (-.f64 (.f64 x -1/2) (*.f64 (pow.f64 x 3) 1/12)))
(-.f64 (+.f64 x x) (+.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) x))
(-.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) (-.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 (pow.f64 x 3) 1/12) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x -1/2)))
(-.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) 1/12)) (*.f64 1/24 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) 1/12)) (+.f64 (/.f64 x -4) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (/.f64 x 4))))
(-.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) (.f64 x 1/2))
(-.f64 (.f64 (pow.f64 x 3) 1/6) (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x -1/2)) (.f64 (pow.f64 x 3) 1/12)))
(-.f64 (/.f64 x 4) (+.f64 (*.f64 (pow.f64 x 3) -1/24) (/.f64 x -4)))
(-.f64 (/.f64 x 4) (+.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) (/.f64 (*.f64 x 3/2) -2)))
(-.f64 (/.f64 x 4) (+.f64 (/.f64 x -4) (*.f64 (pow.f64 x 3) -1/24)))
(-.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) -4))
(-.f64 (/.f64 (.f64 (pow.f64 x 3) 1/12) 4) (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) -2))
(-.f64 (/.f64 (.f64 (pow.f64 x 3) 1/12) 4) (+.f64 (/.f64 (.f64 (pow.f64 x 3) 1/12) -4) (*.f64 x -1/2)))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x -1/2)) (neg.f64 x))
(-.f64 (/.f64 (-.f64 (.f64 x 1/2) (.f64 3 (.f64 (pow.f64 x 3) -1/24))) 2) (/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/12) x) 4))
(-.f64 (/.f64 (.f64 (pow.f64 x 3) 1/8) 2) (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (neg.f64 x)) 2))
(-.f64 (.f64 (pow.f64 x 3) 1/8) (+.f64 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (neg.f64 x)) 2) (/.f64 (*.f64 (pow.f64 x 3) 1/8) 2)))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (/.f64 x 4)) (/.f64 x -4))
(-.f64 (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) 2) (/.f64 (.f64 (pow.f64 x 3) 1/12) -4))
(-.f64 (.f64 3 (/.f64 x 4)) (+.f64 (+.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 3) -1/24)) (/.f64 x -4)))
(-.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (-.f64 (.f64 x 1/2) (.f64 3 (.f64 (pow.f64 x 3) -1/24))))
(-.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 8) (/.f64 (.f64 3 (/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) -4)) 2))
(-.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 8) (.f64 -3 (/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 8)))
(-.f64 (+.f64 (/.f64 x 8) (/.f64 x 4)) (-.f64 (*.f64 (pow.f64 x 3) -1/24) (/.f64 x 8)))
(-.f64 (+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 8) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4)) (neg.f64 (/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 8)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 x 3) 1/12) 8) (/.f64 (.f64 (pow.f64 x 3) 1/12) 4)) (-.f64 (.f64 x -1/2) (/.f64 (.f64 (pow.f64 x 3) 1/12) 8)))
(-.f64 (-.f64 (/.f64 x 4) (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24))) (/.f64 (*.f64 x 3/2) -2))
(-.f64 (-.f64 (/.f64 (.f64 (pow.f64 x 3) 1/12) 4) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) -4)) (/.f64 x -4))
(-.f64 (neg.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x -1/2))) (neg.f64 (*.f64 (pow.f64 x 3) 1/12)))
(-.f64 (/.f64 (/.f64 (-.f64 (.f64 x 1/2) (.f64 3 (.f64 (pow.f64 x 3) -1/24))) 2) 2) (/.f64 (+.f64 (/.f64 (.f64 x 3/2) -2) (/.f64 (*.f64 (pow.f64 x 3) 1/12) -4)) 2))
(-.f64 (/.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 3/2) 4) (/.f64 (-.f64 (neg.f64 x) (*.f64 (pow.f64 x 3) 1/12)) 8))
(-.f64 (/.f64 (+.f64 (.f64 x 1/2) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4)) 2) (/.f64 (-.f64 (/.f64 x -4) (/.f64 (*.f64 (pow.f64 x 3) 1/8) 2)) 2))
(-.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/12) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4)) 2) (/.f64 (-.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/12) x) 4) (.f64 x 1/2)) 2))
(-.f64 (+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 8) (/.f64 x 4)) (-.f64 (/.f64 (.f64 (pow.f64 x 3) 1/12) -4) (/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 8)))
(-.f64 (+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 8) (.f64 1/24 (pow.f64 x 3))) (-.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/12) x) 4) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 8)))
(-.f64 (+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 8) (/.f64 (.f64 (pow.f64 x 3) 1/12) 4)) (-.f64 (/.f64 x -4) (/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 8)))
(-.f64 (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x -1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x -1/2))) (+.f64 (neg.f64 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x -1/2))))
(-.f64 (+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/8)) 2) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/8)) 2)) (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) 1/12)))
(.f64 1/2 (+.f64 x (.f64 (pow.f64 x 3) 1/12)))
(.f64 (-.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 3) -1/24)) 1)
(.f64 1 (-.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 3) -1/24)))
(.f64 -1 (+.f64 (.f64 x -1/2) (*.f64 (pow.f64 x 3) -1/24)))
(.f64 2 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4))
(.f64 2 (.f64 1/2 (-.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24))))
(.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 1/2)
(.f64 -2 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) -4))
(.f64 1/4 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6))))
(.f64 (+.f64 (.f64 x -1/2) (*.f64 (pow.f64 x 3) -1/24)) -1)
(.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6))) 1/4)
(.f64 1/8 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))
(.f64 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 1/8)
(.f64 (.f64 1/2 (-.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24))) 2)
(/.f64 (-.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) 1)
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 2)
(/.f64 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/24)) -1)
(/.f64 (+.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6))) 4)
(/.f64 (-.f64 (neg.f64 x) (*.f64 (pow.f64 x 3) 1/12)) -2)
(/.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4) 8)
(/.f64 (+.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4) (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4)) 16)
(/.f64 (+.f64 (.f64 x 4) (.f64 2 (*.f64 (pow.f64 x 3) 1/6))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/6)) (*.f64 x 4)) 8)
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4) (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4)) (+.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4) (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4))) 32)
(/.f64 (+.f64 (+.f64 (.f64 x 4) (.f64 2 (.f64 (pow.f64 x 3) 1/6))) (+.f64 (.f64 x 4) (.f64 2 (.f64 (pow.f64 x 3) 1/6)))) 16)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/6)) (.f64 x 4)) (+.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/6)) (.f64 x 4))) 16)
(pow.f64 (-.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) 1)
(neg.f64 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/24)))
(neg.f64 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) (neg.f64 x)))
(neg.f64 (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x -1/2)) (neg.f64 (*.f64 (pow.f64 x 3) 1/12))))

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 (.f64 (pow.f64 x 3) 1/12) 4) (/.f64 (.f64 (pow.f64 x 3) 1/12) 4))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (/.f64 (.f64 (pow.f64 x 3) 1/12) 8) (+.f64 (/.f64 (.f64 (pow.f64 x 3) 1/12) 8) (/.f64 (*.f64 (pow.f64 x 3) 1/12) 4)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (/.f64 (.f64 (pow.f64 x 3) 1/12) 8) (/.f64 (.f64 (pow.f64 x 3) 1/8) 4))
(*.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 x 1/2) (+.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 3) -1/24)))
(*.f64 1/24 (pow.f64 x 3))
(-.f64 0 (*.f64 (pow.f64 x 3) -1/24))
(*.f64 1/24 (pow.f64 x 3))
(-.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) (+.f64 x (.f64 1/24 (pow.f64 x 3))))
(*.f64 1/24 (pow.f64 x 3))
(-.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(-.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 (pow.f64 x 3) 1/8))
(*.f64 1/24 (pow.f64 x 3))
(-.f64 (/.f64 (.f64 (pow.f64 x 3) 1/12) 4) (/.f64 (.f64 (pow.f64 x 3) 1/12) -4))
(*.f64 1/24 (pow.f64 x 3))
(-.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 (pow.f64 x 3) 1/12))
(*.f64 1/24 (pow.f64 x 3))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 x 3) 1/12) 8) (/.f64 (.f64 (pow.f64 x 3) 1/12) 4)) (/.f64 (*.f64 (pow.f64 x 3) 1/12) -8))
(*.f64 1/24 (pow.f64 x 3))
(-.f64 (/.f64 (.f64 (pow.f64 x 3) 1/8) 4) (/.f64 (.f64 (pow.f64 x 3) -1/24) 4))
(*.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) -1/24) -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 (neg.f64 (*.f64 (pow.f64 x 3) 1/6)) -4)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 3) 1/12)) -2)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/6)) 8)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/6)) (.f64 2 (.f64 (pow.f64 x 3) 1/6))) 16)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/6)) (.f64 2 (.f64 (pow.f64 x 3) 1/6))) (+.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/6)) (.f64 2 (.f64 (pow.f64 x 3) 1/6)))) 32)
(*.f64 1/24 (pow.f64 x 3))
(pow.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(*.f64 1/24 (pow.f64 x 3))
(neg.f64 (*.f64 (pow.f64 x 3) -1/24))
(*.f64 1/24 (pow.f64 x 3))
(-.f64 x (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(-.f64 x (+.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) 0))
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(-.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x -1/2))
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(-.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) -4) (/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/12) x) 4)))
(+.f64 (/.f64 (.f64 (pow.f64 x 3) 2/3) 32) (neg.f64 (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) -2)))
(-.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) -2) (/.f64 (*.f64 (pow.f64 x 3) 1/12) 4)))
(-.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) -4) (/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/12) x) 4)))
(+.f64 (/.f64 (.f64 (pow.f64 x 3) 2/3) 32) (neg.f64 (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) -2)))
(-.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24))
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(-.f64 (.f64 x 1/2) (+.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) (.f64 x -1/2)))
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(-.f64 (.f64 x 1/2) (+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (/.f64 x -4)) (/.f64 x 4)))
(-.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (/.f64 x -4)) (/.f64 x 4)))
(-.f64 (.f64 1/2 x) (+.f64 (.f64 (pow.f64 x 3) -1/24) (+.f64 (/.f64 x -4) (/.f64 x 4))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (-.f64 (.f64 1/2 x) (/.f64 x -4)) (/.f64 x -4)))
(-.f64 (-.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) 0)
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(-.f64 (-.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) (+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) -4) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4)))
(-.f64 (.f64 1/2 x) (+.f64 (+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) -4) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4)) (.f64 (pow.f64 x 3) -1/24)))
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(.f64 -1 (+.f64 (.f64 x -1/2) (*.f64 (pow.f64 x 3) -1/24)))
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(.f64 2 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4))
(.f64 1/2 (+.f64 x (.f64 (pow.f64 x 3) 1/12)))
(.f64 2 (.f64 1/2 (-.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24))))
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 1/2)
(.f64 1/2 (+.f64 x (.f64 (pow.f64 x 3) 1/12)))
(.f64 -2 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) -4))
(.f64 1/2 (+.f64 x (.f64 (pow.f64 x 3) 1/12)))
(.f64 1/4 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6))))
(.f64 1/2 (+.f64 x (.f64 (pow.f64 x 3) 1/12)))
(.f64 (+.f64 (.f64 x -1/2) (*.f64 (pow.f64 x 3) -1/24)) -1)
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6))) 1/4)
(.f64 1/2 (+.f64 x (.f64 (pow.f64 x 3) 1/12)))
(.f64 1/8 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))
(.f64 1/2 (+.f64 x (.f64 (pow.f64 x 3) 1/12)))
(.f64 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 1/8)
(.f64 1/2 (+.f64 x (.f64 (pow.f64 x 3) 1/12)))
(.f64 (.f64 1/2 (-.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24))) 2)
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(/.f64 (-.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) 1)
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 2)
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(/.f64 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/24)) -1)
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(/.f64 (+.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6))) 4)
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (pow.f64 x 3) 1/12)) -2)
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(/.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4) 8)
(/.f64 (.f64 4 (+.f64 x (.f64 (pow.f64 x 3) 1/12))) 8)
(/.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 8) 16)
(/.f64 (.f64 8 (+.f64 x (.f64 (pow.f64 x 3) 1/12))) 16)
(/.f64 (+.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4) (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4)) 16)
(/.f64 (.f64 4 (+.f64 x (.f64 (pow.f64 x 3) 1/12))) 8)
(/.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 8) 16)
(/.f64 (.f64 8 (+.f64 x (.f64 (pow.f64 x 3) 1/12))) 16)
(/.f64 (+.f64 (.f64 x 4) (.f64 2 (*.f64 (pow.f64 x 3) 1/6))) 8)
(/.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) 2)) (*.f64 x 4)) 8)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (/.f64 (.f64 x 4) 8))
(-.f64 (/.f64 (.f64 x 8) 16) (.f64 (pow.f64 x 3) -1/24))
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/6)) (*.f64 x 4)) 8)
(/.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) 2)) (*.f64 x 4)) 8)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (/.f64 (.f64 x 4) 8))
(-.f64 (/.f64 (.f64 x 8) 16) (.f64 (pow.f64 x 3) -1/24))
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4) (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4)) (+.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4) (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4))) 32)
(/.f64 (.f64 4 (+.f64 x (.f64 (pow.f64 x 3) 1/12))) 8)
(/.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 8) 16)
(/.f64 (.f64 8 (+.f64 x (.f64 (pow.f64 x 3) 1/12))) 16)
(/.f64 (+.f64 (+.f64 (.f64 x 4) (.f64 2 (.f64 (pow.f64 x 3) 1/6))) (+.f64 (.f64 x 4) (.f64 2 (.f64 (pow.f64 x 3) 1/6)))) 16)
(/.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) 2)) (*.f64 x 4)) 8)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (/.f64 (.f64 x 4) 8))
(-.f64 (/.f64 (.f64 x 8) 16) (.f64 (pow.f64 x 3) -1/24))
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/6)) (.f64 x 4)) (+.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/6)) (.f64 x 4))) 16)
(/.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) 2)) (*.f64 x 4)) 8)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (/.f64 (.f64 x 4) 8))
(-.f64 (/.f64 (.f64 x 8) 16) (.f64 (pow.f64 x 3) -1/24))
(pow.f64 (-.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) 1)
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(neg.f64 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(neg.f64 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) (neg.f64 x)))
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
(neg.f64 (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x -1/2)) (neg.f64 (*.f64 (pow.f64 x 3) 1/12))))
(-.f64 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))

localize57.0ms (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)))
✓	1.4b	(-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
✓	2.2b	(+.f64 (cos.f64 x) -1)

Compiler

Compiled 38 to 21 computations (44.7% saved)

series7.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite703.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`rational_best-simplify-1`
638×	`rational_best-simplify-47`
556×	`rational_best-simplify-73`
476×	`rational_best-simplify-62`
446×	`rational_best-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	86
1	87	84
2	250	84
3	889	80
4	5476	80

Stop Event

1×	node limit

Counts

4 → 247

Calls

Call 1

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

simplify808.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1092×	`rational_best-simplify-1`
866×	`rational_best-simplify-108`
706×	`rational_best-simplify-65`
672×	`rational_best-simplify-60`
512×	`rational_best-simplify-56`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	535	8149
1	1521	7635
2	5522	7605

Stop Event

1×	node limit

Counts

295 → 360

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

localize97.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 1 (/.f64 (cos.f64 x) 2))
✓	0.1b	(/.f64 (+.f64 (-.f64 1 (/.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (cos.f64 x) 2))) (sin.f64 x))
✓	2.3b	(+.f64 (-.f64 1 (/.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (cos.f64 x) 2)))

Compiler

Compiled 50 to 31 computations (38% saved)

series21.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	x	@	inf	(+.f64 (-.f64 1 (/.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (cos.f64 x) 2)))
1.0ms	x	@	-inf	(+.f64 (-.f64 1 (/.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (cos.f64 x) 2)))
0.0ms	x	@	0	(+.f64 (-.f64 1 (/.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (cos.f64 x) 2)))
0.0ms	x	@	-inf	(/.f64 (+.f64 (-.f64 1 (/.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (cos.f64 x) 2))) (sin.f64 x))
0.0ms	x	@	inf	(/.f64 (+.f64 (-.f64 1 (/.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (cos.f64 x) 2))) (sin.f64 x))

rewrite367.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`rational_best-simplify-52`
720×	`rational_best-simplify-67`
662×	`rational_best-simplify-49`
618×	`rational_best-simplify-48`
582×	`rational_best-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	93
1	101	49
2	298	49
3	1210	49

Stop Event

1×	node limit

Counts

3 → 208

Calls

Call 1

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

Outputs

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

simplify687.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1490×	`rational_best-simplify-51`
878×	`rational_best-simplify-1`
864×	`rational_best-simplify-108`
578×	`rational_best-simplify-56`
432×	`rational_best-simplify-65`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	508	7684
1	1500	7192
2	5571	7034

Stop Event

1×	node limit

Counts

244 → 348

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
1/2
(+.f64 1/2 (*.f64 1/4 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(-.f64 1 (*.f64 1/2 (cos.f64 x)))
(-.f64 1 (*.f64 1/2 (cos.f64 x)))
(-.f64 1 (*.f64 1/2 (cos.f64 x)))
(-.f64 1 (*.f64 1/2 (cos.f64 x)))
(-.f64 1 (*.f64 1/2 (cos.f64 x)))
(-.f64 1 (*.f64 1/2 (cos.f64 x)))
(-.f64 1 (*.f64 1/2 (cos.f64 x)))
(-.f64 1 (*.f64 1/2 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (.f64 (cos.f64 x) 1/2))
(-.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (+.f64 (-.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (.f64 (cos.f64 x) 1/2) -1)))
(-.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (+.f64 (+.f64 (cos.f64 x) -1) (+.f64 1 (.f64 (cos.f64 x) -1/2))))
(-.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (neg.f64 (-.f64 1 (+.f64 1 (.f64 (cos.f64 x) 1/2)))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) -1/2)) (/.f64 (+.f64 (+.f64 (cos.f64 x) -1) (-.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1))) 2))
(-.f64 (.f64 (cos.f64 x) -1/2) (+.f64 (.f64 (cos.f64 x) 1/2) -1))
(-.f64 (.f64 (cos.f64 x) -1/2) (-.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (-.f64 (neg.f64 (cos.f64 x)) -2)))
(-.f64 (.f64 (cos.f64 x) -1/2) (+.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (/.f64 (*.f64 (sin.f64 x) (sin.f64 0)) -2)))
(-.f64 (.f64 (cos.f64 x) -1/2) (+.f64 (+.f64 (.f64 (cos.f64 x) -1/2) (+.f64 (.f64 (cos.f64 x) 1/2) -1)) (.f64 (cos.f64 x) 1/2)))
(-.f64 (.f64 (cos.f64 x) -1/2) (+.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 0)) -2) (+.f64 (*.f64 (cos.f64 x) 1/2) -1)))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 0))))
(-.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 0)) -2))
(-.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (cos.f64 x) 1/2) 0))
(-.f64 0 (+.f64 (cos.f64 x) -1))
(-.f64 0 (+.f64 (+.f64 (.f64 (cos.f64 x) -1/2) (+.f64 (.f64 (cos.f64 x) 1/2) -1)) (cos.f64 x)))
(-.f64 -1 (+.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (+.f64 (.f64 (cos.f64 x) 1/2) -1)))
(-.f64 (-.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 2) (cos.f64 x)) (+.f64 1 (.f64 (cos.f64 x) -1/2)))
(-.f64 (neg.f64 (cos.f64 x)) -1)
(-.f64 (neg.f64 (cos.f64 x)) (+.f64 (.f64 (cos.f64 x) -1/2) (+.f64 (.f64 (cos.f64 x) 1/2) -1)))
(-.f64 (neg.f64 (cos.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) -1/2) (+.f64 (.f64 (cos.f64 x) 1/2) -1)) 0))
(-.f64 (neg.f64 (cos.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) -1/2) (+.f64 (.f64 (cos.f64 x) 1/2) -1)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 0)))))
(-.f64 (neg.f64 (cos.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) -1/2) (+.f64 (.f64 (cos.f64 x) 1/2) -1)) (.f64 (.f64 (cos.f64 x) 1/2) 0)))
(-.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (neg.f64 (-.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 2) (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 x) -1) (*.f64 -2 (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 (cos.f64 x) 4) (-.f64 (+.f64 1 (/.f64 (cos.f64 x) 4)) (-.f64 (neg.f64 (cos.f64 x)) -2)))
(-.f64 (-.f64 (neg.f64 (cos.f64 x)) -2) (-.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))
(-.f64 (-.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (cos.f64 x))
(-.f64 (*.f64 (sin.f64 x) (sin.f64 0)) (+.f64 (cos.f64 x) -1))
(-.f64 1/2 (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) 2))
(-.f64 (/.f64 (cos.f64 x) -4) (+.f64 (/.f64 (cos.f64 x) 4) (+.f64 (*.f64 (cos.f64 x) 1/2) -1)))
(-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (*.f64 3 (/.f64 (cos.f64 x) 4)) 1))
(-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (/.f64 (cos.f64 x) 4) (+.f64 1 (*.f64 (cos.f64 x) -1/2))))
(-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (+.f64 1 (+.f64 (*.f64 (cos.f64 x) -1/2) (/.f64 (cos.f64 x) 4))) (-.f64 (neg.f64 (cos.f64 x)) -2)))
(-.f64 (/.f64 (cos.f64 x) -4) (+.f64 (+.f64 (*.f64 (cos.f64 x) 1/2) -1) (/.f64 (cos.f64 x) 4)))
(-.f64 (/.f64 (cos.f64 x) -4) (/.f64 (+.f64 (+.f64 (*.f64 (cos.f64 x) 1/2) -1) (+.f64 (cos.f64 x) -1)) 2))
(-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (+.f64 (*.f64 (cos.f64 x) 1/2) -1) (/.f64 (cos.f64 x) -4)))
(-.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -4)) (-.f64 (*.f64 (cos.f64 x) 1/2) (+.f64 1/2 (/.f64 (cos.f64 x) -4))))
(-.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -4)) (/.f64 (+.f64 (*.f64 (cos.f64 x) 1/2) (+.f64 (cos.f64 x) -1)) 2))
(-.f64 (/.f64 (-.f64 1 (.f64 (.f64 (cos.f64 x) 1/2) 3)) 2) (/.f64 (+.f64 (*.f64 (cos.f64 x) 1/2) -1) 2))
(-.f64 (/.f64 (-.f64 1 (.f64 (.f64 (cos.f64 x) 1/2) 3)) 2) (-.f64 0 (+.f64 1/2 (/.f64 (cos.f64 x) -4))))
(-.f64 (/.f64 (-.f64 1 (.f64 (.f64 (cos.f64 x) 1/2) 3)) 2) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 0)) -2) (+.f64 1/2 (/.f64 (cos.f64 x) -4))))
(-.f64 (-.f64 1 (*.f64 3 (/.f64 (cos.f64 x) 4))) (/.f64 (cos.f64 x) 4))
(-.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 (+.f64 (cos.f64 x) -1) 2))
(-.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (/.f64 (.f64 -2 (-.f64 1 (cos.f64 x))) 4))
(-.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (-.f64 (/.f64 (cos.f64 x) 4) (+.f64 1/2 (/.f64 (cos.f64 x) -4))))
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 0)) 2) (+.f64 (cos.f64 x) -1))
(-.f64 (*.f64 -3 (/.f64 (cos.f64 x) 4)) (-.f64 (/.f64 (cos.f64 x) 4) 1))
(-.f64 (*.f64 -3 (/.f64 (cos.f64 x) 4)) (-.f64 -1 (/.f64 (cos.f64 x) -4)))
(-.f64 (-.f64 (/.f64 (cos.f64 x) 4) 1) (-.f64 (/.f64 (cos.f64 x) 4) (-.f64 (neg.f64 (cos.f64 x)) -2)))
(-.f64 (.f64 (.f64 (cos.f64 x) 1/2) 0) (+.f64 (cos.f64 x) -1))
(-.f64 (+.f64 (/.f64 (cos.f64 x) -4) 1) (*.f64 3 (/.f64 (cos.f64 x) 4)))
(-.f64 (+.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (+.f64 1 (.f64 (cos.f64 x) -1/2))) (-.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (+.f64 1/2 (.f64 (cos.f64 x) -1/2))))
(-.f64 (-.f64 (.f64 (cos.f64 x) -1/2) (+.f64 (.f64 (cos.f64 x) -1/2) (+.f64 (.f64 (cos.f64 x) 1/2) -1))) (.f64 (cos.f64 x) 1/2))
(-.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (-.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1))) (+.f64 (.f64 (cos.f64 x) 1/2) -1))
(-.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 3) 4) (/.f64 (+.f64 (cos.f64 x) -1) 4))
(-.f64 (/.f64 (+.f64 (-.f64 (neg.f64 (cos.f64 x)) -2) (-.f64 1 (cos.f64 x))) 2) (/.f64 (-.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) 2))
(-.f64 (-.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -4)) (*.f64 (cos.f64 x) 1/2)) (-.f64 0 (+.f64 1/2 (/.f64 (cos.f64 x) -4))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) -4) -1) (*.f64 3 (/.f64 (cos.f64 x) 4)))
(-.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (+.f64 1 (.f64 (cos.f64 x) 1/2))) (+.f64 (.f64 (cos.f64 x) -1/2) (+.f64 (.f64 (cos.f64 x) 1/2) -1)))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) 1/2)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(.f64 1/2 (.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) 2)
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 (neg.f64 (cos.f64 x)) -2)) (.f64 (cos.f64 x) -2)) 4)
(/.f64 (+.f64 (.f64 (cos.f64 x) -2) (.f64 2 (-.f64 (neg.f64 (cos.f64 x)) -2))) 4)
(/.f64 (-.f64 (.f64 2 (-.f64 (neg.f64 (cos.f64 x)) -2)) (.f64 (cos.f64 x) 2)) 4)
(/.f64 (-.f64 (*.f64 2 (-.f64 (neg.f64 (cos.f64 x)) -2)) (+.f64 (cos.f64 x) (-.f64 (neg.f64 (cos.f64 x)) -2))) 2)
(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 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (/.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 (/.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)) (/.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (sin.f64 x))))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1/2))
(+.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1/2) (/.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (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 1 (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 2) (cos.f64 x)) (sin.f64 x)) (/.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (sin.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -4)) (/.f64 (-.f64 1 (.f64 3 (/.f64 (cos.f64 x) 4))) (sin.f64 x)))
(+.f64 (/.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -4)) (sin.f64 x)) (/.f64 (-.f64 1 (.f64 (.f64 (cos.f64 x) 1/2) 3)) (*.f64 2 (sin.f64 x))))
(+.f64 (/.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -4)) (sin.f64 x)) (-.f64 (/.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -4)) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 2 (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (.f64 (.f64 (cos.f64 x) 1/2) 3)) (*.f64 2 (sin.f64 x))) (/.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -4)) (sin.f64 x)))
(+.f64 (/.f64 (-.f64 1 (.f64 3 (/.f64 (cos.f64 x) 4))) (sin.f64 x)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -4)))
(+.f64 (-.f64 (/.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 4))))
(+.f64 (-.f64 (/.f64 (-.f64 (neg.f64 (cos.f64 x)) -2) (sin.f64 x)) (/.f64 (cos.f64 x) (.f64 2 (sin.f64 x)))) (/.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (sin.f64 x)))
(+.f64 (/.f64 0 (*.f64 (sin.f64 x) 4)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 0 (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (/.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -4)) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 (-.f64 1 (.f64 (.f64 (cos.f64 x) 1/2) 3)) (*.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 (/.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -4)) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 (-.f64 1 (.f64 3 (/.f64 (cos.f64 x) 4))) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) 2) (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 3) (*.f64 2 (sin.f64 x))) 2))
(+.f64 (/.f64 (-.f64 1 (.f64 (.f64 (cos.f64 x) 1/2) 3)) (.f64 (sin.f64 x) 4)) (/.f64 (+.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (.f64 2 (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) 4)))
(+.f64 (/.f64 (-.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 2) (cos.f64 x)) (.f64 (sin.f64 x) 4)) (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) (.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 4)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 3) (*.f64 (sin.f64 x) 4)))
(+.f64 (/.f64 (-.f64 1 (+.f64 1 (.f64 (cos.f64 x) 1/2))) (sin.f64 x)) (/.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(+.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)) (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 2) (sin.f64 x)))
(+.f64 (/.f64 0 (/.f64 (*.f64 2 (sin.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)) (/.f64 (.f64 2 (sin.f64 x)) (sin.f64 x))) (/.f64 (/.f64 (-.f64 1 (.f64 (.f64 (cos.f64 x) 1/2) 3)) (sin.f64 x)) (/.f64 (*.f64 2 (sin.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1/2) (/.f64 (.f64 2 (sin.f64 x)) (sin.f64 x))) (/.f64 (/.f64 (-.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 2) (cos.f64 x)) (sin.f64 x)) (/.f64 (.f64 2 (sin.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (.f64 2 (sin.f64 x)) (sin.f64 x))) (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 3) (.f64 2 (sin.f64 x))) (/.f64 (*.f64 2 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (/.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -4)) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 2 (sin.f64 x)))) (/.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -4)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (*.f64 (sin.f64 x) 4)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (/.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (/.f64 (*.f64 2 (sin.f64 x)) (sin.f64 x))))
(-.f64 0 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 0 (-.f64 (/.f64 (cos.f64 x) (.f64 2 (sin.f64 x))) (/.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (sin.f64 x))))
(-.f64 0 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 0 (+.f64 (/.f64 (cos.f64 x) (.f64 2 (sin.f64 x))) (/.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (sin.f64 x))))
(-.f64 0 (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (sin.f64 x)) (/.f64 (cos.f64 x) (.f64 2 (sin.f64 x)))))
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)) (/.f64 (cos.f64 x) (.f64 2 (sin.f64 x))))
(-.f64 (/.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) -2)) (/.f64 (-.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 2 (sin.f64 x)))))
(-.f64 (/.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)) (/.f64 (+.f64 (+.f64 (cos.f64 x) -1) (-.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1))) (.f64 2 (sin.f64 x))))
(-.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1/2) (/.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (sin.f64 x)))
(-.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1/2) (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (sin.f64 x)) 0))
(-.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1/2) (/.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) -2)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) -2)) (/.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x))) (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (.f64 2 (sin.f64 x)) (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (.f64 -2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 4)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) (+.f64 (.f64 (cos.f64 x) 1/2) -1)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 (neg.f64 (cos.f64 x)) -2) (sin.f64 x)) (/.f64 (-.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 (neg.f64 (cos.f64 x)) -2) (sin.f64 x)) (/.f64 (/.f64 (-.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) -2)) (/.f64 (cos.f64 x) (.f64 2 (sin.f64 x)))))
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 2 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -4)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) -2)) (/.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (.f64 2 (sin.f64 x)))))
(-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -4)) (/.f64 (+.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (+.f64 (cos.f64 x) -1)) (*.f64 2 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -4)) (-.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -4))))
(-.f64 (/.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -4)) (sin.f64 x)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) -2)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4))))
(-.f64 (/.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -4)) (sin.f64 x)) (/.f64 (+.f64 (.f64 (cos.f64 x) 1/2) (+.f64 (cos.f64 x) -1)) (.f64 2 (sin.f64 x))))
(-.f64 (/.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -4)) (sin.f64 x)) (-.f64 (/.f64 (cos.f64 x) (*.f64 2 (sin.f64 x))) (/.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -4)) (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1 (.f64 (.f64 (cos.f64 x) 1/2) 3)) (.f64 2 (sin.f64 x))) (/.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (*.f64 2 (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1 (.f64 3 (/.f64 (cos.f64 x) 4))) (sin.f64 x)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4)))
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 0)) (sin.f64 x)) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 0)) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -4)) (/.f64 1 (sin.f64 x))) (-.f64 (/.f64 (cos.f64 x) (.f64 2 (sin.f64 x))) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -4))))
(-.f64 (-.f64 (/.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) -2))) (/.f64 (-.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 2 (sin.f64 x))))
(-.f64 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) -2))) (/.f64 (cos.f64 x) (.f64 2 (sin.f64 x))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -4)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) -2))) (/.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (.f64 2 (sin.f64 x))))
(-.f64 (-.f64 (/.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -4)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) -2))) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4)))
(-.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 3) (.f64 2 (sin.f64 x))) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -2)) 2))
(-.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 3) (.f64 2 (sin.f64 x))) (/.f64 (.f64 2 (sin.f64 x)) (sin.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) -2)) (/.f64 (*.f64 2 (sin.f64 x)) (sin.f64 x))))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 3) (.f64 (sin.f64 x) 4)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 4)))
(-.f64 (/.f64 (+.f64 (-.f64 (neg.f64 (cos.f64 x)) -2) (-.f64 1 (cos.f64 x))) (.f64 2 (sin.f64 x))) (/.f64 (-.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 2 (sin.f64 x))))
(-.f64 (/.f64 (/.f64 (+.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 2 (sin.f64 x))) 2) (/.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (*.f64 2 (sin.f64 x))) 2))
(-.f64 (/.f64 (/.f64 (+.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 2 (sin.f64 x))) (/.f64 (.f64 2 (sin.f64 x)) (sin.f64 x))) (/.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (.f64 2 (sin.f64 x))) (/.f64 (*.f64 2 (sin.f64 x)) (sin.f64 x))))
(-.f64 (-.f64 (/.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -4)) (sin.f64 x)) (/.f64 (cos.f64 x) (.f64 2 (sin.f64 x)))) (/.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (*.f64 2 (sin.f64 x))))
(-.f64 (-.f64 (/.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)) (/.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (-.f64 (/.f64 (cos.f64 x) (.f64 2 (sin.f64 x))) (/.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (sin.f64 x))))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (-.f64 0 (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (sin.f64 x)) 1/2)
(.f64 (/.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 1 (/.f64 (*.f64 2 (sin.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(.f64 1/2 (/.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (sin.f64 x)) 1/4)
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (sin.f64 x)) (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 4) (sin.f64 x))))
(.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 1 (.f64 (sin.f64 x) 8)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 2 (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (sin.f64 x))) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (sin.f64 x)))
(.f64 (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (.f64 1 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(+.f64 (+.f64 1 (*.f64 (cos.f64 x) -1/2)) 0)
(+.f64 (*.f64 (cos.f64 x) -1/2) 1)
(+.f64 0 (+.f64 1 (*.f64 (cos.f64 x) -1/2)))
(+.f64 (+.f64 1 (/.f64 (cos.f64 x) -4)) (/.f64 (cos.f64 x) -4))
(+.f64 (/.f64 (cos.f64 x) -4) (+.f64 1 (/.f64 (cos.f64 x) -4)))
(+.f64 (/.f64 (cos.f64 x) -4) (+.f64 (/.f64 (cos.f64 x) -4) 1))
(+.f64 (/.f64 (cos.f64 x) -4) (/.f64 (+.f64 (*.f64 (cos.f64 x) -1/2) 2) 2))
(+.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -4)) (+.f64 1/2 (/.f64 (cos.f64 x) -4)))
(.f64 1 (+.f64 1 (.f64 (cos.f64 x) -1/2)))
(.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) 1)
(.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) -1)
(*.f64 (-.f64 (neg.f64 (cos.f64 x)) -2) 1/2)
(*.f64 1/2 (-.f64 (neg.f64 (cos.f64 x)) -2))
(.f64 (.f64 2 (-.f64 (neg.f64 (cos.f64 x)) -2)) 1/4)
(/.f64 (+.f64 1 (*.f64 (cos.f64 x) -1/2)) 1)
(/.f64 (+.f64 (*.f64 (cos.f64 x) 1/2) -1) -1)
(/.f64 (-.f64 (neg.f64 (cos.f64 x)) -2) 2)
(/.f64 (*.f64 2 (-.f64 (neg.f64 (cos.f64 x)) -2)) 4)
(pow.f64 (+.f64 1 (*.f64 (cos.f64 x) -1/2)) 1)
(neg.f64 (+.f64 (*.f64 (cos.f64 x) 1/2) -1))

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

localize109.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) 2))
✓	0.2b	(+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1))
✓	2.2b	(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) 2)))
	2.2b	(+.f64 (cos.f64 x) -1)

Compiler

Compiled 57 to 30 computations (47.4% saved)

series46.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
42.0ms	x	@	inf	(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) 2)))
2.0ms	x	@	-inf	(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) 2)))
1.0ms	x	@	0	(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) 2)))
0.0ms	x	@	0	(/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) 2))
0.0ms	x	@	0	(+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1))

rewrite847.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`rational_best-simplify-1`
700×	`rational_best-simplify-52`
580×	`rational_best-simplify-67`
572×	`rational_best-simplify-53`
544×	`rational_best-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	111
1	114	111
2	325	65
3	1347	59
4	7699	59

Stop Event

1×	node limit

Counts

3 → 280

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify855.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1514×	`rational_best-simplify-1`
944×	`rational_best-simplify-3`
768×	`rational_best-simplify-51`
766×	`rational_best-simplify-108`
712×	`rational_best-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	604	12842
1	1676	11464
2	5414	8532

Stop Event

1×	node limit

Counts

316 → 389

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 1/2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 (*.f64 2 (cos.f64 x)) 1) (sin.f64 x))))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 (*.f64 2 (cos.f64 x)) 1) (sin.f64 x))))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 (*.f64 2 (cos.f64 x)) 1) (sin.f64 x))))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 (*.f64 2 (cos.f64 x)) 1) (sin.f64 x))))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 (*.f64 2 (cos.f64 x)) 1) (sin.f64 x))))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 (*.f64 2 (cos.f64 x)) 1) (sin.f64 x))))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 (*.f64 2 (cos.f64 x)) 1) (sin.f64 x))))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 (*.f64 2 (cos.f64 x)) 1) (sin.f64 x))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (*.f64 2 (cos.f64 x)) 1)
(-.f64 (*.f64 2 (cos.f64 x)) 1)
(-.f64 (*.f64 2 (cos.f64 x)) 1)
(-.f64 (*.f64 2 (cos.f64 x)) 1)
(-.f64 (*.f64 2 (cos.f64 x)) 1)
(-.f64 (*.f64 2 (cos.f64 x)) 1)
(-.f64 (*.f64 2 (cos.f64 x)) 1)
(-.f64 (*.f64 2 (cos.f64 x)) 1)
(/.f64 1/2 x)
(+.f64 (.f64 -5/12 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -5/12 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 -23/720 (pow.f64 x 3))))
(+.f64 (.f64 -5/12 x) (+.f64 (.f64 -19/6048 (pow.f64 x 5)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -23/720 (pow.f64 x 3)))))
(.f64 1/2 (/.f64 (-.f64 (.f64 2 (cos.f64 x)) 1) (sin.f64 x)))
(.f64 1/2 (/.f64 (-.f64 (.f64 2 (cos.f64 x)) 1) (sin.f64 x)))
(.f64 1/2 (/.f64 (-.f64 (.f64 2 (cos.f64 x)) 1) (sin.f64 x)))
(.f64 1/2 (/.f64 (-.f64 (.f64 2 (cos.f64 x)) 1) (sin.f64 x)))
(.f64 1/2 (/.f64 (-.f64 (.f64 2 (cos.f64 x)) 1) (sin.f64 x)))
(.f64 1/2 (/.f64 (-.f64 (.f64 2 (cos.f64 x)) 1) (sin.f64 x)))
(.f64 1/2 (/.f64 (-.f64 (.f64 2 (cos.f64 x)) 1) (sin.f64 x)))
(.f64 1/2 (/.f64 (-.f64 (.f64 2 (cos.f64 x)) 1) (sin.f64 x)))
(+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1/2) (neg.f64 (sin.f64 x))))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (neg.f64 (sin.f64 x))) (/.f64 1/2 (sin.f64 x)))
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (neg.f64 (sin.f64 x))) (neg.f64 (/.f64 -1/2 (sin.f64 x))))
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (/.f64 1/2 (sin.f64 x)))))
(+.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 0 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 1/4 (sin.f64 x)) (-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1/2 (+.f64 (/.f64 (cos.f64 x) 2) -1/2)) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -2)))
(+.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -2)) (/.f64 (-.f64 1/2 (+.f64 (/.f64 (cos.f64 x) 2) -1/2)) (sin.f64 x)))
(+.f64 (/.f64 (-.f64 1 (+.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (neg.f64 (sin.f64 x))) 2))
(+.f64 (/.f64 (-.f64 1 (+.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 x) 2)) (-.f64 (/.f64 1/4 (sin.f64 x)) (.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))))
(+.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (neg.f64 (sin.f64 x))) 2) (/.f64 (-.f64 1 (+.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (neg.f64 (sin.f64 x))) 2) (neg.f64 (/.f64 (-.f64 (+.f64 (cos.f64 x) -1/2) 1) (*.f64 (sin.f64 x) 2))))
(+.f64 (neg.f64 (/.f64 -1/2 (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1/2) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (neg.f64 (/.f64 0 (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(+.f64 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 4))) (neg.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 3)) (*.f64 (sin.f64 x) 4))))
(+.f64 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4))) (neg.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) 3) 2) (*.f64 (sin.f64 x) 4))))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))) (neg.f64 (/.f64 1/2 (sin.f64 x))))
(+.f64 (-.f64 (neg.f64 (/.f64 -1/2 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x))) (neg.f64 (/.f64 -1/2 (sin.f64 x))))
(+.f64 (-.f64 (neg.f64 (/.f64 -1/2 (sin.f64 x))) (/.f64 0 (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1/2) (neg.f64 (sin.f64 x))))
(+.f64 (-.f64 (neg.f64 (/.f64 -1/2 (sin.f64 x))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)) 2)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (neg.f64 (sin.f64 x))) 2))
(+.f64 (-.f64 (neg.f64 (/.f64 -1/2 (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 4))) (neg.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 3)) (*.f64 (sin.f64 x) 4))))
(+.f64 (-.f64 (neg.f64 (/.f64 -1/2 (sin.f64 x))) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4))) (neg.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) 3) 2) (*.f64 (sin.f64 x) 4))))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 0 (sin.f64 x))) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 -1/2 (sin.f64 x))) (-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 0 (sin.f64 x))) (-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))))
(+.f64 (-.f64 (/.f64 1/4 (sin.f64 x)) (.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))) (/.f64 (-.f64 1 (+.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 x) 2)))
(+.f64 (-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 4))) (-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 3)) (*.f64 (sin.f64 x) 4))))
(+.f64 (-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))) (/.f64 1/4 (sin.f64 x)))
(+.f64 (-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))) (-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 0 (sin.f64 x))))
(+.f64 (-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 -1/2 (sin.f64 x))))
(+.f64 (-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4))) (-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (-.f64 (.f64 (cos.f64 x) 3) 2) (*.f64 (sin.f64 x) 4))))
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(-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4)) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -2)) (/.f64 (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) 4)))))
(-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4)) (+.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (neg.f64 (sin.f64 x))) 2) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4))))
(-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4)) (/.f64 (-.f64 0 (-.f64 (.f64 (cos.f64 x) 3) 2)) (*.f64 (sin.f64 x) 4)))
(-.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) 3) 2) (.f64 (sin.f64 x) 4)) (/.f64 (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) 4))))
(-.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 3)) (.f64 (sin.f64 x) 4)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -2))) (/.f64 (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) 4))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -2))) (-.f64 0 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 4))))
(-.f64 (-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 4)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (neg.f64 (sin.f64 x))) 2)) (/.f64 (cos.f64 x) (neg.f64 (.f64 (sin.f64 x) 4))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (neg.f64 (sin.f64 x))) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) 3) (*.f64 (sin.f64 x) 4)) 2) (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (neg.f64 (sin.f64 x))) 2) 2))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) 3) (*.f64 (sin.f64 x) 4)) (+.f64 2 (/.f64 0 (sin.f64 x)))) (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (neg.f64 (sin.f64 x))) 2) (+.f64 2 (/.f64 0 (sin.f64 x)))))
(-.f64 (/.f64 (.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) 3) (.f64 (sin.f64 x) 8)) (/.f64 (-.f64 1 (.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) 8)))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2))) (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 4))))
(-.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 4)) (.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)))
(-.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 4)) (.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))) (-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 4))))
(-.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 4)) (.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))) (-.f64 (neg.f64 (/.f64 0 (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 4))))
(-.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 4)) (.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))) (-.f64 (+.f64 (/.f64 (sin.f64 0) 2) (/.f64 0 (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 4))))
(-.f64 (+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4)) (.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))) (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 4))))
(-.f64 (+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4)) (.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))) (-.f64 (neg.f64 (/.f64 -1/2 (sin.f64 x))) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 4))))
(-.f64 (+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4)) (.f64 1/2 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (/.f64 (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) 4))))
(-.f64 (+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4)) (.f64 1/2 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 0 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 4))))
(-.f64 (+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 4)) (.f64 1/2 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 (neg.f64 (/.f64 0 (sin.f64 x))) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 4))))
(.f64 1/2 (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 (cos.f64 x) 2)))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (*.f64 (sin.f64 x) 2) (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))))
(.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (/.f64 1/2 (sin.f64 x)))
(*.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)) 2))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (cos.f64 x) -1/2)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)) (*.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)) 1)
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)))
(.f64 (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))) 1/2)
(.f64 (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))) (/.f64 1 (+.f64 2 (/.f64 0 (sin.f64 x)))))
(.f64 (-.f64 (.f64 (cos.f64 x) 4) 2) (/.f64 1/4 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1/2) (/.f64 1 (sin.f64 x)))
(.f64 4 (/.f64 (+.f64 (cos.f64 x) -1/2) (.f64 (sin.f64 x) 4)))
(.f64 4 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) 8)))
(.f64 4 (.f64 (+.f64 (cos.f64 x) -1/2) (/.f64 1/4 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)) 2) 2)
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)) 2) (/.f64 1 (+.f64 1/2 (/.f64 0 (sin.f64 x)))))
(.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) 4) 2) (sin.f64 x)) 1/4)
(.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) 4) 2) (sin.f64 x)) (/.f64 1 (+.f64 4 (/.f64 0 (sin.f64 x)))))
(.f64 (.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) 4) (/.f64 1 (.f64 (sin.f64 x) 8)))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 (cos.f64 x) -1/2))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 1/2 (+.f64 -1 (*.f64 (cos.f64 x) 2))))
(.f64 (/.f64 1/4 (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) 4) 2))
(.f64 (/.f64 1/4 (sin.f64 x)) (.f64 (.f64 (sin.f64 x) 2) (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)))))
(.f64 1/4 (/.f64 (-.f64 (.f64 (cos.f64 x) 4) 2) (sin.f64 x)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 8)) (.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) 4))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 8)) (.f64 (.f64 (sin.f64 x) 2) (/.f64 (-.f64 (*.f64 (cos.f64 x) 4) 2) (sin.f64 x))))
(.f64 (.f64 2 (/.f64 (-.f64 (*.f64 (cos.f64 x) 4) 2) (sin.f64 x))) 1/8)
(.f64 (.f64 2 (.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) 4)) (/.f64 1 (.f64 2 (.f64 (sin.f64 x) 8))))
(.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)) (.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2))
(.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 1 (/.f64 1/2 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)) (sin.f64 x)) (/.f64 1 (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1/2) 2))
(.f64 (/.f64 2 (sin.f64 x)) (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) 4))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 1/2 (+.f64 (cos.f64 x) -1/2)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) 2) (/.f64 2 (sin.f64 x)))
(.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) 4) (/.f64 2 (sin.f64 x)))
(.f64 (.f64 1/2 (+.f64 -1 (*.f64 (cos.f64 x) 2))) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (cos.f64 x) -1/2)) 2)
(.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (.f64 (sin.f64 x) 4)) 4)
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)))
(.f64 (/.f64 1 (+.f64 2 (/.f64 0 (sin.f64 x)))) (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)) (sin.f64 x)))
(.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) 8)) 4)
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 0 (sin.f64 x)))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)) 2))
(.f64 (/.f64 1 (+.f64 4 (/.f64 0 (sin.f64 x)))) (/.f64 (-.f64 (.f64 (cos.f64 x) 4) 2) (sin.f64 x)))
(.f64 1/8 (.f64 2 (/.f64 (-.f64 (*.f64 (cos.f64 x) 4) 2) (sin.f64 x))))
(.f64 (/.f64 1 (.f64 2 (.f64 (sin.f64 x) 8))) (.f64 2 (.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) 4)))
(.f64 (/.f64 1 (/.f64 1/2 (sin.f64 x))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 x) 2)) (.f64 (.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1/2)))
(.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (sin.f64 x) 2)) (.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) 2)))
(.f64 (.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (.f64 (sin.f64 x) 2)) (/.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) 2)))
(.f64 (.f64 (.f64 (sin.f64 x) 2) (-.f64 (.f64 (cos.f64 x) 4) 2)) (/.f64 (/.f64 1/4 (sin.f64 x)) (*.f64 (sin.f64 x) 2)))
(.f64 (.f64 (.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1/2)) (/.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (.f64 (.f64 (sin.f64 x) 2) (.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) 4)) (/.f64 (/.f64 1 (.f64 (sin.f64 x) 8)) (*.f64 (sin.f64 x) 2)))
(.f64 (.f64 (*.f64 (sin.f64 x) 2) (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (.f64 (sin.f64 x) 2) (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)))) (/.f64 1/4 (sin.f64 x)))
(.f64 (.f64 (.f64 (sin.f64 x) 2) (/.f64 (-.f64 (.f64 (cos.f64 x) 4) 2) (sin.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) 8)))
(.f64 (.f64 (+.f64 (cos.f64 x) -1/2) (/.f64 1/4 (sin.f64 x))) 4)
(.f64 (.f64 1/2 (+.f64 (cos.f64 x) -1/2)) (/.f64 2 (sin.f64 x)))
(.f64 (/.f64 (/.f64 1/4 (sin.f64 x)) (.f64 (sin.f64 x) 2)) (.f64 (.f64 (sin.f64 x) 2) (-.f64 (*.f64 (cos.f64 x) 4) 2)))
(.f64 (/.f64 (/.f64 1 (.f64 (sin.f64 x) 8)) (.f64 (sin.f64 x) 2)) (.f64 (.f64 (sin.f64 x) 2) (.f64 (+.f64 -1 (*.f64 (cos.f64 x) 2)) 4)))
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (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 1/24 (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 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/2 x)))
(+.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 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 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 (*.f64 2 (cos.f64 x)) 1) (sin.f64 x))))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (*.f64 2 (cos.f64 x)))))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 2 (neg.f64 (.f64 2 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 (*.f64 2 (cos.f64 x)) 1) (sin.f64 x))))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (*.f64 2 (cos.f64 x)))))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 2 (neg.f64 (.f64 2 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 (*.f64 2 (cos.f64 x)) 1) (sin.f64 x))))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (*.f64 2 (cos.f64 x)))))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 2 (neg.f64 (.f64 2 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 (*.f64 2 (cos.f64 x)) 1) (sin.f64 x))))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (*.f64 2 (cos.f64 x)))))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 2 (neg.f64 (.f64 2 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 (*.f64 2 (cos.f64 x)) 1) (sin.f64 x))))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (*.f64 2 (cos.f64 x)))))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 2 (neg.f64 (.f64 2 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 (*.f64 2 (cos.f64 x)) 1) (sin.f64 x))))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (*.f64 2 (cos.f64 x)))))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 2 (neg.f64 (.f64 2 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 (*.f64 2 (cos.f64 x)) 1) (sin.f64 x))))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (*.f64 2 (cos.f64 x)))))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 2 (neg.f64 (.f64 2 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 1/2 (/.f64 (-.f64 (*.f64 2 (cos.f64 x)) 1) (sin.f64 x))))
(-.f64 (.f64 1/2 (/.f64 1 (sin.f64 x))) (.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (*.f64 2 (cos.f64 x)))))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 2 (neg.f64 (.f64 2 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) 1))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 1 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 -1/360 (pow.f64 x 6))) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 -1/360 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 -1/360 (pow.f64 x 6)))))
(-.f64 (*.f64 2 (cos.f64 x)) 1)
(+.f64 -1 (*.f64 2 (cos.f64 x)))
(-.f64 (*.f64 2 (cos.f64 x)) 1)
(+.f64 -1 (*.f64 2 (cos.f64 x)))
(-.f64 (*.f64 2 (cos.f64 x)) 1)
(+.f64 -1 (*.f64 2 (cos.f64 x)))
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(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (.f64 1/2 (+.f64 -1 (*.f64 (cos.f64 x) 2))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (cos.f64 x) -1/2)) 2)
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (.f64 (sin.f64 x) 4)) 4)
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (/.f64 1 (+.f64 2 (/.f64 0 (sin.f64 x)))) (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)) (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) 8)) 4)
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 0 (sin.f64 x)))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)) 2))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (/.f64 1 (+.f64 4 (/.f64 0 (sin.f64 x)))) (/.f64 (-.f64 (.f64 (cos.f64 x) 4) 2) (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 1/8 (.f64 2 (/.f64 (-.f64 (*.f64 (cos.f64 x) 4) 2) (sin.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (/.f64 1 (.f64 2 (.f64 (sin.f64 x) 8))) (.f64 2 (.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) 4)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 1/2 (sin.f64 x))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 x) 2)) (.f64 (.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1/2)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (sin.f64 x) 2)) (.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) 2)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (.f64 (sin.f64 x) 2)) (/.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) 2)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (.f64 (.f64 (sin.f64 x) 2) (-.f64 (.f64 (cos.f64 x) 4) 2)) (/.f64 (/.f64 1/4 (sin.f64 x)) (*.f64 (sin.f64 x) 2)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (.f64 (.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1/2)) (/.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (.f64 (.f64 (sin.f64 x) 2) (.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) 4)) (/.f64 (/.f64 1 (.f64 (sin.f64 x) 8)) (*.f64 (sin.f64 x) 2)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (.f64 (*.f64 (sin.f64 x) 2) (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))) (/.f64 1/2 (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (.f64 (.f64 (sin.f64 x) 2) (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)))) (/.f64 1/4 (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (.f64 (.f64 (sin.f64 x) 2) (/.f64 (-.f64 (.f64 (cos.f64 x) 4) 2) (sin.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) 8)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (.f64 (+.f64 (cos.f64 x) -1/2) (/.f64 1/4 (sin.f64 x))) 4)
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (.f64 1/2 (+.f64 (cos.f64 x) -1/2)) (/.f64 2 (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (/.f64 (/.f64 1/4 (sin.f64 x)) (.f64 (sin.f64 x) 2)) (.f64 (.f64 (sin.f64 x) 2) (-.f64 (*.f64 (cos.f64 x) 4) 2)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(.f64 (/.f64 (/.f64 1 (.f64 (sin.f64 x) 8)) (.f64 (sin.f64 x) 2)) (.f64 (.f64 (sin.f64 x) 2) (.f64 (+.f64 -1 (*.f64 (cos.f64 x) 2)) 4)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)) 1)
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (.f64 2 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))

eval1.9s (2.8%)

Compiler: Compiled 25113 to 16022 computations (36.2% saved)

prune1.4s (2.1%)

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	1280	25	1305
Fresh	6	3	9
Picked	1	0	1
Done	1	4	5
Total	1288	32	1320

Error

0.1b

Counts

1320 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	31.0b	(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 2 (sin.f64 x))))
▶	32.1b	(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 -1 (sin.f64 x)))
	31.1b	(/.f64 (-.f64 (/.f64 (+.f64 2 (-.f64 1 (cos.f64 x))) (.f64 2 (sin.f64 x))) (/.f64 (-.f64 (cos.f64 x) (-.f64 1 (.f64 2 (cos.f64 x)))) (*.f64 2 (sin.f64 x)))) 2)
	31.1b	(/.f64 (-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) -4)))) (sin.f64 x))
	31.0b	(/.f64 (-.f64 (/.f64 (cos.f64 x) -4) (-.f64 -1 (*.f64 (cos.f64 x) -3/4))) (sin.f64 x))
	31.1b	(/.f64 (-.f64 (+.f64 2 (neg.f64 (cos.f64 x))) (cos.f64 x)) (*.f64 (sin.f64 x) 2))
	31.0b	(/.f64 (-.f64 (+.f64 1/2 (-.f64 1 (cos.f64 x))) 1/2) (sin.f64 x))
✓	30.9b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶	30.9b	(/.f64 (-.f64 1/2 (+.f64 -1/2 (cos.f64 x))) (sin.f64 x))
	31.0b	(/.f64 (+.f64 (-.f64 (+.f64 2 (.f64 (cos.f64 x) -1/2)) (cos.f64 x)) (-.f64 (.f64 (cos.f64 x) -1/2) (-.f64 -2 (.f64 (cos.f64 x) -2)))) (.f64 4 (sin.f64 x)))
	31.1b	(-.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4) (-.f64 (/.f64 (+.f64 (*.f64 1/2 (cos.f64 x)) -1) (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4)))
	31.0b	(-.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 x) 3/4)) (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 4) (sin.f64 x)))
	31.1b	(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
	31.0b	(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)))
	56.3b	(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 x))
	60.4b	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) 1) -1)
	59.9b	(-.f64 (-.f64 (*.f64 1/2 x) 1) -1)
	31.1b	(-.f64 (-.f64 -1 (/.f64 (/.f64 (-.f64 (cos.f64 x) (+.f64 (-.f64 (cos.f64 (neg.f64 x)) -2) (/.f64 (cos.f64 x) -1/2))) 2) (sin.f64 x))) -1)
✓	31.0b	(-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
▶	30.6b	(-.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) (.f64 x 1/2))
▶	61.2b	(-.f64 -1 -1)
	30.9b	(+.f64 (/.f64 (-.f64 1 (.f64 (.f64 (cos.f64 x) 1/2) 3)) (.f64 (sin.f64 x) 4)) (/.f64 (+.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (.f64 2 (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) 4)))
▶	31.0b	(+.f64 (/.f64 3/4 (sin.f64 x)) (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)))
	31.0b	(+.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (-.f64 1/4 (+.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
	31.0b	(+.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 3/2) (sin.f64 x)))
	30.9b	(+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
	31.0b	(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -2) 2)
	30.6b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
✓	30.6b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
	30.9b	(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (-.f64 (.f64 1/2 x) (/.f64 x -4)) (/.f64 x -4)))
	31.0b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
✓	30.3b	(*.f64 1/2 x)

Compiler

Compiled 920 to 679 computations (26.2% saved)

localize34.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 25 computations (26.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite690.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`rational_best-simplify-1`
724×	`rational_best-1`
722×	`rational_best-4`
722×	`rational_best-2`
722×	`rational_best-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	74	50
2	147	50
3	408	44
4	1842	44
5	7006	44

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

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

Outputs

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

simplify513.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1344×	`rational_best-simplify-47`
1046×	`rational_best-simplify-52`
1042×	`rational_best-simplify-48`
878×	`rational_best-simplify-51`
866×	`rational_best-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	5407
1	864	5279
2	2368	5189

Stop Event

1×	node limit

Counts

185 → 235

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 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
x
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x -1/2)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))
(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) (.f64 x -1/2))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) 0)
(+.f64 0 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)))
(+.f64 -1 (-.f64 1 (-.f64 (.f64 x -1/2) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x -1/2)) x)
(+.f64 (.f64 x -1/2) (+.f64 x (.f64 1/24 (pow.f64 x 3))))
(+.f64 (-.f64 x (-.f64 (neg.f64 (.f64 (pow.f64 x 3) 1/12)) (.f64 x 1/2))) (-.f64 (*.f64 (pow.f64 x 3) -1/24) x))
(+.f64 (-.f64 (.f64 (pow.f64 x 3) -1/24) x) (-.f64 x (-.f64 (neg.f64 (.f64 (pow.f64 x 3) 1/12)) (*.f64 x 1/2))))
(+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4))
(+.f64 (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) 2) (/.f64 (.f64 1/24 (pow.f64 x 3)) 2))
(+.f64 (/.f64 (.f64 1/24 (pow.f64 x 3)) 2) (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) 2))
(+.f64 (+.f64 x (/.f64 (.f64 1/24 (pow.f64 x 3)) 2)) (/.f64 (-.f64 (.f64 1/24 (pow.f64 x 3)) x) 2))
(+.f64 (/.f64 x -4) (+.f64 (/.f64 x -4) (+.f64 x (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (/.f64 x -4) (neg.f64 (-.f64 (/.f64 x 4) (+.f64 x (*.f64 1/24 (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 x -4) (+.f64 x (*.f64 1/24 (pow.f64 x 3)))) (/.f64 x -4))
(+.f64 (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) 4) (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (/.f64 (+.f64 x (*.f64 1/24 (pow.f64 x 3))) 2)) 2))
(+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 8) (/.f64 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 3/2) 4))
(+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 8) (/.f64 (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4)) 2))
(+.f64 (/.f64 (-.f64 (.f64 1/24 (pow.f64 x 3)) x) 2) (+.f64 x (/.f64 (.f64 1/24 (pow.f64 x 3)) 2)))
(+.f64 (-.f64 -1 (.f64 x -1/2)) (-.f64 1 (.f64 (pow.f64 x 3) -1/24)))
(+.f64 (-.f64 1 (.f64 (pow.f64 x 3) -1/24)) (-.f64 -1 (.f64 x -1/2)))
(+.f64 (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) (-.f64 1 (.f64 x 1/2)))
(+.f64 (-.f64 1 (.f64 x 1/2)) (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)))
(+.f64 (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24))) (-.f64 1 (neg.f64 x)))
(+.f64 (-.f64 1 (neg.f64 x)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24))))
(+.f64 (-.f64 1 (.f64 x -1/2)) (-.f64 -1 (.f64 (pow.f64 x 3) -1/24)))
(+.f64 (-.f64 -1 (.f64 (pow.f64 x 3) -1/24)) (-.f64 1 (.f64 x -1/2)))
(+.f64 (-.f64 -1 (.f64 x 1/2)) (-.f64 1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)))
(+.f64 (-.f64 1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) (-.f64 -1 (.f64 x 1/2)))
(+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24))))
(+.f64 (-.f64 1 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24))) (-.f64 -1 (neg.f64 x)))
(+.f64 (-.f64 -1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x -1/2))) (-.f64 1 (neg.f64 (*.f64 (pow.f64 x 3) 1/12))))
(+.f64 (/.f64 (-.f64 x (-.f64 (neg.f64 (.f64 (pow.f64 x 3) 1/12)) (.f64 x 1/2))) 4) (/.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) 1/12)) 4))
(+.f64 (neg.f64 (-.f64 (/.f64 x 4) x)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/24) (/.f64 x 4))))
(+.f64 (neg.f64 (-.f64 -1 x)) (neg.f64 (-.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x -1/2)))))
(+.f64 (neg.f64 (-.f64 (/.f64 x 4) (+.f64 x (*.f64 1/24 (pow.f64 x 3))))) (/.f64 x -4))
(+.f64 (neg.f64 (/.f64 (.f64 1/24 (pow.f64 x 3)) -2)) (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) 2))
(+.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/24) (/.f64 x 4))) (neg.f64 (-.f64 (/.f64 x 4) x)))
(+.f64 (neg.f64 (-.f64 -1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x -1/2)))) (neg.f64 (-.f64 1 x)))
(+.f64 (/.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 3/2) 2) (neg.f64 (/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))
(+.f64 (-.f64 -1 (-.f64 (.f64 x -1/2) (.f64 1/24 (pow.f64 x 3)))) 1)
(+.f64 (-.f64 -1 (neg.f64 (.f64 (pow.f64 x 3) 1/12))) (-.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x -1/2))))
(+.f64 (-.f64 -1 (neg.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)))) (-.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))))
(+.f64 (-.f64 -1 (-.f64 (/.f64 x -1/2) (.f64 (pow.f64 x 3) 1/12))) (-.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 3/2))))
(+.f64 (-.f64 -1 (-.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/24) x) (/.f64 x 4))) (-.f64 1 (-.f64 x (/.f64 x 4))))
(+.f64 (-.f64 -1 (.f64 x 3/2)) (-.f64 1 (+.f64 (neg.f64 x) (-.f64 (.f64 (pow.f64 x 3) -1/24) x))))
(+.f64 (-.f64 -1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (-.f64 1 (neg.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)))))
(+.f64 (-.f64 -1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3/2))) (-.f64 1 (-.f64 (/.f64 x -1/2) (*.f64 (pow.f64 x 3) 1/12))))
(+.f64 (-.f64 -1 (+.f64 (neg.f64 x) (-.f64 (.f64 (pow.f64 x 3) -1/24) x))) (-.f64 1 (.f64 x 3/2)))
(+.f64 (-.f64 -1 (.f64 (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) 2) -3)) (-.f64 1 (+.f64 x (/.f64 (*.f64 1/24 (pow.f64 x 3)) 2))))
(+.f64 (-.f64 -1 (-.f64 x (/.f64 x 4))) (-.f64 1 (-.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/24) x) (/.f64 x 4))))
(+.f64 (-.f64 -1 (+.f64 x (/.f64 (.f64 1/24 (pow.f64 x 3)) 2))) (-.f64 1 (.f64 (/.f64 (+.f64 x (*.f64 1/24 (pow.f64 x 3))) 2) -3)))
(.f64 1/2 (+.f64 x (.f64 (pow.f64 x 3) 1/12)))
(.f64 1/2 (+.f64 (+.f64 x x) (-.f64 (.f64 (pow.f64 x 3) 1/12) x)))
(.f64 1/2 (+.f64 (-.f64 (.f64 (pow.f64 x 3) 1/12) x) (+.f64 x x)))
(.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 -1 (-.f64 (.f64 x -1/2) (*.f64 1/24 (pow.f64 x 3))))
(.f64 (-.f64 (.f64 x -1/2) (*.f64 1/24 (pow.f64 x 3))) -1)
(.f64 2 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4))
(.f64 2 (.f64 1/2 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))))
(.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 1/2)
(.f64 -2 (neg.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4)))
(.f64 1/4 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 1/6)))
(.f64 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 1/6)) 1/4)
(.f64 1/8 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))
(.f64 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 1/8)
(.f64 (.f64 1/2 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) 2)
(.f64 (+.f64 (+.f64 x x) (-.f64 (.f64 (pow.f64 x 3) 1/12) x)) 1/2)
(.f64 (+.f64 (-.f64 (.f64 (pow.f64 x 3) 1/12) x) (+.f64 x x)) 1/2)
(/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) 1)
(/.f64 (-.f64 (.f64 x -1/2) (.f64 1/24 (pow.f64 x 3))) -1)
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 2)
(/.f64 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 1/6)) 4)
(/.f64 (neg.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) -2)
(/.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4) 8)
(/.f64 (.f64 -2 (+.f64 x (.f64 (pow.f64 x 3) 1/12))) -4)
(/.f64 (-.f64 (/.f64 x -1/2) (-.f64 (*.f64 (pow.f64 x 3) 1/12) x)) -2)
(/.f64 (neg.f64 (.f64 -2 (+.f64 x (.f64 (pow.f64 x 3) 1/12)))) 4)
(/.f64 (neg.f64 (-.f64 (/.f64 x -1/2) (-.f64 (*.f64 (pow.f64 x 3) 1/12) x))) 2)
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) (/.f64 x -1/2)) 4)
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 x 4))) (.f64 x 4)) 8)
(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 x 3) 1/6) (+.f64 x x)) (neg.f64 (.f64 x 4))) 4)
(/.f64 (-.f64 (+.f64 x x) (-.f64 x (*.f64 (pow.f64 x 3) 1/12))) 2)
(/.f64 (-.f64 (.f64 x 4) (-.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 1/6))) 4)
(/.f64 (-.f64 (+.f64 x x) (neg.f64 (*.f64 (pow.f64 x 3) 1/6))) 4)
(/.f64 (-.f64 (neg.f64 x) (-.f64 (/.f64 x -1/2) (*.f64 (pow.f64 x 3) 1/12))) 2)
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 x 4))) (+.f64 (+.f64 x x) (+.f64 (.f64 (pow.f64 x 3) 1/6) (*.f64 x 4)))) 4)
(/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/6)) (-.f64 (*.f64 (pow.f64 x 3) 1/6) (+.f64 x x))) 4)
(/.f64 (-.f64 (+.f64 x (+.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/12)))) (+.f64 x x)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 x x) (+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 x 4))) (*.f64 x 4)) 4)
(/.f64 (+.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4) (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4)) 16)
(pow.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) 1)
(neg.f64 (-.f64 (.f64 x -1/2) (.f64 1/24 (pow.f64 x 3))))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (*.f64 1/24 (pow.f64 x 3)) (neg.f64 x))
(-.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 x 3) -1/24) (-.f64 (*.f64 1/24 (pow.f64 x 3)) x)))
(-.f64 (+.f64 x (*.f64 1/24 (pow.f64 x 3))) 0)
(-.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) (+.f64 (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) -2) (/.f64 (+.f64 x (*.f64 1/24 (pow.f64 x 3))) 2)))
(-.f64 (.f64 x 1/2) (-.f64 (.f64 x -1/2) (*.f64 1/24 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (*.f64 x -1/2))
(-.f64 0 (-.f64 (*.f64 (pow.f64 x 3) -1/24) x))
(-.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/12))) (+.f64 x (.f64 1/24 (pow.f64 x 3))))
(-.f64 (+.f64 x x) (+.f64 x (*.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 (pow.f64 x 3) 1/12) (-.f64 (.f64 1/24 (pow.f64 x 3)) x))
(-.f64 (.f64 (pow.f64 x 3) 1/6) (+.f64 (-.f64 (.f64 1/24 (pow.f64 x 3)) x) (*.f64 (pow.f64 x 3) 1/12)))
(-.f64 (.f64 x 4) (+.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/24)) (+.f64 x x)))
(-.f64 (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) 2) (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) -2))
(-.f64 (/.f64 (.f64 1/24 (pow.f64 x 3)) 2) (-.f64 (neg.f64 x) (/.f64 (.f64 1/24 (pow.f64 x 3)) 2)))
(-.f64 (+.f64 x (/.f64 (.f64 1/24 (pow.f64 x 3)) 2)) (/.f64 (.f64 1/24 (pow.f64 x 3)) -2))
(-.f64 (-.f64 -1 (-.f64 (*.f64 (pow.f64 x 3) -1/24) x)) -1)
(-.f64 (-.f64 x (-.f64 (/.f64 x -1/2) (-.f64 (.f64 (pow.f64 x 3) 1/12) x))) (+.f64 x (.f64 1/24 (pow.f64 x 3))))
(-.f64 (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3/2))) (+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 3/2))))
(-.f64 (+.f64 (+.f64 (/.f64 x -4) (+.f64 x (.f64 1/24 (pow.f64 x 3)))) (+.f64 (/.f64 x -4) (+.f64 x (.f64 1/24 (pow.f64 x 3))))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)))
(-.f64 (+.f64 (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x))) (+.f64 -1 (-.f64 -1 (-.f64 (*.f64 (pow.f64 x 3) -1/24) x))))
(-.f64 (+.f64 (-.f64 -1 (.f64 (pow.f64 x 3) -1/24)) (-.f64 -1 (.f64 (pow.f64 x 3) -1/24))) (+.f64 (-.f64 -1 x) (-.f64 -1 (*.f64 (pow.f64 x 3) -1/24))))
(-.f64 (+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 -1 (*.f64 (pow.f64 x 3) -1/24))) -2)
(-.f64 (+.f64 (-.f64 -1 (*.f64 (pow.f64 x 3) -1/24)) (-.f64 -1 (neg.f64 x))) -2)
(-.f64 (+.f64 (-.f64 -1 (.f64 x -1/2)) (-.f64 -1 (-.f64 (.f64 x -1/2) (*.f64 1/24 (pow.f64 x 3))))) -2)
(-.f64 (+.f64 (-.f64 -1 (-.f64 (.f64 x -1/2) (.f64 1/24 (pow.f64 x 3)))) (-.f64 -1 (*.f64 x -1/2))) -2)
(-.f64 (+.f64 (-.f64 -1 (.f64 1/24 (pow.f64 x 3))) (-.f64 -1 (neg.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12))))) -2)
(-.f64 (+.f64 (-.f64 -1 (neg.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)))) (-.f64 -1 (.f64 1/24 (pow.f64 x 3)))) -2)
(.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) 1)
(.f64 1/2 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/12))))
(.f64 1 (+.f64 x (.f64 1/24 (pow.f64 x 3))))
(.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x))
(.f64 -1 (-.f64 (-.f64 (.f64 x -1/2) (.f64 1/24 (pow.f64 x 3))) (.f64 x 1/2)))
(.f64 2 (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) 2))
(.f64 2 (.f64 (+.f64 x (*.f64 1/24 (pow.f64 x 3))) 1/2))
(.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/12))) 1/2)
(.f64 -2 (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) -2))
(.f64 1/4 (+.f64 (.f64 (pow.f64 x 3) 1/6) (*.f64 x 4)))
(.f64 1/4 (+.f64 (+.f64 x x) (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 1/6))))
(.f64 1/4 (+.f64 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 1/6)) (+.f64 x x)))
(.f64 (-.f64 (.f64 (pow.f64 x 3) -1/24) x) -1)
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/6) (*.f64 x 4)) 1/4)
(.f64 1/8 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 x 4))))
(.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 x 4))) 1/8)
(.f64 (.f64 (+.f64 x (*.f64 1/24 (pow.f64 x 3))) 1/2) 2)
(.f64 (-.f64 (-.f64 (.f64 x -1/2) (.f64 1/24 (pow.f64 x 3))) (.f64 x 1/2)) -1)
(.f64 (+.f64 (+.f64 x x) (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 1/6))) 1/4)
(.f64 (+.f64 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 1/6)) (+.f64 x x)) 1/4)
(/.f64 (+.f64 x (*.f64 1/24 (pow.f64 x 3))) 1)
(/.f64 (+.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 2)
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/24) x) -1)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 x 4)) 4)
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/6) (*.f64 x 4))) 8)
(/.f64 (-.f64 (-.f64 (.f64 x -1/2) (.f64 1/24 (pow.f64 x 3))) (*.f64 x 1/2)) -1)
(/.f64 (-.f64 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 1/6)) (/.f64 x -1/2)) 4)
(/.f64 (-.f64 (.f64 x 4) (neg.f64 (.f64 (pow.f64 x 3) 1/6))) 4)
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/6) (neg.f64 (.f64 x 4))) 4)
(/.f64 (-.f64 x (-.f64 (/.f64 x -1/2) (-.f64 (*.f64 (pow.f64 x 3) 1/12) x))) 2)
(/.f64 (-.f64 (+.f64 x x) (.f64 -2 (+.f64 x (.f64 (pow.f64 x 3) 1/12)))) 4)
(/.f64 (+.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 x 4))) (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 x 4)))) 16)
(pow.f64 (+.f64 x (*.f64 1/24 (pow.f64 x 3))) 1)
(neg.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/24) x))
(neg.f64 (-.f64 (-.f64 (.f64 x -1/2) (.f64 1/24 (pow.f64 x 3))) (*.f64 x 1/2)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
x
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(+.f64 x (+.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 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) (.f64 x -1/2))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.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)) 0)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 0 (+.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 -1 (-.f64 1 (-.f64 (.f64 x -1/2) (.f64 1/24 (pow.f64 x 3)))))
(+.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)) x)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 x -1/2) (+.f64 x (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (-.f64 x (-.f64 (neg.f64 (.f64 (pow.f64 x 3) 1/12)) (.f64 x 1/2))) (-.f64 (*.f64 (pow.f64 x 3) -1/24) x))
(+.f64 (-.f64 (.f64 1/2 x) (-.f64 (neg.f64 (.f64 (pow.f64 x 3) 1/12)) x)) (-.f64 (*.f64 (pow.f64 x 3) -1/24) x))
(+.f64 (-.f64 x (-.f64 (neg.f64 (.f64 1/2 x)) (.f64 (pow.f64 x 3) 1/12))) (-.f64 (*.f64 (pow.f64 x 3) -1/24) x))
(+.f64 0 (-.f64 (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) 1/12)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (-.f64 (.f64 (pow.f64 x 3) -1/24) x) (-.f64 x (-.f64 (neg.f64 (.f64 (pow.f64 x 3) 1/12)) (*.f64 x 1/2))))
(+.f64 (-.f64 (.f64 1/2 x) (-.f64 (neg.f64 (.f64 (pow.f64 x 3) 1/12)) x)) (-.f64 (*.f64 (pow.f64 x 3) -1/24) x))
(+.f64 (-.f64 x (-.f64 (neg.f64 (.f64 1/2 x)) (.f64 (pow.f64 x 3) 1/12))) (-.f64 (*.f64 (pow.f64 x 3) -1/24) x))
(+.f64 0 (-.f64 (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) 1/12)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4) (/.f64 (+.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 1/24 (pow.f64 x 3))) 2) (/.f64 (.f64 1/24 (pow.f64 x 3)) 2))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (/.f64 (.f64 1/24 (pow.f64 x 3)) 2) (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) 2))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (+.f64 x (/.f64 (.f64 1/24 (pow.f64 x 3)) 2)) (/.f64 (-.f64 (.f64 1/24 (pow.f64 x 3)) x) 2))
(+.f64 x (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/24 (pow.f64 x 3)) x)) 2))
(+.f64 (/.f64 x -4) (+.f64 (/.f64 x -4) (+.f64 x (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (/.f64 x -4) (neg.f64 (-.f64 (/.f64 x 4) (+.f64 x (*.f64 1/24 (pow.f64 x 3))))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (+.f64 (/.f64 x -4) (+.f64 x (*.f64 1/24 (pow.f64 x 3)))) (/.f64 x -4))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) 4) (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (/.f64 (+.f64 x (*.f64 1/24 (pow.f64 x 3))) 2)) 2))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 8) (/.f64 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 3/2) 4))
(/.f64 (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 3)) 8)
(/.f64 (+.f64 (-.f64 x (.f64 (pow.f64 x 3) -1/12)) (.f64 3 (-.f64 x (*.f64 (pow.f64 x 3) -1/12)))) 8)
(+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 8) (/.f64 (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) 4)) 2))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (/.f64 (-.f64 (.f64 1/24 (pow.f64 x 3)) x) 2) (+.f64 x (/.f64 (.f64 1/24 (pow.f64 x 3)) 2)))
(+.f64 (+.f64 x (/.f64 (.f64 1/24 (pow.f64 x 3)) 2)) (/.f64 (-.f64 (.f64 1/24 (pow.f64 x 3)) x) 2))
(+.f64 x (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/24 (pow.f64 x 3)) x)) 2))
(+.f64 (-.f64 -1 (.f64 x -1/2)) (-.f64 1 (.f64 (pow.f64 x 3) -1/24)))
(+.f64 (-.f64 -1 (.f64 x -1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) 1))
(+.f64 (-.f64 1 (.f64 (pow.f64 x 3) -1/24)) (-.f64 -1 (.f64 x -1/2)))
(+.f64 (-.f64 -1 (.f64 x -1/2)) (-.f64 1 (.f64 (pow.f64 x 3) -1/24)))
(+.f64 (-.f64 -1 (.f64 x -1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) 1))
(+.f64 (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) (-.f64 1 (.f64 x 1/2)))
(+.f64 (-.f64 x (-.f64 (.f64 (pow.f64 x 3) -1/24) -1)) (-.f64 1 (.f64 1/2 x)))
(+.f64 (-.f64 x (+.f64 (.f64 (pow.f64 x 3) -1/24) 1)) (-.f64 1 (.f64 1/2 x)))
(+.f64 (+.f64 (-.f64 x (.f64 (pow.f64 x 3) -1/24)) -1) (-.f64 1 (.f64 1/2 x)))
(+.f64 (-.f64 1 (.f64 x 1/2)) (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)))
(+.f64 (-.f64 x (-.f64 (.f64 (pow.f64 x 3) -1/24) -1)) (-.f64 1 (.f64 1/2 x)))
(+.f64 (-.f64 x (+.f64 (.f64 (pow.f64 x 3) -1/24) 1)) (-.f64 1 (.f64 1/2 x)))
(+.f64 (+.f64 (-.f64 x (.f64 (pow.f64 x 3) -1/24)) -1) (-.f64 1 (.f64 1/2 x)))
(+.f64 (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24))) (-.f64 1 (neg.f64 x)))
(+.f64 (-.f64 -1 (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))) (-.f64 1 (neg.f64 x)))
(+.f64 (-.f64 -1 (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))) (+.f64 x 1))
(+.f64 (-.f64 x (.f64 (pow.f64 x 3) -1/24)) (neg.f64 (.f64 1/2 x)))
(+.f64 (-.f64 1 (neg.f64 x)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24))))
(+.f64 (-.f64 -1 (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))) (-.f64 1 (neg.f64 x)))
(+.f64 (-.f64 -1 (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))) (+.f64 x 1))
(+.f64 (-.f64 x (.f64 (pow.f64 x 3) -1/24)) (neg.f64 (.f64 1/2 x)))
(+.f64 (-.f64 1 (.f64 x -1/2)) (-.f64 -1 (.f64 (pow.f64 x 3) -1/24)))
(+.f64 (-.f64 1 (.f64 x -1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) -1))
(+.f64 (-.f64 -1 (.f64 (pow.f64 x 3) -1/24)) (-.f64 1 (.f64 x -1/2)))
(+.f64 (-.f64 1 (.f64 x -1/2)) (-.f64 -1 (.f64 (pow.f64 x 3) -1/24)))
(+.f64 (-.f64 1 (.f64 x -1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) -1))
(+.f64 (-.f64 -1 (.f64 x 1/2)) (-.f64 1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)))
(+.f64 (-.f64 -1 (.f64 1/2 x)) (-.f64 x (-.f64 (.f64 (pow.f64 x 3) -1/24) 1)))
(+.f64 (-.f64 -1 (.f64 1/2 x)) (-.f64 x (+.f64 (.f64 (pow.f64 x 3) -1/24) -1)))
(+.f64 (-.f64 -1 (.f64 1/2 x)) (+.f64 (-.f64 x (.f64 (pow.f64 x 3) -1/24)) 1))
(+.f64 (-.f64 1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) (-.f64 -1 (.f64 x 1/2)))
(+.f64 (-.f64 -1 (.f64 1/2 x)) (-.f64 x (-.f64 (.f64 (pow.f64 x 3) -1/24) 1)))
(+.f64 (-.f64 -1 (.f64 1/2 x)) (-.f64 x (+.f64 (.f64 (pow.f64 x 3) -1/24) -1)))
(+.f64 (-.f64 -1 (.f64 1/2 x)) (+.f64 (-.f64 x (.f64 (pow.f64 x 3) -1/24)) 1))
(+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24))))
(+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))))
(+.f64 (+.f64 x -1) (-.f64 1 (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))))
(+.f64 (-.f64 1 (.f64 1/2 x)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 x -1)))
(+.f64 (-.f64 1 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24))) (-.f64 -1 (neg.f64 x)))
(+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))))
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(+.f64 (/.f64 x -1/2) (-.f64 (.f64 x 4) (+.f64 x (.f64 (pow.f64 x 3) -1/24))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (-.f64 (.f64 x 4) x) (*.f64 x -2)))
(-.f64 (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) 2) (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) -2))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (/.f64 (.f64 1/24 (pow.f64 x 3)) 2) (-.f64 (neg.f64 x) (/.f64 (.f64 1/24 (pow.f64 x 3)) 2)))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (+.f64 x (/.f64 (.f64 1/24 (pow.f64 x 3)) 2)) (/.f64 (.f64 1/24 (pow.f64 x 3)) -2))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (-.f64 -1 (-.f64 (*.f64 (pow.f64 x 3) -1/24) x)) -1)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (-.f64 x (-.f64 (/.f64 x -1/2) (-.f64 (.f64 (pow.f64 x 3) 1/12) x))) (+.f64 x (.f64 1/24 (pow.f64 x 3))))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3/2))) (+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 3/2))))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (+.f64 (+.f64 (/.f64 x -4) (+.f64 x (.f64 1/24 (pow.f64 x 3)))) (+.f64 (/.f64 x -4) (+.f64 x (.f64 1/24 (pow.f64 x 3))))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)))
(+.f64 (-.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 x (/.f64 x -4))) (.f64 1/24 (pow.f64 x 3))) (-.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 x (/.f64 x -4))) (.f64 1/2 x)))
(-.f64 (+.f64 (/.f64 x -2) (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/12)))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(-.f64 (neg.f64 (.f64 1/2 x)) (+.f64 (neg.f64 x) (-.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 1/2 x))))
(-.f64 (+.f64 (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x))) (+.f64 -1 (-.f64 -1 (-.f64 (*.f64 (pow.f64 x 3) -1/24) x))))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (+.f64 (-.f64 -1 (.f64 (pow.f64 x 3) -1/24)) (-.f64 -1 (.f64 (pow.f64 x 3) -1/24))) (+.f64 (-.f64 -1 x) (-.f64 -1 (*.f64 (pow.f64 x 3) -1/24))))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 -1 (*.f64 (pow.f64 x 3) -1/24))) -2)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (+.f64 (-.f64 -1 (*.f64 (pow.f64 x 3) -1/24)) (-.f64 -1 (neg.f64 x))) -2)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (+.f64 (-.f64 -1 (.f64 x -1/2)) (-.f64 -1 (-.f64 (.f64 x -1/2) (*.f64 1/24 (pow.f64 x 3))))) -2)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (+.f64 (-.f64 -1 (-.f64 (.f64 x -1/2) (.f64 1/24 (pow.f64 x 3)))) (-.f64 -1 (*.f64 x -1/2))) -2)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (+.f64 (-.f64 -1 (.f64 1/24 (pow.f64 x 3))) (-.f64 -1 (neg.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12))))) -2)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (+.f64 (-.f64 -1 (neg.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)))) (-.f64 -1 (.f64 1/24 (pow.f64 x 3)))) -2)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) 1)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(.f64 1/2 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/12))))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(.f64 1 (+.f64 x (.f64 1/24 (pow.f64 x 3))))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(.f64 -1 (-.f64 (-.f64 (.f64 x -1/2) (.f64 1/24 (pow.f64 x 3))) (.f64 x 1/2)))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(.f64 2 (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) 2))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(.f64 2 (.f64 (+.f64 x (*.f64 1/24 (pow.f64 x 3))) 1/2))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/12))) 1/2)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(.f64 -2 (/.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) -2))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(.f64 1/4 (+.f64 (.f64 (pow.f64 x 3) 1/6) (*.f64 x 4)))
(.f64 1/4 (+.f64 (+.f64 x x) (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 1/6))))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(.f64 1/4 (+.f64 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 1/6)) (+.f64 x x)))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(.f64 (-.f64 (.f64 (pow.f64 x 3) -1/24) x) -1)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/6) (*.f64 x 4)) 1/4)
(.f64 1/4 (+.f64 (.f64 (pow.f64 x 3) 1/6) (*.f64 x 4)))
(.f64 1/8 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 x 4))))
(.f64 1/4 (+.f64 (.f64 (pow.f64 x 3) 1/6) (*.f64 x 4)))
(.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 x 4))) 1/8)
(.f64 1/4 (+.f64 (.f64 (pow.f64 x 3) 1/6) (*.f64 x 4)))
(.f64 (.f64 (+.f64 x (*.f64 1/24 (pow.f64 x 3))) 1/2) 2)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(.f64 (-.f64 (-.f64 (.f64 x -1/2) (.f64 1/24 (pow.f64 x 3))) (.f64 x 1/2)) -1)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(.f64 (+.f64 (+.f64 x x) (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 1/6))) 1/4)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(.f64 (+.f64 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 1/6)) (+.f64 x x)) 1/4)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(/.f64 (+.f64 x (*.f64 1/24 (pow.f64 x 3))) 1)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(/.f64 (+.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 2)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/24) x) -1)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 x 4)) 4)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (/.f64 (.f64 x 4) 4))
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/6) (*.f64 x 4))) 8)
(/.f64 (-.f64 (-.f64 (.f64 x -1/2) (.f64 1/24 (pow.f64 x 3))) (*.f64 x 1/2)) -1)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(/.f64 (-.f64 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 1/6)) (/.f64 x -1/2)) 4)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(/.f64 (-.f64 (.f64 x 4) (neg.f64 (.f64 (pow.f64 x 3) 1/6))) 4)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 x 4)) 4)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (/.f64 (.f64 x 4) 4))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/6) (neg.f64 (.f64 x 4))) 4)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 x 4)) 4)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (/.f64 (.f64 x 4) 4))
(/.f64 (-.f64 x (-.f64 (/.f64 x -1/2) (-.f64 (*.f64 (pow.f64 x 3) 1/12) x))) 2)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(/.f64 (-.f64 (+.f64 x x) (.f64 -2 (+.f64 x (.f64 (pow.f64 x 3) 1/12)))) 4)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(/.f64 (+.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 x 4))) (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 x 4)))) 16)
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/6) (*.f64 x 4))) 8)
(pow.f64 (+.f64 x (*.f64 1/24 (pow.f64 x 3))) 1)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(neg.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/24) x))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(neg.f64 (-.f64 (-.f64 (.f64 x -1/2) (.f64 1/24 (pow.f64 x 3))) (*.f64 x 1/2)))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))

localize4.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize63.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 1/2 (+.f64 -1/2 (cos.f64 x))) (sin.f64 x))
✓	0.2b	(+.f64 -1/2 (cos.f64 x))
✓	2.0b	(-.f64 1/2 (+.f64 -1/2 (cos.f64 x)))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite328.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2026×	`rational_best-4`
2026×	`rational_best-2`
2026×	`rational_best-3`
2026×	`rational_best-1`
424×	`rational_best-simplify-65`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	84	51
2	239	51
3	837	43
4	4803	43

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

Outputs

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

simplify465.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1262×	`rational_best-simplify-54`
966×	`rational_best-simplify-57`
896×	`rational_best-simplify-1`
746×	`rational_best-simplify-63`
712×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	418	4587
1	1214	4509
2	3722	4423

Stop Event

1×	node limit

Counts

213 → 232

Calls

Call 1

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

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

localize61.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 3/4 (sin.f64 x))
✓	0.2b	(-.f64 1/4 (cos.f64 x))
✓	0.2b	(/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x))
✓	2.2b	(+.f64 (/.f64 3/4 (sin.f64 x)) (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series26.0ms (0%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	(/.f64 3/4 (sin.f64 x))
1.0ms	x	@	inf	(/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x))
1.0ms	x	@	-inf	(/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x))
1.0ms	x	@	-inf	(/.f64 3/4 (sin.f64 x))
0.0ms	x	@	0	(/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x))

rewrite551.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`rational_best-simplify-3`
744×	`rational_best-simplify-80`
656×	`rational_best-simplify-1`
532×	`rational_best-simplify-79`
464×	`rational_best-simplify-73`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	70
1	92	70
2	254	64
3	861	64
4	4809	64

Stop Event

1×	node limit

Counts

4 → 254

Calls

Call 1

Inputs
(+.f64 (/.f64 3/4 (sin.f64 x)) (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x))
(-.f64 1/4 (cos.f64 x))
(/.f64 3/4 (sin.f64 x))

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

simplify714.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1012×	`rational_best-simplify-57`
866×	`rational_best-simplify-63`
786×	`rational_best-simplify-108`
774×	`rational_best-simplify-51`
702×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	538	7348
1	1454	7120
2	5497	7024

Stop Event

1×	node limit

Counts

278 → 343

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)))
(/.f64 -3/4 x)
(-.f64 (.f64 3/8 x) (.f64 3/4 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 13/480 (pow.f64 x 3)) (.f64 3/8 x)) (*.f64 3/4 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 53/20160 (pow.f64 x 5)) (+.f64 (.f64 13/480 (pow.f64 x 3)) (.f64 3/8 x))) (.f64 3/4 (/.f64 1 x)))
-3/4
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 3/4)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4))) 3/4)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) 3/4)
(/.f64 3/4 x)
(+.f64 (.f64 1/8 x) (.f64 3/4 (/.f64 1 x)))
(+.f64 (.f64 1/8 x) (+.f64 (.f64 7/480 (pow.f64 x 3)) (*.f64 3/4 (/.f64 1 x))))
(+.f64 (.f64 1/8 x) (+.f64 (.f64 7/480 (pow.f64 x 3)) (+.f64 (.f64 3/4 (/.f64 1 x)) (.f64 31/20160 (pow.f64 x 5)))))
(-.f64 (/.f64 3/4 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1/4) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) (/.f64 -3/4 (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 0 (-.f64 (/.f64 (+.f64 (cos.f64 x) -1/4) (sin.f64 x)) (/.f64 3/4 (sin.f64 x))))
(-.f64 0 (-.f64 (/.f64 -3/4 (sin.f64 x)) (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x))))
(-.f64 0 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 3/4 (sin.f64 x)) (/.f64 1/4 (sin.f64 x)))))
(-.f64 0 (+.f64 (/.f64 -3/4 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1/4) (sin.f64 x))))
(-.f64 0 (/.f64 (+.f64 (+.f64 (cos.f64 x) -1/4) -3/4) (sin.f64 x)))
(-.f64 (/.f64 1/4 (sin.f64 x)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 -3/4 (sin.f64 x))))
(-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -3/4) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 (/.f64 (+.f64 3/4 (-.f64 1 (cos.f64 x))) (sin.f64 x)) 2)))
(-.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (+.f64 (/.f64 -3/4 (sin.f64 x)) (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) -2))))
(-.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (-.f64 (/.f64 -3/4 (sin.f64 x)) (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) 2))))
(-.f64 (*.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) 2) (+.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) (/.f64 -3/4 (sin.f64 x))))
(-.f64 (/.f64 3/2 (sin.f64 x)) (+.f64 (/.f64 3/4 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1/4) (sin.f64 x))))
(-.f64 (/.f64 (/.f64 (+.f64 3/4 (-.f64 1 (cos.f64 x))) (sin.f64 x)) 2) (/.f64 (-.f64 1/4 (cos.f64 x)) (*.f64 (sin.f64 x) -2)))
(-.f64 (+.f64 (/.f64 3/4 (sin.f64 x)) (/.f64 1/4 (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 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2))
(-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -2)))
(-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)))
(-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (-.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (*.f64 (sin.f64 x) -2)) (/.f64 3/8 (sin.f64 x))))
(-.f64 (/.f64 3/8 (sin.f64 x)) (-.f64 (/.f64 (+.f64 (cos.f64 x) -1/4) (sin.f64 x)) (/.f64 3/8 (sin.f64 x))))
(-.f64 (+.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) (/.f64 3/8 (sin.f64 x))) (neg.f64 (/.f64 3/8 (sin.f64 x))))
(-.f64 (-.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 -3/4 (sin.f64 x))) (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) -2)))
(-.f64 (-.f64 (/.f64 3/8 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1/4) (sin.f64 x))) (neg.f64 (/.f64 3/8 (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 3/8 (sin.f64 x))) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 3/8 (sin.f64 x))))
(.f64 1/4 (/.f64 (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 1/4 (sin.f64 x)) (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (/.f64 1/4 (sin.f64 x)) (+.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 4) 3))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 2 (.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/4 (sin.f64 x))))
(.f64 2 (.f64 (/.f64 1/4 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x)))
(.f64 4 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/4 (sin.f64 x))))
(*.f64 (+.f64 (+.f64 (cos.f64 x) -1/4) -3/4) (-.f64 0 (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) 1/4)
(.f64 (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1/4 (sin.f64 x)))
(.f64 (+.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 4) 3) (/.f64 1/4 (sin.f64 x)))
(.f64 (+.f64 (+.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 4) 3) (+.f64 (*.f64 (-.f64 1/4 (cos.f64 x)) 4) 3)) (/.f64 1/8 (sin.f64 x)))
(*.f64 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(.f64 (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (-.f64 (+.f64 (cos.f64 x) -1) 0) (-.f64 0 (/.f64 1 (sin.f64 x))))
(.f64 (-.f64 (neg.f64 (/.f64 1/4 (sin.f64 x))) 0) (-.f64 0 (+.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 4) 3)))
(*.f64 (-.f64 (+.f64 (+.f64 (+.f64 (cos.f64 x) -1/4) -3/4) (neg.f64 (-.f64 1 (cos.f64 x)))) 0) (-.f64 0 (/.f64 1/2 (sin.f64 x))))
(.f64 (-.f64 (+.f64 -3/2 (.f64 (-.f64 1/4 (cos.f64 x)) -2)) 0) (-.f64 0 (/.f64 1/2 (sin.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (+.f64 (cos.f64 x) -1/4) -3/4) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) 4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (sin.f64 x) 4))
(/.f64 (+.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 4) 3) (.f64 (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)) 2) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) 2))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (sin.f64 x) -2))
(/.f64 (+.f64 (/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 (.f64 (sin.f64 x) 2) 4))
(/.f64 (+.f64 (+.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 4) 3) (+.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 4) 3)) (.f64 (.f64 (sin.f64 x) 2) 4))
(/.f64 (+.f64 3/2 (-.f64 1/2 (.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (/.f64 3 (sin.f64 x)) (/.f64 (*.f64 (-.f64 1/4 (cos.f64 x)) 4) (sin.f64 x))) 4)
(/.f64 (+.f64 6 (.f64 2 (.f64 (-.f64 1/4 (cos.f64 x)) 4))) (.f64 (.f64 (sin.f64 x) 2) 4))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) 2)) (/.f64 1/2 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (sin.f64 x)) (/.f64 2 (sin.f64 x)))
(/.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (.f64 (sin.f64 x) 2)) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (sin.f64 x)) (/.f64 4 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) 2)) (/.f64 2 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 1/4 (cos.f64 x)) 4) 3) (sin.f64 x)) 4)
(/.f64 (.f64 (+.f64 (+.f64 (cos.f64 x) -1/4) -3/4) 2) (.f64 (sin.f64 x) -2))
(/.f64 (*.f64 (+.f64 (+.f64 (cos.f64 x) -1/4) -3/4) (/.f64 1 (sin.f64 x))) -1)
(/.f64 (*.f64 (+.f64 (+.f64 (cos.f64 x) -1/4) -3/4) (/.f64 1/2 (sin.f64 x))) -1/2)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 (*.f64 (sin.f64 x) 2) 4))
(/.f64 (-.f64 0 (+.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 4) 3)) (-.f64 (.f64 (sin.f64 x) -4) 0))
(/.f64 (-.f64 (+.f64 (+.f64 (+.f64 (cos.f64 x) -1/4) -3/4) (neg.f64 (-.f64 1 (cos.f64 x)))) 0) (*.f64 (sin.f64 x) -2))
(/.f64 (-.f64 (+.f64 -3/2 (.f64 (-.f64 1/4 (cos.f64 x)) -2)) 0) (.f64 (sin.f64 x) -2))
(/.f64 (-.f64 0 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 (*.f64 (sin.f64 x) -4) 0))
(/.f64 (.f64 (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (sin.f64 x))) 4)
(/.f64 (.f64 (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))) 4)
(/.f64 (.f64 (/.f64 1 (sin.f64 x)) (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 2))) 4)
(/.f64 (.f64 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 2))) 4)
(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 (+.f64 (cos.f64 x) -1/4) (sin.f64 x)) (/.f64 3/4 (sin.f64 x))))
(neg.f64 (-.f64 (/.f64 -3/4 (sin.f64 x)) (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x))))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 3/4 (sin.f64 x)) (/.f64 1/4 (sin.f64 x)))))
(neg.f64 (+.f64 (/.f64 -3/4 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1/4) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) 0)
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(+.f64 1 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1/4) (sin.f64 x))))
(+.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1/4) (sin.f64 x))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 1/4 (sin.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)) (+.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 1/8 (sin.f64 x))))
(+.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -2)) (-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 2) (sin.f64 x))))
(+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 1/2) (.f64 (sin.f64 x) 2)))
(+.f64 (+.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 1/8 (sin.f64 x))) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)))
(+.f64 (-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 2) (sin.f64 x))) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -2)))
(+.f64 (/.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) 2)) 2) (/.f64 (.f64 3/2 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x))) 2))
(+.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) 4)) (/.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 3) (*.f64 (sin.f64 x) 4)))
(+.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 1/2) (.f64 (sin.f64 x) 2)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)))
(+.f64 (/.f64 (.f64 3/2 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x))) 2) (/.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) 2)) 2))
(+.f64 (/.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 3) (.f64 (sin.f64 x) 4)) (/.f64 (-.f64 1/4 (cos.f64 x)) (*.f64 (sin.f64 x) 4)))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1/4) (sin.f64 x))) 1)
(+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1/4) (sin.f64 x))) -1)
(-.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) -2))))
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1/4) (sin.f64 x)))
(-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) -2)))
(-.f64 (*.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) 2) (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 -1 (*.f64 (sin.f64 x) 4)))
(-.f64 (/.f64 1/8 (sin.f64 x)) (+.f64 (/.f64 (/.f64 (cos.f64 x) 2) (sin.f64 x)) (/.f64 (-.f64 1/4 (cos.f64 x)) (*.f64 (sin.f64 x) -2))))
(-.f64 (/.f64 1/8 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1/4)) (*.f64 (sin.f64 x) 2)))
(-.f64 (-.f64 (/.f64 1/8 (sin.f64 x)) (/.f64 (-.f64 1/4 (cos.f64 x)) (*.f64 (sin.f64 x) -2))) (/.f64 (/.f64 (cos.f64 x) 2) (sin.f64 x)))
(-.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 1/2) (*.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (cos.f64 x) 2) (sin.f64 x)))
(-.f64 (/.f64 (.f64 3/2 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x))) 2) (/.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) -2)) 2))
(-.f64 (/.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 3) (.f64 (sin.f64 x) 4)) (/.f64 (+.f64 (cos.f64 x) -1/4) (*.f64 (sin.f64 x) 4)))
(-.f64 (/.f64 (/.f64 (+.f64 (-.f64 1/4 (cos.f64 x)) 1/2) (.f64 (sin.f64 x) 2)) 2) (/.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) 2) (-.f64 1/4 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) 2))
(-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1/4) (sin.f64 x))) -1)
(.f64 (sin.f64 x) (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(.f64 1/4 (/.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 4) (sin.f64 x)))
(*.f64 (-.f64 1/4 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)))
(.f64 (/.f64 1/4 (sin.f64 x)) (.f64 (-.f64 1/4 (cos.f64 x)) 4))
(.f64 (/.f64 1/4 (sin.f64 x)) (-.f64 (.f64 2 (.f64 (-.f64 1/4 (cos.f64 x)) 4)) (.f64 (-.f64 1/4 (cos.f64 x)) 4)))
(.f64 (.f64 (+.f64 (cos.f64 x) -1/4) -2) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (+.f64 (cos.f64 x) -1/4) -2) (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1/4) -2) (*.f64 4 (/.f64 1/8 (sin.f64 x))))
(.f64 2 (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1/4 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1/4) (/.f64 -1 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1/4) (-.f64 0 (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) 2)) 2)
(.f64 1/2 (.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) 2))
(.f64 1/2 (-.f64 (/.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 4) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) 2)))
(.f64 (.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) 2) 1/2)
(.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 4) (/.f64 1/4 (sin.f64 x)))
(.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 4) (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/4 (sin.f64 x))))
(.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 4) (*.f64 2 (/.f64 1/8 (sin.f64 x))))
(.f64 4 (.f64 (*.f64 (+.f64 (cos.f64 x) -1/4) -2) (/.f64 1/8 (sin.f64 x))))
(.f64 4 (.f64 (-.f64 1/4 (cos.f64 x)) (/.f64 1/4 (sin.f64 x))))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1/4) (sin.f64 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1/4) (sin.f64 x)) -1)
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1/4 (cos.f64 x)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (-.f64 (.f64 (+.f64 (cos.f64 x) -1/4) -2) (-.f64 1/4 (cos.f64 x))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (+.f64 (cos.f64 x) -1/4) -2))
(.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1/2 (.f64 (cos.f64 x) 2)))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (sin.f64 x) (*.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) 2)))
(.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 4) (*.f64 (+.f64 (cos.f64 x) -1/4) -2)))
(.f64 (/.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 4) (sin.f64 x)) 1/4)
(.f64 (.f64 2 (*.f64 (-.f64 1/4 (cos.f64 x)) 4)) (/.f64 1/8 (sin.f64 x)))
(.f64 (.f64 2 (.f64 (-.f64 1/4 (cos.f64 x)) 4)) (/.f64 1 (.f64 (*.f64 (sin.f64 x) 2) 4)))
(.f64 (.f64 2 (.f64 (-.f64 1/4 (cos.f64 x)) 4)) (-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 1 (.f64 (*.f64 (sin.f64 x) 2) 4))))
(.f64 (.f64 2 (.f64 (-.f64 1/4 (cos.f64 x)) 4)) (/.f64 (/.f64 1 (.f64 (*.f64 (sin.f64 x) 2) 4)) 1))
(.f64 (.f64 2 (.f64 (-.f64 1/4 (cos.f64 x)) 4)) (.f64 1/2 (/.f64 1/4 (sin.f64 x))))
(.f64 (-.f64 1/2 (.f64 (cos.f64 x) 2)) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (-.f64 1/4 (cos.f64 x)) -2) (-.f64 0 (/.f64 1/2 (sin.f64 x))))
(.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) 2))
(.f64 (.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (/.f64 2 (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) 1))
(.f64 (.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x))) (.f64 1 (.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(.f64 -2 (/.f64 (-.f64 1/4 (cos.f64 x)) (.f64 (sin.f64 x) -2)))
(.f64 -4 (.f64 (+.f64 (cos.f64 x) -1/4) (/.f64 1/4 (sin.f64 x))))
(.f64 (/.f64 1 (.f64 (.f64 (sin.f64 x) 2) 4)) (.f64 2 (*.f64 (-.f64 1/4 (cos.f64 x)) 4)))
(.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x))))
(*.f64 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (-.f64 1/4 (cos.f64 x)))
(.f64 (/.f64 (/.f64 1/4 (sin.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (*.f64 (-.f64 1/4 (cos.f64 x)) 4)))
(.f64 (.f64 (sin.f64 x) (-.f64 1/4 (cos.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (-.f64 1/4 (cos.f64 x))) (/.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) 1))
(.f64 (.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) -1/4) -2)) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) -1/4) -2)) (/.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) 1))
(.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (*.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) 2)) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (*.f64 (-.f64 1/4 (cos.f64 x)) 4)) (/.f64 (/.f64 1/4 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (*.f64 (-.f64 1/4 (cos.f64 x)) 4)) (/.f64 (/.f64 (/.f64 1/4 (sin.f64 x)) (sin.f64 x)) 1))
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (-.f64 1/4 (cos.f64 x))))
(.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) -1/4) -2)))
(*.f64 (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (-.f64 1/8 (/.f64 (cos.f64 x) 2)))
(.f64 (-.f64 (-.f64 (.f64 (cos.f64 x) 2) 1/2) 0) (-.f64 0 (/.f64 1/2 (sin.f64 x))))
(.f64 (-.f64 (neg.f64 (/.f64 1/4 (sin.f64 x))) 0) (neg.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 4)))
(.f64 (-.f64 (neg.f64 (/.f64 1/4 (sin.f64 x))) 0) (-.f64 (.f64 (-.f64 1/4 (cos.f64 x)) -4) 0))
(.f64 (-.f64 (neg.f64 (/.f64 1/4 (sin.f64 x))) 0) (-.f64 (+.f64 (.f64 (-.f64 1/4 (cos.f64 x)) -2) (*.f64 (-.f64 1/4 (cos.f64 x)) -2)) 0))
(.f64 (-.f64 (.f64 (-.f64 1/4 (cos.f64 x)) -4) 0) (neg.f64 (/.f64 1/4 (sin.f64 x))))
(.f64 (-.f64 (.f64 (-.f64 1/4 (cos.f64 x)) -4) 0) (-.f64 (neg.f64 (/.f64 1/4 (sin.f64 x))) 0))
(.f64 (-.f64 (+.f64 (.f64 (-.f64 1/4 (cos.f64 x)) -2) (*.f64 (-.f64 1/4 (cos.f64 x)) -2)) 0) (neg.f64 (/.f64 1/4 (sin.f64 x))))
(.f64 (-.f64 (+.f64 (.f64 (-.f64 1/4 (cos.f64 x)) -2) (*.f64 (-.f64 1/4 (cos.f64 x)) -2)) 0) (-.f64 (neg.f64 (/.f64 1/4 (sin.f64 x))) 0))
(pow.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1/4) (sin.f64 x)))
(+.f64 1/4 (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 1/4 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1/4 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1/4)
(+.f64 (-.f64 1/8 (/.f64 (cos.f64 x) 2)) (-.f64 1/8 (/.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) 2) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 1/2) 2))
(+.f64 (neg.f64 (/.f64 (cos.f64 x) 2)) (-.f64 1/4 (/.f64 (cos.f64 x) 2)))
(+.f64 (-.f64 1/4 (/.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 1/2) 2) (/.f64 (neg.f64 (cos.f64 x)) 2))
(+.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) 4) (/.f64 (*.f64 (-.f64 1/4 (cos.f64 x)) 3) 4))
(+.f64 (/.f64 (*.f64 (-.f64 1/4 (cos.f64 x)) 3) 4) (/.f64 (-.f64 1/4 (cos.f64 x)) 4))
(.f64 1/4 (.f64 (-.f64 1/4 (cos.f64 x)) 4))
(*.f64 (-.f64 1/4 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1/4 (cos.f64 x)))
(.f64 (.f64 (+.f64 (cos.f64 x) -1/4) -2) 1/2)
(*.f64 (+.f64 (cos.f64 x) -1/4) -1)
(.f64 1/2 (.f64 (+.f64 (cos.f64 x) -1/4) -2))
(.f64 (.f64 (-.f64 1/4 (cos.f64 x)) 4) 1/4)
(*.f64 -1 (+.f64 (cos.f64 x) -1/4))
(*.f64 -2 (/.f64 (+.f64 (cos.f64 x) -1/4) 2))
(/.f64 (-.f64 1/4 (cos.f64 x)) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1/4) -2) 2)
(/.f64 (+.f64 (cos.f64 x) -1/4) -1)
(/.f64 (*.f64 (-.f64 1/4 (cos.f64 x)) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 1/4 (cos.f64 x)) 4)) 8)
(pow.f64 (-.f64 1/4 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1/4))
(+.f64 (/.f64 3/4 (sin.f64 x)) 0)
(+.f64 0 (/.f64 3/4 (sin.f64 x)))
(+.f64 (/.f64 3/8 (sin.f64 x)) (/.f64 3/8 (sin.f64 x)))
(-.f64 (/.f64 3/4 (sin.f64 x)) 0)
(-.f64 0 (/.f64 -3/4 (sin.f64 x)))
(-.f64 (/.f64 3/8 (sin.f64 x)) (/.f64 (/.f64 -3/4 (sin.f64 x)) 2))
(*.f64 3/4 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 3/4 (sin.f64 x)) 1)
(*.f64 1/4 (/.f64 3 (sin.f64 x)))
(*.f64 1 (/.f64 3/4 (sin.f64 x)))
(*.f64 (/.f64 1/4 (sin.f64 x)) 3)
(*.f64 3/2 (/.f64 1/2 (sin.f64 x)))
(*.f64 (/.f64 -3/4 (sin.f64 x)) -1)
(*.f64 1/2 (/.f64 3/2 (sin.f64 x)))
(*.f64 (/.f64 3/2 (sin.f64 x)) 1/2)
(*.f64 3 (/.f64 1/4 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) 3/4)
(*.f64 (/.f64 1/2 (sin.f64 x)) 3/2)
(*.f64 (/.f64 3 (sin.f64 x)) 1/4)
(.f64 6 (/.f64 1 (.f64 (*.f64 (sin.f64 x) 2) 4)))
(.f64 (/.f64 1 (.f64 (*.f64 (sin.f64 x) 2) 4)) 6)
(pow.f64 (/.f64 3/4 (sin.f64 x)) 1)
(neg.f64 (/.f64 -3/4 (sin.f64 x)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
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(neg.f64 (+.f64 (cos.f64 x) -1/4))
(*.f64 -2 (/.f64 (+.f64 (cos.f64 x) -1/4) 2))
(+.f64 1/4 (neg.f64 (cos.f64 x)))
(neg.f64 (+.f64 (cos.f64 x) -1/4))
(/.f64 (-.f64 1/4 (cos.f64 x)) 1)
(-.f64 1/4 (cos.f64 x))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1/4) -2) 2)
(/.f64 (+.f64 (cos.f64 x) -1/4) -1)
(+.f64 1/4 (neg.f64 (cos.f64 x)))
(neg.f64 (+.f64 (cos.f64 x) -1/4))
(/.f64 (*.f64 (-.f64 1/4 (cos.f64 x)) 4) 4)
(-.f64 1/4 (cos.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 1/4 (cos.f64 x)) 4)) 8)
(-.f64 1/4 (cos.f64 x))
(pow.f64 (-.f64 1/4 (cos.f64 x)) 1)
(-.f64 1/4 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1/4))
(+.f64 1/4 (neg.f64 (cos.f64 x)))
(+.f64 (/.f64 3/4 (sin.f64 x)) 0)
(/.f64 3/4 (sin.f64 x))
(+.f64 0 (/.f64 3/4 (sin.f64 x)))
(/.f64 3/4 (sin.f64 x))
(+.f64 (/.f64 3/8 (sin.f64 x)) (/.f64 3/8 (sin.f64 x)))
(/.f64 3/4 (sin.f64 x))
(-.f64 (/.f64 3/4 (sin.f64 x)) 0)
(/.f64 3/4 (sin.f64 x))
(-.f64 0 (/.f64 -3/4 (sin.f64 x)))
(/.f64 3/4 (sin.f64 x))
(-.f64 (/.f64 3/8 (sin.f64 x)) (/.f64 (/.f64 -3/4 (sin.f64 x)) 2))
(/.f64 3/4 (sin.f64 x))
(*.f64 3/4 (/.f64 1 (sin.f64 x)))
(/.f64 3/4 (sin.f64 x))
(*.f64 (/.f64 3/4 (sin.f64 x)) 1)
(/.f64 3/4 (sin.f64 x))
(*.f64 1/4 (/.f64 3 (sin.f64 x)))
(/.f64 3/4 (sin.f64 x))
(*.f64 1 (/.f64 3/4 (sin.f64 x)))
(/.f64 3/4 (sin.f64 x))
(*.f64 (/.f64 1/4 (sin.f64 x)) 3)
(/.f64 3/4 (sin.f64 x))
(*.f64 3/2 (/.f64 1/2 (sin.f64 x)))
(/.f64 3/4 (sin.f64 x))
(*.f64 (/.f64 -3/4 (sin.f64 x)) -1)
(/.f64 3/4 (sin.f64 x))
(*.f64 1/2 (/.f64 3/2 (sin.f64 x)))
(/.f64 3/4 (sin.f64 x))
(*.f64 (/.f64 3/2 (sin.f64 x)) 1/2)
(/.f64 3/4 (sin.f64 x))
(*.f64 3 (/.f64 1/4 (sin.f64 x)))
(/.f64 3/4 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) 3/4)
(/.f64 3/4 (sin.f64 x))
(*.f64 (/.f64 1/2 (sin.f64 x)) 3/2)
(/.f64 3/4 (sin.f64 x))
(*.f64 (/.f64 3 (sin.f64 x)) 1/4)
(/.f64 3/4 (sin.f64 x))
(.f64 6 (/.f64 1 (.f64 (*.f64 (sin.f64 x) 2) 4)))
(/.f64 3/4 (sin.f64 x))
(.f64 (/.f64 1 (.f64 (*.f64 (sin.f64 x) 2) 4)) 6)
(/.f64 3/4 (sin.f64 x))
(pow.f64 (/.f64 3/4 (sin.f64 x)) 1)
(/.f64 3/4 (sin.f64 x))
(neg.f64 (/.f64 -3/4 (sin.f64 x)))
(/.f64 3/4 (sin.f64 x))

localize59.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 -1 (sin.f64 x)))
✓	0.2b	(*.f64 (sin.f64 x) (sin.f64 x))
	2.2b	(+.f64 (cos.f64 x) -1)
✓	14.7b	(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) (sin.f64 x)))

Compiler

Compiled 45 to 18 computations (60% saved)

series43.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	x	@	-inf	(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) (sin.f64 x)))
1.0ms	x	@	inf	(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) (sin.f64 x)))
1.0ms	x	@	-inf	(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 -1 (sin.f64 x)))
1.0ms	x	@	inf	(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 -1 (sin.f64 x)))
1.0ms	x	@	0	(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) (sin.f64 x)))

rewrite387.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1086×	`rational_best-2`
1086×	`rational_best-3`
1086×	`rational_best-1`
1084×	`rational_best-4`
1076×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	93
1	112	89
2	478	83
3	2663	67

Stop Event

1×	node limit

Counts

3 → 250

Calls

Call 1

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

Outputs

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simplify989.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1246×	`rational_best-simplify-108`
914×	`rational_best-simplify-55`
666×	`rational_best-simplify-3`
632×	`rational_best-simplify-53`
626×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	581	11036
1	1700	10146
2	7756	10020

Stop Event

1×	node limit

Counts

286 → 395

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 -1/8 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -17/5760 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))) 1/2)
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
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(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))

Outputs
-1/2
(-.f64 (*.f64 -1/8 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -17/5760 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))) 1/2)
(-.f64 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/48 (pow.f64 x 4)) (*.f64 -17/5760 (pow.f64 x 6)))) 1/2)
(-.f64 (+.f64 (.f64 -1/48 (pow.f64 x 4)) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 -17/5760 (pow.f64 x 6)))) 1/2)
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
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(.f64 (/.f64 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) 2) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 2)))
(.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))) (sin.f64 x)))
(.f64 (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))
(.f64 -1/2 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 1/2 (/.f64 1 (/.f64 1 (sin.f64 x))))))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (/.f64 1 (/.f64 1 (sin.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (/.f64 -2 (sin.f64 x))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 (+.f64 x x)))) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) 2))
(.f64 1 (/.f64 (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))) (-.f64 1 (cos.f64 (+.f64 x x)))))
(.f64 2 (.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x))))))
(/.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))) (-.f64 1 (cos.f64 (+.f64 x x))))
(*.f64 (/.f64 1 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (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 (.f64 1 (/.f64 -2 (/.f64 1 (sin.f64 x))))) (-.f64 (*.f64 (cos.f64 x) 2) 2))
(/.f64 (+.f64 -1 (+.f64 -1 (.f64 2 (cos.f64 x)))) (.f64 1 (/.f64 -2 (/.f64 1 (sin.f64 x)))))
(/.f64 (+.f64 -2 (*.f64 2 (cos.f64 x))) (/.f64 -2 (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 -2 (sin.f64 x))) (.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 -2 (sin.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 -4 (sin.f64 x))) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) (sin.f64 x))) 4))
(.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 -2 (sin.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (sin.f64 x))))
(.f64 (+.f64 (-.f64 (-.f64 1 (cos.f64 x)) (/.f64 0 (sin.f64 x))) (-.f64 (-.f64 1 (cos.f64 x)) (/.f64 0 (sin.f64 x)))) (/.f64 1 (.f64 (sin.f64 x) 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 2)) (/.f64 1 (.f64 (sin.f64 x) -2)))
(.f64 (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (/.f64 1 (*.f64 -2 (/.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 2 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (-.f64 -1/2 (/.f64 0 (sin.f64 x)))))
(+.f64 (/.f64 0 (sin.f64 x)) (/.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -2))
(.f64 (.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) 1/4)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) 2) 2) (/.f64 1 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))
(.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))) (sin.f64 x)))
(.f64 (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 2 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) (sin.f64 x))) 4)) (/.f64 1 (*.f64 2 (/.f64 -4 (sin.f64 x)))))
(.f64 (.f64 4 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) (sin.f64 x))) 2)) (/.f64 1/2 (/.f64 -4 (sin.f64 x))))
(.f64 1 (+.f64 (.f64 (+.f64 (cos.f64 x) -1) (-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (sin.f64 x)))) 0))
(+.f64 0 (*.f64 (+.f64 (cos.f64 x) -1) (-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (sin.f64 x)))))
(.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (.f64 (sin.f64 x) -4)))
(.f64 1 (/.f64 (.f64 (sin.f64 x) (/.f64 (.f64 4 (+.f64 (cos.f64 x) -1)) (sin.f64 x))) (.f64 (sin.f64 x) -4)))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 4 (/.f64 0 (sin.f64 x)))) (/.f64 -1/4 (sin.f64 x)))
(.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (/.f64 -1 (sin.f64 x))) (/.f64 1 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 -1 (sin.f64 x)))))
(.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (sin.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 -1 (sin.f64 x)))))
(.f64 1 (-.f64 (.f64 (+.f64 (cos.f64 x) -1) (-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (sin.f64 x)))) (/.f64 0 (/.f64 -2 (sin.f64 x)))))
(-.f64 (*.f64 (+.f64 (cos.f64 x) -1) (-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (sin.f64 x)))) (/.f64 0 (/.f64 -2 (sin.f64 x))))
(.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))) (/.f64 1 (/.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x)))))))
(.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))) (/.f64 -1 (*.f64 (sin.f64 x) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))))))
(.f64 1 (-.f64 (.f64 (+.f64 (cos.f64 x) -1) (-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (sin.f64 x)))) (/.f64 0 (/.f64 2 (/.f64 1 (sin.f64 x))))))
(-.f64 (*.f64 (+.f64 (cos.f64 x) -1) (-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (sin.f64 x)))) (/.f64 0 (/.f64 2 (/.f64 1 (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))) (/.f64 1 (/.f64 -1 (/.f64 1 (/.f64 1 (sin.f64 x))))))
(*.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x)))) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x)))))))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 2 (/.f64 -1 (sin.f64 x))) (/.f64 2 (/.f64 -2 (sin.f64 x))))))
(*.f64 (/.f64 2 (/.f64 -2 (sin.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (/.f64 -2 (sin.f64 x)))))
(.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))) (/.f64 1 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x)))))))
(.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))) (/.f64 -1 (*.f64 (sin.f64 x) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))))))
(.f64 1 (-.f64 (.f64 (+.f64 (cos.f64 x) -1) (-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (sin.f64 x)))) (/.f64 0 (/.f64 2 (/.f64 1 (sin.f64 x))))))
(-.f64 (*.f64 (+.f64 (cos.f64 x) -1) (-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (sin.f64 x)))) (/.f64 0 (/.f64 2 (/.f64 1 (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))) (/.f64 1 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x)))))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (/.f64 1 (/.f64 1 (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (/.f64 2 (/.f64 1 (sin.f64 x)))))
(.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))) (/.f64 1 (/.f64 (/.f64 -2 (sin.f64 x)) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x)))))))
(.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))) (/.f64 -1 (*.f64 (sin.f64 x) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))))))
(.f64 1 (-.f64 (.f64 (+.f64 (cos.f64 x) -1) (-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (sin.f64 x)))) (/.f64 0 (/.f64 2 (/.f64 1 (sin.f64 x))))))
(-.f64 (*.f64 (+.f64 (cos.f64 x) -1) (-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (sin.f64 x)))) (/.f64 0 (/.f64 2 (/.f64 1 (sin.f64 x)))))
(*.f64 (/.f64 (-.f64 (-.f64 1 (cos.f64 x)) (/.f64 0 (sin.f64 x))) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))) (/.f64 1 (/.f64 (sin.f64 x) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x)))))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (/.f64 1 (/.f64 1 (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (/.f64 2 (/.f64 1 (sin.f64 x)))))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) 2) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x)))))))
(.f64 1 (/.f64 (.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))) (/.f64 2 (/.f64 1 (/.f64 1 (sin.f64 x))))) (/.f64 (-.f64 (cos.f64 (+.f64 x x)) 1) (/.f64 1 (/.f64 1 (sin.f64 x))))))
(.f64 1 (-.f64 (/.f64 (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))) (-.f64 1 (cos.f64 (+.f64 x x)))) (/.f64 0 (/.f64 2 (/.f64 1 (sin.f64 x))))))
(-.f64 (/.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))) (-.f64 1 (cos.f64 (+.f64 x x)))) (/.f64 0 (/.f64 2 (/.f64 1 (sin.f64 x)))))
(.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))) (/.f64 1 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x)))))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (/.f64 1 (/.f64 1 (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (/.f64 2 (/.f64 1 (sin.f64 x)))))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))) (/.f64 1 (/.f64 2 (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x)))))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (/.f64 1 (/.f64 1 (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (/.f64 2 (/.f64 1 (sin.f64 x)))))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) (sin.f64 x))) 4) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))) (/.f64 1 (/.f64 (/.f64 -4 (sin.f64 x)) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x)))))))
(.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))) (/.f64 -1 (*.f64 (sin.f64 x) (neg.f64 (/.f64 1 (/.f64 1 (sin.f64 x))))))))
(.f64 1 (-.f64 (.f64 (+.f64 (cos.f64 x) -1) (-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (sin.f64 x)))) (/.f64 0 (/.f64 2 (/.f64 1 (sin.f64 x))))))
(-.f64 (*.f64 (+.f64 (cos.f64 x) -1) (-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (sin.f64 x)))) (/.f64 0 (/.f64 2 (/.f64 1 (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 -1 (sin.f64 x))) (/.f64 1 (/.f64 2 (/.f64 -2 (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (/.f64 -2 (sin.f64 x))))
(-.f64 (/.f64 0 (/.f64 -2 (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 (-.f64 1 (cos.f64 x)) (/.f64 0 (sin.f64 x))) (/.f64 -1 (sin.f64 x))) (/.f64 1 (/.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (/.f64 -2 (sin.f64 x))))
(-.f64 (/.f64 0 (/.f64 -2 (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) 2) (/.f64 -1 (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 -1 (sin.f64 x)))))
(.f64 1 (/.f64 (/.f64 (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))) (/.f64 -1 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 -1 (sin.f64 x)))))
(.f64 1 (-.f64 (/.f64 (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))) (-.f64 1 (cos.f64 (+.f64 x x)))) (/.f64 0 (/.f64 -2 (sin.f64 x)))))
(-.f64 (/.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))) (-.f64 1 (cos.f64 (+.f64 x x)))) (/.f64 0 (/.f64 -2 (sin.f64 x))))
(.f64 (/.f64 (.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (neg.f64 (sin.f64 x))) (/.f64 1 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (sin.f64 x)))))
(.f64 1 (/.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (sin.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (sin.f64 x)))))
(.f64 1 (/.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) -1) (/.f64 0 (sin.f64 x))) (/.f64 (sin.f64 x) (neg.f64 (/.f64 -1 (sin.f64 x))))))
(/.f64 (+.f64 (/.f64 0 (sin.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) -1)) (/.f64 (sin.f64 x) (neg.f64 (/.f64 -1 (sin.f64 x)))))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (/.f64 -1 (sin.f64 x))) (/.f64 1 (/.f64 2 (/.f64 -1 (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (/.f64 -2 (sin.f64 x))))
(-.f64 (/.f64 0 (/.f64 -2 (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) (sin.f64 x))) 4) (/.f64 -1 (sin.f64 x))) (/.f64 1 (/.f64 (.f64 (sin.f64 x) -4) (neg.f64 (sin.f64 x)))))
(.f64 1 (/.f64 (/.f64 (.f64 4 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 -1 (sin.f64 x))) (.f64 (neg.f64 (sin.f64 x)) (/.f64 -4 (sin.f64 x)))))
(.f64 1 (/.f64 (.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)) 8) (*.f64 (/.f64 -2 (sin.f64 x)) (+.f64 4 (/.f64 0 (sin.f64 x))))))
(/.f64 (.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)) 8) (.f64 (/.f64 -2 (sin.f64 x)) (+.f64 4 (/.f64 0 (sin.f64 x)))))
(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 (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))

eval1.8s (2.7%)

Compiler: Compiled 23400 to 14519 computations (38% saved)

prune1.4s (2.1%)

Pruning

42 alts after pruning (34 fresh and 8 done)

	Pruned	Kept	Total
New	1260	18	1278
Fresh	7	16	23
Picked	1	0	1
Done	0	8	8
Total	1268	42	1310

Error

0.1b

Counts

1310 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	32.3b	(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 x) (+.f64 (-.f64 (cos.f64 (neg.f64 x)) -2) (/.f64 (cos.f64 x) -1/2))) 2) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 -1 (sin.f64 x)))
	31.0b	(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
	32.1b	(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (-.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) 2) 1/2))) (/.f64 -1 (sin.f64 x)))
	32.1b	(/.f64 (-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 -1 (sin.f64 x)))
	31.1b	(/.f64 (-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) -4)))) (sin.f64 x))
	31.0b	(/.f64 (-.f64 (/.f64 (cos.f64 x) -4) (-.f64 -1 (*.f64 (cos.f64 x) -3/4))) (sin.f64 x))
	31.1b	(/.f64 (-.f64 (+.f64 2 (neg.f64 (cos.f64 x))) (cos.f64 x)) (*.f64 (sin.f64 x) 2))
	31.0b	(/.f64 (-.f64 (+.f64 1/2 (-.f64 1 (cos.f64 x))) 1/2) (sin.f64 x))
✓	30.9b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	30.9b	(/.f64 (-.f64 1/2 (+.f64 -1/2 (cos.f64 x))) (sin.f64 x))
	31.0b	(/.f64 (+.f64 (-.f64 (+.f64 2 (.f64 (cos.f64 x) -1/2)) (cos.f64 x)) (-.f64 (.f64 (cos.f64 x) -1/2) (-.f64 -2 (.f64 (cos.f64 x) -2)))) (.f64 4 (sin.f64 x)))
	32.8b	(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (-.f64 1 (cos.f64 (+.f64 x x))))) (/.f64 -1 (sin.f64 x)))
	32.8b	(/.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))) (-.f64 1 (cos.f64 (+.f64 x x))))
▶	25.2b	(/.f64 -1/2 (/.f64 -1 (sin.f64 x)))
	31.0b	(-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (-.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (*.f64 (sin.f64 x) -2)) (/.f64 3/8 (sin.f64 x))))
	31.0b	(-.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 x) 3/4)) (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 4) (sin.f64 x)))
▶	31.0b	(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (/.f64 -1/2 (sin.f64 x)))
	31.1b	(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
	56.3b	(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 x))
	31.0b	(-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -3/4) (sin.f64 x)))
	31.8b	(-.f64 (/.f64 1/4 (sin.f64 x)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 -3/4 (sin.f64 x))))
	60.9b	(-.f64 (-.f64 (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) -1) (.f64 x 1/2))
	60.4b	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) 1) -1)
▶	59.9b	(-.f64 (-.f64 (*.f64 1/2 x) 1) -1)
	31.1b	(-.f64 (-.f64 -1 (/.f64 (/.f64 (-.f64 (cos.f64 x) (+.f64 (-.f64 (cos.f64 (neg.f64 x)) -2) (/.f64 (cos.f64 x) -1/2))) 2) (sin.f64 x))) -1)
✓	31.0b	(-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
▶	31.2b	(-.f64 (+.f64 (/.f64 x -1/2) (-.f64 (.f64 x 4) (+.f64 x (.f64 (pow.f64 x 3) -1/24)))) (*.f64 x 1/2))
	31.0b	(-.f64 (+.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (/.f64 x 2)) x) x)
✓	30.6b	(-.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) (.f64 x 1/2))
✓	61.2b	(-.f64 -1 -1)
	30.9b	(+.f64 (/.f64 x -4) (+.f64 (/.f64 x -4) (+.f64 x (*.f64 1/24 (pow.f64 x 3)))))
✓	31.0b	(+.f64 (/.f64 3/4 (sin.f64 x)) (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)))
	56.1b	(+.f64 (/.f64 3/4 (sin.f64 x)) (/.f64 -3/4 x))
	31.0b	(+.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 3/2) (sin.f64 x)))
	30.9b	(+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
	60.4b	(+.f64 (-.f64 1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) (-.f64 -1 (.f64 x 1/2)))
	31.0b	(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -2) 2)
	30.6b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
✓	30.6b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
▶	32.3b	(.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))
	31.0b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
✓	30.3b	(*.f64 1/2 x)

Compiler

Compiled 1171 to 853 computations (27.2% saved)

localize53.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 -1 (sin.f64 x))
1.0ms	x	@	-inf	(/.f64 -1 (sin.f64 x))
0.0ms	x	@	inf	(/.f64 -1/2 (/.f64 -1 (sin.f64 x)))
0.0ms	x	@	-inf	(/.f64 -1/2 (/.f64 -1 (sin.f64 x)))
0.0ms	x	@	0	(/.f64 -1/2 (/.f64 -1 (sin.f64 x)))

rewrite271.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`rational_best-simplify-51`
730×	`rational_best-simplify-67`
720×	`rational_best-simplify-57`
680×	`rational_best-4`
680×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	69	28
2	175	28
3	466	28
4	1737	28

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -4 (/.f64 -8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) (/.f64 -2 (/.f64 -8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2) (+.f64 (/.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2) (/.f64 -2 (/.f64 -8 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2) (/.f64 (/.f64 -6 (/.f64 -8 (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 4) (/.f64 (/.f64 -3 (/.f64 -2 (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2) 1/2) (/.f64 (/.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) (/.f64 2 (/.f64 -8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 2 (/.f64 -8 (sin.f64 x)))) (/.f64 2 (/.f64 -8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -6 (/.f64 -8 (sin.f64 x))) 2) (/.f64 1 (/.f64 -8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -3 (/.f64 -2 (sin.f64 x))) 4) (/.f64 (/.f64 -1/2 (/.f64 1 (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 -1/2 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1/2 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 -1/2 (/.f64 1/2 (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -4 (/.f64 -8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 2 (/.f64 -8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 -1/2 (/.f64 1 (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 -2 (/.f64 -8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (/.f64 -8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (*.f64 (/.f64 2 (/.f64 -8 (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 -1 (sin.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 -1 (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 1/2 (sin.f64 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 -8 (sin.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 1 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8 (/.f64 1 (/.f64 -16 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8 (/.f64 1/2 (/.f64 -8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -16 (/.f64 -8 (sin.f64 x))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 -1 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 -1/2 (/.f64 1/2 (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 -16 (/.f64 -8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (/.f64 1 (/.f64 1/2 (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -8 (sin.f64 x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -16 (/.f64 -4 (sin.f64 x))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1/2 (/.f64 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 (/.f64 -1 (sin.f64 x)) (/.f64 0 (cos.f64 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 (/.f64 -1 (sin.f64 x)) 4) (/.f64 (/.f64 -3 (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -3 (sin.f64 x)) 4) (/.f64 (/.f64 -1 (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) (+.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) (/.f64 -1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) (/.f64 (/.f64 -3/2 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (cos.f64 0)) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 -1 (sin.f64 x)) 4) (cos.f64 0)) (/.f64 (/.f64 (/.f64 -3 (sin.f64 x)) 4) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -3/2 (sin.f64 x)) 2) (/.f64 (/.f64 -1/2 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) 1/2) (/.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -2 (sin.f64 x)) 8) (/.f64 (/.f64 -6 (sin.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -3 (sin.f64 x)) 8) (/.f64 (/.f64 -5 (sin.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (/.f64 0 (sin.f64 x)) 2))))) (#(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 -1/2 (sin.f64 x)) (/.f64 (/.f64 4 (sin.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -1 (sin.f64 x)) 4) (/.f64 (/.f64 3 (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -3 (sin.f64 x)) 4) (/.f64 1/2 (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) (/.f64 (/.f64 3/2 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) (/.f64 1/2 (sin.f64 x))) (/.f64 1/2 (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (/.f64 -3 (sin.f64 x)) 4) (cos.f64 0)) (/.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 2)) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -3/2 (sin.f64 x)) 2) (/.f64 1/2 (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) 1/2) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -6 (sin.f64 x)) 8) (/.f64 (/.f64 2 (sin.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -5 (sin.f64 x)) 8) (/.f64 (/.f64 3 (sin.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sin.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sin.f64 x)) (/.f64 1/2 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 1 (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 -1 (*.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 -1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 -1 (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 -1 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1/2 (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (*.f64 (/.f64 1/2 (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 -1 (*.f64 (sin.f64 x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (sin.f64 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 -1 (*.f64 (sin.f64 x) 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 1/2 (*.f64 (sin.f64 x) 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8 (/.f64 1/2 (*.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8 (*.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8 (/.f64 -1 (neg.f64 (*.f64 (*.f64 (sin.f64 x) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -8 (sin.f64 x)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 -1 (*.f64 (*.f64 (sin.f64 x) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sin.f64 x)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 0)) (/.f64 -1 (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 -1 (cos.f64 0)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (cos.f64 0)) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -16 (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -16 (/.f64 1/2 (*.f64 (*.f64 (sin.f64 x) 2) 4)))))) (#(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)))))))

simplify383.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1010×	`rational_best-simplify-55`
958×	`rational_best-simplify-89`
850×	`rational_best-simplify-64`
678×	`rational_best-simplify-67`
656×	`rational_best-simplify-65`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	2043
1	667	1915
2	1888	1899

Stop Event

1×	node limit

Counts

123 → 134

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/12 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 -1/10080 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(*.f64 1/2 (sin.f64 x))
(*.f64 1/2 (sin.f64 x))
(*.f64 1/2 (sin.f64 x))
(*.f64 1/2 (sin.f64 x))
(*.f64 1/2 (sin.f64 x))
(*.f64 1/2 (sin.f64 x))
(*.f64 1/2 (sin.f64 x))
(*.f64 1/2 (sin.f64 x))
(/.f64 -1 x)
(-.f64 (*.f64 -1/6 x) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 x 3)) (.f64 -1/6 x)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -31/15120 (pow.f64 x 5)) (+.f64 (.f64 -7/360 (pow.f64 x 3)) (*.f64 -1/6 x))) (/.f64 1 x))
(+.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 0)
(+.f64 0 (/.f64 -4 (/.f64 -8 (sin.f64 x))))
(+.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) (/.f64 -2 (/.f64 -8 (sin.f64 x))))
(+.f64 (/.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2) (+.f64 (/.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2) (/.f64 -2 (/.f64 -8 (sin.f64 x)))))
(+.f64 (/.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2) (/.f64 (/.f64 -6 (/.f64 -8 (sin.f64 x))) 2))
(+.f64 (/.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 4) (/.f64 (/.f64 -3 (/.f64 -2 (sin.f64 x))) 4))
(+.f64 (/.f64 (/.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2) 1/2) (/.f64 (/.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2) 1/2))
(-.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 0)
(-.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) (/.f64 2 (/.f64 -8 (sin.f64 x))))
(-.f64 (neg.f64 (/.f64 2 (/.f64 -8 (sin.f64 x)))) (/.f64 2 (/.f64 -8 (sin.f64 x))))
(-.f64 (/.f64 (/.f64 -6 (/.f64 -8 (sin.f64 x))) 2) (/.f64 1 (/.f64 -8 (sin.f64 x))))
(-.f64 (/.f64 (/.f64 -3 (/.f64 -2 (sin.f64 x))) 4) (/.f64 (/.f64 -1/2 (/.f64 1 (sin.f64 x))) 4))
(*.f64 -1/2 (/.f64 -1/2 (/.f64 1/2 (sin.f64 x))))
(*.f64 -1 (/.f64 -1/2 (/.f64 1 (sin.f64 x))))
(.f64 -1 (.f64 (/.f64 -1/2 (/.f64 1/2 (sin.f64 x))) 1/2))
(*.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 1)
(*.f64 1 (/.f64 -4 (/.f64 -8 (sin.f64 x))))
(*.f64 -2 (/.f64 2 (/.f64 -8 (sin.f64 x))))
(.f64 -2 (.f64 (/.f64 -1/2 (/.f64 1 (sin.f64 x))) 1/2))
(*.f64 2 (/.f64 -2 (/.f64 -8 (sin.f64 x))))
(.f64 2 (.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 1/2))
(*.f64 -4 (/.f64 1 (/.f64 -8 (sin.f64 x))))
(.f64 -4 (.f64 (/.f64 2 (/.f64 -8 (sin.f64 x))) 1/2))
(*.f64 (/.f64 -1 (/.f64 -1 (sin.f64 x))) 1/2)
(*.f64 1/2 (/.f64 -1 (/.f64 -1 (sin.f64 x))))
(*.f64 (/.f64 -1/2 (/.f64 1/2 (sin.f64 x))) -1/2)
(*.f64 (/.f64 2 (/.f64 -8 (sin.f64 x))) -2)
(*.f64 (/.f64 -1/2 (/.f64 1 (sin.f64 x))) -1)
(*.f64 -8 (/.f64 1 (/.f64 -16 (sin.f64 x))))
(*.f64 -8 (/.f64 1/2 (/.f64 -8 (sin.f64 x))))
(*.f64 (/.f64 -16 (/.f64 -8 (sin.f64 x))) 1/4)
(*.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2)
(*.f64 -1/4 (/.f64 -1 (/.f64 1/2 (sin.f64 x))))
(.f64 -1/4 (/.f64 -1/2 (/.f64 1/2 (.f64 (sin.f64 x) 2))))
(*.f64 1/4 (/.f64 -16 (/.f64 -8 (sin.f64 x))))
(.f64 1/8 (/.f64 1 (/.f64 1/2 (.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 1 (/.f64 -8 (sin.f64 x))) -4)
(*.f64 (/.f64 -16 (/.f64 -4 (sin.f64 x))) 1/8)
(pow.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 1)
(neg.f64 (/.f64 -1/2 (/.f64 1 (sin.f64 x))))
(+.f64 (/.f64 -1 (sin.f64 x)) 0)
(+.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (cos.f64 0)))
(+.f64 0 (/.f64 -1 (sin.f64 x)))
(+.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 -1/2 (sin.f64 x)))
(+.f64 (/.f64 (/.f64 -1 (sin.f64 x)) 4) (/.f64 (/.f64 -3 (sin.f64 x)) 4))
(+.f64 (/.f64 (/.f64 -3 (sin.f64 x)) 4) (/.f64 (/.f64 -1 (sin.f64 x)) 4))
(+.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) (+.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) (/.f64 -1/2 (sin.f64 x))))
(+.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) (/.f64 (/.f64 -3/2 (sin.f64 x)) 2))
(+.f64 (/.f64 0 (cos.f64 0)) (/.f64 -1 (sin.f64 x)))
(+.f64 (/.f64 (/.f64 (/.f64 -1 (sin.f64 x)) 4) (cos.f64 0)) (/.f64 (/.f64 (/.f64 -3 (sin.f64 x)) 4) (cos.f64 0)))
(+.f64 (/.f64 (/.f64 -3/2 (sin.f64 x)) 2) (/.f64 (/.f64 -1/2 (sin.f64 x)) 2))
(+.f64 (/.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) 1/2) (/.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) 1/2))
(+.f64 (/.f64 (/.f64 -2 (sin.f64 x)) 8) (/.f64 (/.f64 -6 (sin.f64 x)) 8))
(+.f64 (/.f64 (/.f64 -3 (sin.f64 x)) 8) (/.f64 (/.f64 -5 (sin.f64 x)) 8))
(-.f64 (/.f64 -1 (sin.f64 x)) 0)
(-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (cos.f64 0)))
(-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (/.f64 0 (sin.f64 x)) 2))
(-.f64 0 (/.f64 1 (sin.f64 x)))
(-.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))
(-.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (/.f64 4 (sin.f64 x)) 8))
(-.f64 (/.f64 (/.f64 -1 (sin.f64 x)) 4) (/.f64 (/.f64 3 (sin.f64 x)) 4))
(-.f64 (/.f64 (/.f64 -3 (sin.f64 x)) 4) (/.f64 1/2 (*.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) (/.f64 (/.f64 3/2 (sin.f64 x)) 2))
(-.f64 (-.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) (/.f64 1/2 (sin.f64 x))) (/.f64 1/2 (*.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 (/.f64 (/.f64 -3 (sin.f64 x)) 4) (cos.f64 0)) (/.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 2)) (cos.f64 0)))
(-.f64 (/.f64 (/.f64 -3/2 (sin.f64 x)) 2) (/.f64 1/2 (*.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) 1/2) (/.f64 1/2 (sin.f64 x)))
(-.f64 (/.f64 (/.f64 -6 (sin.f64 x)) 8) (/.f64 (/.f64 2 (sin.f64 x)) 8))
(-.f64 (/.f64 (/.f64 -5 (sin.f64 x)) 8) (/.f64 (/.f64 3 (sin.f64 x)) 8))
(*.f64 -1 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 -1 (sin.f64 x)) 1)
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (cos.f64 0)))
(*.f64 1 (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 -2 (sin.f64 x)) 1/2)
(*.f64 (/.f64 -2 (sin.f64 x)) (/.f64 1/2 (cos.f64 0)))
(*.f64 -2 (/.f64 1/2 (sin.f64 x)))
(.f64 -2 (.f64 (/.f64 1 (sin.f64 x)) 1/2))
(.f64 -2 (/.f64 -1 (.f64 (sin.f64 x) -2)))
(*.f64 2 (/.f64 -1/2 (sin.f64 x)))
(.f64 2 (.f64 (/.f64 -1 (sin.f64 x)) 1/2))
(*.f64 (/.f64 1 (sin.f64 x)) -1)
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 -1 (cos.f64 0)))
(.f64 -4 (/.f64 1/2 (.f64 (sin.f64 x) 2)))
(.f64 -4 (.f64 (/.f64 1/2 (sin.f64 x)) 1/2))
(.f64 -4 (/.f64 -1 (.f64 (sin.f64 x) -4)))
(*.f64 (/.f64 -4 (sin.f64 x)) 1/4)
(.f64 4 (/.f64 -1 (.f64 (sin.f64 x) 4)))
(*.f64 1/2 (/.f64 -2 (sin.f64 x)))
(*.f64 (/.f64 1/2 (sin.f64 x)) -2)
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) 2)) -4)
(*.f64 (/.f64 2 (sin.f64 x)) -1/2)
(.f64 -8 (/.f64 1/2 (.f64 (sin.f64 x) 4)))
(.f64 -8 (.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 2)) 1/2))
(.f64 -8 (/.f64 -1 (neg.f64 (.f64 (*.f64 (sin.f64 x) 2) 4))))
(*.f64 (/.f64 -1/2 (sin.f64 x)) 2)
(*.f64 (/.f64 -8 (sin.f64 x)) 1/8)
(.f64 8 (/.f64 -1 (.f64 (*.f64 (sin.f64 x) 2) 4)))
(*.f64 (/.f64 4 (sin.f64 x)) -1/4)
(*.f64 (/.f64 1 (cos.f64 0)) (/.f64 -1 (sin.f64 x)))
(*.f64 1/4 (/.f64 -4 (sin.f64 x)))
(*.f64 (/.f64 -1 (cos.f64 0)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 -2 (cos.f64 0)) (/.f64 1/2 (sin.f64 x)))
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) 4)) -8)
(.f64 -16 (/.f64 1 (.f64 (*.f64 (sin.f64 x) 4) 4)))
(.f64 -16 (/.f64 1/2 (.f64 (*.f64 (sin.f64 x) 2) 4)))
(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 -1/12 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 -1/10080 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/2 x) (.f64 -1/10080 (pow.f64 x 7))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (.f64 -1/10080 (pow.f64 x 7))))
(+.f64 (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 -1/10080 (pow.f64 x 7))))
(*.f64 1/2 (sin.f64 x))
(*.f64 1/2 (sin.f64 x))
(*.f64 1/2 (sin.f64 x))
(*.f64 1/2 (sin.f64 x))
(*.f64 1/2 (sin.f64 x))
(*.f64 1/2 (sin.f64 x))
(*.f64 1/2 (sin.f64 x))
(*.f64 1/2 (sin.f64 x))
(/.f64 -1 x)
(-.f64 (*.f64 -1/6 x) (/.f64 1 x))
(-.f64 (*.f64 x -1/6) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 x 3)) (.f64 -1/6 x)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 x -1/6) (.f64 (pow.f64 x 3) -7/360)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -31/15120 (pow.f64 x 5)) (+.f64 (.f64 -7/360 (pow.f64 x 3)) (*.f64 -1/6 x))) (/.f64 1 x))
(-.f64 (+.f64 (+.f64 (.f64 x -1/6) (.f64 (pow.f64 x 3) -7/360)) (*.f64 (pow.f64 x 5) -31/15120)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 x -1/6) (+.f64 (.f64 (pow.f64 x 3) -7/360) (*.f64 (pow.f64 x 5) -31/15120))) (/.f64 1 x))
(+.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 0)
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(+.f64 0 (/.f64 -4 (/.f64 -8 (sin.f64 x))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(+.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) (/.f64 -2 (/.f64 -8 (sin.f64 x))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(+.f64 (/.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2) (+.f64 (/.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2) (/.f64 -2 (/.f64 -8 (sin.f64 x)))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(+.f64 (/.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2) (/.f64 (/.f64 -6 (/.f64 -8 (sin.f64 x))) 2))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(+.f64 (/.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 4) (/.f64 (/.f64 -3 (/.f64 -2 (sin.f64 x))) 4))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(+.f64 (/.f64 (/.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2) 1/2) (/.f64 (/.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2) 1/2))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(-.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 0)
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(-.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) (/.f64 2 (/.f64 -8 (sin.f64 x))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(-.f64 (neg.f64 (/.f64 2 (/.f64 -8 (sin.f64 x)))) (/.f64 2 (/.f64 -8 (sin.f64 x))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(-.f64 (/.f64 (/.f64 -6 (/.f64 -8 (sin.f64 x))) 2) (/.f64 1 (/.f64 -8 (sin.f64 x))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(-.f64 (/.f64 (/.f64 -3 (/.f64 -2 (sin.f64 x))) 4) (/.f64 (/.f64 -1/2 (/.f64 1 (sin.f64 x))) 4))
(-.f64 (/.f64 -3/4 (/.f64 -2 (sin.f64 x))) (/.f64 -1/8 (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 -6 (/.f64 -16 (sin.f64 x))) (/.f64 -1/4 (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 -4 (/.f64 -2 (sin.f64 x))) 4)
(*.f64 -1/2 (/.f64 -1/2 (/.f64 1/2 (sin.f64 x))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 -1 (/.f64 -1/2 (/.f64 1 (sin.f64 x))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(.f64 -1 (.f64 (/.f64 -1/2 (/.f64 1/2 (sin.f64 x))) 1/2))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 1)
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 1 (/.f64 -4 (/.f64 -8 (sin.f64 x))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 -2 (/.f64 2 (/.f64 -8 (sin.f64 x))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(.f64 -2 (.f64 (/.f64 -1/2 (/.f64 1 (sin.f64 x))) 1/2))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 2 (/.f64 -2 (/.f64 -8 (sin.f64 x))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(.f64 2 (.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 1/2))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 -4 (/.f64 1 (/.f64 -8 (sin.f64 x))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(.f64 -4 (.f64 (/.f64 2 (/.f64 -8 (sin.f64 x))) 1/2))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 (/.f64 -1 (/.f64 -1 (sin.f64 x))) 1/2)
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 1/2 (/.f64 -1 (/.f64 -1 (sin.f64 x))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 (/.f64 -1/2 (/.f64 1/2 (sin.f64 x))) -1/2)
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 (/.f64 2 (/.f64 -8 (sin.f64 x))) -2)
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 (/.f64 -1/2 (/.f64 1 (sin.f64 x))) -1)
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 -8 (/.f64 1 (/.f64 -16 (sin.f64 x))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 -8 (/.f64 1/2 (/.f64 -8 (sin.f64 x))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 (/.f64 -16 (/.f64 -8 (sin.f64 x))) 1/4)
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 (/.f64 -2 (/.f64 -8 (sin.f64 x))) 2)
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 -1/4 (/.f64 -1 (/.f64 1/2 (sin.f64 x))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(.f64 -1/4 (/.f64 -1/2 (/.f64 1/2 (.f64 (sin.f64 x) 2))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 1/4 (/.f64 -16 (/.f64 -8 (sin.f64 x))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(.f64 1/8 (/.f64 1 (/.f64 1/2 (.f64 (sin.f64 x) 2))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 -8 (sin.f64 x))) -4)
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(*.f64 (/.f64 -16 (/.f64 -4 (sin.f64 x))) 1/8)
(*.f64 1/8 (/.f64 -16 (/.f64 -4 (sin.f64 x))))
(*.f64 -16 (/.f64 1/8 (/.f64 -4 (sin.f64 x))))
(pow.f64 (/.f64 -4 (/.f64 -8 (sin.f64 x))) 1)
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(neg.f64 (/.f64 -1/2 (/.f64 1 (sin.f64 x))))
(/.f64 -4 (/.f64 -8 (sin.f64 x)))
(/.f64 -1 (/.f64 -2 (sin.f64 x)))
(+.f64 (/.f64 -1 (sin.f64 x)) 0)
(/.f64 -1 (sin.f64 x))
(+.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (cos.f64 0)))
(+.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 (/.f64 -1 (sin.f64 x)) 4) (/.f64 (/.f64 -3 (sin.f64 x)) 4))
(/.f64 -1 (sin.f64 x))
(+.f64 (/.f64 (/.f64 -3 (sin.f64 x)) 4) (/.f64 (/.f64 -1 (sin.f64 x)) 4))
(/.f64 -1 (sin.f64 x))
(+.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) (+.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) (/.f64 -1/2 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(+.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) (/.f64 (/.f64 -3/2 (sin.f64 x)) 2))
(/.f64 -1 (sin.f64 x))
(+.f64 (/.f64 0 (cos.f64 0)) (/.f64 -1 (sin.f64 x)))
(+.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (cos.f64 0)))
(+.f64 (/.f64 (/.f64 (/.f64 -1 (sin.f64 x)) 4) (cos.f64 0)) (/.f64 (/.f64 (/.f64 -3 (sin.f64 x)) 4) (cos.f64 0)))
(/.f64 (+.f64 (/.f64 -3/4 (sin.f64 x)) (/.f64 -1/4 (sin.f64 x))) (cos.f64 0))
(/.f64 -1 (*.f64 (cos.f64 0) (sin.f64 x)))
(/.f64 -1 (*.f64 (sin.f64 x) (cos.f64 0)))
(+.f64 (/.f64 (/.f64 -3/2 (sin.f64 x)) 2) (/.f64 (/.f64 -1/2 (sin.f64 x)) 2))
(/.f64 -1 (sin.f64 x))
(+.f64 (/.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) 1/2) (/.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) 1/2))
(/.f64 -1 (sin.f64 x))
(+.f64 (/.f64 (/.f64 -2 (sin.f64 x)) 8) (/.f64 (/.f64 -6 (sin.f64 x)) 8))
(/.f64 -1 (sin.f64 x))
(+.f64 (/.f64 (/.f64 -3 (sin.f64 x)) 8) (/.f64 (/.f64 -5 (sin.f64 x)) 8))
(/.f64 -1 (sin.f64 x))
(-.f64 (/.f64 -1 (sin.f64 x)) 0)
(/.f64 -1 (sin.f64 x))
(-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (cos.f64 0)))
(-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (/.f64 0 (sin.f64 x)) 2))
(/.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 -1/2 (sin.f64 x)) (/.f64 (/.f64 4 (sin.f64 x)) 8))
(/.f64 -1 (sin.f64 x))
(-.f64 (/.f64 (/.f64 -1 (sin.f64 x)) 4) (/.f64 (/.f64 3 (sin.f64 x)) 4))
(/.f64 -1 (sin.f64 x))
(-.f64 (/.f64 (/.f64 -3 (sin.f64 x)) 4) (/.f64 1/2 (*.f64 (sin.f64 x) 2)))
(/.f64 -1 (sin.f64 x))
(-.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) (/.f64 (/.f64 3/2 (sin.f64 x)) 2))
(/.f64 -1 (sin.f64 x))
(-.f64 (-.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) (/.f64 1/2 (sin.f64 x))) (/.f64 1/2 (*.f64 (sin.f64 x) 2)))
(/.f64 -1 (sin.f64 x))
(-.f64 (/.f64 (/.f64 (/.f64 -3 (sin.f64 x)) 4) (cos.f64 0)) (/.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 2)) (cos.f64 0)))
(/.f64 (+.f64 (/.f64 -3/4 (sin.f64 x)) (/.f64 -1/4 (sin.f64 x))) (cos.f64 0))
(/.f64 -1 (*.f64 (cos.f64 0) (sin.f64 x)))
(/.f64 -1 (*.f64 (sin.f64 x) (cos.f64 0)))
(-.f64 (/.f64 (/.f64 -3/2 (sin.f64 x)) 2) (/.f64 1/2 (*.f64 (sin.f64 x) 2)))
(/.f64 -1 (sin.f64 x))
(-.f64 (/.f64 (/.f64 (/.f64 -1/2 (sin.f64 x)) 2) 1/2) (/.f64 1/2 (sin.f64 x)))
(/.f64 -1 (sin.f64 x))
(-.f64 (/.f64 (/.f64 -6 (sin.f64 x)) 8) (/.f64 (/.f64 2 (sin.f64 x)) 8))
(/.f64 -1 (sin.f64 x))
(-.f64 (/.f64 (/.f64 -5 (sin.f64 x)) 8) (/.f64 (/.f64 3 (sin.f64 x)) 8))
(/.f64 -1 (sin.f64 x))
(*.f64 -1 (/.f64 1 (sin.f64 x)))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 -1 (sin.f64 x)) 1)
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (cos.f64 0)))
(/.f64 (+.f64 (/.f64 -3/4 (sin.f64 x)) (/.f64 -1/4 (sin.f64 x))) (cos.f64 0))
(/.f64 -1 (*.f64 (cos.f64 0) (sin.f64 x)))
(/.f64 -1 (*.f64 (sin.f64 x) (cos.f64 0)))
(*.f64 1 (/.f64 -1 (sin.f64 x)))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 -2 (sin.f64 x)) 1/2)
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 -2 (sin.f64 x)) (/.f64 1/2 (cos.f64 0)))
(/.f64 (+.f64 (/.f64 -3/4 (sin.f64 x)) (/.f64 -1/4 (sin.f64 x))) (cos.f64 0))
(/.f64 -1 (*.f64 (cos.f64 0) (sin.f64 x)))
(/.f64 -1 (*.f64 (sin.f64 x) (cos.f64 0)))
(*.f64 -2 (/.f64 1/2 (sin.f64 x)))
(/.f64 -1 (sin.f64 x))
(.f64 -2 (.f64 (/.f64 1 (sin.f64 x)) 1/2))
(/.f64 -1 (sin.f64 x))
(.f64 -2 (/.f64 -1 (.f64 (sin.f64 x) -2)))
(/.f64 -1 (sin.f64 x))
(*.f64 2 (/.f64 -1/2 (sin.f64 x)))
(/.f64 -1 (sin.f64 x))
(.f64 2 (.f64 (/.f64 -1 (sin.f64 x)) 1/2))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) -1)
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 -1 (cos.f64 0)))
(/.f64 (+.f64 (/.f64 -3/4 (sin.f64 x)) (/.f64 -1/4 (sin.f64 x))) (cos.f64 0))
(/.f64 -1 (*.f64 (cos.f64 0) (sin.f64 x)))
(/.f64 -1 (*.f64 (sin.f64 x) (cos.f64 0)))
(.f64 -4 (/.f64 1/2 (.f64 (sin.f64 x) 2)))
(/.f64 -1 (sin.f64 x))
(.f64 -4 (.f64 (/.f64 1/2 (sin.f64 x)) 1/2))
(/.f64 -1 (sin.f64 x))
(.f64 -4 (/.f64 -1 (.f64 (sin.f64 x) -4)))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 -4 (sin.f64 x)) 1/4)
(/.f64 -1 (sin.f64 x))
(.f64 4 (/.f64 -1 (.f64 (sin.f64 x) 4)))
(/.f64 -1 (sin.f64 x))
(*.f64 1/2 (/.f64 -2 (sin.f64 x)))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 1/2 (sin.f64 x)) -2)
(/.f64 -1 (sin.f64 x))
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) 2)) -4)
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 2 (sin.f64 x)) -1/2)
(/.f64 -1 (sin.f64 x))
(.f64 -8 (/.f64 1/2 (.f64 (sin.f64 x) 4)))
(/.f64 -1 (sin.f64 x))
(.f64 -8 (.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 2)) 1/2))
(/.f64 -1 (sin.f64 x))
(.f64 -8 (/.f64 -1 (neg.f64 (.f64 (*.f64 (sin.f64 x) 2) 4))))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 -1/2 (sin.f64 x)) 2)
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 -8 (sin.f64 x)) 1/8)
(/.f64 -1 (sin.f64 x))
(.f64 8 (/.f64 -1 (.f64 (*.f64 (sin.f64 x) 2) 4)))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 4 (sin.f64 x)) -1/4)
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 1 (cos.f64 0)) (/.f64 -1 (sin.f64 x)))
(/.f64 (+.f64 (/.f64 -3/4 (sin.f64 x)) (/.f64 -1/4 (sin.f64 x))) (cos.f64 0))
(/.f64 -1 (*.f64 (cos.f64 0) (sin.f64 x)))
(/.f64 -1 (*.f64 (sin.f64 x) (cos.f64 0)))
(*.f64 1/4 (/.f64 -4 (sin.f64 x)))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 -1 (cos.f64 0)) (/.f64 1 (sin.f64 x)))
(/.f64 (+.f64 (/.f64 -3/4 (sin.f64 x)) (/.f64 -1/4 (sin.f64 x))) (cos.f64 0))
(/.f64 -1 (*.f64 (cos.f64 0) (sin.f64 x)))
(/.f64 -1 (*.f64 (sin.f64 x) (cos.f64 0)))
(*.f64 (/.f64 -2 (cos.f64 0)) (/.f64 1/2 (sin.f64 x)))
(/.f64 (+.f64 (/.f64 -3/4 (sin.f64 x)) (/.f64 -1/4 (sin.f64 x))) (cos.f64 0))
(/.f64 -1 (*.f64 (cos.f64 0) (sin.f64 x)))
(/.f64 -1 (*.f64 (sin.f64 x) (cos.f64 0)))
(.f64 (/.f64 1/2 (.f64 (sin.f64 x) 4)) -8)
(/.f64 -1 (sin.f64 x))
(.f64 -16 (/.f64 1 (.f64 (*.f64 (sin.f64 x) 4) 4)))
(/.f64 -1 (sin.f64 x))
(.f64 -16 (/.f64 1/2 (.f64 (*.f64 (sin.f64 x) 2) 4)))
(/.f64 -1 (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))

localize51.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.8b	(-.f64 (-.f64 (*.f64 1/2 x) 1) -1)

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite539.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1264×	`rational_best-simplify-83`
730×	`rational_best-simplify-51`
716×	`rational_best-simplify-39`
694×	`rational_best-simplify-40`
628×	`rational_best-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	61	7
2	110	7
3	274	7
4	943	7
5	5625	7

Stop Event

1×	node limit

Counts

1 → 77

Calls

Call 1

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

Outputs

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

simplify417.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1136×	`rational_best-simplify-47`
942×	`rational_best-simplify-64`
676×	`rational_best-simplify-63`
640×	`rational_best-simplify-49`
578×	`rational_best-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	659
1	379	659
2	961	659
3	4858	657

Stop Event

1×	node limit

Counts

89 → 81

Calls

Call 1

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

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

localize132.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x 4) (+.f64 x (.f64 (pow.f64 x 3) -1/24)))
✓	0.0b	(-.f64 (+.f64 (/.f64 x -1/2) (-.f64 (.f64 x 4) (+.f64 x (.f64 (pow.f64 x 3) -1/24)))) (*.f64 x 1/2))
✓	0.1b	(*.f64 (pow.f64 x 3) -1/24)
✓	0.4b	(+.f64 (/.f64 x -1/2) (-.f64 (.f64 x 4) (+.f64 x (.f64 (pow.f64 x 3) -1/24))))

Compiler

Compiled 76 to 56 computations (26.3% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (/.f64 x -1/2) (-.f64 (.f64 x 4) (+.f64 x (.f64 (pow.f64 x 3) -1/24))))
0.0ms	x	@	inf	(+.f64 (/.f64 x -1/2) (-.f64 (.f64 x 4) (+.f64 x (.f64 (pow.f64 x 3) -1/24))))
0.0ms	x	@	-inf	(+.f64 (/.f64 x -1/2) (-.f64 (.f64 x 4) (+.f64 x (.f64 (pow.f64 x 3) -1/24))))
0.0ms	x	@	0	(*.f64 (pow.f64 x 3) -1/24)
0.0ms	x	@	inf	(-.f64 (+.f64 (/.f64 x -1/2) (-.f64 (.f64 x 4) (+.f64 x (.f64 (pow.f64 x 3) -1/24)))) (*.f64 x 1/2))

rewrite556.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2034×	`rational_best-1`
2032×	`rational_best-4`
2032×	`rational_best-2`
2032×	`rational_best-3`
450×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	142
1	119	136
2	256	124
3	808	88
4	5170	88

Stop Event

1×	node limit

Counts

4 → 184

Calls

Call 1

Inputs
(+.f64 (/.f64 x -1/2) (-.f64 (.f64 x 4) (+.f64 x (.f64 (pow.f64 x 3) -1/24))))
(*.f64 (pow.f64 x 3) -1/24)
(-.f64 (+.f64 (/.f64 x -1/2) (-.f64 (.f64 x 4) (+.f64 x (.f64 (pow.f64 x 3) -1/24)))) (*.f64 x 1/2))
(-.f64 (.f64 x 4) (+.f64 x (.f64 (pow.f64 x 3) -1/24)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (.f64 (pow.f64 x 3) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (neg.f64 (.f64 (pow.f64 x 3) 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x -2) (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x -2) (+.f64 (-.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 5)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x 4) (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x 4) (+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 3)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x 4) (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24))) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (.f64 (pow.f64 x 3) -1/24) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24))) (.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (-.f64 (.f64 (pow.f64 x 3) -1/24) (+.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x 3) (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x 3) (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x 3) (+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 3)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x 3) (+.f64 (+.f64 x x) (neg.f64 (.f64 (pow.f64 x 3) 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 x 3) 1/24) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 x) (-.f64 (.f64 (pow.f64 x 3) -1/24) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 x) (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24))) (neg.f64 (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (+.f64 x (.f64 (pow.f64 x 3) -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 3)) (.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (-.f64 (neg.f64 (.f64 (pow.f64 x 3) 1/24)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x -3) (-.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x -3) (+.f64 (-.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 5)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x 4) (.f64 (pow.f64 x 3) 1/24)) (.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (pow.f64 x 3) 1/24) x) (.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (pow.f64 x 3) 1/24) x) (-.f64 (.f64 x -3) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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(pow.f64 x 3) 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 x 3) 2) (/.f64 (+.f64 (.f64 x 3) (neg.f64 (.f64 (pow.f64 x 3) -1/12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (pow.f64 x 3) 1/24) 2) (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 x 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/24) x) 2) (/.f64 (+.f64 (-.f64 (.f64 (pow.f64 x 3) 1/24) x) (.f64 x 8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (.f64 x -3)) (-.f64 1 (.f64 (pow.f64 x 3) -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (.f64 (pow.f64 x 3) -1/24)) (-.f64 1 (.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 x) (-.f64 1 (-.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 4))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2)) (.f64 2 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 x 6) (neg.f64 (.f64 (pow.f64 x 3) -1/12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/12)) (.f64 x 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 x -2) (-.f64 (.f64 x 8) (.f64 (pow.f64 x 3) -1/12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (.f64 x 8) (.f64 (pow.f64 x 3) -1/12)) (.f64 x -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 x x) 8) (.f64 2 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/12))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x 6) (.f64 (pow.f64 x 3) -1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/12)) (.f64 x -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x -2) (-.f64 (.f64 (pow.f64 x 3) -1/12) (.f64 x 8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (.f64 x 8) (.f64 (pow.f64 x 3) -1/12)) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x -3)))))))

simplify704.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

796×	`rational_best-simplify-59`
776×	`rational_best-simplify-83`
730×	`rational_best-simplify-65`
682×	`rational_best-simplify-75`
662×	`rational_best-simplify-64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	393	5920
1	983	5920
2	2767	5850

Stop Event

1×	node limit

Counts

232 → 246

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(*.f64 3 x)
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 x (neg.f64 (*.f64 (pow.f64 x 3) 1/24)))
(-.f64 (.f64 x -2) (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x -3)))
(-.f64 (.f64 x -2) (+.f64 (-.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 5)) (+.f64 x x)))
(-.f64 (.f64 x 4) (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 3)))
(-.f64 (.f64 x 4) (+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 3)) 0))
(-.f64 (.f64 x 4) (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24))) x))
(-.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) (+.f64 x x))
(-.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/24)) 0)
(-.f64 0 (-.f64 (*.f64 (pow.f64 x 3) -1/24) x))
(-.f64 0 (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24))) (.f64 x -3)))
(-.f64 0 (+.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/24) (+.f64 x x)) x))
(-.f64 (.f64 x 3) (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24))))
(-.f64 (.f64 x 3) (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (.f64 x 3) (+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 3)) (neg.f64 x)))
(-.f64 (.f64 x 3) (+.f64 (+.f64 x x) (neg.f64 (.f64 (pow.f64 x 3) 1/24))))
(-.f64 (*.f64 (pow.f64 x 3) 1/24) (neg.f64 x))
(-.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 x 3) -1/24) (+.f64 x x)))
(-.f64 (neg.f64 x) (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24))) (neg.f64 (.f64 x 4))))
(-.f64 (+.f64 x x) (+.f64 x (*.f64 (pow.f64 x 3) -1/24)))
(-.f64 (+.f64 x x) (+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 3)) (*.f64 x -2)))
(-.f64 (+.f64 x x) (-.f64 (neg.f64 (*.f64 (pow.f64 x 3) 1/24)) (neg.f64 x)))
(-.f64 (.f64 x -3) (-.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 4)))
(-.f64 (.f64 x -3) (+.f64 (-.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 5)) x))
(-.f64 (+.f64 (.f64 x 4) (.f64 (pow.f64 x 3) 1/24)) (*.f64 x 3))
(-.f64 (-.f64 (.f64 (pow.f64 x 3) 1/24) x) (.f64 x -2))
(-.f64 (-.f64 (.f64 (pow.f64 x 3) 1/24) x) (-.f64 (.f64 x -3) (neg.f64 x)))
(-.f64 (neg.f64 (.f64 x 4)) (-.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 5)))
(-.f64 (neg.f64 (.f64 x 4)) (+.f64 (-.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 5)) 0))
(-.f64 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2) (+.f64 (+.f64 x x) (+.f64 (.f64 x 3) (*.f64 (pow.f64 x 3) 1/24))))
(-.f64 (.f64 x 8) (+.f64 (+.f64 x x) (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 5))))
(-.f64 (.f64 x 8) (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24))) (*.f64 x 5)))
(-.f64 (.f64 x 8) (+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 5)) (+.f64 x x)))
(-.f64 (+.f64 (.f64 x -2) (.f64 (pow.f64 x 3) 1/24)) (*.f64 x -3))
(-.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/24) (+.f64 x x)) x)
(-.f64 (-.f64 (.f64 (pow.f64 x 3) -1/24) x) (-.f64 (.f64 (pow.f64 x 3) -1/12) (+.f64 x x)))
(-.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2) (/.f64 (-.f64 (.f64 (pow.f64 x 3) -1/24) x) 2))
(-.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2) (-.f64 x (/.f64 (+.f64 (.f64 x 3) (*.f64 (pow.f64 x 3) 1/24)) 2)))
(-.f64 (/.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2) (-.f64 (+.f64 x x) (/.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2)))
(-.f64 (.f64 x 6) (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 5)))
(-.f64 (.f64 x 6) (+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 3)) (+.f64 x x)))
(-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/12)) (-.f64 (.f64 (pow.f64 x 3) 1/24) x))
(-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/12)) (+.f64 (+.f64 x x) (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 x -3))))
(-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/12)) (+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 x -3)) (+.f64 x x)))
(-.f64 (+.f64 (.f64 x 4) (.f64 (pow.f64 x 3) -1/24)) (-.f64 (.f64 (pow.f64 x 3) -1/12) (.f64 x -3)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 5)) (-.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/12))) (.f64 x -2)))
(-.f64 (+.f64 (/.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2) (.f64 x -2)) (-.f64 0 (/.f64 (+.f64 (.f64 x 3) (*.f64 (pow.f64 x 3) 1/24)) 2)))
(-.f64 (-.f64 (.f64 x 3) (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 3))) (neg.f64 x))
(-.f64 (-.f64 (.f64 x 6) (+.f64 x x)) (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 3)))
(-.f64 (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/12)) (+.f64 x x)) (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 x -3)))
(-.f64 (-.f64 (neg.f64 x) (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24)))) (neg.f64 (.f64 x 4)))
(-.f64 (-.f64 (.f64 x 8) (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24)))) (*.f64 x 5))
(-.f64 (-.f64 (.f64 x -2) (-.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 5))) (+.f64 x x))
(-.f64 (-.f64 (.f64 x -3) (-.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 5))) x)
(-.f64 (-.f64 (/.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2) (+.f64 x x)) (-.f64 0 (/.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2)))
(-.f64 (-.f64 (.f64 x -2) (.f64 x -2)) (-.f64 (*.f64 (pow.f64 x 3) -1/24) x))
(-.f64 (+.f64 (neg.f64 x) (.f64 x 8)) (-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 5)) (neg.f64 x)))
(-.f64 (+.f64 (neg.f64 x) (.f64 x 6)) (-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 3)) (neg.f64 x)))
(-.f64 (+.f64 (neg.f64 x) (neg.f64 (.f64 (pow.f64 x 3) -1/12))) (-.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 x -3)) (neg.f64 x)))
(.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 1)
(.f64 1/2 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/24)) 2))
(.f64 1 (+.f64 x (.f64 (pow.f64 x 3) 1/24)))
(.f64 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/24)) 2) 1/2)
(.f64 (.f64 2 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2)) 1/4)
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/24)) 1)
(/.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2) 2)
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/24) x) -1)
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/24)) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2)) (.f64 2 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2))) 8)
(/.f64 (+.f64 (/.f64 (.f64 x 4) -1/2) (.f64 2 (.f64 (+.f64 (.f64 x 3) (*.f64 (pow.f64 x 3) 1/24)) 2))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2)) (/.f64 (*.f64 x 4) -1/2)) 4)
(/.f64 (-.f64 (neg.f64 (.f64 x 4)) (-.f64 0 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2))) 2)
(/.f64 (-.f64 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2) (.f64 x 4)) 2)
(pow.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/24)) 1)
(neg.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/24) x))
(+.f64 (*.f64 (pow.f64 x 3) -1/24) 0)
(+.f64 0 (*.f64 (pow.f64 x 3) -1/24))
(+.f64 (/.f64 (.f64 (pow.f64 x 3) -1/24) 2) (/.f64 (.f64 (pow.f64 x 3) -1/24) 2))
(-.f64 (*.f64 (pow.f64 x 3) -1/24) 0)
(-.f64 (/.f64 (.f64 (pow.f64 x 3) -1/24) 2) (/.f64 (.f64 (pow.f64 x 3) 1/24) 2))
(/.f64 (*.f64 (pow.f64 x 3) -1/24) 1)
(/.f64 (*.f64 (pow.f64 x 3) -1/12) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) -1/12)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 3) -1/12)) (.f64 2 (.f64 (pow.f64 x 3) -1/12))) 8)
(pow.f64 (*.f64 (pow.f64 x 3) -1/24) 1)
(+.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/24) (/.f64 x -2)))
(+.f64 (.f64 x -2) (+.f64 (+.f64 (.f64 x 3) (*.f64 (pow.f64 x 3) 1/24)) (/.f64 x -2)))
(+.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) (*.f64 (+.f64 x x) -5/4))
(+.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/24)) (/.f64 x -2))
(+.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/24) (+.f64 x (/.f64 x -2))) 0)
(+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 x (/.f64 x -2))) (-.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) (+.f64 x (*.f64 (pow.f64 x 3) 1/24))))
(+.f64 0 (+.f64 (*.f64 (pow.f64 x 3) 1/24) (+.f64 x (/.f64 x -2))))
(+.f64 (*.f64 (pow.f64 x 3) 1/24) (+.f64 x (/.f64 x -2)))
(+.f64 (+.f64 x x) (+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/24) x) (/.f64 x -2)))
(+.f64 (/.f64 x -2) (+.f64 x (*.f64 (pow.f64 x 3) 1/24)))
(+.f64 (+.f64 (.f64 x -2) (.f64 (pow.f64 x 3) 1/24)) (+.f64 (*.f64 x 3) (/.f64 x -2)))
(+.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/24) (+.f64 x x)) (+.f64 (neg.f64 x) (/.f64 x -2)))
(+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 x x)) (-.f64 (neg.f64 x) (.f64 x 1/2)))
(+.f64 (.f64 (+.f64 x x) -5/4) (+.f64 (.f64 x 3) (*.f64 (pow.f64 x 3) 1/24)))
(+.f64 (+.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) (/.f64 x -2)) (*.f64 x -2))
(+.f64 (-.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2) (/.f64 x 4)) (-.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2) (/.f64 x 4)))
(+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2) (+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2) (/.f64 x -2)))
(+.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2) (-.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2) (*.f64 x 1/2)))
(+.f64 (-.f64 (neg.f64 x) (.f64 x 1/2)) (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 x x)))
(+.f64 (-.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/24)) (/.f64 x 4)) (neg.f64 (/.f64 x 4)))
(+.f64 (-.f64 0 (-.f64 (*.f64 (pow.f64 x 3) -1/24) (/.f64 x -2))) x)
(+.f64 (-.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2) (.f64 x 1/2)) (-.f64 (.f64 (pow.f64 x 3) -1/24) x))
(+.f64 (-.f64 (.f64 (+.f64 x x) -5/4) (+.f64 x (.f64 (pow.f64 x 3) -1/24))) (neg.f64 (neg.f64 (*.f64 x 4))))
(+.f64 (-.f64 (+.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) (/.f64 x -2)) x) (neg.f64 x))
(+.f64 (/.f64 (/.f64 x -2) 2) (/.f64 (+.f64 (/.f64 x -2) (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2)) 2))
(+.f64 (-.f64 (/.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2) (+.f64 x x)) (-.f64 (/.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2) (*.f64 x 1/2)))
(+.f64 (-.f64 (/.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2) (.f64 x 1/2)) (-.f64 (/.f64 (+.f64 (.f64 x 3) (*.f64 (pow.f64 x 3) 1/24)) 2) (+.f64 x x)))
(+.f64 (-.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2) (.f64 x 1/2)) (/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/24)) 2))
(+.f64 (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) (-.f64 1 (.f64 x 1/2)))
(+.f64 (-.f64 -1 (.f64 x 1/2)) (-.f64 1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)))
(.f64 1/2 (-.f64 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/24)) 2) x))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 x (/.f64 x -2))) 1)
(.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 x (/.f64 x -2))))
(.f64 (-.f64 (.f64 x 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/24))) -1)
(.f64 (-.f64 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/24)) 2) x) 1/2)
(.f64 (.f64 2 (-.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2) x)) 1/4)
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/24) (+.f64 x (/.f64 x -2))) 1)
(/.f64 (-.f64 (.f64 x 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/24))) -1)
(/.f64 (-.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2) x) 2)
(/.f64 (.f64 2 (-.f64 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/24)) 2) x)) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2) x)) (.f64 2 (-.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/24)) 2) x))) 8)
(/.f64 (-.f64 (.f64 2 (.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/24)) 2)) (+.f64 x x)) 4)
(pow.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/24) (+.f64 x (/.f64 x -2))) 1)
(neg.f64 (-.f64 (.f64 x 1/2) (+.f64 x (.f64 (pow.f64 x 3) 1/24))))
(+.f64 x (-.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) -1/24)))
(+.f64 x (-.f64 (+.f64 x x) (neg.f64 (*.f64 (pow.f64 x 3) 1/24))))
(+.f64 (.f64 x 4) (-.f64 (.f64 (pow.f64 x 3) 1/24) x))
(+.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 0)
(+.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) (-.f64 (.f64 x 3) (.f64 x 3)))
(+.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) (-.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 3) 1/24)))
(+.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/24)) (+.f64 x x))
(+.f64 0 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)))
(+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24))
(+.f64 (.f64 x 3) (+.f64 x (-.f64 (.f64 (pow.f64 x 3) 1/24) x)))
(+.f64 (.f64 x 3) (neg.f64 (neg.f64 (.f64 (pow.f64 x 3) 1/24))))
(+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 x 3))
(+.f64 (neg.f64 x) (+.f64 (.f64 x 4) (.f64 (pow.f64 x 3) 1/24)))
(+.f64 (+.f64 x x) (+.f64 x (*.f64 (pow.f64 x 3) 1/24)))
(+.f64 (/.f64 x -2) (/.f64 (+.f64 (neg.f64 x) (-.f64 (.f64 x 8) (.f64 (pow.f64 x 3) -1/12))) 2))
(+.f64 (+.f64 (.f64 x 4) (.f64 (pow.f64 x 3) 1/24)) (neg.f64 x))
(+.f64 (-.f64 (.f64 (pow.f64 x 3) 1/24) x) (.f64 x 4))
(+.f64 (-.f64 (.f64 (pow.f64 x 3) 1/24) x) (neg.f64 (neg.f64 (.f64 x 4))))
(+.f64 (/.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2) (/.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2))
(+.f64 (-.f64 (+.f64 (.f64 x 4) (.f64 (pow.f64 x 3) 1/24)) (*.f64 x 1/2)) (/.f64 x -2))
(+.f64 (-.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) -1/24)) x)
(+.f64 (-.f64 (.f64 x 4) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/24)) 2)) (neg.f64 (/.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/24)) 2)))
(+.f64 (-.f64 (.f64 x 3) (/.f64 (.f64 (pow.f64 x 3) -1/24) 2)) (neg.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/24) 2)))
(+.f64 (-.f64 (.f64 x 8) (+.f64 x (.f64 (pow.f64 x 3) -1/24))) (neg.f64 (*.f64 x 4)))
(+.f64 (-.f64 (.f64 x 6) (.f64 (pow.f64 x 3) -1/24)) (*.f64 x -3))
(+.f64 (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/12)) (.f64 x -3)) (neg.f64 (*.f64 (pow.f64 x 3) 1/24)))
(+.f64 (/.f64 (.f64 x 3) 2) (/.f64 (+.f64 (.f64 x 3) (neg.f64 (*.f64 (pow.f64 x 3) -1/12))) 2))
(+.f64 (/.f64 (.f64 (pow.f64 x 3) 1/24) 2) (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 x 6)) 2))
(+.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/24) x) 2) (/.f64 (+.f64 (-.f64 (.f64 (pow.f64 x 3) 1/24) x) (*.f64 x 8)) 2))
(+.f64 (-.f64 -1 (.f64 x -3)) (-.f64 1 (.f64 (pow.f64 x 3) -1/24)))
(+.f64 (-.f64 -1 (.f64 (pow.f64 x 3) -1/24)) (-.f64 1 (.f64 x -3)))
(+.f64 (-.f64 -1 x) (-.f64 1 (-.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 4))))
(+.f64 (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 4))) (-.f64 1 x))
(.f64 (+.f64 (.f64 x 3) (*.f64 (pow.f64 x 3) 1/24)) 1)
(.f64 1/2 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2))
(.f64 1 (+.f64 (.f64 x 3) (*.f64 (pow.f64 x 3) 1/24)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x -3)) -1)
(.f64 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2) 1/2)
(.f64 (.f64 2 (.f64 (+.f64 (.f64 x 3) (*.f64 (pow.f64 x 3) 1/24)) 2)) 1/4)
(/.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 1)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x -3)) -1)
(/.f64 (.f64 (+.f64 (.f64 x 3) (*.f64 (pow.f64 x 3) 1/24)) 2) 2)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2)) (.f64 2 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2))) 8)
(/.f64 (+.f64 (.f64 x 6) (neg.f64 (.f64 (pow.f64 x 3) -1/12))) 2)
(/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/12)) (.f64 x 6)) 2)
(/.f64 (+.f64 (.f64 x -2) (-.f64 (.f64 x 8) (*.f64 (pow.f64 x 3) -1/12))) 2)
(/.f64 (+.f64 (-.f64 (.f64 x 8) (.f64 (pow.f64 x 3) -1/12)) (*.f64 x -2)) 2)
(/.f64 (-.f64 (.f64 (+.f64 x x) 8) (.f64 2 (+.f64 x (+.f64 x (*.f64 (pow.f64 x 3) -1/12))))) 4)
(/.f64 (-.f64 (.f64 x 6) (.f64 (pow.f64 x 3) -1/12)) 2)
(/.f64 (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/12)) (.f64 x -6)) 2)
(/.f64 (-.f64 (.f64 x -2) (-.f64 (.f64 (pow.f64 x 3) -1/12) (*.f64 x 8))) 2)
(/.f64 (-.f64 (-.f64 (.f64 x 8) (.f64 (pow.f64 x 3) -1/12)) (+.f64 x x)) 2)
(pow.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 1)
(neg.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x -3)))

Outputs
x
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/24)
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/24)
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/24)
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/24)
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/24)
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/24)
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/24)
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/24)
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/24)
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/24)
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/24)
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/24)
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 3 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (neg.f64 (*.f64 (pow.f64 x 3) 1/24)))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (.f64 x -2) (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x -3)))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (.f64 x -2) (+.f64 (-.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 5)) (+.f64 x x)))
(-.f64 (.f64 x -2) (+.f64 x (+.f64 x (-.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 5)))))
(+.f64 (.f64 x -2) (-.f64 (.f64 x -2) (-.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 5))))
(-.f64 (.f64 x 4) (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 3)))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (.f64 x 4) (+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x 3)) 0))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (.f64 x 4) (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24))) x))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) (+.f64 x x))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/24)) 0)
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 0 (-.f64 (*.f64 (pow.f64 x 3) -1/24) x))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/24))
(-.f64 0 (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24))) (.f64 x -3)))
(+.f64 x (*.f64 1/24 (pow.f64 x 3)))
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(+.f64 (-.f64 -1 x) (-.f64 (.f64 x 4) (+.f64 (.f64 (pow.f64 x 3) -1/24) -1)))
(+.f64 (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 4))) (-.f64 1 x))
(+.f64 (-.f64 (.f64 x 4) (+.f64 (.f64 (pow.f64 x 3) -1/24) 1)) (-.f64 1 x))
(.f64 (+.f64 (.f64 x 3) (*.f64 (pow.f64 x 3) 1/24)) 1)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(.f64 1/2 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(.f64 1 (+.f64 (.f64 x 3) (*.f64 (pow.f64 x 3) 1/24)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 x -3)) -1)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2) 1/2)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(.f64 (.f64 2 (.f64 (+.f64 (.f64 x 3) (*.f64 (pow.f64 x 3) 1/24)) 2)) 1/4)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 1)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x -3)) -1)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (.f64 (+.f64 (.f64 x 3) (*.f64 (pow.f64 x 3) 1/24)) 2) 2)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2)) 4)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2)) (.f64 2 (.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 2))) 8)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 x 6) (neg.f64 (.f64 (pow.f64 x 3) -1/12))) 2)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/12)) (.f64 x 6)) 2)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 x -2) (-.f64 (.f64 x 8) (*.f64 (pow.f64 x 3) -1/12))) 2)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (+.f64 (-.f64 (.f64 x 8) (.f64 (pow.f64 x 3) -1/12)) (*.f64 x -2)) 2)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (-.f64 (.f64 (+.f64 x x) 8) (.f64 2 (+.f64 x (+.f64 x (*.f64 (pow.f64 x 3) -1/12))))) 4)
(/.f64 (-.f64 (.f64 (+.f64 x x) 8) (.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -1/12) (+.f64 x x)))) 4)
(-.f64 (.f64 x 4) (/.f64 (.f64 2 (+.f64 x (+.f64 x (*.f64 (pow.f64 x 3) -1/12)))) 4))
(/.f64 (-.f64 (.f64 x 6) (.f64 (pow.f64 x 3) -1/12)) 2)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/12)) (.f64 x -6)) 2)
(-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/24)) (/.f64 (.f64 x -6) 2))
(-.f64 (.f64 1/24 (pow.f64 x 3)) (/.f64 (.f64 x -6) 2))
(/.f64 (-.f64 (.f64 x -2) (-.f64 (.f64 (pow.f64 x 3) -1/12) (*.f64 x 8))) 2)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (-.f64 (-.f64 (.f64 x 8) (.f64 (pow.f64 x 3) -1/12)) (+.f64 x x)) 2)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(pow.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) 1)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x -3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 1/24 (pow.f64 x 3)))

localize69.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 -1/2 (sin.f64 x))
✓	0.2b	(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
✓	0.2b	(-.f64 1/2 (cos.f64 x))
✓	2.2b	(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (/.f64 -1/2 (sin.f64 x)))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series28.0ms (0%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	x	@	-inf	(/.f64 -1/2 (sin.f64 x))
1.0ms	x	@	-inf	(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
1.0ms	x	@	inf	(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
1.0ms	x	@	inf	(/.f64 -1/2 (sin.f64 x))
0.0ms	x	@	0	(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))

rewrite482.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1874×	`rational_best-4`
1874×	`rational_best-2`
1874×	`rational_best-3`
1874×	`rational_best-1`
448×	`rational_best-simplify-52`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	70
1	91	64
2	255	64
3	900	64
4	5531	64

Stop Event

1×	node limit

Counts

4 → 172

Calls

Call 1

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

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

simplify673.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1456×	`rational_best-simplify-47`
1220×	`rational_best-simplify-66`
816×	`rational_best-simplify-1`
682×	`rational_best-simplify-108`
680×	`rational_best-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	387	4296
1	1064	4230
2	3618	4114

Stop Event

1×	node limit

Counts

196 → 228

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)))
-1/2
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) 1/2)
(/.f64 -1/2 x)
(-.f64 (.f64 5/12 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 5/12 x) (.f64 23/720 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 5/12 x) (+.f64 (.f64 19/6048 (pow.f64 x 5)) (.f64 23/720 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (.f64 -1/12 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/12 x) (.f64 -7/720 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/12 x) (+.f64 (.f64 -7/720 (pow.f64 x 3)) (.f64 -31/30240 (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (-.f64 3/2 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(+.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (/.f64 (+.f64 (-.f64 1/2 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)) 2))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (+.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (-.f64 3/2 (cos.f64 x)) (.f64 (sin.f64 x) 2))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 (-.f64 3/2 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 (-.f64 3/2 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (.f64 (sin.f64 x) 2))))
(+.f64 (-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 (sin.f64 x) 2)) (/.f64 -1/2 (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)))
(+.f64 (-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (/.f64 -1/4 (sin.f64 x))) (neg.f64 (/.f64 -1/4 (sin.f64 x))))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2))) (neg.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2))))
(+.f64 (-.f64 -1 (/.f64 -1 (sin.f64 x))) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))) (-.f64 1 (/.f64 -1/2 (sin.f64 x))))
(+.f64 (-.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 1 (/.f64 -1 (sin.f64 x))))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)
(+.f64 (-.f64 -1 (/.f64 -1/2 (sin.f64 x))) (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))))
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 1 (-.f64 1 (.f64 (cos.f64 x) 2))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 (+.f64 1 (-.f64 1 (.f64 (cos.f64 x) 2))) 2))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(.f64 (+.f64 1 (-.f64 1 (.f64 (cos.f64 x) 2))) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
(.f64 (-.f64 (.f64 (-.f64 1/2 (cos.f64 x)) 4) -2) (/.f64 1/4 (sin.f64 x)))
(.f64 (.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) 1/4)
(.f64 (.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2) (/.f64 1/4 (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)
(/.f64 (+.f64 1 (-.f64 1 (.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2))
(/.f64 (-.f64 (.f64 (-.f64 1/2 (cos.f64 x)) 4) -2) (.f64 (sin.f64 x) 4))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) 4)
(/.f64 (+.f64 (+.f64 1 (-.f64 1 (.f64 (cos.f64 x) 2))) (.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (sin.f64 x) 4))
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (*.f64 (sin.f64 x) 4))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) 1/2)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 (+.f64 1 (-.f64 1 (*.f64 (cos.f64 x) 2))) 2) (sin.f64 x))
(/.f64 (/.f64 (+.f64 (+.f64 1 (-.f64 1 (.f64 (cos.f64 x) 2))) (.f64 (-.f64 1 (cos.f64 x)) 2)) 2) (*.f64 (sin.f64 x) 2))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 1/2 (cos.f64 x)) 4) -2) (sin.f64 x)) 4)
(/.f64 (+.f64 (-.f64 (.f64 (-.f64 1/2 (cos.f64 x)) 4) -2) (-.f64 (.f64 (-.f64 1/2 (cos.f64 x)) 4) -2)) (.f64 2 (.f64 (sin.f64 x) 4)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))) 8)
(/.f64 (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (.f64 2 (.f64 (sin.f64 x) 4)))
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 1/2 (cos.f64 x)) 4) (sin.f64 x)) (/.f64 -2 (sin.f64 x))) 4)
(/.f64 (-.f64 (.f64 2 (.f64 (-.f64 1/2 (cos.f64 x)) 4)) -4) (.f64 2 (.f64 (sin.f64 x) 4)))
(/.f64 (-.f64 2 (.f64 (cos.f64 x) 2)) (.f64 (sin.f64 x) 2))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (sin.f64 x) 4))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) 2)) (/.f64 1/2 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (sin.f64 x)) (/.f64 2 (sin.f64 x)))
(/.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (.f64 (sin.f64 x) 2)) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) (sin.f64 x)) (/.f64 4 (sin.f64 x)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) (*.f64 (sin.f64 x) 2)) (/.f64 2 (sin.f64 x)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(+.f64 1/2 (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 1/2 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1/2 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1/2)
(+.f64 (*.f64 (sin.f64 x) (sin.f64 0)) (-.f64 1/2 (cos.f64 x)))
(+.f64 (+.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 0))) (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 1/4 (/.f64 (cos.f64 x) 2)) (-.f64 1/4 (/.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) 2))
(+.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) 4) (/.f64 (*.f64 (-.f64 1/2 (cos.f64 x)) 3) 4))
(.f64 1/2 (-.f64 1 (.f64 (cos.f64 x) 2)))
(*.f64 (-.f64 1/2 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1/2 (cos.f64 x)))
(.f64 (-.f64 1 (.f64 (cos.f64 x) 2)) 1/2)
(*.f64 (+.f64 (cos.f64 x) -1/2) -1)
(.f64 (.f64 (-.f64 1/2 (cos.f64 x)) 4) 1/4)
(/.f64 (-.f64 1/2 (cos.f64 x)) 1)
(/.f64 (-.f64 1 (*.f64 (cos.f64 x) 2)) 2)
(/.f64 (+.f64 (cos.f64 x) -1/2) -1)
(/.f64 (*.f64 (-.f64 1/2 (cos.f64 x)) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 1/2 (cos.f64 x)) 4)) 8)
(pow.f64 (-.f64 1/2 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1/2))
(+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 1/2 (sin.f64 x)))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2))))
(+.f64 (-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 -1/4 (sin.f64 x))) (neg.f64 (/.f64 -1/4 (sin.f64 x))))
(+.f64 (/.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) 2)) 2) (/.f64 (/.f64 (.f64 (-.f64 1/2 (cos.f64 x)) 3) (*.f64 (sin.f64 x) 2)) 2))
(+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) 4)) (/.f64 (.f64 (-.f64 1/2 (cos.f64 x)) 3) (*.f64 (sin.f64 x) 4)))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))) 1)
(+.f64 (-.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 1 (/.f64 -1/2 (sin.f64 x))))
(+.f64 (-.f64 -1 (/.f64 -1/2 (sin.f64 x))) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (/.f64 (+.f64 (-.f64 1/2 (cos.f64 x)) (+.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (.f64 (sin.f64 x) 2)) (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) 2))))
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)))
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (+.f64 (cos.f64 x) -1/2) (.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 (sin.f64 x) 2)) (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)))
(-.f64 (sin.f64 0) (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 -1/2 (sin.f64 x)))
(-.f64 (/.f64 1/4 (sin.f64 x)) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (.f64 (sin.f64 x) 2)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2))))
(-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (-.f64 (cos.f64 x) (-.f64 1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 (/.f64 (-.f64 3/2 (cos.f64 x)) (.f64 (sin.f64 x) 2)) 2) (/.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) 2) (-.f64 1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) 2))
(-.f64 (/.f64 (/.f64 (.f64 (-.f64 1/2 (cos.f64 x)) 3) (.f64 (sin.f64 x) 2)) 2) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (*.f64 (sin.f64 x) 2)) 2))
(-.f64 (/.f64 (.f64 (-.f64 1/2 (cos.f64 x)) 3) (.f64 (sin.f64 x) 4)) (/.f64 (+.f64 (cos.f64 x) -1/2) (*.f64 (sin.f64 x) 4)))
(*.f64 1/2 (/.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 (sin.f64 x) 2)))
(*.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (.f64 (cos.f64 x) 2)))
(.f64 (-.f64 1 (.f64 (cos.f64 x) 2)) (/.f64 1/2 (sin.f64 x)))
(.f64 2 (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(.f64 2 (.f64 (/.f64 1 (sin.f64 x)) (-.f64 1/4 (/.f64 (cos.f64 x) 2))))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1/2 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1/2) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 (sin.f64 x) 2)) 1/2)
(.f64 (.f64 (-.f64 1/2 (cos.f64 x)) 4) (/.f64 1/4 (sin.f64 x)))
(.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (/.f64 -1/2 (sin.f64 x)))
(.f64 (/.f64 (.f64 (-.f64 1/2 (cos.f64 x)) 4) (sin.f64 x)) 1/4)
(.f64 (.f64 2 (.f64 (-.f64 1/2 (cos.f64 x)) 4)) (/.f64 1 (.f64 2 (*.f64 (sin.f64 x) 4))))
(.f64 (/.f64 1/4 (sin.f64 x)) (.f64 (-.f64 1/2 (cos.f64 x)) 4))
(.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (-.f64 1 (.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 2 (sin.f64 x))))
(.f64 (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (.f64 1 (-.f64 1/4 (/.f64 (cos.f64 x) 2))))
(.f64 (.f64 (sin.f64 x) (-.f64 1/2 (cos.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (-.f64 1 (*.f64 (cos.f64 x) 2))) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 (sin.f64 x) 2))) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (*.f64 (-.f64 1/2 (cos.f64 x)) 4)) (/.f64 (/.f64 1/4 (sin.f64 x)) (sin.f64 x)))
(pow.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)))
(+.f64 (/.f64 -1/2 (sin.f64 x)) 0)
(+.f64 0 (/.f64 -1/2 (sin.f64 x)))
(+.f64 (/.f64 -1/4 (sin.f64 x)) (/.f64 -1/4 (sin.f64 x)))
(-.f64 (/.f64 -1/2 (sin.f64 x)) 0)
(-.f64 0 (/.f64 1/2 (sin.f64 x)))
(-.f64 (/.f64 -1/4 (sin.f64 x)) (/.f64 1/4 (sin.f64 x)))
(-.f64 (/.f64 -1/4 (sin.f64 x)) (-.f64 0 (/.f64 -1/4 (sin.f64 x))))
(*.f64 1/2 (/.f64 -1 (sin.f64 x)))
(*.f64 -1/2 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 -1/2 (sin.f64 x)) 1)
(*.f64 1 (/.f64 -1/2 (sin.f64 x)))
(*.f64 (/.f64 1/2 (sin.f64 x)) -1)
(*.f64 -1 (/.f64 1/2 (sin.f64 x)))
(*.f64 2 (/.f64 -1/4 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) -1/2)
(*.f64 (/.f64 -1 (sin.f64 x)) 1/2)
(*.f64 -2 (/.f64 1/4 (sin.f64 x)))
(*.f64 (/.f64 -2 (sin.f64 x)) 1/4)
(.f64 -4 (/.f64 1 (.f64 2 (*.f64 (sin.f64 x) 4))))
(*.f64 (/.f64 1/4 (sin.f64 x)) -2)
(pow.f64 (/.f64 -1/2 (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 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.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)) (.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 1/2 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
-1/2
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1/2)
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(+.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 1/2 (sin.f64 x)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(+.f64 (-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 -1/4 (sin.f64 x))) (neg.f64 (/.f64 -1/4 (sin.f64 x))))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) 2)) 2) (/.f64 (/.f64 (.f64 (-.f64 1/2 (cos.f64 x)) 3) (*.f64 (sin.f64 x) 2)) 2))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) 4)) (/.f64 (.f64 (-.f64 1/2 (cos.f64 x)) 3) (*.f64 (sin.f64 x) 4)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))) 1)
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(+.f64 (-.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 1 (/.f64 -1/2 (sin.f64 x))))
(+.f64 (-.f64 1 (/.f64 -1/2 (sin.f64 x))) (-.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 1 (-.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))))
(+.f64 (-.f64 -1 (/.f64 -1/2 (sin.f64 x))) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 -1 (/.f64 -1/2 (sin.f64 x))))
(+.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))))
(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (/.f64 (+.f64 (-.f64 1/2 (cos.f64 x)) (+.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (.f64 (sin.f64 x) 2)) (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (+.f64 (cos.f64 x) -1/2) (.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 (sin.f64 x) 2)) (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 2 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)))
(-.f64 (sin.f64 0) (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 -1/2 (sin.f64 x)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 1/4 (sin.f64 x)) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (.f64 (sin.f64 x) 2)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (-.f64 (cos.f64 x) (-.f64 1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (/.f64 (-.f64 3/2 (cos.f64 x)) (.f64 (sin.f64 x) 2)) 2) (/.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) 2) (-.f64 1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) 2))
(/.f64 (-.f64 (/.f64 (-.f64 3/2 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (/.f64 (-.f64 (cos.f64 x) (-.f64 1/2 (.f64 (cos.f64 x) 2))) (*.f64 (sin.f64 x) 2))) 2)
(/.f64 (-.f64 (-.f64 3/2 (cos.f64 x)) (-.f64 (.f64 (cos.f64 x) 2) (-.f64 1/2 (cos.f64 x)))) (.f64 (sin.f64 x) 4))
(-.f64 (/.f64 (/.f64 (.f64 (-.f64 1/2 (cos.f64 x)) 3) (.f64 (sin.f64 x) 2)) 2) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (*.f64 (sin.f64 x) 2)) 2))
(/.f64 (-.f64 (/.f64 (.f64 3 (-.f64 1/2 (cos.f64 x))) (.f64 (sin.f64 x) 2)) (/.f64 (+.f64 (cos.f64 x) -1/2) (*.f64 (sin.f64 x) 2))) 2)
(/.f64 (+.f64 (-.f64 (.f64 3 (-.f64 1/2 (cos.f64 x))) (cos.f64 x)) 1/2) (.f64 (sin.f64 x) 4))
(/.f64 (+.f64 1/2 (-.f64 (.f64 3 (-.f64 1/2 (cos.f64 x))) (cos.f64 x))) (.f64 (sin.f64 x) 4))
(-.f64 (/.f64 (.f64 (-.f64 1/2 (cos.f64 x)) 3) (.f64 (sin.f64 x) 4)) (/.f64 (+.f64 (cos.f64 x) -1/2) (*.f64 (sin.f64 x) 4)))
(/.f64 (-.f64 (/.f64 (.f64 3 (-.f64 1/2 (cos.f64 x))) (.f64 (sin.f64 x) 2)) (/.f64 (+.f64 (cos.f64 x) -1/2) (*.f64 (sin.f64 x) 2))) 2)
(/.f64 (+.f64 (-.f64 (.f64 3 (-.f64 1/2 (cos.f64 x))) (cos.f64 x)) 1/2) (.f64 (sin.f64 x) 4))
(/.f64 (+.f64 1/2 (-.f64 (.f64 3 (-.f64 1/2 (cos.f64 x))) (cos.f64 x))) (.f64 (sin.f64 x) 4))
(*.f64 1/2 (/.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(*.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 (-.f64 1 (.f64 (cos.f64 x) 2)) (/.f64 1/2 (sin.f64 x)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 2 (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 2 (.f64 (/.f64 1 (sin.f64 x)) (-.f64 1/4 (/.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1/2 (cos.f64 x))))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1/2 (cos.f64 x)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1/2) (/.f64 -1 (sin.f64 x)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 (sin.f64 x) 2)) 1/2)
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (-.f64 1/2 (cos.f64 x)) 4) (/.f64 1/4 (sin.f64 x)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (/.f64 -1/2 (sin.f64 x)))
(.f64 -1/2 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (sin.f64 x)))
(.f64 (/.f64 (.f64 (-.f64 1/2 (cos.f64 x)) 4) (sin.f64 x)) 1/4)
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 2 (.f64 (-.f64 1/2 (cos.f64 x)) 4)) (/.f64 1 (.f64 2 (*.f64 (sin.f64 x) 4))))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1/4 (sin.f64 x)) (.f64 (-.f64 1/2 (cos.f64 x)) 4))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 1 (sin.f64 x))))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (-.f64 1 (.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 2 (sin.f64 x))))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (.f64 1 (-.f64 1/4 (/.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (sin.f64 x) (-.f64 1/2 (cos.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (sin.f64 x) (-.f64 1 (*.f64 (cos.f64 x) 2))) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 (sin.f64 x) 2))) (/.f64 1/2 (sin.f64 x)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (sin.f64 x) (*.f64 (-.f64 1/2 (cos.f64 x)) 4)) (/.f64 (/.f64 1/4 (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(pow.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)))
(/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 -1/2 (sin.f64 x)) 0)
(/.f64 -1/2 (sin.f64 x))
(+.f64 0 (/.f64 -1/2 (sin.f64 x)))
(/.f64 -1/2 (sin.f64 x))
(+.f64 (/.f64 -1/4 (sin.f64 x)) (/.f64 -1/4 (sin.f64 x)))
(/.f64 -1/2 (sin.f64 x))
(-.f64 (/.f64 -1/2 (sin.f64 x)) 0)
(/.f64 -1/2 (sin.f64 x))
(-.f64 0 (/.f64 1/2 (sin.f64 x)))
(/.f64 -1/2 (sin.f64 x))
(-.f64 (/.f64 -1/4 (sin.f64 x)) (/.f64 1/4 (sin.f64 x)))
(/.f64 -1/2 (sin.f64 x))
(-.f64 (/.f64 -1/4 (sin.f64 x)) (-.f64 0 (/.f64 -1/4 (sin.f64 x))))
(/.f64 -1/2 (sin.f64 x))
(*.f64 1/2 (/.f64 -1 (sin.f64 x)))
(/.f64 -1/2 (sin.f64 x))
(*.f64 -1/2 (/.f64 1 (sin.f64 x)))
(/.f64 -1/2 (sin.f64 x))
(*.f64 (/.f64 -1/2 (sin.f64 x)) 1)
(/.f64 -1/2 (sin.f64 x))
(*.f64 1 (/.f64 -1/2 (sin.f64 x)))
(/.f64 -1/2 (sin.f64 x))
(*.f64 (/.f64 1/2 (sin.f64 x)) -1)
(/.f64 -1/2 (sin.f64 x))
(*.f64 -1 (/.f64 1/2 (sin.f64 x)))
(/.f64 -1/2 (sin.f64 x))
(*.f64 2 (/.f64 -1/4 (sin.f64 x)))
(/.f64 -1/2 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) -1/2)
(/.f64 -1/2 (sin.f64 x))
(*.f64 (/.f64 -1 (sin.f64 x)) 1/2)
(/.f64 -1/2 (sin.f64 x))
(*.f64 -2 (/.f64 1/4 (sin.f64 x)))
(/.f64 -1/2 (sin.f64 x))
(*.f64 (/.f64 -2 (sin.f64 x)) 1/4)
(/.f64 -1/2 (sin.f64 x))
(.f64 -4 (/.f64 1 (.f64 2 (*.f64 (sin.f64 x) 4))))
(/.f64 -1/2 (sin.f64 x))
(*.f64 (/.f64 1/4 (sin.f64 x)) -2)
(/.f64 -1/2 (sin.f64 x))
(pow.f64 (/.f64 -1/2 (sin.f64 x)) 1)
(/.f64 -1/2 (sin.f64 x))

localize88.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 x) (sin.f64 x))
✓	0.2b	(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))
	2.2b	(+.f64 (cos.f64 x) -1)
✓	16.7b	(.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))

Compiler

Compiled 54 to 25 computations (53.7% saved)

series19.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite740.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`rational_best-simplify-78`
822×	`rational_best-2`
822×	`rational_best-1`
820×	`rational_best-4`
820×	`rational_best-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	122	74
2	426	74
3	2019	68

Stop Event

1×	node limit

Counts

2 → 271

Calls

Call 1

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

Outputs

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

simplify1.2s (1.8%)

Algorithm

1×	egg-herbie

Rules

1134×	`rational_best-simplify-108`
720×	`rational_best-simplify-49`
708×	`rational_best-simplify-53`
578×	`rational_best-simplify-3`
508×	`rational_best-simplify-64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	623	10059
1	1869	9345
2	7927	7845

Stop Event

1×	node limit

Counts

295 → 332

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 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 1/2 (pow.f64 x 3))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x 5)))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 1/80 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -17/24192 (pow.f64 x 9)) (+.f64 (.f64 1/80 (pow.f64 x 7)) (.f64 -1/8 (pow.f64 x 5)))))
(.f64 -1 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)))
(.f64 -1 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)))
(.f64 -1 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)))
(.f64 -1 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)))
(.f64 -1 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)))
(.f64 -1 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)))
(.f64 -1 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)))
(.f64 -1 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)))
(+.f64 0 (*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(+.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (/.f64 0 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (neg.f64 (/.f64 0 (/.f64 -1 (sin.f64 x)))))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (neg.f64 (/.f64 (/.f64 0 (sin.f64 x)) (sin.f64 x))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 0 (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 0 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 -2 (sin.f64 x))))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) 0))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 0 (sin.f64 x)) (sin.f64 x))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 (/.f64 0 (sin.f64 x)) (sin.f64 x)) (/.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 0 (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) 0))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 0 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 -2 (sin.f64 x))))) 0))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 0 (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (/.f64 (/.f64 0 (sin.f64 x)) (sin.f64 x))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 0 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 -2 (sin.f64 x))))) (/.f64 (/.f64 0 (sin.f64 x)) (sin.f64 x))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 0 (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (/.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 0 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 -2 (sin.f64 x))))) (/.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 (/.f64 0 (sin.f64 x)) (sin.f64 x)) (/.f64 0 (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 0 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 0 (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (/.f64 0 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 0 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 -2 (sin.f64 x))))) (/.f64 0 (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 (/.f64 0 (sin.f64 x)) (sin.f64 x)) (/.f64 0 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 -2 (sin.f64 x)))))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 0 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 -2 (sin.f64 x)))))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 0 (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (/.f64 0 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 -2 (sin.f64 x)))))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 0 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 -2 (sin.f64 x))))) (/.f64 0 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 -2 (sin.f64 x)))))))
(+.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) -2)) (sin.f64 x))) (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) -2)) (sin.f64 x))))
(+.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) -2)) (sin.f64 x))) (+.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) -2)) (sin.f64 x))) (/.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) -2)) (sin.f64 x))) (+.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) -2)) (sin.f64 x))) (/.f64 0 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))))))
(+.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) -2)) (sin.f64 x))) (+.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) -2)) (sin.f64 x))) (/.f64 0 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 -2 (sin.f64 x)))))))
(+.f64 (/.f64 (/.f64 0 (sin.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (/.f64 -1 (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))
(+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (+.f64 (/.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 -1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))))))
(+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (+.f64 (/.f64 -1 (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (/.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (+.f64 (/.f64 -1 (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (/.f64 0 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))))))
(+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (+.f64 (/.f64 -1 (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (/.f64 0 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 -2 (sin.f64 x)))))))
(+.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (neg.f64 (-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 0 (sin.f64 x)))))
(+.f64 (/.f64 -1 (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))
(+.f64 (/.f64 -1 (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (/.f64 0 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))))))
(+.f64 (/.f64 -1 (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (/.f64 0 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 -2 (sin.f64 x)))))))
(+.f64 (/.f64 (/.f64 0 (/.f64 -1 (sin.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 (/.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) (+.f64 (/.f64 (/.f64 -4 (/.f64 -4 (sin.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) -2)) (sin.f64 x)))))
(+.f64 (/.f64 (/.f64 -4 (/.f64 -4 (sin.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) (+.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) -2)) (sin.f64 x)))))
(+.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 (sin.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) (+.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 (sin.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) -2)) (sin.f64 x)))))
(+.f64 (/.f64 0 (.f64 (sin.f64 x) (/.f64 (neg.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 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 -2 (sin.f64 x))))) (/.f64 (+.f64 (cos.f64 x) -2) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 -2 (sin.f64 x))))))
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(+.f64 (-.f64 (/.f64 (cos.f64 x) (/.f64 -2 (sin.f64 x))) (/.f64 1 (/.f64 -1 (sin.f64 x)))) (-.f64 (/.f64 (cos.f64 x) (/.f64 -2 (sin.f64 x))) (/.f64 0 (/.f64 -1 (sin.f64 x)))))
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) 0)
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (/.f64 0 (/.f64 -1 (sin.f64 x))))
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (neg.f64 (/.f64 0 (/.f64 -1 (sin.f64 x)))))
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (/.f64 (*.f64 (sin.f64 x) (sin.f64 0)) (/.f64 -1 (sin.f64 x))))
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (+.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (neg.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))))))
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (+.f64 (neg.f64 (/.f64 0 (/.f64 -1 (sin.f64 x)))) 0))
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (+.f64 (neg.f64 (/.f64 0 (/.f64 -1 (sin.f64 x)))) (/.f64 0 (/.f64 -1 (sin.f64 x)))))
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (+.f64 (neg.f64 (/.f64 0 (/.f64 -1 (sin.f64 x)))) (neg.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))))))
(-.f64 0 (-.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))))
(-.f64 0 (-.f64 (/.f64 1 (/.f64 -1 (sin.f64 x))) (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x)))))
(-.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x))) (/.f64 1 (/.f64 -1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x))) (neg.f64 (/.f64 -4 (/.f64 -4 (sin.f64 x)))))
(-.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x))) (+.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (neg.f64 (/.f64 -4 (/.f64 -4 (sin.f64 x))))))
(-.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x))) (+.f64 (neg.f64 (/.f64 0 (/.f64 -1 (sin.f64 x)))) (/.f64 1 (/.f64 -1 (sin.f64 x)))))
(-.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x))) (+.f64 (neg.f64 (/.f64 0 (/.f64 -1 (sin.f64 x)))) (neg.f64 (/.f64 -4 (/.f64 -4 (sin.f64 x))))))
(-.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x))) (+.f64 (/.f64 1 (/.f64 -1 (sin.f64 x))) (neg.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))))))
(-.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x))) (+.f64 (/.f64 1 (/.f64 -1 (sin.f64 x))) (/.f64 (*.f64 (sin.f64 x) (sin.f64 0)) (/.f64 -1 (sin.f64 x)))))
(-.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x))) (+.f64 (neg.f64 (/.f64 -4 (/.f64 -4 (sin.f64 x)))) 0))
(-.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x))) (+.f64 (neg.f64 (/.f64 -4 (/.f64 -4 (sin.f64 x)))) (/.f64 0 (/.f64 -1 (sin.f64 x)))))
(-.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x))) (+.f64 (neg.f64 (/.f64 -4 (/.f64 -4 (sin.f64 x)))) (neg.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))))))
(-.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x))) (+.f64 (neg.f64 (/.f64 -4 (/.f64 -4 (sin.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (sin.f64 0)) (/.f64 -1 (sin.f64 x)))))
(-.f64 (/.f64 -4 (/.f64 -4 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x)))))
(-.f64 (/.f64 -4 (/.f64 -4 (sin.f64 x))) (+.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x))))))
(-.f64 (/.f64 -4 (/.f64 -4 (sin.f64 x))) (+.f64 (neg.f64 (/.f64 0 (/.f64 -1 (sin.f64 x)))) (neg.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x))))))
(-.f64 (/.f64 -4 (/.f64 -4 (sin.f64 x))) (+.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x)))) 0))
(-.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))))
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 -2 (sin.f64 x))))
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 (sin.f64 x))) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 -2 (sin.f64 x))) (/.f64 0 (/.f64 -1 (sin.f64 x)))))
(-.f64 (/.f64 (cos.f64 x) (/.f64 -2 (sin.f64 x))) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 -2 (sin.f64 x))) (/.f64 1 (/.f64 -2 (sin.f64 x)))))
(-.f64 (/.f64 (cos.f64 x) (/.f64 -2 (sin.f64 x))) (-.f64 (/.f64 1 (/.f64 -1 (sin.f64 x))) (/.f64 (cos.f64 x) (/.f64 -2 (sin.f64 x)))))
(-.f64 (-.f64 (/.f64 -4 (/.f64 -4 (sin.f64 x))) (/.f64 0 (/.f64 -1 (sin.f64 x)))) (neg.f64 (/.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x)))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (/.f64 -2 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 -2 (sin.f64 x)))) (/.f64 1 (/.f64 -2 (sin.f64 x))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (/.f64 -2 (sin.f64 x))) (/.f64 0 (/.f64 -1 (sin.f64 x)))) (-.f64 (/.f64 1 (/.f64 -1 (sin.f64 x))) (/.f64 (cos.f64 x) (/.f64 -2 (sin.f64 x)))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (/.f64 -2 (sin.f64 x))) (/.f64 1 (/.f64 -1 (sin.f64 x)))) (-.f64 0 (/.f64 (cos.f64 x) (/.f64 -2 (sin.f64 x)))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (/.f64 -2 (sin.f64 x))) (/.f64 1 (/.f64 -1 (sin.f64 x)))) (-.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (/.f64 (cos.f64 x) (/.f64 -2 (sin.f64 x)))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (/.f64 -1 (sin.f64 x))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) 1)
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (/.f64 1 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))))
(*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))))
(*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 (sin.f64 x))))
(.f64 (+.f64 -2 (.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 -2 (sin.f64 x))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) 2))
(*.f64 (/.f64 1 (/.f64 -1 (sin.f64 x))) (+.f64 (cos.f64 x) -1))
(.f64 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) 2) 1/2)
(.f64 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) 2) (/.f64 1 (/.f64 (*.f64 (sin.f64 x) -2) (neg.f64 (sin.f64 x)))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 1 (/.f64 -4 (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 -2 (sin.f64 x))) (+.f64 -2 (.f64 (cos.f64 x) 2)))
(.f64 (/.f64 1 (/.f64 -4 (sin.f64 x))) (.f64 (+.f64 (cos.f64 x) -1) 4))
(.f64 (.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 4)) (/.f64 1 (/.f64 -8 (sin.f64 x))))
(.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 -1 (sin.f64 x))) 1/4)
(.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 -1 (sin.f64 x))) (/.f64 1 (/.f64 (*.f64 (sin.f64 x) -4) (neg.f64 (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (/.f64 -1 (sin.f64 x))) (/.f64 1 (/.f64 1 (/.f64 -1 (sin.f64 x)))))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) 2) (/.f64 -1 (sin.f64 x))) (/.f64 1 (/.f64 2 (/.f64 -1 (sin.f64 x)))))
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (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 1/24 (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 1/24 (pow.f64 x 3)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7))) (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5))))
(*.f64 -1 (/.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)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 -1 (/.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)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 -1 (/.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)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 -1 (/.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)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 -1 (/.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)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 -1 (/.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)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 -1 (/.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)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 -1 (/.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)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1/2 (pow.f64 x 3))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x 5)))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 (pow.f64 x 5) -1/8))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 1/80 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 x 5) -1/8) (*.f64 (pow.f64 x 7) 1/80)))
(+.f64 (.f64 (pow.f64 x 5) -1/8) (+.f64 (.f64 1/2 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) 1/80)))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -17/24192 (pow.f64 x 9)) (+.f64 (.f64 1/80 (pow.f64 x 7)) (.f64 -1/8 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 x 5) -1/8) (+.f64 (.f64 (pow.f64 x 7) 1/80) (.f64 -17/24192 (pow.f64 x 9)))))
(.f64 -1 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (+.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 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (+.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 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (+.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 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (+.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 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (+.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 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (+.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 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (+.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 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 0 (*.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)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (/.f64 0 (sin.f64 x)) (sin.f64 x)))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (neg.f64 (/.f64 0 (/.f64 -1 (sin.f64 x)))))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (neg.f64 (/.f64 (/.f64 0 (sin.f64 x)) (sin.f64 x))))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (/.f64 0 (/.f64 -1 (sin.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)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 0 (.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 0 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 -2 (sin.f64 x))))))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) 0))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 (/.f64 (/.f64 0 (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 0 (sin.f64 x)) (sin.f64 x))))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
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(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) 2) (/.f64 1 (/.f64 (*.f64 (sin.f64 x) -2) (neg.f64 (sin.f64 x)))))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 1 (/.f64 -4 (sin.f64 x))))
(.f64 1 (/.f64 (.f64 (+.f64 -1 (cos.f64 x)) 4) (/.f64 -4 (sin.f64 x))))
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (/.f64 -4 (sin.f64 x)))
(.f64 (/.f64 1 (/.f64 -2 (sin.f64 x))) (+.f64 -2 (.f64 (cos.f64 x) 2)))
(/.f64 (+.f64 -1 (+.f64 -1 (*.f64 (cos.f64 x) 2))) (/.f64 -2 (sin.f64 x)))
(/.f64 (+.f64 -2 (*.f64 (cos.f64 x) 2)) (/.f64 -2 (sin.f64 x)))
(.f64 (/.f64 1 (/.f64 -4 (sin.f64 x))) (.f64 (+.f64 (cos.f64 x) -1) 4))
(.f64 1 (/.f64 (.f64 (+.f64 -1 (cos.f64 x)) 4) (/.f64 -4 (sin.f64 x))))
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (/.f64 -4 (sin.f64 x)))
(.f64 (.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 4)) (/.f64 1 (/.f64 -8 (sin.f64 x))))
(.f64 1 (/.f64 (.f64 (+.f64 -1 (cos.f64 x)) 4) (/.f64 -4 (sin.f64 x))))
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (/.f64 -4 (sin.f64 x)))
(.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 -1 (sin.f64 x))) 1/4)
(.f64 (/.f64 (.f64 (+.f64 -1 (cos.f64 x)) 4) (/.f64 -1 (sin.f64 x))) 1/4)
(.f64 (.f64 (+.f64 -1 (cos.f64 x)) 4) (/.f64 1/4 (/.f64 -1 (sin.f64 x))))
(.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 -1 (sin.f64 x))) (/.f64 1 (/.f64 (*.f64 (sin.f64 x) -4) (neg.f64 (sin.f64 x)))))
(.f64 (/.f64 (.f64 (+.f64 -1 (cos.f64 x)) 4) (/.f64 -1 (sin.f64 x))) 1/4)
(.f64 (.f64 (+.f64 -1 (cos.f64 x)) 4) (/.f64 1/4 (/.f64 -1 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (/.f64 -1 (sin.f64 x))) (/.f64 1 (/.f64 1 (/.f64 -1 (sin.f64 x)))))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) 2) (/.f64 -1 (sin.f64 x))) (/.f64 1 (/.f64 2 (/.f64 -1 (sin.f64 x)))))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) 1)
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))

eval3.1s (4.6%)

Compiler: Compiled 21967 to 13080 computations (40.5% saved)

prune2.7s (4.1%)

Pruning

50 alts after pruning (40 fresh and 10 done)

	Pruned	Kept	Total
New	1103	14	1117
Fresh	3	26	29
Picked	1	0	1
Done	2	10	12
Total	1109	50	1159

Error

0.1b

Counts

1159 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	32.3b	(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 x) (+.f64 (-.f64 (cos.f64 (neg.f64 x)) -2) (/.f64 (cos.f64 x) -1/2))) 2) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 -1 (sin.f64 x)))
	31.0b	(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
	32.1b	(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
	32.1b	(/.f64 (-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 -1 (sin.f64 x)))
	31.1b	(/.f64 (-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) -4)))) (sin.f64 x))
	31.0b	(/.f64 (-.f64 (/.f64 (cos.f64 x) -4) (-.f64 -1 (*.f64 (cos.f64 x) -3/4))) (sin.f64 x))
	31.1b	(/.f64 (-.f64 (+.f64 2 (neg.f64 (cos.f64 x))) (cos.f64 x)) (*.f64 (sin.f64 x) 2))
	31.0b	(/.f64 (-.f64 (+.f64 1/2 (-.f64 1 (cos.f64 x))) 1/2) (sin.f64 x))
✓	30.9b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	30.9b	(/.f64 (-.f64 1/2 (+.f64 -1/2 (cos.f64 x))) (sin.f64 x))
	31.0b	(/.f64 (+.f64 (-.f64 (+.f64 2 (.f64 (cos.f64 x) -1/2)) (cos.f64 x)) (-.f64 (.f64 (cos.f64 x) -1/2) (-.f64 -2 (.f64 (cos.f64 x) -2)))) (.f64 4 (sin.f64 x)))
	32.8b	(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (-.f64 1 (cos.f64 (+.f64 x x))))) (/.f64 -1 (sin.f64 x)))
	32.8b	(/.f64 (.f64 (+.f64 -1 (cos.f64 x)) (.f64 (sin.f64 x) -2)) (-.f64 1 (cos.f64 (+.f64 x x))))
✓	25.2b	(/.f64 -1/2 (/.f64 -1 (sin.f64 x)))
	30.3b	(/.f64 -1/2 (/.f64 -1 x))
	30.2b	(/.f64 -1/2 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
	31.0b	(-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (-.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (*.f64 (sin.f64 x) -2)) (/.f64 3/8 (sin.f64 x))))
	31.0b	(-.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 x) 3/4)) (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 4) (sin.f64 x)))
✓	31.0b	(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (/.f64 -1/2 (sin.f64 x)))
	31.1b	(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
	56.3b	(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 x))
	31.0b	(-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -3/4) (sin.f64 x)))
	31.8b	(-.f64 (/.f64 1/4 (sin.f64 x)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 -3/4 (sin.f64 x))))
	60.9b	(-.f64 (-.f64 (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) -1) (.f64 x 1/2))
	60.4b	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) 1) -1)
	31.7b	(-.f64 (-.f64 (.f64 x 8) (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24))) (.f64 x 5))) (.f64 x 1/2))
	31.8b	(-.f64 (-.f64 (.f64 x 6) (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 5))) (.f64 x 1/2))
	31.1b	(-.f64 (-.f64 -1 (/.f64 (/.f64 (-.f64 (cos.f64 x) (+.f64 (-.f64 (cos.f64 (neg.f64 x)) -2) (/.f64 (cos.f64 x) -1/2))) 2) (sin.f64 x))) -1)
✓	31.0b	(-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
	60.9b	(-.f64 (+.f64 (/.f64 x -1/2) (+.f64 (-.f64 (.f64 x 4) (+.f64 (.f64 (pow.f64 x 3) -1/24) 1)) (-.f64 1 x))) (*.f64 x 1/2))
	30.9b	(-.f64 (+.f64 (/.f64 x -1/2) (.f64 x 3)) (.f64 x 1/2))
	31.0b	(-.f64 (+.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (/.f64 x 2)) x) x)
✓	30.6b	(-.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) (.f64 x 1/2))
✓	61.2b	(-.f64 -1 -1)
	56.4b	(+.f64 (/.f64 x 8) (+.f64 1/4 (-.f64 (/.f64 x 4) (-.f64 1/4 (/.f64 x 8)))))
✓	31.0b	(+.f64 (/.f64 3/4 (sin.f64 x)) (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)))
	56.1b	(+.f64 (/.f64 3/4 (sin.f64 x)) (/.f64 -3/4 x))
	31.0b	(+.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 3/2) (sin.f64 x)))
	30.6b	(+.f64 (-.f64 x (/.f64 x 4)) (/.f64 x -4))
	30.9b	(+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
	60.4b	(+.f64 (-.f64 1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) (-.f64 -1 (.f64 x 1/2)))
	60.0b	(+.f64 (-.f64 -1 (-.f64 1 (*.f64 1/2 x))) 2)
	31.0b	(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -2) 2)
	31.4b	(+.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) (*.f64 (+.f64 x x) -5/4))
	60.0b	(+.f64 (+.f64 (*.f64 1/2 x) 2) -2)
	30.6b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
✓	30.6b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
	31.0b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	25.1b	(*.f64 1/2 (sin.f64 x))
✓	30.3b	(*.f64 1/2 x)

Compiler

Compiled 703 to 522 computations (25.7% saved)

regimes975.0ms (1.5%)

Counts

72 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(-.f64 -1 -1)
(/.f64 -1/2 (/.f64 -1 x))
(+.f64 (+.f64 (*.f64 1/2 x) 2) -2)
(-.f64 (-.f64 (*.f64 1/2 x) 1) -1)
(+.f64 (-.f64 -1 (-.f64 1 (*.f64 1/2 x))) 2)
(+.f64 (-.f64 x (/.f64 x 4)) (/.f64 x -4))
(/.f64 -1/2 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 x -1/2) (.f64 x 3)) (.f64 x 1/2))
(+.f64 (/.f64 x 8) (+.f64 1/4 (-.f64 (/.f64 x 4) (-.f64 1/4 (/.f64 x 8)))))
(*.f64 1/2 (sin.f64 x))
(/.f64 -1/2 (/.f64 -1 (sin.f64 x)))
(+.f64 (/.f64 3/4 (sin.f64 x)) (/.f64 -3/4 x))
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(-.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) (.f64 x 1/2))
(-.f64 (+.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (/.f64 x 2)) x) x)
(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) 1) -1)
(+.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) (*.f64 (+.f64 x x) -5/4))
(+.f64 (-.f64 1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) (-.f64 -1 (.f64 x 1/2)))
(+.f64 (/.f64 x -4) (+.f64 (/.f64 x -4) (+.f64 x (*.f64 1/24 (pow.f64 x 3)))))
(-.f64 (-.f64 (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) -1) (.f64 x 1/2))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (-.f64 (.f64 1/2 x) (/.f64 x -4)) (/.f64 x -4)))
(-.f64 (-.f64 (.f64 x 6) (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 5))) (.f64 x 1/2))
(-.f64 (+.f64 (/.f64 x -1/2) (-.f64 (.f64 x 4) (+.f64 x (.f64 (pow.f64 x 3) -1/24)))) (*.f64 x 1/2))
(-.f64 (-.f64 (.f64 x 8) (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24))) (.f64 x 5))) (.f64 x 1/2))
(-.f64 (+.f64 (/.f64 x -1/2) (+.f64 (-.f64 (.f64 x 4) (+.f64 (.f64 (pow.f64 x 3) -1/24) 1)) (-.f64 1 x))) (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1/2 (+.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -2) 2)
(+.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 1/2 (-.f64 1 (cos.f64 x))) 1/2) (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 x 1/2) (+.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 3/4 (sin.f64 x)) (/.f64 (-.f64 1/4 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -3/4) (sin.f64 x)))
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (/.f64 -1/2 (sin.f64 x)))
(+.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 3/2) (sin.f64 x)))
(/.f64 (-.f64 (+.f64 2 (neg.f64 (cos.f64 x))) (cos.f64 x)) (*.f64 (sin.f64 x) 2))
(+.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (-.f64 1/4 (+.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (-.f64 (/.f64 (cos.f64 x) -4) (-.f64 -1 (*.f64 (cos.f64 x) -3/4))) (sin.f64 x))
(/.f64 (+.f64 (-.f64 1 (/.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (cos.f64 x) 2))) (sin.f64 x))
(/.f64 (.f64 (+.f64 -1 (cos.f64 x)) (.f64 (sin.f64 x) -2)) (-.f64 1 (cos.f64 (+.f64 x x))))
(/.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))) (-.f64 1 (cos.f64 (+.f64 x x))))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (-.f64 1 (cos.f64 (+.f64 x x))))) (/.f64 -1 (sin.f64 x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 1/4 (sin.f64 x)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 -3/4 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 -1 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 x) 3/4)) (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 4) (sin.f64 x)))
(-.f64 (/.f64 (+.f64 2 (neg.f64 (cos.f64 x))) (.f64 (sin.f64 x) 2)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 2 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) 2)) (/.f64 1 (/.f64 2 (sin.f64 x))))
(/.f64 (-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) -4)))) (sin.f64 x))
(-.f64 (-.f64 -1 (/.f64 (/.f64 (-.f64 (cos.f64 x) (+.f64 (-.f64 (cos.f64 (neg.f64 x)) -2) (/.f64 (cos.f64 x) -1/2))) 2) (sin.f64 x))) -1)
(-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (-.f64 (/.f64 (-.f64 1/4 (cos.f64 x)) (*.f64 (sin.f64 x) -2)) (/.f64 3/8 (sin.f64 x))))
(/.f64 (+.f64 (-.f64 (+.f64 2 (.f64 (cos.f64 x) -1/2)) (cos.f64 x)) (-.f64 (.f64 (cos.f64 x) -1/2) (-.f64 -2 (.f64 (cos.f64 x) -2)))) (.f64 4 (sin.f64 x)))
(/.f64 (-.f64 (/.f64 (+.f64 2 (-.f64 1 (cos.f64 x))) (.f64 2 (sin.f64 x))) (/.f64 (-.f64 (cos.f64 x) (-.f64 1 (.f64 2 (cos.f64 x)))) (*.f64 2 (sin.f64 x)))) 2)
(-.f64 (/.f64 (/.f64 (+.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2)) 2) (/.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) 2))
(+.f64 (/.f64 (-.f64 1 (.f64 (.f64 (cos.f64 x) 1/2) 3)) (.f64 (sin.f64 x) 4)) (/.f64 (+.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (.f64 2 (-.f64 1 (cos.f64 x)))) (.f64 (sin.f64 x) 4)))
(/.f64 (-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 -1 (sin.f64 x)))
(-.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4) (-.f64 (/.f64 (+.f64 (*.f64 1/2 (cos.f64 x)) -1) (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4)))
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 x) (+.f64 (-.f64 (cos.f64 (neg.f64 x)) -2) (/.f64 (cos.f64 x) -1/2))) 2) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 -1 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (-.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) 2) 1/2))) (/.f64 -1 (sin.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 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)

Calls

2 calls:

454.0ms	x
437.0ms	(/.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 1070 to 655 computations (38.8% saved)

bsearch10.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.607229680819143e-5	0.006498434993627756
9.0ms	-0.047937788322878296	-0.0013386459768851059

Compiler

Compiled 12 to 9 computations (25% saved)

regimes353.0ms (0.5%)

Counts

34 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(-.f64 -1 -1)
(/.f64 -1/2 (/.f64 -1 x))
(+.f64 (+.f64 (*.f64 1/2 x) 2) -2)
(-.f64 (-.f64 (*.f64 1/2 x) 1) -1)
(+.f64 (-.f64 -1 (-.f64 1 (*.f64 1/2 x))) 2)
(+.f64 (-.f64 x (/.f64 x 4)) (/.f64 x -4))
(/.f64 -1/2 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 x -1/2) (.f64 x 3)) (.f64 x 1/2))
(+.f64 (/.f64 x 8) (+.f64 1/4 (-.f64 (/.f64 x 4) (-.f64 1/4 (/.f64 x 8)))))
(*.f64 1/2 (sin.f64 x))
(/.f64 -1/2 (/.f64 -1 (sin.f64 x)))
(+.f64 (/.f64 3/4 (sin.f64 x)) (/.f64 -3/4 x))
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(-.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) (.f64 x 1/2))
(-.f64 (+.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (/.f64 x 2)) x) x)
(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) 1) -1)
(+.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) (*.f64 (+.f64 x x) -5/4))
(+.f64 (-.f64 1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) (-.f64 -1 (.f64 x 1/2)))
(+.f64 (/.f64 x -4) (+.f64 (/.f64 x -4) (+.f64 x (*.f64 1/24 (pow.f64 x 3)))))
(-.f64 (-.f64 (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) -1) (.f64 x 1/2))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (-.f64 (.f64 1/2 x) (/.f64 x -4)) (/.f64 x -4)))
(-.f64 (-.f64 (.f64 x 6) (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 5))) (.f64 x 1/2))
(-.f64 (+.f64 (/.f64 x -1/2) (-.f64 (.f64 x 4) (+.f64 x (.f64 (pow.f64 x 3) -1/24)))) (*.f64 x 1/2))
(-.f64 (-.f64 (.f64 x 8) (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24))) (.f64 x 5))) (.f64 x 1/2))
(-.f64 (+.f64 (/.f64 x -1/2) (+.f64 (-.f64 (.f64 x 4) (+.f64 (.f64 (pow.f64 x 3) -1/24) 1)) (-.f64 1 x))) (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1/2 (+.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -2) 2)
(+.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 1/2 (-.f64 1 (cos.f64 x))) 1/2) (sin.f64 x))

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

Calls

2 calls:

178.0ms	x
136.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

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

Compiler

Compiled 387 to 283 computations (26.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.607229680819143e-5	0.006498434993627756
0.0ms	-0.047937788322878296	-0.0013386459768851059

Compiler

Compiled 12 to 9 computations (25% saved)

regimes419.0ms (0.6%)

Counts

32 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(-.f64 -1 -1)
(/.f64 -1/2 (/.f64 -1 x))
(+.f64 (+.f64 (*.f64 1/2 x) 2) -2)
(-.f64 (-.f64 (*.f64 1/2 x) 1) -1)
(+.f64 (-.f64 -1 (-.f64 1 (*.f64 1/2 x))) 2)
(+.f64 (-.f64 x (/.f64 x 4)) (/.f64 x -4))
(/.f64 -1/2 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 x -1/2) (.f64 x 3)) (.f64 x 1/2))
(+.f64 (/.f64 x 8) (+.f64 1/4 (-.f64 (/.f64 x 4) (-.f64 1/4 (/.f64 x 8)))))
(*.f64 1/2 (sin.f64 x))
(/.f64 -1/2 (/.f64 -1 (sin.f64 x)))
(+.f64 (/.f64 3/4 (sin.f64 x)) (/.f64 -3/4 x))
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(-.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) (.f64 x 1/2))
(-.f64 (+.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (/.f64 x 2)) x) x)
(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) 1) -1)
(+.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) (*.f64 (+.f64 x x) -5/4))
(+.f64 (-.f64 1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) (-.f64 -1 (.f64 x 1/2)))
(+.f64 (/.f64 x -4) (+.f64 (/.f64 x -4) (+.f64 x (*.f64 1/24 (pow.f64 x 3)))))
(-.f64 (-.f64 (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) -1) (.f64 x 1/2))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (-.f64 (.f64 1/2 x) (/.f64 x -4)) (/.f64 x -4)))
(-.f64 (-.f64 (.f64 x 6) (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 5))) (.f64 x 1/2))
(-.f64 (+.f64 (/.f64 x -1/2) (-.f64 (.f64 x 4) (+.f64 x (.f64 (pow.f64 x 3) -1/24)))) (*.f64 x 1/2))
(-.f64 (-.f64 (.f64 x 8) (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24))) (.f64 x 5))) (.f64 x 1/2))
(-.f64 (+.f64 (/.f64 x -1/2) (+.f64 (-.f64 (.f64 x 4) (+.f64 (.f64 (pow.f64 x 3) -1/24) 1)) (-.f64 1 x))) (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1/2 (+.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -2) 2)
(+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)

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

Calls

2 calls:

249.0ms	x
137.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

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

Compiler

Compiled 365 to 269 computations (26.3% saved)

bsearch459.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
394.0ms	5.214459153944308e-5	0.21823971072270407
65.0ms	-2.507614962719187	-0.002677290354595183

Results

429.0ms

256×

body

256

valid

Compiler

Compiled 364 to 297 computations (18.4% saved)

regimes555.0ms (0.8%)

Counts

31 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(-.f64 -1 -1)
(/.f64 -1/2 (/.f64 -1 x))
(+.f64 (+.f64 (*.f64 1/2 x) 2) -2)
(-.f64 (-.f64 (*.f64 1/2 x) 1) -1)
(+.f64 (-.f64 -1 (-.f64 1 (*.f64 1/2 x))) 2)
(+.f64 (-.f64 x (/.f64 x 4)) (/.f64 x -4))
(/.f64 -1/2 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 x -1/2) (.f64 x 3)) (.f64 x 1/2))
(+.f64 (/.f64 x 8) (+.f64 1/4 (-.f64 (/.f64 x 4) (-.f64 1/4 (/.f64 x 8)))))
(*.f64 1/2 (sin.f64 x))
(/.f64 -1/2 (/.f64 -1 (sin.f64 x)))
(+.f64 (/.f64 3/4 (sin.f64 x)) (/.f64 -3/4 x))
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(-.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) (.f64 x 1/2))
(-.f64 (+.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (/.f64 x 2)) x) x)
(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) 1) -1)
(+.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) (*.f64 (+.f64 x x) -5/4))
(+.f64 (-.f64 1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) (-.f64 -1 (.f64 x 1/2)))
(+.f64 (/.f64 x -4) (+.f64 (/.f64 x -4) (+.f64 x (*.f64 1/24 (pow.f64 x 3)))))
(-.f64 (-.f64 (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) -1) (.f64 x 1/2))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (-.f64 (.f64 1/2 x) (/.f64 x -4)) (/.f64 x -4)))
(-.f64 (-.f64 (.f64 x 6) (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 5))) (.f64 x 1/2))
(-.f64 (+.f64 (/.f64 x -1/2) (-.f64 (.f64 x 4) (+.f64 x (.f64 (pow.f64 x 3) -1/24)))) (*.f64 x 1/2))
(-.f64 (-.f64 (.f64 x 8) (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24))) (.f64 x 5))) (.f64 x 1/2))
(-.f64 (+.f64 (/.f64 x -1/2) (+.f64 (-.f64 (.f64 x 4) (+.f64 (.f64 (pow.f64 x 3) -1/24) 1)) (-.f64 1 x))) (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1/2 (+.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -2) 2)

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:

425.0ms	x
103.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

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

Compiler

Compiled 354 to 262 computations (26% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.607229680819143e-5	0.006498434993627756
0.0ms	-0.047937788322878296	-0.0013386459768851059

Compiler

Compiled 12 to 9 computations (25% saved)

regimes118.0ms (0.2%)

Counts

27 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(-.f64 -1 -1)
(/.f64 -1/2 (/.f64 -1 x))
(+.f64 (+.f64 (*.f64 1/2 x) 2) -2)
(-.f64 (-.f64 (*.f64 1/2 x) 1) -1)
(+.f64 (-.f64 -1 (-.f64 1 (*.f64 1/2 x))) 2)
(+.f64 (-.f64 x (/.f64 x 4)) (/.f64 x -4))
(/.f64 -1/2 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 x -1/2) (.f64 x 3)) (.f64 x 1/2))
(+.f64 (/.f64 x 8) (+.f64 1/4 (-.f64 (/.f64 x 4) (-.f64 1/4 (/.f64 x 8)))))
(*.f64 1/2 (sin.f64 x))
(/.f64 -1/2 (/.f64 -1 (sin.f64 x)))
(+.f64 (/.f64 3/4 (sin.f64 x)) (/.f64 -3/4 x))
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(-.f64 (+.f64 x (.f64 1/24 (pow.f64 x 3))) (.f64 x 1/2))
(-.f64 (+.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (/.f64 x 2)) x) x)
(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) 1) -1)
(+.f64 (+.f64 (.f64 x 3) (.f64 (pow.f64 x 3) 1/24)) (*.f64 (+.f64 x x) -5/4))
(+.f64 (-.f64 1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) (-.f64 -1 (.f64 x 1/2)))
(+.f64 (/.f64 x -4) (+.f64 (/.f64 x -4) (+.f64 x (*.f64 1/24 (pow.f64 x 3)))))
(-.f64 (-.f64 (-.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/24) x)) -1) (.f64 x 1/2))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (-.f64 (.f64 1/2 x) (/.f64 x -4)) (/.f64 x -4)))
(-.f64 (-.f64 (.f64 x 6) (+.f64 (.f64 (pow.f64 x 3) -1/24) (.f64 x 5))) (.f64 x 1/2))
(-.f64 (+.f64 (/.f64 x -1/2) (-.f64 (.f64 x 4) (+.f64 x (.f64 (pow.f64 x 3) -1/24)))) (*.f64 x 1/2))
(-.f64 (-.f64 (.f64 x 8) (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/24))) (.f64 x 5))) (.f64 x 1/2))
(-.f64 (+.f64 (/.f64 x -1/2) (+.f64 (-.f64 (.f64 x 4) (+.f64 (.f64 (pow.f64 x 3) -1/24) 1)) (-.f64 1 x))) (*.f64 x 1/2))

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

Calls

1 calls:

60.0ms

Results

Error	Segments	Branch
25.1b	1	`x`

Compiler

Compiled 310 to 235 computations (24.2% saved)

regimes64.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(-.f64 -1 -1)
(/.f64 -1/2 (/.f64 -1 x))
(+.f64 (+.f64 (*.f64 1/2 x) 2) -2)
(-.f64 (-.f64 (*.f64 1/2 x) 1) -1)
(+.f64 (-.f64 -1 (-.f64 1 (*.f64 1/2 x))) 2)
(+.f64 (-.f64 x (/.f64 x 4)) (/.f64 x -4))
(/.f64 -1/2 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 x -1/2) (.f64 x 3)) (.f64 x 1/2))
(+.f64 (/.f64 x 8) (+.f64 1/4 (-.f64 (/.f64 x 4) (-.f64 1/4 (/.f64 x 8)))))

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

Calls

1 calls:

59.0ms

Results

Error	Segments	Branch
30.2b	1	`x`

Compiler

Compiled 81 to 64 computations (21% saved)

regimes37.0ms (0.1%)

Accuracy

Total -31.2b remaining (-103.1%)

Threshold costs -31.2b (-103.1%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(*.f64 1/2 x)

Calls

1 calls:

33.0ms

Results

Error	Segments	Branch
30.3b	1	`x`

Compiler

Compiled 46 to 37 computations (19.6% saved)

simplify36.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	557

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/144115188075855872) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 7378697629483821/147573952589676412928) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/144115188075855872) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 7378697629483821/147573952589676412928) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))
(if (<=.f64 x -5188146770730811/1152921504606846976) (+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1) (if (<=.f64 x 2132904783522667/576460752303423488) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/144115188075855872) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 7378697629483821/147573952589676412928) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 1/2 (sin.f64 x))
(/.f64 -1/2 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
(*.f64 1/2 x)

Outputs
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/144115188075855872) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 7378697629483821/147573952589676412928) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/144115188075855872) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 7378697629483821/147573952589676412928) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))
(if (<=.f64 x -5188146770730811/1152921504606846976) (+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1) (if (<=.f64 x 2132904783522667/576460752303423488) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/144115188075855872) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 7378697629483821/147573952589676412928) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 1/2 (sin.f64 x))
(/.f64 -1/2 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
(*.f64 1/2 x)

Compiler

Compiled 201 to 138 computations (31.3% saved)

soundness390.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

948×	`rational_best-simplify-67`
910×	`rational_best-simplify-47`
760×	`rational_best-simplify-64`
744×	`rational_best-simplify-54`
580×	`rational_best-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	258	2929
1	658	2473
2	2080	2473

Stop Event

1×	node limit

Compiler

Compiled 31 to 25 computations (19.4% saved)

end479.0ms (0.7%)

Compiler: Compiled 195 to 125 computations (35.9% saved)