Details

analyze408.0ms (2.5%)

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)

sample7.4s (46%)

Results

3.5s	2052×	body	2048	valid
2.5s	3146×	body	1024	valid
896.0ms	1545×	body	512	valid
274.0ms	1414×	body	256	valid
202.0ms	99×	body	4096	valid

Bogosity

preprocess67.0ms (0.4%)

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)

simplify86.0ms (0.5%)

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))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

32.5b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.1%)

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)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite101.0ms (0.6%)

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)))))))

simplify78.0ms (0.5%)

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))

eval31.0ms (0.2%)

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

prune30.0ms (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
✓	32.5b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶	32.5b	(/.f64 (+.f64 (-.f64 1 (/.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (cos.f64 x) 2))) (sin.f64 x))
	32.6b	(-.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))
	32.6b	(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
	32.5b	(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) 2)))
▶	32.5b	(-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
	32.5b	(+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
	29.6b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
▶	29.5b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
	32.6b	(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) 2)) (/.f64 1 (/.f64 2 (sin.f64 x))))
	33.9b	(.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
▶	33.8b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 1 (sin.f64 x))))
	33.8b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
	32.5b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
▶	28.9b	(*.f64 1/2 x)

Compiler

Compiled 424 to 306 computations (27.8% saved)

localize3.0ms (0%)

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

localize10.0ms (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)

series3.0ms (0%)

Counts

2 → 3

Calls

6 calls:

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

rewrite140.0ms (0.9%)

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

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

simplify79.0ms (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)))
(-.f64 (.f64 1/2 x) (+.f64 (.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 (.f64 (pow.f64 x 3) -1/12) x) 4) (-.f64 (-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)) (/.f64 (-.f64 (.f64 (pow.f64 x 3) -1/12) x) 4)))
(-.f64 0 (+.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 0 (+.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))
(-.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 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 (pow.f64 x 3) -1/24) (-.f64 (.f64 x -1/2) (*.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))
(-.f64 (+.f64 x x) (+.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/24)) 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))
(-.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/12)) (-.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 (pow.f64 x 3) 1/12) (+.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 (.f64 x 1/2) (.f64 (pow.f64 x 3) 1/12)) (*.f64 1/24 (pow.f64 x 3)))
(-.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) 1/12)) (+.f64 (/.f64 x -4) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (/.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 x (.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 (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 x (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)))
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(/.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))

localize15.0ms (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)))
✓	1.5b	(-.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)

series4.0ms (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)
0.0ms	x	@	inf	(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
0.0ms	x	@	-inf	(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))

rewrite150.0ms (0.9%)

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

simplify162.0ms (1%)

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

localize20.0ms (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)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite81.0ms (0.5%)

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 (*.f64 (cos.f64 x) -1/2)) (-.f64 (neg.f64 (cos.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 0)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (cos.f64 x) 1/2) 0))))) (#(struct:change #<rule 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simplify153.0ms (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))
(/.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 (pow.f64 x 2) 1/4))
(+.f64 1/2 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 4) -1/48)))
(+.f64 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/4)) (.f64 (pow.f64 x 4) -1/48))
(+.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 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 (.f64 (pow.f64 x 4) -1/48) (*.f64 (pow.f64 x 6) 1/1440))))
(+.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 (+.f64 (.f64 (pow.f64 x 4) -1/48) (*.f64 (pow.f64 x 6) 1/1440)) 1/2))
(-.f64 1 (*.f64 1/2 (cos.f64 x)))
(+.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 1 (*.f64 1/2 (cos.f64 x)))
(+.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 1 (*.f64 1/2 (cos.f64 x)))
(+.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 1 (*.f64 1/2 (cos.f64 x)))
(+.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 1 (cos.f64 x))
(-.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (.f64 (cos.f64 x) 1/2))
(-.f64 1 (cos.f64 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)))
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (+.f64 (+.f64 (cos.f64 x) -1) (+.f64 1 (.f64 (cos.f64 x) -1/2))))
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (neg.f64 (-.f64 1 (+.f64 1 (.f64 (cos.f64 x) 1/2)))))
(-.f64 1 (cos.f64 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))
(-.f64 1 (cos.f64 x))
(-.f64 (.f64 (cos.f64 x) -1/2) (+.f64 (.f64 (cos.f64 x) 1/2) -1))
(-.f64 1 (cos.f64 x))
(-.f64 (.f64 (cos.f64 x) -1/2) (-.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (-.f64 (neg.f64 (cos.f64 x)) -2)))
(-.f64 1 (cos.f64 x))
(-.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 1 (cos.f64 x))
(-.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 1 (cos.f64 x))
(-.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 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 0))))
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 0)) -2))
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (cos.f64 x) 1/2) 0))
(-.f64 1 (cos.f64 x))
(-.f64 0 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(-.f64 0 (+.f64 (+.f64 (.f64 (cos.f64 x) -1/2) (+.f64 (.f64 (cos.f64 x) 1/2) -1)) (cos.f64 x)))
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(+.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))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (sin.f64 x) (sin.f64 x))
✓	0.3b	(/.f64 1 (/.f64 1 (sin.f64 x)))
	2.2b	(-.f64 1 (cos.f64 x))
✓	18.1b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))

Compiler

Compiled 53 to 24 computations (54.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`rational_best-simplify-53`
724×	`rational_best-simplify-49`
716×	`rational_best-simplify-67`
716×	`rational_best-simplify-54`
632×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	103	63
2	369	63
3	1649	63

Stop Event

1×	node limit

Counts

3 → 258

Calls

Call 1

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

Outputs

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simplify198.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1128×	`rational_best-simplify-108`
706×	`rational_best-simplify-3`
672×	`rational_best-simplify-49`
636×	`rational_best-simplify-53`
622×	`rational_best-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	568	8692
1	1658	8216
2	7267	8054

Stop Event

1×	node limit

Counts

294 → 368

Calls

Call 1

Inputs
1/2
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/48 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 17/5760 (pow.f64 x 6)) (*.f64 1/48 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
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(pow.f64 (sin.f64 x) 2)
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(*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) -1))
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(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
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(*.f64 (/.f64 1 (/.f64 1/2 (sin.f64 x))) 1/2)
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Outputs
1/2
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2)
(+.f64 1/2 (*.f64 1/8 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 (pow.f64 x 2) 1/8))
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(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
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(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
x
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(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(sin.f64 x)
(*.f64 (fabs.f64 (sin.f64 x)) (/.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x)))
(sin.f64 x)
(.f64 (fabs.f64 (sin.f64 x)) (.f64 1 (/.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x))))
(sin.f64 x)
(*.f64 (/.f64 1 (/.f64 1/2 (sin.f64 x))) 1/2)
(sin.f64 x)
(.f64 (/.f64 4 (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) 4))
(sin.f64 x)
(.f64 (.f64 (sin.f64 x) 4) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) 4))
(sin.f64 x)
(.f64 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)) (/.f64 (/.f64 1/2 (sin.f64 x)) 2))
(sin.f64 x)
(*.f64 (/.f64 16 (/.f64 4 (sin.f64 x))) 1/4)
(*.f64 1/4 (/.f64 16 (/.f64 4 (sin.f64 x))))
(.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) 2) (.f64 4 (*.f64 (sin.f64 x) (sin.f64 x))))
(sin.f64 x)
(*.f64 (/.f64 1 (/.f64 4 (sin.f64 x))) 4)
(sin.f64 x)
(*.f64 8 (/.f64 1 (/.f64 8 (sin.f64 x))))
(sin.f64 x)
(.f64 8 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 2 (.f64 (sin.f64 x) 4))))
(sin.f64 x)
(*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 (+.f64 x x))))
(*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 1/2 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) 2)
(sin.f64 x)
(*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))
(sin.f64 x)
(*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 2 (/.f64 2 (sin.f64 x))))
(sin.f64 x)
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x)) (fabs.f64 (sin.f64 x)))
(sin.f64 x)
(.f64 (.f64 (fabs.f64 (sin.f64 x)) 2) (/.f64 (/.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x)) 2))
(sin.f64 x)
(pow.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) 1)
(sin.f64 x)
(+.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (sin.f64 x))
(+.f64 0 (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(+.f64 1/2 (/.f64 (cos.f64 (-.f64 (PI.f64) (+.f64 x x))) 2))
(+.f64 1/2 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) 2)))
(+.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) -2))
(+.f64 1/2 (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) 2))
(+.f64 1/2 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) 2)))
(+.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) -2))
(+.f64 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 (-.f64 (PI.f64) (+.f64 x x))) 2))
(/.f64 (+.f64 (cos.f64 (-.f64 (PI.f64) (+.f64 x x))) (cos.f64 0)) 2)
(+.f64 (/.f64 (cos.f64 0) 2) (+.f64 (/.f64 (cos.f64 (-.f64 (PI.f64) (+.f64 x x))) 2) 0))
(/.f64 (+.f64 (cos.f64 (-.f64 (PI.f64) (+.f64 x x))) (cos.f64 0)) 2)
(+.f64 (/.f64 (cos.f64 0) 2) (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) 2)))
(/.f64 (+.f64 (neg.f64 (cos.f64 (+.f64 x x))) (cos.f64 0)) 2)
(+.f64 (/.f64 (cos.f64 0) 2) (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) 2))
(+.f64 (/.f64 (cos.f64 0) 2) (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) 2)))
(/.f64 (+.f64 (neg.f64 (cos.f64 (+.f64 x x))) (cos.f64 0)) 2)
(+.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2))
(*.f64 (sin.f64 x) (sin.f64 x))
(+.f64 (/.f64 (cos.f64 (-.f64 (PI.f64) (+.f64 x x))) 2) 1/2)
(+.f64 1/2 (/.f64 (cos.f64 (-.f64 (PI.f64) (+.f64 x x))) 2))
(+.f64 (/.f64 (cos.f64 (-.f64 (PI.f64) (+.f64 x x))) 2) (/.f64 (cos.f64 0) 2))
(/.f64 (+.f64 (cos.f64 (-.f64 (PI.f64) (+.f64 x x))) (cos.f64 0)) 2)
(+.f64 (fabs.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2)) (fabs.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2)))
(*.f64 (sin.f64 x) (sin.f64 x))
(+.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) 4) (/.f64 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 3)) 4))
(/.f64 (+.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 3 (*.f64 (sin.f64 x) (sin.f64 x)))) 4)
(/.f64 (.f64 4 (.f64 (sin.f64 x) (sin.f64 x))) 4)
(-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (sin.f64 x))
(-.f64 0 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(-.f64 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 (+.f64 x x)) 2))
(*.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (/.f64 (cos.f64 0) 2) (neg.f64 (/.f64 (cos.f64 (-.f64 (PI.f64) (+.f64 x x))) 2)))
(-.f64 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 (-.f64 (PI.f64) (+.f64 x x))) -2))
(-.f64 1/4 (/.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (cos.f64 (+.f64 x x)) 2)) 2))
(-.f64 1/4 (+.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) 2) (/.f64 (cos.f64 (+.f64 x x)) 4)))
(-.f64 1/4 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) -1/2) (/.f64 (cos.f64 (+.f64 x x)) 4)))
(-.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) -2))
(-.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (.f64 (*.f64 (sin.f64 x) (sin.f64 x)) -1/2))
(-.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) 2) 1/2))
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(-.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) 2) (/.f64 (cos.f64 0) 2)))
(*.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (/.f64 (+.f64 (cos.f64 (+.f64 x x)) -1) 4))
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (+.f64 (/.f64 (cos.f64 (+.f64 x x)) 4) -1/4))
(/.f64 (-.f64 (-.f64 1 (cos.f64 (*.f64 x 2))) (+.f64 (cos.f64 (+.f64 x x)) -1)) 4)
(-.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (/.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 0)) 2))
(*.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (/.f64 (/.f64 (cos.f64 0) 2) 2) (/.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (cos.f64 (+.f64 x x)) 2)) 2))
(*.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 3)) 4) (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) 4))
(/.f64 (+.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 3 (*.f64 (sin.f64 x) (sin.f64 x)))) 4)
(/.f64 (.f64 4 (.f64 (sin.f64 x) (sin.f64 x))) 4)
(-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) -1/2) 2) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) 2) 2))
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (+.f64 (/.f64 (cos.f64 (+.f64 x x)) 4) -1/4))
(/.f64 (-.f64 (-.f64 1 (cos.f64 (*.f64 x 2))) (+.f64 (cos.f64 (+.f64 x x)) -1)) 4)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4)) 4)
(/.f64 (+.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 3 (*.f64 (sin.f64 x) (sin.f64 x)))) 4)
(/.f64 (.f64 4 (.f64 (sin.f64 x) (sin.f64 x))) 4)
(/.f64 (.f64 (.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 4)) 8)
(/.f64 (+.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 3 (*.f64 (sin.f64 x) (sin.f64 x)))) 4)
(/.f64 (.f64 4 (.f64 (sin.f64 x) (sin.f64 x))) 4)
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) -1)
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (-.f64 (.f64 (cos.f64 0) 2) (.f64 (cos.f64 (+.f64 x x)) 2)) 4)
(/.f64 (-.f64 (.f64 2 (cos.f64 0)) (.f64 2 (cos.f64 (+.f64 x x)))) 4)
(/.f64 (*.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) 4)
(/.f64 (.f64 2 (-.f64 1 (cos.f64 (.f64 x 2)))) 4)
(pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))

eval404.0ms (2.5%)

Compiler: Compiled 26308 to 15879 computations (39.6% saved)

prune301.0ms (1.9%)

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1250	23	1273
Fresh	5	4	9
Picked	1	0	1
Done	1	4	5
Total	1257	31	1288

Error

0.1b

Counts

1288 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	32.6b	(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 2 (sin.f64 x))))
▶	32.5b	(/.f64 (-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) -4)))) (sin.f64 x))
	32.5b	(/.f64 (-.f64 (/.f64 (cos.f64 x) -4) (-.f64 -1 (*.f64 (cos.f64 x) -3/4))) (sin.f64 x))
	32.5b	(/.f64 (-.f64 (+.f64 2 (neg.f64 (cos.f64 x))) (cos.f64 x)) (*.f64 (sin.f64 x) 2))
	32.5b	(/.f64 (-.f64 (+.f64 1/2 (-.f64 1 (cos.f64 x))) 1/2) (sin.f64 x))
✓	32.5b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	32.5b	(/.f64 (-.f64 1/2 (+.f64 -1/2 (cos.f64 x))) (sin.f64 x))
	32.5b	(/.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)))
	32.5b	(/.f64 (+.f64 (+.f64 1 (.f64 (cos.f64 x) -1/2)) (+.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (-.f64 1 (.f64 (cos.f64 x) 3/2)))) (.f64 4 (sin.f64 x)))
	32.5b	(-.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 x) 3/4)) (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 4) (sin.f64 x)))
	32.6b	(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
	60.9b	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) 1) -1)
	32.5b	(-.f64 (-.f64 -1 (/.f64 (+.f64 (+.f64 (cos.f64 x) -2) (+.f64 (cos.f64 x) (+.f64 -2 (.f64 2 (cos.f64 x))))) (.f64 4 (sin.f64 x)))) -1)
✓	32.5b	(-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
▶	33.2b	(-.f64 (+.f64 (-.f64 -1 (/.f64 -1/2 (sin.f64 x))) (neg.f64 (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x)))) -1)
▶	61.1b	(-.f64 -1 -1)
	32.5b	(+.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)))
	32.6b	(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) (+.f64 (+.f64 -1 (/.f64 1 (sin.f64 x))) 1))
	32.5b	(+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
▶	29.6b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
✓	29.5b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
	32.5b	(+.f64 (neg.f64 (/.f64 -1/2 (sin.f64 x))) (neg.f64 (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x))))
	32.6b	(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) 2)) (/.f64 1 (/.f64 2 (sin.f64 x))))
	34.4b	(*.f64 (/.f64 (-.f64 (+.f64 2 (neg.f64 (cos.f64 x))) (cos.f64 x)) (-.f64 1 (cos.f64 (+.f64 x x)))) (/.f64 1 (/.f64 1 (sin.f64 x))))
	34.5b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2)) (/.f64 1 (/.f64 1 (sin.f64 x))))
	33.9b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (-.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2) 1/2))) (/.f64 1 (/.f64 1 (sin.f64 x))))
	33.9b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (-.f64 (/.f64 (-.f64 (.f64 (sin.f64 x) (sin.f64 x)) -1/2) (.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) 2) (*.f64 (sin.f64 x) 2))))
	32.5b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	34.5b	(.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (+.f64 (cos.f64 (+.f64 x x)) -1))) (/.f64 1 (/.f64 1 (sin.f64 x))))
▶	24.1b	(*.f64 1/2 (/.f64 1 (/.f64 1 (sin.f64 x))))
✓	28.9b	(*.f64 1/2 x)

Compiler

Compiled 1020 to 751 computations (26.4% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sin.f64 x))
	0.3b	(/.f64 1 (/.f64 1 (sin.f64 x)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`rational_best-simplify-52`
862×	`rational_best-simplify-51`
850×	`rational_best-simplify-48`
604×	`rational_best-simplify-83`
576×	`rational_best-simplify-57`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	52	11
2	130	11
3	362	11
4	1339	11

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1126×	`rational_best-simplify-65`
854×	`rational_best-simplify-67`
844×	`rational_best-simplify-54`
718×	`rational_best-simplify-1`
618×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	700
1	253	696
2	574	670
3	2302	660

Stop Event

1×	node limit

Counts

44 → 58

Calls

Call 1

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

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

localize2.0ms (0%)

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

localize70.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 52 to 41 computations (21.2% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite146.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`rational_best-simplify-83`
1016×	`rational_best-simplify-51`
780×	`rational_best-simplify-57`
644×	`rational_best-simplify-63`
626×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	81	13
3	178	13
4	485	13
5	1762	13
6	7749	13

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/240 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/240 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 5) 1/120) 1/4) (*.f64 (*.f64 (pow.f64 x 5) 1/120) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 5) 1/120) 1/4) (/.f64 (*.f64 (pow.f64 x 5) -1/240) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (*.f64 (pow.f64 x 5) 1/80) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4) (-.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (*.f64 1/240 (pow.f64 x 5)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 x 5) 1/80) 4) (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (*.f64 1/240 (pow.f64 x 5)) -2)) (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 5) 1/120) 1/4) (neg.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4))) (neg.f64 (neg.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4) (neg.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4))) (-.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4) (neg.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/240 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) -2) (*.f64 (*.f64 (pow.f64 x 5) 1/120) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 5) -1/240))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 x 5) 1/120) 1/4) (/.f64 (*.f64 1/240 (pow.f64 x 5)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (neg.f64 (*.f64 (pow.f64 x 5) 1/80)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4) (neg.f64 (/.f64 (*.f64 (pow.f64 x 5) 1/80) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 5) 1/80) 4) (neg.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 5) 1/80) 4) (/.f64 (*.f64 (pow.f64 x 5) -1/240) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (*.f64 1/240 (pow.f64 x 5)) -2)) (neg.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4) (neg.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4))) (-.f64 (neg.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4)) (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (*.f64 (pow.f64 x 5) 1/80) 8)) (-.f64 (/.f64 (*.f64 (pow.f64 x 5) -1/240) 8) (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/240 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 5) 1/120) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 5) -1/240) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 5) 1/60) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 5) 1/60)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 5) 4) 1/60) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 x 5) -1/240) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 5) 4) 1/60) (*.f64 (*.f64 (pow.f64 x 5) 4) 1/60)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/240 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 5) -1/240))))))

simplify244.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1162×	`rational_best-simplify-66`
978×	`rational_best-simplify-108`
976×	`rational_best-simplify-1`
946×	`rational_best-simplify-56`
860×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	403
1	186	403
2	456	403
3	1919	403
4	5703	403
5	7858	403

Stop Event

1×	node limit

Counts

31 → 32

Calls

Call 1

Inputs
(+.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(+.f64 0 (*.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 (.f64 (pow.f64 x 5) 1/120) 1/4) (.f64 (.f64 (pow.f64 x 5) 1/120) 1/4))
(+.f64 (.f64 (.f64 (pow.f64 x 5) 1/120) 1/4) (/.f64 (*.f64 (pow.f64 x 5) -1/240) -2))
(+.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (.f64 (pow.f64 x 5) 1/80) 4))
(+.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (-.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (*.f64 1/240 (pow.f64 x 5)) -2)))
(+.f64 (/.f64 (.f64 (pow.f64 x 5) 1/80) 4) (/.f64 (.f64 1/240 (pow.f64 x 5)) 4))
(+.f64 (-.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (.f64 1/240 (pow.f64 x 5)) -2)) (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4))
(+.f64 (-.f64 (.f64 (.f64 (pow.f64 x 5) 1/120) 1/4) (neg.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4))) (neg.f64 (neg.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4))))
(+.f64 (-.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (neg.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4))) (-.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (neg.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4))))
(-.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(-.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) -2) (.f64 (.f64 (pow.f64 x 5) 1/120) 1/4)))
(-.f64 0 (*.f64 (pow.f64 x 5) -1/240))
(-.f64 (.f64 (.f64 (pow.f64 x 5) 1/120) 1/4) (/.f64 (*.f64 1/240 (pow.f64 x 5)) -2))
(-.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (neg.f64 (.f64 (pow.f64 x 5) 1/80)) 4))
(-.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (neg.f64 (/.f64 (.f64 (pow.f64 x 5) 1/80) 4)))
(-.f64 (/.f64 (.f64 (pow.f64 x 5) 1/80) 4) (neg.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4)))
(-.f64 (/.f64 (.f64 (pow.f64 x 5) 1/80) 4) (/.f64 (.f64 (pow.f64 x 5) -1/240) 4))
(-.f64 (-.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (.f64 1/240 (pow.f64 x 5)) -2)) (neg.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4)))
(-.f64 (-.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (neg.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4))) (-.f64 (neg.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4)) (/.f64 (.f64 1/240 (pow.f64 x 5)) 4)))
(-.f64 (+.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (.f64 (pow.f64 x 5) 1/80) 8)) (-.f64 (/.f64 (.f64 (pow.f64 x 5) -1/240) 8) (/.f64 (.f64 1/240 (pow.f64 x 5)) 4)))
(/.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(/.f64 (*.f64 (pow.f64 x 5) 1/120) 2)
(/.f64 (*.f64 (pow.f64 x 5) -1/240) -1)
(/.f64 (*.f64 (pow.f64 x 5) 1/60) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 5) 1/60)) 8)
(/.f64 (.f64 (.f64 (pow.f64 x 5) 4) 1/60) 16)
(/.f64 (/.f64 (*.f64 (pow.f64 x 5) -1/240) -2) 1/2)
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 x 5) 4) 1/60) (.f64 (.f64 (pow.f64 x 5) 4) 1/60)) 32)
(pow.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(neg.f64 (*.f64 (pow.f64 x 5) -1/240))

Outputs
(+.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(*.f64 1/240 (pow.f64 x 5))
(+.f64 0 (*.f64 1/240 (pow.f64 x 5)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 (.f64 (pow.f64 x 5) 1/120) 1/4) (.f64 (.f64 (pow.f64 x 5) 1/120) 1/4))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 (.f64 (pow.f64 x 5) 1/120) 1/4) (/.f64 (*.f64 (pow.f64 x 5) -1/240) -2))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (.f64 (pow.f64 x 5) 1/80) 4))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (-.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (*.f64 1/240 (pow.f64 x 5)) -2)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (/.f64 (.f64 (pow.f64 x 5) 1/80) 4) (/.f64 (.f64 1/240 (pow.f64 x 5)) 4))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (-.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (.f64 1/240 (pow.f64 x 5)) -2)) (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (-.f64 (.f64 (.f64 (pow.f64 x 5) 1/120) 1/4) (neg.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4))) (neg.f64 (neg.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4))))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (-.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (neg.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4))) (-.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (neg.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4))))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) -2) (.f64 (.f64 (pow.f64 x 5) 1/120) 1/4)))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 0 (*.f64 (pow.f64 x 5) -1/240))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (.f64 (.f64 (pow.f64 x 5) 1/120) 1/4) (/.f64 (*.f64 1/240 (pow.f64 x 5)) -2))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (neg.f64 (.f64 (pow.f64 x 5) 1/80)) 4))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (neg.f64 (/.f64 (.f64 (pow.f64 x 5) 1/80) 4)))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (/.f64 (.f64 (pow.f64 x 5) 1/80) 4) (neg.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4)))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (/.f64 (.f64 (pow.f64 x 5) 1/80) 4) (/.f64 (.f64 (pow.f64 x 5) -1/240) 4))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (-.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (.f64 1/240 (pow.f64 x 5)) -2)) (neg.f64 (/.f64 (*.f64 1/240 (pow.f64 x 5)) 4)))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (-.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (neg.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4))) (-.f64 (neg.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4)) (/.f64 (.f64 1/240 (pow.f64 x 5)) 4)))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (+.f64 (/.f64 (.f64 1/240 (pow.f64 x 5)) 4) (/.f64 (.f64 (pow.f64 x 5) 1/80) 8)) (-.f64 (/.f64 (.f64 (pow.f64 x 5) -1/240) 8) (/.f64 (.f64 1/240 (pow.f64 x 5)) 4)))
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 (pow.f64 x 5) 1/120) 2)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 (pow.f64 x 5) -1/240) -1)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 (pow.f64 x 5) 1/60) 4)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 (pow.f64 x 5) 1/60)) 8)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (.f64 (.f64 (pow.f64 x 5) 4) 1/60) 16)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (/.f64 (*.f64 (pow.f64 x 5) -1/240) -2) 1/2)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 x 5) 4) 1/60) (.f64 (.f64 (pow.f64 x 5) 4) 1/60)) 32)
(*.f64 1/240 (pow.f64 x 5))
(pow.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(*.f64 1/240 (pow.f64 x 5))
(neg.f64 (*.f64 (pow.f64 x 5) -1/240))
(*.f64 1/240 (pow.f64 x 5))

localize118.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 -1/2 (cos.f64 x))
✓	0.2b	(-.f64 -1 (/.f64 -1/2 (sin.f64 x)))
✓	1.5b	(-.f64 (+.f64 (-.f64 -1 (/.f64 -1/2 (sin.f64 x))) (neg.f64 (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x)))) -1)
✓	2.8b	(+.f64 (-.f64 -1 (/.f64 -1/2 (sin.f64 x))) (neg.f64 (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x))))

Compiler

Compiled 69 to 40 computations (42% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite144.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`rational_best-simplify-65`
586×	`rational_best-simplify-52`
544×	`rational_best-4`
544×	`rational_best-2`
544×	`rational_best-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	120
1	113	94
2	309	80
3	1253	80

Stop Event

1×	node limit

Counts

4 → 223

Calls

Call 1

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

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

simplify162.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1136×	`rational_best-simplify-54`
878×	`rational_best-simplify-56`
798×	`rational_best-simplify-50`
752×	`rational_best-simplify-1`
630×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	518	9251
1	1544	8527
2	5042	7873

Stop Event

1×	node limit

Counts

271 → 373

Calls

Call 1

Inputs
-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 1/2 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 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1)
(-.f64 (+.f64 (.f64 1/12 x) (.f64 1/2 (/.f64 1 x))) 1)
(-.f64 (+.f64 (.f64 7/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (*.f64 1/2 (/.f64 1 x)))) 1)
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 1)
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 1)
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 1)
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 1)
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 1)
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 1)
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 1)
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 1)
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 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (+.f64 -1 (/.f64 1/2 (sin.f64 x))) (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x)))
(-.f64 (+.f64 -1 (/.f64 1/2 (sin.f64 x))) (+.f64 (-.f64 -2 (+.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) -1)) (+.f64 (/.f64 -1/2 (sin.f64 x)) 1)))
(-.f64 (+.f64 -1 (/.f64 1/2 (sin.f64 x))) (+.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) 1) (+.f64 -1 (/.f64 1/2 (sin.f64 x)))))
(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 -1/2 (sin.f64 x)) 1))
(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (-.f64 (+.f64 -1 (/.f64 1/2 (sin.f64 x))) (-.f64 (/.f64 1 (sin.f64 x)) 2)))
(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (+.f64 (/.f64 -1/2 (sin.f64 x)) 1) (/.f64 0 (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 -1/2 (sin.f64 x)) 1)) (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x))))
(-.f64 (-.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 0)
(-.f64 (-.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) (/.f64 0 (sin.f64 x)))
(-.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x))) 1)
(-.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x))) (-.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (/.f64 1/2 (sin.f64 x)))))
(-.f64 0 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) 1))
(-.f64 0 (-.f64 (-.f64 -2 (+.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) -1)) (-.f64 (/.f64 1 (sin.f64 x)) 2)))
(-.f64 0 (+.f64 (+.f64 (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x)) 1) (/.f64 -1/2 (sin.f64 x))))
(-.f64 0 (+.f64 (+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 -1/2 (sin.f64 x)) 1)) (/.f64 (+.f64 -1/2 (cos.f64 x)) (/.f64 (sin.f64 x) 2))))
(-.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x)) 1))
(-.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (+.f64 (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x)) 1) 0))
(-.f64 (/.f64 1/2 (sin.f64 x)) (neg.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)))))
(-.f64 (+.f64 (/.f64 -1/2 (sin.f64 x)) 1) (neg.f64 (+.f64 (-.f64 (/.f64 1 (sin.f64 x)) 2) (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)))))
(-.f64 (/.f64 0 (sin.f64 x)) (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (-.f64 (/.f64 -1/2 (sin.f64 x)) (+.f64 -1 (/.f64 1/2 (sin.f64 x)))))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (+.f64 (/.f64 -1/2 (sin.f64 x)) (+.f64 (/.f64 -1/2 (sin.f64 x)) 1)))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (+.f64 (+.f64 (/.f64 -1/2 (sin.f64 x)) 1) (/.f64 -1/2 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (-.f64 -1 (/.f64 -1 (sin.f64 x)))))
(-.f64 (-.f64 (/.f64 1 (sin.f64 x)) 2) (-.f64 -2 (+.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) -1)))
(-.f64 (-.f64 -2 (+.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) -1)) (/.f64 (+.f64 -1/2 (cos.f64 x)) (/.f64 (sin.f64 x) 2)))
(-.f64 (*.f64 (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x)) -2) (+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 -1/2 (sin.f64 x)) 1)))
(-.f64 (*.f64 (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x)) -2) (+.f64 (+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 -1/2 (sin.f64 x)) 1)) 0))
(-.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))) (/.f64 -1/2 (sin.f64 x)))
(-.f64 (.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (-.f64 (/.f64 (+.f64 -1 (+.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 2)) -1))
(-.f64 (.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (-.f64 (.f64 (+.f64 -1/2 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (+.f64 -1 (/.f64 1/2 (sin.f64 x)))))
(-.f64 (.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (-.f64 (+.f64 (+.f64 -1 (/.f64 1/2 (sin.f64 x))) (.f64 (+.f64 -1/2 (cos.f64 x)) (/.f64 1/2 (sin.f64 x)))) (-.f64 (/.f64 1 (sin.f64 x)) 2)))
(-.f64 (.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (+.f64 (+.f64 (/.f64 -1/2 (sin.f64 x)) 1) (.f64 (+.f64 -1/2 (cos.f64 x)) (/.f64 1/2 (sin.f64 x)))))
(-.f64 (.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (+.f64 (.f64 (+.f64 -1/2 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (+.f64 (/.f64 -1/2 (sin.f64 x)) 1)))
(-.f64 (.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (-.f64 (+.f64 (/.f64 -1/2 (sin.f64 x)) 1) (.f64 (-.f64 1/2 (cos.f64 x)) (/.f64 1/2 (sin.f64 x)))))
(-.f64 (-.f64 -1 (/.f64 (+.f64 -1 (+.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 2))) (.f64 (+.f64 -1/2 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(-.f64 (+.f64 (-.f64 (/.f64 1 (sin.f64 x)) 2) (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))) (+.f64 -1 (/.f64 1/2 (sin.f64 x))))
(-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) 1) (-.f64 (/.f64 (+.f64 -1/2 (cos.f64 x)) (/.f64 (sin.f64 x) 2)) (-.f64 (/.f64 1 (sin.f64 x)) 2)))
(-.f64 (-.f64 -1/2 (/.f64 -1/4 (sin.f64 x))) (-.f64 (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x)) (-.f64 -1/2 (/.f64 -1/4 (sin.f64 x)))))
(-.f64 (-.f64 -1/2 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (sin.f64 x) 2))) (/.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) 1) 2))
(-.f64 (-.f64 -1/2 (/.f64 (+.f64 -1 (cos.f64 x)) (.f64 (sin.f64 x) 2))) (-.f64 (.f64 (+.f64 -1/2 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (-.f64 -1/2 (/.f64 -1/4 (sin.f64 x)))))
(-.f64 (/.f64 (-.f64 -1 (+.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 2)) (-.f64 (+.f64 -1 (.f64 (+.f64 -1/2 (cos.f64 x)) (/.f64 1/2 (sin.f64 x)))) (-.f64 (/.f64 1 (sin.f64 x)) 2)))
(-.f64 (-.f64 (/.f64 (-.f64 -1 (+.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 2)) -1) (-.f64 (.f64 (+.f64 -1/2 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (-.f64 (/.f64 1 (sin.f64 x)) 2)))
(-.f64 (-.f64 (+.f64 -1 (/.f64 1/2 (sin.f64 x))) (-.f64 -2 (+.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) -1))) (+.f64 (/.f64 -1/2 (sin.f64 x)) 1))
(-.f64 (-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 -1/2 (sin.f64 x)) 1))) (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x)))
(-.f64 (-.f64 (-.f64 -1/2 (/.f64 -1/4 (sin.f64 x))) (/.f64 0 (sin.f64 x))) (-.f64 (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x)) (-.f64 -1/2 (/.f64 -1/4 (sin.f64 x)))))
(-.f64 (-.f64 (-.f64 -1/2 (/.f64 -1/4 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 (/.f64 -1/2 (sin.f64 x)) (-.f64 -1/2 (/.f64 -1/4 (sin.f64 x)))))
(-.f64 (-.f64 (-.f64 -1/2 (/.f64 -1/4 (sin.f64 x))) (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x))) (-.f64 0 (-.f64 -1/2 (/.f64 -1/4 (sin.f64 x)))))
(-.f64 (-.f64 (-.f64 -1/2 (/.f64 -1/4 (sin.f64 x))) (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x))) (-.f64 (/.f64 0 (sin.f64 x)) (-.f64 -1/2 (/.f64 -1/4 (sin.f64 x)))))
(-.f64 (-.f64 (-.f64 -1/2 (/.f64 -1/4 (sin.f64 x))) (/.f64 -1/2 (sin.f64 x))) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (-.f64 -1/2 (/.f64 -1/4 (sin.f64 x)))))
(-.f64 (-.f64 (-.f64 -1/2 (/.f64 -1/4 (sin.f64 x))) (/.f64 (+.f64 -1/4 (cos.f64 x)) (sin.f64 x))) (-.f64 (/.f64 -1/4 (sin.f64 x)) (-.f64 -1/2 (/.f64 -1/4 (sin.f64 x)))))
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(pow.f64 (+.f64 -1/2 (cos.f64 x)) 1)
(neg.f64 (-.f64 1/2 (cos.f64 x)))

Outputs
-1
(-.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) -1)
(+.f64 -1 (*.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) 1)
(+.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) -1)
(+.f64 -1 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(-.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 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) -1)
(+.f64 -1 (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 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 1/2 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 (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))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1)
(+.f64 (*.f64 1/2 (/.f64 1 x)) -1)
(+.f64 -1 (*.f64 1/2 (/.f64 1 x)))
(+.f64 -1 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/12 x) (.f64 1/2 (/.f64 1 x))) 1)
(+.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 x 1/12)) -1)
(+.f64 -1 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 x 1/12)))
(+.f64 -1 (+.f64 (/.f64 1/2 x) (*.f64 x 1/12)))
(-.f64 (+.f64 (.f64 7/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (*.f64 1/2 (/.f64 1 x)))) 1)
(+.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 x 1/12) (*.f64 (pow.f64 x 3) 7/720))) -1)
(+.f64 -1 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 x 1/12) (*.f64 (pow.f64 x 3) 7/720))))
(+.f64 -1 (+.f64 (/.f64 1/2 x) (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) 7/720))))
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 1)
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(-.f64 -1 (/.f64 -1/2 (sin.f64 x)))
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 1)
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(-.f64 -1 (/.f64 -1/2 (sin.f64 x)))
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 1)
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(-.f64 -1 (/.f64 -1/2 (sin.f64 x)))
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 1)
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(-.f64 -1 (/.f64 -1/2 (sin.f64 x)))
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 1)
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(-.f64 -1 (/.f64 -1/2 (sin.f64 x)))
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 1)
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(-.f64 -1 (/.f64 -1/2 (sin.f64 x)))
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 1)
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(-.f64 -1 (/.f64 -1/2 (sin.f64 x)))
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) 1)
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(-.f64 -1 (/.f64 -1/2 (sin.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 (.f64 1/24 (pow.f64 x 4)) (+.f64 1/2 (.f64 -1/2 (pow.f64 x 2))))
(+.f64 (+.f64 1/2 (.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 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/720 (pow.f64 x 6))) (+.f64 1/2 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1/2 (+.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 (/.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 (/.f64 1/2 (sin.f64 x))) (/.f64 (+.f64 -1/2 (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 (/.f64 1/2 (sin.f64 x))) (+.f64 (-.f64 -2 (+.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) -1)) (+.f64 (/.f64 -1/2 (sin.f64 x)) 1)))
(+.f64 (-.f64 (-.f64 (+.f64 -1 (/.f64 1/2 (sin.f64 x))) (+.f64 (-.f64 -2 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) 1)) (/.f64 -1/2 (sin.f64 x))) -1)
(-.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (-.f64 (+.f64 (-.f64 -2 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (/.f64 -1/2 (sin.f64 x))) -2) 1))
(-.f64 (-.f64 (/.f64 1 (sin.f64 x)) 2) (+.f64 -1 (neg.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))))
(-.f64 (+.f64 -1 (/.f64 1/2 (sin.f64 x))) (+.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) 1) (+.f64 -1 (/.f64 1/2 (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 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 -1/2 (sin.f64 x)) 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 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (-.f64 (+.f64 -1 (/.f64 1/2 (sin.f64 x))) (-.f64 (/.f64 1 (sin.f64 x)) 2)))
(-.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 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (+.f64 (/.f64 -1/2 (sin.f64 x)) 1) (/.f64 0 (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 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 -1/2 (sin.f64 x)) 1)) (/.f64 (+.f64 -1/2 (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 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 0)
(-.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 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) (/.f64 0 (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 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x))) 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 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x))) (-.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 -1 (/.f64 1/2 (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 0 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) 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 0 (-.f64 (-.f64 -2 (+.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) -1)) (-.f64 (/.f64 1 (sin.f64 x)) 2)))
(+.f64 (-.f64 (-.f64 (+.f64 -1 (/.f64 1/2 (sin.f64 x))) (+.f64 (-.f64 -2 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) 1)) (/.f64 -1/2 (sin.f64 x))) -1)
(-.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (-.f64 (+.f64 (-.f64 -2 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (/.f64 -1/2 (sin.f64 x))) -2) 1))
(-.f64 (-.f64 (/.f64 1 (sin.f64 x)) 2) (+.f64 -1 (neg.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))))
(-.f64 0 (+.f64 (+.f64 (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x)) 1) (/.f64 -1/2 (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 0 (+.f64 (+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 -1/2 (sin.f64 x)) 1)) (/.f64 (+.f64 -1/2 (cos.f64 x)) (/.f64 (sin.f64 x) 2))))
(neg.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 -1/2 (sin.f64 x))) (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1/2) (/.f64 (sin.f64 x) 2))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (-.f64 1/2 (cos.f64 x))) (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1/2) (/.f64 (sin.f64 x) 2))))
(+.f64 (+.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1/2) (/.f64 (sin.f64 x) 2))))
(-.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x)) 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 1/2 (sin.f64 x)) (+.f64 (+.f64 (/.f64 (+.f64 -1/2 (cos.f64 x)) (sin.f64 x)) 1) 0))
(-.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 1/2 (sin.f64 x)) (neg.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)))))
(-.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))) (neg.f64 (/.f64 1/2 (sin.f64 x))))
(-.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x))) (/.f64 -1/2 (sin.f64 x)))
(-.f64 (+.f64 (/.f64 -1/2 (sin.f64 x)) 1) (neg.f64 (+.f64 (-.f64 (/.f64 1 (sin.f64 x)) 2) (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)))))
(-.f64 (+.f64 1 (/.f64 -1/2 (sin.f64 x))) (neg.f64 (+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (-.f64 (/.f64 1 (sin.f64 x)) 2))))
(-.f64 (+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (-.f64 (/.f64 1 (sin.f64 x)) 2)) (+.f64 -1 (/.f64 1/2 (sin.f64 x))))
(+.f64 (+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (-.f64 (/.f64 1 (sin.f64 x)) 2)) (+.f64 1 (/.f64 -1/2 (sin.f64 x))))
(-.f64 (/.f64 0 (sin.f64 x)) (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) 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 (cos.f64 x) (neg.f64 (sin.f64 x))) (-.f64 (/.f64 -1/2 (sin.f64 x)) (+.f64 -1 (/.f64 1/2 (sin.f64 x)))))
(-.f64 (+.f64 -1 (/.f64 1/2 (sin.f64 x))) (-.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))))
(-.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (-.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) 1))
(+.f64 (+.f64 -1 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (/.f64 1 (sin.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (+.f64 (/.f64 -1/2 (sin.f64 x)) (+.f64 (/.f64 -1/2 (sin.f64 x)) 1)))
(-.f64 (+.f64 -1 (/.f64 1/2 (sin.f64 x))) (-.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))))
(-.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (-.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) 1))
(+.f64 (+.f64 -1 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (/.f64 1 (sin.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (+.f64 (+.f64 (/.f64 -1/2 (sin.f64 x)) 1) (/.f64 -1/2 (sin.f64 x))))
(-.f64 (+.f64 -1 (/.f64 1/2 (sin.f64 x))) (-.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))))
(-.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (-.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) 1))
(+.f64 (+.f64 -1 (/.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 (/.f64 -1 (sin.f64 x)))))
(-.f64 (+.f64 -1 (/.f64 1/2 (sin.f64 x))) (-.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))))
(-.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (-.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) 1))
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(/.f64 (/.f64 (+.f64 -1 (/.f64 1/2 (sin.f64 x))) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(-.f64 -1 (/.f64 -1/2 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 -1 (/.f64 1/2 (sin.f64 x))) (*.f64 (sin.f64 x) 2)) (/.f64 1/2 (sin.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(-.f64 -1 (/.f64 -1/2 (sin.f64 x)))
(/.f64 (/.f64 (-.f64 (/.f64 1 (sin.f64 x)) 2) (sin.f64 x)) (/.f64 2 (sin.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(-.f64 -1 (/.f64 -1/2 (sin.f64 x)))
(/.f64 (/.f64 (-.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 (sin.f64 x) 2)) (/.f64 1 (sin.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(-.f64 -1 (/.f64 -1/2 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 2 (-.f64 (/.f64 1 (sin.f64 x)) 2)) (sin.f64 x)) (/.f64 4 (sin.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(-.f64 -1 (/.f64 -1/2 (sin.f64 x)))
(/.f64 (/.f64 (.f64 2 (-.f64 (/.f64 1 (sin.f64 x)) 2)) (.f64 (sin.f64 x) 2)) (/.f64 2 (sin.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(-.f64 -1 (/.f64 -1/2 (sin.f64 x)))
(pow.f64 (+.f64 -1 (/.f64 1/2 (sin.f64 x))) 1)
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(-.f64 -1 (/.f64 -1/2 (sin.f64 x)))
(neg.f64 (+.f64 (/.f64 -1/2 (sin.f64 x)) 1))
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(-.f64 -1 (/.f64 -1/2 (sin.f64 x)))
(-.f64 (cos.f64 x) 1/2)
(-.f64 (cos.f64 x) (+.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 0))))
(+.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 0))) -1/2)
(-.f64 (cos.f64 x) (+.f64 (+.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 0))) 0))
(-.f64 (cos.f64 x) (+.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 0))))
(+.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 0))) -1/2)
(-.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 (cos.f64 x) (+.f64 1/2 (*.f64 (sin.f64 x) (+.f64 (sin.f64 0) (sin.f64 0)))))
(-.f64 (cos.f64 x) (+.f64 1/2 (.f64 (sin.f64 0) (.f64 (sin.f64 x) 2))))
(-.f64 (cos.f64 x) (+.f64 (.f64 (sin.f64 x) (sin.f64 0)) (+.f64 1/2 (.f64 (sin.f64 x) (sin.f64 0)))))
(-.f64 (cos.f64 x) (+.f64 1/2 (*.f64 (sin.f64 x) (+.f64 (sin.f64 0) (sin.f64 0)))))
(-.f64 (cos.f64 x) (+.f64 1/2 (.f64 (sin.f64 0) (.f64 (sin.f64 x) 2))))
(-.f64 (+.f64 -1/2 (cos.f64 x)) 0)
(+.f64 (cos.f64 x) -1/2)
(-.f64 (+.f64 -1/2 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 0)))
(-.f64 (+.f64 (cos.f64 x) -1/2) (*.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 (+.f64 (cos.f64 x) -1/2) (*.f64 (sin.f64 0) (+.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (cos.f64 x) -1/2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 0) (sin.f64 0))))
(-.f64 (+.f64 (cos.f64 x) -1/2) (.f64 (sin.f64 0) (.f64 (sin.f64 x) 2)))
(-.f64 0 (-.f64 1/2 (cos.f64 x)))
(-.f64 (cos.f64 x) 1/2)
(-.f64 (/.f64 (cos.f64 x) 2) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) 2))
(/.f64 (-.f64 (cos.f64 x) (+.f64 1 (neg.f64 (cos.f64 x)))) 2)
(/.f64 (+.f64 (+.f64 -1 (cos.f64 x)) (cos.f64 x)) 2)
(/.f64 (+.f64 -1 (*.f64 (cos.f64 x) 2)) 2)
(-.f64 (+.f64 -1/4 (cos.f64 x)) 1/4)
(-.f64 (+.f64 (cos.f64 x) -1/4) 1/4)
(-.f64 (+.f64 (/.f64 (cos.f64 x) 2) -1/4) (/.f64 (+.f64 -1/2 (cos.f64 x)) -2))
(-.f64 (+.f64 -1/4 (/.f64 (cos.f64 x) 2)) (/.f64 (+.f64 (cos.f64 x) -1/2) -2))
(-.f64 (+.f64 (/.f64 (cos.f64 x) 2) -1/4) (+.f64 (*.f64 (sin.f64 x) (sin.f64 0)) (/.f64 (+.f64 -1/2 (cos.f64 x)) -2)))
(-.f64 (+.f64 -1/4 (/.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 0)) (/.f64 (+.f64 (cos.f64 x) -1/2) -2)))
(-.f64 (-.f64 (+.f64 (/.f64 (cos.f64 x) 2) -1/4) (*.f64 (sin.f64 x) (sin.f64 0))) (/.f64 (+.f64 -1/2 (cos.f64 x)) -2))
(-.f64 (+.f64 -1/4 (/.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 0)) (/.f64 (+.f64 (cos.f64 x) -1/2) -2)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) -1) 1/2)
(-.f64 (cos.f64 x) 1/2)
(-.f64 (/.f64 (*.f64 (+.f64 -1/2 (cos.f64 x)) 3) 4) (/.f64 (-.f64 1/2 (cos.f64 x)) 4))
(/.f64 (-.f64 (*.f64 3 (+.f64 (cos.f64 x) -1/2)) (-.f64 1/2 (cos.f64 x))) 4)
(-.f64 (-.f64 (/.f64 (cos.f64 x) 2) (*.f64 (sin.f64 x) (sin.f64 0))) (-.f64 1/2 (/.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (cos.f64 x) 2) (+.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) (sin.f64 0))))
(-.f64 (/.f64 (cos.f64 x) 2) (-.f64 1/2 (-.f64 (/.f64 (cos.f64 x) 2) (*.f64 (sin.f64 x) (sin.f64 0)))))
(*.f64 (+.f64 -1/2 (cos.f64 x)) 1)
(+.f64 (cos.f64 x) -1/2)
(*.f64 1 (+.f64 -1/2 (cos.f64 x)))
(+.f64 (cos.f64 x) -1/2)
(.f64 (.f64 (+.f64 -1/2 (cos.f64 x)) 2) 1/2)
(+.f64 (cos.f64 x) -1/2)
(.f64 1/2 (.f64 (+.f64 -1/2 (cos.f64 x)) 2))
(+.f64 (cos.f64 x) -1/2)
(.f64 (.f64 (+.f64 -1/2 (cos.f64 x)) 4) 1/4)
(+.f64 (cos.f64 x) -1/2)
(/.f64 (+.f64 -1/2 (cos.f64 x)) 1)
(+.f64 (cos.f64 x) -1/2)
(/.f64 (*.f64 (+.f64 -1/2 (cos.f64 x)) 2) 2)
(+.f64 (cos.f64 x) -1/2)
(/.f64 (-.f64 1/2 (cos.f64 x)) -1)
(-.f64 (cos.f64 x) 1/2)
(/.f64 (*.f64 2 (-.f64 1/2 (cos.f64 x))) -2)
(/.f64 (*.f64 (+.f64 -1/2 (cos.f64 x)) 4) 4)
(+.f64 (cos.f64 x) -1/2)
(/.f64 (.f64 2 (.f64 (+.f64 -1/2 (cos.f64 x)) 4)) 8)
(+.f64 (cos.f64 x) -1/2)
(/.f64 (/.f64 (*.f64 2 (-.f64 1/2 (cos.f64 x))) -1) 2)
(/.f64 (*.f64 2 (-.f64 1/2 (cos.f64 x))) -2)
(/.f64 (-.f64 (*.f64 (+.f64 -1/2 (cos.f64 x)) 2) (-.f64 (cos.f64 (neg.f64 x)) (cos.f64 x))) 2)
(-.f64 (+.f64 (cos.f64 x) -1/2) (*.f64 (sin.f64 x) (sin.f64 0)))
(pow.f64 (+.f64 -1/2 (cos.f64 x)) 1)
(+.f64 (cos.f64 x) -1/2)
(neg.f64 (-.f64 1/2 (cos.f64 x)))
(-.f64 (cos.f64 x) 1/2)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 (cos.f64 x) -4))
✓	0.1b	(-.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) -4)))
✓	0.1b	(/.f64 (-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) -4)))) (sin.f64 x))
✓	2.2b	(-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) -4))))

Compiler

Compiled 69 to 42 computations (39.1% saved)

series6.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) -4)))) (sin.f64 x))
1.0ms	x	@	inf	(-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) -4))))
1.0ms	x	@	-inf	(-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) -4))))
0.0ms	x	@	inf	(/.f64 (-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) -4)))) (sin.f64 x))
0.0ms	x	@	0	(-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) -4))))

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`rational_best-simplify-67`
740×	`rational_best-simplify-65`
736×	`rational_best-simplify-52`
664×	`rational_best-simplify-47`
618×	`rational_best-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	158
1	114	158
2	327	146
3	1325	66

Stop Event

1×	node limit

Counts

4 → 228

Calls

Call 1

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

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

simplify165.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1204×	`rational_best-simplify-50`
918×	`rational_best-simplify-108`
918×	`rational_best-simplify-52`
876×	`rational_best-simplify-48`
804×	`rational_best-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	558	10788
1	1583	9948
2	5101	9518

Stop Event

1×	node limit

Counts

276 → 426

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 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x)))
(-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x)))
(-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x)))
(-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x)))
(-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x)))
(-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x)))
(-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x)))
(-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (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 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x))) (sin.f64 x))
-1/4
(-.f64 (*.f64 -3/8 (pow.f64 x 2)) 1/4)
(-.f64 (+.f64 (.f64 -3/8 (pow.f64 x 2)) (.f64 1/32 (pow.f64 x 4))) 1/4)
(-.f64 (+.f64 (.f64 -1/960 (pow.f64 x 6)) (+.f64 (.f64 -3/8 (pow.f64 x 2)) (*.f64 1/32 (pow.f64 x 4)))) 1/4)
(-.f64 (.f64 1/2 (cos.f64 x)) (+.f64 1 (.f64 -1/4 (cos.f64 x))))
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(-.f64 (/.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -8)) (sin.f64 x)) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 2)) (/.f64 (.f64 (cos.f64 x) 3/4) (*.f64 (sin.f64 x) 2))))
(-.f64 (/.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -8)) (sin.f64 x)) (/.f64 (+.f64 (.f64 (cos.f64 x) 3/4) (+.f64 (cos.f64 x) -1)) (.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 (cos.f64 x) (.f64 (sin.f64 x) -8)) (/.f64 (+.f64 (.f64 (cos.f64 x) 3/4) -1) (sin.f64 x))) (/.f64 (/.f64 (cos.f64 x) 8) (sin.f64 x)))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -8)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 2))) (/.f64 (+.f64 (.f64 (cos.f64 x) 3/4) -1) (.f64 (sin.f64 x) 2)))
(-.f64 (-.f64 (/.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -8)) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 2))) (/.f64 (.f64 (cos.f64 x) 3/4) (*.f64 (sin.f64 x) 2)))
(-.f64 (-.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1/4) (/.f64 (.f64 (cos.f64 x) 3/4) (sin.f64 x))) (/.f64 -1 (sin.f64 x)))
(-.f64 (/.f64 0 (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (/.f64 0 (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (+.f64 (*.f64 (cos.f64 x) 3/4) (/.f64 (cos.f64 x) 8))) (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 8) (sin.f64 x)))
(-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (cos.f64 x) -8) (/.f64 (cos.f64 x) -2)) 1) (sin.f64 x)) (/.f64 (.f64 (cos.f64 x) 3/4) (.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 (.f64 3 (/.f64 (cos.f64 x) -8)) (sin.f64 x)) (/.f64 (+.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (/.f64 (cos.f64 x) 8)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (cos.f64 x) -1/4) 1) (/.f64 (cos.f64 x) 8)) (sin.f64 x)) (/.f64 (+.f64 (.f64 (cos.f64 x) 1/2) (/.f64 (cos.f64 x) 8)) (sin.f64 x)))
(-.f64 (/.f64 (+.f64 1 (/.f64 (cos.f64 x) -8)) (sin.f64 x)) (/.f64 (+.f64 (*.f64 (cos.f64 x) 3/4) (/.f64 (cos.f64 x) 8)) (sin.f64 x)))
(-.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/4) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2)) (/.f64 (+.f64 (.f64 (cos.f64 x) 3/4) -1) (.f64 (sin.f64 x) 2)))
(-.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 (/.f64 (sin.f64 x) (sin.f64 x)) 1/2)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) 1/2)))
(-.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) -1/4) 1) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 (.f64 (cos.f64 x) 3/4) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (+.f64 (+.f64 (.f64 (cos.f64 x) -1/4) 1) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2)) (/.f64 (.f64 (cos.f64 x) 3/4) (.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 (/.f64 (+.f64 (-.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) -2)) (.f64 (sin.f64 x) 2)) 2) (/.f64 (/.f64 (-.f64 (-.f64 (.f64 (.f64 (cos.f64 x) 3/4) 2) 2) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2)) 2))
(-.f64 (/.f64 (/.f64 (+.f64 (-.f64 1 (cos.f64 x)) (-.f64 (/.f64 (cos.f64 x) -2) -2)) (.f64 (sin.f64 x) 2)) 2) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) 3/4) 2) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2)) 2))
(-.f64 (/.f64 (/.f64 (+.f64 (-.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) -2)) (.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) 1/2)) (/.f64 (/.f64 (-.f64 (-.f64 (.f64 (.f64 (cos.f64 x) 3/4) 2) 2) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) 1/2)))
(-.f64 (/.f64 (/.f64 (+.f64 (-.f64 1 (cos.f64 x)) (-.f64 (/.f64 (cos.f64 x) -2) -2)) (.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) 1/2)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) 3/4) 2) (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) 1/2)))
(.f64 1/2 (/.f64 (-.f64 2 (.f64 (cos.f64 x) 2)) (sin.f64 x)))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (-.f64 2 (.f64 (cos.f64 x) 2)) (/.f64 1/2 (sin.f64 x)))
(.f64 (/.f64 (-.f64 2 (.f64 (cos.f64 x) 2)) (sin.f64 x)) 1/2)
(.f64 (/.f64 (-.f64 2 (.f64 (cos.f64 x) 2)) (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) 1/2)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 2 (.f64 (cos.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 (.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 (-.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) 2)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (/.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 (.f64 (cos.f64 x) 1/2) (+.f64 (.f64 (cos.f64 x) 1/4) -1))
(+.f64 (+.f64 (*.f64 (cos.f64 x) 3/4) -1) 0)
(+.f64 0 (+.f64 (*.f64 (cos.f64 x) 3/4) -1))
(+.f64 (*.f64 (cos.f64 x) 3/4) -1)
(+.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1) (.f64 (cos.f64 x) 1/4))
(+.f64 (.f64 (cos.f64 x) 1/4) (+.f64 (.f64 (cos.f64 x) 1/2) -1))
(+.f64 (.f64 (cos.f64 x) 1/4) (neg.f64 (neg.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1))))
(+.f64 -1 (*.f64 (cos.f64 x) 3/4))
(+.f64 (+.f64 (.f64 (cos.f64 x) 1/4) -1) (.f64 (cos.f64 x) 1/2))
(+.f64 (/.f64 (cos.f64 x) 8) (+.f64 (/.f64 (cos.f64 x) 8) (+.f64 (*.f64 (cos.f64 x) 1/2) -1)))
(+.f64 (/.f64 (cos.f64 x) 8) (+.f64 (+.f64 (*.f64 (cos.f64 x) 1/2) (/.f64 (cos.f64 x) 8)) -1))
(+.f64 (/.f64 (cos.f64 x) 8) (neg.f64 (+.f64 (+.f64 (/.f64 (cos.f64 x) -8) (/.f64 (cos.f64 x) -2)) 1)))
(+.f64 (/.f64 (cos.f64 x) 8) (/.f64 (+.f64 (*.f64 (cos.f64 x) 1/4) (-.f64 (cos.f64 x) 2)) 2))
(+.f64 (+.f64 (*.f64 (cos.f64 x) 1/2) (/.f64 (cos.f64 x) 8)) (neg.f64 (+.f64 1 (/.f64 (cos.f64 x) -8))))
(+.f64 (+.f64 (.f64 -3 (/.f64 (cos.f64 x) -8)) -1/2) (+.f64 (.f64 -3 (/.f64 (cos.f64 x) -8)) -1/2))
(+.f64 (+.f64 (+.f64 (*.f64 (cos.f64 x) 1/2) -1) (/.f64 (cos.f64 x) 8)) (/.f64 (cos.f64 x) 8))
(+.f64 (-.f64 -1 (/.f64 (cos.f64 x) -8)) (neg.f64 (+.f64 (/.f64 (cos.f64 x) -8) (/.f64 (cos.f64 x) -2))))
(+.f64 (-.f64 (-.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) -1/4)) (neg.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1)))
(+.f64 (-.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) -1/4) 1)) (/.f64 (cos.f64 x) -2))
(+.f64 -1/2 (/.f64 (+.f64 -1 (.f64 (.f64 (cos.f64 x) 3/4) 2)) 2))
(+.f64 (-.f64 -1 (+.f64 (/.f64 (cos.f64 x) -8) (/.f64 (cos.f64 x) -2))) (/.f64 (cos.f64 x) 8))
(+.f64 (-.f64 (*.f64 (cos.f64 x) 1/2) (+.f64 1/2 (/.f64 (cos.f64 x) -8))) (neg.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -8))))
(+.f64 (/.f64 (+.f64 (*.f64 (cos.f64 x) 1/2) -1) 2) (/.f64 (-.f64 1 (cos.f64 x)) -2))
(+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) 1/4) -1) 2) (/.f64 (+.f64 (.f64 (cos.f64 x) 1/4) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/2 (-.f64 (.f64 (*.f64 (cos.f64 x) 3/4) 2) 2))
(.f64 1 (+.f64 (.f64 (cos.f64 x) 3/4) -1))
(.f64 (+.f64 (.f64 (cos.f64 x) 3/4) -1) 1)
(.f64 (-.f64 1 (.f64 (cos.f64 x) 3/4)) -1)
(.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) 3/4) 2) 2) 1/2)
(.f64 (.f64 2 (-.f64 (.f64 (.f64 (cos.f64 x) 3/4) 2) 2)) 1/4)
(*.f64 (-.f64 (cos.f64 x) (-.f64 (/.f64 (cos.f64 x) -2) -2)) 1/2)
(/.f64 (+.f64 (*.f64 (cos.f64 x) 3/4) -1) 1)
(/.f64 (-.f64 1 (*.f64 (cos.f64 x) 3/4)) -1)
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) 3/4) 2) 2) 2)
(/.f64 (.f64 2 (-.f64 (.f64 (*.f64 (cos.f64 x) 3/4) 2) 2)) 4)
(/.f64 (-.f64 (cos.f64 x) (-.f64 (/.f64 (cos.f64 x) -2) -2)) 2)
(/.f64 (+.f64 (-.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) 1/2)) 2)
(/.f64 (+.f64 (*.f64 (cos.f64 x) 1/2) (-.f64 (cos.f64 x) 2)) 2)
(/.f64 (-.f64 (.f64 (cos.f64 x) 2) (.f64 2 (-.f64 (/.f64 (cos.f64 x) -2) -2))) 4)
(/.f64 (-.f64 (-.f64 (cos.f64 x) 2) (/.f64 (cos.f64 x) -2)) 2)
(pow.f64 (+.f64 (*.f64 (cos.f64 x) 3/4) -1) 1)
(neg.f64 (-.f64 1 (*.f64 (cos.f64 x) 3/4)))
(-.f64 (*.f64 (cos.f64 x) -1/4) -1)
(-.f64 (.f64 (cos.f64 x) -1/4) (+.f64 -1 (/.f64 (.f64 (sin.f64 x) (sin.f64 0)) -4)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) -1/4) 1) 0)
(-.f64 (+.f64 (.f64 (cos.f64 x) -1/4) 1) (/.f64 (.f64 (sin.f64 x) (sin.f64 0)) -4))
(-.f64 (/.f64 (cos.f64 x) -8) (+.f64 -1 (/.f64 (cos.f64 x) 8)))
(-.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -8)) (/.f64 (+.f64 (*.f64 (cos.f64 x) 1/4) -1) 2))
(-.f64 (+.f64 1 (/.f64 (cos.f64 x) -8)) (/.f64 (cos.f64 x) 8))
(*.f64 1/2 (-.f64 (/.f64 (cos.f64 x) -2) -2))
(.f64 1 (+.f64 (.f64 (cos.f64 x) -1/4) 1))
(.f64 (+.f64 (.f64 (cos.f64 x) -1/4) 1) 1)
(*.f64 (-.f64 (/.f64 (cos.f64 x) -2) -2) 1/2)
(.f64 (.f64 2 (-.f64 (/.f64 (cos.f64 x) -2) -2)) 1/4)
(/.f64 (+.f64 (*.f64 (cos.f64 x) -1/4) 1) 1)
(/.f64 (-.f64 (/.f64 (cos.f64 x) -2) -2) 2)
(/.f64 (*.f64 2 (-.f64 (/.f64 (cos.f64 x) -2) -2)) 4)
(pow.f64 (+.f64 (*.f64 (cos.f64 x) -1/4) 1) 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 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x)))
(-.f64 (.f64 -1/2 (cos.f64 x)) (+.f64 -1 (.f64 1/2 (cos.f64 x))))
(+.f64 (.f64 (cos.f64 x) -1/4) (+.f64 (.f64 (cos.f64 x) -3/4) 1))
(-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x)))
(-.f64 (.f64 -1/2 (cos.f64 x)) (+.f64 -1 (.f64 1/2 (cos.f64 x))))
(+.f64 (.f64 (cos.f64 x) -1/4) (+.f64 (.f64 (cos.f64 x) -3/4) 1))
(-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x)))
(-.f64 (.f64 -1/2 (cos.f64 x)) (+.f64 -1 (.f64 1/2 (cos.f64 x))))
(+.f64 (.f64 (cos.f64 x) -1/4) (+.f64 (.f64 (cos.f64 x) -3/4) 1))
(-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x)))
(-.f64 (.f64 -1/2 (cos.f64 x)) (+.f64 -1 (.f64 1/2 (cos.f64 x))))
(+.f64 (.f64 (cos.f64 x) -1/4) (+.f64 (.f64 (cos.f64 x) -3/4) 1))
(-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x)))
(-.f64 (.f64 -1/2 (cos.f64 x)) (+.f64 -1 (.f64 1/2 (cos.f64 x))))
(+.f64 (.f64 (cos.f64 x) -1/4) (+.f64 (.f64 (cos.f64 x) -3/4) 1))
(-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x)))
(-.f64 (.f64 -1/2 (cos.f64 x)) (+.f64 -1 (.f64 1/2 (cos.f64 x))))
(+.f64 (.f64 (cos.f64 x) -1/4) (+.f64 (.f64 (cos.f64 x) -3/4) 1))
(-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x)))
(-.f64 (.f64 -1/2 (cos.f64 x)) (+.f64 -1 (.f64 1/2 (cos.f64 x))))
(+.f64 (.f64 (cos.f64 x) -1/4) (+.f64 (.f64 (cos.f64 x) -3/4) 1))
(-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x)))
(-.f64 (.f64 -1/2 (cos.f64 x)) (+.f64 -1 (.f64 1/2 (cos.f64 x))))
(+.f64 (.f64 (cos.f64 x) -1/4) (+.f64 (.f64 (cos.f64 x) -3/4) 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 1/24 (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 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 (.f64 -1/2 (cos.f64 x)) (+.f64 -1 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))
(/.f64 (+.f64 (.f64 (cos.f64 x) -1/4) (+.f64 (.f64 (cos.f64 x) -3/4) 1)) (sin.f64 x))
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 (.f64 -1/2 (cos.f64 x)) (+.f64 -1 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))
(/.f64 (+.f64 (.f64 (cos.f64 x) -1/4) (+.f64 (.f64 (cos.f64 x) -3/4) 1)) (sin.f64 x))
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 (.f64 -1/2 (cos.f64 x)) (+.f64 -1 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))
(/.f64 (+.f64 (.f64 (cos.f64 x) -1/4) (+.f64 (.f64 (cos.f64 x) -3/4) 1)) (sin.f64 x))
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 (.f64 -1/2 (cos.f64 x)) (+.f64 -1 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))
(/.f64 (+.f64 (.f64 (cos.f64 x) -1/4) (+.f64 (.f64 (cos.f64 x) -3/4) 1)) (sin.f64 x))
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 (.f64 -1/2 (cos.f64 x)) (+.f64 -1 (.f64 1/2 (cos.f64 x)))) (sin.f64 x))
(/.f64 (+.f64 (.f64 (cos.f64 x) -1/4) (+.f64 (.f64 (cos.f64 x) -3/4) 1)) (sin.f64 x))
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (cos.f64 x))) (.f64 1/2 (cos.f64 x))) (sin.f64 x))
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(+.f64 (/.f64 (cos.f64 x) 8) (+.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 -1 (neg.f64 (/.f64 (cos.f64 x) -8)))))
(+.f64 (+.f64 (.f64 -3 (/.f64 (cos.f64 x) -8)) -1/2) (+.f64 (.f64 -3 (/.f64 (cos.f64 x) -8)) -1/2))
(+.f64 (+.f64 -1/2 (.f64 (cos.f64 x) 3/8)) (+.f64 -1/2 (.f64 (cos.f64 x) 3/8)))
(+.f64 (.f64 (cos.f64 x) 3/8) (+.f64 -1/2 (+.f64 -1/2 (.f64 (cos.f64 x) 3/8))))
(+.f64 (+.f64 (+.f64 (*.f64 (cos.f64 x) 1/2) -1) (/.f64 (cos.f64 x) 8)) (/.f64 (cos.f64 x) 8))
(+.f64 (/.f64 (cos.f64 x) 8) (+.f64 -1 (+.f64 (/.f64 (cos.f64 x) 8) (*.f64 1/2 (cos.f64 x)))))
(+.f64 (+.f64 -1 (*.f64 1/2 (cos.f64 x))) (/.f64 (cos.f64 x) 4))
(+.f64 (-.f64 -1 (/.f64 (cos.f64 x) -8)) (neg.f64 (+.f64 (/.f64 (cos.f64 x) -8) (/.f64 (cos.f64 x) -2))))
(+.f64 (/.f64 (cos.f64 x) 8) (neg.f64 (+.f64 1 (+.f64 (/.f64 (cos.f64 x) -8) (/.f64 (cos.f64 x) -2)))))
(+.f64 (/.f64 (cos.f64 x) 8) (+.f64 -1 (neg.f64 (+.f64 (/.f64 (cos.f64 x) -8) (/.f64 (cos.f64 x) -2)))))
(+.f64 (/.f64 (cos.f64 x) 8) (-.f64 -1 (+.f64 (/.f64 (cos.f64 x) -8) (/.f64 (cos.f64 x) -2))))
(+.f64 (-.f64 (-.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) -1/4)) (neg.f64 (+.f64 (.f64 (cos.f64 x) 1/2) -1)))
(-.f64 (-.f64 (cos.f64 x) 2) (+.f64 (.f64 (cos.f64 x) -1/4) (+.f64 -1 (.f64 1/2 (cos.f64 x)))))
(-.f64 (cos.f64 x) (+.f64 (+.f64 (.f64 (cos.f64 x) -1/4) (+.f64 -1 (.f64 1/2 (cos.f64 x)))) 2))
(+.f64 (-.f64 1 (.f64 1/2 (cos.f64 x))) (+.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 x) -1/4)) -2))
(+.f64 (-.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) -1/4) 1)) (/.f64 (cos.f64 x) -2))
(+.f64 (/.f64 (cos.f64 x) -2) (+.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 x) -1/4)) -1))
(+.f64 -1 (+.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 x) -1/4)) (/.f64 (cos.f64 x) -2)))
(+.f64 -1/2 (/.f64 (+.f64 -1 (.f64 (.f64 (cos.f64 x) 3/4) 2)) 2))
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) 1/4) (.f64 1/2 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) 3/4) -1)
(+.f64 (-.f64 -1 (+.f64 (/.f64 (cos.f64 x) -8) (/.f64 (cos.f64 x) -2))) (/.f64 (cos.f64 x) 8))
(+.f64 (/.f64 (cos.f64 x) 8) (neg.f64 (+.f64 1 (+.f64 (/.f64 (cos.f64 x) -8) (/.f64 (cos.f64 x) -2)))))
(+.f64 (/.f64 (cos.f64 x) 8) (+.f64 -1 (neg.f64 (+.f64 (/.f64 (cos.f64 x) -8) (/.f64 (cos.f64 x) -2)))))
(+.f64 (/.f64 (cos.f64 x) 8) (-.f64 -1 (+.f64 (/.f64 (cos.f64 x) -8) (/.f64 (cos.f64 x) -2))))
(+.f64 (-.f64 (*.f64 (cos.f64 x) 1/2) (+.f64 1/2 (/.f64 (cos.f64 x) -8))) (neg.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -8))))
(-.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -8)) (+.f64 1/2 (/.f64 (cos.f64 x) -8))))
(+.f64 (/.f64 (+.f64 (*.f64 (cos.f64 x) 1/2) -1) 2) (/.f64 (-.f64 1 (cos.f64 x)) -2))
(+.f64 (+.f64 (/.f64 (*.f64 1/2 (cos.f64 x)) 2) -1/2) (-.f64 -1/2 (/.f64 (cos.f64 x) -2)))
(+.f64 (+.f64 -1/2 (/.f64 (*.f64 1/2 (cos.f64 x)) 2)) (-.f64 -1/2 (/.f64 (cos.f64 x) -2)))
(+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) 1/4) -1) 2) (/.f64 (+.f64 (.f64 (cos.f64 x) 1/4) (+.f64 (cos.f64 x) -1)) 2))
(/.f64 (+.f64 (+.f64 (.f64 (cos.f64 x) 1/4) -1) (+.f64 (.f64 (cos.f64 x) 1/4) (+.f64 (cos.f64 x) -1))) 2)
(/.f64 (+.f64 (.f64 (cos.f64 x) 1/4) (+.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 (cos.f64 x) 1/4) -1))) 2)
(/.f64 (+.f64 (.f64 (cos.f64 x) 1/4) (-.f64 (+.f64 (cos.f64 x) (.f64 (cos.f64 x) 1/4)) 2)) 2)
(.f64 1/2 (-.f64 (.f64 (*.f64 (cos.f64 x) 3/4) 2) 2))
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) 1/4) (.f64 1/2 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) 3/4) -1)
(.f64 1 (+.f64 (.f64 (cos.f64 x) 3/4) -1))
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) 1/4) (.f64 1/2 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) 3/4) -1)
(.f64 (+.f64 (.f64 (cos.f64 x) 3/4) -1) 1)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) 1/4) (.f64 1/2 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) 3/4) -1)
(.f64 (-.f64 1 (.f64 (cos.f64 x) 3/4)) -1)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) 1/4) (.f64 1/2 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) 3/4) -1)
(.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) 3/4) 2) 2) 1/2)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) 1/4) (.f64 1/2 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) 3/4) -1)
(.f64 (.f64 2 (-.f64 (.f64 (.f64 (cos.f64 x) 3/4) 2) 2)) 1/4)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) 1/4) (.f64 1/2 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) 3/4) -1)
(*.f64 (-.f64 (cos.f64 x) (-.f64 (/.f64 (cos.f64 x) -2) -2)) 1/2)
(*.f64 1/2 (-.f64 (cos.f64 x) (-.f64 (/.f64 (cos.f64 x) -2) -2)))
(.f64 1/2 (-.f64 -2 (.f64 3 (/.f64 (cos.f64 x) -2))))
(/.f64 (+.f64 (*.f64 (cos.f64 x) 3/4) -1) 1)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) 1/4) (.f64 1/2 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) 3/4) -1)
(/.f64 (-.f64 1 (*.f64 (cos.f64 x) 3/4)) -1)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) 1/4) (.f64 1/2 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) 3/4) -1)
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) 3/4) 2) 2) 2)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) 1/4) (.f64 1/2 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) 3/4) -1)
(/.f64 (.f64 2 (-.f64 (.f64 (*.f64 (cos.f64 x) 3/4) 2) 2)) 4)
(/.f64 (.f64 2 (-.f64 (.f64 2 (*.f64 (cos.f64 x) 3/4)) 2)) 4)
(/.f64 (.f64 2 (-.f64 (.f64 (cos.f64 x) 3/2) 2)) 4)
(/.f64 (-.f64 (cos.f64 x) (-.f64 (/.f64 (cos.f64 x) -2) -2)) 2)
(-.f64 -1 (/.f64 (*.f64 3 (/.f64 (cos.f64 x) -2)) 2))
(-.f64 (*.f64 -3 (/.f64 (cos.f64 x) -4)) 1)
(/.f64 (+.f64 (-.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) 1/2)) 2)
(/.f64 (+.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (cos.f64 x) 2)) 2)
(/.f64 (-.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 2 (cos.f64 x))) 2)
(/.f64 (+.f64 (*.f64 (cos.f64 x) 1/2) (-.f64 (cos.f64 x) 2)) 2)
(/.f64 (+.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (cos.f64 x) 2)) 2)
(/.f64 (-.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 2 (cos.f64 x))) 2)
(/.f64 (-.f64 (.f64 (cos.f64 x) 2) (.f64 2 (-.f64 (/.f64 (cos.f64 x) -2) -2))) 4)
(/.f64 (*.f64 2 (-.f64 (cos.f64 x) (-.f64 (/.f64 (cos.f64 x) -2) -2))) 4)
(/.f64 (.f64 (-.f64 -2 (.f64 3 (/.f64 (cos.f64 x) -2))) 4) 8)
(/.f64 (.f64 4 (-.f64 -2 (.f64 3 (/.f64 (cos.f64 x) -2)))) 8)
(/.f64 (-.f64 (-.f64 (cos.f64 x) 2) (/.f64 (cos.f64 x) -2)) 2)
(/.f64 (-.f64 (cos.f64 x) (-.f64 (/.f64 (cos.f64 x) -2) -2)) 2)
(-.f64 -1 (/.f64 (*.f64 3 (/.f64 (cos.f64 x) -2)) 2))
(-.f64 (*.f64 -3 (/.f64 (cos.f64 x) -4)) 1)
(pow.f64 (+.f64 (*.f64 (cos.f64 x) 3/4) -1) 1)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) 1/4) (.f64 1/2 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) 3/4) -1)
(neg.f64 (-.f64 1 (*.f64 (cos.f64 x) 3/4)))
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) 1/4) (.f64 1/2 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) 3/4) -1)
(-.f64 (*.f64 (cos.f64 x) -1/4) -1)
(+.f64 1 (*.f64 (cos.f64 x) -1/4))
(-.f64 (.f64 (cos.f64 x) -1/4) (+.f64 -1 (/.f64 (.f64 (sin.f64 x) (sin.f64 0)) -4)))
(+.f64 1 (*.f64 (cos.f64 x) -1/4))
(-.f64 (+.f64 (*.f64 (cos.f64 x) -1/4) 1) 0)
(+.f64 1 (*.f64 (cos.f64 x) -1/4))
(-.f64 (+.f64 (.f64 (cos.f64 x) -1/4) 1) (/.f64 (.f64 (sin.f64 x) (sin.f64 0)) -4))
(+.f64 1 (*.f64 (cos.f64 x) -1/4))
(-.f64 (/.f64 (cos.f64 x) -8) (+.f64 -1 (/.f64 (cos.f64 x) 8)))
(+.f64 (/.f64 (cos.f64 x) -8) (+.f64 1 (/.f64 (cos.f64 x) -8)))
(+.f64 (/.f64 (cos.f64 x) -4) 1)
(-.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -8)) (/.f64 (+.f64 (*.f64 (cos.f64 x) 1/4) -1) 2))
(-.f64 (+.f64 1/2 (/.f64 (cos.f64 x) -8)) (+.f64 -1/2 (/.f64 (*.f64 (cos.f64 x) 1/4) 2)))
(-.f64 (+.f64 1 (/.f64 (cos.f64 x) -8)) (/.f64 (cos.f64 x) 8))
(-.f64 (/.f64 (cos.f64 x) -8) (+.f64 -1 (/.f64 (cos.f64 x) 8)))
(+.f64 (/.f64 (cos.f64 x) -8) (+.f64 1 (/.f64 (cos.f64 x) -8)))
(+.f64 (/.f64 (cos.f64 x) -4) 1)
(*.f64 1/2 (-.f64 (/.f64 (cos.f64 x) -2) -2))
(.f64 1 (+.f64 (.f64 (cos.f64 x) -1/4) 1))
(+.f64 1 (*.f64 (cos.f64 x) -1/4))
(.f64 (+.f64 (.f64 (cos.f64 x) -1/4) 1) 1)
(+.f64 1 (*.f64 (cos.f64 x) -1/4))
(*.f64 (-.f64 (/.f64 (cos.f64 x) -2) -2) 1/2)
(*.f64 1/2 (-.f64 (/.f64 (cos.f64 x) -2) -2))
(.f64 (.f64 2 (-.f64 (/.f64 (cos.f64 x) -2) -2)) 1/4)
(*.f64 1/2 (-.f64 (/.f64 (cos.f64 x) -2) -2))
(/.f64 (+.f64 (*.f64 (cos.f64 x) -1/4) 1) 1)
(+.f64 1 (*.f64 (cos.f64 x) -1/4))
(/.f64 (-.f64 (/.f64 (cos.f64 x) -2) -2) 2)
(-.f64 (/.f64 (cos.f64 x) -8) (+.f64 -1 (/.f64 (cos.f64 x) 8)))
(+.f64 (/.f64 (cos.f64 x) -8) (+.f64 1 (/.f64 (cos.f64 x) -8)))
(+.f64 (/.f64 (cos.f64 x) -4) 1)
(/.f64 (*.f64 2 (-.f64 (/.f64 (cos.f64 x) -2) -2)) 4)
(pow.f64 (+.f64 (*.f64 (cos.f64 x) -1/4) 1) 1)
(+.f64 1 (*.f64 (cos.f64 x) -1/4))

eval557.0ms (3.5%)

Compiler: Compiled 19940 to 12785 computations (35.9% saved)

prune328.0ms (2.1%)

Pruning

36 alts after pruning (28 fresh and 8 done)

	Pruned	Kept	Total
New	1015	13	1028
Fresh	7	15	22
Picked	0	1	1
Done	1	7	8
Total	1023	36	1059

Error

0.1b

Counts

1059 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	32.6b	(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 2 (sin.f64 x))))
✓	32.5b	(/.f64 (-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) -4)))) (sin.f64 x))
	32.5b	(/.f64 (-.f64 (/.f64 (cos.f64 x) -4) (-.f64 -1 (*.f64 (cos.f64 x) -3/4))) (sin.f64 x))
	32.5b	(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) (cos.f64 x)) (*.f64 2 (sin.f64 x)))
	32.5b	(/.f64 (-.f64 (+.f64 1/2 (-.f64 1 (cos.f64 x))) 1/2) (sin.f64 x))
✓	32.5b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	32.5b	(/.f64 (-.f64 1/2 (+.f64 -1/2 (cos.f64 x))) (sin.f64 x))
	32.5b	(/.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)))
	32.5b	(/.f64 (+.f64 (-.f64 (.f64 (cos.f64 x) -3/8) (+.f64 -1 (.f64 1/2 (cos.f64 x)))) (/.f64 (cos.f64 x) -8)) (sin.f64 x))
	32.5b	(-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -8)) (/.f64 (-.f64 (+.f64 (.f64 (cos.f64 x) 3/4) (cos.f64 x)) 2) (*.f64 2 (sin.f64 x))))
	32.6b	(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
	33.2b	(-.f64 (-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 -1/2 (sin.f64 x)) 1)) -1)
	33.3b	(-.f64 (-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) 1) (-.f64 (/.f64 (+.f64 -1/2 (cos.f64 x)) (/.f64 (sin.f64 x) 2)) (-.f64 (/.f64 1 (sin.f64 x)) 2))) -1)
	60.9b	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) 1) -1)
	32.5b	(-.f64 (-.f64 -1 (/.f64 (+.f64 (+.f64 (cos.f64 x) -2) (+.f64 (cos.f64 x) (+.f64 -2 (.f64 2 (cos.f64 x))))) (.f64 4 (sin.f64 x)))) -1)
✓	32.5b	(-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
	33.2b	(-.f64 (+.f64 (-.f64 -1/2 (-.f64 (.f64 1/2 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))) (-.f64 -1/2 (/.f64 -1/4 (sin.f64 x))))) (/.f64 (+.f64 -1 (cos.f64 x)) (.f64 (sin.f64 x) -2))) -1)
	33.2b	(-.f64 (.f64 -1/2 (/.f64 (+.f64 -1 (.f64 2 (+.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1/2)))) (sin.f64 x))) -1)
✓	61.1b	(-.f64 -1 -1)
	32.5b	(+.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)))
	32.5b	(+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))
▶	32.6b	(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) (+.f64 (+.f64 -1 (/.f64 1 (sin.f64 x))) 1))
	32.5b	(+.f64 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2))) (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (.f64 (sin.f64 x) 2))))
▶	32.5b	(+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
✓	29.6b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
✓	29.5b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
▶	32.6b	(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) 2)) (/.f64 1 (/.f64 2 (sin.f64 x))))
	34.5b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2)) (/.f64 1 (/.f64 1 (sin.f64 x))))
	32.5b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	34.5b	(.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (+.f64 (cos.f64 (+.f64 x x)) -1))) (/.f64 1 (/.f64 1 (sin.f64 x))))
✓	24.1b	(*.f64 1/2 (/.f64 1 (/.f64 1 (sin.f64 x))))
▶	29.0b	(*.f64 1/2 (/.f64 1 (/.f64 1 x)))
	28.8b	(.f64 1/2 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/6))))
	29.6b	(.f64 1/2 (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
▶	24.0b	(*.f64 1/2 (sin.f64 x))
✓	28.9b	(*.f64 1/2 x)

Compiler

Compiled 1059 to 790 computations (25.4% saved)

localize45.0ms (0.3%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 1 x))

Compiler

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite214.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2122×	`rational_best-1`
752×	`rational_best-simplify-49`
668×	`rational_best-simplify-53`
514×	`rational_best-simplify-50`
506×	`rational_best-simplify-55`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	43	13
2	99	13
3	275	13
4	1099	1
5	7668	1

Stop Event

1×	node limit

Counts

1 → 121

Calls

Call 1

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

Outputs

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

simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1500×	`rational_best-simplify-1`
1022×	`rational_best-simplify-65`
646×	`rational_best-simplify-70`
630×	`rational_best-simplify-50`
614×	`rational_best-simplify-67`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	1427
1	716	1403
2	2717	1351

Stop Event

1×	node limit

Counts

133 → 137

Calls

Call 1

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

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
x
(+.f64 x (/.f64 0 (/.f64 1 x)))
(+.f64 x (/.f64 0 (/.f64 4 x)))
(+.f64 0 x)
x
(+.f64 (.f64 x 1/2) (.f64 x 1/2))
x
(+.f64 (.f64 x 1/4) (/.f64 (.f64 x 3) 4))
(+.f64 (.f64 x 1/4) (-.f64 (.f64 x 1/4) (/.f64 x -2)))
(+.f64 (.f64 x 1/4) (-.f64 (.f64 x 1/4) (*.f64 x -1/2)))
(+.f64 (/.f64 (.f64 x 3) 4) (.f64 x 1/4))
(+.f64 (.f64 x 1/4) (/.f64 (.f64 x 3) 4))
(+.f64 (/.f64 0 (/.f64 1 x)) x)
(+.f64 x (/.f64 0 (/.f64 1 x)))
(+.f64 x (/.f64 0 (/.f64 4 x)))
(+.f64 (/.f64 (.f64 x 3) 8) (/.f64 (+.f64 x (.f64 x 4)) 8))
(/.f64 (+.f64 (.f64 x 3) (+.f64 x (.f64 x 4))) 8)
(/.f64 (+.f64 (.f64 x 3) (.f64 x 5)) 8)
(/.f64 (*.f64 x 16) 16)
(-.f64 x 0)
x
(-.f64 x (/.f64 0 (/.f64 1 x)))
(-.f64 x (/.f64 0 (/.f64 4 x)))
(-.f64 0 (neg.f64 x))
x
(-.f64 (+.f64 x x) x)
x
(-.f64 (*.f64 x 1/2) (/.f64 x -2))
x
(-.f64 (.f64 x 1/2) (/.f64 (.f64 x (neg.f64 x)) (+.f64 x x)))
(-.f64 (.f64 x 1/2) (.f64 -1/2 (/.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x 1/2) (/.f64 -1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 1/2) (/.f64 -2 (/.f64 4 x)))
(-.f64 (*.f64 x 1/4) (+.f64 (/.f64 x -2) (/.f64 x -4)))
(-.f64 (.f64 x 1/4) (/.f64 (.f64 x 3) -4))
(-.f64 (.f64 x 1/4) (/.f64 (.f64 -3 (*.f64 x 1/2)) 2))
(-.f64 (.f64 x 1/4) (/.f64 (.f64 1/2 (*.f64 x -3)) 2))
(-.f64 (.f64 x 1/4) (/.f64 (.f64 x -3/2) 2))
(-.f64 (.f64 x 1/4) (/.f64 (.f64 x -3) 4))
(-.f64 (.f64 x 1/4) (/.f64 (.f64 1/2 (*.f64 x -3)) 2))
(-.f64 (.f64 x 1/4) (/.f64 (.f64 x -3/2) 2))
(-.f64 (/.f64 (*.f64 x 3) 4) (/.f64 x -4))
(-.f64 (-.f64 (*.f64 x 1/4) (/.f64 x -2)) (/.f64 x -4))
(-.f64 (*.f64 x 1/4) (+.f64 (/.f64 x -2) (/.f64 x -4)))
(-.f64 (.f64 x 1/4) (/.f64 (.f64 x 3) -4))
(-.f64 (/.f64 (+.f64 x (.f64 x 4)) 8) (/.f64 (.f64 x -3) 8))
(/.f64 (+.f64 (.f64 x 3) (+.f64 x (.f64 x 4))) 8)
(/.f64 (+.f64 (.f64 x 3) (.f64 x 5)) 8)
(/.f64 (*.f64 x 16) 16)
(*.f64 1 x)
x
(*.f64 x 1)
x
(.f64 (/.f64 1 x) (.f64 x x))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 2 (.f64 x 1/2))
x
(.f64 2 (.f64 (/.f64 1/2 x) (*.f64 x x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(*.f64 (+.f64 x x) 1/2)
x
(.f64 (+.f64 x x) (.f64 (*.f64 x 1/2) (/.f64 1 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (+.f64 x x) (.f64 (+.f64 x x) (/.f64 1/4 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (+.f64 x x) (.f64 x (/.f64 1/2 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (/.f64 2 x) (/.f64 (.f64 x x) 2))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (/.f64 2 x) (.f64 1/2 (*.f64 x x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (/.f64 2 x) (.f64 (*.f64 x x) 1/2))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(*.f64 (neg.f64 x) -1)
x
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (/.f64 1 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 4 (.f64 x 1/4))
x
(.f64 4 (.f64 (/.f64 1/4 x) (*.f64 x x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 4 (.f64 (/.f64 (*.f64 x x) 2) (/.f64 1/2 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (/.f64 4 x) (/.f64 (.f64 x x) 4))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (/.f64 4 x) (.f64 (/.f64 (*.f64 x x) 2) 1/2))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 x 4) 1/4)
x
(.f64 (.f64 x 4) (*.f64 x (/.f64 1/4 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 x 4) (.f64 (.f64 x 1/2) (/.f64 1/2 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 x x) (/.f64 1 x))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(*.f64 -1 (neg.f64 x))
x
(*.f64 1/2 (+.f64 x x))
x
(.f64 (.f64 x 1/2) 2)
x
(.f64 (.f64 x 1/2) (*.f64 (+.f64 x x) (/.f64 1 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (/.f64 1/4 x) (.f64 x (*.f64 x 4)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(*.f64 8 (/.f64 x 8))
x
(.f64 8 (.f64 (*.f64 x 1/4) 1/2))
x
(.f64 (.f64 x (+.f64 x x)) (/.f64 1/2 x))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 x (+.f64 x x)) (*.f64 (/.f64 1 x) 1/2))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 x (+.f64 x x)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 x (+.f64 x x)) (*.f64 2 (/.f64 1/4 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 x (+.f64 x x)) (/.f64 1/4 (*.f64 x 1/2)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (/.f64 1/2 x) (.f64 x (+.f64 x x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (/.f64 1/2 x) (/.f64 (.f64 x x) 1/2))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (/.f64 x -2) (/.f64 (.f64 x -2) x))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 x (*.f64 x 4)) (/.f64 1/4 x))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 x (.f64 x 4)) (.f64 (/.f64 1/2 x) 1/2))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 x -2) -1/2)
x
(.f64 (.f64 x -2) (.f64 (.f64 x -2) (/.f64 1/4 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 x -2) (*.f64 (neg.f64 x) (/.f64 1/2 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (/.f64 8 x) (/.f64 (.f64 x x) 8))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (/.f64 8 x) (.f64 (/.f64 (*.f64 x x) 4) 1/2))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 2 (*.f64 x 4)) 1/8)
x
(.f64 (.f64 2 (.f64 x 4)) (.f64 (*.f64 x 1/4) (/.f64 1/2 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 -1/2 (.f64 x -2))
x
(*.f64 -2 (/.f64 x -2))
x
(.f64 -2 (.f64 (neg.f64 x) 1/2))
x
(.f64 -2 (.f64 (*.f64 x (neg.f64 x)) (/.f64 1/2 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(*.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 x))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (/.f64 (.f64 x x) 2) (/.f64 2 x))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 x -4) -1/4)
x
(.f64 1/4 (.f64 x 4))
x
(.f64 1/4 (.f64 (/.f64 4 x) (*.f64 x x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (/.f64 (.f64 x x) 4) (/.f64 4 x))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(*.f64 (/.f64 x 8) 8)
x
(.f64 (/.f64 1/2 (.f64 x 4)) (.f64 8 (.f64 x x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 x (neg.f64 x)) (/.f64 -1 x))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 (.f64 x x) 8) (/.f64 1/2 (.f64 x 4)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 (*.f64 x x) 8) (/.f64 (/.f64 1 x) 8))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 (.f64 x x) 8) (.f64 1/4 (/.f64 1/2 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 (*.f64 x x) 8) (/.f64 1/4 (+.f64 x x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(*.f64 16 (/.f64 1 (/.f64 16 x)))
(*.f64 1 (/.f64 16 (/.f64 16 x)))
(/.f64 16 (/.f64 16 x))
(.f64 16 (/.f64 (.f64 x x) (*.f64 16 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(*.f64 16 (/.f64 1/2 (/.f64 8 x)))
(*.f64 16 (/.f64 1 (/.f64 16 x)))
(*.f64 1 (/.f64 16 (/.f64 16 x)))
(/.f64 16 (/.f64 16 x))
(.f64 16 (.f64 (/.f64 x 8) 1/2))
x
(.f64 (.f64 x 1/4) 4)
x
(.f64 (.f64 x 1/4) (.f64 (.f64 x 4) (/.f64 1 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 16 x) 1/16)
x
(.f64 (.f64 16 x) (/.f64 x (*.f64 16 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 (.f64 x x) 16) (/.f64 1 (.f64 16 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 (*.f64 x x) 16) (/.f64 (/.f64 1 x) 16))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 (*.f64 x x) 16) (/.f64 (/.f64 1/4 x) 4))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 (.f64 x x) 16) (/.f64 1/4 (.f64 x 4)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (/.f64 1 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) x))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 2 (fabs.f64 x)) (*.f64 (fabs.f64 x) (/.f64 1/2 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (/.f64 (fabs.f64 x) 2) (.f64 (*.f64 2 (fabs.f64 x)) (/.f64 1 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (/.f64 (.f64 x -2) x) (/.f64 x -2))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 (/.f64 1 x) 1/2) (/.f64 (+.f64 x x) (/.f64 1 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (/.f64 (neg.f64 x) (.f64 x 4)) (/.f64 (neg.f64 x) 1/4))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2 (fabs.f64 x))) (.f64 (/.f64 (fabs.f64 x) 2) (/.f64 1/2 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 (/.f64 1 x) (+.f64 x x)) (*.f64 x 1/2))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 (neg.f64 x) (+.f64 x x)) (/.f64 -1/2 x))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 (/.f64 1 x) (.f64 x 4)) (.f64 x 1/4))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 (neg.f64 x) (*.f64 x 4)) (/.f64 -1/4 x))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 (/.f64 1 x) (*.f64 x 1/2)) (+.f64 x x))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 (neg.f64 x) 1/2) (/.f64 (+.f64 x x) (neg.f64 x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 (neg.f64 x) (*.f64 x 1/2)) (/.f64 -2 x))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (/.f64 4 x))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(.f64 (/.f64 (fabs.f64 x) (.f64 x 4)) (/.f64 (fabs.f64 x) 1/4))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(*.f64 (/.f64 (fabs.f64 x) x) (fabs.f64 x))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(*.f64 (/.f64 (fabs.f64 x) (+.f64 x x)) (/.f64 (fabs.f64 x) 1/2))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(*.f64 (/.f64 (fabs.f64 x) 1/2) (/.f64 (fabs.f64 x) (+.f64 x x)))
(/.f64 x (/.f64 x x))
(/.f64 (*.f64 x x) x)
(pow.f64 x 1)
x
(neg.f64 (neg.f64 x))
x

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 22 computations (43.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite189.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`rational_best-simplify-1`
630×	`rational_best-simplify-79`
554×	`rational_best-simplify-73`
534×	`rational_best-simplify-47`
402×	`rational_best-simplify-62`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	89	54
2	239	52
3	854	48
4	5014	48

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (/.f64 (+.f64 (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 1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (sin.f64 x)) (+.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) -2)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2))) (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 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simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1362×	`rational_best-simplify-64`
956×	`rational_best-simplify-55`
822×	`rational_best-simplify-3`
612×	`rational_best-simplify-108`
612×	`rational_best-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	4232
1	971	3808
2	3159	3726

Stop Event

1×	node limit

Counts

144 → 151

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (sin.f64 x))
✓	0.2b	(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
✓	0.6b	(+.f64 -1 (/.f64 1 (sin.f64 x)))
✓	2.4b	(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) (+.f64 (+.f64 -1 (/.f64 1 (sin.f64 x))) 1))

Compiler

Compiled 50 to 26 computations (48% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite112.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1934×	`rational_best-1`
1930×	`rational_best-2`
1930×	`rational_best-3`
606×	`rational_best-simplify-52`
574×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	83
1	105	71
2	268	61
3	980	57
4	6357	57

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

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

Outputs

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

simplify123.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1142×	`rational_best-simplify-47`
1090×	`rational_best-simplify-1`
788×	`rational_best-simplify-48`
752×	`rational_best-simplify-52`
642×	`rational_best-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	387	5722
1	1137	4458
2	3760	4414

Stop Event

1×	node limit

Counts

204 → 213

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 -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 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) 1)
(-.f64 (+.f64 (.f64 1/6 x) (+.f64 (.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))) 1)
(-.f64 (/.f64 1 (sin.f64 x)) 1)
(-.f64 (/.f64 1 (sin.f64 x)) 1)
(-.f64 (/.f64 1 (sin.f64 x)) 1)
(-.f64 (/.f64 1 (sin.f64 x)) 1)
(-.f64 (/.f64 1 (sin.f64 x)) 1)
(-.f64 (/.f64 1 (sin.f64 x)) 1)
(-.f64 (/.f64 1 (sin.f64 x)) 1)
(-.f64 (/.f64 1 (sin.f64 x)) 1)
(/.f64 -1 x)
(-.f64 (*.f64 1/3 x) (/.f64 1 x))
(-.f64 (+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 1/3 x) (+.f64 (.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) (/.f64 1 x))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 -1 (sin.f64 x)))
(-.f64 1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 -1 (sin.f64 x)))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 (+.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) 1))
(-.f64 (+.f64 -1 (/.f64 1 (sin.f64 x))) (+.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 -1 (/.f64 1 (sin.f64 x))) (+.f64 (+.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) 0))
(-.f64 (+.f64 -1 (/.f64 1 (sin.f64 x))) (neg.f64 (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 0 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 -1 (sin.f64 x))))
(-.f64 0 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 0 (-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))))
(-.f64 0 (+.f64 -1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 -1 (sin.f64 x))))))
(-.f64 0 (+.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 -1 (sin.f64 x))) 0))
(-.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(-.f64 (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 1 (/.f64 -1 (sin.f64 x))))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)) (-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2)))))
(-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)) (-.f64 0 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2))))
(-.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 -1 (sin.f64 x)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2))))
(-.f64 (/.f64 2 (sin.f64 x)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (*.f64 -2 (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) -2) (+.f64 (+.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) -1))
(-.f64 (+.f64 -1 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2))) (+.f64 -1 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2))))
(-.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2)))
(-.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 0 (/.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 (cos.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 1/2 (sin.f64 x))))
(-.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))
(-.f64 (+.f64 (+.f64 -1/2 (/.f64 1/2 (sin.f64 x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (+.f64 -1/2 (/.f64 1/2 (sin.f64 x)))))
(-.f64 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (-.f64 0 (/.f64 1/2 (sin.f64 x))))
(-.f64 (+.f64 (+.f64 -1/2 (/.f64 1/2 (sin.f64 x))) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))) (-.f64 0 (+.f64 -1/2 (/.f64 1/2 (sin.f64 x)))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)) (/.f64 -1 (sin.f64 x))) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2)))
(-.f64 (-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x))) 1)
(-.f64 (-.f64 (/.f64 1 (sin.f64 x)) (+.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))) 1)
(-.f64 (-.f64 (+.f64 -1 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2))) -1) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2)))
(-.f64 (-.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2)) -1) (+.f64 1 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2))))
(-.f64 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 0 (/.f64 1/2 (sin.f64 x))))
(-.f64 (-.f64 (+.f64 -1/2 (/.f64 1/2 (sin.f64 x))) -1) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 -1/2 (/.f64 1/2 (sin.f64 x)))))
(-.f64 (+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)) (+.f64 1 (/.f64 1 (sin.f64 x)))) (+.f64 1 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2))))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (+.f64 4 (*.f64 (cos.f64 x) -4)))
(.f64 (.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) 1/4)
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2)
(.f64 (+.f64 4 (.f64 (cos.f64 x) -4)) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (/.f64 1/2 (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 2 (.f64 (cos.f64 x) -2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 -1 (sin.f64 x))) -1)
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) 4)
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
(/.f64 (+.f64 4 (.f64 (cos.f64 x) -4)) (.f64 (sin.f64 x) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (.f64 (sin.f64 x) 2))
(/.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 2 (*.f64 (cos.f64 x) -2)) 2) (sin.f64 x))
(/.f64 (+.f64 (/.f64 (*.f64 (cos.f64 x) -4) (sin.f64 x)) (/.f64 4 (sin.f64 x))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 x) -4)) 8) (.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 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (+.f64 2 (.f64 (cos.f64 x) -2))) (*.f64 (sin.f64 x) 4))
(/.f64 (+.f64 (+.f64 4 (.f64 (cos.f64 x) -4)) (+.f64 4 (.f64 (cos.f64 x) -4))) (.f64 2 (.f64 (sin.f64 x) 4)))
(/.f64 (+.f64 (/.f64 4 (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) -4) (sin.f64 x))) 4)
(/.f64 (+.f64 8 (.f64 2 (.f64 (cos.f64 x) -4))) (.f64 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)))
(/.f64 (/.f64 (+.f64 4 (*.f64 (cos.f64 x) -4)) (sin.f64 x)) 4)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(-.f64 (/.f64 1 (sin.f64 x)) 1)
(-.f64 (+.f64 -1 (/.f64 1 (sin.f64 x))) 0)
(-.f64 0 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) 2)
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) -2) -1)
(-.f64 (+.f64 -1/2 (/.f64 1/2 (sin.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 (sin.f64 x))) 2))
(*.f64 1 (+.f64 -1 (/.f64 1 (sin.f64 x))))
(*.f64 1 (/.f64 (-.f64 1 (sin.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (sin.f64 x)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 1 (-.f64 1 (sin.f64 x))))
(*.f64 (+.f64 -1 (/.f64 1 (sin.f64 x))) 1)
(.f64 2 (/.f64 (-.f64 1 (sin.f64 x)) (.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 (-.f64 1 (sin.f64 x)) 2))
(.f64 4 (/.f64 (-.f64 1 (sin.f64 x)) (.f64 (sin.f64 x) 4)))
(*.f64 (+.f64 -2 (/.f64 2 (sin.f64 x))) 1/2)
(*.f64 1/2 (+.f64 -2 (/.f64 2 (sin.f64 x))))
(.f64 1/2 (.f64 (/.f64 2 (sin.f64 x)) (-.f64 1 (sin.f64 x))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 4 (-.f64 1 (sin.f64 x))))
(.f64 (.f64 2 (+.f64 -2 (/.f64 2 (sin.f64 x)))) 1/4)
(*.f64 (/.f64 4 (sin.f64 x)) (/.f64 (-.f64 1 (sin.f64 x)) 4))
(.f64 8 (/.f64 (-.f64 1 (sin.f64 x)) (.f64 2 (*.f64 (sin.f64 x) 4))))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 2 (-.f64 1 (sin.f64 x))))
(*.f64 (-.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (-.f64 (sin.f64 x) 1) (/.f64 -1 (sin.f64 x)))
(/.f64 (+.f64 -1 (/.f64 1 (sin.f64 x))) 1)
(/.f64 (+.f64 -2 (/.f64 2 (sin.f64 x))) 2)
(/.f64 (*.f64 2 (+.f64 -2 (/.f64 2 (sin.f64 x)))) 4)
(/.f64 (+.f64 (.f64 2 (+.f64 -2 (/.f64 2 (sin.f64 x)))) (.f64 2 (+.f64 -2 (/.f64 2 (sin.f64 x))))) 8)
(pow.f64 (+.f64 -1 (/.f64 1 (sin.f64 x))) 1)
(neg.f64 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 -1 (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 0 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)))
(+.f64 (/.f64 (.f64 (cos.f64 x) -3) (.f64 (sin.f64 x) 2)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) 4)) (/.f64 (.f64 (cos.f64 x) -3) (*.f64 (sin.f64 x) 4)))
(+.f64 (/.f64 (-.f64 -1 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(+.f64 (/.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)) 2) (/.f64 (/.f64 (.f64 (cos.f64 x) -3) (*.f64 (sin.f64 x) 2)) 2))
(+.f64 (-.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) 1)
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 0 (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2)))
(-.f64 (*.f64 -2 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) 4)) (/.f64 (.f64 -3 (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) 4)))
(-.f64 (/.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)) 2) (/.f64 (.f64 -3 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -2))) 2))
(-.f64 (/.f64 (/.f64 (.f64 (cos.f64 x) -3) (.f64 (sin.f64 x) 2)) 2) (/.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 2))
(-.f64 (/.f64 (.f64 (cos.f64 x) -3) (.f64 (sin.f64 x) 4)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 4)))
(*.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(.f64 2 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)))
(.f64 2 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) -2)))
(.f64 (.f64 (cos.f64 x) -2) (/.f64 1/2 (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)
(.f64 (.f64 (cos.f64 x) 2) (/.f64 1 (*.f64 (sin.f64 x) -2)))
(*.f64 (/.f64 -1 (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 (cos.f64 x) -2))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 1 (/.f64 (cos.f64 x) -2)))
(.f64 4 (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) 4)))
(.f64 4 (.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) -2)))
(.f64 (.f64 -2 (/.f64 (cos.f64 x) (sin.f64 x))) 1/2)
(.f64 (.f64 (cos.f64 x) -4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(*.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 2)) -1/2)
(.f64 1/2 (.f64 -2 (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 1/2 (.f64 (/.f64 2 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 (cos.f64 x) -4))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 4 (neg.f64 (cos.f64 x))))
(.f64 (/.f64 (.f64 (cos.f64 x) -4) (sin.f64 x)) 1/4)
(.f64 (.f64 2 (.f64 (cos.f64 x) -4)) (/.f64 1 (.f64 2 (*.f64 (sin.f64 x) 4))))
(*.f64 (/.f64 4 (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) 4))
(.f64 (/.f64 4 (sin.f64 x)) (.f64 1/2 (/.f64 (cos.f64 x) -2)))
(.f64 8 (/.f64 (neg.f64 (cos.f64 x)) (.f64 2 (*.f64 (sin.f64 x) 4))))
(.f64 8 (.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (/.f64 (cos.f64 x) -2)))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (cos.f64 x) -2))
(.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 -1 (sin.f64 x))))
(.f64 (/.f64 (.f64 (cos.f64 x) -2) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 2 (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 -1 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (*.f64 (cos.f64 x) -2)) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 -1 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (*.f64 -2 (/.f64 (cos.f64 x) (sin.f64 x)))) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 x) -4)) (/.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (sin.f64 x)))
(pow.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (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 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.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 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.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 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.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 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.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 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.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 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.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 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.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 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) 1)
(+.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6)) -1)
(+.f64 -1 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))
(-.f64 (+.f64 (.f64 1/6 x) (+.f64 (.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))) 1)
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) 7/360) (.f64 x 1/6))) -1)
(+.f64 -1 (+.f64 (.f64 x 1/6) (+.f64 (/.f64 1 x) (.f64 (pow.f64 x 3) 7/360))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) (.f64 (pow.f64 x 3) 7/360)))
(-.f64 (/.f64 1 (sin.f64 x)) 1)
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(-.f64 (/.f64 1 (sin.f64 x)) 1)
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(-.f64 (/.f64 1 (sin.f64 x)) 1)
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(-.f64 (/.f64 1 (sin.f64 x)) 1)
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(-.f64 (/.f64 1 (sin.f64 x)) 1)
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(-.f64 (/.f64 1 (sin.f64 x)) 1)
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(-.f64 (/.f64 1 (sin.f64 x)) 1)
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(-.f64 (/.f64 1 (sin.f64 x)) 1)
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(/.f64 -1 x)
(-.f64 (*.f64 1/3 x) (/.f64 1 x))
(-.f64 (*.f64 x 1/3) (/.f64 1 x))
(-.f64 (+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 x 1/3) (.f64 (pow.f64 x 3) 1/45)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 1/3 x) (+.f64 (.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) 1/45) (+.f64 (.f64 (pow.f64 x 5) 2/945) (*.f64 x 1/3))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 x 1/3) (+.f64 (.f64 (pow.f64 x 3) 1/45) (*.f64 (pow.f64 x 5) 2/945))) (/.f64 1 x))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 -1 (sin.f64 x)))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 -1 (sin.f64 x)))))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.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 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 (+.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) 1))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (+.f64 -1 (/.f64 1 (sin.f64 x))) (+.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (+.f64 -1 (/.f64 1 (sin.f64 x))) (+.f64 (+.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) 0))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (+.f64 -1 (/.f64 1 (sin.f64 x))) (neg.f64 (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (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 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 0 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 -1 (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 0 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 0 (-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 0 (+.f64 -1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 -1 (sin.f64 x))))))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 0 (+.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 -1 (sin.f64 x))) 0))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 1 (/.f64 -1 (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)) (-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2)))))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)) (-.f64 0 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 2) (.f64 (sin.f64 x) 2))))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (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 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (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 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 2 (sin.f64 x)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
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(+.f64 (/.f64 1 (sin.f64 x)) -1)
(.f64 8 (/.f64 (-.f64 1 (sin.f64 x)) (.f64 2 (*.f64 (sin.f64 x) 4))))
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 2 (-.f64 1 (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(*.f64 (-.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(*.f64 (-.f64 (sin.f64 x) 1) (/.f64 -1 (sin.f64 x)))
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(/.f64 (+.f64 -1 (/.f64 1 (sin.f64 x))) 1)
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(/.f64 (+.f64 -2 (/.f64 2 (sin.f64 x))) 2)
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(/.f64 (*.f64 2 (+.f64 -2 (/.f64 2 (sin.f64 x)))) 4)
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(/.f64 (+.f64 (.f64 2 (+.f64 -2 (/.f64 2 (sin.f64 x)))) (.f64 2 (+.f64 -2 (/.f64 2 (sin.f64 x))))) 8)
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(pow.f64 (+.f64 -1 (/.f64 1 (sin.f64 x))) 1)
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(neg.f64 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) -1)
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) 0)
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(+.f64 0 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(+.f64 (/.f64 (.f64 (cos.f64 x) -3) (.f64 (sin.f64 x) 2)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) 4)) (/.f64 (.f64 (cos.f64 x) -3) (*.f64 (sin.f64 x) 4)))
(neg.f64 (/.f64 (cos.f64 x) (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 (-.f64 1 (cos.f64 x)) (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 1 (cos.f64 x)) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))
(+.f64 (/.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)) 2) (/.f64 (/.f64 (.f64 (cos.f64 x) -3) (*.f64 (sin.f64 x) 2)) 2))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(+.f64 (-.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) 1)
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) 0)
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 0 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) 2)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 -2 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) 4)) (/.f64 (.f64 -3 (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) 4)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (/.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)) 2) (/.f64 (.f64 -3 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -2))) 2))
(/.f64 (-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)) (.f64 (cos.f64 x) (/.f64 -3 (*.f64 (sin.f64 x) -2)))) 2)
(-.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4) (/.f64 (*.f64 (cos.f64 x) (/.f64 3/2 (sin.f64 x))) 2))
(/.f64 (.f64 (.f64 (cos.f64 x) (/.f64 -1/2 (sin.f64 x))) 8) 4)
(-.f64 (/.f64 (/.f64 (.f64 (cos.f64 x) -3) (.f64 (sin.f64 x) 2)) 2) (/.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 2))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (/.f64 (.f64 (cos.f64 x) -3) (.f64 (sin.f64 x) 4)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 4)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 -1 (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 0 (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 1 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 2 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -2)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 2 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) -2)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 (.f64 (cos.f64 x) -2) (/.f64 1/2 (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 (.f64 (cos.f64 x) 2) (/.f64 1 (*.f64 (sin.f64 x) -2)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 -1 (sin.f64 x)) (cos.f64 x))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 (cos.f64 x) -2))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 2 (sin.f64 x)) (.f64 1 (/.f64 (cos.f64 x) -2)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 4 (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) 4)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 4 (.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) -2)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 (.f64 -2 (/.f64 (cos.f64 x) (sin.f64 x))) 1/2)
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 (.f64 (cos.f64 x) -4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 2)) -1/2)
(*.f64 -1/2 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 2)))
(*.f64 (cos.f64 x) (/.f64 -1/2 (/.f64 (sin.f64 x) 2)))
(.f64 1/2 (.f64 -2 (/.f64 (cos.f64 x) (sin.f64 x))))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 1/2 (.f64 (/.f64 2 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 (cos.f64 x) -4))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 4 (neg.f64 (cos.f64 x))))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 (.f64 (cos.f64 x) -4) (sin.f64 x)) 1/4)
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 (.f64 2 (.f64 (cos.f64 x) -4)) (/.f64 1 (.f64 2 (*.f64 (sin.f64 x) 4))))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 4 (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) 4))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 4 (sin.f64 x)) (.f64 1/2 (/.f64 (cos.f64 x) -2)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 8 (/.f64 (neg.f64 (cos.f64 x)) (.f64 2 (*.f64 (sin.f64 x) 4))))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 8 (.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (/.f64 (cos.f64 x) -2)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 (cos.f64 x) -2))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 1 (sin.f64 x))))
(.f64 (sin.f64 x) (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 0 (sin.f64 x)))
(.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 -1 (sin.f64 x))))
(.f64 (sin.f64 x) (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 0 (sin.f64 x)))
(.f64 (/.f64 (.f64 (cos.f64 x) -2) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 2 (sin.f64 x))))
(.f64 (sin.f64 x) (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 0 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 0 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 -1 (sin.f64 x)) (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 0 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (*.f64 (cos.f64 x) -2)) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 0 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 0 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 -1 (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 0 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (*.f64 -2 (/.f64 (cos.f64 x) (sin.f64 x)))) (/.f64 1/2 (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 0 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 x) -4)) (/.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 0 (sin.f64 x)))
(pow.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) 2))
✓	0.2b	(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) 2)) (/.f64 1 (/.f64 2 (sin.f64 x))))
✓	0.3b	(/.f64 1 (/.f64 2 (sin.f64 x)))
	2.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 64 to 35 computations (45.3% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite143.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	113
1	119	75
2	382	75
3	2066	75

Stop Event

1×	node limit

Counts

3 → 483

Calls

Call 1

Inputs

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

Outputs

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

simplify512.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1342×	`rational_best-simplify-63`
1276×	`rational_best-simplify-1`
948×	`rational_best-simplify-50`
872×	`rational_best-simplify-65`
714×	`rational_best-simplify-108`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	982	23997
1	3504	22387

Stop Event

1×	node limit

Counts

519 → 767

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 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
1
(+.f64 1 (*.f64 1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 17/2880 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) 0)
(+.f64 0 (/.f64 1 (/.f64 2 (sin.f64 x))))
(+.f64 (/.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) 2) (/.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) 2))
(-.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) 0)
(*.f64 1 (/.f64 1 (/.f64 2 (sin.f64 x))))
(*.f64 2 (/.f64 1 (/.f64 4 (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) 1)
(*.f64 4 (/.f64 1 (/.f64 8 (sin.f64 x))))
(*.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) 1/2)
(*.f64 1/2 (/.f64 2 (/.f64 2 (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 4 (sin.f64 x))) 2)
(*.f64 (/.f64 1 (/.f64 8 (sin.f64 x))) 4)
(pow.f64 (/.f64 1 (/.f64 2 (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 0 (/.f64 2 (sin.f64 x))))
(+.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)) (+.f64 (/.f64 0 (sin.f64 x)) (/.f64 0 (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 0 (/.f64 2 (sin.f64 x))) (/.f64 0 (/.f64 2 (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 0 (/.f64 2 (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)) (neg.f64 (/.f64 0 (/.f64 2 (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 0 (sin.f64 x)) (/.f64 2 (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (*.f64 (sin.f64 x) (/.f64 (sin.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 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 0 (/.f64 2 (sin.f64 x))) (/.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 (/.f64 0 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 2 (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 0 (sin.f64 x)) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (/.f64 (*.f64 2 (sin.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 0 (sin.f64 x)) (/.f64 (*.f64 2 (sin.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (neg.f64 (+.f64 (/.f64 0 (sin.f64 x)) (/.f64 0 (sin.f64 x)))))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (/.f64 0 (/.f64 2 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 0 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))))
(+.f64 (+.f64 (/.f64 0 (sin.f64 x)) (/.f64 0 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (+.f64 (/.f64 0 (/.f64 2 (sin.f64 x))) (/.f64 0 (/.f64 2 (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (+.f64 (/.f64 0 (/.f64 2 (sin.f64 x))) (/.f64 0 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 0 (/.f64 2 (sin.f64 x)))) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(+.f64 (/.f64 (/.f64 0 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 0 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x)))) (/.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 0 (/.f64 2 (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 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))) (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 0 (/.f64 2 (sin.f64 x)))))
(+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))) (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 0 (sin.f64 x))))
(+.f64 (/.f64 (/.f64 0 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 2 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (/.f64 0 (sin.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) (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 0 (sin.f64 x)) (/.f64 (*.f64 2 (sin.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 (*.f64 2 (sin.f64 x)) (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (-.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 0 (/.f64 2 (sin.f64 x)))) (/.f64 0 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (-.f64 (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 (*.f64 2 (sin.f64 x)) (sin.f64 x))) (/.f64 0 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (.f64 2 (sin.f64 x)))) (neg.f64 (/.f64 (cos.f64 x) (.f64 2 (sin.f64 x)))))
(+.f64 (-.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 0 (/.f64 2 (sin.f64 x)))) (/.f64 (cos.f64 x) (.f64 2 (sin.f64 x)))) (neg.f64 (/.f64 (cos.f64 x) (.f64 2 (sin.f64 x)))))
(+.f64 (-.f64 (/.f64 (/.f64 2 (sin.f64 x)) (/.f64 (.f64 2 (sin.f64 x)) (sin.f64 x))) (/.f64 (cos.f64 x) (.f64 2 (sin.f64 x)))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 2 (sin.f64 x)))))
(+.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 0 (/.f64 2 (sin.f64 x)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 0 (/.f64 2 (sin.f64 x)))) (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 0 (/.f64 2 (sin.f64 x)))))
(+.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 0 (/.f64 2 (sin.f64 x)))) (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 0 (sin.f64 x))))
(+.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 0 (sin.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 0 (sin.f64 x))) (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 0 (/.f64 2 (sin.f64 x)))))
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(/.f64 (.f64 (.f64 2 (/.f64 2 (/.f64 2 (sin.f64 x)))) (/.f64 (.f64 2 (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4)))
(/.f64 (.f64 (.f64 2 (/.f64 2 (/.f64 2 (sin.f64 x)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4)) (/.f64 2 (sin.f64 x)))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4)))
(/.f64 (.f64 (.f64 2 (/.f64 2 (/.f64 2 (sin.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 (.f64 2 (sin.f64 x)) (sin.f64 x)))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4)))
(/.f64 (.f64 (.f64 2 (/.f64 2 (/.f64 2 (sin.f64 x)))) (+.f64 (-.f64 (-.f64 1 (cos.f64 x)) (/.f64 0 (sin.f64 x))) (-.f64 (-.f64 1 (cos.f64 x)) (/.f64 0 (sin.f64 x))))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4)))
(/.f64 (.f64 (.f64 2 (/.f64 2 (/.f64 2 (sin.f64 x)))) (-.f64 2 (.f64 2 (cos.f64 x)))) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)))
(/.f64 (.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (+.f64 (-.f64 1 (cos.f64 x)) (-.f64 (-.f64 1 (cos.f64 x)) (/.f64 0 (sin.f64 x))))) (.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (+.f64 (-.f64 (-.f64 1 (cos.f64 x)) (/.f64 0 (sin.f64 x))) (-.f64 (-.f64 1 (cos.f64 x)) (/.f64 0 (sin.f64 x))))) (.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 4 (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4))) 4)
(/.f64 (.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) 4)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4)))
(/.f64 (.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4)))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 4)))
(/.f64 (.f64 (.f64 2 (/.f64 2 (/.f64 2 (sin.f64 x)))) (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4))) (.f64 (.f64 (sin.f64 x) 4) (*.f64 (sin.f64 x) 4)))
(/.f64 (.f64 2 (/.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 x))) (/.f64 4 (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (.f64 4 (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))) (.f64 (/.f64 4 (sin.f64 x)) (/.f64 4 (sin.f64 x))))
(/.f64 (.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 1 (/.f64 2 (sin.f64 x)))) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)))
(/.f64 (.f64 (/.f64 1 (/.f64 8 (sin.f64 x))) (.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (sin.f64 x) (sin.f64 x))))) 1)
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) (*.f64 (sin.f64 x) 1/2))) 1)
(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 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) 0)
(+.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 0 (sin.f64 x)))
(+.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 0 (*.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (/.f64 0 (sin.f64 x)) (/.f64 0 (*.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (/.f64 0 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 0 (.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (/.f64 0 (sin.f64 x)) (/.f64 0 (sin.f64 x))))
(+.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (/.f64 0 (*.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (/.f64 0 (sin.f64 x))))
(+.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (/.f64 0 (/.f64 2 (sin.f64 x))) (*.f64 (sin.f64 x) 1/2)))
(+.f64 0 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (/.f64 0 (sin.f64 x)) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (/.f64 0 (.f64 (sin.f64 x) (sin.f64 x))) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))))
(+.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 2 (sin.f64 x)))))
(+.f64 (+.f64 (/.f64 0 (sin.f64 x)) (/.f64 0 (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (+.f64 (/.f64 0 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 0 (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (+.f64 (/.f64 0 (sin.f64 x)) (/.f64 0 (sin.f64 x))) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/2))) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 (/.f64 (/.f64 0 (/.f64 2 (sin.f64 x))) (.f64 (sin.f64 x) 1/2)) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(-.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) 0)
(-.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 0 (sin.f64 x)))
(-.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 0 (*.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (/.f64 0 (sin.f64 x)) (/.f64 0 (*.f64 (sin.f64 x) (sin.f64 x)))))
(-.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (/.f64 0 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 0 (.f64 (sin.f64 x) (sin.f64 x)))))
(-.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (/.f64 0 (sin.f64 x)) (/.f64 0 (sin.f64 x))))
(-.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (/.f64 0 (*.f64 (sin.f64 x) (sin.f64 x)))))
(-.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (/.f64 0 (sin.f64 x))))
(-.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (/.f64 0 (/.f64 2 (sin.f64 x))) (*.f64 (sin.f64 x) 1/2)))
(-.f64 0 (-.f64 (/.f64 0 (sin.f64 x)) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))))
(-.f64 0 (-.f64 (/.f64 0 (.f64 (sin.f64 x) (sin.f64 x))) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))))
(-.f64 0 (-.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x)))))
(-.f64 (/.f64 0 (sin.f64 x)) (-.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x)))))
(-.f64 (/.f64 0 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 1/2))))
(-.f64 (/.f64 0 (.f64 (sin.f64 x) (sin.f64 x))) (-.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 2 (sin.f64 x))))
(-.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 0)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/2))) (-.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 1 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
(.f64 2 (.f64 (/.f64 2 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x)))))
(.f64 2 (.f64 (/.f64 2 (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (.f64 2 (sin.f64 x)) (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) 1)
(.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 (.f64 2 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (sin.f64 x)))
(.f64 (/.f64 4 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))))
(.f64 (/.f64 4 (sin.f64 x)) (.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 4 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x)))))
(.f64 4 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (neg.f64 (/.f64 2 (sin.f64 x))))
(.f64 (+.f64 (cos.f64 x) -1) (-.f64 0 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 8 (.f64 (/.f64 1 (.f64 2 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x)))))
(.f64 8 (.f64 (/.f64 1 (.f64 2 (sin.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) (.f64 2 (sin.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (sin.f64 x) (sin.f64 x))) 1/2)
(.f64 (/.f64 8 (sin.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x)))))
(.f64 (/.f64 8 (sin.f64 x)) (.f64 1/2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4)) (/.f64 1 (.f64 2 (sin.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4)) (/.f64 (/.f64 (sin.f64 x) (.f64 2 (sin.f64 x))) (sin.f64 x)))
(.f64 (/.f64 (.f64 2 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 16 (.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x)))))
(.f64 16 (.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (/.f64 1 (.f64 2 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4)))
(.f64 1/2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (*.f64 2 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (/.f64 1 (sin.f64 x))) (-.f64 0 (/.f64 1 (sin.f64 x))))
(.f64 (+.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) 1)

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 (.f64 1/2 x) (.f64 -1/12 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.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 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) 1/24))
(+.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 (pow.f64 x 3) 1/24)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 7) 17/40320))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 (pow.f64 x 7) 17/40320) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 (pow.f64 x 3) 1/24))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
1
(+.f64 1 (*.f64 1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 17/2880 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 17/2880 (pow.f64 x 6)))))
(+.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 17/2880 (pow.f64 x 6))) (+.f64 (*.f64 1/24 (pow.f64 x 4)) 1))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (pow.f64 (sin.f64 x) 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (pow.f64 (sin.f64 x) 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (pow.f64 (sin.f64 x) 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (pow.f64 (sin.f64 x) 2)))
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(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (sin.f64 x) (sin.f64 x))) 1/2)
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 4 (sin.f64 x))))
(.f64 (/.f64 8 (sin.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x)))))
(.f64 (/.f64 8 (sin.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2))))
(.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) (.f64 1/2 (/.f64 8 (sin.f64 x))))
(.f64 (/.f64 8 (sin.f64 x)) (.f64 1/2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (/.f64 8 (sin.f64 x)) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 1/2 (.f64 (/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 8 (sin.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4)) (/.f64 1 (.f64 2 (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4)) (/.f64 1/2 (sin.f64 x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4)) (/.f64 (/.f64 (sin.f64 x) (.f64 2 (sin.f64 x))) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4)) (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) 4))) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))
(.f64 (/.f64 (.f64 2 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))))
(.f64 16 (.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x)))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) 2)) (.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) 16))
(.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) (.f64 16 (/.f64 1 (*.f64 (sin.f64 x) 4))))
(.f64 16 (.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) 16))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 (/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) 16))
(.f64 (/.f64 1 (.f64 2 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4)) (/.f64 1/2 (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 4 (sin.f64 x))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (*.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (/.f64 1 (sin.f64 x))) (-.f64 0 (/.f64 1 (sin.f64 x))))
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (sin.f64 x)) (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (-.f64 (+.f64 -1 (+.f64 (cos.f64 x) (cos.f64 x))) 1) (sin.f64 x)) (neg.f64 (/.f64 1 (sin.f64 x))))
(.f64 (+.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 4 (sin.f64 x))))
(pow.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) 1)
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))))

eval486.0ms (3%)

Compiler: Compiled 30842 to 17785 computations (42.3% saved)

prune427.0ms (2.7%)

Pruning

41 alts after pruning (30 fresh and 11 done)

	Pruned	Kept	Total
New	1528	9	1537
Fresh	2	21	23
Picked	1	0	1
Done	1	11	12
Total	1532	41	1573

Error

0.1b

Counts

1573 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	32.6b	(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
✓	32.5b	(/.f64 (-.f64 (/.f64 (cos.f64 x) -4) (-.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) -4)))) (sin.f64 x))
	32.5b	(/.f64 (-.f64 (/.f64 (cos.f64 x) -4) (-.f64 -1 (*.f64 (cos.f64 x) -3/4))) (sin.f64 x))
	32.5b	(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) (cos.f64 x)) (*.f64 2 (sin.f64 x)))
	32.5b	(/.f64 (-.f64 (+.f64 1/2 (-.f64 1 (cos.f64 x))) 1/2) (sin.f64 x))
✓	32.5b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	32.5b	(/.f64 (-.f64 1/2 (+.f64 -1/2 (cos.f64 x))) (sin.f64 x))
	32.5b	(/.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)))
	32.5b	(/.f64 (+.f64 (-.f64 (.f64 (cos.f64 x) -3/8) (+.f64 -1 (.f64 1/2 (cos.f64 x)))) (/.f64 (cos.f64 x) -8)) (sin.f64 x))
	32.5b	(-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) (-.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 1/2 (sin.f64 x))))
	32.5b	(-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -8)) (/.f64 (-.f64 (+.f64 (.f64 (cos.f64 x) 3/4) (cos.f64 x)) 2) (*.f64 2 (sin.f64 x))))
	32.6b	(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
	33.2b	(-.f64 (-.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 -1/2 (sin.f64 x)) 1)) -1)
	33.3b	(-.f64 (-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) 1) (-.f64 (/.f64 (+.f64 -1/2 (cos.f64 x)) (/.f64 (sin.f64 x) 2)) (-.f64 (/.f64 1 (sin.f64 x)) 2))) -1)
	60.9b	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) 1) -1)
	32.6b	(-.f64 (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 1 (/.f64 -1 (sin.f64 x))))
	32.5b	(-.f64 (-.f64 -1 (/.f64 (+.f64 (+.f64 (cos.f64 x) -2) (+.f64 (cos.f64 x) (+.f64 -2 (.f64 2 (cos.f64 x))))) (.f64 4 (sin.f64 x)))) -1)
✓	32.5b	(-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
	32.6b	(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
	33.2b	(-.f64 (+.f64 (-.f64 -1/2 (-.f64 (.f64 1/2 (/.f64 (+.f64 (cos.f64 x) -1/2) (sin.f64 x))) (-.f64 -1/2 (/.f64 -1/4 (sin.f64 x))))) (/.f64 (+.f64 -1 (cos.f64 x)) (.f64 (sin.f64 x) -2))) -1)
	33.2b	(-.f64 (.f64 -1/2 (/.f64 (+.f64 -1 (.f64 2 (+.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1/2)))) (sin.f64 x))) -1)
✓	61.1b	(-.f64 -1 -1)
	32.5b	(+.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)))
	32.5b	(+.f64 (/.f64 (-.f64 1/2 (cos.f64 x)) (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))
	56.2b	(+.f64 (/.f64 -1 x) (+.f64 (+.f64 -1 (/.f64 1 (sin.f64 x))) 1))
✓	32.5b	(+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)
✓	29.6b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
✓	29.5b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
	34.5b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2)) (/.f64 1 (/.f64 1 (sin.f64 x))))
	32.6b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) (sin.f64 x)))
	32.5b	(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	34.5b	(.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (+.f64 (cos.f64 (+.f64 x x)) -1))) (/.f64 1 (/.f64 1 (sin.f64 x))))
	29.0b	(.f64 1/2 (/.f64 (+.f64 (.f64 x 3) (*.f64 x 5)) 8))
✓	24.1b	(*.f64 1/2 (/.f64 1 (/.f64 1 (sin.f64 x))))
✓	29.0b	(*.f64 1/2 (/.f64 1 (/.f64 1 x)))
	28.8b	(.f64 1/2 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/6))))
	29.6b	(.f64 1/2 (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
	47.0b	(.f64 1/2 (.f64 (/.f64 1 x) (*.f64 x x)))
	29.0b	(.f64 1/2 (.f64 (+.f64 x x) (*.f64 x (/.f64 1/2 x))))
✓	24.0b	(*.f64 1/2 (sin.f64 x))
✓	28.9b	(*.f64 1/2 x)

Compiler

Compiled 623 to 467 computations (25% saved)

regimes353.0ms (2.2%)

Counts

60 → 3

Calls

Call 1

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

Outputs

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

Calls

2 calls:

243.0ms	x
36.0ms	(/.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 962 to 581 computations (39.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.023669436545272e-8	0.0022199232251159475
0.0ms	-0.03314789917449447	-0.0008040409228733294

Compiler

Compiled 12 to 9 computations (25% saved)

regimes143.0ms (0.9%)

Counts

50 → 3

Calls

Call 1

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

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

Calls

2 calls:

97.0ms	x
30.0ms	(/.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 686 to 420 computations (38.8% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.023669436545272e-8	0.0022199232251159475
0.0ms	-0.03314789917449447	-0.0008040409228733294

Compiler

Compiled 12 to 9 computations (25% saved)

regimes125.0ms (0.8%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

2 calls:

103.0ms	x
16.0ms	(/.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 190 to 135 computations (28.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.023669436545272e-8	0.0022199232251159475
0.0ms	-0.03314789917449447	-0.0008040409228733294

Compiler

Compiled 12 to 9 computations (25% saved)

regimes40.0ms (0.2%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	x
13.0ms	(/.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 146 to 107 computations (26.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.023669436545272e-8	0.0022199232251159475
0.0ms	-0.03314789917449447	-0.0008040409228733294

Compiler

Compiled 12 to 9 computations (25% saved)

regimes37.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

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

Calls

2 calls:

21.0ms	x
13.0ms	(/.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 128 to 97 computations (24.2% saved)

bsearch50.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	9.94492904821563e-8	723.4534689925147
22.0ms	-3.979158847704601	-0.0016080814991750456

Results

45.0ms

288×

body

256

valid

Compiler

Compiled 372 to 297 computations (20.2% saved)

regimes44.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

1 calls:

41.0ms

Results

Error	Segments	Branch
24.0b	1	`x`

Compiler

Compiled 113 to 87 computations (23% saved)

regimes9.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
28.8b	1	`x`

Compiler

Compiled 58 to 44 computations (24.1% saved)

regimes5.0ms (0%)

Accuracy

Total -32.9b remaining (-113.7%)

Threshold costs -32.9b (-113.7%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(*.f64 1/2 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
28.9b	1	`x`

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	766

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/288230376151711744) (-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -8)) (/.f64 (-.f64 (+.f64 (.f64 (cos.f64 x) 3/4) (cos.f64 x)) 2) (.f64 2 (sin.f64 x)))) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 944473296573929/9444732965739290427392) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/288230376151711744) (+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 944473296573929/9444732965739290427392) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/288230376151711744) (+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 944473296573929/9444732965739290427392) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 944473296573929/9444732965739290427392) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 x -1152921504606847/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 x 5188146770730811/1152921504606846976) (+.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 1 (+.f64 (/.f64 1 x) (.f64 x 1/6))))
(*.f64 1/2 x)

Outputs
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/288230376151711744) (-.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) -8)) (/.f64 (-.f64 (+.f64 (.f64 (cos.f64 x) 3/4) (cos.f64 x)) 2) (.f64 2 (sin.f64 x)))) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 944473296573929/9444732965739290427392) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/288230376151711744) (+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 944473296573929/9444732965739290427392) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/288230376151711744) (+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 944473296573929/9444732965739290427392) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 944473296573929/9444732965739290427392) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 x -1152921504606847/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 x 5188146770730811/1152921504606846976) (+.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 1 (+.f64 (/.f64 1 x) (.f64 x 1/6))))
(*.f64 1/2 x)

Compiler

Compiled 272 to 186 computations (31.6% saved)

soundness300.0ms (1.9%)

Algorithm

3×	egg-herbie

Rules

1490×	`rational_best-simplify-51`
1204×	`rational_best-simplify-50`
948×	`rational_best-simplify-67`
918×	`rational_best-simplify-108`
918×	`rational_best-simplify-52`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	508	7684
1	1500	7192
2	5571	7034
0	558	10788
1	1583	9948
2	5101	9518
0	258	2929
1	658	2473
2	2080	2473

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 249 to 155 computations (37.8% saved)

end110.0ms (0.7%)

Compiler: Compiled 265 to 170 computations (35.8% saved)