Details

analyze305.0ms (1.6%)

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)

sample4.8s (25.9%)

Results

2.6s	2051×	body	2048	valid
1.4s	3098×	body	1024	valid
436.0ms	1540×	body	512	valid
265.0ms	1461×	body	256	valid
120.0ms	106×	body	4096	valid

Bogosity

preprocess61.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

722×	`rational_best-simplify-111`
686×	`rational_best-simplify-96`
660×	`rational_best-simplify-117`
644×	`rational_best-simplify-61`
628×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	48	21
2	286	21
3	1911	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)

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

722×	`rational_best-simplify-111`
686×	`rational_best-simplify-96`
660×	`rational_best-simplify-117`
644×	`rational_best-simplify-61`
628×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	48	21
2	286	21
3	1911	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

27.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.6b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	1.2b	(-.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))

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`rational_best-simplify-111`
686×	`rational_best-simplify-96`
660×	`rational_best-simplify-117`
642×	`rational_best-simplify-61`
628×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	48	32
2	286	32
3	1911	32

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs
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Outputs

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()

simplify145.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1126×	`rational_best-simplify-1`
798×	`rational_best-simplify-18`
424×	`rational_best-simplify-124`
420×	`rational_best-simplify-126`
416×	`rational_best-simplify-127`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	1743
1	1097	1743
2	7361	1733

Stop Event

1×	node limit

Counts

57 → 74

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 (neg.f64 (cos.f64 x)) 1)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (neg.f64 (cos.f64 x)))
(/.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) 2)) 4)
(/.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (+.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x))))
(/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) -2)
(/.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (+.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (+.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) 2)))) 8)
(/.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1))) (-.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2))) (+.f64 (cos.f64 x) (+.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))))
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (+.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (+.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)))) (.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (-.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2))) (-.f64 4 (.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)))
(/.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) -2) (.f64 (-.f64 1 (cos.f64 x)) -2)) -4)
(/.f64 (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2))) (+.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)))) (+.f64 (+.f64 (cos.f64 x) (+.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (+.f64 (cos.f64 x) (+.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x)))))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) (+.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))))))
(/.f64 (+.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (+.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (+.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2))))) (+.f64 (.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (-.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)))) (.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (-.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2))))))
(/.f64 (+.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (+.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2))) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2)))) (+.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(/.f64 (-.f64 (.f64 4 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) 2)) (+.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) 2)))) (-.f64 16 (.f64 4 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) 2)))))
(/.f64 (-.f64 (.f64 -2 (.f64 (-.f64 1 (cos.f64 x)) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 4 (.f64 -2 (*.f64 (-.f64 1 (cos.f64 x)) -2))))
(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 x) (+.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)))) (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2))) (+.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2))))) (-.f64 (.f64 (+.f64 (cos.f64 x) (+.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (+.f64 (cos.f64 x) (+.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x)))) (.f64 (+.f64 (cos.f64 x) (+.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2))))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (.f64 (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (-.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) (+.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))))) (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (-.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (+.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2))))) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (+.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (+.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)))))) (-.f64 (.f64 (.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (-.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)))) (.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (-.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2))))) (.f64 (.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (-.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (+.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))))) (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))))))
(/.f64 (-.f64 (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2)))) (.f64 (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2))) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2))))) (-.f64 (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2))) (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2))))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1))
(if (!=.f64 (+.f64 1 (cos.f64 x)) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (cos.f64 x) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 1 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 -1 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 0)) 0) (-.f64 1 (cos.f64 x)))

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

eval42.0ms (0.2%)

Compiler: Compiled 2849 to 1304 computations (54.2% saved)

prune54.0ms (0.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	61	13	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	14	75

Error

0.3b

Counts

75 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	28.1b	(/.f64 (if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (sin.f64 x))
	27.7b	(/.f64 (if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x))) (sin.f64 x))
▶	27.7b	(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
	27.7b	(/.f64 (/.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) (cos.f64 x))) (sin.f64 x))
▶	28.1b	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2)))) (.f64 (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2))) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2))))) (-.f64 (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2))) (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2)))))) (sin.f64 x))
	28.2b	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))))) (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))))) (sin.f64 x))
	27.9b	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (+.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)))) (.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (-.f64 (+.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (sin.f64 x))
	28.0b	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (sin.f64 x))
	27.9b	(/.f64 (/.f64 (-.f64 (.f64 -2 (.f64 (-.f64 1 (cos.f64 x)) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 4 (.f64 -2 (*.f64 (-.f64 1 (cos.f64 x)) -2)))) (sin.f64 x))
▶	27.7b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
▶	27.7b	(/.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x)) (sin.f64 x))
✓	27.6b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	34.7b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
▶	34.0b	(*.f64 1/2 x)

Compiler

Compiled 1618 to 764 computations (52.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))
✓	0.2b	(/.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x)) (sin.f64 x))
✓	0.2b	(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
	1.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 41 to 18 computations (56.1% saved)

series2.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`rational_best-simplify-96`
810×	`rational_best-simplify-61`
806×	`rational_best-simplify-65`
692×	`rational_best-simplify-105`
556×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	93
1	58	93
2	347	53
3	2454	53

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

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

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

Outputs

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

()

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

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

750×	`rational_best-simplify-96`
738×	`rational_best-simplify-111`
702×	`rational_best-simplify-61`
698×	`rational_best-simplify-65`
514×	`rational_best-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	144	1479
1	551	1395
2	2903	1395

Stop Event

1×	node limit

Counts

71 → 74

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -7/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 31/720 (pow.f64 x 6)) (+.f64 (.f64 -7/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -127/40320 (pow.f64 x 8)) (+.f64 (.f64 31/720 (pow.f64 x 6)) (+.f64 (.f64 -7/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 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 (cos.f64 x) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 0)
(+.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) 0))
(+.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (+.f64 (cos.f64 x) -1) 0))
(+.f64 0 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))
(+.f64 (.f64 (+.f64 (cos.f64 x) -1) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 0)
(-.f64 0 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))
(-.f64 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))
(-.f64 (.f64 (+.f64 (cos.f64 x) -1) 0) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 1)
(/.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) -1)
(/.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) -2)) -2)
(neg.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))
(if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))
(if (!=.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) 0) (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (+.f64 (.f64 (cos.f64 x) (cos.f64 x)) -1)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))
(if (!=.f64 (.f64 (cos.f64 x) (cos.f64 x)) 0) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 (neg.f64 (cos.f64 x)) -1)
(-.f64 0 (+.f64 (cos.f64 x) -1))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1))
(if (!=.f64 (+.f64 (cos.f64 x) 1) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) 1)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (cos.f64 x) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 1 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) 1)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 -1 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) 0)) 0) (-.f64 1 (cos.f64 x)))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -7/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -7/24 (pow.f64 x 4)))
(+.f64 (.f64 31/720 (pow.f64 x 6)) (+.f64 (.f64 -7/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 31/720 (pow.f64 x 6)) (*.f64 -7/24 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -7/24 (pow.f64 x 4)) (*.f64 31/720 (pow.f64 x 6))))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 31/720 (pow.f64 x 6))) (*.f64 (pow.f64 x 4) 7/24))
(+.f64 (.f64 -127/40320 (pow.f64 x 8)) (+.f64 (.f64 31/720 (pow.f64 x 6)) (+.f64 (.f64 -7/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -7/24 (pow.f64 x 4))) (+.f64 (.f64 -127/40320 (pow.f64 x 8)) (.f64 31/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 -7/24 (pow.f64 x 4)) (.f64 31/720 (pow.f64 x 6))) (.f64 -127/40320 (pow.f64 x 8))))
(+.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 31/720 (pow.f64 x 6))) (.f64 (pow.f64 x 4) 7/24)) (.f64 -127/40320 (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 (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 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24)) (*.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/2 x) (-.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 (pow.f64 x 5) -1/240) (.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))
(*.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 (pow.f64 x 4) -1/24))
(+.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 (pow.f64 x 4) -1/24) (*.f64 (pow.f64 x 6) 1/720)))
(+.f64 (.f64 (pow.f64 x 4) -1/24) (-.f64 (.f64 (pow.f64 x 6) 1/720) (*.f64 (pow.f64 x 2) -1/2)))
(+.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 1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 (pow.f64 x 8) -1/40320))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -1/24) (-.f64 (.f64 (pow.f64 x 8) -1/40320) (.f64 (pow.f64 x 6) -1/720))))
(+.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 (pow.f64 x 8) 1/40320))))
(-.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 (cos.f64 x) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 0)
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) 0))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (+.f64 (cos.f64 x) -1) 0))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 0 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 (.f64 (+.f64 (cos.f64 x) -1) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 0)
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(-.f64 0 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(-.f64 (.f64 (+.f64 (cos.f64 x) -1) 0) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 1)
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) -1)
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) -2)) -2)
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(neg.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) 0) (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (+.f64 (.f64 (cos.f64 x) (cos.f64 x)) -1)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (.f64 (cos.f64 x) (cos.f64 x)) 0) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(-.f64 (neg.f64 (cos.f64 x)) -1)
(-.f64 1 (cos.f64 x))
(-.f64 0 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(if (!=.f64 (+.f64 (cos.f64 x) 1) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) 1)) (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(if (!=.f64 (cos.f64 x) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(if (!=.f64 1 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) 1)) (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(if (!=.f64 -1 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 (*.f64 (-.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))
(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) 0)) 0) (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))

localize3.0ms (0%)

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))
✓	0.2b	(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
✓	0.2b	(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
✓	1.2b	(+.f64 (cos.f64 x) -1)

Compiler

Compiled 49 to 24 computations (51% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`rational_best-simplify-96`
1036×	`rational_best-simplify-61`
1024×	`rational_best-simplify-65`
664×	`rational_best-simplify-3`
614×	`rational_best-simplify-62`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	116
1	59	112
2	446	104
3	3036	104

Stop Event

1×	node limit

Counts

4 → 34

Calls

Call 1

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

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

simplify70.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1094×	`rational_best-simplify-61`
1048×	`rational_best-simplify-96`
1038×	`rational_best-simplify-65`
648×	`rational_best-simplify-62`
588×	`rational_best-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	148	1926
1	600	1834
2	3394	1834

Stop Event

1×	node limit

Counts

82 → 86

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 (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 (-.f64 (cos.f64 x) 1))
(*.f64 -1 (-.f64 (cos.f64 x) 1))
(*.f64 -1 (-.f64 (cos.f64 x) 1))
(*.f64 -1 (-.f64 (cos.f64 x) 1))
(*.f64 -1 (-.f64 (cos.f64 x) 1))
(*.f64 -1 (-.f64 (cos.f64 x) 1))
(*.f64 -1 (-.f64 (cos.f64 x) 1))
(*.f64 -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 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 -5/24 (pow.f64 x 4))))
(+.f64 (.f64 -277/8064 (pow.f64 x 8)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (.f64 -5/24 (pow.f64 x 4)))))
(/.f64 (-.f64 (cos.f64 x) 1) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (cos.f64 x))
(-.f64 (cos.f64 x) 1)
(-.f64 -1 (neg.f64 (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 x) -1) 0)
(-.f64 0 (-.f64 1 (cos.f64 x)))
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) 1)
(*.f64 1 (+.f64 (cos.f64 x) -1))
(*.f64 (-.f64 1 (cos.f64 x)) -1)
(/.f64 (+.f64 (cos.f64 x) -1) 1)
(/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2)) 2)
(/.f64 (-.f64 1 (cos.f64 x)) -1)
(/.f64 (+.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2)) (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2))) 4)
(/.f64 (-.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 x) -2)) -2)
(/.f64 (-.f64 (+.f64 (cos.f64 x) -1) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (neg.f64 (+.f64 (cos.f64 x) -2)))
(/.f64 (+.f64 (-.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 x) -2)) (-.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 x) -2))) -4)
(/.f64 (+.f64 (-.f64 (+.f64 (cos.f64 x) -1) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (-.f64 (+.f64 (cos.f64 x) -1) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (+.f64 (neg.f64 (+.f64 (cos.f64 x) -2)) (neg.f64 (+.f64 (cos.f64 x) -2))))
(neg.f64 (-.f64 1 (cos.f64 x)))
(if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) 1)) (+.f64 (cos.f64 x) -1))
(if (!=.f64 1 0) (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (cos.f64 x)) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (cos.f64 x) 0) (/.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (cos.f64 x)) (+.f64 (cos.f64 x) -1))
(if (!=.f64 -1 0) (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (+.f64 (cos.f64 x) 1) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) 1)) (+.f64 (cos.f64 x) -1))
(-.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x)) 0)
(-.f64 0 (neg.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))))
(.f64 -1 (neg.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))))
(.f64 (neg.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))) -1)
(neg.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))))
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x)) 0)
(-.f64 0 (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))))
(*.f64 -1 (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))))
(*.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))) -1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(neg.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.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 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -1/24))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 -1/720 (pow.f64 x 6)) (*.f64 (pow.f64 x 4) -1/24)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8))) (.f64 1/24 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/40320 (pow.f64 x 8)))) (.f64 (pow.f64 x 4) -1/24))
(-.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 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (pow.f64 x 4) -1/24))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (.f64 (pow.f64 x 4) -1/24) (*.f64 (pow.f64 x 6) 1/720)))
(+.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 (pow.f64 x 2) 1/2) (*.f64 (pow.f64 x 6) 1/720)))
(+.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 (pow.f64 x 2) 1/2) (+.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 (pow.f64 x 8) -1/40320))))
(-.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/40320 (pow.f64 x 8)))))
(*.f64 -1 (-.f64 (cos.f64 x) 1))
(-.f64 (*.f64 -1 (cos.f64 x)) -1)
(-.f64 1 (cos.f64 x))
(*.f64 -1 (-.f64 (cos.f64 x) 1))
(-.f64 (*.f64 -1 (cos.f64 x)) -1)
(-.f64 1 (cos.f64 x))
(*.f64 -1 (-.f64 (cos.f64 x) 1))
(-.f64 (*.f64 -1 (cos.f64 x)) -1)
(-.f64 1 (cos.f64 x))
(*.f64 -1 (-.f64 (cos.f64 x) 1))
(-.f64 (*.f64 -1 (cos.f64 x)) -1)
(-.f64 1 (cos.f64 x))
(*.f64 -1 (-.f64 (cos.f64 x) 1))
(-.f64 (*.f64 -1 (cos.f64 x)) -1)
(-.f64 1 (cos.f64 x))
(*.f64 -1 (-.f64 (cos.f64 x) 1))
(-.f64 (*.f64 -1 (cos.f64 x)) -1)
(-.f64 1 (cos.f64 x))
(*.f64 -1 (-.f64 (cos.f64 x) 1))
(-.f64 (*.f64 -1 (cos.f64 x)) -1)
(-.f64 1 (cos.f64 x))
(*.f64 -1 (-.f64 (cos.f64 x) 1))
(-.f64 (*.f64 -1 (cos.f64 x)) -1)
(-.f64 1 (cos.f64 x))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (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 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 x 1/2) (.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 x 1/2) (-.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 (pow.f64 x 7) -17/40320) (.f64 (pow.f64 x 3) -1/24))))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -5/24))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 -5/24 (pow.f64 x 4))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -5/24) (*.f64 (pow.f64 x 6) -61/720)))
(-.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 6) 61/720) (*.f64 (pow.f64 x 4) 5/24)))
(+.f64 (.f64 -277/8064 (pow.f64 x 8)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (.f64 -5/24 (pow.f64 x 4)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 (pow.f64 x 4) -5/24) (.f64 (pow.f64 x 6) -61/720)) (.f64 (pow.f64 x 8) -277/8064)))
(+.f64 (.f64 (pow.f64 x 4) -5/24) (+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 6) -61/720)) (.f64 (pow.f64 x 8) -277/8064)))
(+.f64 (.f64 (pow.f64 x 6) -61/720) (-.f64 (.f64 (pow.f64 x 8) -277/8064) (+.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (pow.f64 x 4) 5/24))))
(/.f64 (-.f64 (cos.f64 x) 1) (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 x) 1) (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 -1 (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 x) -1)
(-.f64 (+.f64 (cos.f64 x) -1) 0)
(+.f64 (cos.f64 x) -1)
(-.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 x) -1)
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 x) -1)
(*.f64 (+.f64 (cos.f64 x) -1) 1)
(+.f64 (cos.f64 x) -1)
(*.f64 1 (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) -1)
(*.f64 (-.f64 1 (cos.f64 x)) -1)
(+.f64 (cos.f64 x) -1)
(/.f64 (+.f64 (cos.f64 x) -1) 1)
(+.f64 (cos.f64 x) -1)
(/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2)) 2)
(/.f64 (-.f64 1 (cos.f64 x)) -1)
(+.f64 (cos.f64 x) -1)
(/.f64 (+.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2)) (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2))) 4)
(/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2)) 2)
(/.f64 (-.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 x) -2)) -2)
(/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2)) 2)
(/.f64 (-.f64 (+.f64 (cos.f64 x) -1) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (neg.f64 (+.f64 (cos.f64 x) -2)))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (-.f64 (+.f64 (cos.f64 x) -1) 1)) (+.f64 (cos.f64 x) -2))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 1 (-.f64 1 (cos.f64 x)))) (-.f64 2 (cos.f64 x)))
(/.f64 (+.f64 (-.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 x) -2)) (-.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 x) -2))) -4)
(/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2)) 2)
(/.f64 (+.f64 (-.f64 (+.f64 (cos.f64 x) -1) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (-.f64 (+.f64 (cos.f64 x) -1) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (+.f64 (neg.f64 (+.f64 (cos.f64 x) -2)) (neg.f64 (+.f64 (cos.f64 x) -2))))
(/.f64 (-.f64 (+.f64 (cos.f64 x) -1) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (neg.f64 (+.f64 (cos.f64 x) -2)))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (-.f64 (+.f64 (cos.f64 x) -1) 1)) (+.f64 (cos.f64 x) -2))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 1 (-.f64 1 (cos.f64 x)))) (-.f64 2 (cos.f64 x)))
(neg.f64 (-.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 x) -1)
(if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) 1)) (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) -1)
(if (!=.f64 1 0) (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) -1)
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (cos.f64 x)) (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) -1)
(if (!=.f64 (cos.f64 x) 0) (/.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (cos.f64 x)) (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) -1)
(if (!=.f64 -1 0) (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) -1)
(if (!=.f64 (+.f64 (cos.f64 x) 1) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) 1)) (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) -1)
(-.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x)) 0)
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))
(-.f64 0 (neg.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))
(.f64 -1 (neg.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))
(.f64 (neg.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))) -1)
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))
(neg.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x)) 0)
(/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))
(-.f64 0 (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))
(*.f64 -1 (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))
(*.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))) -1)
(/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))
(neg.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x))

localize66.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
✓	0.2b	(/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x))))
✓	0.3b	(*.f64 (cos.f64 x) (cos.f64 x))
	1.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 91 to 26 computations (71.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`rational_best-simplify-96`
798×	`rational_best-simplify-111`
710×	`rational_best-simplify-61`
688×	`rational_best-simplify-65`
678×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	86
1	63	86
2	322	66
3	2270	26

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs

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

simplify94.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

590×	`rational_best-simplify-124`
536×	`rational_best-simplify-117`
536×	`rational_best-simplify-61`
524×	`rational_best-simplify-65`
512×	`rational_best-simplify-62`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	289	3395
1	1526	2189

Stop Event

1×	node limit

Counts

113 → 114

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(*.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 (cos.f64 x) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (cos.f64 x))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))
(-.f64 (.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(/.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))
(/.f64 (+.f64 1 (cos.f64 (*.f64 x 2))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) 2)
(/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) 4)
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 0) (cos.f64 0)))) 4)
(/.f64 (fabs.f64 (+.f64 1 (cos.f64 (*.f64 x 2)))) 2)
(/.f64 (fabs.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) 2)
(/.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (*.f64 x 2))))))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) (-.f64 2 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) (+.f64 4 (.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) -2)))
(/.f64 (-.f64 (neg.f64 (cos.f64 (+.f64 x x))) (cos.f64 0)) -2)
(/.f64 (-.f64 -1 (cos.f64 (*.f64 x 2))) -2)
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) (-.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) 2)) (+.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) -4))
(/.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 (+.f64 1 (cos.f64 (.f64 x 2))) 2)) (+.f64 (+.f64 (.f64 2 (cos.f64 (*.f64 x 2))) 2) -4))
(/.f64 (+.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2))) 8)
(/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 0) (cos.f64 0)))) (+.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 0) (cos.f64 0))))) 8)
(/.f64 (+.f64 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2)))) (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))) 4)
(/.f64 (+.f64 (fabs.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) (fabs.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) 4)
(/.f64 (+.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2)))))) (+.f64 (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2)))))))
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) (-.f64 2 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) (.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) (-.f64 2 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))))) (+.f64 (+.f64 4 (.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) -2)) (+.f64 4 (.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) -2))))
(/.f64 (fabs.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2))) 4)
(/.f64 (fabs.f64 (+.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 0) (cos.f64 0))))) 4)
(/.f64 (fabs.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2)))))) (fabs.f64 (+.f64 (+.f64 (.f64 2 (cos.f64 (*.f64 x 2))) 2) -4)))
(/.f64 (fabs.f64 (.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) (-.f64 2 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))))) (fabs.f64 (+.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) -4)))
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(if (!=.f64 (cos.f64 x) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 1 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) 1)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 -1 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) 0)) 0) (-.f64 1 (cos.f64 x)))

Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 4)) (*.f64 -2/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 4)) (.f64 -2/45 (pow.f64 x 6)))))
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (pow.f64 x 4) -1/24))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (.f64 (pow.f64 x 4) -1/24) (*.f64 (pow.f64 x 6) 1/720)))
(+.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 (pow.f64 x 2) 1/2) (+.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
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(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))
(+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 x))))
(*.f64 (cos.f64 x) (-.f64 (+.f64 -1 (cos.f64 x)) -1))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 x))))
(*.f64 (cos.f64 x) (-.f64 (+.f64 -1 (cos.f64 x)) -1))
(-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 x))))
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(/.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))
(-.f64 (.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (+.f64 1 (cos.f64 (*.f64 x 2))) 2)
(-.f64 (.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) 2)
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(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) 4)
(/.f64 (+.f64 2 (+.f64 (cos.f64 (.f64 x 2)) (cos.f64 (.f64 x 2)))) 4)
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 0) (cos.f64 0)))) 4)
(-.f64 (.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (fabs.f64 (+.f64 1 (cos.f64 (*.f64 x 2)))) 2)
(-.f64 (.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (fabs.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) 2)
(-.f64 (.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (*.f64 x 2))))))
(-.f64 (.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) (-.f64 2 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)))) (+.f64 4 (.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) -2)))
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(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) (+.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) -2)) (+.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) -4))
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(/.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (+.f64 (+.f64 1 (cos.f64 (.f64 x 2))) -2)) (+.f64 -4 (+.f64 2 (.f64 2 (cos.f64 (*.f64 x 2))))))
(/.f64 (.f64 (+.f64 (neg.f64 (cos.f64 (.f64 x 2))) 1) (-.f64 -1 (cos.f64 (.f64 x 2)))) (+.f64 -2 (.f64 2 (cos.f64 (*.f64 x 2)))))
(/.f64 (+.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2))) 8)
(/.f64 (+.f64 2 (+.f64 (cos.f64 (.f64 x 2)) (cos.f64 (.f64 x 2)))) 4)
(/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 0) (cos.f64 0)))) (+.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 0) (cos.f64 0))))) 8)
(-.f64 (.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (+.f64 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2)))) (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))) 4)
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(-.f64 (.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
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(/.f64 (fabs.f64 (+.f64 2 (+.f64 (cos.f64 (.f64 x 2)) (cos.f64 (.f64 x 2))))) 4)
(/.f64 (fabs.f64 (+.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 0) (cos.f64 0))))) 4)
(-.f64 (.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (fabs.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2)))))) (fabs.f64 (+.f64 (+.f64 (.f64 2 (cos.f64 (*.f64 x 2))) 2) -4)))
(-.f64 (.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (fabs.f64 (.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) (-.f64 2 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))))) (fabs.f64 (+.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) -4)))
(-.f64 (.f64 (neg.f64 (cos.f64 x)) 0) (.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) 4) (.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)))) (-.f64 16 (.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (*.f64 x 2)) 2)) 4)))
(/.f64 (+.f64 2 (+.f64 (cos.f64 (.f64 x 2)) (cos.f64 (.f64 x 2)))) 4)
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(if (!=.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) 0)) 0) (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))

localize329.0ms (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) -2)))
✓	0.4b	(-.f64 (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2)))) (.f64 (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2))) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) -2)))))
✓	0.4b	(-.f64 (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2))) (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) -2)))))
	1.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 585 to 440 computations (24.8% saved)

series8.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(-.f64 (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2)))) (.f64 (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2))) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) -2)))))
1.0ms	x	@	inf	(-.f64 (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2))) (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) -2)))))
1.0ms	x	@	0	(-.f64 (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2))) (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) -2)))))
1.0ms	x	@	-inf	(-.f64 (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2))) (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) -2)))))
1.0ms	x	@	inf	(-.f64 (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2)))) (.f64 (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2))) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) -2)))))

rewrite405.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`rational_best-simplify-53`
940×	`rational_best-simplify-56`
714×	`rational_best-simplify-52`
612×	`rational_best-simplify-1`
488×	`rational_best-simplify-21`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	447
1	120	325
2	691	269
3	4632	269

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1)))) (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2))))) (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 16 (*.f64 16 (+.f64 (cos.f64 x) -1))) (+.f64 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2))))) (*.f64 (+.f64 16 (*.f64 16 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 16 (*.f64 16 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)) (+.f64 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2))))) (+.f64 16 (*.f64 16 (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2))))) (*.f64 (+.f64 16 (*.f64 16 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))) (+.f64 16 (*.f64 16 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2))))) (+.f64 16 (*.f64 16 (+.f64 (cos.f64 x) -1)))) (*.f64 (+.f64 16 (*.f64 16 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (*.f64 (cos.f64 x) -2)) -2)) (+.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4) -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4) -4) (+.f64 (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (*.f64 (cos.f64 x) -2)) -2)) (+.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2))))) (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (*.f64 (cos.f64 x) -2)) -2)) (+.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (*.f64 (cos.f64 x) -2)) -2)) (+.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4) -4)) (+.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (*.f64 (cos.f64 x) -2)) -2)) (+.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4) -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (*.f64 (cos.f64 x) -2)) -2)) (+.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4) -4))) (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (*.f64 (cos.f64 x) -2)) -2)) (+.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4) -4)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2)))))) (*.f64 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2)))))) (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2)))))))) (-.f64 1 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2)))))) 1)))) (#(struct:change #<rule 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(cos.f64 x) -2)) (-.f64 (-.f64 -2 (*.f64 (cos.f64 x) -2)) -2)) (*.f64 4 (+.f64 (cos.f64 x) -1)))))) (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (+.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4) -4) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2))))) 0) (/.f64 (*.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (*.f64 (+.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4) -4) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2))))) (+.f64 (+.f64 4 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2))))))) (*.f64 (+.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4) -4) (*.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2)))))) (*.f64 (+.f64 4 (*.f64 4 (+.f64 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simplify128.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

494×	`rational_best-simplify-113`
458×	`rational_best-simplify-124`
456×	`rational_best-simplify-127`
454×	`rational_best-simplify-126`
428×	`rational_best-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	267	18622
1	1229	16838

Stop Event

1×	node limit

Counts

112 → 168

Calls

Call 1

Inputs
16
(+.f64 16 (*.f64 -24 (pow.f64 x 2)))
(+.f64 (.f64 14 (pow.f64 x 4)) (+.f64 16 (.f64 -24 (pow.f64 x 2))))
(+.f64 (.f64 14 (pow.f64 x 4)) (+.f64 16 (+.f64 (.f64 -24 (pow.f64 x 2)) (*.f64 -61/15 (pow.f64 x 6)))))
(-.f64 (pow.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) 2) (.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (*.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(-.f64 (pow.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) 2) (.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (*.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(-.f64 (pow.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) 2) (.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (*.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(-.f64 (pow.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) 2) (.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (*.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(-.f64 (pow.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) 2) (.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (*.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(-.f64 (pow.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) 2) (.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (*.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(-.f64 (pow.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) 2) (.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (*.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(-.f64 (pow.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) 2) (.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (*.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(*.f64 8 (pow.f64 x 2))
(+.f64 (.f64 -38/3 (pow.f64 x 4)) (.f64 8 (pow.f64 x 2)))
(+.f64 (.f64 -38/3 (pow.f64 x 4)) (+.f64 (.f64 361/45 (pow.f64 x 6)) (*.f64 8 (pow.f64 x 2))))
(+.f64 (.f64 -6679/2520 (pow.f64 x 8)) (+.f64 (.f64 -38/3 (pow.f64 x 4)) (+.f64 (.f64 361/45 (pow.f64 x 6)) (.f64 8 (pow.f64 x 2)))))
(-.f64 (.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (pow.f64 (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 2))
(-.f64 (.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (pow.f64 (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 2))
(-.f64 (.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (pow.f64 (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 2))
(-.f64 (.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (pow.f64 (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 2))
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(-.f64 (.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (pow.f64 (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 2))
(-.f64 (.f64 (-.f64 4 (.f64 4 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (pow.f64 (+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 2))
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(*.f64 2 (pow.f64 x 2))
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(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 31/180 (pow.f64 x 6)) (+.f64 (.f64 -7/6 (pow.f64 x 4)) (.f64 -127/10080 (pow.f64 x 8)))))
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(+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(+.f64 (.f64 4 (-.f64 1 (cos.f64 x))) (.f64 -4 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
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(+.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (.f64 (cos.f64 x) -2)))))) 0)
(+.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (.f64 (cos.f64 x) -2))))) (.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1)))))
(+.f64 (+.f64 16 (.f64 16 (+.f64 (cos.f64 x) -1))) (+.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (.f64 (cos.f64 x) -2))))) (.f64 (+.f64 16 (.f64 16 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))))
(+.f64 0 (.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (.f64 (cos.f64 x) -2)))))))
(+.f64 (.f64 (+.f64 16 (.f64 16 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)) (+.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (.f64 (cos.f64 x) -2))))) (+.f64 16 (.f64 16 (+.f64 (cos.f64 x) -1)))))
(+.f64 (+.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (.f64 (cos.f64 x) -2))))) (.f64 (+.f64 16 (.f64 16 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))) (+.f64 16 (.f64 16 (+.f64 (cos.f64 x) -1))))
(+.f64 (+.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (.f64 (cos.f64 x) -2))))) (+.f64 16 (.f64 16 (+.f64 (cos.f64 x) -1)))) (.f64 (+.f64 16 (.f64 16 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)))
(.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (.f64 (cos.f64 x) -2))))))
(.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2)))))) 1)
(.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)) (+.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4) -4))) -1)
(.f64 (+.f64 (.f64 (+.f64 (cos.f64 x) -1) -4) -4) (+.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)) (+.f64 (.f64 (+.f64 (cos.f64 x) -1) -4) -4)))
(.f64 (+.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (.f64 (cos.f64 x) -2))))) (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))))
(.f64 -1 (.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (+.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)) (+.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4) -4))))
(.f64 (+.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)) (+.f64 (.f64 (+.f64 (cos.f64 x) -1) -4) -4)) (+.f64 (.f64 (+.f64 (cos.f64 x) -1) -4) -4))
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(if (!=.f64 (.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)) (+.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)) (+.f64 (.f64 (+.f64 (cos.f64 x) -1) -4) -4))) 0) (/.f64 (neg.f64 (.f64 (.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)) (+.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)) (+.f64 (.f64 (+.f64 (cos.f64 x) -1) -4) -4))) (.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)) (+.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)) (+.f64 (.f64 (+.f64 (cos.f64 x) -1) -4) -4))))) (.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)) (+.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)) (+.f64 (.f64 (+.f64 (cos.f64 x) -1) -4) -4)))) (.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)) (+.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2)))))))
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(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)) (+.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)) (+.f64 (.f64 (+.f64 (cos.f64 x) -1) -4) -4))) 0)) 0) (.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)) (+.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2)))))))
(-.f64 (.f64 (+.f64 (cos.f64 x) -1) -4) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (+.f64 (cos.f64 x) -1) -4)))
(-.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) -4) (+.f64 (cos.f64 x) -1)) (*.f64 4 (+.f64 (cos.f64 x) -1)))
(-.f64 0 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2)))))
(.f64 2 (-.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 -2 (.f64 (cos.f64 x) -2))) (-.f64 -2 (.f64 (cos.f64 x) -2))))
(.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (*.f64 (cos.f64 x) -2)) -2))
(.f64 -2 (-.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 2 (.f64 (cos.f64 x) -2))) (+.f64 2 (.f64 (cos.f64 x) -2))))
(.f64 -1 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (.f64 (cos.f64 x) -2)))))
(.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (.f64 (cos.f64 x) -2)))) -1)
(.f64 (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 -2 (.f64 (cos.f64 x) -2)))) -2)
(.f64 (-.f64 -2 (-.f64 -2 (.f64 (cos.f64 x) -2))) (-.f64 -2 (*.f64 (cos.f64 x) -2)))
(.f64 (-.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (.f64 (-.f64 1 (cos.f64 x)) (+.f64 2 (.f64 (cos.f64 x) -2)))) 2)
(/.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (*.f64 (cos.f64 x) -2)) -2)) 1)
(/.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2)))) -1)
(neg.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (*.f64 (cos.f64 x) -2)))))
(if (!=.f64 (.f64 (+.f64 (cos.f64 x) -1) -4) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (.f64 (cos.f64 x) -2)))) -4)) (.f64 (+.f64 (cos.f64 x) -1) -4)) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)))
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(if (!=.f64 (.f64 4 (+.f64 (cos.f64 x) -1)) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (.f64 (cos.f64 x) -2)))) -4)) (.f64 (+.f64 (cos.f64 x) -1) -4)) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)))
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Outputs
16
(+.f64 16 (*.f64 -24 (pow.f64 x 2)))
(+.f64 (.f64 14 (pow.f64 x 4)) (+.f64 16 (.f64 -24 (pow.f64 x 2))))
(+.f64 16 (+.f64 (.f64 -24 (pow.f64 x 2)) (.f64 14 (pow.f64 x 4))))
(+.f64 (.f64 -24 (pow.f64 x 2)) (+.f64 16 (.f64 14 (pow.f64 x 4))))
(+.f64 (.f64 14 (pow.f64 x 4)) (+.f64 16 (+.f64 (.f64 -24 (pow.f64 x 2)) (*.f64 -61/15 (pow.f64 x 6)))))
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(if (!=.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) -4) (+.f64 (cos.f64 x) -1)) 0) (/.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 16) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 16)) (+.f64 (cos.f64 x) -1))) (.f64 (.f64 (+.f64 (cos.f64 x) -1) -4) (+.f64 (cos.f64 x) -1))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)))
(if (!=.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 -4 (+.f64 (cos.f64 x) -1))) 0) (/.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 16 (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1))) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (-.f64 1 (cos.f64 x)) (.f64 16 (-.f64 1 (cos.f64 x)))))) (.f64 (+.f64 (cos.f64 x) -1) (.f64 -4 (+.f64 (cos.f64 x) -1)))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (+.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) 2)))
(if (!=.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 4 (+.f64 (cos.f64 x) -1))) 0) (/.f64 (-.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 16 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 16 (.f64 16 (cos.f64 x)))))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 4 (+.f64 (cos.f64 x) -1)))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 2 (+.f64 2 (.f64 (cos.f64 x) -2)))))
(if (!=.f64 (+.f64 (.f64 (+.f64 (cos.f64 x) -1) -4) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) -4))) 0) (/.f64 (-.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 16)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 16) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))) (+.f64 (.f64 (+.f64 (cos.f64 x) -1) -4) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) -4)))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (*.f64 (cos.f64 x) -2)) -2)))
(if (!=.f64 (+.f64 (.f64 -4 (+.f64 (cos.f64 x) -1)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 -4 (+.f64 (cos.f64 x) -1)))) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 (.f64 16 (-.f64 1 (cos.f64 x))) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (+.f64 (cos.f64 x) -1) (.f64 16 (-.f64 1 (cos.f64 x))))))) (+.f64 (.f64 -4 (+.f64 (cos.f64 x) -1)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 -4 (+.f64 (cos.f64 x) -1))))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (+.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) 2)))
(if (!=.f64 (.f64 (+.f64 (cos.f64 x) -1) (-.f64 -4 (-.f64 4 (.f64 4 (cos.f64 x))))) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 (-.f64 16 (.f64 16 (cos.f64 x))) (.f64 (+.f64 (cos.f64 x) -1) (.f64 16 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))))) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 -4 (-.f64 4 (.f64 4 (cos.f64 x)))))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 2 (+.f64 2 (.f64 (cos.f64 x) -2)))))
(if (!=.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) -4)) 0) (/.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 16) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 16)) (+.f64 (cos.f64 x) -1))) (.f64 (.f64 (+.f64 (cos.f64 x) -1) -4) (+.f64 (cos.f64 x) -1))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) -2)))
(if (!=.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 -4 (+.f64 (cos.f64 x) -1))) 0) (/.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 16 (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1))) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (-.f64 1 (cos.f64 x)) (.f64 16 (-.f64 1 (cos.f64 x)))))) (.f64 (+.f64 (cos.f64 x) -1) (.f64 -4 (+.f64 (cos.f64 x) -1)))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (+.f64 (-.f64 -2 (.f64 (cos.f64 x) -2)) 2)))
(if (!=.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 4 (.f64 4 (cos.f64 x)))) 0) (/.f64 (-.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 16 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 16 (.f64 16 (cos.f64 x)))))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 4 (+.f64 (cos.f64 x) -1)))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 2 (+.f64 2 (.f64 (cos.f64 x) -2)))))

eval4.9s (26.4%)

Compiler: Compiled 254979 to 175308 computations (31.2% saved)

prune1.2s (6.4%)

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1889	25	1914
Fresh	6	2	8
Picked	1	0	1
Done	1	4	5
Total	1897	31	1928

Error

0.2b

Counts

1928 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	28.1b	(/.f64 (if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) 1)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
	27.7b	(/.f64 (if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x))) (sin.f64 x))
▶	27.7b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
	28.2b	(/.f64 (/.f64 (/.f64 (if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) 1)) (+.f64 (cos.f64 x) -1)) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
	27.8b	(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (+.f64 (cos.f64 x) -1) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (neg.f64 (+.f64 (cos.f64 x) -2))) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
	27.9b	(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2)) 2) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
✓	27.7b	(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
	28.4b	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 4 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2)))) (.f64 (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2))) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) -2))))) (+.f64 (+.f64 (.f64 (+.f64 4 (.f64 4 (+.f64 (cos.f64 x) -1))) (.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (-.f64 -2 (-.f64 -2 (.f64 (cos.f64 x) -2))))) (+.f64 16 (.f64 16 (+.f64 (cos.f64 x) -1)))) (.f64 (+.f64 16 (*.f64 16 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)))) (sin.f64 x))
	27.9b	(/.f64 (/.f64 (-.f64 (.f64 -2 (.f64 (-.f64 1 (cos.f64 x)) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 4 (.f64 -2 (*.f64 (-.f64 1 (cos.f64 x)) -2)))) (sin.f64 x))
	27.7b	(/.f64 (/.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (sin.f64 x))
	27.7b	(/.f64 (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
	30.4b	(/.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2)))))) (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))))) (.f64 (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (-.f64 (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2)))))))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
	30.3b	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))) (-.f64 4 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
	28.4b	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) 4) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
▶	27.7b	(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
▶	27.7b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (if (!=.f64 (.f64 (cos.f64 x) (cos.f64 x)) 0) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
	27.8b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (-.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
	28.1b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (-.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
	28.2b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))))) (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))))))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
	30.3b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) 4) (.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)))) (-.f64 16 (.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (*.f64 x 2)) 2)) 4))))) (sin.f64 x))
	30.4b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (-.f64 (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2)))))) (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))))) (.f64 (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (-.f64 (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (*.f64 x 2)))))))))) (sin.f64 x))
	28.3b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 (*.f64 x 2))) -2))) (sin.f64 x))
	30.3b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (+.f64 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))) (-.f64 4 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (*.f64 x 2))))))))) (sin.f64 x))
▶	28.3b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) 4))) (sin.f64 x))
	29.9b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (.f64 (+.f64 (neg.f64 (cos.f64 (.f64 x 2))) 1) (-.f64 -1 (cos.f64 (.f64 x 2)))) (+.f64 -2 (.f64 2 (cos.f64 (*.f64 x 2))))))) (sin.f64 x))
	29.9b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 (+.f64 1 (cos.f64 (.f64 x 2))) 2)) (+.f64 (+.f64 (.f64 2 (cos.f64 (*.f64 x 2))) 2) -4)))) (sin.f64 x))
	28.1b	(/.f64 (/.f64 (.f64 (cos.f64 x) (if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (-.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
✓	27.7b	(/.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x)) (sin.f64 x))
✓	27.6b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶	34.7b	(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
✓	34.0b	(*.f64 1/2 x)

Compiler

Compiled 3080 to 1823 computations (40.8% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
✓	0.2b	(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
✓	0.2b	(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))
	1.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 56 to 31 computations (44.6% saved)

series59.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
57.0ms	x	@	-inf	(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
1.0ms	x	@	inf	(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
0.0ms	x	@	0	(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
0.0ms	x	@	0	(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))
0.0ms	x	@	0	(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x))) (sin.f64 x))

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`rational_best-simplify-96`
940×	`rational_best-simplify-61`
928×	`rational_best-simplify-65`
642×	`rational_best-simplify-3`
524×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	123
1	73	123
2	429	123
3	3002	123

Stop Event

1×	node limit

Counts

3 → 27

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 -1 (cos.f64 x)) 0) (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x))))))))

()

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

simplify64.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

910×	`rational_best-simplify-61`
894×	`rational_best-simplify-65`
878×	`rational_best-simplify-96`
596×	`rational_best-simplify-3`
556×	`rational_best-simplify-62`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	125	2047
1	515	1737
2	3202	1737

Stop Event

1×	node limit

Counts

63 → 60

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))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 -5/24 (pow.f64 x 4))))
(+.f64 (.f64 -277/8064 (pow.f64 x 8)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (.f64 -5/24 (pow.f64 x 4)))))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x))) 0)
(-.f64 0 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))))
(.f64 -1 (neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))))
(.f64 (neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))) -1)
(neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))))
(if (!=.f64 (/.f64 -1 (cos.f64 x)) 0) (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x))))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) 0)
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (.f64 (/.f64 -1 (cos.f64 x)) 0))
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))))
(+.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) (.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))
(+.f64 (.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (cos.f64 x))) (.f64 1 (/.f64 -1 (cos.f64 x))))
(+.f64 (.f64 (/.f64 -1 (cos.f64 x)) 0) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) 0)
(-.f64 0 (*.f64 (/.f64 -1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))
(-.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))))
(-.f64 (*.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (/.f64 -1 (cos.f64 x))))
(-.f64 (.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (.f64 1 (/.f64 -1 (cos.f64 x)))))
(-.f64 (.f64 (/.f64 -1 (cos.f64 x)) 0) (.f64 (/.f64 -1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) 1)
(/.f64 (*.f64 (/.f64 -1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) -1)
(/.f64 (+.f64 (.f64 (/.f64 -1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (.f64 (/.f64 -1 (cos.f64 x)) (+.f64 (cos.f64 x) -1))) -2)
(neg.f64 (*.f64 (/.f64 -1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))
(if (!=.f64 (+.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x)))) 0) (/.f64 (-.f64 (.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) (.f64 1 (/.f64 -1 (cos.f64 x)))) (.f64 (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))))) (+.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))))
(if (!=.f64 (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))) 0) (/.f64 (-.f64 (.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x)))) (.f64 (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))))) (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))))
(if (!=.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) 0) (/.f64 (-.f64 (.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) (.f64 1 (/.f64 -1 (cos.f64 x)))) (.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))))) (.f64 1 (/.f64 -1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (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 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/2 x) (-.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 (pow.f64 x 7) -17/40320) (.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))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -1/2)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/24 (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (pow.f64 x 4) -5/24))
(-.f64 (.f64 (pow.f64 x 4) -5/24) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 -5/24 (pow.f64 x 4))))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 (.f64 (pow.f64 x 4) -5/24) (*.f64 (pow.f64 x 6) -61/720)))
(-.f64 (.f64 (pow.f64 x 6) -61/720) (-.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) -5/24)))
(+.f64 (.f64 -277/8064 (pow.f64 x 8)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (.f64 -5/24 (pow.f64 x 4)))))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 (+.f64 (.f64 (pow.f64 x 4) -5/24) (.f64 (pow.f64 x 6) -61/720)) (.f64 (pow.f64 x 8) -277/8064)))
(+.f64 (-.f64 (.f64 (pow.f64 x 4) -5/24) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 x 8) -277/8064) (.f64 (pow.f64 x 6) -61/720)))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (pow.f64 x 4) -5/24)) (+.f64 (.f64 (pow.f64 x 6) -61/720) (.f64 (pow.f64 x 8) -277/8064)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x))) 0)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))
(-.f64 0 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))
(.f64 -1 (neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))
(.f64 (neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))) -1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))
(neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))
(if (!=.f64 (/.f64 -1 (cos.f64 x)) 0) (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) 0)
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (.f64 (/.f64 -1 (cos.f64 x)) 0))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(+.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) (.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(+.f64 (*.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (cos.f64 x))) (/.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(+.f64 (.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (cos.f64 x))) (.f64 1 (/.f64 -1 (cos.f64 x))))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(+.f64 (.f64 (/.f64 -1 (cos.f64 x)) 0) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) 0)
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(-.f64 0 (*.f64 (/.f64 -1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(-.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (/.f64 -1 (cos.f64 x))))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(-.f64 (.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (.f64 1 (/.f64 -1 (cos.f64 x)))))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(-.f64 (.f64 (/.f64 -1 (cos.f64 x)) 0) (.f64 (/.f64 -1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) 1)
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 -1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) -1)
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(/.f64 (+.f64 (.f64 (/.f64 -1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)) (.f64 (/.f64 -1 (cos.f64 x)) (+.f64 (cos.f64 x) -1))) -2)
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(neg.f64 (*.f64 (/.f64 -1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(if (!=.f64 (+.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x)))) 0) (/.f64 (-.f64 (.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) (.f64 1 (/.f64 -1 (cos.f64 x)))) (.f64 (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))))) (+.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(if (!=.f64 (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))) 0) (/.f64 (-.f64 (.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x)))) (.f64 (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))))) (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))
(if (!=.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) 0) (/.f64 (-.f64 (.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) (.f64 1 (/.f64 -1 (cos.f64 x)))) (.f64 (.f64 1 (/.f64 -1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))))) (.f64 1 (/.f64 -1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))))
(+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)))

localize27.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite15.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	8	13

Stop Event

1×

saturated

Counts

1 → 0

Calls

Call 1

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

Outputs
()

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	156
1	8	156

Stop Event

1×

saturated

Counts

12 → 1

Calls

Call 1

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

Outputs
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 -1/24 (pow.f64 x 3))

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
	0.2b	(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
	0.3b	(*.f64 (cos.f64 x) (cos.f64 x))
	1.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 135 to 53 computations (60.7% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))

1.0ms

-inf

(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))

1.0ms

inf

(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`rational_best-simplify-61`
1166×	`rational_best-simplify-65`
888×	`rational_best-simplify-3`
682×	`rational_best-simplify-62`
510×	`rational_best-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	95
1	84	95
2	485	95
3	3448	21

Stop Event

1×	node limit

Counts

1 → 0

Calls

Call 1

Inputs
(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))

Outputs
()

simplify84.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

928×	`rational_best-simplify-53`
870×	`rational_best-simplify-56`
814×	`rational_best-simplify-52`
664×	`rational_best-simplify-1`
514×	`rational_best-simplify-21`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	866
1	139	860
2	749	752
3	5191	752

Stop Event

1×	node limit

Counts

12 → 19

Calls

Call 1

Inputs
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)
(+.f64 (.f64 2/3 (.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)) (/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2/15 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 -4/9 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (.f64 2/3 (.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)) (/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 4/45 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (+.f64 (.f64 2/3 (+.f64 (.f64 2/15 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 -4/9 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 -4/315 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (pow.f64 x 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2/15 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 -4/9 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (.f64 2/3 (.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)) (/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x))))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))

Outputs
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x)
(+.f64 (.f64 2/3 (.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)) (/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x))
(+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 2/3 x)))
(+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 x 2/3)))
(+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (.f64 x (.f64 (-.f64 1 (cos.f64 x)) (.f64 2/3 (cos.f64 x)))))
(+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (.f64 (cos.f64 x) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x -2/3))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2/15 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 -4/9 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (.f64 2/3 (.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)) (/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)))
(+.f64 (+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 2/3 x))) (.f64 -1 (.f64 (+.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 2/15) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) -4/9)) (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 x 2/3))) (neg.f64 (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 2/15 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 -4/9 (cos.f64 x)))) (pow.f64 x 3))))
(+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (-.f64 (.f64 x (.f64 (-.f64 1 (cos.f64 x)) (.f64 2/3 (cos.f64 x)))) (.f64 (.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) -14/45) (pow.f64 x 3))))
(+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (-.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x -2/3))) (.f64 (.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) -14/45) (pow.f64 x 3))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 4/45 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (+.f64 (.f64 2/3 (+.f64 (.f64 2/15 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 -4/9 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 -4/315 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (pow.f64 x 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2/15 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 -4/9 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (.f64 2/3 (.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)) (/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x))))
(+.f64 (+.f64 (+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 2/3 x))) (.f64 -1 (.f64 (+.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 2/15) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) -4/9)) (pow.f64 x 3)))) (.f64 -1 (.f64 (+.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 4/45) (+.f64 (.f64 2/3 (+.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 2/15) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) -4/9))) (.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) -4/315))) (pow.f64 x 5))))
(+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (+.f64 (+.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 x 2/3)) (neg.f64 (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 2/15 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 -4/9 (cos.f64 x)))) (pow.f64 x 3)))) (neg.f64 (.f64 (+.f64 (.f64 2/3 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 2/15 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 -4/9 (cos.f64 x))))) (+.f64 (.f64 (cos.f64 x) (.f64 4/45 (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (*.f64 -4/315 (-.f64 1 (cos.f64 x)))))) (pow.f64 x 5)))))
(+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (+.f64 (.f64 (pow.f64 x 5) (+.f64 (.f64 (.f64 (cos.f64 x) 4/45) (+.f64 (cos.f64 x) -1)) (-.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 4/315) (.f64 2/3 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) -14/45))))) (-.f64 (.f64 x (.f64 (-.f64 1 (cos.f64 x)) (.f64 2/3 (cos.f64 x)))) (.f64 (.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) -14/45) (pow.f64 x 3)))))
(+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (+.f64 (.f64 (pow.f64 x 5) (+.f64 (.f64 (.f64 (cos.f64 x) 4/45) (+.f64 (cos.f64 x) -1)) (-.f64 (.f64 (cos.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 4/315)) (.f64 2/3 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) -14/45))))) (-.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x -2/3))) (.f64 (.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) -14/45) (pow.f64 x 3)))))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))

localize60.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cos.f64 (*.f64 x 2))
	0.3b	(*.f64 (cos.f64 x) (cos.f64 x))
✓	0.6b	(+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2))
	1.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 154 to 93 computations (39.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`rational_best-simplify-111`
888×	`rational_best-simplify-96`
758×	`rational_best-simplify-61`
700×	`rational_best-simplify-65`
512×	`rational_best-simplify-110`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	17	44
2	71	44
3	382	44
4	2375	34

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2))
(cos.f64 (*.f64 x 2))

Outputs

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

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

simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1224×	`rational_best-simplify-61`
874×	`rational_best-simplify-62`
786×	`rational_best-simplify-3`
700×	`rational_best-simplify-1`
578×	`rational_best-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	158	2042
1	684	2018
2	4459	2018

Stop Event

1×	node limit

Counts

78 → 91

Calls

Call 1

Inputs
4
(+.f64 4 (*.f64 -4 (pow.f64 x 2)))
(+.f64 4 (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 4/3 (pow.f64 x 4))))
(+.f64 4 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8/45 (pow.f64 x 6)) (*.f64 4/3 (pow.f64 x 4)))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 2 x))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 2 x))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 2 x))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 2 x))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 2 x))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 2 x))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 2 x))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 2 x))))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 2 x))
(-.f64 2 (.f64 (cos.f64 (.f64 x 2)) -2))
(-.f64 (cos.f64 (.f64 x 2)) (-.f64 -2 (cos.f64 (.f64 x 2))))
(-.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (neg.f64 (cos.f64 (.f64 x 2))))
(-.f64 (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))) 0)
(-.f64 (.f64 2 (cos.f64 (.f64 x 2))) -2)
(-.f64 0 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)))
(.f64 (+.f64 2 (.f64 2 (cos.f64 (*.f64 x 2)))) 1)
(.f64 -1 (+.f64 -2 (.f64 (cos.f64 (*.f64 x 2)) -2)))
(.f64 (+.f64 -2 (.f64 (cos.f64 (*.f64 x 2)) -2)) -1)
(/.f64 (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))) 1)
(/.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) -1)
(/.f64 (+.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2))) -2)
(/.f64 (.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) (-.f64 -1 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)))) (+.f64 (+.f64 -2 (.f64 (cos.f64 (*.f64 x 2)) -2)) 1))
(/.f64 (+.f64 (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))) 2)
(/.f64 (+.f64 (+.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2))) (+.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)))) -4)
(/.f64 (+.f64 (.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) (-.f64 -1 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)))) (.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) (-.f64 -1 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2))))) (+.f64 (+.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) 1) (+.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) 1)))
(pow.f64 (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))) 1)
(neg.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)))
(if (!=.f64 (neg.f64 (cos.f64 (.f64 x 2))) 0) (/.f64 (.f64 (cos.f64 (.f64 x 2)) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))) (cos.f64 (.f64 x 2))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 (+.f64 2 (cos.f64 (.f64 x 2))) 0) (/.f64 (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2))) (-.f64 -2 (cos.f64 (.f64 x 2)))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 2 0) (/.f64 (-.f64 (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2)))) (.f64 (cos.f64 (.f64 x 2)) (cos.f64 (.f64 x 2)))) 2) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 2 0) (/.f64 (-.f64 4 (.f64 (neg.f64 (cos.f64 (.f64 x 2))) 4)) 2) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 (+.f64 (.f64 2 (cos.f64 (.f64 x 2))) -2) 0) (/.f64 (-.f64 -4 (.f64 (.f64 (neg.f64 (cos.f64 (.f64 x 2))) 4) (cos.f64 (.f64 x 2)))) (+.f64 (.f64 2 (cos.f64 (.f64 x 2))) -2)) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 -2 0) (/.f64 (-.f64 (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2)))) (.f64 (cos.f64 (.f64 x 2)) (cos.f64 (.f64 x 2)))) 2) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 -2 0) (/.f64 (-.f64 4 (.f64 (neg.f64 (cos.f64 (.f64 x 2))) 4)) 2) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 (-.f64 -2 (cos.f64 (.f64 x 2))) 0) (/.f64 (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2))) (-.f64 -2 (cos.f64 (.f64 x 2)))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 (.f64 (cos.f64 (.f64 x 2)) -2) 0) (/.f64 (.f64 (.f64 (cos.f64 (.f64 x 2)) -2) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))) (.f64 (cos.f64 (.f64 x 2)) -2)) (+.f64 2 (.f64 2 (cos.f64 (*.f64 x 2)))))
(if (!=.f64 (cos.f64 (.f64 x 2)) 0) (/.f64 (.f64 (cos.f64 (.f64 x 2)) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))) (cos.f64 (.f64 x 2))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 (.f64 2 (cos.f64 (.f64 x 2))) 0) (/.f64 (.f64 (.f64 (cos.f64 (.f64 x 2)) -2) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))) (.f64 (cos.f64 (.f64 x 2)) -2)) (+.f64 2 (.f64 2 (cos.f64 (*.f64 x 2)))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 0 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)))) 0) (+.f64 2 (.f64 2 (cos.f64 (*.f64 x 2)))))
(if (!=.f64 (+.f64 2 (.f64 (cos.f64 (.f64 x 2)) -2)) 0) (/.f64 (+.f64 4 (.f64 (.f64 (neg.f64 (cos.f64 (.f64 x 2))) 4) (cos.f64 (.f64 x 2)))) (+.f64 2 (.f64 (cos.f64 (.f64 x 2)) -2))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) 0) (/.f64 (.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))) (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2))) (+.f64 2 (.f64 2 (cos.f64 (*.f64 x 2)))))
(+.f64 (cos.f64 (*.f64 x 2)) 0)
(+.f64 0 (cos.f64 (*.f64 x 2)))
(-.f64 (cos.f64 (*.f64 x 2)) 0)
(-.f64 0 (neg.f64 (cos.f64 (*.f64 x 2))))
(.f64 (cos.f64 (.f64 x 2)) 1)
(.f64 (neg.f64 (cos.f64 (.f64 x 2))) -1)
(.f64 -1 (neg.f64 (cos.f64 (.f64 x 2))))
(.f64 1 (cos.f64 (.f64 x 2)))
(/.f64 (cos.f64 (*.f64 x 2)) 1)
(/.f64 (neg.f64 (cos.f64 (*.f64 x 2))) -1)
(/.f64 (.f64 2 (cos.f64 (.f64 x 2))) 2)
(/.f64 (.f64 (cos.f64 (.f64 x 2)) -2) -2)
(/.f64 (.f64 (neg.f64 (cos.f64 (.f64 x 2))) 4) -4)
(/.f64 (.f64 (cos.f64 (.f64 x 2)) (-.f64 1 (cos.f64 (.f64 x 2)))) (-.f64 1 (cos.f64 (.f64 x 2))))
(/.f64 (+.f64 (.f64 (cos.f64 (.f64 x 2)) (-.f64 1 (cos.f64 (.f64 x 2)))) (.f64 (cos.f64 (.f64 x 2)) (-.f64 1 (cos.f64 (.f64 x 2))))) (+.f64 (-.f64 1 (cos.f64 (.f64 x 2))) (-.f64 1 (cos.f64 (.f64 x 2)))))
(pow.f64 (cos.f64 (*.f64 x 2)) 1)
(neg.f64 (neg.f64 (cos.f64 (*.f64 x 2))))
(if (!=.f64 (neg.f64 (cos.f64 (.f64 x 2))) 0) (+.f64 (cos.f64 (.f64 x 2)) (/.f64 0 (cos.f64 (.f64 x 2)))) (cos.f64 (.f64 x 2)))
(if (!=.f64 (cos.f64 (.f64 x 2)) 0) (+.f64 (cos.f64 (.f64 x 2)) (/.f64 0 (cos.f64 (.f64 x 2)))) (cos.f64 (.f64 x 2)))
(if (!=.f64 (cos.f64 (.f64 x 2)) 0) (+.f64 (cos.f64 (.f64 x 2)) (/.f64 0 (cos.f64 (*.f64 x 2)))) 0)
(if (!=.f64 0 0) 1 (cos.f64 (*.f64 x 2)))
(if (!=.f64 -1 0) (cos.f64 (.f64 x 2)) (cos.f64 (.f64 x 2)))

Outputs
4
(+.f64 4 (*.f64 -4 (pow.f64 x 2)))
(-.f64 4 (*.f64 (pow.f64 x 2) 4))
(-.f64 4 (*.f64 4 (pow.f64 x 2)))
(+.f64 4 (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 4/3 (pow.f64 x 4))))
(+.f64 (-.f64 4 (.f64 (pow.f64 x 2) 4)) (.f64 4/3 (pow.f64 x 4)))
(+.f64 (-.f64 4 (.f64 4 (pow.f64 x 2))) (.f64 4/3 (pow.f64 x 4)))
(+.f64 4 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8/45 (pow.f64 x 6)) (*.f64 4/3 (pow.f64 x 4)))))
(+.f64 4 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (*.f64 -8/45 (pow.f64 x 6)))))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 4 (+.f64 (.f64 4/3 (pow.f64 x 4)) (*.f64 -8/45 (pow.f64 x 6)))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 2 x))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 2 x))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 2 x))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 2 x))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 2 x))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 2 x))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 2 x))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 2 x))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 (pow.f64 x 2) -2))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 2) -2)))
(+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 1 (.f64 (pow.f64 x 4) 2/3)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 (+.f64 1 (.f64 (pow.f64 x 6) -4/45)) (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 1 (+.f64 (+.f64 (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 6) -4/45)) (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 2) -2) (*.f64 (pow.f64 x 6) -4/45))))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x 2))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x 2))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x 2))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x 2))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x 2))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x 2))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x 2))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x 2))
(-.f64 2 (.f64 (cos.f64 (.f64 x 2)) -2))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(-.f64 (cos.f64 (.f64 x 2)) (-.f64 -2 (cos.f64 (.f64 x 2))))
(+.f64 2 (+.f64 (cos.f64 (.f64 x 2)) (cos.f64 (.f64 x 2))))
(-.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (neg.f64 (cos.f64 (.f64 x 2))))
(-.f64 (cos.f64 (.f64 x 2)) (-.f64 -2 (cos.f64 (.f64 x 2))))
(+.f64 2 (+.f64 (cos.f64 (.f64 x 2)) (cos.f64 (.f64 x 2))))
(-.f64 (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))) 0)
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(-.f64 (.f64 2 (cos.f64 (.f64 x 2))) -2)
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(-.f64 0 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(.f64 (+.f64 2 (.f64 2 (cos.f64 (*.f64 x 2)))) 1)
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(.f64 -1 (+.f64 -2 (.f64 (cos.f64 (*.f64 x 2)) -2)))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(.f64 (+.f64 -2 (.f64 (cos.f64 (*.f64 x 2)) -2)) -1)
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(/.f64 (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))) 1)
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(/.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) -1)
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(/.f64 (+.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2))) -2)
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(/.f64 (.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) (-.f64 -1 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)))) (+.f64 (+.f64 -2 (.f64 (cos.f64 (*.f64 x 2)) -2)) 1))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(/.f64 (+.f64 (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))) 2)
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(/.f64 (+.f64 (+.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2))) (+.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)))) -4)
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(/.f64 (+.f64 (.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) (-.f64 -1 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)))) (.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) (-.f64 -1 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2))))) (+.f64 (+.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) 1) (+.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) 1)))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(pow.f64 (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))) 1)
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(neg.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(if (!=.f64 (neg.f64 (cos.f64 (.f64 x 2))) 0) (/.f64 (.f64 (cos.f64 (.f64 x 2)) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))) (cos.f64 (.f64 x 2))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 (+.f64 2 (cos.f64 (.f64 x 2))) 0) (/.f64 (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2))) (-.f64 -2 (cos.f64 (.f64 x 2)))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 (+.f64 2 (cos.f64 (.f64 x 2))) 0) (/.f64 (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (+.f64 -2 (.f64 -2 (cos.f64 (.f64 x 2))))) (-.f64 -2 (cos.f64 (.f64 x 2)))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 (+.f64 2 (cos.f64 (.f64 x 2))) 0) (/.f64 (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (-.f64 -2 (cos.f64 (.f64 x 2)))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 (+.f64 2 (cos.f64 (.f64 x 2))) 0) (/.f64 (.f64 (-.f64 -2 (cos.f64 (.f64 x 2))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))) (-.f64 -2 (cos.f64 (.f64 x 2)))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 2 0) (/.f64 (-.f64 (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2)))) (.f64 (cos.f64 (.f64 x 2)) (cos.f64 (.f64 x 2)))) 2) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 2 0) (/.f64 (-.f64 (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2)))) (pow.f64 (cos.f64 (.f64 x 2)) 2)) 2) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 2 0) (/.f64 (-.f64 4 (.f64 (neg.f64 (cos.f64 (.f64 x 2))) 4)) 2) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(if (!=.f64 (+.f64 (.f64 2 (cos.f64 (.f64 x 2))) -2) 0) (/.f64 (-.f64 -4 (.f64 (.f64 (neg.f64 (cos.f64 (.f64 x 2))) 4) (cos.f64 (.f64 x 2)))) (+.f64 (.f64 2 (cos.f64 (.f64 x 2))) -2)) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(if (!=.f64 -2 0) (/.f64 (-.f64 (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2)))) (.f64 (cos.f64 (.f64 x 2)) (cos.f64 (.f64 x 2)))) 2) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 -2 0) (/.f64 (-.f64 (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2)))) (pow.f64 (cos.f64 (.f64 x 2)) 2)) 2) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 -2 0) (/.f64 (-.f64 4 (.f64 (neg.f64 (cos.f64 (.f64 x 2))) 4)) 2) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(if (!=.f64 (-.f64 -2 (cos.f64 (.f64 x 2))) 0) (/.f64 (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2))) (-.f64 -2 (cos.f64 (.f64 x 2)))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 (-.f64 -2 (cos.f64 (.f64 x 2))) 0) (/.f64 (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (+.f64 -2 (.f64 -2 (cos.f64 (.f64 x 2))))) (-.f64 -2 (cos.f64 (.f64 x 2)))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 (-.f64 -2 (cos.f64 (.f64 x 2))) 0) (/.f64 (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (-.f64 -2 (cos.f64 (.f64 x 2)))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 (-.f64 -2 (cos.f64 (.f64 x 2))) 0) (/.f64 (.f64 (-.f64 -2 (cos.f64 (.f64 x 2))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))) (-.f64 -2 (cos.f64 (.f64 x 2)))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 (.f64 (cos.f64 (.f64 x 2)) -2) 0) (/.f64 (.f64 (.f64 (cos.f64 (.f64 x 2)) -2) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))) (.f64 (cos.f64 (.f64 x 2)) -2)) (+.f64 2 (.f64 2 (cos.f64 (*.f64 x 2)))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(if (!=.f64 (cos.f64 (.f64 x 2)) 0) (/.f64 (.f64 (cos.f64 (.f64 x 2)) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))) (cos.f64 (.f64 x 2))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(if (!=.f64 (.f64 2 (cos.f64 (.f64 x 2))) 0) (/.f64 (.f64 (.f64 (cos.f64 (.f64 x 2)) -2) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))) (.f64 (cos.f64 (.f64 x 2)) -2)) (+.f64 2 (.f64 2 (cos.f64 (*.f64 x 2)))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 0 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)))) 0) (+.f64 2 (.f64 2 (cos.f64 (*.f64 x 2)))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(if (!=.f64 (+.f64 2 (.f64 (cos.f64 (.f64 x 2)) -2)) 0) (/.f64 (+.f64 4 (.f64 (.f64 (neg.f64 (cos.f64 (.f64 x 2))) 4) (cos.f64 (.f64 x 2)))) (+.f64 2 (.f64 (cos.f64 (.f64 x 2)) -2))) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2)))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(if (!=.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) 0) (/.f64 (.f64 (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2)) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))) (+.f64 -2 (.f64 (cos.f64 (.f64 x 2)) -2))) (+.f64 2 (.f64 2 (cos.f64 (*.f64 x 2)))))
(+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))
(+.f64 (cos.f64 (*.f64 x 2)) 0)
(cos.f64 (*.f64 x 2))
(+.f64 0 (cos.f64 (*.f64 x 2)))
(cos.f64 (*.f64 x 2))
(-.f64 (cos.f64 (*.f64 x 2)) 0)
(cos.f64 (*.f64 x 2))
(-.f64 0 (neg.f64 (cos.f64 (*.f64 x 2))))
(cos.f64 (*.f64 x 2))
(.f64 (cos.f64 (.f64 x 2)) 1)
(cos.f64 (*.f64 x 2))
(.f64 (neg.f64 (cos.f64 (.f64 x 2))) -1)
(cos.f64 (*.f64 x 2))
(.f64 -1 (neg.f64 (cos.f64 (.f64 x 2))))
(cos.f64 (*.f64 x 2))
(.f64 1 (cos.f64 (.f64 x 2)))
(cos.f64 (*.f64 x 2))
(/.f64 (cos.f64 (*.f64 x 2)) 1)
(cos.f64 (*.f64 x 2))
(/.f64 (neg.f64 (cos.f64 (*.f64 x 2))) -1)
(cos.f64 (*.f64 x 2))
(/.f64 (.f64 2 (cos.f64 (.f64 x 2))) 2)
(/.f64 (.f64 -2 (cos.f64 (.f64 x 2))) -2)
(/.f64 (.f64 (cos.f64 (.f64 x 2)) -2) -2)
(/.f64 (.f64 2 (cos.f64 (.f64 x 2))) 2)
(/.f64 (.f64 -2 (cos.f64 (.f64 x 2))) -2)
(/.f64 (.f64 (neg.f64 (cos.f64 (.f64 x 2))) 4) -4)
(/.f64 (.f64 4 (neg.f64 (cos.f64 (.f64 x 2)))) -4)
(/.f64 (.f64 (cos.f64 (.f64 x 2)) -4) -4)
(/.f64 (.f64 -4 (cos.f64 (.f64 x 2))) -4)
(/.f64 (.f64 (cos.f64 (.f64 x 2)) (-.f64 1 (cos.f64 (.f64 x 2)))) (-.f64 1 (cos.f64 (.f64 x 2))))
(cos.f64 (*.f64 x 2))
(/.f64 (+.f64 (.f64 (cos.f64 (.f64 x 2)) (-.f64 1 (cos.f64 (.f64 x 2)))) (.f64 (cos.f64 (.f64 x 2)) (-.f64 1 (cos.f64 (.f64 x 2))))) (+.f64 (-.f64 1 (cos.f64 (.f64 x 2))) (-.f64 1 (cos.f64 (.f64 x 2)))))
(cos.f64 (*.f64 x 2))
(pow.f64 (cos.f64 (*.f64 x 2)) 1)
(cos.f64 (*.f64 x 2))
(neg.f64 (neg.f64 (cos.f64 (*.f64 x 2))))
(cos.f64 (*.f64 x 2))
(if (!=.f64 (neg.f64 (cos.f64 (.f64 x 2))) 0) (+.f64 (cos.f64 (.f64 x 2)) (/.f64 0 (cos.f64 (.f64 x 2)))) (cos.f64 (.f64 x 2)))
(cos.f64 (*.f64 x 2))
(if (!=.f64 (cos.f64 (.f64 x 2)) 0) (+.f64 (cos.f64 (.f64 x 2)) (/.f64 0 (cos.f64 (.f64 x 2)))) (cos.f64 (.f64 x 2)))
(cos.f64 (*.f64 x 2))
(if (!=.f64 (cos.f64 (.f64 x 2)) 0) (+.f64 (cos.f64 (.f64 x 2)) (/.f64 0 (cos.f64 (*.f64 x 2)))) 0)
(cos.f64 (*.f64 x 2))
(if (!=.f64 0 0) 1 (cos.f64 (*.f64 x 2)))
(cos.f64 (*.f64 x 2))
(if (!=.f64 -1 0) (cos.f64 (.f64 x 2)) (cos.f64 (.f64 x 2)))
(cos.f64 (*.f64 x 2))

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (if (!=.f64 (.f64 (cos.f64 x) (cos.f64 x)) 0) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))))
	0.3b	(*.f64 (cos.f64 x) (cos.f64 x))
✓	0.3b	(/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))
	1.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 211 to 60 computations (71.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1024×	`rational_best-simplify-96`
942×	`rational_best-simplify-61`
930×	`rational_best-simplify-65`
734×	`rational_best-simplify-3`
506×	`rational_best-simplify-62`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	152
1	76	152
2	404	148
3	2733	138

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

Inputs

(/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))

(/.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (if (!=.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 0) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x))))

Outputs

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

()

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

652×	`rational_best-simplify-111`
622×	`rational_best-simplify-113`
582×	`rational_best-simplify-96`
556×	`rational_best-simplify-61`
544×	`rational_best-simplify-65`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	1289
1	424	1283
2	2786	1015

Stop Event

1×	node limit

Counts

41 → 42

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))
(+.f64 (.f64 1/2 (.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (pow.f64 x 2))) (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))
(+.f64 (.f64 1/2 (.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (pow.f64 x 2))) (+.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 1/24 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/48 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (+.f64 (.f64 -1/720 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 1/2 (+.f64 (.f64 -1/4 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 1/24 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))))) (pow.f64 x 6))) (+.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 1/24 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (pow.f64 x 4))))))
(/.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x))
(/.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x))
(/.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x))
(/.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x))
(/.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x))
(/.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x))
(/.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x))
(/.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x))
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(+.f64 (cos.f64 x) (neg.f64 (neg.f64 (/.f64 0 (cos.f64 x)))))
(+.f64 (/.f64 0 (cos.f64 x)) (cos.f64 x))
(-.f64 (cos.f64 x) (neg.f64 (/.f64 0 (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))) 0)
(-.f64 0 (-.f64 (neg.f64 (cos.f64 x)) (/.f64 0 (cos.f64 x))))
(-.f64 (/.f64 0 (cos.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))) 1)
(*.f64 1 (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))))
(*.f64 -1 (-.f64 (neg.f64 (cos.f64 x)) (/.f64 0 (cos.f64 x))))
(*.f64 (-.f64 (neg.f64 (cos.f64 x)) (/.f64 0 (cos.f64 x))) -1)
(neg.f64 (-.f64 (neg.f64 (cos.f64 x)) (/.f64 0 (cos.f64 x))))
(neg.f64 (*.f64 (-.f64 (neg.f64 (cos.f64 x)) (/.f64 0 (cos.f64 x))) 1))
(if (!=.f64 (cos.f64 x) 0) (cos.f64 x) (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))))
(if (!=.f64 (-.f64 (/.f64 0 (cos.f64 x)) (cos.f64 x)) 0) (/.f64 (-.f64 (/.f64 0 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (/.f64 0 (cos.f64 x)) (cos.f64 x))) (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (/.f64 0 (cos.f64 x)) 0) (.f64 (cos.f64 x) (cos.f64 x))) (neg.f64 (cos.f64 x))) (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))))
(if (!=.f64 (/.f64 0 (cos.f64 x)) 0) (/.f64 (-.f64 (/.f64 0 (cos.f64 x)) (*.f64 (/.f64 0 (cos.f64 x)) 0)) (/.f64 0 (cos.f64 x))) (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 1 (*.f64 (pow.f64 x 2) 1/2))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (.f64 (pow.f64 x 4) -1/24)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6)))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 (.f64 1/2 (.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (pow.f64 x 2))) (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 1/2 (.f64 (cos.f64 x) (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 (*.f64 (pow.f64 x 2) 1/2) -1))
(+.f64 (.f64 1/2 (.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (pow.f64 x 2))) (+.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 1/24 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (pow.f64 x 4)))))
(+.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 x 4) (+.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) -1/4) (.f64 1/24 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 x) (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))) (+.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 (cos.f64 x) (.f64 -1/4 (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (*.f64 1/24 (-.f64 1 (cos.f64 x)))))))))
(+.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 (.f64 (pow.f64 x 2) 1/2) -1)) (.f64 (pow.f64 x 4) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 5/24)))
(+.f64 (.f64 1/2 (.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/48 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (+.f64 (.f64 -1/720 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 1/2 (+.f64 (.f64 -1/4 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 1/24 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))))) (pow.f64 x 6))) (+.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 1/24 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (pow.f64 x 4))))))
(+.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 1/2 (pow.f64 x 2))) (+.f64 (+.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 -1 (.f64 (pow.f64 x 4) (+.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) -1/4) (.f64 1/24 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))))) (.f64 -1 (.f64 (pow.f64 x 6) (+.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 1/48) (+.f64 (.f64 -1/720 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 1/2 (+.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) -1/4) (.f64 1/24 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))))))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 x) (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))) (+.f64 (neg.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 (cos.f64 x) (.f64 -1/4 (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (.f64 1/24 (-.f64 1 (cos.f64 x))))))) (+.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (.f64 (pow.f64 x 6) (+.f64 (.f64 (cos.f64 x) (.f64 1/48 (-.f64 1 (cos.f64 x)))) (+.f64 (.f64 -1/720 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (.f64 -1/4 (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (*.f64 1/24 (-.f64 1 (cos.f64 x)))))))))))))
(+.f64 (.f64 (pow.f64 x 4) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 5/24)) (+.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 (.f64 (pow.f64 x 2) 1/2) -1)) (.f64 (pow.f64 x 6) (-.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 5/24)) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 7/360)))))
(/.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))
(/.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))
(/.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))
(/.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))
(/.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))
(/.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))
(/.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))
(/.f64 (if (!=.f64 (pow.f64 (cos.f64 x) 2) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x))
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(/.f64 1 (/.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 x) (neg.f64 (neg.f64 (/.f64 0 (cos.f64 x)))))
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(/.f64 1 (/.f64 1 (cos.f64 x)))
(+.f64 (/.f64 0 (cos.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(/.f64 1 (/.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 x) (neg.f64 (/.f64 0 (cos.f64 x))))
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(/.f64 1 (/.f64 1 (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))) 0)
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(/.f64 1 (/.f64 1 (cos.f64 x)))
(-.f64 0 (-.f64 (neg.f64 (cos.f64 x)) (/.f64 0 (cos.f64 x))))
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(/.f64 1 (/.f64 1 (cos.f64 x)))
(-.f64 (/.f64 0 (cos.f64 x)) (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(/.f64 1 (/.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))) 1)
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(/.f64 1 (/.f64 1 (cos.f64 x)))
(*.f64 1 (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))))
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(/.f64 1 (/.f64 1 (cos.f64 x)))
(*.f64 -1 (-.f64 (neg.f64 (cos.f64 x)) (/.f64 0 (cos.f64 x))))
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(/.f64 1 (/.f64 1 (cos.f64 x)))
(*.f64 (-.f64 (neg.f64 (cos.f64 x)) (/.f64 0 (cos.f64 x))) -1)
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(/.f64 1 (/.f64 1 (cos.f64 x)))
(neg.f64 (-.f64 (neg.f64 (cos.f64 x)) (/.f64 0 (cos.f64 x))))
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(/.f64 1 (/.f64 1 (cos.f64 x)))
(neg.f64 (*.f64 (-.f64 (neg.f64 (cos.f64 x)) (/.f64 0 (cos.f64 x))) 1))
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(/.f64 1 (/.f64 1 (cos.f64 x)))
(if (!=.f64 (cos.f64 x) 0) (cos.f64 x) (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))))
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(/.f64 1 (/.f64 1 (cos.f64 x)))
(if (!=.f64 (-.f64 (/.f64 0 (cos.f64 x)) (cos.f64 x)) 0) (/.f64 (-.f64 (/.f64 0 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (/.f64 0 (cos.f64 x)) (cos.f64 x))) (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))))
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(/.f64 1 (/.f64 1 (cos.f64 x)))
(if (!=.f64 (neg.f64 (cos.f64 x)) 0) (/.f64 (-.f64 (.f64 (/.f64 0 (cos.f64 x)) 0) (.f64 (cos.f64 x) (cos.f64 x))) (neg.f64 (cos.f64 x))) (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))))
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(/.f64 1 (/.f64 1 (cos.f64 x)))
(if (!=.f64 (/.f64 0 (cos.f64 x)) 0) (/.f64 (-.f64 (/.f64 0 (cos.f64 x)) (*.f64 (/.f64 0 (cos.f64 x)) 0)) (/.f64 0 (cos.f64 x))) (+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x))))
(+.f64 (cos.f64 x) (/.f64 0 (cos.f64 x)))
(/.f64 1 (/.f64 1 (cos.f64 x)))

eval960.0ms (5.1%)

Compiler: Compiled 75989 to 37775 computations (50.3% saved)

prune396.0ms (2.1%)

Pruning

33 alts after pruning (27 fresh and 6 done)

	Pruned	Kept	Total
New	1171	13	1184
Fresh	8	14	22
Picked	1	0	1
Done	2	6	8
Total	1182	33	1215

Error

0.2b

Counts

1215 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	28.1b	(/.f64 (if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) 1)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
▶	27.7b	(/.f64 (if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x))) (sin.f64 x))
▶	27.7b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
	30.4b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2)))))) (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))))) (.f64 (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (-.f64 (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))))))) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
▶	30.3b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))) (-.f64 4 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2)))))))) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
	28.4b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) 4)) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
	27.8b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
	28.2b	(/.f64 (/.f64 (/.f64 (if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) 1)) (+.f64 (cos.f64 x) -1)) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
	27.8b	(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (+.f64 (cos.f64 x) -1) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (neg.f64 (+.f64 (cos.f64 x) -2))) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
	27.9b	(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2)) 2) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
✓	27.7b	(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
	27.9b	(/.f64 (/.f64 (-.f64 (.f64 -2 (.f64 (-.f64 1 (cos.f64 x)) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 4 (.f64 -2 (*.f64 (-.f64 1 (cos.f64 x)) -2)))) (sin.f64 x))
	27.7b	(/.f64 (/.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (sin.f64 x))
	27.7b	(/.f64 (/.f64 (+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
	28.3b	(/.f64 (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (*.f64 x 2)) 2)) 4))) (sin.f64 x))
	30.3b	(/.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2)))))) (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))))) (.f64 (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (-.f64 (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2)))))))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) 4))) (sin.f64 x))
▶	28.2b	(/.f64 (/.f64 (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) -2) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) 4))) (sin.f64 x))
	30.3b	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))) (-.f64 4 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))))) (if (!=.f64 (.f64 (cos.f64 x) (cos.f64 x)) 0) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
	30.3b	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))) (-.f64 4 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
✓	27.7b	(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
	27.7b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (if (!=.f64 1 0) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
	27.8b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (-.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
	28.1b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (-.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
	28.5b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (if (!=.f64 (+.f64 (.f64 2 (cos.f64 (.f64 x 2))) -2) 0) (/.f64 (-.f64 -4 (.f64 (.f64 (neg.f64 (cos.f64 (.f64 x 2))) 4) (cos.f64 (.f64 x 2)))) (+.f64 (.f64 2 (cos.f64 (.f64 x 2))) -2)) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))) 4))) (sin.f64 x))
	30.3b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) 4) (.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)))) (-.f64 16 (.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (*.f64 x 2)) 2)) 4))))) (sin.f64 x))
	30.4b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (-.f64 (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2)))))) (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))))) (.f64 (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (-.f64 (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (*.f64 x 2)))))))))) (sin.f64 x))
	28.3b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 (*.f64 x 2))) -2))) (sin.f64 x))
	30.3b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (+.f64 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))) (-.f64 4 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (*.f64 x 2))))))))) (sin.f64 x))
✓	27.7b	(/.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x)) (sin.f64 x))
✓	27.6b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶	27.7b	(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
✓	34.7b	(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
✓	34.0b	(*.f64 1/2 x)

Compiler

Compiled 2670 to 1871 computations (29.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
✓	0.2b	(*.f64 (cos.f64 x) (sin.f64 x))
✓	0.2b	(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
	1.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 36 to 14 computations (61.1% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`rational_best-simplify-113`
760×	`rational_best-simplify-61`
760×	`rational_best-simplify-111`
758×	`rational_best-simplify-96`
752×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	55	56
2	316	56
3	2146	56

Stop Event

1×	node limit

Counts

2 → 15

Calls

Call 1

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

Outputs

()

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

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational_best-simplify-61`
1222×	`rational_best-simplify-65`
882×	`rational_best-simplify-62`
730×	`rational_best-simplify-3`
676×	`rational_best-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	731
1	533	659
2	3411	659

Stop Event

1×	node limit

Counts

31 → 38

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
x
(+.f64 (*.f64 -2/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -2/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -4/315 (pow.f64 x 7)) (+.f64 (.f64 -2/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 0)
(-.f64 0 (/.f64 (sin.f64 (+.f64 x x)) -2))
(-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (cos.f64 x) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x)))))
(/.f64 (/.f64 (sin.f64 (+.f64 x x)) -2) -1)
(/.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))) 2)
(/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2)))))) 4)
(/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x)))) 4)
(/.f64 (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2)))))) (.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))))) (-.f64 4 (*.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))))))
(/.f64 (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x)))) (.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))))) (-.f64 4 (*.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))))))
(/.f64 (+.f64 (+.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2)))))) (+.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))))) 8)
(/.f64 (+.f64 (+.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x)))) (+.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))))) 8)
(/.f64 (+.f64 (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2)))))) (.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))))) (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2)))))) (.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2)))))))) (+.f64 (-.f64 4 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))))) (-.f64 4 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2)))))))))
(/.f64 (+.f64 (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x)))) (.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))))) (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x)))) (.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x)))))) (+.f64 (-.f64 4 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))))) (-.f64 4 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x)))))))
(neg.f64 (/.f64 (sin.f64 (+.f64 x x)) -2))

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 1/240 (pow.f64 x 5)) (-.f64 (.f64 x -1/2) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/2 x) (.f64 17/40320 (pow.f64 x 7))))
(+.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
x
(+.f64 (*.f64 -2/3 (pow.f64 x 3)) x)
(+.f64 x (*.f64 (pow.f64 x 3) -2/3))
(+.f64 (.f64 -2/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 x (+.f64 (.f64 (pow.f64 x 3) -2/3) (.f64 (pow.f64 x 5) 2/15)))
(+.f64 (.f64 (pow.f64 x 3) -2/3) (-.f64 x (.f64 (pow.f64 x 5) -2/15)))
(+.f64 x (-.f64 (.f64 (pow.f64 x 3) -2/3) (.f64 (pow.f64 x 5) -2/15)))
(+.f64 (.f64 -4/315 (pow.f64 x 7)) (+.f64 (.f64 -2/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(+.f64 (.f64 (pow.f64 x 3) -2/3) (+.f64 (+.f64 x (.f64 (pow.f64 x 5) 2/15)) (*.f64 (pow.f64 x 7) -4/315)))
(+.f64 (+.f64 x (.f64 (pow.f64 x 3) -2/3)) (+.f64 (.f64 (pow.f64 x 7) -4/315) (*.f64 (pow.f64 x 5) 2/15)))
(+.f64 (+.f64 x (.f64 (pow.f64 x 3) -2/3)) (+.f64 (.f64 (pow.f64 x 5) 2/15) (*.f64 (pow.f64 x 7) -4/315)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 0)
(+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 0)
(*.f64 (cos.f64 x) (sin.f64 x))
(-.f64 0 (/.f64 (sin.f64 (+.f64 x x)) -2))
(neg.f64 (/.f64 (sin.f64 (+.f64 x x)) -2))
(-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (cos.f64 x) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 0)
(*.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (/.f64 (sin.f64 (+.f64 x x)) -2) -1)
(neg.f64 (/.f64 (sin.f64 (+.f64 x x)) -2))
(/.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))) 2)
(+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 0)
(*.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))) 2)
(+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 0)
(*.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2)))))) 4)
(+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 0)
(*.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x)))) 4)
(+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 0)
(*.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2)))))) (.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))))) (-.f64 4 (*.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 0)
(*.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x)))) (.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))))) (-.f64 4 (*.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 0)
(*.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (+.f64 (+.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2)))))) (+.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))))) 8)
(+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 0)
(*.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (+.f64 (+.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x)))) (+.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))))) 8)
(+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 0)
(*.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (+.f64 (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2)))))) (.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))))) (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2)))))) (.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2)))))))) (+.f64 (-.f64 4 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2))))))) (-.f64 4 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (-.f64 x (/.f64 (PI.f64) 2)))))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 0)
(*.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (+.f64 (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x)))) (.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))))) (-.f64 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x)))) (.f64 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))) (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x)))))) (+.f64 (-.f64 4 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x))))) (-.f64 4 (.f64 2 (+.f64 (cos.f64 (+.f64 0 (/.f64 (PI.f64) 2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) x)))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 0)
(*.f64 (cos.f64 x) (sin.f64 x))
(neg.f64 (/.f64 (sin.f64 (+.f64 x x)) -2))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x))) (sin.f64 x))
✓	0.2b	(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
	1.2b	(+.f64 (cos.f64 x) -1)
	1.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 78 to 51 computations (34.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`rational_best-simplify-96`
946×	`rational_best-simplify-65`
922×	`rational_best-simplify-61`
566×	`rational_best-simplify-3`
564×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	86
1	71	86
2	438	86
3	3020	86

Stop Event

1×	node limit

Counts

2 → 0

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x))) (sin.f64 x))

Outputs
()
()

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1010×	`rational_best-simplify-1`
764×	`rational_best-simplify-18`
756×	`rational_best-simplify-20`
452×	`rational_best-simplify-126`
450×	`rational_best-simplify-127`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	804
1	207	798
2	1092	698
3	7006	698

Stop Event

1×	node limit

Counts

24 → 25

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 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) x)
(+.f64 (/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) x) (.f64 1/6 (.f64 x (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(+.f64 (/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) x) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 1/120 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (pow.f64 x 3))) (.f64 1/6 (.f64 x (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(+.f64 (/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) x) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 -1/36 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 1/120 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (+.f64 (.f64 1/720 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 -1/5040 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (pow.f64 x 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 1/120 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (pow.f64 x 3))) (.f64 1/6 (*.f64 x (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/720 (pow.f64 x 6)) (-.f64 (.f64 (pow.f64 x 2) -1/2) (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 8)) (+.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 1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.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 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) x) (.f64 1/6 (.f64 x (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x (.f64 1/6 (-.f64 1 (cos.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x (-.f64 1/6 (.f64 1/6 (cos.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x -1/6)))
(+.f64 (/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) x) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 1/120 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (pow.f64 x 3))) (.f64 1/6 (.f64 x (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (.f64 x (.f64 1/6 (-.f64 1 (cos.f64 x)))) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) -1/36) (.f64 (-.f64 1 (cos.f64 x)) 1/120)) (.f64 -1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x (-.f64 1/6 (.f64 1/6 (cos.f64 x))))) (neg.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/36) (*.f64 (+.f64 (cos.f64 x) -1) -1/120)) (pow.f64 x 3))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 x -1/6)) (.f64 (pow.f64 x 3) (.f64 (-.f64 1 (cos.f64 x)) 7/360))))
(+.f64 (/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) x) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 -1/36 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 1/120 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (+.f64 (.f64 1/720 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 -1/5040 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (pow.f64 x 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 1/120 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (pow.f64 x 3))) (.f64 1/6 (*.f64 x (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) -1/36) (.f64 (-.f64 1 (cos.f64 x)) 1/120)) (.f64 -1 (pow.f64 x 3))) (+.f64 (.f64 x (.f64 1/6 (-.f64 1 (cos.f64 x)))) (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) -1/36) (.f64 (-.f64 1 (cos.f64 x)) 1/120))) (+.f64 (.f64 1/720 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) -1/5040))) (*.f64 -1 (pow.f64 x 5))))))
(+.f64 (.f64 x (-.f64 1/6 (.f64 1/6 (cos.f64 x)))) (+.f64 (+.f64 (neg.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/36) (.f64 (+.f64 (cos.f64 x) -1) -1/120)) (pow.f64 x 3))) (neg.f64 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/36) (.f64 (+.f64 (cos.f64 x) -1) -1/120))) (+.f64 (.f64 1/720 (-.f64 1 (cos.f64 x))) (-.f64 -1/5040 (*.f64 -1/5040 (cos.f64 x))))) (pow.f64 x 5)))) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (+.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 x -1/6)) (.f64 (pow.f64 x 3) (.f64 (-.f64 1 (cos.f64 x)) 7/360))) (.f64 (pow.f64 x 5) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) -7/360) -1/6) (.f64 (-.f64 1 (cos.f64 x)) -1/840)))))
(/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (if (!=.f64 (-.f64 (cos.f64 x) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
	0.2b	(*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))
✓	0.3b	(pow.f64 (cos.f64 x) 2)
	1.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 130 to 65 computations (50% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`rational_best-simplify-96`
1054×	`rational_best-simplify-61`
1042×	`rational_best-simplify-65`
754×	`rational_best-simplify-3`
620×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	102
1	71	102
2	429	102
3	2959	102

Stop Event

1×	node limit

Counts

2 → 0

Calls

Call 1

Inputs

(pow.f64 (cos.f64 x) 2)

(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))

Outputs
()
()

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

916×	`rational_best-simplify-52`
874×	`rational_best-simplify-1`
638×	`rational_best-simplify-21`
634×	`rational_best-simplify-18`
616×	`rational_best-simplify-20`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	978
1	182	966
2	942	846
3	6421	846

Stop Event

1×	node limit

Counts

16 → 28

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)
(+.f64 (.f64 2/3 (.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)) (/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2/15 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 -4/9 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (.f64 2/3 (.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)) (/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 4/45 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (+.f64 (.f64 2/3 (+.f64 (.f64 2/15 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 -4/9 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 -4/315 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (pow.f64 x 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2/15 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 -4/9 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (.f64 2/3 (.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)) (/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x))))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))

Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 4)) 1))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 4)) (*.f64 -2/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 1/3 (pow.f64 x 4)) (+.f64 (neg.f64 (pow.f64 x 2)) (.f64 -2/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 1/3 (pow.f64 x 4)) (-.f64 (.f64 -2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x)
(+.f64 (.f64 2/3 (.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)) (/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x))
(+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 2/3 x)))
(+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (.f64 x (.f64 2/3 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))
(+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (.f64 x (.f64 (cos.f64 x) (.f64 2/3 (-.f64 1 (cos.f64 x))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2/15 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 -4/9 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (.f64 2/3 (.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)) (/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) x)))
(+.f64 (+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 2/3 x))) (.f64 -1 (.f64 (+.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 2/15) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) -4/9)) (pow.f64 x 3))))
(+.f64 (.f64 x (.f64 2/3 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (neg.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 2/15 (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 -4/9 (cos.f64 x)))) (pow.f64 x 3)))))
(+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (+.f64 (.f64 x (.f64 (cos.f64 x) (.f64 2/3 (-.f64 1 (cos.f64 x))))) (.f64 (pow.f64 x 3) (.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 14/45))))
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(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 2/15) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) -4/9)) (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 2/3 x))) (.f64 -1 (.f64 (+.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 4/45) (+.f64 (.f64 2/3 (+.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 2/15) (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) -4/9))) (.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) -4/315))) (pow.f64 x 5)))))
(+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (+.f64 (+.f64 (.f64 x (.f64 2/3 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (neg.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 2/15 (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 -4/9 (cos.f64 x)))) (pow.f64 x 3)))) (neg.f64 (.f64 (+.f64 (.f64 2/3 (+.f64 (.f64 (cos.f64 x) (.f64 2/15 (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 -4/9 (cos.f64 x))))) (+.f64 (.f64 (cos.f64 x) (.f64 4/45 (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 -4/315 (cos.f64 x))))) (pow.f64 x 5)))))
(+.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) x) (+.f64 (.f64 (pow.f64 x 5) (-.f64 (.f64 2/3 (.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 14/45)) (+.f64 (.f64 (cos.f64 x) (-.f64 4/45 (.f64 (cos.f64 x) 4/45))) (.f64 (cos.f64 x) (-.f64 -4/315 (.f64 (cos.f64 x) -4/315)))))) (+.f64 (.f64 x (.f64 (cos.f64 x) (.f64 2/3 (-.f64 1 (cos.f64 x))))) (.f64 (pow.f64 x 3) (.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) 14/45)))))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))

localize69.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(cos.f64 (*.f64 x 2))
✓	0.4b	(-.f64 -1 (cos.f64 (*.f64 x 2)))
	0.6b	(+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2))
	1.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 174 to 127 computations (27% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1196×	`rational_best-simplify-3`
788×	`rational_best-simplify-53`
690×	`rational_best-simplify-1`
474×	`rational_best-simplify-21`
474×	`rational_best-simplify-20`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	35	17
2	150	17
3	859	17
4	5723	17

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (cos.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (cos.f64 (*.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 -1 (cos.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 (*.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (cos.f64 (*.f64 x 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (cos.f64 (*.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 (*.f64 x 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -1 (cos.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (cos.f64 (*.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (*.f64 x 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (cos.f64 (*.f64 x 2))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 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simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1496×	`rational_best-simplify-61`
1108×	`rational_best-simplify-3`
784×	`rational_best-simplify-1`
686×	`rational_best-simplify-53`
614×	`rational_best-simplify-56`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	2068
1	685	1956
2	4268	1824

Stop Event

1×	node limit

Counts

50 → 63

Calls

Call 1

Inputs
-2
(-.f64 (*.f64 2 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2/3 (pow.f64 x 4))) 2)
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(.f64 -1 (+.f64 (cos.f64 (.f64 2 x)) 1))
(.f64 -1 (+.f64 (cos.f64 (.f64 2 x)) 1))
(.f64 -1 (+.f64 (cos.f64 (.f64 2 x)) 1))
(.f64 -1 (+.f64 (cos.f64 (.f64 2 x)) 1))
(.f64 -1 (+.f64 (cos.f64 (.f64 2 x)) 1))
(.f64 -1 (+.f64 (cos.f64 (.f64 2 x)) 1))
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(if (!=.f64 (+.f64 (cos.f64 (.f64 x 2)) 1) 0) (/.f64 (.f64 (+.f64 (cos.f64 (.f64 x 2)) 1) (+.f64 (cos.f64 (.f64 x 2)) 1)) (-.f64 -1 (cos.f64 (.f64 x 2)))) (-.f64 -1 (cos.f64 (.f64 x 2))))
(if (!=.f64 0 0) (/.f64 0 0) (-.f64 -1 (cos.f64 (*.f64 x 2))))

Outputs
-2
(-.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) -2)
(+.f64 -2 (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2/3 (pow.f64 x 4))) 2)
(+.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2/3 (pow.f64 x 4))) -2)
(+.f64 -2 (-.f64 (.f64 -2/3 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -2)))
(+.f64 -2 (-.f64 (.f64 -2/3 (pow.f64 x 4)) (.f64 -2 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2/3 (pow.f64 x 4)) (*.f64 4/45 (pow.f64 x 6)))) 2)
(+.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2/3 (pow.f64 x 4)) (*.f64 4/45 (pow.f64 x 6)))) -2)
(+.f64 -2 (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2/3 (pow.f64 x 4)) (*.f64 4/45 (pow.f64 x 6)))))
(-.f64 -2 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) -4/45))))
(.f64 -1 (+.f64 (cos.f64 (.f64 2 x)) 1))
(neg.f64 (+.f64 1 (cos.f64 (*.f64 2 x))))
(-.f64 -1 (cos.f64 (*.f64 2 x)))
(.f64 -1 (+.f64 (cos.f64 (.f64 2 x)) 1))
(neg.f64 (+.f64 1 (cos.f64 (*.f64 2 x))))
(-.f64 -1 (cos.f64 (*.f64 2 x)))
(.f64 -1 (+.f64 (cos.f64 (.f64 2 x)) 1))
(neg.f64 (+.f64 1 (cos.f64 (*.f64 2 x))))
(-.f64 -1 (cos.f64 (*.f64 2 x)))
(.f64 -1 (+.f64 (cos.f64 (.f64 2 x)) 1))
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(-.f64 -1 (cos.f64 (*.f64 2 x)))
(.f64 -1 (+.f64 (cos.f64 (.f64 2 x)) 1))
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(-.f64 -1 (cos.f64 (*.f64 2 x)))
(.f64 -1 (+.f64 (cos.f64 (.f64 2 x)) 1))
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(-.f64 -1 (cos.f64 (*.f64 2 x)))
(.f64 -1 (+.f64 (cos.f64 (.f64 2 x)) 1))
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(-.f64 -1 (cos.f64 (*.f64 2 x)))
(.f64 -1 (+.f64 (cos.f64 (.f64 2 x)) 1))
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(-.f64 -1 (cos.f64 (*.f64 2 x)))
(+.f64 -1 (neg.f64 (cos.f64 (*.f64 x 2))))
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(+.f64 (-.f64 -1 (cos.f64 (*.f64 x 2))) 0)
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(-.f64 -1 (cos.f64 (*.f64 2 x)))
(.f64 (+.f64 (cos.f64 (.f64 x 2)) 1) -1)
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(-.f64 -1 (cos.f64 (*.f64 2 x)))
(.f64 1 (-.f64 -1 (cos.f64 (.f64 x 2))))
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(/.f64 (.f64 (+.f64 (cos.f64 (.f64 x 2)) 1) -2) 2)
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(/.f64 (+.f64 (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (+.f64 2 (cos.f64 (.f64 2 x))))) (.f64 (+.f64 1 (cos.f64 (.f64 2 x))) (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (+.f64 2 (cos.f64 (.f64 2 x))))))) (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (+.f64 2 (cos.f64 (*.f64 2 x))))))
(/.f64 (+.f64 (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (+.f64 2 (cos.f64 (.f64 2 x))))) (.f64 (+.f64 1 (cos.f64 (.f64 2 x))) (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (+.f64 2 (cos.f64 (.f64 2 x))))))) (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (+.f64 2 (cos.f64 (*.f64 2 x))))))
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(/.f64 (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (+.f64 2 (cos.f64 (.f64 2 x)))) (+.f64 2 (cos.f64 (.f64 2 x))))
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(/.f64 (+.f64 2 (.f64 (cos.f64 (.f64 2 x)) 2)) -2)
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2)))) (+.f64 2 (cos.f64 (.f64 x 2)))) (.f64 (.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2)))) (.f64 (+.f64 (cos.f64 (.f64 x 2)) 1) (+.f64 2 (cos.f64 (.f64 x 2)))))) (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2)))))) (.f64 (+.f64 (.f64 (.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2)))) (+.f64 2 (cos.f64 (.f64 x 2)))) (.f64 (.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2)))) (.f64 (+.f64 (cos.f64 (.f64 x 2)) 1) (+.f64 2 (cos.f64 (.f64 x 2)))))) (+.f64 (.f64 (.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2)))) (+.f64 2 (cos.f64 (.f64 x 2)))) (.f64 (.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2)))) (.f64 (+.f64 (cos.f64 (.f64 x 2)) 1) (+.f64 2 (cos.f64 (.f64 x 2)))))))) (-.f64 (.f64 (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2)))))) (.f64 (+.f64 (.f64 (.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2)))) (+.f64 2 (cos.f64 (.f64 x 2)))) (.f64 (.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2)))) (.f64 (+.f64 (cos.f64 (.f64 x 2)) 1) (+.f64 2 (cos.f64 (.f64 x 2)))))) (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (.f64 (+.f64 2 (cos.f64 (.f64 x 2))) (+.f64 2 (cos.f64 (.f64 x 2))))))))
(/.f64 (+.f64 (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (+.f64 2 (cos.f64 (.f64 2 x))))) (.f64 (+.f64 1 (cos.f64 (.f64 2 x))) (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (+.f64 2 (cos.f64 (.f64 2 x))))))) (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (+.f64 2 (cos.f64 (*.f64 2 x))))))
(/.f64 (+.f64 (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (+.f64 2 (cos.f64 (.f64 2 x))))) (.f64 (+.f64 1 (cos.f64 (.f64 2 x))) (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (+.f64 2 (cos.f64 (.f64 2 x))))))) (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (+.f64 2 (cos.f64 (*.f64 2 x))))))
(/.f64 (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 2 x))) (-.f64 -2 (cos.f64 (.f64 2 x)))) (+.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (-.f64 -2 (cos.f64 (.f64 2 x)))))) (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (.f64 (+.f64 2 (cos.f64 (.f64 2 x))) (+.f64 2 (cos.f64 (*.f64 2 x))))))
(pow.f64 (-.f64 -1 (cos.f64 (*.f64 x 2))) 1)
(neg.f64 (+.f64 1 (cos.f64 (*.f64 2 x))))
(-.f64 -1 (cos.f64 (*.f64 2 x)))
(neg.f64 (+.f64 (cos.f64 (*.f64 x 2)) 1))
(neg.f64 (+.f64 1 (cos.f64 (*.f64 2 x))))
(-.f64 -1 (cos.f64 (*.f64 2 x)))
(if (!=.f64 (+.f64 -1 (cos.f64 (.f64 x 2))) 0) (/.f64 (+.f64 -1 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2)) (-.f64 1 (cos.f64 (.f64 x 2)))) (-.f64 -1 (cos.f64 (.f64 x 2))))
(if (!=.f64 (+.f64 -1 (cos.f64 (.f64 2 x))) 0) (/.f64 (+.f64 -1 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2)) (-.f64 1 (cos.f64 (.f64 2 x)))) (-.f64 -1 (cos.f64 (.f64 2 x))))
(if (!=.f64 (cos.f64 (.f64 x 2)) 0) (/.f64 (.f64 (cos.f64 (.f64 x 2)) (-.f64 -1 (cos.f64 (.f64 x 2)))) (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))
(neg.f64 (+.f64 1 (cos.f64 (*.f64 2 x))))
(-.f64 -1 (cos.f64 (*.f64 2 x)))
(if (!=.f64 -1 0) (-.f64 -1 (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))
(neg.f64 (+.f64 1 (cos.f64 (*.f64 2 x))))
(-.f64 -1 (cos.f64 (*.f64 2 x)))
(if (!=.f64 (-.f64 1 (cos.f64 (.f64 x 2))) 0) (/.f64 (+.f64 -1 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2)) (-.f64 1 (cos.f64 (.f64 x 2)))) (-.f64 -1 (cos.f64 (.f64 x 2))))
(if (!=.f64 (-.f64 1 (cos.f64 (.f64 2 x))) 0) (/.f64 (+.f64 -1 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2)) (-.f64 1 (cos.f64 (.f64 2 x)))) (-.f64 -1 (cos.f64 (.f64 2 x))))
(if (!=.f64 (neg.f64 (cos.f64 (.f64 x 2))) 0) (/.f64 (.f64 (cos.f64 (.f64 x 2)) (-.f64 -1 (cos.f64 (.f64 x 2)))) (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))
(neg.f64 (+.f64 1 (cos.f64 (*.f64 2 x))))
(-.f64 -1 (cos.f64 (*.f64 2 x)))
(if (!=.f64 1 0) (-.f64 -1 (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))
(neg.f64 (+.f64 1 (cos.f64 (*.f64 2 x))))
(-.f64 -1 (cos.f64 (*.f64 2 x)))
(if (!=.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) 0) (/.f64 (.f64 (+.f64 (cos.f64 (.f64 x 2)) 1) (+.f64 (cos.f64 (.f64 x 2)) 1)) (-.f64 -1 (cos.f64 (.f64 x 2)))) (-.f64 -1 (cos.f64 (.f64 x 2))))
(neg.f64 (+.f64 1 (cos.f64 (*.f64 2 x))))
(-.f64 -1 (cos.f64 (*.f64 2 x)))
(if (!=.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) 0) (/.f64 (.f64 (+.f64 (cos.f64 (.f64 x 2)) 1) (+.f64 (cos.f64 (.f64 x 2)) 1)) (-.f64 -1 (cos.f64 (*.f64 x 2)))) 0)
(neg.f64 (+.f64 1 (cos.f64 (*.f64 2 x))))
(-.f64 -1 (cos.f64 (*.f64 2 x)))
(if (!=.f64 (+.f64 (cos.f64 (.f64 x 2)) 1) 0) (/.f64 (.f64 (+.f64 (cos.f64 (.f64 x 2)) 1) (+.f64 (cos.f64 (.f64 x 2)) 1)) (-.f64 -1 (cos.f64 (.f64 x 2)))) (-.f64 -1 (cos.f64 (.f64 x 2))))
(neg.f64 (+.f64 1 (cos.f64 (*.f64 2 x))))
(-.f64 -1 (cos.f64 (*.f64 2 x)))
(if (!=.f64 0 0) (/.f64 0 0) (-.f64 -1 (cos.f64 (*.f64 x 2))))
(neg.f64 (+.f64 1 (cos.f64 (*.f64 2 x))))
(-.f64 -1 (cos.f64 (*.f64 2 x)))

localize141.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(+.f64 1 (cos.f64 (*.f64 x 2)))
	1.2b	(-.f64 1 (cos.f64 x))
✓	1.4b	(-.f64 4 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))))
✓	1.5b	(+.f64 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (*.f64 x 2)))))

Compiler

Compiled 400 to 311 computations (22.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`rational_best-simplify-113`
776×	`rational_best-simplify-111`
712×	`rational_best-simplify-96`
678×	`rational_best-simplify-61`
658×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	121
1	73	121
2	349	121
3	2068	121

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs

(+.f64 (*.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (*.f64 x 2))))) (*.f64 (+.f64 1 (cos.f64 (*.f64 x 2))) (-.f64 -1 (cos.f64 (*.f64 x 2)))))

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

(+.f64 1 (cos.f64 (*.f64 x 2)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (*.f64 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 4 (*.f64 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x)))) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x)))) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 4 (*.f64 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x))))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x)))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x))))) -4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4 (*.f64 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x)))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (fabs.f64 (-.f64 -1 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simplify126.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

802×	`rational_best-simplify-18`
480×	`rational_best-simplify-124`
478×	`rational_best-simplify-126`
478×	`rational_best-simplify-127`
444×	`rational_best-simplify-65`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	240	6558
1	1208	6218
2	7829	6218

Stop Event

1×	node limit

Counts

110 → 140

Calls

Call 1

Inputs
(-.f64 (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))) 4)
(-.f64 (+.f64 (.f64 8 (pow.f64 x 2)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (*.f64 2 x)) 1)))) 4)
(-.f64 (+.f64 (.f64 -20/3 (pow.f64 x 4)) (+.f64 (.f64 8 (pow.f64 x 2)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))) 4)
(-.f64 (+.f64 (.f64 -20/3 (pow.f64 x 4)) (+.f64 (.f64 8 (pow.f64 x 2)) (+.f64 (.f64 136/45 (pow.f64 x 6)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (*.f64 2 x)) 1)))))) 4)
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(-.f64 4 (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(-.f64 4 (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(-.f64 4 (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(-.f64 4 (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(-.f64 4 (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(-.f64 4 (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(-.f64 4 (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(-.f64 4 (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(-.f64 4 (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(-.f64 4 (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(-.f64 4 (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(-.f64 4 (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
2
(+.f64 (*.f64 -2 (pow.f64 x 2)) 2)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 2))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 2 (*.f64 -4/45 (pow.f64 x 6)))))
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(-.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (*.f64 2 x)) 2))))
(-.f64 (.f64 (+.f64 1 (cos.f64 (.f64 2 x))) (-.f64 -1 (cos.f64 (.f64 2 x)))) (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x)))) -2))
(-.f64 0 (+.f64 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2) (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (*.f64 2 x)) 2)))))
(-.f64 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (.f64 (cos.f64 (.f64 2 x)) (-.f64 -1 (cos.f64 (.f64 2 x))))) (+.f64 1 (cos.f64 (.f64 2 x))))
(-.f64 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (-.f64 -1 (cos.f64 (.f64 2 x)))) (.f64 (cos.f64 (.f64 2 x)) (+.f64 1 (cos.f64 (.f64 2 x)))))
(.f64 -1 (+.f64 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2) (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2)))))
(.f64 (+.f64 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2) (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2)))) -1)
(/.f64 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (.f64 (+.f64 1 (cos.f64 (.f64 2 x))) (-.f64 -1 (cos.f64 (*.f64 2 x))))) 1)
(/.f64 (+.f64 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2) (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (*.f64 2 x)) 2)))) -1)
(/.f64 (+.f64 (+.f64 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2) (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2)))) (+.f64 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2) (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2))))) -2)
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(if (!=.f64 (-.f64 (.f64 (+.f64 1 (cos.f64 (.f64 2 x))) (-.f64 -1 (cos.f64 (.f64 2 x)))) (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))))) 0) (/.f64 (+.f64 (.f64 -2 (.f64 2 (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 2 x))) (.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2))) (+.f64 1 (cos.f64 (.f64 2 x)))))) (-.f64 (.f64 (+.f64 1 (cos.f64 (.f64 2 x))) (-.f64 -1 (cos.f64 (.f64 2 x)))) (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))))) (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (.f64 (+.f64 1 (cos.f64 (.f64 2 x))) (-.f64 -1 (cos.f64 (*.f64 2 x))))))
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(+.f64 0 (+.f64 4 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2)))
(.f64 -1 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x))))) -4))
(.f64 (+.f64 4 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x)))) -2)) 1)
(.f64 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x))))) -4) -1)
(/.f64 (+.f64 4 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2)) 1)
(/.f64 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4) -1)
(/.f64 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (+.f64 -4 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4))) -2)
(/.f64 (.f64 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4) (-.f64 -1 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4))) (+.f64 1 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x))))) -4)))
(/.f64 (+.f64 (+.f64 4 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2)) (+.f64 4 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2))) 2)
(/.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (+.f64 -4 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4))) (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (+.f64 -4 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4)))) -4)
(/.f64 (+.f64 (.f64 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4) (-.f64 -1 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4))) (.f64 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4) (-.f64 -1 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4)))) (+.f64 (+.f64 1 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4)) (+.f64 1 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4))))
(pow.f64 (+.f64 4 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2)) 1)
(neg.f64 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4))
(if (!=.f64 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) 4) 0) (/.f64 (+.f64 16 (.f64 -2 (.f64 2 (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2)))))) (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) 4)) (+.f64 4 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x)))) -2)))
(if (!=.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) 0) (/.f64 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) (-.f64 8 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) 4))) (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))))) (+.f64 4 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2)))
(if (!=.f64 4 0) (/.f64 (+.f64 16 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -8)) 4) (+.f64 4 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2)))
(if (!=.f64 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2) 0) (/.f64 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) (-.f64 8 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) 4))) (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))))) (+.f64 4 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2)))
(if (!=.f64 (+.f64 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2) -4) 0) (/.f64 (+.f64 16 (.f64 -2 (.f64 2 (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2)))))) (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) 4)) (+.f64 4 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x)))) -2)))
(if (!=.f64 -4 0) (/.f64 (+.f64 16 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -8)) 4) (+.f64 4 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2)))
(if (!=.f64 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4) 0) (/.f64 (.f64 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4) (+.f64 4 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))) -2))) (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4)) (+.f64 4 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x)))) -2)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4) 0)) 0) (+.f64 4 (.f64 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x)))) -2)))
(-.f64 1 (neg.f64 (cos.f64 (*.f64 2 x))))
(-.f64 (cos.f64 (*.f64 2 x)) -1)
(-.f64 (+.f64 1 (cos.f64 (*.f64 2 x))) 0)
(-.f64 0 (-.f64 -1 (cos.f64 (*.f64 2 x))))
(.f64 1 (+.f64 1 (cos.f64 (.f64 2 x))))
(.f64 (+.f64 1 (cos.f64 (.f64 2 x))) 1)
(.f64 -1 (-.f64 -1 (cos.f64 (.f64 2 x))))
(.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) -1)
(/.f64 (+.f64 1 (cos.f64 (*.f64 2 x))) 1)
(/.f64 (-.f64 -1 (cos.f64 (*.f64 2 x))) -1)
(/.f64 (.f64 (cos.f64 (.f64 2 x)) (+.f64 1 (cos.f64 (.f64 2 x)))) (cos.f64 (.f64 2 x)))
(/.f64 (.f64 (cos.f64 (.f64 2 x)) (-.f64 -1 (cos.f64 (.f64 2 x)))) (neg.f64 (cos.f64 (.f64 2 x))))
(/.f64 (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (.f64 (cos.f64 (.f64 2 x)) 2)) (-.f64 (neg.f64 (cos.f64 (.f64 2 x))) (cos.f64 (.f64 2 x))))
(/.f64 (.f64 (+.f64 1 (cos.f64 (.f64 2 x))) 2) 2)
(/.f64 (+.f64 (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (.f64 (cos.f64 (.f64 2 x)) 2)) (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (.f64 (cos.f64 (.f64 2 x)) 2))) (+.f64 (-.f64 (neg.f64 (cos.f64 (.f64 2 x))) (cos.f64 (.f64 2 x))) (-.f64 (neg.f64 (cos.f64 (.f64 2 x))) (cos.f64 (.f64 2 x)))))
(/.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2) (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2))) (.f64 (cos.f64 (.f64 2 x)) 2))
(/.f64 (+.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (-.f64 -1 (cos.f64 (.f64 2 x)))) -2)
(/.f64 (+.f64 (.f64 (+.f64 1 (cos.f64 (.f64 2 x))) 2) (.f64 (+.f64 1 (cos.f64 (.f64 2 x))) 2)) 4)
(/.f64 (.f64 (cos.f64 (.f64 2 x)) (-.f64 (.f64 (cos.f64 (.f64 2 x)) (+.f64 1 (cos.f64 (.f64 2 x)))) (.f64 (cos.f64 (.f64 2 x)) (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2)))))) (.f64 (cos.f64 (.f64 2 x)) (-.f64 (cos.f64 (.f64 2 x)) (.f64 (cos.f64 (.f64 2 x)) (+.f64 1 (cos.f64 (.f64 2 x)))))))
(/.f64 (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (-.f64 -1 (-.f64 -1 (cos.f64 (.f64 2 x))))) (+.f64 1 (-.f64 -1 (cos.f64 (.f64 2 x)))))
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2) (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2))) (+.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2) (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2)))) (+.f64 (.f64 (cos.f64 (.f64 2 x)) 2) (.f64 (cos.f64 (.f64 2 x)) 2)))
(/.f64 (+.f64 (+.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (-.f64 -1 (cos.f64 (.f64 2 x)))) (+.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (-.f64 -1 (cos.f64 (.f64 2 x))))) -4)
(/.f64 (+.f64 (.f64 (cos.f64 (.f64 2 x)) (-.f64 (.f64 (cos.f64 (.f64 2 x)) (+.f64 1 (cos.f64 (.f64 2 x)))) (.f64 (cos.f64 (.f64 2 x)) (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2)))))) (.f64 (cos.f64 (.f64 2 x)) (-.f64 (.f64 (cos.f64 (.f64 2 x)) (+.f64 1 (cos.f64 (.f64 2 x)))) (.f64 (cos.f64 (.f64 2 x)) (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2))))))) (+.f64 (.f64 (cos.f64 (.f64 2 x)) (-.f64 (cos.f64 (.f64 2 x)) (.f64 (cos.f64 (.f64 2 x)) (+.f64 1 (cos.f64 (.f64 2 x)))))) (.f64 (cos.f64 (.f64 2 x)) (-.f64 (cos.f64 (.f64 2 x)) (.f64 (cos.f64 (.f64 2 x)) (+.f64 1 (cos.f64 (.f64 2 x))))))))
(/.f64 (+.f64 (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (-.f64 -1 (-.f64 -1 (cos.f64 (.f64 2 x))))) (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (-.f64 -1 (-.f64 -1 (cos.f64 (.f64 2 x)))))) (+.f64 (+.f64 1 (-.f64 -1 (cos.f64 (.f64 2 x)))) (+.f64 1 (-.f64 -1 (cos.f64 (.f64 2 x))))))
(/.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 x))) (cos.f64 (.f64 2 x))) (/.f64 1 (cos.f64 (*.f64 2 x))))
(pow.f64 (+.f64 1 (cos.f64 (*.f64 2 x))) 1)
(neg.f64 (-.f64 -1 (cos.f64 (*.f64 2 x))))
(if (!=.f64 (+.f64 (cos.f64 (.f64 2 x)) -1) 0) (/.f64 (-.f64 1 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2)) (-.f64 1 (cos.f64 (.f64 2 x)))) (+.f64 1 (cos.f64 (.f64 2 x))))
(if (!=.f64 (cos.f64 (.f64 2 x)) 0) (+.f64 1 (cos.f64 (.f64 2 x))) (+.f64 1 (cos.f64 (*.f64 2 x))))
(if (!=.f64 -1 0) (+.f64 1 (cos.f64 (.f64 2 x))) (+.f64 1 (cos.f64 (.f64 2 x))))
(if (!=.f64 (-.f64 1 (cos.f64 (.f64 2 x))) 0) (/.f64 (-.f64 1 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2)) (-.f64 1 (cos.f64 (.f64 2 x)))) (+.f64 1 (cos.f64 (.f64 2 x))))
(if (!=.f64 (neg.f64 (cos.f64 (.f64 2 x))) 0) (+.f64 1 (cos.f64 (.f64 2 x))) (+.f64 1 (cos.f64 (*.f64 2 x))))
(if (!=.f64 1 0) (+.f64 1 (cos.f64 (.f64 2 x))) (+.f64 1 (cos.f64 (.f64 2 x))))

Outputs
(-.f64 (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))) 4)
(+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) -4)
(-.f64 (+.f64 (.f64 8 (pow.f64 x 2)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (*.f64 2 x)) 1)))) 4)
(+.f64 (+.f64 (.f64 8 (pow.f64 x 2)) (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (*.f64 2 x)))))) -4)
(-.f64 (+.f64 (.f64 -20/3 (pow.f64 x 4)) (+.f64 (.f64 8 (pow.f64 x 2)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))) 4)
(+.f64 (+.f64 (.f64 8 (pow.f64 x 2)) (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (.f64 -20/3 (pow.f64 x 4)))) -4)
(+.f64 (+.f64 (+.f64 (.f64 8 (pow.f64 x 2)) (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))))) (.f64 -20/3 (pow.f64 x 4))) -4)
(-.f64 (+.f64 (.f64 -20/3 (pow.f64 x 4)) (+.f64 (.f64 8 (pow.f64 x 2)) (+.f64 (.f64 136/45 (pow.f64 x 6)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (*.f64 2 x)) 1)))))) 4)
(+.f64 (+.f64 (.f64 -20/3 (pow.f64 x 4)) (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (+.f64 (.f64 8 (pow.f64 x 2)) (*.f64 136/45 (pow.f64 x 6))))) -4)
(+.f64 (+.f64 (+.f64 (.f64 8 (pow.f64 x 2)) (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))))) (+.f64 (.f64 -20/3 (pow.f64 x 4)) (*.f64 136/45 (pow.f64 x 6)))) -4)
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))))
(-.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (pow.f64 (+.f64 (cos.f64 (*.f64 2 x)) 1) 2))
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))))
(-.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (pow.f64 (+.f64 (cos.f64 (*.f64 2 x)) 1) 2))
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))))
(-.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (pow.f64 (+.f64 (cos.f64 (*.f64 2 x)) 1) 2))
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))))
(-.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (pow.f64 (+.f64 (cos.f64 (*.f64 2 x)) 1) 2))
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (+.f64 (cos.f64 (.f64 2 x)) 1))))
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))))
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(/.f64 (/.f64 (.f64 (cos.f64 (.f64 2 x)) (-.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 2 (cos.f64 (.f64 2 x))))))) (cos.f64 (.f64 2 x))) (/.f64 (-.f64 (cos.f64 (.f64 2 x)) (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 1))) (cos.f64 (.f64 2 x))))
(/.f64 (.f64 (cos.f64 (.f64 2 x)) (.f64 (cos.f64 (.f64 2 x)) (-.f64 (cos.f64 (.f64 2 x)) (.f64 (cos.f64 (.f64 2 x)) (+.f64 2 (cos.f64 (.f64 2 x))))))) (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) (.f64 (cos.f64 (.f64 2 x)) (-.f64 -1 (cos.f64 (.f64 2 x)))))))
(/.f64 (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (-.f64 -1 (-.f64 -1 (cos.f64 (.f64 2 x))))) (+.f64 1 (-.f64 -1 (cos.f64 (.f64 2 x)))))
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2) (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2))) (+.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2) (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2)))) (+.f64 (.f64 (cos.f64 (.f64 2 x)) 2) (.f64 (cos.f64 (.f64 2 x)) 2)))
(/.f64 (+.f64 (.f64 (cos.f64 (.f64 2 x)) (+.f64 2 (cos.f64 (.f64 2 x)))) (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2)) (.f64 2 (cos.f64 (.f64 2 x))))
(/.f64 (+.f64 (+.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (-.f64 -1 (cos.f64 (.f64 2 x)))) (+.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (-.f64 -1 (cos.f64 (.f64 2 x))))) -4)
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(/.f64 (+.f64 (.f64 (cos.f64 (.f64 2 x)) (-.f64 (.f64 (cos.f64 (.f64 2 x)) (+.f64 1 (cos.f64 (.f64 2 x)))) (.f64 (cos.f64 (.f64 2 x)) (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2)))))) (.f64 (cos.f64 (.f64 2 x)) (-.f64 (.f64 (cos.f64 (.f64 2 x)) (+.f64 1 (cos.f64 (.f64 2 x)))) (.f64 (cos.f64 (.f64 2 x)) (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 2))))))) (+.f64 (.f64 (cos.f64 (.f64 2 x)) (-.f64 (cos.f64 (.f64 2 x)) (.f64 (cos.f64 (.f64 2 x)) (+.f64 1 (cos.f64 (.f64 2 x)))))) (.f64 (cos.f64 (.f64 2 x)) (-.f64 (cos.f64 (.f64 2 x)) (.f64 (cos.f64 (.f64 2 x)) (+.f64 1 (cos.f64 (.f64 2 x))))))))
(/.f64 (/.f64 (.f64 (cos.f64 (.f64 2 x)) (-.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 2 (cos.f64 (.f64 2 x))))))) (cos.f64 (.f64 2 x))) (/.f64 (-.f64 (cos.f64 (.f64 2 x)) (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 1))) (cos.f64 (.f64 2 x))))
(/.f64 (.f64 (cos.f64 (.f64 2 x)) (.f64 (cos.f64 (.f64 2 x)) (-.f64 (cos.f64 (.f64 2 x)) (.f64 (cos.f64 (.f64 2 x)) (+.f64 2 (cos.f64 (.f64 2 x))))))) (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) (.f64 (cos.f64 (.f64 2 x)) (-.f64 -1 (cos.f64 (.f64 2 x)))))))
(/.f64 (+.f64 (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (-.f64 -1 (-.f64 -1 (cos.f64 (.f64 2 x))))) (.f64 (-.f64 -1 (cos.f64 (.f64 2 x))) (-.f64 -1 (-.f64 -1 (cos.f64 (.f64 2 x)))))) (+.f64 (+.f64 1 (-.f64 -1 (cos.f64 (.f64 2 x)))) (+.f64 1 (-.f64 -1 (cos.f64 (.f64 2 x))))))
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(/.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 x))) (cos.f64 (.f64 2 x))) (/.f64 1 (cos.f64 (*.f64 2 x))))
(/.f64 (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 1)) (.f64 (cos.f64 (*.f64 2 x)) 1))
(pow.f64 (+.f64 1 (cos.f64 (*.f64 2 x))) 1)
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(neg.f64 (-.f64 -1 (cos.f64 (*.f64 2 x))))
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(if (!=.f64 (+.f64 (cos.f64 (.f64 2 x)) -1) 0) (/.f64 (-.f64 1 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2)) (-.f64 1 (cos.f64 (.f64 2 x)))) (+.f64 1 (cos.f64 (.f64 2 x))))
(if (!=.f64 (+.f64 (cos.f64 (.f64 2 x)) -1) 0) (/.f64 (-.f64 1 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2)) (-.f64 1 (cos.f64 (.f64 2 x)))) (+.f64 (cos.f64 (.f64 2 x)) 1))
(if (!=.f64 (cos.f64 (.f64 2 x)) 0) (+.f64 1 (cos.f64 (.f64 2 x))) (+.f64 1 (cos.f64 (*.f64 2 x))))
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(if (!=.f64 -1 0) (+.f64 1 (cos.f64 (.f64 2 x))) (+.f64 1 (cos.f64 (.f64 2 x))))
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(if (!=.f64 (-.f64 1 (cos.f64 (.f64 2 x))) 0) (/.f64 (-.f64 1 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2)) (-.f64 1 (cos.f64 (.f64 2 x)))) (+.f64 1 (cos.f64 (.f64 2 x))))
(if (!=.f64 (-.f64 1 (cos.f64 (.f64 2 x))) 0) (/.f64 (-.f64 1 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2)) (-.f64 1 (cos.f64 (.f64 2 x)))) (+.f64 (cos.f64 (.f64 2 x)) 1))
(if (!=.f64 (neg.f64 (cos.f64 (.f64 2 x))) 0) (+.f64 1 (cos.f64 (.f64 2 x))) (+.f64 1 (cos.f64 (*.f64 2 x))))
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(if (!=.f64 1 0) (+.f64 1 (cos.f64 (.f64 2 x))) (+.f64 1 (cos.f64 (.f64 2 x))))
(+.f64 (cos.f64 (*.f64 2 x)) 1)

eval1.3s (6.7%)

Compiler: Compiled 74207 to 46607 computations (37.2% saved)

prune433.0ms (2.3%)

Pruning

43 alts after pruning (35 fresh and 8 done)

	Pruned	Kept	Total
New	1190	17	1207
Fresh	4	18	22
Picked	1	0	1
Done	2	8	10
Total	1197	43	1240

Error

0.1b

Counts

1240 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	28.1b	(/.f64 (if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) 1)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
✓	27.7b	(/.f64 (if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x))) (sin.f64 x))
	27.7b	(/.f64 (if (!=.f64 (.f64 (cos.f64 x) (cos.f64 x)) 0) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
	27.7b	(/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (sin.f64 x)))
	30.5b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))))) (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))))) (/.f64 (+.f64 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))) (-.f64 4 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2)))))))) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
✓	27.7b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
	30.9b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (if (!=.f64 (-.f64 (.f64 -2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) 0) (/.f64 (-.f64 (.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 2 (cos.f64 (.f64 2 x))))) (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 2 (cos.f64 (.f64 2 x))))) 4)) (-.f64 (.f64 -2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2))) (-.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2))) (-.f64 4 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2)))))))) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
	30.4b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 (+.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (.f64 (cos.f64 (.f64 2 x)) (-.f64 -1 (cos.f64 (.f64 2 x))))) (+.f64 1 (cos.f64 (.f64 2 x)))) (-.f64 4 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2)))))))) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
	30.4b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2)))))) (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))))) (.f64 (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (-.f64 (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))))))) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
	30.3b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))) (pow.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) 2)) (-.f64 4 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2)))))))) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
	31.1b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (.f64 2 (fabs.f64 (/.f64 (/.f64 (.f64 (cos.f64 (.f64 2 x)) (-.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 2 (cos.f64 (.f64 2 x))))))) (cos.f64 (.f64 2 x))) (/.f64 (-.f64 (cos.f64 (.f64 2 x)) (.f64 (cos.f64 (.f64 2 x)) (+.f64 (cos.f64 (.f64 2 x)) 1))) (cos.f64 (.f64 2 x)))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))) (-.f64 4 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2)))))))) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
	30.3b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))) (if (!=.f64 (-.f64 -4 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x)))))) 0) (/.f64 (+.f64 (.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 x)) (+.f64 2 (cos.f64 (.f64 2 x))))) -4) 16) (+.f64 4 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))))) (-.f64 4 (.f64 2 (fabs.f64 (-.f64 -1 (cos.f64 (.f64 2 x))))))))) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
	31.3b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))) (-.f64 4 (.f64 2 (fabs.f64 (if (!=.f64 (-.f64 1 (cos.f64 (.f64 2 x))) 0) (/.f64 (-.f64 1 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2)) (-.f64 1 (cos.f64 (.f64 2 x)))) (+.f64 (cos.f64 (.f64 2 x)) 1))))))) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
	27.8b	(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
	28.2b	(/.f64 (/.f64 (/.f64 (if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) 1)) (+.f64 (cos.f64 x) -1)) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
	27.8b	(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (+.f64 (cos.f64 x) -1) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (neg.f64 (+.f64 (cos.f64 x) -2))) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
	27.9b	(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2)) 2) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
✓	27.7b	(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
	27.9b	(/.f64 (/.f64 (-.f64 (.f64 -2 (.f64 (-.f64 1 (cos.f64 x)) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 4 (.f64 -2 (*.f64 (-.f64 1 (cos.f64 x)) -2)))) (sin.f64 x))
	27.7b	(/.f64 (/.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (sin.f64 x))
	27.7b	(/.f64 (/.f64 (+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
	28.3b	(/.f64 (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (*.f64 x 2)) 2)) 4))) (sin.f64 x))
	28.6b	(/.f64 (/.f64 (.f64 (/.f64 (if (!=.f64 (-.f64 1 (cos.f64 (.f64 x 2))) 0) (/.f64 (+.f64 -1 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2)) (-.f64 1 (cos.f64 (.f64 x 2)))) (-.f64 -1 (cos.f64 (.f64 x 2)))) -2) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (*.f64 x 2)) 2)) 4))) (sin.f64 x))
	30.3b	(/.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2)))))) (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))))) (.f64 (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (-.f64 (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2)))))))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) 4))) (sin.f64 x))
	28.6b	(/.f64 (/.f64 (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) -2) (.f64 (cos.f64 x) (if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (-.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (*.f64 x 2)) 2)) 4))) (sin.f64 x))
	28.0b	(/.f64 (/.f64 (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) -2) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (-.f64 (.f64 2 (cos.f64 (.f64 x 2))) -2) 4))) (sin.f64 x))
	30.3b	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))) (-.f64 4 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))))) (if (!=.f64 (.f64 (cos.f64 x) (cos.f64 x)) 0) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
	30.3b	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))) (-.f64 4 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
✓	27.7b	(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
	27.8b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (-.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
	28.5b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (if (!=.f64 (+.f64 (.f64 2 (cos.f64 (.f64 x 2))) -2) 0) (/.f64 (-.f64 -4 (.f64 (.f64 (neg.f64 (cos.f64 (.f64 x 2))) 4) (cos.f64 (.f64 x 2)))) (+.f64 (.f64 2 (cos.f64 (.f64 x 2))) -2)) (+.f64 2 (.f64 2 (cos.f64 (.f64 x 2))))) 4))) (sin.f64 x))
	30.4b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (-.f64 (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2)))))) (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (.f64 x 2))))))) (.f64 (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (-.f64 (+.f64 4 (-.f64 -2 (.f64 2 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 2 (+.f64 1 (cos.f64 (*.f64 x 2)))))))))) (sin.f64 x))
	28.3b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 (*.f64 x 2))) -2))) (sin.f64 x))
	30.3b	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (+.f64 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))) (-.f64 4 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (*.f64 x 2))))))))) (sin.f64 x))
	27.7b	(/.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
✓	27.6b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	60.8b	(/.f64 (-.f64 1 (cos.f64 x)) x)
	28.2b	(/.f64 (.f64 (cos.f64 x) (/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))))) (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))))))) (.f64 (cos.f64 x) (sin.f64 x)))
	27.9b	(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (cos.f64 x) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
✓	27.7b	(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
	27.9b	(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 (+.f64 x x)) -2)))
✓	34.7b	(-.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) -1/24))
✓	34.0b	(*.f64 1/2 x)

Compiler

Compiled 2635 to 1624 computations (38.4% saved)

regimes216.0ms (1.2%)

Counts

69 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(/.f64 (-.f64 1 (cos.f64 x)) 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 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 (+.f64 x x)) -2)))
(/.f64 (if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -2)) 2) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
(/.f64 (if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) 1)) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (/.f64 (+.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
(/.f64 (/.f64 (-.f64 (.f64 -2 (.f64 (-.f64 1 (cos.f64 x)) -2)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 4 (.f64 -2 (*.f64 (-.f64 1 (cos.f64 x)) -2)))) (sin.f64 x))
(/.f64 (/.f64 (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) -2) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (-.f64 (.f64 2 (cos.f64 (.f64 x 2))) -2) 4))) (sin.f64 x))
(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
(/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (.f64 (cos.f64 x) (if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (-.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 (*.f64 x 2))) -2))) (sin.f64 x))
(/.f64 (/.f64 (/.f64 (if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (+.f64 -1 (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) 1)) (+.f64 (cos.f64 x) -1)) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) 4)) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (+.f64 (cos.f64 x) -1) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (neg.f64 (+.f64 (cos.f64 x) -2))) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
(/.f64 (/.f64 (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) -2) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) 4))) (sin.f64 x))
(/.f64 (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
(/.f64 (if (!=.f64 (.f64 (cos.f64 x) (cos.f64 x)) 0) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x)) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) (cos.f64 x))) (sin.f64 x))
(/.f64 (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (*.f64 x 2)) 2)) 4))) (sin.f64 x))
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) 4))) (sin.f64 x))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (.f64 x 2)) 2)) 4) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (-.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (.f64 (+.f64 (neg.f64 (cos.f64 (.f64 x 2))) 1) (-.f64 -1 (cos.f64 (.f64 x 2)))) (+.f64 -2 (.f64 2 (cos.f64 (*.f64 x 2))))))) (sin.f64 x))
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 (+.f64 1 (cos.f64 (.f64 x 2))) 2)) (+.f64 (+.f64 (.f64 2 (cos.f64 (*.f64 x 2))) 2) -4)))) (sin.f64 x))
(/.f64 (/.f64 (.f64 (/.f64 (if (!=.f64 (-.f64 1 (cos.f64 (.f64 x 2))) 0) (/.f64 (+.f64 -1 (/.f64 (+.f64 1 (cos.f64 (.f64 x 4))) 2)) (-.f64 1 (cos.f64 (.f64 x 2)))) (-.f64 -1 (cos.f64 (.f64 x 2)))) -2) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (*.f64 x 2)) 2)) 4))) (sin.f64 x))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 x)))) (.f64 (cos.f64 x) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 x))))))
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (if (!=.f64 1 0) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
(/.f64 (/.f64 (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 x 2))) -2) (.f64 (cos.f64 x) (if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (-.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 (.f64 x 2)) (+.f64 (cos.f64 (*.f64 x 2)) 2)) 4))) (sin.f64 x))
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(/.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))))) (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))))))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 x)))) (sin.f64 x))
(/.f64 (/.f64 (if (!=.f64 (cos.f64 x) 0) (/.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))))) (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))) (.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))))))))) (/.f64 (+.f64 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2))))) (.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (-.f64 -1 (cos.f64 (.f64 x 2))))) (-.f64 4 (.f64 2 (fabs.f64 (+.f64 1 (cos.f64 (.f64 x 2)))))))) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x)))) (cos.f64 x)) (sin.f64 x))

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

78.0ms	x
55.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

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

Compiler

Compiled 4500 to 2365 computations (47.4% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9321639092459002e-7	0.006110798165319593
0.0ms	-0.022635535959535377	-3.4405867334671067e-6

Compiler

Compiled 12 to 9 computations (25% saved)

regimes38.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(/.f64 (-.f64 1 (cos.f64 x)) 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 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 (+.f64 x x)) -2)))
(/.f64 (if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (/.f64 -1 (cos.f64 x))) (sin.f64 x))

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

19.0ms	x
16.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

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

Compiler

Compiled 140 to 81 computations (42.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9321639092459002e-7	0.006110798165319593
0.0ms	-0.022635535959535377	-3.4405867334671067e-6

Compiler

Compiled 12 to 9 computations (25% saved)

regimes25.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(/.f64 (-.f64 1 (cos.f64 x)) 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 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 (+.f64 x x)) -2)))
(/.f64 (if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (-.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:

13.0ms	x
10.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

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

Compiler

Compiled 82 to 55 computations (32.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9321639092459002e-7	0.006110798165319593
0.0ms	-0.022635535959535377	-3.4405867334671067e-6

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total -27.9b remaining (-82%)

Threshold costs -27.9b (-82%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 1/2 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
34.0b	1	`x`

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	426

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 (cos.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x))) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 944473296573929/4722366482869645213696) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/288230376151711744) (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x))) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 944473296573929/4722366482869645213696) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 944473296573929/4722366482869645213696) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 1/2 x)

Outputs
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/288230376151711744) (/.f64 (-.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x))) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 944473296573929/4722366482869645213696) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/288230376151711744) (/.f64 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (sin.f64 x))) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 944473296573929/4722366482869645213696) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 944473296573929/4722366482869645213696) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 1/2 x)

Compiler

Compiled 149 to 90 computations (39.6% saved)

soundness131.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

928×	`rational_best-simplify-53`
870×	`rational_best-simplify-56`
814×	`rational_best-simplify-52`
750×	`rational_best-simplify-96`
738×	`rational_best-simplify-111`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	866
1	139	860
2	749	752
3	5191	752
0	144	1479
1	551	1395
2	2903	1395

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 84 to 32 computations (61.9% saved)

end55.0ms (0.3%)

Compiler: Compiled 146 to 82 computations (43.8% saved)