Details

analyze589.0ms (2.1%)

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 18 to 15 computations (16.7% saved)

sample3.2s (11.5%)

Results

1.5s	2083×	body	1024	valid
1.2s	5168×	body	256	valid
459.0ms	1000×	body	512	valid
6.0ms	5×	body	2048	valid

Bogosity

preprocess171.0ms (0.6%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

Outputs
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify67.0ms (0.2%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

Outputs
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))

eval1.0ms (0%)

Compiler: Compiled 28 to 22 computations (21.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

17.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.2b	(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
▶	17.1b	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

Compiler

Compiled 29 to 24 computations (17.2% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 (*.f64 x 1/2))
✓	0.2b	(.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))
✓	0.4b	(.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2)))
✓	17.0b	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

Compiler

Compiled 54 to 43 computations (20.4% saved)

series33.0ms (0.1%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
1.0ms	x	@	-inf	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
1.0ms	x	@	0	(.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))
1.0ms	x	@	0	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
1.0ms	x	@	inf	(.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2)))

Compiler

Compiled 2170 to 1735 computations (20% saved)

rewrite164.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

155×	`egg-rr`
132×	`egg-rr`
111×	`egg-rr`
18×	`egg-rr`

Counts

4 → 416

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2)))
(.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))
(sin.f64 (*.f64 x 1/2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 0) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) 0) (/.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)))) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 0) (/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (/.f64 (pow.f64 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simplify902.0ms (3.3%)

Algorithm

1×

egglog

Counts

456 → 653

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 -1/18 (pow.f64 x 3)))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 -1/241920 (pow.f64 x 7)) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (.f64 -1/18 (pow.f64 x 3)))))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(*.f64 1/2 x)
(+.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 -1/48 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/3840 (pow.f64 x 5))))
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(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 3/8)) (cbrt.f64 (/.f64 9 64)))
(/.f64 (.f64 1/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 1/8)
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 3)) (cbrt.f64 (/.f64 9 512)))
(/.f64 (.f64 -8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -1)
(/.f64 (/.f64 (.f64 8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sqrt.f64 3)) (sqrt.f64 3))
(/.f64 (/.f64 (.f64 8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 3)) (cbrt.f64 9))
(/.f64 (/.f64 (.f64 8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 9)) (cbrt.f64 3))
(/.f64 (/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sqrt.f64 3)) (neg.f64 (sqrt.f64 3)))
(/.f64 (/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (neg.f64 (cbrt.f64 3))) (cbrt.f64 9))
(/.f64 (/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (neg.f64 (sqrt.f64 3))) (sqrt.f64 3))
(/.f64 (/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 1) -3)
(/.f64 (/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 3)) (neg.f64 (cbrt.f64 9)))
(/.f64 (/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 -3)) (cbrt.f64 9))
(/.f64 (/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -1) 3)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) (.f64 3/8 2))
(/.f64 (.f64 (cbrt.f64 (/.f64 512 3)) (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2))))) (*.f64 (cbrt.f64 9) 2))
(/.f64 (.f64 8 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2))))) (*.f64 3 2))
(/.f64 (.f64 (sqrt.f64 (/.f64 64 3)) (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2))))) (*.f64 (sqrt.f64 3) 2))
(/.f64 (.f64 -8 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2))))) (*.f64 -3 2))
(/.f64 (.f64 -1 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2))))) (*.f64 -3/8 2))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) (cbrt.f64 (/.f64 512 3))) (*.f64 2 (cbrt.f64 9)))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 1) (*.f64 2 3/8))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 8) (*.f64 2 3))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) (sqrt.f64 (/.f64 64 3))) (*.f64 2 (sqrt.f64 3)))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) -8) (*.f64 2 -3))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) -1) (*.f64 2 -3/8))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 8/3) (*.f64 2 1))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(pow.f64 (.f64 512/27 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3)) 1/3)
(pow.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 3)
(pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 1)
(neg.f64 (.f64 -8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(cbrt.f64 (.f64 512/27 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3)))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 1 (/.f64 1 (sin.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(if (!=.f64 1 0) (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(if (!=.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))))) (sin.f64 (.f64 x 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (sin.f64 (.f64 x 1/2)))
(if (!=.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) -3)) (sin.f64 (*.f64 x 1/2)))
(.f64 1 (sin.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) 1)
(.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) 1)
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 1)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(sin.f64 (*.f64 x 1/2))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 -1/18 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 -1/18 (pow.f64 x 3)))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(fma.f64 4/3 x (fma.f64 1/1440 (pow.f64 x 5) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 -1/241920 (pow.f64 x 7)) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (.f64 -1/18 (pow.f64 x 3)))))
(fma.f64 4/3 x (fma.f64 -1/241920 (pow.f64 x 7) (fma.f64 1/1440 (pow.f64 x 5) (*.f64 -1/18 (pow.f64 x 3)))))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) 8/3)
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) 8/3)
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) 8/3)
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) 8/3)
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) 8/3)
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) 8/3)
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) 8/3)
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) 8/3)
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (.f64 2/3 (.f64 x x)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (.f64 1/540 (pow.f64 x 6)))))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3)
(*.f64 1/2 x)
(+.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 1/2 x))
(fma.f64 -1/48 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (.f64 -1/48 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/3840 (pow.f64 x 5))))
(fma.f64 -1/48 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/3840 (pow.f64 x 5))))
(+.f64 (.f64 -1/645120 (pow.f64 x 7)) (+.f64 (.f64 -1/48 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 1/3840 (pow.f64 x 5)))))
(fma.f64 -1/645120 (pow.f64 x 7) (fma.f64 -1/48 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/3840 (pow.f64 x 5)))))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (sin.f64 (.f64 1/2 x)) 0) (/.f64 (.f64 (sin.f64 (.f64 1/2 x)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))) (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 0) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (.f64 (sin.f64 (.f64 1/2 x)) 8/3) 0) (/.f64 (.f64 (sin.f64 (.f64 1/2 x)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) 0) (/.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3) 2)) 0) (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3) 2)))) (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 0) (/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 0) (/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))) (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3) 0) (/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 1 0) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 1 0) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (/.f64 (sin.f64 x) 8/3)) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) 0) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 8/3)) 0) (/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 8/3)) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 8/3)))) (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 8/3 0) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 8/3 0) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (/.f64 (sin.f64 x) 8/3)) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (.f64 (sqrt.f64 8/3) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (.f64 (sqrt.f64 8/3) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (.f64 (sqrt.f64 8/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) 0) (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (.f64 (sqrt.f64 8/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)))) (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 2)) (sin.f64 (.f64 x 1/2))) 0) (/.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 2)))) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 x)) 8/3) 2)) (sin.f64 (.f64 1/2 x))) 0) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 x)) 8/3)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 x)) 8/3) 2)))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 0) (/.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3)) 0) (/.f64 (cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3)))) (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (.f64 (sin.f64 (.f64 1/2 x)) 8/3)) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 (sin.f64 x) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (.f64 (sin.f64 (.f64 1/2 x)) 8/3)))) (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (/.f64 (sin.f64 x) 8/3)))
(if (!=.f64 (.f64 1/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 8 (/.f64 (sin.f64 x) (.f64 1/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)))
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(/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) 2)
(/.f64 (.f64 (.f64 (.f64 8 (sin.f64 (.f64 x 1/2))) (cbrt.f64 1/3)) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 9))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 9)) (.f64 (.f64 8 (sin.f64 (*.f64 1/2 x))) (cbrt.f64 1/3)))
(/.f64 (.f64 (.f64 (.f64 8 (sin.f64 (.f64 x 1/2))) (sqrt.f64 1/3)) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 3))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 x)) (.f64 8 (sin.f64 (*.f64 1/2 x)))) (sqrt.f64 1/3)) (sqrt.f64 3))
(/.f64 (.f64 (sqrt.f64 8) (.f64 (sqrt.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sqrt.f64 3))
(/.f64 (.f64 (.f64 (sqrt.f64 8) (sqrt.f64 8/3)) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (sqrt.f64 3))
(/.f64 (.f64 (sqrt.f64 8/3) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sqrt.f64 3/8))
(/.f64 (.f64 (sqrt.f64 8/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sqrt.f64 3/8))
(/.f64 (.f64 (cbrt.f64 8) (.f64 (cbrt.f64 64/9) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 3))
(/.f64 (.f64 (.f64 (cbrt.f64 8) (cbrt.f64 64/9)) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (cbrt.f64 3))
(/.f64 (.f64 (cbrt.f64 -8) (.f64 (cbrt.f64 64/9) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 -3))
(/.f64 (.f64 (.f64 (cbrt.f64 -8) (cbrt.f64 64/9)) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (cbrt.f64 -3))
(/.f64 (.f64 (cbrt.f64 64/9) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 3/8))
(/.f64 (.f64 (cbrt.f64 64/9) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (cbrt.f64 3/8))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -3/8)
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) -3/8)
(/.f64 (.f64 (cbrt.f64 (/.f64 512 3)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 9))
(/.f64 (.f64 (cbrt.f64 512/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (cbrt.f64 9))
(/.f64 (.f64 (sqrt.f64 (/.f64 64 3)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sqrt.f64 3))
(/.f64 (.f64 (sqrt.f64 64/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sqrt.f64 3))
(/.f64 (.f64 (.f64 -8 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) -3)
(/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) -3)
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sqrt.f64 3) 1/2)) (/.f64 (sqrt.f64 3) (cbrt.f64 64)))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (.f64 (/.f64 (sqrt.f64 3) (cbrt.f64 64)) (*.f64 (sqrt.f64 3) 1/2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 3)) (sqrt.f64 (/.f64 3 64)))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (.f64 (sqrt.f64 3/64) (sqrt.f64 3)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (cbrt.f64 3) (sqrt.f64 1/8))) (*.f64 (cbrt.f64 9) (sqrt.f64 1/8)))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (.f64 (.f64 (cbrt.f64 9) (sqrt.f64 1/8)) (.f64 (cbrt.f64 3) (sqrt.f64 1/8))))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 3/8)) (cbrt.f64 (.f64 3/8 3/8)))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (.f64 (cbrt.f64 9/64) (cbrt.f64 3/8)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 1/2) (.f64 1/2 3/2))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (.f64 3/4 1/2))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 1/8)) (sqrt.f64 (/.f64 9 8)))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (.f64 (sqrt.f64 9/8) (sqrt.f64 1/8)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 3/8)) (cbrt.f64 (/.f64 9 64)))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (.f64 (cbrt.f64 9/64) (cbrt.f64 3/8)))
(/.f64 (.f64 1/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 1/8)
(/.f64 (.f64 1/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) 1/8)
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 3)) (cbrt.f64 (/.f64 9 512)))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (.f64 (cbrt.f64 9/512) (cbrt.f64 3)))
(/.f64 (.f64 -8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -1)
(/.f64 (.f64 -8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) -1)
(/.f64 (/.f64 (.f64 8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sqrt.f64 3)) (sqrt.f64 3))
(/.f64 (.f64 8 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) 3)
(/.f64 (/.f64 (.f64 8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 3)) (cbrt.f64 9))
(/.f64 (/.f64 (.f64 8 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (cbrt.f64 3)) (cbrt.f64 9))
(/.f64 (/.f64 (.f64 8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 9)) (cbrt.f64 3))
(/.f64 (/.f64 (.f64 8 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (cbrt.f64 9)) (cbrt.f64 3))
(/.f64 (/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sqrt.f64 3)) (neg.f64 (sqrt.f64 3)))
(/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (*.f64 (neg.f64 (sqrt.f64 3)) (sqrt.f64 3)))
(/.f64 (/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (neg.f64 (cbrt.f64 3))) (cbrt.f64 9))
(/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (*.f64 (cbrt.f64 9) (neg.f64 (cbrt.f64 3))))
(/.f64 (/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (neg.f64 (sqrt.f64 3))) (sqrt.f64 3))
(/.f64 (.f64 (/.f64 -8 (sqrt.f64 3)) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (neg.f64 (sqrt.f64 3)))
(/.f64 (/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 1) -3)
(/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) -3)
(/.f64 (/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 3)) (neg.f64 (cbrt.f64 9)))
(/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (*.f64 (neg.f64 (cbrt.f64 9)) (cbrt.f64 3)))
(/.f64 (/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 -3)) (cbrt.f64 9))
(/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (*.f64 (cbrt.f64 9) (cbrt.f64 -3)))
(/.f64 (/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -1) 3)
(/.f64 (.f64 -8 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (*.f64 3 -1))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) (.f64 3/8 2))
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(/.f64 (.f64 (cbrt.f64 (/.f64 512 3)) (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2))))) (*.f64 (cbrt.f64 9) 2))
(/.f64 (.f64 (cbrt.f64 512/3) (-.f64 1 (cos.f64 x))) (.f64 (cbrt.f64 9) 2))
(/.f64 (.f64 8 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2))))) (*.f64 3 2))
(/.f64 (*.f64 8 (-.f64 1 (cos.f64 x))) 6)
(/.f64 (.f64 (sqrt.f64 (/.f64 64 3)) (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2))))) (*.f64 (sqrt.f64 3) 2))
(/.f64 (.f64 (sqrt.f64 64/3) (-.f64 1 (cos.f64 x))) (.f64 (sqrt.f64 3) 2))
(/.f64 (.f64 -8 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2))))) (*.f64 -3 2))
(/.f64 (*.f64 -8 (-.f64 1 (cos.f64 x))) -6)
(/.f64 (.f64 -1 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2))))) (*.f64 -3/8 2))
(/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 -3/4))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) (cbrt.f64 (/.f64 512 3))) (*.f64 2 (cbrt.f64 9)))
(/.f64 (.f64 (cbrt.f64 512/3) (-.f64 1 (cos.f64 x))) (.f64 (cbrt.f64 9) 2))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 1) (*.f64 2 3/8))
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 8) (*.f64 2 3))
(/.f64 (*.f64 8 (-.f64 1 (cos.f64 x))) 6)
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) (sqrt.f64 (/.f64 64 3))) (*.f64 2 (sqrt.f64 3)))
(/.f64 (.f64 (sqrt.f64 64/3) (-.f64 1 (cos.f64 x))) (.f64 (sqrt.f64 3) 2))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) -8) (*.f64 2 -3))
(/.f64 (*.f64 -8 (-.f64 1 (cos.f64 x))) -6)
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) -1) (*.f64 2 -3/8))
(/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 -3/4))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 8/3) (*.f64 2 1))
(/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) 2)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8)
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) 3/8)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3)
(pow.f64 (.f64 512/27 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3)) 1/3)
(.f64 (cbrt.f64 512/27) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(pow.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 3)
(.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3)
(pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 1)
(.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 8/3)
(neg.f64 (.f64 -8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 -8/3 (neg.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)))
(cbrt.f64 (.f64 512/27 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3)))
(.f64 (cbrt.f64 512/27) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 1 (/.f64 1 (sin.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(if (!=.f64 (sin.f64 (.f64 1/2 x)) 0) (pow.f64 (/.f64 1 (sin.f64 (.f64 1/2 x))) -1) (sin.f64 (*.f64 1/2 x)))
(if (!=.f64 1 0) (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(if (!=.f64 1 0) (sin.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(if (!=.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))))) (sin.f64 (.f64 x 1/2)))
(if (!=.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 0) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (/.f64 1 (sin.f64 (.f64 1/2 x))))) (sin.f64 (.f64 1/2 x)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (sin.f64 (.f64 x 1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)))) (sin.f64 (.f64 1/2 x)))
(if (!=.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) -3)) (sin.f64 (*.f64 x 1/2)))
(if (!=.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) -3)) (sin.f64 (*.f64 1/2 x)))
(.f64 1 (sin.f64 (.f64 x 1/2)))
(sin.f64 (*.f64 1/2 x))
(.f64 (sin.f64 (.f64 x 1/2)) 1)
(sin.f64 (*.f64 1/2 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (cbrt.f64 (sin.f64 (.f64 1/2 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x)))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(sin.f64 (*.f64 1/2 x))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 1/2 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) 1)
(sin.f64 (*.f64 1/2 x))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -1)
(sin.f64 (*.f64 1/2 x))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 1)
(sin.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 1/3)
(sin.f64 (*.f64 1/2 x))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3)
(sin.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 (*.f64 x 1/2))
✓	0.2b	(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
✓	0.3b	(/.f64 (sin.f64 x) 8/3)
✓	16.9b	(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))

Compiler

Compiled 35 to 25 computations (28.6% saved)

series23.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 (sin.f64 x) 8/3)
0.0ms	x	@	inf	(/.f64 (sin.f64 x) 8/3)
0.0ms	x	@	0	(/.f64 (sin.f64 x) 8/3)
0.0ms	x	@	0	(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
0.0ms	x	@	0	(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))

Compiler

Compiled 1610 to 1225 computations (23.9% saved)

rewrite205.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

188×	`egg-rr`
78×	`egg-rr`
72×	`egg-rr`

Counts

3 → 338

Calls

Call 1

Inputs
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(/.f64 (sin.f64 x) 8/3)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)

Outputs
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Outputs

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

simplify766.0ms (2.8%)

Algorithm

1×

egglog

Counts

366 → 485

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(*.f64 3/8 x)
(+.f64 (.f64 -1/16 (pow.f64 x 3)) (.f64 3/8 x))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (+.f64 (.f64 -1/13440 (pow.f64 x 7)) (.f64 3/8 x))))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(if (!=.f64 8/3 0) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 -8/3 0) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 0) (pow.f64 (/.f64 (.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -1) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 x) 3/8) (sin.f64 (.f64 x 1/2)))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (.f64 (sin.f64 x) 3/8) (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 1 0) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (.f64 x 1/2))) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 x) 3/8) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (.f64 x 1/2))))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) (/.f64 (.f64 (sin.f64 x) 3/8) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) 0) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (/.f64 (.f64 (sin.f64 x) -3/8) (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (pow.f64 (/.f64 (.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -1) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2))) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (.f64 (sin.f64 x) 3/8) (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 x) -3/8) (sin.f64 (.f64 x 1/2)))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) 0) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 x) 3/8) (sin.f64 (.f64 x 1/2)))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (/.f64 (.f64 (sin.f64 x) -3/8) (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 2))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 0) (/.f64 -1 (/.f64 (.f64 (sin.f64 x) -3/8) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 2) 0) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) (/.f64 3/8 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 2))) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 0) (/.f64 1 (/.f64 3/8 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) (sin.f64 x)) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 3/8 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) (sin.f64 x)))) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) 0) (/.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (/.f64 3/8 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 0) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (/.f64 1 (sin.f64 x)) 0) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 3/8 (/.f64 1 (sin.f64 x)))) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
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(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (cbrt.f64 -8/3)) (cbrt.f64 64/9))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 64/9)) (cbrt.f64 8/3))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 3/8)) (sqrt.f64 (sqrt.f64 8/3))) (sqrt.f64 (sqrt.f64 8/3)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 3/8)) (cbrt.f64 (sqrt.f64 8/3))) (cbrt.f64 8/3))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) -8/3)
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sqrt.f64 3/8))) (neg.f64 (sqrt.f64 8/3)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (cbrt.f64 3/8))) (neg.f64 (cbrt.f64 64/9)))
(/.f64 (neg.f64 (sin.f64 x)) -8/3)
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 3/8)) (cbrt.f64 64/9))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 3/8)) (sqrt.f64 8/3))
(/.f64 (sin.f64 x) 8/3)
(/.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sqrt.f64 512/27))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (sqrt.f64 8/3))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 64/9))
(/.f64 (*.f64 (sqrt.f64 3/8) (sin.f64 x)) (sqrt.f64 8/3))
(/.f64 (*.f64 (cbrt.f64 3/8) (sin.f64 x)) (cbrt.f64 64/9))
(/.f64 (.f64 (.f64 (sin.f64 x) (sqrt.f64 3/8)) 1) (sqrt.f64 8/3))
(/.f64 (.f64 (.f64 (sin.f64 x) (cbrt.f64 3/8)) 1) (cbrt.f64 64/9))
(/.f64 (.f64 (cbrt.f64 (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 3/8))) (sqrt.f64 8/3))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 3/8)) 1) (sqrt.f64 8/3))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (cbrt.f64 3/8)) 1) (cbrt.f64 64/9))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (cbrt.f64 3/8)) (cbrt.f64 (cbrt.f64 64/9))) (pow.f64 (cbrt.f64 (cbrt.f64 64/9)) 2))
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 x) -3/8))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(fma.f64 1 1 (neg.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2)))
(fma.f64 1/2 1 (neg.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2))))))
(fma.f64 (cbrt.f64 1/2) (cbrt.f64 1/4) (neg.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2))))))
(fma.f64 (sqrt.f64 1/2) (sqrt.f64 1/2) (neg.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2))))))
(fma.f64 (cbrt.f64 1/4) (cbrt.f64 1/2) (neg.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2))))))
(fma.f64 1 1/2 (neg.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2))))))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(if (!=.f64 1 0) (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (.f64 x 1/2))) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (.f64 x 1/2))))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(if (!=.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 0) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(if (!=.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (-.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2) (pow.f64 (cos.f64 (.f64 x 1/2)) 2))) (+.f64 1 (pow.f64 (cos.f64 (.f64 x 1/2)) 2))) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(if (!=.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2) 0) (/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2)))) (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2)))))) (pow.f64 (cos.f64 (.f64 x 1/2)) 2)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(if (!=.f64 1/2 0) (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(if (!=.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2) 0) (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(if (!=.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 0) (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(if (!=.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2) (pow.f64 (cos.f64 (.f64 x 1/2)) 2)) (pow.f64 (cos.f64 (.f64 x 1/2)) 2))) 0) (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(if (!=.f64 (+.f64 1/4 (+.f64 (.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2)))) (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2))))) (.f64 1/2 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2))))))) 0) (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(+.f64 1 (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
(+.f64 1/2 (.f64 (neg.f64 1/2) (cos.f64 (.f64 x (+.f64 1/2 1/2)))))
(+.f64 1 (neg.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2)))
(+.f64 1/2 (neg.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2))))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2)))))
(-.f64 1 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(-.f64 (/.f64 (cos.f64 0) 2) (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2)))))
(-.f64 1 (/.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2) 1))
(-.f64 1/2 (/.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 1))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (*.f64 x 1/2))))
(.f64 1 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 1)
(.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 2) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 2) (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 2))))
(.f64 1/2 (-.f64 1 (cos.f64 (.f64 x (+.f64 1/2 1/2)))))
(.f64 -1 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 2))
(.f64 (neg.f64 -1) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 2)))
(.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 2))))
(.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (neg.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 2)))
(.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 2)))))
(.f64 (+.f64 1 (cos.f64 (.f64 x 1/2))) (-.f64 1 (cos.f64 (*.f64 x 1/2))))
(.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 1/2)
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (*.f64 x 1/2))) 1))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 x (+.f64 1/2 1/2)))) 2)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1)
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 1) 2)
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1)
(/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 x (+.f64 1/2 1/2)))) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 x (+.f64 1/2 1/2)))) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 x (+.f64 1/2 1/2)))) (cbrt.f64 4)) (cbrt.f64 2))
(/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 x (+.f64 1/2 1/2)))) 1) 2)
(/.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 3)) (+.f64 1/4 (+.f64 (.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2)))) (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2))))) (.f64 1/2 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2))))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2) 3)) (+.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2) (pow.f64 (cos.f64 (.f64 x 1/2)) 2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))))
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 x (+.f64 1/2 1/2))))) (neg.f64 2))
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3) 1/3)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1)
(neg.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2) 1))
(neg.f64 (-.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 1/2))
(neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 3/8 x)
(+.f64 (.f64 -1/16 (pow.f64 x 3)) (.f64 3/8 x))
(fma.f64 -1/16 (pow.f64 x 3) (*.f64 3/8 x))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)))
(fma.f64 1/320 (pow.f64 x 5) (fma.f64 -1/16 (pow.f64 x 3) (*.f64 3/8 x)))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (+.f64 (.f64 -1/13440 (pow.f64 x 7)) (.f64 3/8 x))))
(fma.f64 1/320 (pow.f64 x 5) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 -1/13440 (pow.f64 x 7) (*.f64 3/8 x))))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(fma.f64 1/4 (.f64 x x) (.f64 -1/48 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (.f64 -1/48 (pow.f64 x 4))))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (.f64 -1/48 (pow.f64 x 4)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(if (!=.f64 8/3 0) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 8/3 0) (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (/.f64 8/3 (sin.f64 x))) (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 -8/3 0) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 -8/3 0) (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (/.f64 8/3 (sin.f64 x))) (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 0) (pow.f64 (/.f64 (.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -1) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 0) (pow.f64 (/.f64 (.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) -1) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 x) 3/8) (sin.f64 (.f64 x 1/2)))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (sin.f64 (.f64 1/2 x)) 0) (/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) 3/8))) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (.f64 (sin.f64 x) 3/8) (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) 2)) 3/8))) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 1 0) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 1 0) (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (/.f64 8/3 (sin.f64 x))) (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (/.f64 8/3 (sin.f64 x))))
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(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(.f64 (neg.f64 -1) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 2))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (neg.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 2)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(.f64 (+.f64 1 (cos.f64 (.f64 x 1/2))) (-.f64 1 (cos.f64 (*.f64 x 1/2))))
(.f64 (+.f64 1 (cos.f64 (.f64 1/2 x))) (-.f64 1 (cos.f64 (*.f64 1/2 x))))
(.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 1/2)
(*.f64 1/2 (-.f64 1 (cos.f64 x)))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (*.f64 x 1/2))) 1))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 (sin.f64 (*.f64 1/2 x)))))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 x (+.f64 1/2 1/2)))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 1) 2)
(/.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 x (+.f64 1/2 1/2)))) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 x (+.f64 1/2 1/2)))) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 4) (cbrt.f64 2)))
(/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 x (+.f64 1/2 1/2)))) (cbrt.f64 4)) (cbrt.f64 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 2) (cbrt.f64 4)))
(/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 x (+.f64 1/2 1/2)))) 1) 2)
(/.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 3)) (+.f64 1/4 (+.f64 (.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2)))) (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2))))) (.f64 1/2 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2))))))))
(/.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 x)) 3)) (+.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (+.f64 (.f64 1/2 (cos.f64 x)) 1/2))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2) 3)) (+.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2) (pow.f64 (cos.f64 (.f64 x 1/2)) 2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 2) 2) (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 x (+.f64 1/2 1/2))))) (neg.f64 2))
(/.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(neg.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2) 1))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(neg.f64 (-.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 1/2))
(neg.f64 (fma.f64 1/2 (cos.f64 x) -1/2))
(neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)

eval756.0ms (2.7%)

Compiler: Compiled 26501 to 20808 computations (21.5% saved)

prune442.0ms (1.6%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	1176	28	1204
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	1178	28	1206

Error

Counts

1206 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	18.1b	(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3) 2) (/.f64 (sin.f64 x) 8/3))
	17.2b	(/.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) 2) (sin.f64 x))
	28.0b	(/.f64 (pow.f64 (.f64 512/27 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3)) 1/3) (sin.f64 x))
	17.1b	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
	45.3b	(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 x))
	17.7b	(/.f64 (pow.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 3) (sin.f64 x))
	17.0b	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
	17.1b	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
▶	32.9b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 3/4)
	32.9b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) 8/3))
	32.8b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
	32.9b	(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (sin.f64 x)) 2)
	33.0b	(/.f64 (-.f64 4/3 (/.f64 (*.f64 1/2 (cos.f64 x)) 3/8)) (sin.f64 x))
	32.9b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
	17.1b	(/.f64 (.f64 (/.f64 1 (sin.f64 x)) (.f64 8 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)
	0.3b	(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) -3)
	17.2b	(/.f64 (.f64 (cbrt.f64 512/27) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
	45.5b	(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
	45.5b	(/.f64 (.f64 1/4 (.f64 x x)) (/.f64 (sin.f64 x) 8/3))
	32.9b	(-.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (/.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2)))) (.f64 (sin.f64 x) 3/8)))
	29.3b	(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
▶	17.2b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
	17.1b	(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
▶	0.5b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)) (sin.f64 (.f64 x 1/2)))
	0.5b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
▶	0.3b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))
	17.2b	(.f64 (/.f64 1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
▶	28.8b	(*.f64 2/3 x)

Compiler

Compiled 714 to 588 computations (17.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 (*.f64 x 1/2))
✓	0.1b	(/.f64 (sin.f64 (*.f64 x 1/2)) -3/8)
✓	0.2b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))
✓	0.2b	(/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))

Compiler

Compiled 45 to 29 computations (35.6% saved)

series26.0ms (0.1%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))
1.0ms	x	@	0	(/.f64 (sin.f64 (*.f64 x 1/2)) -3/8)
1.0ms	x	@	inf	(/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))
0.0ms	x	@	0	(/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))
0.0ms	x	@	-inf	(/.f64 (sin.f64 (*.f64 x 1/2)) -3/8)

Compiler

Compiled 1730 to 1325 computations (23.4% saved)

rewrite149.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

196×	`egg-rr`
80×	`egg-rr`
54×	`egg-rr`

Counts

3 → 330

Calls

Call 1

Inputs
(/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))
(/.f64 (sin.f64 (*.f64 x 1/2)) -3/8)

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

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1/2)) -8/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3) 3))))))

simplify653.0ms (2.4%)

Algorithm

1×

egglog

Counts

350 → 523

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 -1/16 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 -1/16 (pow.f64 x 2)) (.f64 -5/768 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (.f64 -1/16 (pow.f64 x 2)) (+.f64 (.f64 -61/92160 (pow.f64 x 6)) (*.f64 -5/768 (pow.f64 x 4)))) 1/2)
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(*.f64 -4/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 -4/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 -1/1440 (pow.f64 x 5)) (*.f64 -4/3 x)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 -1/1440 (pow.f64 x 5)) (+.f64 (.f64 -4/3 x) (.f64 1/241920 (pow.f64 x 7)))))
(.f64 -8/3 (sin.f64 (.f64 1/2 x)))
(.f64 -8/3 (sin.f64 (.f64 1/2 x)))
(.f64 -8/3 (sin.f64 (.f64 1/2 x)))
(.f64 -8/3 (sin.f64 (.f64 1/2 x)))
(.f64 -8/3 (sin.f64 (.f64 1/2 x)))
(.f64 -8/3 (sin.f64 (.f64 1/2 x)))
(.f64 -8/3 (sin.f64 (.f64 1/2 x)))
(.f64 -8/3 (sin.f64 (.f64 1/2 x)))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 1 (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 0) (/.f64 1 (/.f64 1 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 1 0) (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (/.f64 1 (sin.f64 x)) 0) (/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (/.f64 1 (sin.f64 x)))) (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)) 0) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)))) (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (/.f64 -1 (sin.f64 x)) 0) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (/.f64 -1 (sin.f64 x)))) (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
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(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 9/64)) (cbrt.f64 -8/3))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 -8/3)) (cbrt.f64 (.f64 -8/3 -8/3)))
(.f64 (cbrt.f64 -8/3) (.f64 (cbrt.f64 (.f64 -8/3 -8/3)) (sin.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 -8/3) (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 9/64)) 1))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 -8/3)) (/.f64 1 (cbrt.f64 9/64)))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) 8/3)
(.f64 8/3 (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (*.f64 8/3 1))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 2)) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 -3/8))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 2)) (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 3/8))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 1)
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 2))) (cbrt.f64 -3/8))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 2))) (cbrt.f64 3/8))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 -8/3)) (cbrt.f64 (cbrt.f64 9/64))) (pow.f64 (cbrt.f64 (cbrt.f64 9/64)) 2))
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 3/8)) (sqrt.f64 3/8))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 9/64)) (cbrt.f64 -3/8))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 3/8)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 -8/3)) (cbrt.f64 9/64))
(/.f64 (sin.f64 (*.f64 x 1/2)) -3/8)
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (cbrt.f64 9/64))
(/.f64 (.f64 (cbrt.f64 -8/3) (sin.f64 (.f64 x 1/2))) (cbrt.f64 9/64))
(/.f64 (.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 -8/3)) 1) (cbrt.f64 9/64))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 -8/3)) 1) (cbrt.f64 9/64))
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 -3/8)) (neg.f64 (cbrt.f64 9/64)))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 -8/3))) (neg.f64 (cbrt.f64 9/64)))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3)) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 3) 1/3)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 1)
(neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(neg.f64 (.f64 -1 (.f64 (sin.f64 (*.f64 x 1/2)) -8/3)))
(neg.f64 (.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1))
(neg.f64 (.f64 (.f64 (sin.f64 (*.f64 x 1/2)) -8/3) -1))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 3))

Outputs
-1/2
(-.f64 (*.f64 -1/16 (pow.f64 x 2)) 1/2)
(fma.f64 -1/16 (*.f64 x x) (neg.f64 1/2))
(-.f64 (+.f64 (.f64 -1/16 (pow.f64 x 2)) (.f64 -5/768 (pow.f64 x 4))) 1/2)
(-.f64 (fma.f64 -1/16 (.f64 x x) (.f64 -5/768 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (.f64 -1/16 (pow.f64 x 2)) (+.f64 (.f64 -61/92160 (pow.f64 x 6)) (*.f64 -5/768 (pow.f64 x 4)))) 1/2)
(-.f64 (fma.f64 -1/16 (.f64 x x) (fma.f64 -61/92160 (pow.f64 x 6) (.f64 -5/768 (pow.f64 x 4)))) 1/2)
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 -4/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 -4/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 -4/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 -1/1440 (pow.f64 x 5)) (*.f64 -4/3 x)))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 -1/1440 (pow.f64 x 5) (*.f64 -4/3 x)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 -1/1440 (pow.f64 x 5)) (+.f64 (.f64 -4/3 x) (.f64 1/241920 (pow.f64 x 7)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 -1/1440 (pow.f64 x 5) (fma.f64 -4/3 x (*.f64 1/241920 (pow.f64 x 7)))))
(.f64 -8/3 (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(.f64 -8/3 (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(.f64 -8/3 (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(.f64 -8/3 (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(.f64 -8/3 (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(.f64 -8/3 (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(.f64 -8/3 (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(.f64 -8/3 (sin.f64 (.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 1 (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (sin.f64 (.f64 1/2 x)) 0) (/.f64 1 (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))) (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 0) (/.f64 1 (/.f64 1 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))) 0) (pow.f64 (/.f64 (neg.f64 1) (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))) -1) (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 1 0) (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 1 0) (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))) (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 (/.f64 1 (sin.f64 x)) 0) (/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (/.f64 1 (sin.f64 x)))) (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (/.f64 1 (sin.f64 x)) 0) (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 1 (/.f64 1 (sin.f64 x))))) (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)) 0) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)))) (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x)) 0) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 1/2 x)))) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x)))) (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 (/.f64 -1 (sin.f64 x)) 0) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (/.f64 -1 (sin.f64 x)))) (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (/.f64 -1 (sin.f64 x)) 0) (/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 1 (/.f64 -1 (sin.f64 x)))) (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (sin.f64 (.f64 1/2 x)) 0) (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (sin.f64 (.f64 1/2 x)))) (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) 0) (/.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x))) (/.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) 0) (/.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x))) (/.f64 1 (/.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))) (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 0) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 2) (/.f64 1 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))) (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))) 0) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))) 2) (/.f64 1 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))))) (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 2))) (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))) 2))) (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x))) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x))))) (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (neg.f64 (sin.f64 x))) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (neg.f64 (sin.f64 x))))) (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 0) (/.f64 -1 (/.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)) 0) (/.f64 -1 (/.f64 1 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))) (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 -1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (sin.f64 (.f64 1/2 x)) 0) (/.f64 -1 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x)))) (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (neg.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 (neg.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)))) (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) 0) (/.f64 1 (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) 0) (/.f64 1 (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))) (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) 0) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 1/2 x)))) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)))) (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (neg.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (/.f64 (neg.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 (.f64 1/2 x))))) (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 0) (/.f64 1 (pow.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) -1)) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))) 0) (pow.f64 (/.f64 (neg.f64 1) (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))) -1) (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (neg.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 (neg.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)))) (neg.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))))
(-.f64 (/.f64 0 (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(-.f64 0 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 1/2 x)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))) (sin.f64 x))
(.f64 -1 (/.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) -1))
(/.f64 (sin.f64 (*.f64 1/2 x)) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) -1) -1)
(/.f64 (sin.f64 (*.f64 1/2 x)) (neg.f64 (sin.f64 x)))
(.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x))) -1))
(.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 1/2 x)))) (/.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (neg.f64 (sin.f64 x))) -1))
(.f64 (/.f64 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) -1) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2) -1))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (neg.f64 (sin.f64 x))) (neg.f64 -1))
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(if (!=.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 -3/8 (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 (*.f64 x 1/2)) -8/3))
(if (!=.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (/.f64 -3/8 (cbrt.f64 (sin.f64 (.f64 1/2 x))))) (.f64 (sin.f64 (*.f64 1/2 x)) -8/3))
(if (!=.f64 1 0) (.f64 (sin.f64 (.f64 x 1/2)) -8/3) (.f64 (sin.f64 (.f64 x 1/2)) -8/3))
(if (!=.f64 1 0) (.f64 (sin.f64 (.f64 1/2 x)) -8/3) (.f64 (sin.f64 (.f64 1/2 x)) -8/3))
(if (!=.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 0) (/.f64 1 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) -1)) (.f64 (sin.f64 (.f64 x 1/2)) -8/3))
(if (!=.f64 (.f64 (sin.f64 (.f64 1/2 x)) -8/3) 0) (pow.f64 (/.f64 1 (.f64 (sin.f64 (.f64 1/2 x)) -8/3)) -1) (.f64 (sin.f64 (.f64 1/2 x)) -8/3))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 -3/8 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (.f64 (sin.f64 (*.f64 x 1/2)) -8/3))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 -3/8 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)))) (.f64 (sin.f64 (*.f64 1/2 x)) -8/3))
(-.f64 (/.f64 0 3/8) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 8/3))
(-.f64 0 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 8/3))
(.f64 -1 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 8/3))
(.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (*.f64 x 1/2)) -8/3) 2)))
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(.f64 1 (.f64 (sin.f64 (*.f64 x 1/2)) -8/3))
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) -8/3) 1)
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(.f64 (sin.f64 (.f64 x 1/2)) -8/3)
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 2)) (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) -8/3)))
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(.f64 -8/3 (sin.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -8/3))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) -8/3))
(.f64 (cbrt.f64 -8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 9/64)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 -8/3)) (cbrt.f64 9/64))
(.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) -8/3) (cbrt.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) -8/3))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 9/64)) (cbrt.f64 -8/3))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 -8/3)) (cbrt.f64 9/64))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 -8/3)) (cbrt.f64 (.f64 -8/3 -8/3)))
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(.f64 (cbrt.f64 -8/3) (.f64 (cbrt.f64 (.f64 -8/3 -8/3)) (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(.f64 (cbrt.f64 -8/3) (.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 9/64)) 1))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 -8/3)) (cbrt.f64 9/64))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 -8/3)) (/.f64 1 (cbrt.f64 9/64)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 -8/3)) (cbrt.f64 9/64))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) 8/3)
(.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 8/3))
(.f64 8/3 (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 8/3))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (*.f64 8/3 1))
(.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 8/3))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 2)) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 -3/8))
(/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (.f64 (sin.f64 (.f64 1/2 x)) -8/3) 2))) (cbrt.f64 -3/8))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 2)) (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 3/8))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 x)) -8/3) 2) (neg.f64 (sin.f64 (.f64 1/2 x))))) (cbrt.f64 3/8))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 1)
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 2))) (cbrt.f64 -3/8))
(/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 x)) (pow.f64 (.f64 (sin.f64 (.f64 1/2 x)) -8/3) 2))) (cbrt.f64 -3/8))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 2))) (cbrt.f64 3/8))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 x)) -8/3) 2) (neg.f64 (sin.f64 (.f64 1/2 x))))) (cbrt.f64 3/8))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 -8/3)) (cbrt.f64 (cbrt.f64 9/64))) (pow.f64 (cbrt.f64 (cbrt.f64 9/64)) 2))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 -8/3)) (cbrt.f64 (cbrt.f64 9/64))) (pow.f64 (cbrt.f64 (cbrt.f64 9/64)) 2))
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 3/8)) (sqrt.f64 3/8))
(neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) 3/8))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 9/64)) (cbrt.f64 -3/8))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 9/64)) (cbrt.f64 -3/8))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 3/8)
(neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) 3/8))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 -8/3)) (cbrt.f64 9/64))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 -8/3)) (cbrt.f64 9/64))
(/.f64 (sin.f64 (*.f64 x 1/2)) -3/8)
(/.f64 (sin.f64 (*.f64 1/2 x)) -3/8)
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (cbrt.f64 9/64))
(/.f64 (cbrt.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 x)) -8/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))) (cbrt.f64 9/64))
(/.f64 (.f64 (cbrt.f64 -8/3) (sin.f64 (.f64 x 1/2))) (cbrt.f64 9/64))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 -8/3)) (cbrt.f64 9/64))
(/.f64 (.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 -8/3)) 1) (cbrt.f64 9/64))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 -8/3)) (cbrt.f64 9/64))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 -8/3)) 1) (cbrt.f64 9/64))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 -8/3)) (cbrt.f64 9/64))
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 -3/8)) (neg.f64 (cbrt.f64 9/64)))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 -3/8))) (neg.f64 (cbrt.f64 9/64)))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 -8/3))) (neg.f64 (cbrt.f64 9/64)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 -8/3)) (cbrt.f64 9/64))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3)) 3)
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 3) 1/3)
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 1)
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)
(neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 8/3))
(neg.f64 (.f64 -1 (.f64 (sin.f64 (*.f64 x 1/2)) -8/3)))
(neg.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 x)) -8/3)))
(neg.f64 (.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1))
(.f64 (sin.f64 (.f64 1/2 x)) (neg.f64 8/3))
(neg.f64 (.f64 (.f64 (sin.f64 (*.f64 x 1/2)) -8/3) -1))
(neg.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 x)) -8/3)))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3) 3))
(.f64 (sin.f64 (.f64 1/2 x)) -8/3)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 2/3 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 2/3 x)
1.0ms	x	@	inf	(*.f64 2/3 x)
1.0ms	x	@	0	(*.f64 2/3 x)

Compiler

Compiled 10 to 10 computations (0% saved)

rewrite85.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

71× egg-rr

Counts

1 → 71

Calls

Call 1

Inputs
(*.f64 2/3 x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 1/3) (.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 2/3 x) 1/2) (.f64 (.f64 2/3 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 x) (.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 2/3 x)) (.f64 1/2 (.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 2/3 x)) (cbrt.f64 (.f64 4/9 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 4/9 (.f64 x x))) (cbrt.f64 (.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 8/27 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 8/27 (.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 8/27 (.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 (cbrt.f64 (.f64 8/27 (.f64 x x))) (.f64 4/9 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (cbrt.f64 (.f64 8/27 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 8/27 (.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 2/3)) (sqrt.f64 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2/3) (.f64 x (sqrt.f64 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 2/3) (.f64 (cbrt.f64 4/9) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 (.f64 8/27 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 4/9) x) (cbrt.f64 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (sqrt.f64 2/3)) (cbrt.f64 (sqrt.f64 2/3))) (cbrt.f64 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sqrt.f64 2/3))) (sqrt.f64 (sqrt.f64 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (cbrt.f64 (.f64 2/3 x)))) (cbrt.f64 (cbrt.f64 (.f64 4/9 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 2/3)) (.f64 (cbrt.f64 2/3) (.f64 x (sqrt.f64 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 2/3)) (.f64 (.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sqrt.f64 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 2/3)) (.f64 (cbrt.f64 (cbrt.f64 4/9)) (.f64 (cbrt.f64 4/9) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 2/3)) (.f64 (.f64 (cbrt.f64 4/9) x) (cbrt.f64 (sqrt.f64 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 4/9 (.f64 x x)))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 16/81))) (.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 8/27 x) (cbrt.f64 (.f64 x x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 2/3 x) (cbrt.f64 (.f64 4/9 (.f64 x x))))) (cbrt.f64 (.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 16/81)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (cbrt.f64 2/3)) (cbrt.f64 (cbrt.f64 4/9))) (cbrt.f64 (cbrt.f64 16/81)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 2/3) (.f64 x (sqrt.f64 2/3))) (cbrt.f64 (sqrt.f64 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (cbrt.f64 4/9)) (.f64 (cbrt.f64 4/9) x)) (cbrt.f64 (cbrt.f64 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x x)) 2)) (cbrt.f64 (.f64 (.f64 8/27 x) (cbrt.f64 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 16/81)))) (cbrt.f64 (.f64 (.f64 2/3 x) (cbrt.f64 (.f64 4/9 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 16/81)) (.f64 (.f64 x (cbrt.f64 2/3)) (cbrt.f64 (cbrt.f64 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 2/3) (.f64 (.f64 x (sqrt.f64 2/3)) (cbrt.f64 (sqrt.f64 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 16/81))) (.f64 2/3 x))) (cbrt.f64 (cbrt.f64 (.f64 4/9 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (cbrt.f64 4/9) x) (cbrt.f64 (sqrt.f64 2/3))) (cbrt.f64 (sqrt.f64 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 4/9 (.f64 x x)))) (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (cbrt.f64 (.f64 2/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 2/3)) (.f64 (.f64 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3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 2/3 x) 3))))))

Outputs

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x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 8/27 (*.f64 x x))) (*.f64 4/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 4/9 (*.f64 x x)) (cbrt.f64 (*.f64 8/27 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 8/27 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2/3) (*.f64 x (sqrt.f64 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2/3) (*.f64 (cbrt.f64 4/9) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 4/9 (*.f64 x x)) (*.f64 x (sqrt.f64 2/3)))) (cbrt.f64 (sqrt.f64 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 8/27 x))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 4/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 8/27 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))) (cbrt.f64 (*.f64 (*.f64 4/9 (*.f64 x x)) (cbrt.f64 (*.f64 4/9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 2/3)) (cbrt.f64 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 8/27 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 4/9) (*.f64 x (cbrt.f64 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 4/9 (*.f64 x x)) (cbrt.f64 (*.f64 4/9 (*.f64 x x))))) (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2/3 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/3 x) 3))))))

simplify148.0ms (0.5%)

Algorithm

1×

egglog

Counts

71 → 72

Calls

Call 1

Inputs
(+.f64 (.f64 x 1/3) (.f64 x 1/3))
(+.f64 (.f64 (.f64 2/3 x) 1/2) (.f64 (.f64 2/3 x) 1/2))
(+.f64 (.f64 1/3 x) (.f64 1/3 x))
(+.f64 (.f64 1/2 (.f64 2/3 x)) (.f64 1/2 (.f64 2/3 x)))
(.f64 (cbrt.f64 (.f64 2/3 x)) (cbrt.f64 (.f64 4/9 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 4/9 (.f64 x x))) (cbrt.f64 (.f64 2/3 x)))
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 8/27 (*.f64 x x)))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 8/27 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 8/27 (.f64 x x)))) 1))
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 (cbrt.f64 (.f64 8/27 (.f64 x x))) (.f64 4/9 (.f64 x x)))))
(.f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (cbrt.f64 (*.f64 8/27 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(.f64 (cbrt.f64 (.f64 8/27 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 x (sqrt.f64 2/3)) (sqrt.f64 2/3))
(.f64 (sqrt.f64 2/3) (.f64 x (sqrt.f64 2/3)))
(.f64 1 (.f64 2/3 x))
(.f64 (.f64 2/3 x) 1)
(*.f64 2/3 x)
(*.f64 x 2/3)
(.f64 (cbrt.f64 2/3) (.f64 (cbrt.f64 4/9) x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 8/27 (*.f64 x x))))
(.f64 (.f64 (cbrt.f64 4/9) x) (cbrt.f64 2/3))
(.f64 (.f64 (*.f64 x (sqrt.f64 2/3)) (cbrt.f64 (sqrt.f64 2/3))) (cbrt.f64 2/3))
(.f64 (.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sqrt.f64 2/3))) (sqrt.f64 (sqrt.f64 2/3)))
(.f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (cbrt.f64 (.f64 2/3 x)))) (cbrt.f64 (cbrt.f64 (.f64 4/9 (*.f64 x x)))))
(.f64 (cbrt.f64 (sqrt.f64 2/3)) (.f64 (cbrt.f64 2/3) (*.f64 x (sqrt.f64 2/3))))
(.f64 (sqrt.f64 (sqrt.f64 2/3)) (.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sqrt.f64 2/3))))
(.f64 (cbrt.f64 (cbrt.f64 2/3)) (.f64 (cbrt.f64 (cbrt.f64 4/9)) (*.f64 (cbrt.f64 4/9) x)))
(.f64 (cbrt.f64 (sqrt.f64 2/3)) (.f64 (*.f64 (cbrt.f64 4/9) x) (cbrt.f64 (sqrt.f64 2/3))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4/9 (.f64 x x)))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 16/81))) (*.f64 2/3 x))))
(.f64 (cbrt.f64 (.f64 (.f64 8/27 x) (cbrt.f64 (.f64 x x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 (.f64 2/3 x) (cbrt.f64 (.f64 4/9 (.f64 x x))))) (cbrt.f64 (.f64 (cbrt.f64 x) (*.f64 x (cbrt.f64 16/81)))))
(.f64 (.f64 (*.f64 x (cbrt.f64 2/3)) (cbrt.f64 (cbrt.f64 4/9))) (cbrt.f64 (cbrt.f64 16/81)))
(.f64 (.f64 (cbrt.f64 2/3) (*.f64 x (sqrt.f64 2/3))) (cbrt.f64 (sqrt.f64 2/3)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 4/9)) (*.f64 (cbrt.f64 4/9) x)) (cbrt.f64 (cbrt.f64 2/3)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x x)) 2)) (cbrt.f64 (.f64 (.f64 8/27 x) (cbrt.f64 (*.f64 x x)))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 16/81)))) (cbrt.f64 (.f64 (.f64 2/3 x) (cbrt.f64 (.f64 4/9 (*.f64 x x))))))
(.f64 (cbrt.f64 (cbrt.f64 16/81)) (.f64 (*.f64 x (cbrt.f64 2/3)) (cbrt.f64 (cbrt.f64 4/9))))
(.f64 (cbrt.f64 2/3) (.f64 (*.f64 x (sqrt.f64 2/3)) (cbrt.f64 (sqrt.f64 2/3))))
(.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 16/81))) (.f64 2/3 x))) (cbrt.f64 (cbrt.f64 (.f64 4/9 (*.f64 x x)))))
(.f64 (.f64 (*.f64 (cbrt.f64 4/9) x) (cbrt.f64 (sqrt.f64 2/3))) (cbrt.f64 (sqrt.f64 2/3)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4/9 (.f64 x x)))) (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (cbrt.f64 (*.f64 2/3 x)))))
(.f64 (cbrt.f64 (sqrt.f64 2/3)) (.f64 (.f64 (cbrt.f64 2/3) (.f64 x (sqrt.f64 2/3))) 1))
(.f64 (cbrt.f64 (cbrt.f64 2/3)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 4/9)) (.f64 (cbrt.f64 4/9) x)) 1))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4/9 (.f64 x x)))) (.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 16/81))) (.f64 2/3 x))) 1))
(.f64 (sqrt.f64 (sqrt.f64 2/3)) (.f64 (.f64 (.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sqrt.f64 2/3))) 1))
(.f64 (cbrt.f64 (sqrt.f64 2/3)) (.f64 (.f64 (.f64 (cbrt.f64 4/9) x) (cbrt.f64 (sqrt.f64 2/3))) 1))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 2/3))) (cbrt.f64 (.f64 (cbrt.f64 4/9) (.f64 4/9 (*.f64 x x)))))
(.f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (*.f64 x (cbrt.f64 2/3)))) (cbrt.f64 (cbrt.f64 4/9)))
(.f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (sqrt.f64 2/3))) (cbrt.f64 (*.f64 x (sqrt.f64 2/3))))
(.f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (cbrt.f64 2/3))) (cbrt.f64 (*.f64 (cbrt.f64 4/9) x)))
(.f64 (cbrt.f64 (cbrt.f64 2/3)) (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (*.f64 (cbrt.f64 4/9) x))))
(.f64 (cbrt.f64 (sqrt.f64 2/3)) (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (*.f64 x (sqrt.f64 2/3)))))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 2/3))) (cbrt.f64 (.f64 (.f64 4/9 (*.f64 x x)) (sqrt.f64 2/3))))
(.f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (.f64 8/27 (.f64 x x)))))
(.f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (*.f64 x (sqrt.f64 2/3)))) (cbrt.f64 (sqrt.f64 2/3)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 8/27 x))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 4/9 (.f64 x x)))))
(.f64 (cbrt.f64 (.f64 8/27 x)) (cbrt.f64 (*.f64 x x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2/3 x))) (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (cbrt.f64 (.f64 4/9 (*.f64 x x))))))
(.f64 (.f64 x (cbrt.f64 2/3)) (cbrt.f64 4/9))
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 8/27 x)))
(.f64 (cbrt.f64 4/9) (.f64 x (cbrt.f64 2/3)))
(.f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (cbrt.f64 (.f64 4/9 (.f64 x x))))) (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))))
(/.f64 (*.f64 2/3 x) 1)
(/.f64 (*.f64 x 2) 3)
(/.f64 (.f64 (.f64 2/3 x) 2) 2)
(/.f64 (*.f64 2 x) 3)
(/.f64 (.f64 2 (.f64 2/3 x)) 2)
(pow.f64 (*.f64 2/3 x) 1)
(pow.f64 (pow.f64 (*.f64 2/3 x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
(cbrt.f64 (pow.f64 (*.f64 2/3 x) 3))

Outputs
(+.f64 (.f64 x 1/3) (.f64 x 1/3))
(*.f64 2/3 x)
(+.f64 (.f64 (.f64 2/3 x) 1/2) (.f64 (.f64 2/3 x) 1/2))
(*.f64 2/3 x)
(+.f64 (.f64 1/3 x) (.f64 1/3 x))
(*.f64 2/3 x)
(+.f64 (.f64 1/2 (.f64 2/3 x)) (.f64 1/2 (.f64 2/3 x)))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 2/3 x)) (cbrt.f64 (.f64 4/9 (.f64 x x))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 4/9 (.f64 x x))) (cbrt.f64 (.f64 2/3 x)))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 8/27 (*.f64 x x)))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 8/27 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 8/27 (.f64 x x)))) 1))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 (cbrt.f64 (.f64 8/27 (.f64 x x))) (.f64 4/9 (.f64 x x)))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (cbrt.f64 (*.f64 8/27 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 8/27 (*.f64 x x))) (cbrt.f64 x))
(*.f64 2/3 x)
(.f64 (.f64 x (sqrt.f64 2/3)) (sqrt.f64 2/3))
(*.f64 2/3 x)
(.f64 (sqrt.f64 2/3) (.f64 x (sqrt.f64 2/3)))
(*.f64 2/3 x)
(.f64 1 (.f64 2/3 x))
(*.f64 2/3 x)
(.f64 (.f64 2/3 x) 1)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(.f64 (cbrt.f64 2/3) (.f64 (cbrt.f64 4/9) x))
(*.f64 2/3 x)
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 8/27 (*.f64 x x))))
(*.f64 2/3 x)
(.f64 (.f64 (cbrt.f64 4/9) x) (cbrt.f64 2/3))
(*.f64 2/3 x)
(.f64 (.f64 (*.f64 x (sqrt.f64 2/3)) (cbrt.f64 (sqrt.f64 2/3))) (cbrt.f64 2/3))
(*.f64 2/3 x)
(.f64 (.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sqrt.f64 2/3))) (sqrt.f64 (sqrt.f64 2/3)))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (cbrt.f64 (.f64 2/3 x)))) (cbrt.f64 (cbrt.f64 (.f64 4/9 (*.f64 x x)))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (sqrt.f64 2/3)) (.f64 (cbrt.f64 2/3) (*.f64 x (sqrt.f64 2/3))))
(*.f64 2/3 x)
(.f64 (sqrt.f64 (sqrt.f64 2/3)) (.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sqrt.f64 2/3))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (cbrt.f64 2/3)) (.f64 (cbrt.f64 (cbrt.f64 4/9)) (*.f64 (cbrt.f64 4/9) x)))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (sqrt.f64 2/3)) (.f64 (*.f64 (cbrt.f64 4/9) x) (cbrt.f64 (sqrt.f64 2/3))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4/9 (.f64 x x)))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 16/81))) (*.f64 2/3 x))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 (.f64 8/27 x) (cbrt.f64 (.f64 x x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) 2)))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 (.f64 2/3 x) (cbrt.f64 (.f64 4/9 (.f64 x x))))) (cbrt.f64 (.f64 (cbrt.f64 x) (*.f64 x (cbrt.f64 16/81)))))
(*.f64 2/3 x)
(.f64 (.f64 (*.f64 x (cbrt.f64 2/3)) (cbrt.f64 (cbrt.f64 4/9))) (cbrt.f64 (cbrt.f64 16/81)))
(*.f64 2/3 x)
(.f64 (.f64 (cbrt.f64 2/3) (*.f64 x (sqrt.f64 2/3))) (cbrt.f64 (sqrt.f64 2/3)))
(*.f64 2/3 x)
(.f64 (.f64 (cbrt.f64 (cbrt.f64 4/9)) (*.f64 (cbrt.f64 4/9) x)) (cbrt.f64 (cbrt.f64 2/3)))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x x)) 2)) (cbrt.f64 (.f64 (.f64 8/27 x) (cbrt.f64 (*.f64 x x)))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 16/81)))) (cbrt.f64 (.f64 (.f64 2/3 x) (cbrt.f64 (.f64 4/9 (*.f64 x x))))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (cbrt.f64 16/81)) (.f64 (*.f64 x (cbrt.f64 2/3)) (cbrt.f64 (cbrt.f64 4/9))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 2/3) (.f64 (*.f64 x (sqrt.f64 2/3)) (cbrt.f64 (sqrt.f64 2/3))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 16/81))) (.f64 2/3 x))) (cbrt.f64 (cbrt.f64 (.f64 4/9 (*.f64 x x)))))
(*.f64 2/3 x)
(.f64 (.f64 (*.f64 (cbrt.f64 4/9) x) (cbrt.f64 (sqrt.f64 2/3))) (cbrt.f64 (sqrt.f64 2/3)))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4/9 (.f64 x x)))) (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (cbrt.f64 (*.f64 2/3 x)))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (sqrt.f64 2/3)) (.f64 (.f64 (cbrt.f64 2/3) (.f64 x (sqrt.f64 2/3))) 1))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (cbrt.f64 2/3)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 4/9)) (.f64 (cbrt.f64 4/9) x)) 1))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4/9 (.f64 x x)))) (.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 16/81))) (.f64 2/3 x))) 1))
(*.f64 2/3 x)
(.f64 (sqrt.f64 (sqrt.f64 2/3)) (.f64 (.f64 (.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sqrt.f64 2/3))) 1))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (sqrt.f64 2/3)) (.f64 (.f64 (.f64 (cbrt.f64 4/9) x) (cbrt.f64 (sqrt.f64 2/3))) 1))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 2/3))) (cbrt.f64 (.f64 (cbrt.f64 4/9) (.f64 4/9 (*.f64 x x)))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (*.f64 x (cbrt.f64 2/3)))) (cbrt.f64 (cbrt.f64 4/9)))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 4/9 x) x) x) (cbrt.f64 2/3)) (cbrt.f64 4/9)))
(.f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (sqrt.f64 2/3))) (cbrt.f64 (*.f64 x (sqrt.f64 2/3))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (cbrt.f64 2/3))) (cbrt.f64 (*.f64 (cbrt.f64 4/9) x)))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (cbrt.f64 2/3)) (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (*.f64 (cbrt.f64 4/9) x))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (sqrt.f64 2/3)) (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (*.f64 x (sqrt.f64 2/3)))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 2/3))) (cbrt.f64 (.f64 (.f64 4/9 (*.f64 x x)) (sqrt.f64 2/3))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (.f64 8/27 (.f64 x x)))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (*.f64 x (sqrt.f64 2/3)))) (cbrt.f64 (sqrt.f64 2/3)))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 8/27 x))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 4/9 (.f64 x x)))))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 8/27 x)) (cbrt.f64 (*.f64 x x)))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2/3 x))) (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (cbrt.f64 (.f64 4/9 (*.f64 x x))))))
(*.f64 2/3 x)
(.f64 (.f64 x (cbrt.f64 2/3)) (cbrt.f64 4/9))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 8/27 x)))
(*.f64 2/3 x)
(.f64 (cbrt.f64 4/9) (.f64 x (cbrt.f64 2/3)))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 (.f64 4/9 (.f64 x x)) (cbrt.f64 (.f64 4/9 (.f64 x x))))) (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))))
(*.f64 2/3 x)
(/.f64 (*.f64 2/3 x) 1)
(*.f64 2/3 x)
(/.f64 (*.f64 x 2) 3)
(*.f64 2/3 x)
(/.f64 (.f64 (.f64 2/3 x) 2) 2)
(*.f64 2/3 x)
(/.f64 (*.f64 2 x) 3)
(*.f64 2/3 x)
(/.f64 (.f64 2 (.f64 2/3 x)) 2)
(*.f64 2/3 x)
(pow.f64 (*.f64 2/3 x) 1)
(*.f64 2/3 x)
(pow.f64 (pow.f64 (*.f64 2/3 x) 3) 1/3)
(*.f64 2/3 x)
(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
(*.f64 2/3 x)
(cbrt.f64 (pow.f64 (*.f64 2/3 x) 3))
(*.f64 2/3 x)

localize30.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 3/4)
✓	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	2.1b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series25.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

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

Compiler

Compiled 1130 to 830 computations (26.5% saved)

rewrite276.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

257×	`egg-rr`
146×	`egg-rr`
93×	`egg-rr`

Counts

3 → 496

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (cos.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (cos.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 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(fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (+.f64 1 (+.f64 (pow.f64 (pow.f64 (cos.f64 x) 3) 2) (pow.f64 (cos.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 3/4 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (*.f64 (*.f64 3/4 (sin.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 (*.f64 3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (cbrt.f64 4/3)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (cbrt.f64 9/16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) -1) (*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (sqrt.f64 4/3)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (sqrt.f64 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) 1) (*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 4/3) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x))) (*.f64 (sqrt.f64 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (*.f64 -3/4 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (neg.f64 (*.f64 (*.f64 3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 9/16)) (cbrt.f64 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (/.f64 4/3 (sin.f64 x))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 4/3)) (cbrt.f64 (cbrt.f64 9/16))) (pow.f64 (cbrt.f64 (cbrt.f64 9/16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 4/3 (neg.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))))))

simplify1.2s (4.5%)

Algorithm

1×

egglog

Counts

508 → 716

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 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1 1 (neg.f64 (cos.f64 x)))
(fma.f64 -1 (cos.f64 x) 1)
(fma.f64 1 (neg.f64 (cos.f64 x)) 1)
(fma.f64 0 3 (-.f64 1 (cos.f64 x)))
(fma.f64 0 0 (-.f64 1 (cos.f64 x)))
(fma.f64 0 1 (-.f64 1 (cos.f64 x)))
(fma.f64 1 0 (-.f64 1 (cos.f64 x)))
(fma.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) 1)
(fma.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (cos.f64 x) 2)) 1)
(fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (cos.f64 x) 2)) 1)
(if (!=.f64 1 0) (-.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 (neg.f64 (cos.f64 x)) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 2))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 0) (/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 0) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 -1 (/.f64 1 (+.f64 (cos.f64 x) -1))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 0) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (+.f64 1 (.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1))) 0) (.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1)))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (-.f64 (neg.f64 (cos.f64 x)) 1) 0) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 (neg.f64 (cos.f64 x)) 1)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (+.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) 0) (/.f64 (-.f64 (.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (+.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 (-.f64 0 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (+.f64 (cos.f64 x) -1)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 0) (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 3) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 3)) (+.f64 (.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (+.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (*.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 0 (+.f64 (cos.f64 x) -1))))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 3) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 3)) (+.f64 (.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (+.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (*.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 0 (+.f64 (cos.f64 x) -1))))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (+.f64 (.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (+.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 3) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 3)) (+.f64 (.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (+.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 0 (+.f64 (cos.f64 x) -1)))) 0) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 0 (+.f64 (cos.f64 x) -1))))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (+.f64 1 (cos.f64 x)) 0) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(if (!=.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 0) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (-.f64 1 (cos.f64 x)))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (*.f64 -1 -1) (neg.f64 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 -1 -1))
(+.f64 (neg.f64 -1) (neg.f64 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (neg.f64 -1))
(+.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 1 0) (cos.f64 x))
(-.f64 (neg.f64 (cos.f64 x)) -1)
(-.f64 (-.f64 0 -1) (cos.f64 x))
(-.f64 (/.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 1) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 1))
(-.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 1 (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 -1 -1) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) 2))
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(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -3/4)
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(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (cbrt.f64 4/3)) (.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (cbrt.f64 9/16)))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 4/3)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 9/16)))
(/.f64 (.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (cbrt.f64 4/3)) (*.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 9/16)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 4/3)) (.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 9/16)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -1) (.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) -3/4))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) -1) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) -3/4))
(/.f64 (.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) -1) (*.f64 (pow.f64 (sin.f64 x) 2) -3/4))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -1) (.f64 (cos.f64 (.f64 x 1/2)) -3/4))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 4/3)) (.f64 (neg.f64 (sin.f64 x)) (sqrt.f64 3/4)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 4/3)) (.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (sqrt.f64 3/4)))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (sqrt.f64 4/3)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 3/4)))
(/.f64 (.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (sqrt.f64 4/3)) (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 3/4)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) (.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 3/4)))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) 1) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3/4))
(/.f64 (.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1) (*.f64 (pow.f64 (sin.f64 x) 2) 3/4))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 1) (.f64 (cos.f64 (.f64 x 1/2)) 3/4))
(/.f64 (.f64 (cbrt.f64 4/3) (+.f64 (cos.f64 x) -1)) (.f64 (cbrt.f64 9/16) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (sqrt.f64 4/3) (+.f64 (cos.f64 x) -1)) (.f64 (sqrt.f64 3/4) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (cbrt.f64 4/3) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x))) (.f64 (cbrt.f64 9/16) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 -1 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x))) (.f64 -3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (cbrt.f64 4/3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (cbrt.f64 9/16) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (.f64 (sqrt.f64 4/3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (sqrt.f64 3/4) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (.f64 (cbrt.f64 4/3) (-.f64 1 (cos.f64 x))) (.f64 (cbrt.f64 9/16) (sin.f64 x)))
(/.f64 (.f64 (sqrt.f64 4/3) (-.f64 1 (cos.f64 x))) (.f64 (sqrt.f64 3/4) (sin.f64 x)))
(/.f64 (.f64 (cbrt.f64 4/3) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (.f64 (cbrt.f64 9/16) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (.f64 -3/4 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (.f64 (sqrt.f64 4/3) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (.f64 (sqrt.f64 3/4) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (.f64 (cbrt.f64 4/3) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (cbrt.f64 9/16) (pow.f64 (sin.f64 x) 2)))
(/.f64 (.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 -3/4 (pow.f64 (sin.f64 x) 2)))
(/.f64 (.f64 (sqrt.f64 4/3) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (sqrt.f64 3/4) (pow.f64 (sin.f64 x) 2)))
(/.f64 (.f64 (cbrt.f64 4/3) (sin.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 9/16) (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 -1 (sin.f64 (.f64 x 1/2))) (.f64 -3/4 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (sqrt.f64 4/3) (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 3/4) (cos.f64 (.f64 x 1/2))))
(/.f64 (neg.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 4/3))) (neg.f64 (cbrt.f64 9/16)))
(/.f64 (neg.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3))) (neg.f64 (sqrt.f64 3/4)))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4/3) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (sin.f64 x))
(/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 4/3)) (cbrt.f64 9/16))
(/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) (sqrt.f64 3/4))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 -3/4 (sin.f64 x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 3/4 (sin.f64 x)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (.f64 3/4 (sin.f64 x))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 -3/4))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 3/4))
(/.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 4/3)) (/.f64 1 (sin.f64 x))) (cbrt.f64 9/16))
(/.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 27/64))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) (sqrt.f64 3/4))
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) (/.f64 1 (sin.f64 x))) (sqrt.f64 3/4))
(/.f64 (.f64 (sqrt.f64 4/3) (tan.f64 (.f64 x 1/2))) (sqrt.f64 3/4))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 27/64)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (sin.f64 x))
(/.f64 (.f64 (cbrt.f64 4/3) (tan.f64 (.f64 x 1/2))) (cbrt.f64 9/16))
(/.f64 (.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2))) (cbrt.f64 9/16))
(/.f64 (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 4/3 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 4/3 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))) (cbrt.f64 (.f64 3/4 (sin.f64 x))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))) (cbrt.f64 -3/4))
(/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))) (cbrt.f64 3/4))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 9/16))) (cbrt.f64 3/4))
(/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (sqrt.f64 4/3))) (sqrt.f64 3/4))
(/.f64 (.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) 4/3)) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) 4/3)) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4/3) (sin.f64 x))
(/.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 4/3)) 1) (cbrt.f64 9/16))
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) 4/3) 1) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 4/3)) 1) (sqrt.f64 3/4))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 3/4))) (sqrt.f64 3/4))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 4/3) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4/3) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) 4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) 4/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 4/3 (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 4/3)) 1) (cbrt.f64 9/16))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (.f64 3/4 (sin.f64 x)))) (pow.f64 (cbrt.f64 (.f64 3/4 (sin.f64 x))) 2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 27/64 (sin.f64 x)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 3/4 (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) 1) (sqrt.f64 3/4))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) (sqrt.f64 (sqrt.f64 3/4))) (sqrt.f64 (sqrt.f64 3/4)))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) (cbrt.f64 (sqrt.f64 3/4))) (cbrt.f64 3/4))
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4/3) (cbrt.f64 (neg.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2))
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4/3) (cbrt.f64 (sin.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4/3) 1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4/3) (neg.f64 (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4/3) -1) (sin.f64 x))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 3/4)) (neg.f64 (cbrt.f64 9/16)))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 -3/4)) (cbrt.f64 9/16))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 3/4)) (neg.f64 (sqrt.f64 3/4)))
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (neg.f64 (sin.f64 x)) 4/3))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4/3))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 -3/4 (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (.f64 (.f64 -3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (.f64 (.f64 (*.f64 3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (+.f64 1 (+.f64 (pow.f64 (pow.f64 (cos.f64 x) 3) 2) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 3/4 (pow.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (.f64 (.f64 3/4 (sin.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) -3/4))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 (*.f64 3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 1))
(/.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (cbrt.f64 4/3)) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (cbrt.f64 9/16)))
(/.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) -1) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) -3/4))
(/.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (sqrt.f64 4/3)) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (sqrt.f64 3/4)))
(/.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) 1) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 3/4))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 3/4))
(/.f64 (.f64 (sqrt.f64 4/3) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x))) (.f64 (sqrt.f64 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (.f64 -3/4 (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (neg.f64 (.f64 (.f64 3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 9/16)) (cbrt.f64 3/4))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (/.f64 4/3 (sin.f64 x))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 4/3)) (cbrt.f64 (cbrt.f64 9/16))) (pow.f64 (cbrt.f64 (cbrt.f64 9/16)) 2))
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 3)
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(neg.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))
(neg.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1))
(neg.f64 (.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) 4/3))
(neg.f64 (.f64 4/3 (neg.f64 (tan.f64 (.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 3))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.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))))
(fma.f64 1/2 (.f64 x x) (fma.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)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.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)))
(fma.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))))
(fma.f64 1/2 x (fma.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)))))
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(/.f64 (.f64 (sqrt.f64 4/3) (tan.f64 (.f64 x 1/2))) (sqrt.f64 3/4))
(/.f64 (.f64 (tan.f64 (.f64 1/2 x)) (sqrt.f64 4/3)) (sqrt.f64 3/4))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 27/64)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (sin.f64 x))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 27/64) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (sin.f64 x))
(/.f64 (.f64 (cbrt.f64 4/3) (tan.f64 (.f64 x 1/2))) (cbrt.f64 9/16))
(/.f64 (.f64 (tan.f64 (.f64 1/2 x)) (cbrt.f64 4/3)) (cbrt.f64 9/16))
(/.f64 (.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2))) (cbrt.f64 9/16))
(/.f64 (cbrt.f64 (.f64 (.f64 (tan.f64 (.f64 1/2 x)) 4/3) (pow.f64 (tan.f64 (.f64 1/2 x)) 2))) (cbrt.f64 9/16))
(/.f64 (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 4/3 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (pow.f64 (sin.f64 x) 2))
(/.f64 (.f64 (.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 4/3 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (.f64 4/3 (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))) (cbrt.f64 (.f64 3/4 (sin.f64 x))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (tan.f64 (.f64 1/2 x)) 4/3) 2) (-.f64 1 (cos.f64 x)))) (cbrt.f64 (.f64 3/4 (sin.f64 x))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))) (cbrt.f64 -3/4))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (tan.f64 (.f64 1/2 x)) 4/3) 2) (neg.f64 (tan.f64 (.f64 1/2 x))))) (cbrt.f64 -3/4))
(/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))) (cbrt.f64 3/4))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (tan.f64 (.f64 1/2 x)) 4/3) 2) (tan.f64 (.f64 1/2 x)))) (cbrt.f64 3/4))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 9/16))) (cbrt.f64 3/4))
(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (cbrt.f64 9/16)) (cbrt.f64 3/4))
(/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (sqrt.f64 4/3))) (sqrt.f64 3/4))
(/.f64 (.f64 (tan.f64 (.f64 1/2 x)) (sqrt.f64 4/3)) (sqrt.f64 3/4))
(/.f64 (.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) 4/3)) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2) (+.f64 (cos.f64 x) -1))) 4/3) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) 4/3)) (cbrt.f64 (sin.f64 x)))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2) (-.f64 1 (cos.f64 x)))) 4/3) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4/3) (sin.f64 x))
(/.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 4/3)) 1) (cbrt.f64 9/16))
(/.f64 (.f64 (tan.f64 (.f64 1/2 x)) (cbrt.f64 4/3)) (cbrt.f64 9/16))
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) 4/3) 1) (neg.f64 (sin.f64 x)))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 4/3)) 1) (sqrt.f64 3/4))
(/.f64 (.f64 (tan.f64 (.f64 1/2 x)) (sqrt.f64 4/3)) (sqrt.f64 3/4))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 3/4))) (sqrt.f64 3/4))
(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 3/4)) (sqrt.f64 3/4))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 4/3) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4/3) (pow.f64 (sin.f64 x) 2))
(/.f64 (.f64 (.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) 4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (.f64 4/3 (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) 4/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 4/3 (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 4/3)) 1) (cbrt.f64 9/16))
(/.f64 (.f64 (tan.f64 (.f64 1/2 x)) (cbrt.f64 4/3)) (cbrt.f64 9/16))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (.f64 3/4 (sin.f64 x)))) (pow.f64 (cbrt.f64 (.f64 3/4 (sin.f64 x))) 2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 27/64 (sin.f64 x)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (.f64 27/64 (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 3/4 (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) 1) (sqrt.f64 3/4))
(/.f64 (.f64 (tan.f64 (.f64 1/2 x)) (sqrt.f64 4/3)) (sqrt.f64 3/4))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) (sqrt.f64 (sqrt.f64 3/4))) (sqrt.f64 (sqrt.f64 3/4)))
(/.f64 (.f64 (tan.f64 (.f64 1/2 x)) (sqrt.f64 4/3)) (sqrt.f64 3/4))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) (cbrt.f64 (sqrt.f64 3/4))) (cbrt.f64 3/4))
(/.f64 (.f64 (tan.f64 (.f64 1/2 x)) (sqrt.f64 4/3)) (*.f64 (cbrt.f64 3/4) (cbrt.f64 (sqrt.f64 3/4))))
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4/3) (cbrt.f64 (neg.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2))
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4/3) (cbrt.f64 (sin.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4/3) 1) (neg.f64 (sin.f64 x)))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4/3) (neg.f64 (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) 4/3) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (cbrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4/3) -1) (sin.f64 x))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 3/4)) (neg.f64 (cbrt.f64 9/16)))
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (cbrt.f64 3/4))) (neg.f64 (cbrt.f64 9/16)))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 -3/4)) (cbrt.f64 9/16))
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (cbrt.f64 -3/4))) (cbrt.f64 9/16))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 3/4)) (neg.f64 (sqrt.f64 3/4)))
(/.f64 (neg.f64 (tan.f64 (.f64 1/2 x))) (.f64 (sqrt.f64 3/4) (neg.f64 (sqrt.f64 3/4))))
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (neg.f64 (sin.f64 x)) 4/3))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4/3))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 -3/4 (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 -3/4 (sin.f64 x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (.f64 (.f64 -3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (.f64 (.f64 (*.f64 3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (+.f64 1 (+.f64 (pow.f64 (pow.f64 (cos.f64 x) 3) 2) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (.f64 (.f64 3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (+.f64 1 (+.f64 (pow.f64 (pow.f64 (cos.f64 x) 3) 2) (pow.f64 (cos.f64 x) 3))))
(/.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 3/4 (pow.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 3/4) (pow.f64 (sin.f64 x) 2))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (*.f64 3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (.f64 (.f64 3/4 (sin.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (.f64 3/4 (.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) -3/4))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 -3/4 (sin.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 (*.f64 3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (cbrt.f64 4/3)) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (cbrt.f64 9/16)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (cbrt.f64 4/3)) (.f64 (*.f64 (cbrt.f64 9/16) (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) -1) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) -3/4))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x))) (*.f64 -3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (sqrt.f64 4/3)) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (sqrt.f64 3/4)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 4/3)) (.f64 (*.f64 (sqrt.f64 3/4) (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) 1) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 3/4))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 3/4))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (sqrt.f64 4/3) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x))) (.f64 (sqrt.f64 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 4/3)) (.f64 (*.f64 (sqrt.f64 3/4) (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (.f64 -3/4 (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (.f64 (.f64 -3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (neg.f64 (.f64 (.f64 3/4 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (.f64 3/4 (.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 9/16)) (cbrt.f64 3/4))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 (cbrt.f64 3/4) (cbrt.f64 9/16)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (/.f64 4/3 (sin.f64 x))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 4/3)) (cbrt.f64 (cbrt.f64 9/16))) (pow.f64 (cbrt.f64 (cbrt.f64 9/16)) 2))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 1/2 x)) (cbrt.f64 4/3)) (cbrt.f64 (cbrt.f64 9/16))) (pow.f64 (cbrt.f64 (cbrt.f64 9/16)) 2))
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 3) 1/3)
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 3)
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(neg.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))
(.f64 (tan.f64 (.f64 1/2 x)) (neg.f64 -4/3))
(neg.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1))
(.f64 (tan.f64 (.f64 1/2 x)) (neg.f64 -4/3))
(neg.f64 (.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) 4/3))
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(neg.f64 (.f64 4/3 (neg.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 3))
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 (*.f64 x 1/2))
	0.2b	(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
✓	0.4b	(/.f64 8/3 (sin.f64 x))
✓	17.0b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))

Compiler

Compiled 35 to 25 computations (28.6% saved)

series13.0ms (0%)

Counts

2 → 5

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 8/3 (sin.f64 x))
0.0ms	x	@	-inf	(/.f64 8/3 (sin.f64 x))
0.0ms	x	@	0	(/.f64 8/3 (sin.f64 x))
0.0ms	x	@	0	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
0.0ms	x	@	inf	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))

Compiler

Compiled 930 to 715 computations (23.1% saved)

rewrite177.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

147×	`egg-rr`
105×	`egg-rr`

Counts

2 → 252

Calls

Call 1

Inputs
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (sin.f64 x))

Outputs

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simplify502.0ms (1.8%)

Algorithm

1×

egglog

Counts

257 → 340

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
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(*.f64 (/.f64 (cbrt.f64 -8/3) (cbrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 64/9) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)))))
(/.f64 -8/3 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 -1 (neg.f64 (/.f64 (sin.f64 x) 8/3)))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 512/27 (sin.f64 x)))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 -8/3 (neg.f64 (sin.f64 x)))
(/.f64 (cbrt.f64 (/.f64 512/27 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 8/3 (sin.f64 x))
(/.f64 1 (/.f64 (sin.f64 x) 8/3))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 8/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 512/27) (sin.f64 x))) (sqrt.f64 8/3)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 64/9)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 8/3 (sin.f64 x)) 1)
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2)) (cbrt.f64 -8/3)) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2)) (cbrt.f64 8/3)) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 512/27 (sin.f64 x))) 1) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 -8/3) (cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 -8/3 (cbrt.f64 (neg.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2))
(/.f64 (/.f64 -8/3 (cbrt.f64 (sin.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 512/27 (sin.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2) 2))
(/.f64 (/.f64 (cbrt.f64 (/.f64 512/27 (sin.f64 x))) 1) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) 8/3))
(pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)
(pow.f64 (/.f64 8/3 (sin.f64 x)) 1)
(pow.f64 (/.f64 (sin.f64 x) 8/3) -1)
(pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3)
(neg.f64 (/.f64 -8/3 (sin.f64 x)))
(neg.f64 (*.f64 (/.f64 -8/3 (sin.f64 x)) 1))
(neg.f64 (*.f64 -8/3 (/.f64 1 (sin.f64 x))))
(neg.f64 (*.f64 (/.f64 1 (sin.f64 x)) -8/3))
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(/.f64 8/3 x)
(if (!=.f64 8/3 0) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 8/3 0) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(if (!=.f64 -8/3 0) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 -8/3 0) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (.f64 x 1/2)))) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (.f64 x 1/2)))) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (.f64 x 1/2))) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) 8/3) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (.f64 x 1/2))))) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (.f64 x 1/2))) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) 8/3) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 (.f64 x 1/2))))) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)))) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)))) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(if (!=.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 0) (/.f64 1 (/.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 0) (/.f64 1 (/.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(if (!=.f64 1 0) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 1 0) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(if (!=.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 0) (/.f64 -8/3 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 0) (/.f64 -8/3 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(if (!=.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) 0) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) 0) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)))) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) 8/3) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (sin.f64 x) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) 8/3))) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) 8/3) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)))) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(if (!=.f64 (sqrt.f64 8/3) 0) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sqrt.f64 8/3)) (/.f64 (sin.f64 x) (sqrt.f64 8/3))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (sqrt.f64 8/3) 0) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sqrt.f64 8/3)) (/.f64 (sin.f64 x) (sqrt.f64 8/3))) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(if (!=.f64 (cbrt.f64 64/9) 0) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 8/3)) (/.f64 (sin.f64 x) (cbrt.f64 64/9))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (cbrt.f64 64/9) 0) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 8/3)) (/.f64 (sin.f64 x) (cbrt.f64 64/9))) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(if (!=.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 0) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 0) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (.f64 x 1/2)))) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(if (!=.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) 0) (/.f64 1 (/.f64 (sin.f64 x) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) 0) (/.f64 1 (/.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(if (!=.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 0) (/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 0) (/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3)) 2) 0) (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3)) 2))) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (!=.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3)) 2) 0) (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3)) 2))) (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(-.f64 (/.f64 1/2 (/.f64 (sin.f64 x) 8/3)) (/.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2)))) (/.f64 (sin.f64 x) 8/3)))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))
(-.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3)))
(-.f64 (/.f64 8/3 (sin.f64 x)) (.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(.f64 1 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))) (/.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3))))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 1))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))) (*.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) 1))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 8/3)) (/.f64 (sqrt.f64 8/3) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) (/.f64 8/3 (sin.f64 x)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2))) (/.f64 8/3 (sin.f64 x))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 2) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 2)) (/.f64 8/3 (sin.f64 x)))))
(.f64 (cbrt.f64 8/3) (.f64 (cbrt.f64 64/9) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(.f64 (.f64 (/.f64 (cbrt.f64 64/9) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 8/3))
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(/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 512/27) (sin.f64 x))) (sqrt.f64 8/3)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (/.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 8/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 8/3) (sin.f64 x)) (sqrt.f64 8/3))
(/.f64 8/3 (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 8/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (/.f64 (sqrt.f64 512/27) (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 512/27) (sin.f64 x))) (sqrt.f64 8/3)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 8/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (/.f64 512/27 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 8/3)) (cbrt.f64 64/9))
(/.f64 (*.f64 (cbrt.f64 64/9) (cbrt.f64 8/3)) (sin.f64 x))
(.f64 (.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 2) 2))
(.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 2) 2)))
(.f64 (cbrt.f64 (sqrt.f64 8/3)) (.f64 (cbrt.f64 8/3) (/.f64 (sqrt.f64 8/3) (sin.f64 x))))
(.f64 (cbrt.f64 (sqrt.f64 8/3)) (/.f64 (.f64 (cbrt.f64 8/3) (sqrt.f64 8/3)) (sin.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 8/3)) (.f64 (sqrt.f64 (sqrt.f64 8/3)) (/.f64 (sqrt.f64 8/3) (sin.f64 x))))
(/.f64 8/3 (sin.f64 x))
(.f64 (neg.f64 (sqrt.f64 8/3)) (.f64 (sqrt.f64 8/3) (/.f64 -1 (sin.f64 x))))
(.f64 (neg.f64 (sqrt.f64 8/3)) (/.f64 (.f64 (sqrt.f64 8/3) -1) (sin.f64 x)))
(.f64 (neg.f64 (cbrt.f64 8/3)) (.f64 (cbrt.f64 64/9) (/.f64 -1 (sin.f64 x))))
(.f64 (neg.f64 (cbrt.f64 8/3)) (/.f64 (.f64 (cbrt.f64 64/9) -1) (sin.f64 x)))
(.f64 (sqrt.f64 8/3) (.f64 (neg.f64 (sqrt.f64 8/3)) (/.f64 -1 (sin.f64 x))))
(.f64 (sqrt.f64 8/3) (neg.f64 (/.f64 (.f64 (sqrt.f64 8/3) -1) (sin.f64 x))))
(*.f64 -1 (/.f64 -8/3 (sin.f64 x)))
(/.f64 (neg.f64 -8/3) (sin.f64 x))
(.f64 (cbrt.f64 8/3) (.f64 (neg.f64 (cbrt.f64 64/9)) (/.f64 -1 (sin.f64 x))))
(.f64 (cbrt.f64 8/3) (neg.f64 (/.f64 (.f64 (cbrt.f64 64/9) -1) (sin.f64 x))))
(.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2) 8/3))
(/.f64 8/3 (sin.f64 x))
(.f64 (cbrt.f64 64/9) (.f64 (cbrt.f64 8/3) (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 64/9) (cbrt.f64 8/3)) (sin.f64 x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 2) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 2) 2)) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(.f64 (sqrt.f64 8/3) (.f64 (/.f64 (sqrt.f64 8/3) (sin.f64 x)) 1))
(/.f64 8/3 (sin.f64 x))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 512/27) (sin.f64 x))) (.f64 (/.f64 (sqrt.f64 8/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) 1))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 512/27) (sin.f64 x))) (sqrt.f64 8/3)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) 1))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 8/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(.f64 (cbrt.f64 8/3) (.f64 (/.f64 (cbrt.f64 64/9) (sin.f64 x)) 1))
(/.f64 (*.f64 (cbrt.f64 64/9) (cbrt.f64 8/3)) (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 512/27 (sin.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(cbrt.f64 (/.f64 (/.f64 512/27 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 8/3) (cbrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 (neg.f64 (sqrt.f64 8/3)) (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2)))
(/.f64 (*.f64 (sqrt.f64 8/3) (neg.f64 (sqrt.f64 8/3))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 8/3) (neg.f64 (cbrt.f64 (sin.f64 x)))) (/.f64 (neg.f64 (sqrt.f64 8/3)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (sqrt.f64 8/3) (/.f64 (neg.f64 (sqrt.f64 8/3)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (neg.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 8/3) -1) (/.f64 (neg.f64 (sqrt.f64 8/3)) (sin.f64 x)))
(/.f64 (*.f64 (sqrt.f64 8/3) (neg.f64 (sqrt.f64 8/3))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 8/3)) (cbrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 64/9) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 64/9)) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 -1 (cbrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 8/3 (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2)))
(/.f64 (*.f64 -1 8/3) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) (/.f64 8/3 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)))))
(/.f64 (*.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 8/3) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 -8/3 (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2)))
(/.f64 (neg.f64 -8/3) (sin.f64 x))
(*.f64 (/.f64 1 (neg.f64 (cbrt.f64 (sin.f64 x)))) (/.f64 -8/3 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 -8/3 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 -1) (/.f64 -8/3 (sin.f64 x)))
(/.f64 (neg.f64 -8/3) (sin.f64 x))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 8/3)) (cbrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 8/3) (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 8/3)) (sqrt.f64 8/3)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 8/3)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 8/3) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)))))
(/.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 8/3)) (cbrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 8/3)) 1) (/.f64 (sqrt.f64 8/3) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 8/3)) (sqrt.f64 8/3)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 8/3) (cbrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 (neg.f64 (cbrt.f64 64/9)) (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2)))
(/.f64 (*.f64 (cbrt.f64 8/3) (neg.f64 (cbrt.f64 64/9))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 8/3) (neg.f64 (cbrt.f64 (sin.f64 x)))) (/.f64 (neg.f64 (cbrt.f64 64/9)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (cbrt.f64 8/3) (/.f64 (neg.f64 (cbrt.f64 64/9)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (neg.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 8/3) -1) (/.f64 (neg.f64 (cbrt.f64 64/9)) (sin.f64 x)))
(/.f64 (*.f64 (cbrt.f64 8/3) (neg.f64 (cbrt.f64 64/9))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 -8/3) (neg.f64 (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2)))
(/.f64 (cbrt.f64 (*.f64 -8/3 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2))) (neg.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 -8/3) 1) (/.f64 (cbrt.f64 64/9) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 -8/3) (cbrt.f64 64/9)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 -8/3) -1) (/.f64 (cbrt.f64 64/9) (sin.f64 x)))
(/.f64 (*.f64 (cbrt.f64 -8/3) (cbrt.f64 64/9)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 64/9) (cbrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 8/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (cbrt.f64 (/.f64 64/9 (sin.f64 x))) (cbrt.f64 (/.f64 8/3 (pow.f64 (sin.f64 x) 2))))
(*.f64 (cbrt.f64 64/9) (/.f64 (cbrt.f64 8/3) (sin.f64 x)))
(/.f64 (*.f64 (cbrt.f64 64/9) (cbrt.f64 8/3)) (sin.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (/.f64 512/27 (sin.f64 x))))
(cbrt.f64 (/.f64 (/.f64 512/27 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 8/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (cbrt.f64 64/9) (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 64/9 (sin.f64 x))) (cbrt.f64 (/.f64 8/3 (pow.f64 (sin.f64 x) 2))))
(*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2)))
(/.f64 8/3 (sin.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(/.f64 8/3 (sin.f64 x))
(*.f64 (cbrt.f64 8/3) (/.f64 (cbrt.f64 64/9) (sin.f64 x)))
(/.f64 (*.f64 (cbrt.f64 64/9) (cbrt.f64 8/3)) (sin.f64 x))
(*.f64 -8/3 (/.f64 -1 (sin.f64 x)))
(/.f64 (neg.f64 -8/3) (sin.f64 x))
(*.f64 (/.f64 (cbrt.f64 64/9) (sin.f64 x)) (cbrt.f64 8/3))
(/.f64 (*.f64 (cbrt.f64 64/9) (cbrt.f64 8/3)) (sin.f64 x))
(*.f64 (/.f64 -1 (sin.f64 x)) -8/3)
(/.f64 (neg.f64 -8/3) (sin.f64 x))
(.f64 (cbrt.f64 -8/3) (.f64 (cbrt.f64 64/9) (/.f64 -1 (sin.f64 x))))
(.f64 (cbrt.f64 -8/3) (/.f64 (.f64 (cbrt.f64 64/9) -1) (sin.f64 x)))
(.f64 -8/3 (.f64 (/.f64 -1 (sin.f64 x)) 1))
(/.f64 (neg.f64 -8/3) (sin.f64 x))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 8/3)) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2)))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 8/3 (neg.f64 (sin.f64 x))))) (cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2)))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 8/3)) 1) (/.f64 (cbrt.f64 64/9) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 8/3)) (cbrt.f64 64/9)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 -8/3) (cbrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 64/9) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 -8/3 (sin.f64 x))) (cbrt.f64 64/9)) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 -8/3 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 -8/3 (cbrt.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 -1 (neg.f64 (/.f64 (sin.f64 x) 8/3)))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 512/27 (sin.f64 x)))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(cbrt.f64 (/.f64 (/.f64 512/27 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 -8/3 (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 -8/3) (sin.f64 x))
(/.f64 (cbrt.f64 (/.f64 512/27 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(cbrt.f64 (/.f64 (/.f64 512/27 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 8/3 (sin.f64 x))
(/.f64 1 (/.f64 (sin.f64 x) 8/3))
(/.f64 8/3 (sin.f64 x))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 8/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 512/27) (sin.f64 x))) (sqrt.f64 8/3)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 64/9)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) 64/9)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 8/3 (sin.f64 x)) 1)
(/.f64 8/3 (sin.f64 x))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2)) (cbrt.f64 -8/3)) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (cbrt.f64 (*.f64 -8/3 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2)) (cbrt.f64 8/3)) (cbrt.f64 (sin.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2) 8/3)) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 512/27 (sin.f64 x))) 1) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(cbrt.f64 (/.f64 (/.f64 512/27 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 -8/3) (cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (cbrt.f64 (*.f64 -8/3 (pow.f64 (/.f64 8/3 (sin.f64 x)) 2))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 -8/3 (cbrt.f64 (neg.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2))
(/.f64 (/.f64 -8/3 (cbrt.f64 (sin.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 512/27 (sin.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2) 2))
(/.f64 (/.f64 (cbrt.f64 (/.f64 512/27 (sin.f64 x))) 1) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(cbrt.f64 (/.f64 (/.f64 512/27 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) 8/3))
(/.f64 -1 (neg.f64 (/.f64 (sin.f64 x) 8/3)))
(pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)
(/.f64 8/3 (sin.f64 x))
(pow.f64 (/.f64 8/3 (sin.f64 x)) 1)
(/.f64 8/3 (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) 8/3) -1)
(/.f64 8/3 (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3)
(/.f64 8/3 (sin.f64 x))
(neg.f64 (/.f64 -8/3 (sin.f64 x)))
(/.f64 (neg.f64 -8/3) (sin.f64 x))
(neg.f64 (*.f64 (/.f64 -8/3 (sin.f64 x)) 1))
(/.f64 (neg.f64 -8/3) (sin.f64 x))
(neg.f64 (*.f64 -8/3 (/.f64 1 (sin.f64 x))))
(/.f64 (neg.f64 -8/3) (sin.f64 x))
(neg.f64 (*.f64 (/.f64 1 (sin.f64 x)) -8/3))
(/.f64 (neg.f64 -8/3) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))
(/.f64 8/3 (sin.f64 x))

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 (*.f64 x 1/2))
✓	0.1b	(*.f64 (sin.f64 x) 3/8)
✓	0.3b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)) (sin.f64 (.f64 x 1/2)))
✓	0.3b	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8))

Compiler

Compiled 40 to 27 computations (32.5% saved)

series45.0ms (0.2%)

Counts

3 → 17

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8))
1.0ms	x	@	inf	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8))
1.0ms	x	@	-inf	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8))
0.0ms	x	@	0	(*.f64 (sin.f64 x) 3/8)
0.0ms	x	@	inf	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)) (sin.f64 (.f64 x 1/2)))

Compiler

Compiled 1650 to 1205 computations (27% saved)

rewrite206.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

169×	`egg-rr`
141×	`egg-rr`
47×	`egg-rr`

Counts

3 → 357

Calls

Call 1

Inputs
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)) (sin.f64 (.f64 x 1/2)))
(*.f64 (sin.f64 x) 3/8)

Outputs

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

simplify1.0s (3.7%)

Algorithm

1×

egglog

Counts

374 → 465

Calls

Call 1

Inputs
4/3
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(*.f64 3/8 x)
(+.f64 (.f64 -1/16 (pow.f64 x 3)) (.f64 3/8 x))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)))
(+.f64 (.f64 1/320 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (+.f64 (.f64 -1/13440 (pow.f64 x 7)) (.f64 3/8 x))))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (pow.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) -1) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 8/3))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)))
(if (!=.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (.f64 (sin.f64 x) 3/8) (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)))
(if (!=.f64 1 0) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 -1 (/.f64 (.f64 -3/8 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (neg.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (.f64 -3/8 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 8/3))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (.f64 -3/8 (sin.f64 x)) (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) 2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)))
(if (!=.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) 0) (pow.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) -1) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)))
(if (!=.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) 0) (/.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)))
(if (!=.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 0) (/.f64 1 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)))
(if (!=.f64 (/.f64 1 (sin.f64 x)) 0) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/8 (/.f64 1 (sin.f64 x)))) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)))
(if (!=.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 3/8 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)))) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)))
(if (!=.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) 0) (/.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 3/8 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2))) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)))
(-.f64 0 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 -3/8 (sin.f64 x))))
(-.f64 (/.f64 0 (.f64 -3/8 (sin.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) (*.f64 -3/8 (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 27/512)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 8/3))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 3/8)) (/.f64 1 (sqrt.f64 3/8)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 3/8)) (/.f64 1 (cbrt.f64 9/64)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 x))) (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3/8)))
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(.f64 (/.f64 1 (sin.f64 x)) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 8/3) (sin.f64 (.f64 x 1/2))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)))))
(.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) 3/8) 2))))
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 (sin.f64 x) 3/8))) (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2)))))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 -3/8 (sin.f64 x))))
(.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))
(.f64 (/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 -3/8 (sin.f64 x)))) (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 -3/8 (sin.f64 x))) 2)))
(.f64 (/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) 3/8) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 -3/8 (sin.f64 x)))) (/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (*.f64 -3/8 (sin.f64 x))) 2)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) -3/8) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) -1) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 -3/8 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)))) (/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sin.f64 x))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) -3/8)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 3/8))) (cbrt.f64 9/64))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (neg.f64 (sin.f64 (.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)) 2)) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 3/8))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)) 2)) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (*.f64 -3/8 (sin.f64 x))))
(/.f64 (.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) 1) (sin.f64 x))
(/.f64 (.f64 (neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) -3/8)
(/.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 3/8)) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 9/64))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 x))) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) (/.f64 8/3 (sin.f64 x))) 2)
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (.f64 -3/8 (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 -3/8 (sin.f64 x))) 2))
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3/8) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) -3/8)
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (.f64 (sin.f64 x) 3/8))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2))))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 27/512 (sin.f64 x)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 3/8)) (.f64 (cbrt.f64 9/64) (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sqrt.f64 3/8)) (.f64 (sin.f64 x) (sqrt.f64 3/8)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) (cbrt.f64 3/8))) (cbrt.f64 9/64))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3/8))
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) (cbrt.f64 9/64)) (cbrt.f64 3/8))
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) (cbrt.f64 3/8)) (cbrt.f64 9/64))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8))) 2) 2))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) (.f64 (*.f64 (sin.f64 x) 3/8) 2))
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 x))) (sin.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3/8))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (.f64 2 (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) 3/8) 2))))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) -1) (.f64 2 (.f64 -3/8 (sin.f64 x))))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) (/.f64 1 (sin.f64 x))) (*.f64 2 3/8))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 1) (.f64 2 (.f64 (sin.f64 x) 3/8)))
(/.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 x (+.f64 1/2 1/2)))) 8/3) (*.f64 2 (sin.f64 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 x)))) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3/8))
(/.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) -3/8)
(/.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3)) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (sin.f64 x) 3/8))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 -3/8 (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 3/8))) (sqrt.f64 3/8))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (sin.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -1) (*.f64 -3/8 (sin.f64 x)))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)) 2)) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 1) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) 3/8) 2)))
(/.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 3/8)) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 3/8))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) 3/8) 2)))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 1) (.f64 -3/8 (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) 3/8) 2))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) (sqrt.f64 3/8))) (sqrt.f64 3/8))
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) (sqrt.f64 3/8)) (sqrt.f64 3/8))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 1) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2)))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (.f64 (sin.f64 x) 3/8))) (cbrt.f64 (.f64 (sin.f64 x) 3/8)))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3) 1/3)
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(neg.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 -3/8 (sin.f64 x))) (sin.f64 (.f64 x 1/2))))
(neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 -3/8 (sin.f64 x)))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 -3/8 (sin.f64 x))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3))
(-.f64 0 (*.f64 -3/8 (sin.f64 x)))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) 3/8) 2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(.f64 (cbrt.f64 (.f64 27/512 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(.f64 (.f64 (sin.f64 x) (sqrt.f64 3/8)) (sqrt.f64 3/8))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 3/8)) (cbrt.f64 9/64))
(.f64 (sqrt.f64 3/8) (.f64 (sin.f64 x) (sqrt.f64 3/8)))
(.f64 (cbrt.f64 3/8) (.f64 (cbrt.f64 9/64) (sin.f64 x)))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3/8))
(.f64 1 (.f64 (sin.f64 x) 3/8))
(.f64 (.f64 (sin.f64 x) 3/8) 1)
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (.f64 27/512 (sin.f64 x))))
(.f64 (.f64 (cbrt.f64 9/64) (sin.f64 x)) (cbrt.f64 3/8))
(.f64 (cbrt.f64 9/64) (.f64 (sin.f64 x) (cbrt.f64 3/8)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3/8) (cbrt.f64 (sin.f64 x)))
(.f64 (.f64 (*.f64 (sin.f64 x) (sqrt.f64 3/8)) (sqrt.f64 (sqrt.f64 3/8))) (sqrt.f64 (sqrt.f64 3/8)))
(.f64 (.f64 (*.f64 (sin.f64 x) (sqrt.f64 3/8)) (cbrt.f64 (sqrt.f64 3/8))) (cbrt.f64 3/8))
(.f64 (.f64 (*.f64 (sin.f64 x) (cbrt.f64 3/8)) (cbrt.f64 3/8)) (cbrt.f64 3/8))
(.f64 (.f64 (*.f64 (sin.f64 x) (cbrt.f64 3/8)) (cbrt.f64 (cbrt.f64 9/64))) (pow.f64 (cbrt.f64 (cbrt.f64 9/64)) 2))
(.f64 (.f64 (*.f64 (sin.f64 x) (cbrt.f64 3/8)) 1) (cbrt.f64 9/64))
(.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) 2) 2))
(.f64 (.f64 (cbrt.f64 (*.f64 27/512 (sin.f64 x))) 1) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(.f64 (.f64 (cbrt.f64 (*.f64 27/512 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))
(.f64 (.f64 (cbrt.f64 (*.f64 27/512 (sin.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2) 2))
(.f64 (sqrt.f64 (sqrt.f64 3/8)) (.f64 (sqrt.f64 (sqrt.f64 3/8)) (*.f64 (sin.f64 x) (sqrt.f64 3/8))))
(.f64 (cbrt.f64 (sqrt.f64 3/8)) (.f64 (cbrt.f64 3/8) (*.f64 (sin.f64 x) (sqrt.f64 3/8))))
(.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2))))
(*.f64 (neg.f64 (neg.f64 (sin.f64 x))) 3/8)
(.f64 -1 (.f64 -3/8 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) -3/8)
(.f64 (neg.f64 (cbrt.f64 (.f64 -3/8 (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 -3/8 (sin.f64 x))) 2))
(*.f64 (neg.f64 -3/8) (sin.f64 x))
(.f64 (neg.f64 -1) (.f64 (sin.f64 x) 3/8))
(*.f64 -3/8 (neg.f64 (sin.f64 x)))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2)))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2)))))
(*.f64 (sin.f64 x) (neg.f64 -3/8))
(.f64 (cbrt.f64 (.f64 -3/8 (sin.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -3/8 (sin.f64 x))) 2)))
(*.f64 3/8 (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) 3/8) 1)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(neg.f64 (*.f64 -3/8 (sin.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))

Outputs
4/3
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
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(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 3/8 (sin.f64 x)) 2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 3/8))) (sqrt.f64 3/8))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (sin.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 3/8 (sin.f64 x)) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) -1) (*.f64 -3/8 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (sin.f64 x)))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)) 2)) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)) 2) (sin.f64 (.f64 x 1/2)))) (sin.f64 (.f64 x 1/2))) (cbrt.f64 (*.f64 3/8 (sin.f64 x))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2))) (cbrt.f64 (*.f64 3/8 (sin.f64 x))))
(/.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 1) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) 3/8) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 3/8 (sin.f64 x)) 2)))
(/.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 3/8)) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 3/8))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 3/8))) (sqrt.f64 3/8))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) 3/8) 2)))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 1) (.f64 -3/8 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) 3/8) 2))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) (sqrt.f64 3/8))) (sqrt.f64 3/8))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) (sqrt.f64 3/8)) (sqrt.f64 3/8))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (sin.f64 x)))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 1) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 3/8 (sin.f64 x)) 2)))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (.f64 (sin.f64 x) 3/8))) (cbrt.f64 (.f64 (sin.f64 x) 3/8)))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (.f64 3/8 (sin.f64 x)))) (cbrt.f64 (.f64 3/8 (sin.f64 x))))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3) 1/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(neg.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 -3/8 (sin.f64 x))) (sin.f64 (.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (sin.f64 x)))
(neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 -3/8 (sin.f64 x)))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (sin.f64 x)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 -3/8 (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 (sin.f64 x)))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(-.f64 0 (*.f64 -3/8 (sin.f64 x)))
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2)))
(*.f64 3/8 (sin.f64 x))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) 3/8) 2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 3/8 (sin.f64 x))
(.f64 (cbrt.f64 (.f64 27/512 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 27/512 (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) (sqrt.f64 3/8)) (sqrt.f64 3/8))
(*.f64 3/8 (sin.f64 x))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 3/8)) (cbrt.f64 9/64))
(.f64 (sqrt.f64 3/8) (.f64 (sin.f64 x) (sqrt.f64 3/8)))
(*.f64 3/8 (sin.f64 x))
(.f64 (cbrt.f64 3/8) (.f64 (cbrt.f64 9/64) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 3/8)) (cbrt.f64 9/64))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3/8))
(.f64 1 (.f64 (sin.f64 x) 3/8))
(*.f64 3/8 (sin.f64 x))
(.f64 (.f64 (sin.f64 x) 3/8) 1)
(*.f64 3/8 (sin.f64 x))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (.f64 27/512 (sin.f64 x))))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 27/512 (sin.f64 x))))
(.f64 (.f64 (cbrt.f64 9/64) (sin.f64 x)) (cbrt.f64 3/8))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 3/8)) (cbrt.f64 9/64))
(.f64 (cbrt.f64 9/64) (.f64 (sin.f64 x) (cbrt.f64 3/8)))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 3/8)) (cbrt.f64 9/64))
(.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3/8) (cbrt.f64 (sin.f64 x)))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3/8))
(.f64 (.f64 (*.f64 (sin.f64 x) (sqrt.f64 3/8)) (sqrt.f64 (sqrt.f64 3/8))) (sqrt.f64 (sqrt.f64 3/8)))
(*.f64 3/8 (sin.f64 x))
(.f64 (.f64 (*.f64 (sin.f64 x) (sqrt.f64 3/8)) (cbrt.f64 (sqrt.f64 3/8))) (cbrt.f64 3/8))
(.f64 (.f64 (*.f64 (sin.f64 x) (cbrt.f64 3/8)) (cbrt.f64 3/8)) (cbrt.f64 3/8))
(.f64 (.f64 (*.f64 (sin.f64 x) (cbrt.f64 3/8)) (cbrt.f64 (cbrt.f64 9/64))) (pow.f64 (cbrt.f64 (cbrt.f64 9/64)) 2))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 3/8)) (cbrt.f64 9/64))
(.f64 (.f64 (*.f64 (sin.f64 x) (cbrt.f64 3/8)) 1) (cbrt.f64 9/64))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 3/8)) (cbrt.f64 9/64))
(.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) 2) 2))
(.f64 (.f64 (cbrt.f64 (.f64 3/8 (sin.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3/8 (sin.f64 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x)))) 2) 2))
(.f64 (.f64 (cbrt.f64 (*.f64 27/512 (sin.f64 x))) 1) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 27/512 (sin.f64 x))))
(.f64 (.f64 (cbrt.f64 (*.f64 27/512 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))
(.f64 (cbrt.f64 (.f64 (*.f64 27/512 (sin.f64 x)) (sin.f64 x))) (cbrt.f64 (sin.f64 x)))
(.f64 (.f64 (cbrt.f64 (*.f64 27/512 (sin.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2) 2))
(.f64 (sqrt.f64 (sqrt.f64 3/8)) (.f64 (sqrt.f64 (sqrt.f64 3/8)) (*.f64 (sin.f64 x) (sqrt.f64 3/8))))
(*.f64 3/8 (sin.f64 x))
(.f64 (cbrt.f64 (sqrt.f64 3/8)) (.f64 (cbrt.f64 3/8) (*.f64 (sin.f64 x) (sqrt.f64 3/8))))
(.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2))))
(*.f64 3/8 (sin.f64 x))
(*.f64 (neg.f64 (neg.f64 (sin.f64 x))) 3/8)
(*.f64 3/8 (sin.f64 x))
(.f64 -1 (.f64 -3/8 (sin.f64 x)))
(*.f64 3/8 (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) -3/8)
(*.f64 3/8 (sin.f64 x))
(.f64 (neg.f64 (cbrt.f64 (.f64 -3/8 (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 -3/8 (sin.f64 x))) 2))
(.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 x) -3/8))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/8)) 2))
(*.f64 (neg.f64 -3/8) (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(.f64 (neg.f64 -1) (.f64 (sin.f64 x) 3/8))
(*.f64 3/8 (sin.f64 x))
(*.f64 -3/8 (neg.f64 (sin.f64 x)))
(*.f64 3/8 (sin.f64 x))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2)))
(*.f64 3/8 (sin.f64 x))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2)))))
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 -3/8))
(*.f64 3/8 (sin.f64 x))
(.f64 (cbrt.f64 (.f64 -3/8 (sin.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -3/8 (sin.f64 x))) 2)))
(.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 x) -3/8))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/8)) 2))
(*.f64 3/8 (neg.f64 (neg.f64 (sin.f64 x))))
(*.f64 3/8 (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) 3/8) 1)
(*.f64 3/8 (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(*.f64 3/8 (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(*.f64 3/8 (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(*.f64 3/8 (sin.f64 x))
(neg.f64 (*.f64 -3/8 (sin.f64 x)))
(*.f64 3/8 (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(*.f64 3/8 (sin.f64 x))

eval1.3s (4.8%)

Compiler: Compiled 54032 to 39931 computations (26.1% saved)

prune854.0ms (3.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	2381	10	2391
Fresh	21	2	23
Picked	1	0	1
Done	3	1	4
Total	2406	13	2419

Error

Counts

2419 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(if (!=.f64 (tan.f64 (.f64 x 1/2)) 0) (/.f64 -1 (/.f64 -3/4 (tan.f64 (.f64 x 1/2)))) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
	32.8b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
	0.8b	(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 3/4)) (sqrt.f64 3/4))
	0.2b	(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2))) 3/4)
▶	32.9b	(/.f64 (-.f64 (cos.f64 x) 1) (*.f64 -3/4 (sin.f64 x)))
	32.9b	(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (sin.f64 x))
	0.4b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
▶	28.6b	(/.f64 (*.f64 x 2) 3)
▶	0.2b	(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
▶	0.2b	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/4 (cos.f64 (*.f64 x 1/2))))
▶	29.3b	(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
	0.4b	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
✓	28.8b	(*.f64 2/3 x)

Compiler

Compiled 262 to 219 computations (16.4% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (tan.f64 (/.f64 x 2)) 3/4)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series16.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
1.0ms	x	@	-inf	(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
1.0ms	x	@	inf	(/.f64 (tan.f64 (/.f64 x 2)) 3/4)

Compiler

Compiled 690 to 560 computations (18.8% saved)

rewrite132.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

137× egg-rr

Counts

1 → 137

Calls

Call 1

Inputs
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)

Outputs

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(*.f64 x 1/2))) (cbrt.f64 9/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 4/3) (tan.f64 (*.f64 x 1/2))) (sqrt.f64 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 9/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 4/3)) 1) (cbrt.f64 9/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 4/3)) 1) (sqrt.f64 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 4/3)) 1) (cbrt.f64 9/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 4/3)) 1) (sqrt.f64 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 3/4 (neg.f64 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 -3/4 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 4/3)) (cbrt.f64 (cbrt.f64 9/16))) (pow.f64 (cbrt.f64 (cbrt.f64 9/16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 9/16)) (cbrt.f64 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))))))

simplify521.0ms (1.9%)

Algorithm

1×

egglog

Counts

149 → 156

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(if (!=.f64 (tan.f64 (.f64 x 1/2)) 0) (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) -1) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 3/4 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 1 (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 1 0) (.f64 (tan.f64 (.f64 x 1/2)) 4/3) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 0) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (/.f64 3/4 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) 0) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/4 (/.f64 1 (cos.f64 (.f64 x 1/2))))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 (tan.f64 (.f64 x 1/2)) 0) (/.f64 -1 (/.f64 -3/4 (tan.f64 (.f64 x 1/2)))) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2))) 0) (/.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 3/4 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) (/.f64 -3/4 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) (/.f64 -3/4 (pow.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) 2))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) 0) (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) -1) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 4/3 0) (.f64 (tan.f64 (.f64 x 1/2)) 4/3) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(-.f64 0 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 27/64))) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (sqrt.f64 4/3)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (/.f64 1 (cos.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (.f64 3/4 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 3/4) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 3/4)) (/.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 3/4)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3/4))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (/.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) 1))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 9/16)) (/.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 3/4)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 3/4)) (/.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 9/16)))
(.f64 (/.f64 1 (cbrt.f64 -3/4)) (/.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) (cbrt.f64 9/16)))
(.f64 (/.f64 1 (neg.f64 (sqrt.f64 3/4))) (/.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 3/4)))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) -1) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) 3/4))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (cbrt.f64 -3/4)) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 9/16)))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (neg.f64 (sqrt.f64 3/4))) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) (sqrt.f64 3/4)))
(.f64 (/.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) 1) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) -3/4))
(.f64 (/.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 3/4)) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (neg.f64 (cbrt.f64 9/16))))
(.f64 (/.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 3/4)) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sqrt.f64 3/4))))
(.f64 (/.f64 -1 (cbrt.f64 3/4)) (/.f64 (tan.f64 (.f64 x 1/2)) (neg.f64 (cbrt.f64 9/16))))
(.f64 (/.f64 -1 (sqrt.f64 3/4)) (/.f64 (tan.f64 (.f64 x 1/2)) (neg.f64 (sqrt.f64 3/4))))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 3/4) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 4/3))
(.f64 (sqrt.f64 4/3) (.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 4/3)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 4/3) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (sqrt.f64 4/3)) (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 27/64))))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 4/3)) (sqrt.f64 4/3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 4/3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 2))
(.f64 (.f64 4/3 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))
(.f64 (.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 2) 2))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 4/3)) (cbrt.f64 16/9))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 2) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) 4/3))
(.f64 (cbrt.f64 4/3) (.f64 (cbrt.f64 16/9) (tan.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 4/3) (.f64 (sqrt.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) 2) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 4/3)))
(.f64 (cbrt.f64 4/3) (.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 9/16)) 1))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 27/64))) (.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (sqrt.f64 4/3)) 1))
(.f64 (sqrt.f64 4/3) (.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) 1))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 2) 2) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2))) -4/3))
(.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) (.f64 (pow.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) 2) -4/3))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 4/3)) (/.f64 1 (cbrt.f64 9/16)))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3/4))
(.f64 (/.f64 1 (cbrt.f64 9/16)) (.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 4/3)))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (cbrt.f64 9/16)) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 3/4)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (cbrt.f64 3/4)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 9/16)))
(.f64 (cbrt.f64 4/3) (/.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 9/16)))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 9/16)) (cbrt.f64 4/3))
(.f64 -1 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(.f64 1 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) 2) 3/4))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 27/64))) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) 2) (sqrt.f64 3/4)))
(.f64 (/.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) 1) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) 2) -3/4))
(.f64 (/.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 3/4)) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) 2) (neg.f64 (cbrt.f64 9/16))))
(.f64 (/.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 3/4)) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) 2) (neg.f64 (sqrt.f64 3/4))))
(.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) -4/3)
(.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) -4/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 -4/3 (neg.f64 (tan.f64 (.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/4 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 -3/4))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 3/4))
(/.f64 (.f64 4/3 (neg.f64 (sin.f64 (.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))) (cbrt.f64 -3/4))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) 4/3) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 4/3)) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 1) (cos.f64 (.f64 x 1/2)))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) -4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 3/4)) (neg.f64 (sqrt.f64 3/4)))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 3/4)) (neg.f64 (cbrt.f64 9/16)))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) (sqrt.f64 (sqrt.f64 3/4))) (sqrt.f64 (sqrt.f64 3/4)))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) (cbrt.f64 (sqrt.f64 3/4))) (cbrt.f64 3/4))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) 1) (.f64 (cos.f64 (.f64 x 1/2)) -3/4))
(/.f64 (.f64 (sqrt.f64 4/3) (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 3/4) (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (cbrt.f64 4/3) (sin.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 9/16) (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (sqrt.f64 4/3) (neg.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (sqrt.f64 3/4) (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (cbrt.f64 4/3) (neg.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (cbrt.f64 9/16) (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (.f64 -1 (neg.f64 (sin.f64 (.f64 x 1/2)))) (.f64 -3/4 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) (.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 3/4)))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 4/3)) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (sqrt.f64 3/4)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 4/3)) (.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 9/16)))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 4/3)) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (cbrt.f64 9/16)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -1) (.f64 (cos.f64 (.f64 x 1/2)) -3/4))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) -1) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) -3/4))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) 1) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) 3/4))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 4/3))) (neg.f64 (cbrt.f64 9/16)))
(/.f64 (neg.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3))) (neg.f64 (sqrt.f64 3/4)))
(/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) (sqrt.f64 3/4))
(/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 4/3)) (cbrt.f64 9/16))
(/.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 27/64))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) (sqrt.f64 3/4))
(/.f64 (.f64 (cbrt.f64 4/3) (tan.f64 (.f64 x 1/2))) (cbrt.f64 9/16))
(/.f64 (.f64 (sqrt.f64 4/3) (tan.f64 (.f64 x 1/2))) (sqrt.f64 3/4))
(/.f64 (.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2))) (cbrt.f64 9/16))
(/.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 4/3)) 1) (cbrt.f64 9/16))
(/.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 4/3)) 1) (sqrt.f64 3/4))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 4/3)) 1) (cbrt.f64 9/16))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) 1) (sqrt.f64 3/4))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (.f64 3/4 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (.f64 -3/4 (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 4/3)) (cbrt.f64 (cbrt.f64 9/16))) (pow.f64 (cbrt.f64 (cbrt.f64 9/16)) 2))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 9/16)) (cbrt.f64 3/4))
(/.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -3/4)
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 3) 1/3)
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 3)
(neg.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))
(neg.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 3))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 7) 17/30240 (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(if (!=.f64 (tan.f64 (.f64 x 1/2)) 0) (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) -1) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 (tan.f64 (.f64 1/2 x)) 0) (/.f64 4/3 (/.f64 1 (tan.f64 (.f64 1/2 x)))) (.f64 4/3 (tan.f64 (.f64 1/2 x))))
(if (!=.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 3/4 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2)) 0) (cbrt.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (/.f64 27/64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2)))) (.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 1 (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 (sin.f64 (.f64 1/2 x)) 0) (/.f64 -1 (/.f64 (.f64 -3/4 (cos.f64 (.f64 1/2 x))) (sin.f64 (.f64 1/2 x)))) (.f64 4/3 (tan.f64 (.f64 1/2 x))))
(if (!=.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 (cos.f64 (.f64 1/2 x)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 2) 4/3))) (.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(if (!=.f64 1 0) (.f64 (tan.f64 (.f64 x 1/2)) 4/3) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 1 0) (.f64 4/3 (tan.f64 (.f64 1/2 x))) (.f64 4/3 (tan.f64 (.f64 1/2 x))))
(if (!=.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 0) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (/.f64 3/4 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 0) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2) (/.f64 27/64 (tan.f64 (.f64 1/2 x))))) (.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(if (!=.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) 0) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 3/4 (/.f64 1 (cos.f64 (.f64 x 1/2))))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 (/.f64 1 (cos.f64 (.f64 1/2 x))) 0) (/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 -1 (/.f64 -4/3 (cos.f64 (.f64 1/2 x))))) (.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(if (!=.f64 (tan.f64 (.f64 x 1/2)) 0) (/.f64 -1 (/.f64 -3/4 (tan.f64 (.f64 x 1/2)))) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 (tan.f64 (.f64 1/2 x)) 0) (/.f64 4/3 (/.f64 1 (tan.f64 (.f64 1/2 x)))) (.f64 4/3 (tan.f64 (.f64 1/2 x))))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2))) 0) (/.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 3/4 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2))) 0) (cbrt.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (/.f64 27/64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2)))) (.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(if (!=.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) (/.f64 -3/4 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2)) 0) (cbrt.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (/.f64 27/64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2)))) (.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) (/.f64 -3/4 (pow.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) 2))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2)) 0) (cbrt.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (/.f64 27/64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2)))) (.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(if (!=.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) 0) (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) -1) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 (neg.f64 (tan.f64 (.f64 1/2 x))) 0) (/.f64 4/3 (/.f64 1 (tan.f64 (.f64 1/2 x)))) (.f64 4/3 (tan.f64 (.f64 1/2 x))))
(if (!=.f64 4/3 0) (.f64 (tan.f64 (.f64 x 1/2)) 4/3) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 4/3 0) (.f64 4/3 (tan.f64 (.f64 1/2 x))) (.f64 4/3 (tan.f64 (.f64 1/2 x))))
(-.f64 0 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 27/64))) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (sqrt.f64 4/3)))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (/.f64 1 (cos.f64 (.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
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(/.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 27/64))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) (sqrt.f64 3/4))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (.f64 (cbrt.f64 4/3) (tan.f64 (.f64 x 1/2))) (cbrt.f64 9/16))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (.f64 (sqrt.f64 4/3) (tan.f64 (.f64 x 1/2))) (sqrt.f64 3/4))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2))) (cbrt.f64 9/16))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 4/3)) 1) (cbrt.f64 9/16))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 4/3)) 1) (sqrt.f64 3/4))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 4/3)) 1) (cbrt.f64 9/16))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) 1) (sqrt.f64 3/4))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (.f64 3/4 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (.f64 -3/4 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 4/3)) (cbrt.f64 (cbrt.f64 9/16))) (pow.f64 (cbrt.f64 (cbrt.f64 9/16)) 2))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 9/16)) (cbrt.f64 3/4))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -3/4)
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 3) 1/3)
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 3)
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(neg.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(neg.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 3))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))

localize10.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
✓	0.1b	(*.f64 1/18 (pow.f64 x 3))
	0.3b	(*.f64 2/3 x)

Compiler

Compiled 25 to 19 computations (24% saved)

series27.0ms (0.1%)

Counts

2 → 1

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(*.f64 1/18 (pow.f64 x 3))
1.0ms	x	@	inf	(*.f64 1/18 (pow.f64 x 3))
1.0ms	x	@	0	(*.f64 1/18 (pow.f64 x 3))
0.0ms	x	@	inf	(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
0.0ms	x	@	-inf	(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))

Compiler

Compiled 705 to 590 computations (16.3% saved)

rewrite102.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

47×	`egg-rr`
38×	`egg-rr`

Counts

2 → 85

Calls

Call 1

Inputs
(*.f64 1/18 (pow.f64 x 3))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/18 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 1/18)) (cbrt.f64 1/324))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/18 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/18) (*.f64 (cbrt.f64 1/324) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 1/18 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/324) (pow.f64 x 3)) (cbrt.f64 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/324) (*.f64 (pow.f64 x 3) (cbrt.f64 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/18 x) (cbrt.f64 (*.f64 x x))) (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 1/18)) (cbrt.f64 1/18)) (cbrt.f64 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 1/18)) 1) (cbrt.f64 1/324))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cbrt.f64 1/324) (*.f64 x x)) (cbrt.f64 (*.f64 (cbrt.f64 1/18) x))) (cbrt.f64 (*.f64 (cbrt.f64 1/324) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/324) (*.f64 x x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 1/324) (*.f64 x x)) 2)) (*.f64 (cbrt.f64 1/18) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/18)) (*.f64 (cbrt.f64 (sqrt.f64 1/18)) (*.f64 (cbrt.f64 1/324) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/18)) (*.f64 (cbrt.f64 (cbrt.f64 1/324)) (*.f64 (cbrt.f64 1/324) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 1/18 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 x)) (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 1/18 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) x) (*.f64 1/18 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/18) x) (*.f64 (cbrt.f64 1/324) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/18 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1/18)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/324) (*.f64 x x)) (*.f64 (cbrt.f64 1/18) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/18)) (sqrt.f64 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/18 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/18) (*.f64 (pow.f64 x 3) (sqrt.f64 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/18 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cbrt.f64 1/18) x) (cbrt.f64 (*.f64 (cbrt.f64 1/324) (*.f64 x x)))) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 1/324) (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/18 x) (*.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/18 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 1/18)) (cbrt.f64 (cbrt.f64 1/324))) (pow.f64 (cbrt.f64 (cbrt.f64 1/324)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/18 (*.f64 (*.f64 x (cbrt.f64 x)) x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/18 (cbrt.f64 x)) (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 1/18 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 x (cbrt.f64 x)) (*.f64 1/18 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/18 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/5832 (pow.f64 (pow.f64 x 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 1/18) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/5832 (pow.f64 (pow.f64 x 3) 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/3 x) (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 1/18)) (cbrt.f64 1/324) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/18) (*.f64 (cbrt.f64 1/324) (pow.f64 x 3)) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 1/18 x) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/18 (pow.f64 x 3)) 1 (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/18 x) (*.f64 x x) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 x) 1 (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 2/3)) (cbrt.f64 4/9) (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2/3) (*.f64 (cbrt.f64 4/9) x) (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (*.f64 x x) 8/27)) (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 2/3 x)) (cbrt.f64 (*.f64 4/9 (*.f64 x x))) (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 1/18) x) (*.f64 (cbrt.f64 1/324) (*.f64 x x)) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/18 (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/18) (*.f64 (pow.f64 x 3) (sqrt.f64 1/18)) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 1/324) (*.f64 x x)) (*.f64 (cbrt.f64 1/18) x) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/18 (*.f64 x x)) x (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 1/18 (*.f64 x x)) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/18)) (sqrt.f64 1/18) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2/3) (*.f64 x (sqrt.f64 2/3)) (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 8/27 x)) (cbrt.f64 (*.f64 x x)) (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4/9 (*.f64 x x))) (cbrt.f64 (*.f64 2/3 x)) (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 2/3) (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 -2/3 x)) 0) (/.f64 (fma.f64 1/324 (pow.f64 (*.f64 x x) 3) (neg.f64 (*.f64 4/9 (*.f64 x x)))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 -2/3 x))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 x (-.f64 2/3 (*.f64 1/18 (*.f64 x x)))) 0) (/.f64 (fma.f64 1/324 (pow.f64 (*.f64 x x) 3) (neg.f64 (*.f64 4/9 (*.f64 x x)))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 -2/3 x))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 4/9 (*.f64 x x) (*.f64 (*.f64 1/18 (pow.f64 x 3)) (fma.f64 1/18 (pow.f64 x 3) (*.f64 -2/3 x)))) 0) (/.f64 (fma.f64 1/5832 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (*.f64 2/3 x) 3)) (fma.f64 4/9 (*.f64 x x) (*.f64 (*.f64 1/18 (pow.f64 x 3)) (fma.f64 1/18 (pow.f64 x 3) (*.f64 -2/3 x))))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 2/3 x) 0) (/.f64 (fma.f64 1/5832 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (*.f64 2/3 x) 3)) (fma.f64 4/9 (*.f64 x x) (*.f64 (*.f64 1/18 (pow.f64 x 3)) (fma.f64 1/18 (pow.f64 x 3) (*.f64 -2/3 x))))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 1/18 (pow.f64 x 3)) 0) (/.f64 (fma.f64 1/5832 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (*.f64 2/3 x) 3)) (fma.f64 4/9 (*.f64 x x) (*.f64 (*.f64 1/18 (pow.f64 x 3)) (fma.f64 1/18 (pow.f64 x 3) (*.f64 -2/3 x))))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/3 x) (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 2/3 (*.f64 1/18 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))) (cbrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cbrt.f64 1/324) (*.f64 x x)) (-.f64 (cbrt.f64 (*.f64 4/9 (*.f64 x x))) (*.f64 x (cbrt.f64 (*.f64 1/18 (*.f64 2/3 x)))))) (+.f64 (*.f64 (cbrt.f64 1/18) x) (cbrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (*.f64 4/9 (*.f64 x x))) (-.f64 (*.f64 (cbrt.f64 1/324) (*.f64 x x)) (*.f64 x (cbrt.f64 (*.f64 1/18 (*.f64 2/3 x)))))) (+.f64 (cbrt.f64 (*.f64 2/3 x)) (*.f64 (cbrt.f64 1/18) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) 2)) (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) 3))))))

simplify347.0ms (1.3%)

Algorithm

1×

egglog

Counts

86 → 91

Calls

Call 1

Inputs
(*.f64 2/3 x)
(.f64 1 (.f64 1/18 (pow.f64 x 3)))
(.f64 (.f64 1/18 (pow.f64 x 3)) 1)
(.f64 (.f64 (pow.f64 x 3) (cbrt.f64 1/18)) (cbrt.f64 1/324))
(.f64 (.f64 1/18 x) (*.f64 x x))
(.f64 (cbrt.f64 1/18) (.f64 (cbrt.f64 1/324) (pow.f64 x 3)))
(.f64 (.f64 x x) (*.f64 1/18 x))
(.f64 (.f64 (cbrt.f64 1/324) (pow.f64 x 3)) (cbrt.f64 1/18))
(.f64 (cbrt.f64 1/324) (.f64 (pow.f64 x 3) (cbrt.f64 1/18)))
(.f64 (.f64 (.f64 1/18 x) (cbrt.f64 (.f64 x x))) (*.f64 x (cbrt.f64 x)))
(.f64 (.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 1/18)) (cbrt.f64 1/18)) (cbrt.f64 1/18))
(.f64 (.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 1/18)) 1) (cbrt.f64 1/324))
(.f64 (.f64 (.f64 (cbrt.f64 1/324) (.f64 x x)) (cbrt.f64 (.f64 (cbrt.f64 1/18) x))) (cbrt.f64 (.f64 (cbrt.f64 1/324) (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 1/324) (.f64 x x))) (.f64 (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 1/324) (.f64 x x)) 2)) (*.f64 (cbrt.f64 1/18) x)))
(.f64 (cbrt.f64 (sqrt.f64 1/18)) (.f64 (cbrt.f64 (sqrt.f64 1/18)) (*.f64 (cbrt.f64 1/324) (pow.f64 x 3))))
(.f64 (cbrt.f64 (cbrt.f64 1/18)) (.f64 (cbrt.f64 (cbrt.f64 1/324)) (*.f64 (cbrt.f64 1/324) (pow.f64 x 3))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (.f64 1/18 (*.f64 x x))))
(.f64 (.f64 x (cbrt.f64 x)) (.f64 (cbrt.f64 (.f64 x x)) (*.f64 1/18 x)))
(.f64 (cbrt.f64 x) (.f64 (.f64 (cbrt.f64 (.f64 x x)) x) (*.f64 1/18 x)))
(.f64 (.f64 (cbrt.f64 1/18) x) (.f64 (cbrt.f64 1/324) (.f64 x x)))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/18)
(.f64 (.f64 (cbrt.f64 1/324) (.f64 x x)) (.f64 (cbrt.f64 1/18) x))
(.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/18)) (sqrt.f64 1/18))
(.f64 (.f64 1/18 (*.f64 x x)) x)
(.f64 (sqrt.f64 1/18) (.f64 (pow.f64 x 3) (sqrt.f64 1/18)))
(.f64 x (.f64 1/18 (*.f64 x x)))
(.f64 (.f64 (.f64 (cbrt.f64 1/18) x) (cbrt.f64 (.f64 (cbrt.f64 1/324) (.f64 x x)))) (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 1/324) (*.f64 x x)) 2)))
(.f64 (.f64 (.f64 1/18 x) (.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 (.f64 1/18 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (*.f64 x x)) x))
(.f64 (.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 1/18)) (cbrt.f64 (cbrt.f64 1/324))) (pow.f64 (cbrt.f64 (cbrt.f64 1/324)) 2))
(.f64 (.f64 1/18 (.f64 (.f64 x (cbrt.f64 x)) x)) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 1/18 (cbrt.f64 x)) (.f64 (cbrt.f64 (.f64 x x)) (*.f64 x x)))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 1/18 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 x (cbrt.f64 x)) (*.f64 1/18 x)))
(pow.f64 (*.f64 1/18 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 1/5832 (pow.f64 (pow.f64 x 3) 3)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 1/18) x) 3)
(cbrt.f64 (*.f64 1/5832 (pow.f64 (pow.f64 x 3) 3)))
(fma.f64 1 (.f64 2/3 x) (.f64 1/18 (pow.f64 x 3)))
(fma.f64 1 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 (.f64 (pow.f64 x 3) (cbrt.f64 1/18)) (cbrt.f64 1/324) (.f64 2/3 x))
(fma.f64 (cbrt.f64 1/18) (.f64 (cbrt.f64 1/324) (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 (.f64 x x) (.f64 1/18 x) (*.f64 2/3 x))
(fma.f64 (.f64 1/18 (pow.f64 x 3)) 1 (.f64 2/3 x))
(fma.f64 (.f64 1/18 x) (.f64 x x) (*.f64 2/3 x))
(fma.f64 (.f64 2/3 x) 1 (.f64 1/18 (pow.f64 x 3)))
(fma.f64 (.f64 x (cbrt.f64 2/3)) (cbrt.f64 4/9) (.f64 1/18 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 2/3) (.f64 (cbrt.f64 4/9) x) (.f64 1/18 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (.f64 x x) 8/27)) (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 2/3 x)) (cbrt.f64 (.f64 4/9 (.f64 x x))) (.f64 1/18 (pow.f64 x 3)))
(fma.f64 (.f64 (cbrt.f64 1/18) x) (.f64 (cbrt.f64 1/324) (.f64 x x)) (.f64 2/3 x))
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 2/3 x))
(fma.f64 (sqrt.f64 1/18) (.f64 (pow.f64 x 3) (sqrt.f64 1/18)) (.f64 2/3 x))
(fma.f64 (.f64 (cbrt.f64 1/324) (.f64 x x)) (.f64 (cbrt.f64 1/18) x) (.f64 2/3 x))
(fma.f64 (.f64 1/18 (.f64 x x)) x (*.f64 2/3 x))
(fma.f64 x (.f64 1/18 (.f64 x x)) (*.f64 2/3 x))
(fma.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/18)) (sqrt.f64 1/18) (.f64 2/3 x))
(fma.f64 (sqrt.f64 2/3) (.f64 x (sqrt.f64 2/3)) (.f64 1/18 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 8/27 x)) (cbrt.f64 (.f64 x x)) (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 4/9 (.f64 x x))) (cbrt.f64 (.f64 2/3 x)) (.f64 1/18 (pow.f64 x 3)))
(fma.f64 (.f64 x (sqrt.f64 2/3)) (sqrt.f64 2/3) (.f64 1/18 (pow.f64 x 3)))
(if (!=.f64 (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x)) 0) (/.f64 (fma.f64 1/324 (pow.f64 (.f64 x x) 3) (neg.f64 (.f64 4/9 (.f64 x x)))) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x))) (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)))
(if (!=.f64 (.f64 x (-.f64 2/3 (.f64 1/18 (.f64 x x)))) 0) (/.f64 (fma.f64 1/324 (pow.f64 (.f64 x x) 3) (neg.f64 (.f64 4/9 (.f64 x x)))) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x))) (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)))
(if (!=.f64 (fma.f64 4/9 (.f64 x x) (.f64 (.f64 1/18 (pow.f64 x 3)) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x)))) 0) (/.f64 (fma.f64 1/5832 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (.f64 2/3 x) 3)) (fma.f64 4/9 (.f64 x x) (.f64 (.f64 1/18 (pow.f64 x 3)) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x))))) (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)))
(if (!=.f64 (.f64 2/3 x) 0) (/.f64 (fma.f64 1/5832 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (.f64 2/3 x) 3)) (fma.f64 4/9 (.f64 x x) (.f64 (.f64 1/18 (pow.f64 x 3)) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x))))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))
(if (!=.f64 (.f64 1/18 (pow.f64 x 3)) 0) (/.f64 (fma.f64 1/5832 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (.f64 2/3 x) 3)) (fma.f64 4/9 (.f64 x x) (.f64 (.f64 1/18 (pow.f64 x 3)) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x))))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 2/3 x) (.f64 1/18 (pow.f64 x 3)))
(.f64 1 (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)))
(.f64 (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)) 1)
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))) 2))
(.f64 x (+.f64 (.f64 1/18 (*.f64 x x)) 2/3))
(.f64 x (+.f64 2/3 (.f64 1/18 (*.f64 x x))))
(.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x))) (cbrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) 2)))
(.f64 (+.f64 (.f64 (cbrt.f64 1/324) (.f64 x x)) (-.f64 (cbrt.f64 (.f64 4/9 (.f64 x x))) (.f64 x (cbrt.f64 (.f64 1/18 (.f64 2/3 x)))))) (+.f64 (.f64 (cbrt.f64 1/18) x) (cbrt.f64 (.f64 2/3 x))))
(.f64 (+.f64 (cbrt.f64 (.f64 4/9 (.f64 x x))) (-.f64 (.f64 (cbrt.f64 1/324) (.f64 x x)) (.f64 x (cbrt.f64 (.f64 1/18 (.f64 2/3 x)))))) (+.f64 (cbrt.f64 (.f64 2/3 x)) (.f64 (cbrt.f64 1/18) x)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)) 2)) (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))))
(.f64 (.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))) 2) 2))
(pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) 1)
(pow.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))) 3)
(cbrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) 3))

Outputs
(*.f64 2/3 x)
(.f64 1 (.f64 1/18 (pow.f64 x 3)))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 1/18 (pow.f64 x 3)) 1)
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 (pow.f64 x 3) (cbrt.f64 1/18)) (cbrt.f64 1/324))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 1/18 x) (*.f64 x x))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (cbrt.f64 1/18) (.f64 (cbrt.f64 1/324) (pow.f64 x 3)))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 x x) (*.f64 1/18 x))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 (cbrt.f64 1/324) (pow.f64 x 3)) (cbrt.f64 1/18))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (cbrt.f64 1/324) (.f64 (pow.f64 x 3) (cbrt.f64 1/18)))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 (.f64 1/18 x) (cbrt.f64 (.f64 x x))) (*.f64 x (cbrt.f64 x)))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 1/18)) (cbrt.f64 1/18)) (cbrt.f64 1/18))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 1/18)) 1) (cbrt.f64 1/324))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 (.f64 (cbrt.f64 1/324) (.f64 x x)) (cbrt.f64 (.f64 (cbrt.f64 1/18) x))) (cbrt.f64 (.f64 (cbrt.f64 1/324) (*.f64 x x))))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 1/324) (.f64 x x))) (.f64 (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 1/324) (.f64 x x)) 2)) (*.f64 (cbrt.f64 1/18) x)))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (cbrt.f64 (sqrt.f64 1/18)) (.f64 (cbrt.f64 (sqrt.f64 1/18)) (*.f64 (cbrt.f64 1/324) (pow.f64 x 3))))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (cbrt.f64 (cbrt.f64 1/18)) (.f64 (cbrt.f64 (cbrt.f64 1/324)) (*.f64 (cbrt.f64 1/324) (pow.f64 x 3))))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (.f64 1/18 (*.f64 x x))))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 x (cbrt.f64 x)) (.f64 (cbrt.f64 (.f64 x x)) (*.f64 1/18 x)))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (cbrt.f64 x) (.f64 (.f64 (cbrt.f64 (.f64 x x)) x) (*.f64 1/18 x)))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 (cbrt.f64 1/18) x) (.f64 (cbrt.f64 1/324) (.f64 x x)))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/18)
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 (cbrt.f64 1/324) (.f64 x x)) (.f64 (cbrt.f64 1/18) x))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/18)) (sqrt.f64 1/18))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 1/18 (*.f64 x x)) x)
(*.f64 1/18 (pow.f64 x 3))
(.f64 (sqrt.f64 1/18) (.f64 (pow.f64 x 3) (sqrt.f64 1/18)))
(*.f64 1/18 (pow.f64 x 3))
(.f64 x (.f64 1/18 (*.f64 x x)))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 (.f64 (cbrt.f64 1/18) x) (cbrt.f64 (.f64 (cbrt.f64 1/324) (.f64 x x)))) (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 1/324) (*.f64 x x)) 2)))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 (.f64 1/18 x) (.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 (.f64 1/18 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (*.f64 x x)) x))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 1/18)) (cbrt.f64 (cbrt.f64 1/324))) (pow.f64 (cbrt.f64 (cbrt.f64 1/324)) 2))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 1/18 (.f64 (.f64 x (cbrt.f64 x)) x)) (cbrt.f64 (*.f64 x x)))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (.f64 1/18 (cbrt.f64 x)) (.f64 (cbrt.f64 (.f64 x x)) (*.f64 x x)))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 1/18 (*.f64 x x))))
(*.f64 1/18 (pow.f64 x 3))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 x (cbrt.f64 x)) (*.f64 1/18 x)))
(*.f64 1/18 (pow.f64 x 3))
(pow.f64 (*.f64 1/18 (pow.f64 x 3)) 1)
(*.f64 1/18 (pow.f64 x 3))
(pow.f64 (*.f64 1/5832 (pow.f64 (pow.f64 x 3) 3)) 1/3)
(*.f64 1/18 (pow.f64 x 3))
(pow.f64 (*.f64 (cbrt.f64 1/18) x) 3)
(*.f64 1/18 (pow.f64 x 3))
(cbrt.f64 (*.f64 1/5832 (pow.f64 (pow.f64 x 3) 3)))
(*.f64 1/18 (pow.f64 x 3))
(fma.f64 1 (.f64 2/3 x) (.f64 1/18 (pow.f64 x 3)))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 1 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 (pow.f64 x 3) (cbrt.f64 1/18)) (cbrt.f64 1/324) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (cbrt.f64 1/18) (.f64 (cbrt.f64 1/324) (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 x x) (.f64 1/18 x) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 1/18 (pow.f64 x 3)) 1 (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 1/18 x) (.f64 x x) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 2/3 x) 1 (.f64 1/18 (pow.f64 x 3)))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 x (cbrt.f64 2/3)) (cbrt.f64 4/9) (.f64 1/18 (pow.f64 x 3)))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (cbrt.f64 2/3) (.f64 (cbrt.f64 4/9) x) (.f64 1/18 (pow.f64 x 3)))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (.f64 x x) 8/27)) (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (cbrt.f64 (.f64 2/3 x)) (cbrt.f64 (.f64 4/9 (.f64 x x))) (.f64 1/18 (pow.f64 x 3)))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 (cbrt.f64 1/18) x) (.f64 (cbrt.f64 1/324) (.f64 x x)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (sqrt.f64 1/18) (.f64 (pow.f64 x 3) (sqrt.f64 1/18)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 (cbrt.f64 1/324) (.f64 x x)) (.f64 (cbrt.f64 1/18) x) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 1/18 (.f64 x x)) x (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 x (.f64 1/18 (.f64 x x)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/18)) (sqrt.f64 1/18) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (sqrt.f64 2/3) (.f64 x (sqrt.f64 2/3)) (.f64 1/18 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 8/27 x)) (cbrt.f64 (.f64 x x)) (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (cbrt.f64 (.f64 4/9 (.f64 x x))) (cbrt.f64 (.f64 2/3 x)) (.f64 1/18 (pow.f64 x 3)))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 x (sqrt.f64 2/3)) (sqrt.f64 2/3) (.f64 1/18 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 2/3) (.f64 x (sqrt.f64 2/3)) (.f64 1/18 (pow.f64 x 3)))
(if (!=.f64 (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x)) 0) (/.f64 (fma.f64 1/324 (pow.f64 (.f64 x x) 3) (neg.f64 (.f64 4/9 (.f64 x x)))) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x))) (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)))
(if (!=.f64 (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x)) 0) (/.f64 (fma.f64 1/324 (pow.f64 (.f64 x x) 3) (.f64 -4/9 (.f64 x x))) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x))) (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)))
(if (!=.f64 (.f64 x (-.f64 2/3 (.f64 1/18 (.f64 x x)))) 0) (/.f64 (fma.f64 1/324 (pow.f64 (.f64 x x) 3) (neg.f64 (.f64 4/9 (.f64 x x)))) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x))) (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)))
(if (!=.f64 (.f64 x (+.f64 2/3 (.f64 -1/18 (.f64 x x)))) 0) (/.f64 (fma.f64 1/324 (pow.f64 (.f64 x x) 3) (.f64 -4/9 (.f64 x x))) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x))) (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)))
(if (!=.f64 (fma.f64 4/9 (.f64 x x) (.f64 (.f64 1/18 (pow.f64 x 3)) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x)))) 0) (/.f64 (fma.f64 1/5832 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (.f64 2/3 x) 3)) (fma.f64 4/9 (.f64 x x) (.f64 (.f64 1/18 (pow.f64 x 3)) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x))))) (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)))
(if (!=.f64 (fma.f64 4/9 (.f64 x x) (.f64 1/18 (.f64 (pow.f64 x 3) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x))))) 0) (/.f64 (fma.f64 1/5832 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (.f64 2/3 x) 3)) (fma.f64 4/9 (.f64 x x) (.f64 1/18 (.f64 (pow.f64 x 3) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x)))))) (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)))
(if (!=.f64 (.f64 2/3 x) 0) (/.f64 (fma.f64 1/5832 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (.f64 2/3 x) 3)) (fma.f64 4/9 (.f64 x x) (.f64 (.f64 1/18 (pow.f64 x 3)) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x))))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))
(if (!=.f64 (.f64 2/3 x) 0) (/.f64 (fma.f64 1/5832 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (.f64 2/3 x) 3)) (fma.f64 4/9 (.f64 x x) (.f64 1/18 (.f64 (pow.f64 x 3) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x)))))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))
(if (!=.f64 (.f64 1/18 (pow.f64 x 3)) 0) (/.f64 (fma.f64 1/5832 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (.f64 2/3 x) 3)) (fma.f64 4/9 (.f64 x x) (.f64 (.f64 1/18 (pow.f64 x 3)) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x))))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))
(if (!=.f64 (.f64 1/18 (pow.f64 x 3)) 0) (/.f64 (fma.f64 1/5832 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (.f64 2/3 x) 3)) (fma.f64 4/9 (.f64 x x) (.f64 1/18 (.f64 (pow.f64 x 3) (fma.f64 1/18 (pow.f64 x 3) (.f64 -2/3 x)))))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 2/3 x) (.f64 1/18 (pow.f64 x 3)))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 1 (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)) 1)
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))) 2))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (+.f64 (.f64 1/18 (*.f64 x x)) 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (+.f64 2/3 (.f64 1/18 (*.f64 x x))))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x))) (cbrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) 2)))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 (+.f64 (.f64 (cbrt.f64 1/324) (.f64 x x)) (-.f64 (cbrt.f64 (.f64 4/9 (.f64 x x))) (.f64 x (cbrt.f64 (.f64 1/18 (.f64 2/3 x)))))) (+.f64 (.f64 (cbrt.f64 1/18) x) (cbrt.f64 (.f64 2/3 x))))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 (+.f64 (cbrt.f64 (.f64 4/9 (.f64 x x))) (-.f64 (.f64 (cbrt.f64 1/324) (.f64 x x)) (.f64 x (cbrt.f64 (.f64 1/18 (.f64 2/3 x)))))) (+.f64 (cbrt.f64 (.f64 2/3 x)) (.f64 (cbrt.f64 1/18) x)))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)) 2)) (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 (.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))) 2) 2))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) 1)
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(pow.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) 3) 1/3)
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(pow.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))) 3)
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(cbrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) 3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))

localize29.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 -3/4 (sin.f64 x))
✓	0.2b	(/.f64 (-.f64 (cos.f64 x) 1) (*.f64 -3/4 (sin.f64 x)))
✓	2.1b	(-.f64 (cos.f64 x) 1)

Compiler

Compiled 25 to 14 computations (44% saved)

series28.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

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

Compiler

Compiled 1130 to 830 computations (26.5% saved)

rewrite172.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

253×	`egg-rr`
86×	`egg-rr`
53×	`egg-rr`

Counts

3 → 392

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 -1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cos.f64 x) 0) (+.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 -1 0) (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 0) (/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (/.f64 1 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (/.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 0) (/.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1)) 2) 0) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1)) (/.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1)) 2))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (/.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) 0) (/.f64 1 (/.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 x) 3) -1))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 -1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) 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3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 3) (pow.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))) (+.f64 (*.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 3) (+.f64 0 (+.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2) (*.f64 0 (-.f64 1 (cos.f64 x)))))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 3) (pow.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))) (+.f64 (*.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (/.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 3) (+.f64 0 (+.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2) (*.f64 0 (-.f64 1 (cos.f64 x)))))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if 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simplify1.0s (3.7%)

Algorithm

1×

egglog

Counts

404 → 551

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)))
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(.f64 (cbrt.f64 (.f64 -3/4 (sin.f64 x))) (cbrt.f64 (pow.f64 (*.f64 -3/4 (sin.f64 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 -3/4 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 -3/4 (sin.f64 x))))
(/.f64 (*.f64 -3/4 (sin.f64 x)) 1)
(/.f64 (/.f64 (*.f64 -3/4 (sin.f64 x)) -1) -1)
(/.f64 (*.f64 3/4 (sin.f64 x)) -1)
(/.f64 (sin.f64 x) -4/3)
(pow.f64 (pow.f64 (*.f64 -3/4 (sin.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -3/4 (sin.f64 x))) 3)
(pow.f64 (*.f64 -3/4 (sin.f64 x)) 1)
(neg.f64 (*.f64 3/4 (sin.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 -3/4 (sin.f64 x)) 3))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) (.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)))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/40320 (pow.f64 x 8)))))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 -3/4 x)
(+.f64 (.f64 -3/4 x) (.f64 1/8 (pow.f64 x 3)))
(fma.f64 -3/4 x (*.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 -3/4 x) (+.f64 (.f64 -1/160 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 -3/4 x (fma.f64 -1/160 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (.f64 1/6720 (pow.f64 x 7)) (+.f64 (.f64 -3/4 x) (+.f64 (.f64 -1/160 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))))
(fma.f64 1/6720 (pow.f64 x 7) (fma.f64 -3/4 x (fma.f64 -1/160 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))))
(fma.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)) -1)
(fma.f64 1 (cos.f64 x) -1)
(+.f64 (cos.f64 x) -1)
(fma.f64 -1 1 (cos.f64 x))
(fma.f64 1 -1 (cos.f64 x))
(+.f64 (cos.f64 x) -1)
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (cos.f64 x)) -1)
(fma.f64 (cos.f64 x) 1 -1)
(fma.f64 1 0 (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) -1)
(fma.f64 0 0 (+.f64 (cos.f64 x) -1))
(fma.f64 0 1 (+.f64 (cos.f64 x) -1))
(fma.f64 0 3 (+.f64 (cos.f64 x) -1))
(if (!=.f64 (cos.f64 x) 0) (+.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 -1 0) (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 0) (/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (/.f64 1 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (pow.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) -1) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (/.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 0) (/.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1)) 2) 0) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1)) (/.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1)) 2))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (/.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) 0) (/.f64 1 (/.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 x) 3) -1))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (-.f64 -1 (cos.f64 x)) 0) (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 -1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))) 0) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))) (.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))) (+.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 2) (pow.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 2)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (/.f64 (-.f64 0 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (/.f64 (neg.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 3) (pow.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))) (+.f64 (.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 3) (pow.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 2) (*.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 0 0) (/.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 3) (+.f64 0 (+.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2) (*.f64 0 (-.f64 1 (cos.f64 x)))))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 0 0) (/.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 3) (+.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2) 0)) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 3) (pow.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))) (+.f64 (.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 3) (pow.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 2) (*.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (/.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 3) (+.f64 0 (+.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2) (*.f64 0 (-.f64 1 (cos.f64 x)))))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (/.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 3) (+.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2) 0)) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (+.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))) (+.f64 (.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))) (.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 3) (pow.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))) (+.f64 (.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))) (.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 2) (.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 3) (pow.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 2) (.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2) (.f64 0 (-.f64 1 (cos.f64 x))))) 0) (/.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 3) (+.f64 0 (+.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2) (.f64 0 (-.f64 1 (cos.f64 x)))))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2) 0) 0) (/.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 3) (+.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2) 0)) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) -1)) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (pow.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) -1) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (+.f64 (cos.f64 x) 1) 0) (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (+.f64 (cos.f64 x) 1))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) 0) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) 0) (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (neg.f64 (cos.f64 x)))) 0) (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(if (!=.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (cos.f64 x))) 0) (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) -1)
(+.f64 -1 (cos.f64 x))
(+.f64 (cos.f64 x) -1)
(+.f64 0 (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) -1)
(+.f64 -1 (*.f64 (neg.f64 (cos.f64 x)) -1))
(fma.f64 (neg.f64 (cos.f64 x)) -1 -1)
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) -1) -1)
(fma.f64 (neg.f64 (cos.f64 x)) -1 -1)
(+.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (neg.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))
(-.f64 (cos.f64 x) 1)
(-.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 x) 1)
(-.f64 (+.f64 (cos.f64 x) 0) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (-.f64 0 (neg.f64 (cos.f64 x))) 1)
(-.f64 (neg.f64 (neg.f64 (cos.f64 x))) 1)
(-.f64 -1 (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 1) (/.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))
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(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (pow.f64 (/.f64 -4/3 (sin.f64 x)) 2))) (cbrt.f64 (.f64 -3/4 (sin.f64 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1)) (.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (/.f64 -4/3 (sin.f64 x)))) (cbrt.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))
(/.f64 (.f64 (cbrt.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (pow.f64 (+.f64 (cos.f64 x) -1) 2))) (/.f64 -4/3 (sin.f64 x))) (cbrt.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 -4/3 (sin.f64 x))) (neg.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -4/3) (neg.f64 (.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (/.f64 -4/3 (sin.f64 x)))) 1) (cbrt.f64 (pow.f64 (.f64 -3/4 (sin.f64 x)) 2)))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (/.f64 -4/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (.f64 -3/4 (sin.f64 x)) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (.f64 -3/4 (sin.f64 x)))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 -3/4 (sin.f64 x)) 2))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4/3) (cbrt.f64 (sin.f64 x))) 1) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) -4/3) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (/.f64 -4/3 (sin.f64 x))) 1) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) -4/3) (.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (cbrt.f64 -3/4)) (cbrt.f64 9/16))
(/.f64 (+.f64 (cos.f64 x) -1) (.f64 (.f64 (sin.f64 x) (cbrt.f64 -3/4)) (cbrt.f64 9/16)))
(/.f64 (/.f64 (.f64 (.f64 -3/4 (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (.f64 -3/4 (sin.f64 x))) (.f64 -3/4 (sin.f64 x)))
(/.f64 (.f64 (.f64 -3/4 (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (pow.f64 (*.f64 -3/4 (sin.f64 x)) 2))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) (cbrt.f64 -3/4))) (cbrt.f64 9/16))
(/.f64 (+.f64 (cos.f64 x) -1) (.f64 (.f64 (sin.f64 x) (cbrt.f64 -3/4)) (cbrt.f64 9/16)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (/.f64 (.f64 (.f64 -3/4 (sin.f64 x)) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (.f64 -3/4 (.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 3/4 (sin.f64 x)) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (.f64 3/4 (sin.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 -3/4 (sin.f64 x)) (neg.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (neg.f64 (.f64 -3/4 (.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (sin.f64 x)) (.f64 -3/4 -4/3)) (*.f64 -3/4 (sin.f64 x)))
(/.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (sin.f64 x) (neg.f64 1)) -3/4) (sin.f64 x))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) -4/3) -3/4) (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) (.f64 -3/4 (sin.f64 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) 1) (/.f64 (sin.f64 x) (sin.f64 x))) -3/4) (sin.f64 x))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (.f64 (.f64 3/4 (sin.f64 x)) (neg.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (neg.f64 (.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (.f64 3/4 (sin.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (neg.f64 (.f64 (.f64 -3/4 (sin.f64 x)) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (neg.f64 (.f64 -3/4 (.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (/.f64 -4/3 (sin.f64 x)))) (neg.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) -4/3) (.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x)) (sin.f64 x)))
(/.f64 (neg.f64 (.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (/.f64 -4/3 (sin.f64 x))))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 -3/4 (sin.f64 x)) 2))))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (/.f64 -4/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (.f64 -3/4 (sin.f64 x)) 2)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4/3) (sin.f64 x)) 3) 1/3)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4/3) (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4/3) (sin.f64 x))) 3)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4/3) (sin.f64 x))
(pow.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4/3) (sin.f64 x)) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4/3) (sin.f64 x))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 -3/4 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(neg.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 -3/4 (sin.f64 x))) 1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(neg.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) -4/3) (/.f64 1 (sin.f64 x))))
(neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (sin.f64 x)))
(neg.f64 (.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) -1) -4/3) (sin.f64 x)) -1))
(neg.f64 (/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4/3) (sin.f64 x)) -1))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4/3) (sin.f64 x)) 3))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -4/3) (sin.f64 x))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 0) (/.f64 (cbrt.f64 (.f64 -27/64 (sin.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (.f64 -3/4 (sin.f64 x)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) -3/4) 0) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) -3/4))) (*.f64 -3/4 (sin.f64 x)))
(if (!=.f64 (.f64 -3/4 (sin.f64 x)) 0) (/.f64 1 (/.f64 -4/3 (sin.f64 x))) (.f64 -3/4 (sin.f64 x)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 -3/4 (sin.f64 x)) 2)) 0) (/.f64 (cbrt.f64 (.f64 -3/4 (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 -4/3 (sin.f64 x)) 2))) (*.f64 -3/4 (sin.f64 x)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 -3/4 (sin.f64 x)) 2)) 0) (cbrt.f64 (/.f64 (.f64 -3/4 (sin.f64 x)) (pow.f64 (/.f64 -4/3 (sin.f64 x)) 2))) (*.f64 -3/4 (sin.f64 x)))
(if (!=.f64 (.f64 (cbrt.f64 9/16) (sin.f64 x)) 0) (/.f64 (cbrt.f64 -3/4) (/.f64 1 (.f64 (cbrt.f64 9/16) (sin.f64 x)))) (*.f64 -3/4 (sin.f64 x)))
(if (!=.f64 -3/4 0) (.f64 -3/4 (sin.f64 x)) (.f64 -3/4 (sin.f64 x)))
(if (!=.f64 (sin.f64 x) 0) (/.f64 -3/4 (/.f64 1 (sin.f64 x))) (*.f64 -3/4 (sin.f64 x)))
(if (!=.f64 1 0) (.f64 -3/4 (sin.f64 x)) (.f64 -3/4 (sin.f64 x)))
(if (!=.f64 (cbrt.f64 (.f64 -3/4 (sin.f64 x))) 0) (/.f64 (cbrt.f64 (pow.f64 (.f64 -3/4 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 -4/3 (sin.f64 x)))) (*.f64 -3/4 (sin.f64 x)))
(if (!=.f64 (cbrt.f64 (.f64 -3/4 (sin.f64 x))) 0) (cbrt.f64 (/.f64 (pow.f64 (.f64 -3/4 (sin.f64 x)) 2) (/.f64 -4/3 (sin.f64 x)))) (*.f64 -3/4 (sin.f64 x)))
(if (!=.f64 (cbrt.f64 9/16) 0) (/.f64 (.f64 (sin.f64 x) (cbrt.f64 -3/4)) (/.f64 1 (cbrt.f64 9/16))) (.f64 -3/4 (sin.f64 x)))
(-.f64 0 (*.f64 3/4 (sin.f64 x)))
(*.f64 (neg.f64 3/4) (sin.f64 x))
(*.f64 -3/4 (sin.f64 x))
(*.f64 (sin.f64 x) -3/4)
(*.f64 -3/4 (sin.f64 x))
(.f64 (cbrt.f64 (.f64 -27/64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -27/64 (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 -3/4)) (cbrt.f64 9/16))
(.f64 (cbrt.f64 -3/4) (.f64 (cbrt.f64 9/16) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 -3/4)) (cbrt.f64 9/16))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) -3/4))
(.f64 1 (.f64 -3/4 (sin.f64 x)))
(*.f64 -3/4 (sin.f64 x))
(.f64 (.f64 -3/4 (sin.f64 x)) 1)
(*.f64 -3/4 (sin.f64 x))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (.f64 -27/64 (sin.f64 x))))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -27/64 (sin.f64 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) -3/4) (cbrt.f64 (sin.f64 x)))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) -3/4))
(.f64 (.f64 (cbrt.f64 9/16) (sin.f64 x)) (cbrt.f64 -3/4))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 -3/4)) (cbrt.f64 9/16))
(.f64 (cbrt.f64 9/16) (.f64 (sin.f64 x) (cbrt.f64 -3/4)))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 -3/4)) (cbrt.f64 9/16))
(.f64 (.f64 (cbrt.f64 (.f64 -3/4 (sin.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 -3/4 (sin.f64 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -3/4 (sin.f64 x)))) 2) 2))
(.f64 (cbrt.f64 (.f64 -3/4 (sin.f64 x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 -3/4 (sin.f64 x)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -3/4 (sin.f64 x)))) 2) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 -3/4 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 -3/4))
(*.f64 -3/4 (sin.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -3/4 (sin.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (.f64 -3/4 (sin.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -3/4 (sin.f64 x)))) 2))
(*.f64 -3/4 (sin.f64 x))
(.f64 (.f64 (*.f64 (sin.f64 x) (cbrt.f64 -3/4)) (cbrt.f64 -3/4)) (cbrt.f64 -3/4))
(.f64 (.f64 (*.f64 (sin.f64 x) (cbrt.f64 -3/4)) 1) (cbrt.f64 9/16))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 -3/4)) (cbrt.f64 9/16))
(.f64 (.f64 (*.f64 (sin.f64 x) (cbrt.f64 -3/4)) (cbrt.f64 (cbrt.f64 9/16))) (pow.f64 (cbrt.f64 (cbrt.f64 9/16)) 2))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 -3/4)) (cbrt.f64 9/16))
(.f64 (.f64 (cbrt.f64 (*.f64 -27/64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))
(.f64 (cbrt.f64 (.f64 (*.f64 -27/64 (sin.f64 x)) (sin.f64 x))) (cbrt.f64 (sin.f64 x)))
(.f64 (.f64 (cbrt.f64 (*.f64 -27/64 (sin.f64 x))) 1) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -27/64 (sin.f64 x))))
(.f64 (.f64 (cbrt.f64 (*.f64 -27/64 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) 2))
(.f64 (cbrt.f64 (.f64 (*.f64 -27/64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) 2))
(.f64 -1 (.f64 3/4 (sin.f64 x)))
(*.f64 (neg.f64 3/4) (sin.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) -3/4)))
(.f64 (cbrt.f64 -3/4) (.f64 (*.f64 (cbrt.f64 9/16) (sin.f64 x)) 1))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 -3/4)) (cbrt.f64 9/16))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 -3/4 (sin.f64 x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 -3/4 (sin.f64 x)))) 2) 2) (cbrt.f64 (*.f64 -3/4 (sin.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 -3/4 (sin.f64 x)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 -3/4 (sin.f64 x)))) 2) 2)) (cbrt.f64 (*.f64 -3/4 (sin.f64 x))))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (cbrt.f64 -3/4) (cbrt.f64 (pow.f64 (*.f64 -3/4 (sin.f64 x)) 2))))
(.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (.f64 -3/4 (pow.f64 (*.f64 -3/4 (sin.f64 x)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 -3/4 (sin.f64 x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 -3/4 (sin.f64 x)))) 2) (cbrt.f64 (pow.f64 (*.f64 -3/4 (sin.f64 x)) 2))))
(*.f64 -3/4 (sin.f64 x))
(.f64 (cbrt.f64 -3/4) (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (*.f64 -3/4 (sin.f64 x)) 2))))
(*.f64 -3/4 (sin.f64 x))
(*.f64 3/4 (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 3/4) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) 3/4)
(*.f64 (neg.f64 3/4) (sin.f64 x))
(.f64 (cbrt.f64 (.f64 3/4 (sin.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 -3/4 (sin.f64 x)) 2))))
(neg.f64 (.f64 (cbrt.f64 (.f64 3/4 (sin.f64 x))) (cbrt.f64 (pow.f64 (*.f64 -3/4 (sin.f64 x)) 2))))
(.f64 (cbrt.f64 (.f64 -3/4 (sin.f64 x))) (cbrt.f64 (pow.f64 (*.f64 -3/4 (sin.f64 x)) 2)))
(*.f64 -3/4 (sin.f64 x))
(.f64 (cbrt.f64 (pow.f64 (.f64 -3/4 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 -3/4 (sin.f64 x))))
(*.f64 -3/4 (sin.f64 x))
(/.f64 (*.f64 -3/4 (sin.f64 x)) 1)
(*.f64 -3/4 (sin.f64 x))
(/.f64 (/.f64 (*.f64 -3/4 (sin.f64 x)) -1) -1)
(/.f64 (.f64 (.f64 -3/4 (sin.f64 x)) -1) -1)
(/.f64 (*.f64 3/4 (sin.f64 x)) -1)
(*.f64 (neg.f64 3/4) (sin.f64 x))
(/.f64 (sin.f64 x) -4/3)
(pow.f64 (pow.f64 (*.f64 -3/4 (sin.f64 x)) 3) 1/3)
(*.f64 -3/4 (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 -3/4 (sin.f64 x))) 3)
(*.f64 -3/4 (sin.f64 x))
(pow.f64 (*.f64 -3/4 (sin.f64 x)) 1)
(*.f64 -3/4 (sin.f64 x))
(neg.f64 (*.f64 3/4 (sin.f64 x)))
(*.f64 (neg.f64 3/4) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 -3/4 (sin.f64 x)) 3))
(*.f64 -3/4 (sin.f64 x))

localize31.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 (*.f64 x 1/2))
✓	0.2b	(.f64 3/4 (cos.f64 (.f64 x 1/2)))
✓	0.2b	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/4 (cos.f64 (*.f64 x 1/2))))

Compiler

Compiled 32 to 25 computations (21.9% saved)

series31.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 3/4 (cos.f64 (.f64 x 1/2)))
1.0ms	x	@	-inf	(.f64 3/4 (cos.f64 (.f64 x 1/2)))
1.0ms	x	@	inf	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/4 (cos.f64 (*.f64 x 1/2))))
1.0ms	x	@	-inf	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/4 (cos.f64 (*.f64 x 1/2))))
1.0ms	x	@	0	(.f64 3/4 (cos.f64 (.f64 x 1/2)))

Compiler

Compiled 1130 to 930 computations (17.7% saved)

rewrite185.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

146×	`egg-rr`
52×	`egg-rr`

Counts

2 → 198

Calls

Call 1

Inputs
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/4 (cos.f64 (*.f64 x 1/2))))
(.f64 3/4 (cos.f64 (.f64 x 1/2)))

Outputs

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#<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 3/4)) (*.f64 (cbrt.f64 (sqrt.f64 3/4)) (*.f64 (cbrt.f64 9/16) (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 -3/4 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (pow.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/4 (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))) -3/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/4 (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -3/4 (cos.f64 (*.f64 x 1/2)))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -3/4 (cos.f64 (*.f64 x 1/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2)))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/4 (neg.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 -3/4 (cos.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (*.f64 -3/4 (cos.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -3/4 (cos.f64 (*.f64 x 1/2)))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -3/4 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -3/4 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))) 3))))))

simplify313.0ms (1.1%)

Algorithm

1×

egglog

Counts

222 → 283

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(+.f64 (.f64 -1/61440 (pow.f64 x 6)) (+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 4/3))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 1 (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 1 0) (.f64 4/3 (tan.f64 (.f64 x 1/2))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 9/16)) 0) (/.f64 (cbrt.f64 4/3) (/.f64 (cos.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 9/16)))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sqrt.f64 4/3)) 0) (/.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 27/64))) (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sqrt.f64 4/3)))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 4/3) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 4/3))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 0) (/.f64 1 (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) 0) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (/.f64 (cos.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 4/3 0) (.f64 4/3 (tan.f64 (.f64 x 1/2))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) 0) (/.f64 (sqrt.f64 4/3) (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 4/3)))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 4/3))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 -1 (/.f64 (.f64 -3/4 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (.f64 -3/4 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) 2))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) 0) (/.f64 1 (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (.f64 -3/4 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(-.f64 (/.f64 0 (.f64 -3/4 (cos.f64 (.f64 x 1/2)))) (.f64 (tan.f64 (.f64 x 1/2)) -4/3))
(-.f64 0 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) 2))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) (/.f64 1 (.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 3/4))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2)) 3/4)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 3/4))) (/.f64 1 (cbrt.f64 9/16)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 4/3)) (/.f64 1 (.f64 (cbrt.f64 9/16) (cos.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 27/64))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 3/4))))
(.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)) 3/4)))
(.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 3/4))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2))
(.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 27/64 (cos.f64 (.f64 x 1/2))))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2))))
(.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) 2))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2))))))
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(pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)
(neg.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))
(neg.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1))
(cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3))
(-.f64 0 (.f64 -3/4 (cos.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 3/4)) (cbrt.f64 9/16))
(.f64 (.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 3/4)) (sqrt.f64 3/4))
(.f64 (cbrt.f64 (.f64 27/64 (cos.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)))
(.f64 (cbrt.f64 3/4) (.f64 (cbrt.f64 9/16) (cos.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 3/4) (.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 3/4)))
(.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)) 3/4))
(.f64 (cbrt.f64 9/16) (.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 3/4)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)) 3/4) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (.f64 27/64 (cos.f64 (.f64 x 1/2)))))
(.f64 (.f64 (cbrt.f64 9/16) (cos.f64 (*.f64 x 1/2))) (cbrt.f64 3/4))
(.f64 (.f64 (.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 3/4)) (sqrt.f64 (sqrt.f64 3/4))) (sqrt.f64 (sqrt.f64 3/4)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 3/4)) (cbrt.f64 (sqrt.f64 3/4))) (cbrt.f64 3/4))
(.f64 (.f64 (cbrt.f64 (.f64 27/64 (cos.f64 (.f64 x 1/2)))) 1) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2)))
(.f64 (.f64 (cbrt.f64 (.f64 27/64 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2)))) 2) 2))
(.f64 (.f64 (cbrt.f64 (.f64 27/64 (cos.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 3/4)) (cbrt.f64 (cbrt.f64 9/16))) (pow.f64 (cbrt.f64 (cbrt.f64 9/16)) 2))
(.f64 (.f64 (.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 3/4)) 1) (cbrt.f64 9/16))
(.f64 (.f64 (.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 3/4)) (cbrt.f64 3/4)) (cbrt.f64 3/4))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))) 2))
(.f64 (.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))) 2) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))) 2) 2) (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))))
(.f64 (sqrt.f64 (sqrt.f64 3/4)) (.f64 (sqrt.f64 (sqrt.f64 3/4)) (.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 3/4))))
(.f64 (cbrt.f64 (sqrt.f64 3/4)) (.f64 (cbrt.f64 3/4) (.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 3/4))))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2)))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)) 3/4)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))) 2) (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) 2))))
(.f64 (cbrt.f64 3/4) (.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2))) 2))))
(.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 3/4) (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 3/4)) (.f64 (cbrt.f64 (cbrt.f64 9/16)) (.f64 (cbrt.f64 9/16) (cos.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (sqrt.f64 3/4)) (.f64 (cbrt.f64 (sqrt.f64 3/4)) (.f64 (cbrt.f64 9/16) (cos.f64 (.f64 x 1/2)))))
(.f64 (neg.f64 (cbrt.f64 (.f64 -3/4 (cos.f64 (.f64 x 1/2))))) (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2))) 2)))
(.f64 -3/4 (neg.f64 (cos.f64 (.f64 x 1/2))))
(.f64 1 (.f64 3/4 (cos.f64 (*.f64 x 1/2))))
(.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) -3/4)
(.f64 3/4 (cos.f64 (.f64 x 1/2)))
(.f64 (cbrt.f64 (.f64 -3/4 (cos.f64 (.f64 x 1/2)))) (neg.f64 (pow.f64 (cbrt.f64 (.f64 -3/4 (cos.f64 (*.f64 x 1/2)))) 2)))
(.f64 (cos.f64 (.f64 x 1/2)) 3/4)
(.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2)))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2))) 2)))))
(.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2))) 1)
(.f64 (neg.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))) 3/4)
(.f64 3/4 (neg.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (neg.f64 (cbrt.f64 (.f64 -3/4 (cos.f64 (.f64 x 1/2))))) (pow.f64 (cbrt.f64 (.f64 -3/4 (cos.f64 (*.f64 x 1/2)))) 2))
(.f64 (cbrt.f64 (.f64 -3/4 (cos.f64 (.f64 x 1/2)))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2))) 2))))
(.f64 -1 (.f64 -3/4 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) 1)
(pow.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) 3) 1/3)
(neg.f64 (.f64 -3/4 (cos.f64 (.f64 x 1/2))))
(cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) 3))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 3/4 (.f64 -3/32 (.f64 x x)))
(+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (.f64 -3/32 (pow.f64 x 2))))
(fma.f64 1/512 (pow.f64 x 4) (+.f64 3/4 (.f64 -3/32 (.f64 x x))))
(+.f64 (.f64 -1/61440 (pow.f64 x 6)) (+.f64 (.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))))
(fma.f64 -1/61440 (pow.f64 x 6) (fma.f64 1/512 (pow.f64 x 4) (+.f64 3/4 (.f64 -3/32 (.f64 x x)))))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 4/3))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 (cos.f64 (.f64 1/2 x)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) 4/3))) (.f64 (tan.f64 (*.f64 1/2 x)) 4/3))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 1 (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 (sin.f64 (.f64 1/2 x)) 0) (/.f64 1 (/.f64 (.f64 3/4 (cos.f64 (.f64 1/2 x))) (sin.f64 (.f64 1/2 x)))) (.f64 (tan.f64 (.f64 1/2 x)) 4/3))
(if (!=.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (/.f64 (.f64 3/4 (cos.f64 (.f64 1/2 x))) (cbrt.f64 (sin.f64 (.f64 1/2 x))))) (.f64 (tan.f64 (*.f64 1/2 x)) 4/3))
(if (!=.f64 1 0) (.f64 4/3 (tan.f64 (.f64 x 1/2))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 1 0) (.f64 (tan.f64 (.f64 1/2 x)) 4/3) (.f64 (tan.f64 (.f64 1/2 x)) 4/3))
(if (!=.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 9/16)) 0) (/.f64 (cbrt.f64 4/3) (/.f64 (cos.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 9/16)))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 9/16)) 0) (/.f64 (cbrt.f64 4/3) (/.f64 (cos.f64 (.f64 1/2 x)) (/.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 9/16)))) (.f64 (tan.f64 (*.f64 1/2 x)) 4/3))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sqrt.f64 4/3)) 0) (/.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 27/64))) (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sqrt.f64 4/3)))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sqrt.f64 4/3)) 0) (/.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 27/64))) (/.f64 (cos.f64 (.f64 1/2 x)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sqrt.f64 4/3)))) (.f64 (tan.f64 (.f64 1/2 x)) 4/3))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 4/3) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 4/3))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) 4/3) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 (cos.f64 (.f64 1/2 x)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) 4/3))) (.f64 (tan.f64 (.f64 1/2 x)) 4/3))
(if (!=.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 0) (/.f64 1 (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (.f64 4/3 (sin.f64 (.f64 1/2 x))) 0) (/.f64 1 (/.f64 (.f64 3/4 (cos.f64 (.f64 1/2 x))) (sin.f64 (.f64 1/2 x)))) (.f64 (tan.f64 (*.f64 1/2 x)) 4/3))
(if (!=.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) 0) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (/.f64 (cos.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (sin.f64 (.f64 1/2 x)))) 2) 0) (/.f64 (cbrt.f64 (.f64 4/3 (sin.f64 (.f64 1/2 x)))) (/.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (.f64 4/3 (sin.f64 (.f64 1/2 x)))) 2))) (.f64 (tan.f64 (*.f64 1/2 x)) 4/3))
(if (!=.f64 4/3 0) (.f64 4/3 (tan.f64 (.f64 x 1/2))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 4/3 0) (.f64 (tan.f64 (.f64 1/2 x)) 4/3) (.f64 (tan.f64 (.f64 1/2 x)) 4/3))
(if (!=.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) 0) (/.f64 (sqrt.f64 4/3) (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 4/3)))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 4/3)) 0) (/.f64 (sqrt.f64 4/3) (/.f64 (cos.f64 (.f64 1/2 x)) (.f64 (sin.f64 (.f64 1/2 x)) (sqrt.f64 4/3)))) (.f64 (tan.f64 (*.f64 1/2 x)) 4/3))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 4/3))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (/.f64 (cos.f64 (.f64 1/2 x)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) 4/3))) (.f64 (tan.f64 (*.f64 1/2 x)) 4/3))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 -1 (/.f64 (.f64 -3/4 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 (sin.f64 (.f64 1/2 x)) 0) (/.f64 -1 (/.f64 (.f64 -3/4 (cos.f64 (.f64 1/2 x))) (sin.f64 (.f64 1/2 x)))) (.f64 (tan.f64 (.f64 1/2 x)) 4/3))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (.f64 -3/4 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) 2))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 1/2 x)))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 1/2 x)))) (/.f64 (.f64 -3/4 (cos.f64 (.f64 1/2 x))) (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 1/2 x)))) 2))) (.f64 (tan.f64 (*.f64 1/2 x)) 4/3))
(if (!=.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) 0) (/.f64 1 (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 (neg.f64 (sin.f64 (.f64 1/2 x))) 0) (/.f64 1 (/.f64 (.f64 3/4 (cos.f64 (.f64 1/2 x))) (sin.f64 (.f64 1/2 x)))) (.f64 (tan.f64 (.f64 1/2 x)) 4/3))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 0) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (.f64 -3/4 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) 0) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 1/2 x)))) (/.f64 (.f64 -3/4 (cos.f64 (.f64 1/2 x))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)))) (.f64 (tan.f64 (*.f64 1/2 x)) 4/3))
(-.f64 (/.f64 0 (.f64 -3/4 (cos.f64 (.f64 x 1/2)))) (.f64 (tan.f64 (.f64 x 1/2)) -4/3))
(+.f64 (/.f64 0 (cos.f64 (.f64 1/2 x))) (.f64 (tan.f64 (*.f64 1/2 x)) 4/3))
(-.f64 0 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))))
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(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) (pow.f64 (cbrt.f64 (.f64 -3/4 (cos.f64 (*.f64 x 1/2)))) 2))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 (/.f64 4/3 (cos.f64 (.f64 1/2 x))))) (pow.f64 (cbrt.f64 (.f64 -3/4 (cos.f64 (*.f64 1/2 x)))) 2))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (.f64 -3/4 (cos.f64 (*.f64 x 1/2))))
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3)
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3) 1/3)
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(neg.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(neg.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1))
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3))
(.f64 (tan.f64 (.f64 1/2 x)) 4/3)
(-.f64 0 (.f64 -3/4 (cos.f64 (.f64 x 1/2))))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2))) 2)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2)))))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 3/4)) (cbrt.f64 9/16))
(.f64 (.f64 (cos.f64 (*.f64 1/2 x)) (cbrt.f64 3/4)) (cbrt.f64 9/16))
(.f64 (.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 3/4)) (sqrt.f64 3/4))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 (.f64 27/64 (cos.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)))
(cbrt.f64 (.f64 (.f64 27/64 (cos.f64 (.f64 1/2 x))) (pow.f64 (cos.f64 (.f64 1/2 x)) 2)))
(.f64 (cbrt.f64 3/4) (.f64 (cbrt.f64 9/16) (cos.f64 (*.f64 x 1/2))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 x)) (cbrt.f64 3/4)) (cbrt.f64 9/16))
(.f64 (sqrt.f64 3/4) (.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 3/4)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)) 3/4))
(cbrt.f64 (.f64 (.f64 27/64 (cos.f64 (.f64 1/2 x))) (pow.f64 (cos.f64 (.f64 1/2 x)) 2)))
(.f64 (cbrt.f64 9/16) (.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 3/4)))
(.f64 (.f64 (cos.f64 (*.f64 1/2 x)) (cbrt.f64 3/4)) (cbrt.f64 9/16))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)) 3/4) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(cbrt.f64 (.f64 (.f64 27/64 (cos.f64 (.f64 1/2 x))) (pow.f64 (cos.f64 (.f64 1/2 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (.f64 27/64 (cos.f64 (.f64 x 1/2)))))
(cbrt.f64 (.f64 (.f64 27/64 (cos.f64 (.f64 1/2 x))) (pow.f64 (cos.f64 (.f64 1/2 x)) 2)))
(.f64 (.f64 (cbrt.f64 9/16) (cos.f64 (*.f64 x 1/2))) (cbrt.f64 3/4))
(.f64 (.f64 (cos.f64 (*.f64 1/2 x)) (cbrt.f64 3/4)) (cbrt.f64 9/16))
(.f64 (.f64 (.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 3/4)) (sqrt.f64 (sqrt.f64 3/4))) (sqrt.f64 (sqrt.f64 3/4)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 3/4)) (cbrt.f64 (sqrt.f64 3/4))) (cbrt.f64 3/4))
(.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 x)) (sqrt.f64 3/4)) (cbrt.f64 (sqrt.f64 3/4))) (cbrt.f64 3/4))
(.f64 (.f64 (cbrt.f64 (.f64 27/64 (cos.f64 (.f64 x 1/2)))) 1) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2)))
(cbrt.f64 (.f64 (.f64 27/64 (cos.f64 (.f64 1/2 x))) (pow.f64 (cos.f64 (.f64 1/2 x)) 2)))
(.f64 (.f64 (cbrt.f64 (.f64 27/64 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2)))) 2) 2))
(.f64 (.f64 (cbrt.f64 (.f64 27/64 (cos.f64 (.f64 1/2 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x)))) 2) 2))
(.f64 (.f64 (cbrt.f64 (.f64 27/64 (cos.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (.f64 (.f64 27/64 (cos.f64 (.f64 1/2 x))) (cos.f64 (.f64 1/2 x)))) (cbrt.f64 (cos.f64 (.f64 1/2 x))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 3/4)) (cbrt.f64 (cbrt.f64 9/16))) (pow.f64 (cbrt.f64 (cbrt.f64 9/16)) 2))
(.f64 (.f64 (cos.f64 (*.f64 1/2 x)) (cbrt.f64 3/4)) (cbrt.f64 9/16))
(.f64 (.f64 (.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 3/4)) 1) (cbrt.f64 9/16))
(.f64 (.f64 (cos.f64 (*.f64 1/2 x)) (cbrt.f64 3/4)) (cbrt.f64 9/16))
(.f64 (.f64 (.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 3/4)) (cbrt.f64 3/4)) (cbrt.f64 3/4))
(.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 x)) (cbrt.f64 3/4)) (cbrt.f64 3/4)) (cbrt.f64 3/4))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))) 2))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))) 2) 2))
(.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 1/2 x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 1/2 x))))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 1/2 x))))) 2) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))) 2) 2) (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 1/2 x))))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 1/2 x))))) 2) 2)) (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 1/2 x)))))
(.f64 (sqrt.f64 (sqrt.f64 3/4)) (.f64 (sqrt.f64 (sqrt.f64 3/4)) (.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 3/4))))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 (sqrt.f64 3/4)) (.f64 (cbrt.f64 3/4) (.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 3/4))))
(.f64 (cbrt.f64 (sqrt.f64 3/4)) (.f64 (cbrt.f64 3/4) (.f64 (cos.f64 (.f64 1/2 x)) (sqrt.f64 3/4))))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2)))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)) 3/4)))
(cbrt.f64 (.f64 (.f64 27/64 (cos.f64 (.f64 1/2 x))) (pow.f64 (cos.f64 (.f64 1/2 x)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))) 2) (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) 2))))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 3/4) (.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2))) 2))))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 3/4) (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2))) 2))))
(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x))) (cbrt.f64 (.f64 3/4 (pow.f64 (.f64 3/4 (cos.f64 (*.f64 1/2 x))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 3/4)) (.f64 (cbrt.f64 (cbrt.f64 9/16)) (.f64 (cbrt.f64 9/16) (cos.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (cbrt.f64 3/4)) (.f64 (cbrt.f64 (cbrt.f64 9/16)) (.f64 (cbrt.f64 9/16) (cos.f64 (.f64 1/2 x)))))
(.f64 (cbrt.f64 (sqrt.f64 3/4)) (.f64 (cbrt.f64 (sqrt.f64 3/4)) (.f64 (cbrt.f64 9/16) (cos.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (sqrt.f64 3/4)) (.f64 (cbrt.f64 (sqrt.f64 3/4)) (.f64 (cbrt.f64 9/16) (cos.f64 (.f64 1/2 x)))))
(.f64 (neg.f64 (cbrt.f64 (.f64 -3/4 (cos.f64 (.f64 x 1/2))))) (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2))) 2)))
(neg.f64 (.f64 (cbrt.f64 (.f64 -3/4 (cos.f64 (.f64 1/2 x)))) (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (*.f64 1/2 x))) 2))))
(.f64 -3/4 (neg.f64 (cos.f64 (.f64 x 1/2))))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 1 (.f64 3/4 (cos.f64 (*.f64 x 1/2))))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) -3/4)
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 3/4 (cos.f64 (.f64 x 1/2)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 (.f64 -3/4 (cos.f64 (.f64 x 1/2)))) (neg.f64 (pow.f64 (cbrt.f64 (.f64 -3/4 (cos.f64 (*.f64 x 1/2)))) 2)))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (cos.f64 (.f64 x 1/2)) 3/4)
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2)))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2))) 2)))))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2))) 1)
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (neg.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))) 3/4)
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 3/4 (neg.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (neg.f64 (cbrt.f64 (.f64 -3/4 (cos.f64 (.f64 x 1/2))))) (pow.f64 (cbrt.f64 (.f64 -3/4 (cos.f64 (*.f64 x 1/2)))) 2))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 (.f64 -3/4 (cos.f64 (.f64 x 1/2)))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (*.f64 x 1/2))) 2))))
(neg.f64 (.f64 (cbrt.f64 (.f64 -3/4 (cos.f64 (.f64 1/2 x)))) (cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (*.f64 1/2 x))) 2))))
(.f64 -1 (.f64 -3/4 (cos.f64 (*.f64 x 1/2))))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) 1)
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(pow.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) 1)
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(pow.f64 (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2)))) 3)
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(pow.f64 (pow.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) 3) 1/3)
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(neg.f64 (.f64 -3/4 (cos.f64 (.f64 x 1/2))))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))
(cbrt.f64 (pow.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) 3))
(.f64 3/4 (cos.f64 (.f64 1/2 x)))

eval507.0ms (1.8%)

Compiler: Compiled 25010 to 18050 computations (27.8% saved)

prune262.0ms (0.9%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1183	3	1186
Fresh	3	4	7
Picked	0	1	1
Done	1	4	5
Total	1187	12	1199

Error

Counts

1199 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.8b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
	0.8b	(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 3/4)) (sqrt.f64 3/4))
✓	32.9b	(/.f64 (-.f64 (cos.f64 x) 1) (*.f64 -3/4 (sin.f64 x)))
▶	32.9b	(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (sin.f64 x))
✓	28.6b	(/.f64 (*.f64 x 2) 3)
✓	0.2b	(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
✓	0.2b	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/4 (cos.f64 (*.f64 x 1/2))))
▶	0.4b	(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
	0.4b	(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
▶	0.4b	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
▶	29.3b	(.f64 x (+.f64 (.f64 1/18 (*.f64 x x)) 2/3))
✓	28.8b	(*.f64 2/3 x)

Compiler

Compiled 187 to 154 computations (17.6% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series9.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
0.0ms	x	@	-inf	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
0.0ms	x	@	inf	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)

Compiler

Compiled 690 to 560 computations (18.8% saved)

rewrite127.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

126× egg-rr

Counts

1 → 126

Calls

Call 1

Inputs
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (sin.f64 (*.f64 x -1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change 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(cbrt.f64 16/9) (*.f64 (sin.f64 (*.f64 x -1/2)) (cbrt.f64 4/3))) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x -1/2))) (*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) 4/3)) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x -1/2)) (/.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (cbrt.f64 4/3) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) 3) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 4/3) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 4/3 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x -1/2)) (neg.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2) (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 x -1/2)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 (*.f64 x -1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 4/3 (tan.f64 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (*.f64 x -1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))))))

simplify515.0ms (1.9%)

Algorithm

1×

egglog

Counts

138 → 155

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(if (!=.f64 4/3 0) (.f64 (tan.f64 (.f64 x 1/2)) 4/3) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 (sin.f64 (.f64 x -1/2)) 0) (/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 -1 0) (.f64 (tan.f64 (.f64 x 1/2)) 4/3) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 0) (/.f64 1 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) -1)) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 2 0) (.f64 (tan.f64 (.f64 x 1/2)) 4/3) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 1 0) (.f64 (tan.f64 (.f64 x 1/2)) 4/3) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(+.f64 (.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1/2) (.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1/2))
(+.f64 (.f64 1/2 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (.f64 1/2 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(.f64 (cbrt.f64 (.f64 (.f64 64/27 (tan.f64 (.f64 x 1/2))) (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) 2)) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (.f64 64/27 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 4/3)) (.f64 (cbrt.f64 (cbrt.f64 16/9)) (.f64 (cbrt.f64 16/9) (tan.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 2))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 4/3 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2))))
(.f64 (cbrt.f64 (/.f64 64/27 (cos.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 64/27 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 2)))
(.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (sqrt.f64 4/3))) (.f64 (cbrt.f64 4/3) (sqrt.f64 4/3)))
(.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (sqrt.f64 4/3))) (.f64 (cbrt.f64 (sqrt.f64 4/3)) (cbrt.f64 16/9)))
(.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (cbrt.f64 16/9))) (.f64 (cbrt.f64 (cbrt.f64 256/81)) (cbrt.f64 4/3)))
(.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (cbrt.f64 4/3))) (.f64 (cbrt.f64 (cbrt.f64 16/9)) (cbrt.f64 16/9)))
(.f64 (.f64 (cbrt.f64 16/9) (cbrt.f64 (cbrt.f64 4/3))) (.f64 (cbrt.f64 (cbrt.f64 16/9)) (tan.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (cbrt.f64 4/3)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 16/9)) (cbrt.f64 16/9)) (tan.f64 (.f64 x 1/2))))
(.f64 (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))))
(.f64 (cbrt.f64 (.f64 64/27 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2))) (cbrt.f64 4/3)) 3))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (sqrt.f64 4/3))) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 4/3) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 4/3))) (cbrt.f64 (.f64 (cbrt.f64 16/9) (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 4/3) (pow.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2))))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3))) (cbrt.f64 (.f64 (sqrt.f64 4/3) (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) 4/3)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 64/27 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (pow.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2))))
(.f64 (cbrt.f64 (cbrt.f64 4/3)) (cbrt.f64 (.f64 (.f64 (cbrt.f64 16/9) (tan.f64 (.f64 x 1/2))) (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 2))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)))) (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 4/3))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (.f64 64/27 (tan.f64 (.f64 x 1/2)))))
(.f64 (.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 4/3)) (cbrt.f64 (cbrt.f64 16/9))) (cbrt.f64 (cbrt.f64 256/81)))
(.f64 (cbrt.f64 4/3) (.f64 (cbrt.f64 16/9) (tan.f64 (*.f64 x 1/2))))
(.f64 (.f64 (cbrt.f64 16/9) (tan.f64 (*.f64 x 1/2))) (cbrt.f64 4/3))
(.f64 (.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) (cbrt.f64 (sqrt.f64 4/3))) (cbrt.f64 4/3))
(.f64 (.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) (sqrt.f64 (sqrt.f64 4/3))) (sqrt.f64 (sqrt.f64 4/3)))
(.f64 (cbrt.f64 (sqrt.f64 4/3)) (.f64 (cbrt.f64 4/3) (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3))))
(.f64 (sqrt.f64 (sqrt.f64 4/3)) (.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) (sqrt.f64 (sqrt.f64 4/3))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (sqrt.f64 4/3)) (.f64 (cbrt.f64 (sqrt.f64 4/3)) (.f64 (cbrt.f64 16/9) (tan.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 4/3) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2))))
(.f64 (cbrt.f64 (.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) 2)))
(.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (/.f64 1 (cos.f64 (.f64 x 1/2))))
(.f64 1 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (cbrt.f64 (.f64 16/9 64/27)))) (cbrt.f64 (cbrt.f64 256/81)))
(.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (sqrt.f64 (.f64 4/3 256/81)))) (cbrt.f64 (sqrt.f64 4/3)))
(.f64 (.f64 (tan.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 16/9) (cbrt.f64 (cbrt.f64 4/3)))) (cbrt.f64 (cbrt.f64 16/9)))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (sqrt.f64 4/3))) (sqrt.f64 (sqrt.f64 64/27)))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (sqrt.f64 64/27))) (sqrt.f64 (sqrt.f64 4/3)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 16/9 64/27))) (.f64 (cbrt.f64 (cbrt.f64 256/81)) (tan.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 4/3 256/81))) (.f64 (cbrt.f64 (sqrt.f64 4/3)) (tan.f64 (.f64 x 1/2))))
(.f64 (sqrt.f64 (sqrt.f64 4/3)) (.f64 (sqrt.f64 (sqrt.f64 64/27)) (tan.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (sqrt.f64 64/27)) (.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (sqrt.f64 4/3))))
(.f64 (cbrt.f64 (sqrt.f64 4/3)) (.f64 (.f64 (cbrt.f64 4/3) (sqrt.f64 4/3)) (tan.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (sqrt.f64 4/3)) (.f64 (.f64 (cbrt.f64 (sqrt.f64 4/3)) (cbrt.f64 16/9)) (tan.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (cbrt.f64 16/9)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 256/81)) (cbrt.f64 4/3)) (tan.f64 (.f64 x 1/2))))
(.f64 (/.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1) -1)
(.f64 (.f64 4/3 (sin.f64 (.f64 x -1/2))) (neg.f64 (/.f64 1 (cos.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 64/27 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))) (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (cbrt.f64 4/3))) (cbrt.f64 (.f64 (cbrt.f64 16/9) (tan.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 4/3)))) (cbrt.f64 (cbrt.f64 16/9)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 2) (cbrt.f64 (.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (cbrt.f64 (.f64 64/27 (tan.f64 (.f64 x 1/2)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)))) (cbrt.f64 (sqrt.f64 4/3)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 16/9)) (cbrt.f64 4/3))
(.f64 (cbrt.f64 (sqrt.f64 4/3)) (cbrt.f64 (.f64 (.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 4/3)) (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))))
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 4/3)) (cbrt.f64 16/9))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 4/3)) (sqrt.f64 4/3))
(.f64 (sqrt.f64 4/3) (.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 4/3)))
(.f64 (cbrt.f64 16/9) (.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 4/3)))
(.f64 (/.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2) 2)
(/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 4/3) (neg.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 64/27 (tan.f64 (.f64 x 1/2))) (tan.f64 (.f64 x 1/2)))) (neg.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (neg.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 4/3)) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) (sin.f64 (.f64 x 1/2)))) 4/3) (.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 1))
(/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) 4/3) (.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 1))
(/.f64 (.f64 (.f64 4/3 (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2))) (.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 1))
(/.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 64/27 (pow.f64 (tan.f64 (.f64 x 1/2)) 2))))) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2))))
(/.f64 (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x -1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 64/27 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3))
(/.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 4/3) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 64/27 (tan.f64 (.f64 x 1/2))) (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 4/3) (cbrt.f64 (sin.f64 (.f64 x -1/2)))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 64/27 (tan.f64 (.f64 x 1/2))) (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (sin.f64 (.f64 x -1/2)))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (cbrt.f64 16/9) (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 4/3))) (cos.f64 (.f64 x 1/2)))
(/.f64 (.f64 (cbrt.f64 16/9) (.f64 (sin.f64 (.f64 x -1/2)) (cbrt.f64 4/3))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x -1/2))) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 4/3)) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) 4/3))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3)))
(/.f64 (pow.f64 (.f64 (cbrt.f64 4/3) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) 3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) 4/3) (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)))
(/.f64 (.f64 (.f64 4/3 (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2)))
(/.f64 (neg.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) -1)
(/.f64 (sin.f64 (.f64 x -1/2)) (neg.f64 (/.f64 (cos.f64 (.f64 x 1/2)) 4/3)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (.f64 4/3 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (cbrt.f64 (.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 4/3))
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 3)
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(neg.f64 (.f64 -1 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(neg.f64 (.f64 (tan.f64 (.f64 x -1/2)) 4/3))
(neg.f64 (.f64 (sin.f64 (.f64 x -1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(neg.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1))
(neg.f64 (.f64 4/3 (tan.f64 (.f64 x -1/2))))
(neg.f64 (/.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3)))
(neg.f64 (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 3))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(if (!=.f64 4/3 0) (.f64 (tan.f64 (.f64 x 1/2)) 4/3) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 4/3 0) (.f64 4/3 (tan.f64 (.f64 1/2 x))) (.f64 4/3 (tan.f64 (.f64 1/2 x))))
(if (!=.f64 (sin.f64 (.f64 x -1/2)) 0) (/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 (sin.f64 (.f64 x -1/2)) 0) (/.f64 4/3 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))) (.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(if (!=.f64 -1 0) (.f64 (tan.f64 (.f64 x 1/2)) 4/3) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 -1 0) (.f64 4/3 (tan.f64 (.f64 1/2 x))) (.f64 4/3 (tan.f64 (.f64 1/2 x))))
(if (!=.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 0) (/.f64 1 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) -1)) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x))) 0) (pow.f64 (/.f64 3/4 (tan.f64 (.f64 1/2 x))) -1) (.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(if (!=.f64 (sin.f64 (.f64 1/2 x)) 0) (/.f64 4/3 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))) (.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(if (!=.f64 2 0) (.f64 (tan.f64 (.f64 x 1/2)) 4/3) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 2 0) (.f64 4/3 (tan.f64 (.f64 1/2 x))) (.f64 4/3 (tan.f64 (.f64 1/2 x))))
(if (!=.f64 1 0) (.f64 (tan.f64 (.f64 x 1/2)) 4/3) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 1 0) (.f64 4/3 (tan.f64 (.f64 1/2 x))) (.f64 4/3 (tan.f64 (.f64 1/2 x))))
(+.f64 (.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1/2) (.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1/2))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(+.f64 (.f64 1/2 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (.f64 1/2 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 (.f64 (.f64 64/27 (tan.f64 (.f64 x 1/2))) (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) 2)) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (.f64 64/27 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2)) 64/27)) (cbrt.f64 (tan.f64 (.f64 1/2 x)))))
(.f64 (cbrt.f64 (cbrt.f64 4/3)) (.f64 (cbrt.f64 (cbrt.f64 16/9)) (.f64 (cbrt.f64 16/9) (tan.f64 (.f64 x 1/2)))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 4/3)) (cbrt.f64 (.f64 (cbrt.f64 16/9) 16/9))) (tan.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))))
(cbrt.f64 (.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x)))) (.f64 (cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x))) 2)) (pow.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x))) 2))))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2)))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2)) (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 2))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 4/3 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 2)) 3/4) (cbrt.f64 (cos.f64 (*.f64 1/2 x)))))
(.f64 (cbrt.f64 (/.f64 64/27 (cos.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 2)) 3/4) (cbrt.f64 (cos.f64 (*.f64 1/2 x)))))
(.f64 (.f64 (cbrt.f64 (.f64 64/27 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 2)))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (sqrt.f64 4/3))) (.f64 (cbrt.f64 4/3) (sqrt.f64 4/3)))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 (.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (sqrt.f64 4/3))) (.f64 (cbrt.f64 (sqrt.f64 4/3)) (cbrt.f64 16/9)))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
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(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x -1/2))) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) 4/3)) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x -1/2))) (cbrt.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 2))) -4/3) (cbrt.f64 (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) 4/3))
(/.f64 (.f64 (sin.f64 (.f64 x -1/2)) -4/3) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3)))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (pow.f64 (.f64 (cbrt.f64 4/3) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) 3) (cos.f64 (*.f64 x 1/2)))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) 4/3) (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 2)) 3/4) (cbrt.f64 (cos.f64 (*.f64 1/2 x)))))
(/.f64 (.f64 (.f64 4/3 (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 x)) 64/27)) (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 x)) (tan.f64 (.f64 1/2 x))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2)))
(/.f64 (neg.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) -1)
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x -1/2)) (neg.f64 (/.f64 (cos.f64 (.f64 x 1/2)) 4/3)))
(/.f64 (.f64 (sin.f64 (.f64 x -1/2)) -4/3) (cos.f64 (*.f64 1/2 x)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2) (.f64 4/3 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (cbrt.f64 (.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 2))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 4/3))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 3) 1/3)
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 3)
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(neg.f64 (.f64 -1 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(neg.f64 (.f64 (tan.f64 (.f64 x -1/2)) 4/3))
(.f64 -4/3 (tan.f64 (.f64 x -1/2)))
(neg.f64 (.f64 (sin.f64 (.f64 x -1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x -1/2)) -4/3) (cos.f64 (*.f64 1/2 x)))
(neg.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(neg.f64 (.f64 4/3 (tan.f64 (.f64 x -1/2))))
(.f64 -4/3 (tan.f64 (.f64 x -1/2)))
(neg.f64 (/.f64 (sin.f64 (.f64 x -1/2)) (/.f64 (cos.f64 (.f64 x 1/2)) 4/3)))
(/.f64 (.f64 (sin.f64 (.f64 x -1/2)) -4/3) (cos.f64 (*.f64 1/2 x)))
(neg.f64 (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 3))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/18 (.f64 x x)) 2/3)
✓	0.2b	(.f64 x (+.f64 (.f64 1/18 (*.f64 x x)) 2/3))
✓	0.2b	(.f64 1/18 (.f64 x x))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series37.0ms (0.1%)

Counts

3 → 9

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 x (+.f64 (.f64 1/18 (*.f64 x x)) 2/3))
1.0ms	x	@	inf	(.f64 1/18 (.f64 x x))
1.0ms	x	@	0	(.f64 1/18 (.f64 x x))
1.0ms	x	@	0	(.f64 x (+.f64 (.f64 1/18 (*.f64 x x)) 2/3))
1.0ms	x	@	-inf	(.f64 x (+.f64 (.f64 1/18 (*.f64 x x)) 2/3))

Compiler

Compiled 1390 to 1170 computations (15.8% saved)

rewrite179.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

77×	`egg-rr`
67×	`egg-rr`
47×	`egg-rr`

Counts

3 → 191

Calls

Call 1

Inputs
(.f64 1/18 (.f64 x x))
(.f64 x (+.f64 (.f64 1/18 (*.f64 x x)) 2/3))
(+.f64 (.f64 1/18 (.f64 x x)) 2/3)

Outputs

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1/324))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/18)) (sqrt.f64 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/18) (*.f64 (cbrt.f64 1/324) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/18) (*.f64 (*.f64 x x) (sqrt.f64 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 x (cbrt.f64 x)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/5832 (*.f64 x x))) (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/324) (*.f64 x x)) (cbrt.f64 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/324) (*.f64 (*.f64 x x) (cbrt.f64 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 1/18 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (cbrt.f64 x)) 1/18) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 (*.f64 1/5832 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/18 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/18)) 1) (cbrt.f64 1/324))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/18)) (cbrt.f64 1/18)) (cbrt.f64 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/18)) (cbrt.f64 (cbrt.f64 1/324))) (pow.f64 (cbrt.f64 (cbrt.f64 1/324)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 1/18) x) x) (sqrt.f64 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 1/18 x) (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 1/18 x) (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> 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pow.f64 (cbrt.f64 (*.f64 1/18 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/18 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/18 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/18) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/18 (*.f64 x x)) 3))))))

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3) 1/18) 1 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/18 (*.f64 x x)))) (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/18 (*.f64 x x)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/18 (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)) x) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 x 3) 1/18) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 1/18 (*.f64 x x))) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 8/27 x)) (cbrt.f64 (*.f64 x x)) (*.f64 (pow.f64 x 3) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) 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x) 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/5832 8/27) (neg.f64 (+.f64 4/9 (*.f64 (*.f64 x x) (-.f64 (*.f64 1/324 (*.f64 x x)) 1/27))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 3))))))

simplify1.3s (4.6%)

Algorithm

1×

egglog

Counts

200 → 228

Calls

Call 1

Inputs
(*.f64 1/18 (pow.f64 x 2))
(*.f64 1/18 (pow.f64 x 2))
(*.f64 1/18 (pow.f64 x 2))
(*.f64 1/18 (pow.f64 x 2))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
2/3
(.f64 (cbrt.f64 (.f64 1/18 (.f64 x x))) (.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)))
(.f64 (.f64 (sqrt.f64 1/18) x) (*.f64 (sqrt.f64 1/18) x))
(.f64 1/18 (.f64 x x))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)) (cbrt.f64 (.f64 1/18 (*.f64 x x))))
(.f64 1 (.f64 1/18 (*.f64 x x)))
(.f64 (.f64 1/18 (*.f64 x x)) 1)
(.f64 (.f64 1/18 x) x)
(.f64 x (.f64 1/18 x))
(.f64 (.f64 (.f64 1/18 x) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(.f64 (.f64 (*.f64 x x) (cbrt.f64 1/18)) (cbrt.f64 1/324))
(.f64 (.f64 (*.f64 x x) (sqrt.f64 1/18)) (sqrt.f64 1/18))
(.f64 (cbrt.f64 1/18) (.f64 (cbrt.f64 1/324) (*.f64 x x)))
(.f64 (sqrt.f64 1/18) (.f64 (*.f64 x x) (sqrt.f64 1/18)))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 x (cbrt.f64 x)) 1/18))
(.f64 (cbrt.f64 (.f64 1/5832 (.f64 x x))) (.f64 x (cbrt.f64 x)))
(.f64 (.f64 (cbrt.f64 1/324) (*.f64 x x)) (cbrt.f64 1/18))
(.f64 (cbrt.f64 1/324) (.f64 (*.f64 x x) (cbrt.f64 1/18)))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 1/18 x) (cbrt.f64 x)))
(.f64 (.f64 (.f64 x (cbrt.f64 x)) 1/18) (cbrt.f64 (.f64 x x)))
(.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (.f64 1/5832 (.f64 x x))))
(.f64 (.f64 (.f64 1/18 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (.f64 (.f64 x x) (cbrt.f64 1/18)) 1) (cbrt.f64 1/324))
(.f64 (.f64 (.f64 (.f64 x x) (cbrt.f64 1/18)) (cbrt.f64 1/18)) (cbrt.f64 1/18))
(.f64 (.f64 (.f64 (.f64 x x) (cbrt.f64 1/18)) (cbrt.f64 (cbrt.f64 1/324))) (pow.f64 (cbrt.f64 (cbrt.f64 1/324)) 2))
(.f64 (.f64 (*.f64 (sqrt.f64 1/18) x) x) (sqrt.f64 1/18))
(.f64 (.f64 (.f64 (.f64 1/18 x) (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (.f64 (.f64 (.f64 1/18 x) (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 x))
(.f64 (.f64 (.f64 (.f64 1/18 x) (cbrt.f64 x)) 1) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 (cbrt.f64 (.f64 1/18 (.f64 x x))) (cbrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)))) (cbrt.f64 (pow.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)) 2)))
(.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 1/18)) 1) (sqrt.f64 1/18))
(.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 1/18)) (sqrt.f64 (sqrt.f64 1/18))) (sqrt.f64 (sqrt.f64 1/18)))
(.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 1/18)) (cbrt.f64 (sqrt.f64 1/18))) (cbrt.f64 1/18))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (.f64 1/18 x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (.f64 x (cbrt.f64 x)) 1/18)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (.f64 (.f64 x (cbrt.f64 x)) 1/18)))
(.f64 (cbrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324))) (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)) 2)) (cbrt.f64 (.f64 1/18 (.f64 x x)))))
(.f64 (sqrt.f64 (sqrt.f64 1/18)) (.f64 (sqrt.f64 (sqrt.f64 1/18)) (.f64 (.f64 x x) (sqrt.f64 1/18))))
(.f64 (cbrt.f64 (sqrt.f64 1/18)) (.f64 (cbrt.f64 1/18) (.f64 (.f64 x x) (sqrt.f64 1/18))))
(.f64 (sqrt.f64 1/18) (.f64 (.f64 (.f64 x x) (sqrt.f64 1/18)) 1))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 (*.f64 x (cbrt.f64 x)) 1/18) 1))
(.f64 (cbrt.f64 1/18) (.f64 (.f64 (cbrt.f64 1/324) (.f64 x x)) 1))
(pow.f64 (cbrt.f64 (.f64 1/18 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 1/18 (.f64 x x)) 3) 1/3)
(pow.f64 (.f64 1/18 (.f64 x x)) 1)
(pow.f64 (*.f64 (sqrt.f64 1/18) x) 2)
(cbrt.f64 (pow.f64 (.f64 1/18 (.f64 x x)) 3))
(fma.f64 (.f64 (pow.f64 x 3) 1/18) 1 (.f64 x 2/3))
(fma.f64 (.f64 x (cbrt.f64 (.f64 1/18 (.f64 x x)))) (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)) (.f64 x 2/3))
(fma.f64 (.f64 (.f64 1/18 (.f64 x x)) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (*.f64 x 2/3))
(fma.f64 (cbrt.f64 (.f64 1/18 (.f64 x x))) (.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)) x) (.f64 x 2/3))
(fma.f64 1 (.f64 (pow.f64 x 3) 1/18) (.f64 x 2/3))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (.f64 1/18 (.f64 x x))) (*.f64 x 2/3))
(fma.f64 (cbrt.f64 (.f64 8/27 x)) (cbrt.f64 (.f64 x x)) (*.f64 (pow.f64 x 3) 1/18))
(fma.f64 1 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
(fma.f64 (cbrt.f64 2/3) (.f64 (cbrt.f64 4/9) x) (.f64 (pow.f64 x 3) 1/18))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (.f64 x x) 8/27)) (*.f64 (pow.f64 x 3) 1/18))
(fma.f64 (.f64 1/18 (.f64 x x)) x (*.f64 x 2/3))
(fma.f64 x (.f64 1/18 (.f64 x x)) (*.f64 x 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 (.f64 (cbrt.f64 1/18) x) (.f64 (cbrt.f64 1/324) (.f64 x x)) (.f64 x 2/3))
(fma.f64 (.f64 1/18 x) (.f64 x x) (*.f64 x 2/3))
(fma.f64 (.f64 x x) (.f64 1/18 x) (*.f64 x 2/3))
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 x 2/3))
(fma.f64 x 2/3 (*.f64 (pow.f64 x 3) 1/18))
(fma.f64 2/3 x (*.f64 (pow.f64 x 3) 1/18))
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(.f64 (cbrt.f64 (fma.f64 1/18 (.f64 x x) 2/3)) (cbrt.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 2)))
(.f64 (+.f64 (cbrt.f64 4/9) (-.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)) (cbrt.f64 (.f64 (.f64 x x) 1/27)))) (+.f64 (cbrt.f64 2/3) (cbrt.f64 (.f64 1/18 (*.f64 x x)))))
(.f64 (+.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)) (-.f64 (cbrt.f64 4/9) (cbrt.f64 (.f64 (.f64 x x) 1/27)))) (+.f64 (cbrt.f64 (.f64 1/18 (*.f64 x x))) (cbrt.f64 2/3)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 1/18 (.f64 x x) 2/3) 2)) (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)))
(.f64 (/.f64 1 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27)))) (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27))
(.f64 (.f64 (cbrt.f64 (fma.f64 1/18 (.f64 x x) 2/3)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (.f64 x x) 2/3))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) 2) 2))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/18 (.f64 x x)) 3) 3) 512/19683) (/.f64 1 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))))) (-.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/18 (.f64 x x)) 3) 2) 64/729) (pow.f64 (.f64 (*.f64 x x) 1/27) 3)))
(/.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (cbrt.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))))) (pow.f64 (cbrt.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27)))) 2))
(/.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) 1) (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/18 (.f64 x x)) 3) 3) 512/19683) (.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))) (-.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/18 (.f64 x x)) 3) 2) 64/729) (pow.f64 (.f64 (*.f64 x x) 1/27) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/18 (.f64 x x)) 3) 3) 512/19683) 1) (.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/18 (.f64 x x)) 3) 2) 64/729) (pow.f64 (.f64 (.f64 x x) 1/27) 3)) (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27)) (neg.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27))) (neg.f64 (neg.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27))))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/18 (.f64 x x) 2/3) 2)) (cbrt.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27))) (cbrt.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27)))))
(/.f64 (.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27)) (cbrt.f64 (pow.f64 (fma.f64 1/18 (.f64 x x) 2/3) 2))) (cbrt.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27)))))
(/.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27)) 1) (neg.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27)))))
(pow.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) 3)
(pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 1)
(pow.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 3) 1/3)
(neg.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (neg.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27))))))
(cbrt.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 3))

Outputs
(*.f64 1/18 (pow.f64 x 2))
(.f64 (.f64 x x) 1/18)
(*.f64 1/18 (pow.f64 x 2))
(.f64 (.f64 x x) 1/18)
(*.f64 1/18 (pow.f64 x 2))
(.f64 (.f64 x x) 1/18)
(*.f64 1/18 (pow.f64 x 2))
(.f64 (.f64 x x) 1/18)
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
2/3
(.f64 (cbrt.f64 (.f64 1/18 (.f64 x x))) (.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (sqrt.f64 1/18) x) (*.f64 (sqrt.f64 1/18) x))
(.f64 (.f64 x x) 1/18)
(.f64 1/18 (.f64 x x))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)) (cbrt.f64 (.f64 1/18 (*.f64 x x))))
(.f64 (.f64 x x) 1/18)
(.f64 1 (.f64 1/18 (*.f64 x x)))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 1/18 (*.f64 x x)) 1)
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 1/18 x) x)
(.f64 (.f64 x x) 1/18)
(.f64 x (.f64 1/18 x))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (.f64 1/18 x) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (*.f64 x x) (cbrt.f64 1/18)) (cbrt.f64 1/324))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (*.f64 x x) (sqrt.f64 1/18)) (sqrt.f64 1/18))
(.f64 (.f64 x x) 1/18)
(.f64 (cbrt.f64 1/18) (.f64 (cbrt.f64 1/324) (*.f64 x x)))
(.f64 (.f64 x x) 1/18)
(.f64 (sqrt.f64 1/18) (.f64 (*.f64 x x) (sqrt.f64 1/18)))
(.f64 (.f64 x x) 1/18)
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 x (cbrt.f64 x)) 1/18))
(.f64 (.f64 x x) 1/18)
(.f64 (cbrt.f64 (.f64 1/5832 (.f64 x x))) (.f64 x (cbrt.f64 x)))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (cbrt.f64 1/324) (*.f64 x x)) (cbrt.f64 1/18))
(.f64 (.f64 x x) 1/18)
(.f64 (cbrt.f64 1/324) (.f64 (*.f64 x x) (cbrt.f64 1/18)))
(.f64 (.f64 x x) 1/18)
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 1/18 x) (cbrt.f64 x)))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (.f64 x (cbrt.f64 x)) 1/18) (cbrt.f64 (.f64 x x)))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (.f64 1/5832 (.f64 x x))))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (.f64 1/18 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (.f64 (.f64 x x) (cbrt.f64 1/18)) 1) (cbrt.f64 1/324))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (.f64 (.f64 x x) (cbrt.f64 1/18)) (cbrt.f64 1/18)) (cbrt.f64 1/18))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (.f64 (.f64 x x) (cbrt.f64 1/18)) (cbrt.f64 (cbrt.f64 1/324))) (pow.f64 (cbrt.f64 (cbrt.f64 1/324)) 2))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (*.f64 (sqrt.f64 1/18) x) x) (sqrt.f64 1/18))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (.f64 (.f64 1/18 x) (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (.f64 (.f64 1/18 x) (cbrt.f64 (.f64 x (cbrt.f64 (.f64 x x))))) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (.f64 (.f64 (.f64 1/18 x) (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 x))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (.f64 (.f64 1/18 x) (cbrt.f64 x)) 1) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (cbrt.f64 (.f64 1/18 (.f64 x x))) (cbrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)))) (cbrt.f64 (pow.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)) 2)))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 1/18)) 1) (sqrt.f64 1/18))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 1/18)) (sqrt.f64 (sqrt.f64 1/18))) (sqrt.f64 (sqrt.f64 1/18)))
(.f64 (.f64 x x) 1/18)
(.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 1/18)) (cbrt.f64 (sqrt.f64 1/18))) (cbrt.f64 1/18))
(.f64 (.f64 x x) 1/18)
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (.f64 1/18 x)))
(.f64 (.f64 x x) 1/18)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (.f64 x (cbrt.f64 x)) 1/18)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (.f64 x (cbrt.f64 (.f64 x 1/5832)))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (.f64 (.f64 x (cbrt.f64 x)) 1/18)))
(.f64 (.f64 x x) 1/18)
(.f64 (cbrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324))) (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)) 2)) (cbrt.f64 (.f64 1/18 (.f64 x x)))))
(.f64 (.f64 x x) 1/18)
(.f64 (sqrt.f64 (sqrt.f64 1/18)) (.f64 (sqrt.f64 (sqrt.f64 1/18)) (.f64 (.f64 x x) (sqrt.f64 1/18))))
(.f64 (.f64 x x) 1/18)
(.f64 (cbrt.f64 (sqrt.f64 1/18)) (.f64 (cbrt.f64 1/18) (.f64 (.f64 x x) (sqrt.f64 1/18))))
(.f64 (.f64 x x) 1/18)
(.f64 (sqrt.f64 1/18) (.f64 (.f64 (.f64 x x) (sqrt.f64 1/18)) 1))
(.f64 (.f64 x x) 1/18)
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 (*.f64 x (cbrt.f64 x)) 1/18) 1))
(.f64 (.f64 x x) 1/18)
(.f64 (cbrt.f64 1/18) (.f64 (.f64 (cbrt.f64 1/324) (.f64 x x)) 1))
(.f64 (.f64 x x) 1/18)
(pow.f64 (cbrt.f64 (.f64 1/18 (.f64 x x))) 3)
(.f64 (.f64 x x) 1/18)
(pow.f64 (pow.f64 (.f64 1/18 (.f64 x x)) 3) 1/3)
(.f64 (.f64 x x) 1/18)
(pow.f64 (.f64 1/18 (.f64 x x)) 1)
(.f64 (.f64 x x) 1/18)
(pow.f64 (*.f64 (sqrt.f64 1/18) x) 2)
(.f64 (.f64 x x) 1/18)
(cbrt.f64 (pow.f64 (.f64 1/18 (.f64 x x)) 3))
(.f64 (.f64 x x) 1/18)
(fma.f64 (.f64 (pow.f64 x 3) 1/18) 1 (.f64 x 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 x (cbrt.f64 (.f64 1/18 (.f64 x x)))) (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)) (.f64 x 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 (.f64 1/18 (.f64 x x)) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (*.f64 x 2/3))
(fma.f64 (.f64 1/18 (.f64 (.f64 x x) (cbrt.f64 x))) (cbrt.f64 (.f64 x x)) (*.f64 2/3 x))
(fma.f64 (cbrt.f64 (.f64 1/18 (.f64 x x))) (.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)) x) (.f64 x 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 1 (.f64 (pow.f64 x 3) 1/18) (.f64 x 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (.f64 1/18 (.f64 x x))) (*.f64 x 2/3))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 1/5832 (.f64 x x))) (.f64 x x)) (*.f64 2/3 x))
(fma.f64 (cbrt.f64 (.f64 8/27 x)) (cbrt.f64 (.f64 x x)) (*.f64 (pow.f64 x 3) 1/18))
(fma.f64 (cbrt.f64 (.f64 8/27 x)) (cbrt.f64 (.f64 x x)) (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 1 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (cbrt.f64 2/3) (.f64 (cbrt.f64 4/9) x) (.f64 (pow.f64 x 3) 1/18))
(fma.f64 (cbrt.f64 2/3) (.f64 (cbrt.f64 4/9) x) (.f64 1/18 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (.f64 x x) 8/27)) (*.f64 (pow.f64 x 3) 1/18))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 1/18 (.f64 x x)) x (*.f64 x 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 x (.f64 1/18 (.f64 x x)) (*.f64 x 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 (cbrt.f64 1/18) x) (.f64 (cbrt.f64 1/324) (.f64 x x)) (.f64 x 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 1/18 x) (.f64 x x) (*.f64 x 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 x x) (.f64 1/18 x) (*.f64 x 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 x 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 x 2/3 (*.f64 (pow.f64 x 3) 1/18))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 (pow.f64 x 3) 1/18))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 x (cbrt.f64 2/3)) (cbrt.f64 4/9) (.f64 (pow.f64 x 3) 1/18))
(fma.f64 (.f64 x (cbrt.f64 2/3)) (cbrt.f64 4/9) (.f64 1/18 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 x 2/3)) (cbrt.f64 (.f64 4/9 (.f64 x x))) (.f64 (pow.f64 x 3) 1/18))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (.f64 x (sqrt.f64 2/3)) (sqrt.f64 2/3) (.f64 (pow.f64 x 3) 1/18))
(fma.f64 (.f64 x (sqrt.f64 2/3)) (sqrt.f64 2/3) (.f64 1/18 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 2/3) (.f64 x (sqrt.f64 2/3)) (.f64 (pow.f64 x 3) 1/18))
(fma.f64 (.f64 x (sqrt.f64 2/3)) (sqrt.f64 2/3) (.f64 1/18 (pow.f64 x 3)))
(if (!=.f64 (+.f64 (.f64 1/324 (pow.f64 (.f64 x x) 3)) (.f64 (.f64 x 2/3) (-.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18)))) 0) (/.f64 (+.f64 (.f64 1/5832 (pow.f64 (pow.f64 x 3) 3)) (pow.f64 (.f64 x 2/3) 3)) (+.f64 (.f64 1/324 (pow.f64 (.f64 x x) 3)) (.f64 (.f64 x 2/3) (-.f64 (.f64 x 2/3) (.f64 (pow.f64 x 3) 1/18))))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))
(if (!=.f64 (fma.f64 (fma.f64 x 2/3 (.f64 -1/18 (pow.f64 x 3))) (.f64 2/3 x) (.f64 1/324 (pow.f64 (.f64 x x) 3))) 0) (/.f64 (fma.f64 1/5832 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (.f64 2/3 x) 3)) (fma.f64 (fma.f64 x 2/3 (.f64 -1/18 (pow.f64 x 3))) (.f64 2/3 x) (.f64 1/324 (pow.f64 (.f64 x x) 3)))) (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)))
(if (!=.f64 x 0) (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (/.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))) x)) (fma.f64 1/18 (pow.f64 x 3) (.f64 x 2/3)))
(if (!=.f64 x 0) (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (/.f64 (fma.f64 (.f64 x x) (fma.f64 1/324 (.f64 x x) -1/27) 4/9) x)) (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)))
(if (!=.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) 0) (/.f64 x (/.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))) (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))
(if (!=.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) 0) (/.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 1/324 (.f64 x x) -1/27) 4/9) (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))
(if (!=.f64 (.f64 x (fma.f64 1/18 (.f64 x x) -2/3)) 0) (/.f64 (-.f64 (.f64 1/324 (pow.f64 (.f64 x x) 3)) (.f64 4/9 (.f64 x x))) (.f64 x (fma.f64 1/18 (.f64 x x) -2/3))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))
(if (!=.f64 (.f64 x (fma.f64 1/18 (.f64 x x) -2/3)) 0) (/.f64 (fma.f64 1/324 (pow.f64 (.f64 x x) 3) (.f64 -4/9 (.f64 x x))) (.f64 x (fma.f64 1/18 (.f64 x x) -2/3))) (fma.f64 1/18 (pow.f64 x 3) (.f64 2/3 x)))
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(if (!=.f64 2/3 0) (fma.f64 1/18 (.f64 x x) 2/3) (fma.f64 1/18 (.f64 x x) 2/3))
(if (!=.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))) 0) (fma.f64 1/18 (.f64 x x) 2/3) (fma.f64 1/18 (.f64 x x) 2/3))
(if (!=.f64 (fma.f64 (.f64 x x) (fma.f64 1/324 (.f64 x x) -1/27) 4/9) 0) (fma.f64 1/18 (.f64 x x) 2/3) (fma.f64 1/18 (.f64 x x) 2/3))
(if (!=.f64 (fma.f64 1/18 (.f64 x x) -2/3) 0) (/.f64 (fma.f64 1/324 (pow.f64 (.f64 x x) 2) -4/9) (fma.f64 1/18 (.f64 x x) -2/3)) (fma.f64 1/18 (.f64 x x) 2/3))
(if (!=.f64 (-.f64 2/3 (.f64 1/18 (.f64 x x))) 0) (/.f64 (fma.f64 1/324 (pow.f64 (.f64 x x) 2) -4/9) (fma.f64 1/18 (.f64 x x) -2/3)) (fma.f64 1/18 (*.f64 x x) 2/3))
(if (!=.f64 (+.f64 2/3 (.f64 -1/18 (.f64 x x))) 0) (/.f64 (fma.f64 1/324 (pow.f64 (.f64 x x) 2) -4/9) (fma.f64 1/18 (.f64 x x) -2/3)) (fma.f64 1/18 (*.f64 x x) 2/3))
(if (!=.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27)) 2) 0) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27)) (/.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27)) 2))) (fma.f64 1/18 (.f64 x x) 2/3))
(if (!=.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27)) 2) 0) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 1/324 (.f64 x x) -1/27) 4/9) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27)) 2))) (fma.f64 1/18 (.f64 x x) 2/3))
(if (!=.f64 (fma.f64 1/18 (.f64 x x) 2/3) 0) (/.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))) (/.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))) (fma.f64 1/18 (.f64 x x) 2/3))) (fma.f64 1/18 (*.f64 x x) 2/3))
(if (!=.f64 (fma.f64 1/18 (.f64 x x) 2/3) 0) (/.f64 (fma.f64 (.f64 x x) (fma.f64 1/324 (.f64 x x) -1/27) 4/9) (/.f64 (fma.f64 (.f64 x x) (fma.f64 1/324 (.f64 x x) -1/27) 4/9) (fma.f64 1/18 (.f64 x x) 2/3))) (fma.f64 1/18 (*.f64 x x) 2/3))
(if (!=.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) 0) (/.f64 1 (/.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))) (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27))) (fma.f64 1/18 (*.f64 x x) 2/3))
(if (!=.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) 0) (/.f64 1 (/.f64 (fma.f64 (.f64 x x) (fma.f64 1/324 (.f64 x x) -1/27) 4/9) (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27))) (fma.f64 1/18 (*.f64 x x) 2/3))
(+.f64 (.f64 1/18 (.f64 x x)) 2/3)
(fma.f64 1/18 (*.f64 x x) 2/3)
(+.f64 2/3 (.f64 1/18 (.f64 x x)))
(fma.f64 1/18 (*.f64 x x) 2/3)
(.f64 1 (fma.f64 1/18 (.f64 x x) 2/3))
(fma.f64 1/18 (*.f64 x x) 2/3)
(.f64 (fma.f64 1/18 (.f64 x x) 2/3) 1)
(fma.f64 1/18 (*.f64 x x) 2/3)
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/18 (.f64 x x) 2/3) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (.f64 x x) 2/3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) 2))
(fma.f64 1/18 (*.f64 x x) 2/3)
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (.f64 x x) 2/3))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (.f64 x x) 2/3))) 2) (cbrt.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 2))))
(fma.f64 1/18 (*.f64 x x) 2/3)
(.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27)) (.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27)) 2) (/.f64 1 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (fma.f64 (.f64 x x) (fma.f64 1/324 (*.f64 x x) -1/27) 4/9))
(.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))) (.f64 (fma.f64 1/18 (.f64 x x) 2/3) (/.f64 1 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27))))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 1/324 (.f64 x x) -1/27) 4/9) (fma.f64 1/18 (.f64 x x) 2/3)) (fma.f64 (.f64 x x) (fma.f64 1/324 (.f64 x x) -1/27) 4/9))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (.f64 x x) 2/3))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (.f64 x x) 2/3))) 2) 2) (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3))))
(fma.f64 1/18 (*.f64 x x) 2/3)
(.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (/.f64 1 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (fma.f64 (.f64 x x) (fma.f64 1/324 (*.f64 x x) -1/27) 4/9))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27)) (/.f64 1 (neg.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (fma.f64 (.f64 x x) (fma.f64 1/324 (*.f64 x x) -1/27) 4/9))
(.f64 (/.f64 1 1) (fma.f64 1/18 (.f64 x x) 2/3))
(fma.f64 1/18 (*.f64 x x) 2/3)
(.f64 (/.f64 1 (cbrt.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))))) (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (pow.f64 (cbrt.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27)))) 2)))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (fma.f64 (.f64 x x) (fma.f64 1/324 (*.f64 x x) -1/27) 4/9))
(.f64 (/.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))) 1) (/.f64 (fma.f64 1/18 (.f64 x x) 2/3) (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27)))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 1/324 (.f64 x x) -1/27) 4/9) (fma.f64 1/18 (.f64 x x) 2/3)) (fma.f64 (.f64 x x) (fma.f64 1/324 (.f64 x x) -1/27) 4/9))
(.f64 (/.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))) (cbrt.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))))) (/.f64 (fma.f64 1/18 (.f64 x x) 2/3) (pow.f64 (cbrt.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27)))) 2)))
(/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 1/324 (.f64 x x) -1/27) 4/9) (fma.f64 1/18 (.f64 x x) 2/3)) (fma.f64 (.f64 x x) (fma.f64 1/324 (.f64 x x) -1/27) 4/9))
(.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27)) 1) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27)) 2) (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (fma.f64 (.f64 x x) (fma.f64 1/324 (*.f64 x x) -1/27) 4/9))
(.f64 (cbrt.f64 (fma.f64 1/18 (.f64 x x) 2/3)) (cbrt.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 2)))
(fma.f64 1/18 (*.f64 x x) 2/3)
(.f64 (+.f64 (cbrt.f64 4/9) (-.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)) (cbrt.f64 (.f64 (.f64 x x) 1/27)))) (+.f64 (cbrt.f64 2/3) (cbrt.f64 (.f64 1/18 (*.f64 x x)))))
(.f64 (fma.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324) (-.f64 (cbrt.f64 4/9) (cbrt.f64 (.f64 (.f64 x x) 1/27)))) (fma.f64 (cbrt.f64 1/18) (cbrt.f64 (*.f64 x x)) (cbrt.f64 2/3)))
(.f64 (+.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324)) (-.f64 (cbrt.f64 4/9) (cbrt.f64 (.f64 (.f64 x x) 1/27)))) (+.f64 (cbrt.f64 (.f64 1/18 (*.f64 x x))) (cbrt.f64 2/3)))
(.f64 (fma.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/324) (-.f64 (cbrt.f64 4/9) (cbrt.f64 (.f64 (.f64 x x) 1/27)))) (fma.f64 (cbrt.f64 1/18) (cbrt.f64 (*.f64 x x)) (cbrt.f64 2/3)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 1/18 (.f64 x x) 2/3) 2)) (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)))
(fma.f64 1/18 (*.f64 x x) 2/3)
(.f64 (/.f64 1 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27)))) (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (fma.f64 (.f64 x x) (fma.f64 1/324 (*.f64 x x) -1/27) 4/9))
(.f64 (.f64 (cbrt.f64 (fma.f64 1/18 (.f64 x x) 2/3)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (.f64 x x) 2/3))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) 2) 2))
(fma.f64 1/18 (*.f64 x x) 2/3)
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (fma.f64 (.f64 x x) (fma.f64 1/324 (*.f64 x x) -1/27) 4/9))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/18 (.f64 x x)) 3) 3) 512/19683) (/.f64 1 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))))) (-.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/18 (.f64 x x)) 3) 2) 64/729) (pow.f64 (.f64 (*.f64 x x) 1/27) 3)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 x x) 1/18) 3) 3) 512/19683) (.f64 (fma.f64 (.f64 x x) (fma.f64 1/324 (.f64 x x) -1/27) 4/9) (-.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 x x) 1/18) 3) 2) 64/729) (pow.f64 (.f64 (*.f64 x x) 1/27) 3))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (cbrt.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))))) (pow.f64 (cbrt.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27)))) 2))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (fma.f64 (.f64 x x) (fma.f64 1/324 (*.f64 x x) -1/27) 4/9))
(/.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) 1) (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (fma.f64 (.f64 x x) (fma.f64 1/324 (*.f64 x x) -1/27) 4/9))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/18 (.f64 x x)) 3) 3) 512/19683) (.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27))) (-.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/18 (.f64 x x)) 3) 2) 64/729) (pow.f64 (.f64 (*.f64 x x) 1/27) 3))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 x x) 1/18) 3) 3) 512/19683) (.f64 (fma.f64 (.f64 x x) (fma.f64 1/324 (.f64 x x) -1/27) 4/9) (-.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 x x) 1/18) 3) 2) 64/729) (pow.f64 (.f64 (*.f64 x x) 1/27) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/18 (.f64 x x)) 3) 3) 512/19683) 1) (.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/18 (.f64 x x)) 3) 2) 64/729) (pow.f64 (.f64 (.f64 x x) 1/27) 3)) (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 x x) 1/18) 3) 3) 512/19683) (.f64 (fma.f64 (.f64 x x) (fma.f64 1/324 (.f64 x x) -1/27) 4/9) (-.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 x x) 1/18) 3) 2) 64/729) (pow.f64 (.f64 (*.f64 x x) 1/27) 3))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27)) (neg.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (fma.f64 (.f64 x x) (fma.f64 1/324 (*.f64 x x) -1/27) 4/9))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27))) (neg.f64 (neg.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27))))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (fma.f64 (.f64 x x) (fma.f64 1/324 (*.f64 x x) -1/27) 4/9))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/18 (.f64 x x) 2/3) 2)) (cbrt.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27))) (cbrt.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27)))))
(cbrt.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (pow.f64 (fma.f64 1/18 (.f64 x x) 2/3) 2)) (fma.f64 (.f64 x x) (fma.f64 1/324 (*.f64 x x) -1/27) 4/9)))
(/.f64 (.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27)) (cbrt.f64 (pow.f64 (fma.f64 1/18 (.f64 x x) 2/3) 2))) (cbrt.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27)))))
(cbrt.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (pow.f64 (fma.f64 1/18 (.f64 x x) 2/3) 2)) (fma.f64 (.f64 x x) (fma.f64 1/324 (*.f64 x x) -1/27) 4/9)))
(/.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27)) 1) (neg.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (.f64 x x)) 1/27)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (fma.f64 (.f64 x x) (fma.f64 1/324 (*.f64 x x) -1/27) 4/9))
(pow.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) 3)
(fma.f64 1/18 (*.f64 x x) 2/3)
(pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 1)
(fma.f64 1/18 (*.f64 x x) 2/3)
(pow.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 3) 1/3)
(fma.f64 1/18 (*.f64 x x) 2/3)
(neg.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (neg.f64 (+.f64 4/9 (.f64 (.f64 x x) (-.f64 (.f64 1/324 (*.f64 x x)) 1/27))))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/5832 8/27) (fma.f64 (.f64 x x) (fma.f64 1/324 (*.f64 x x) -1/27) 4/9))
(cbrt.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 3))
(fma.f64 1/18 (*.f64 x x) 2/3)

localize25.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (sin.f64 x))
✓	0.2b	(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
	2.1b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series25.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

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

Compiler

Compiled 1130 to 800 computations (29.2% saved)

rewrite203.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

261×	`egg-rr`
85×	`egg-rr`

Counts

2 → 346

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 2)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3))) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 64/27 (sin.f64 x))) (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3/4)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 4/3 (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (/.f64 64/27 (sin.f64 x)))) 1) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (sin.f64 x) 3/4)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (/.f64 64/27 (sin.f64 x)))) 1) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 3/4)) (*.f64 (sin.f64 x) (sqrt.f64 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 3/4)) (/.f64 (sin.f64 x) (cbrt.f64 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (*.f64 (*.f64 (sin.f64 x) 3/4) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (*.f64 (/.f64 (sin.f64 x) -4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 (*.f64 (sin.f64 x) 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 (sin.f64 x) -4/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (neg.f64 (*.f64 (*.f64 (sin.f64 x) 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (/.f64 4/3 (sin.f64 x))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (/.f64 x 2)) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 4/3 (+.f64 (cos.f64 x) -1)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (tan.f64 (/.f64 x 2)) -4/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 4/3 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3))))))

simplify975.0ms (3.5%)

Algorithm

1×

egglog

Counts

362 → 473

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 (cbrt.f64 16/9) (cbrt.f64 4/3) (*.f64 -4/3 (cos.f64 x)))
(fma.f64 (cbrt.f64 4/3) (cbrt.f64 16/9) (*.f64 -4/3 (cos.f64 x)))
(fma.f64 4/3 1 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 1 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 (sqrt.f64 4/3) (sqrt.f64 4/3) (*.f64 -4/3 (cos.f64 x)))
(if (!=.f64 4/3 0) (.f64 (-.f64 1 (cos.f64 x)) 4/3) (.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (cbrt.f64 16/9) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 4/3)) (/.f64 1 (cbrt.f64 16/9))) (.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) 0) (/.f64 (sqrt.f64 4/3) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)))) (*.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (/.f64 4/3 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4/3) 0) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4/3))) (*.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 1 0) (.f64 (-.f64 1 (cos.f64 x)) 4/3) (.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (sqrt.f64 4/3) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) (sqrt.f64 3/4)) (.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (.f64 (cbrt.f64 16/9) (-.f64 1 (cos.f64 x))) 0) (/.f64 (cbrt.f64 4/3) (/.f64 1 (.f64 (cbrt.f64 16/9) (-.f64 1 (cos.f64 x))))) (*.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3)) 0) (/.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) 2)) (/.f64 1 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3)))) (.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) 0) (/.f64 1 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) 4/3))) (*.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 0) (/.f64 4/3 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (+.f64 1 (.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1))) 0) (.f64 (/.f64 (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1)))) (*.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (-.f64 4/3 (.f64 -4/3 (cos.f64 x))) 0) (/.f64 (-.f64 16/9 (.f64 (.f64 -4/3 (cos.f64 x)) (.f64 -4/3 (cos.f64 x)))) (-.f64 4/3 (.f64 -4/3 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (+.f64 16/9 (-.f64 (.f64 (.f64 -4/3 (cos.f64 x)) (.f64 -4/3 (cos.f64 x))) (.f64 4/3 (.f64 -4/3 (cos.f64 x))))) 0) (.f64 (-.f64 1 (cos.f64 x)) 4/3) (*.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (.f64 -4/3 (cos.f64 x)) 0) (.f64 (-.f64 1 (cos.f64 x)) 4/3) (*.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) 2)) 0) (/.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3)) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) 2)))) (.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 0) (/.f64 (cbrt.f64 (.f64 64/27 (-.f64 1 (cos.f64 x)))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (.f64 (-.f64 1 (cos.f64 x)) 4/3))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 (*.f64 -4/3 (cos.f64 x)) 4/3)
(-.f64 0 (*.f64 4/3 (+.f64 (cos.f64 x) -1)))
(.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) 2)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)))
(.f64 (cbrt.f64 (.f64 64/27 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) (sqrt.f64 4/3))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 4/3)) (cbrt.f64 16/9))
(.f64 (sqrt.f64 4/3) (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)))
(.f64 (cbrt.f64 4/3) (.f64 (cbrt.f64 16/9) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(.f64 1 (.f64 (-.f64 1 (cos.f64 x)) 4/3))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) 1)
(.f64 (cbrt.f64 16/9) (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 4/3)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (.f64 64/27 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (cbrt.f64 16/9) (-.f64 1 (cos.f64 x))) (cbrt.f64 4/3))
(.f64 (.f64 (cbrt.f64 (*.f64 64/27 (-.f64 1 (cos.f64 x)))) 1) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (.f64 (cbrt.f64 (*.f64 64/27 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 -4/3 (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (cos.f64 x) -1) -4/3)
(.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 4/3))
(.f64 (cbrt.f64 (cbrt.f64 4/3)) (.f64 (cbrt.f64 (cbrt.f64 16/9)) (*.f64 (cbrt.f64 16/9) (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 4/3)) (.f64 (cbrt.f64 (sqrt.f64 4/3)) (*.f64 (cbrt.f64 16/9) (-.f64 1 (cos.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 4/3)) (.f64 (sqrt.f64 (sqrt.f64 4/3)) (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3))))
(.f64 (cbrt.f64 (sqrt.f64 4/3)) (.f64 (cbrt.f64 4/3) (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3))))
(*.f64 (neg.f64 -4/3) (-.f64 1 (cos.f64 x)))
(.f64 (neg.f64 -1) (.f64 (-.f64 1 (cos.f64 x)) 4/3))
(.f64 (neg.f64 (cbrt.f64 (.f64 4/3 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) 2)))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3)))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) 2)))
(.f64 (neg.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) 2))))
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 -4/3))
(.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) 2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (/.f64 4/3 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 2)))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 4/3 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) 1) (sqrt.f64 4/3))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 4/3)) 1) (cbrt.f64 16/9))
(.f64 (cbrt.f64 4/3) (/.f64 (.f64 (cbrt.f64 16/9) (-.f64 1 (cos.f64 x))) 1))
(.f64 (sqrt.f64 4/3) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) 1))
(.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4/3))
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(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 4/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) 2)) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) (sin.f64 x)))
(.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4/3) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 64/27 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (sqrt.f64 4/3) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) (sin.f64 x)))
(.f64 (/.f64 (sqrt.f64 4/3) (cbrt.f64 (sin.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (/.f64 64/27 (sin.f64 x)))))
(.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) 2)) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 4/3 (+.f64 (cos.f64 x) -1))) (neg.f64 (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 4/3 (+.f64 (cos.f64 x) -1))) 1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) 2)) (neg.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 4/3 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) 2)) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 3/4)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 16/9))))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 3/4)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (sin.f64 x) (sqrt.f64 3/4))))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4/3))
(.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (/.f64 x 2))) 2)) (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(.f64 (.f64 4/3 (+.f64 (cos.f64 x) -1)) (/.f64 -1 (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) 2)) (sin.f64 x)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)))
(.f64 (/.f64 -1 (sin.f64 x)) (.f64 4/3 (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4/3))
(.f64 (cbrt.f64 (.f64 4/3 (+.f64 (cos.f64 x) -1))) (.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) 2)) (/.f64 -1 (sin.f64 x))))
(.f64 (.f64 4/3 (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 -1 (sin.f64 x)) 1))
(.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (sin.f64 x) 3/4)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (/.f64 x 2))) 2)) (cbrt.f64 (*.f64 4/3 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (/.f64 x 2))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4)))
(/.f64 (.f64 (cbrt.f64 (.f64 4/3 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 2))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (/.f64 x 2))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4)))
(/.f64 (/.f64 (*.f64 4/3 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (sin.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 (*.f64 4/3 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (neg.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (/.f64 64/27 (sin.f64 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (/.f64 (sin.f64 x) (sqrt.f64 64/27)))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 3/4)))
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 16/9)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3/4))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (.f64 (.f64 (*.f64 (sin.f64 x) 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (+.f64 1 (+.f64 (pow.f64 (pow.f64 (cos.f64 x) 3) 2) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (-.f64 (.f64 (sin.f64 x) 3/4) (.f64 (.f64 (sin.f64 x) 3/4) (cos.f64 x))) (.f64 (.f64 (sin.f64 x) 3/4) (.f64 (sin.f64 x) 3/4)))
(/.f64 (.f64 4/3 (+.f64 (cos.f64 x) -1)) (.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) 2))) (.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/4)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (.f64 (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (.f64 (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1) (*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (sin.f64 x)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 -1 (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) 1) (.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (*.f64 (sin.f64 x) 3/4)))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (/.f64 64/27 (sin.f64 x))))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
(/.f64 (*.f64 4/3 (+.f64 (cos.f64 x) -1)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (sin.f64 x))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 (sin.f64 x) 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) -4/3))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (/.f64 64/27 (sin.f64 x)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 1)
(/.f64 (.f64 (/.f64 1 (sin.f64 x)) (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) 4/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) 2))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (/.f64 x 2))) 2)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3))) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 64/27 (sin.f64 x))) (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) 4/3)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3/4)) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 4/3 (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (/.f64 64/27 (sin.f64 x)))) 1) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (.f64 (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (sin.f64 x) 3/4)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (/.f64 64/27 (sin.f64 x)))) 1) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (.f64 (sin.f64 x) 3/4))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/4)) 2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 3/4)) (*.f64 (sin.f64 x) (sqrt.f64 3/4)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 3/4)) (/.f64 (sin.f64 x) (cbrt.f64 16/9)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (.f64 (.f64 (sin.f64 x) 3/4) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (*.f64 (/.f64 (sin.f64 x) -4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 (*.f64 (sin.f64 x) 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 1))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 (sin.f64 x) -4/3) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (neg.f64 (.f64 (.f64 (sin.f64 x) 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (/.f64 4/3 (sin.f64 x))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 3)
(pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 1)
(neg.f64 (*.f64 (tan.f64 (/.f64 x 2)) -4/3))
(neg.f64 (.f64 (.f64 4/3 (+.f64 (cos.f64 x) -1)) (/.f64 1 (sin.f64 x))))
(neg.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) -4/3) 1))
(neg.f64 (.f64 (/.f64 1 (sin.f64 x)) (.f64 4/3 (+.f64 (cos.f64 x) -1))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3))

Outputs
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (.f64 2/3 (.f64 x x)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (.f64 1/540 (pow.f64 x 6)))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 (cbrt.f64 16/9) (cbrt.f64 4/3) (*.f64 -4/3 (cos.f64 x)))
(fma.f64 (cbrt.f64 4/3) (cbrt.f64 16/9) (*.f64 -4/3 (cos.f64 x)))
(fma.f64 4/3 1 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 1 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 (sqrt.f64 4/3) (sqrt.f64 4/3) (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(if (!=.f64 4/3 0) (.f64 (-.f64 1 (cos.f64 x)) 4/3) (.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 4/3 0) (.f64 4/3 (-.f64 1 (cos.f64 x))) (.f64 4/3 (-.f64 1 (cos.f64 x))))
(if (!=.f64 (cbrt.f64 16/9) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 4/3)) (/.f64 1 (cbrt.f64 16/9))) (.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (cbrt.f64 16/9) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 4/3)) (/.f64 1 (cbrt.f64 16/9))) (.f64 4/3 (-.f64 1 (cos.f64 x))))
(if (!=.f64 (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) 0) (/.f64 (sqrt.f64 4/3) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)))) (*.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) 0) (/.f64 (sqrt.f64 4/3) (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)))) (*.f64 4/3 (-.f64 1 (cos.f64 x))))
(if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (/.f64 4/3 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (/.f64 4/3 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 4/3 (-.f64 1 (cos.f64 x))))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4/3) 0) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4/3))) (*.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4/3) 0) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4/3))) (*.f64 4/3 (-.f64 1 (cos.f64 x))))
(if (!=.f64 1 0) (.f64 (-.f64 1 (cos.f64 x)) 4/3) (.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 1 0) (.f64 4/3 (-.f64 1 (cos.f64 x))) (.f64 4/3 (-.f64 1 (cos.f64 x))))
(if (!=.f64 (sqrt.f64 4/3) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) (sqrt.f64 3/4)) (.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (sqrt.f64 4/3) 0) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) (sqrt.f64 3/4)) (.f64 4/3 (-.f64 1 (cos.f64 x))))
(if (!=.f64 (.f64 (cbrt.f64 16/9) (-.f64 1 (cos.f64 x))) 0) (/.f64 (cbrt.f64 4/3) (/.f64 1 (.f64 (cbrt.f64 16/9) (-.f64 1 (cos.f64 x))))) (*.f64 (-.f64 1 (cos.f64 x)) 4/3))
(if (!=.f64 (.f64 (cbrt.f64 16/9) (-.f64 1 (cos.f64 x))) 0) (/.f64 (cbrt.f64 4/3) (/.f64 1 (.f64 (cbrt.f64 16/9) (-.f64 1 (cos.f64 x))))) (*.f64 4/3 (-.f64 1 (cos.f64 x))))
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(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (.f64 (sin.f64 x) 3/4))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/4)) 2))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1) (.f64 (sin.f64 x) 3/4))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 3/4)) (*.f64 (sin.f64 x) (sqrt.f64 3/4)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 3/4)) (/.f64 (sin.f64 x) (cbrt.f64 16/9)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (cbrt.f64 16/9))) (cbrt.f64 3/4))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (.f64 (.f64 (sin.f64 x) 3/4) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (.f64 (neg.f64 (.f64 (sin.f64 x) 3/4)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (*.f64 (/.f64 (sin.f64 x) -4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (sin.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 (*.f64 (sin.f64 x) 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 (sin.f64 x) 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 (sin.f64 x) -4/3) 1))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (neg.f64 (.f64 (.f64 (sin.f64 x) 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (.f64 (neg.f64 (.f64 (sin.f64 x) 3/4)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (/.f64 4/3 (sin.f64 x))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3) 1/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(neg.f64 (*.f64 (tan.f64 (/.f64 x 2)) -4/3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(neg.f64 (.f64 (.f64 4/3 (+.f64 (cos.f64 x) -1)) (/.f64 1 (sin.f64 x))))
(neg.f64 (/.f64 (*.f64 4/3 (+.f64 (cos.f64 x) -1)) (sin.f64 x)))
(neg.f64 (.f64 (.f64 (tan.f64 (/.f64 x 2)) -4/3) 1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(neg.f64 (.f64 (/.f64 1 (sin.f64 x)) (.f64 4/3 (+.f64 (cos.f64 x) -1))))
(neg.f64 (/.f64 (*.f64 4/3 (+.f64 (cos.f64 x) -1)) (sin.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
✓	0.2b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
	2.1b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series19.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

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

Compiler

Compiled 1130 to 800 computations (29.2% saved)

rewrite217.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

232×	`egg-rr`
211×	`egg-rr`

Counts

2 → 443

Calls

Call 1

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

Outputs

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

simplify1.0s (3.8%)

Algorithm

1×

egglog

Counts

459 → 627

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(if (!=.f64 4/3 0) (.f64 4/3 (tan.f64 (/.f64 x 2))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (pow.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 4/3)) -1) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) 0) (pow.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 4/3)) -1) (*.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (/.f64 -1 (/.f64 (.f64 (sin.f64 x) -3/4) (-.f64 1 (cos.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (pow.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 4/3)) -1) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 0) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (.f64 (sin.f64 x) -3/4) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 -1 (/.f64 (.f64 (sin.f64 x) 3/4) (+.f64 (cos.f64 x) -1))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 1 0) (.f64 4/3 (tan.f64 (/.f64 x 2))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 0) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (.f64 (sin.f64 x) 3/4) (cbrt.f64 (-.f64 1 (cos.f64 x))))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 0) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (.f64 (sin.f64 x) 3/4) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (fma.f64 (cos.f64 x) 4/3 -4/3) 0) (pow.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 4/3)) -1) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 -4/3 0) (.f64 4/3 (tan.f64 (/.f64 x 2))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) 0) (/.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 4/3))) (*.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) 4/3 -4/3)) 2) 0) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) 4/3 -4/3)) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) 4/3 -4/3)) 2))) (*.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (/.f64 (.f64 (.f64 (sin.f64 x) 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (-.f64 1 (cos.f64 x)))) (*.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (.f64 (.f64 (sin.f64 x) 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 2))) (*.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 0) (/.f64 1 (/.f64 (.f64 (.f64 (sin.f64 x) 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 4/3 (tan.f64 (/.f64 x 2))))
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(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(.f64 (cbrt.f64 16/9) (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 4/3)))
(*.f64 (/.f64 -1 (cbrt.f64 3/4)) (/.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 9/16)))
(/.f64 (+.f64 (cos.f64 x) -1) -3/4)
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) (sqrt.f64 3/4))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 4/3)) (cbrt.f64 9/16))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 3/4))
(/.f64 (-.f64 64/27 (pow.f64 (.f64 (cos.f64 x) 4/3) 3)) (+.f64 16/9 (+.f64 (pow.f64 (.f64 (cos.f64 x) 4/3) 2) (/.f64 (cos.f64 x) 9/16))))
(/.f64 (*.f64 3/4 (-.f64 1 (cos.f64 x))) 9/16)
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) 1)
(/.f64 (.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 9/16))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 27/64))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (sqrt.f64 3/4))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) 4/3 -4/3)) 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 3/4))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) 4/3 -4/3)) 2) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (cbrt.f64 -3/4))
(/.f64 (*.f64 (sqrt.f64 4/3) (-.f64 1 (cos.f64 x))) (sqrt.f64 3/4))
(/.f64 (*.f64 (cbrt.f64 4/3) (-.f64 1 (cos.f64 x))) (cbrt.f64 9/16))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) -4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (.f64 (.f64 3/4 (-.f64 1 (cos.f64 x))) 1) 9/16)
(/.f64 (.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 4/3) 1) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) 1) (sqrt.f64 3/4))
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 4/3)) 1) (cbrt.f64 9/16))
(/.f64 (.f64 (-.f64 64/27 (pow.f64 (.f64 (cos.f64 x) 4/3) 3)) 1) (+.f64 16/9 (+.f64 (pow.f64 (*.f64 (cos.f64 x) 4/3) 2) (/.f64 (cos.f64 x) 9/16))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) 4/3 -4/3)) 2)) (cbrt.f64 -3/4))
(/.f64 (fma.f64 (cos.f64 x) 4/3 -4/3) -1)
(/.f64 (/.f64 (*.f64 3/4 (-.f64 1 (cos.f64 x))) 3/4) 3/4)
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 4/3) 1) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 4/3) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 2))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) (sqrt.f64 (sqrt.f64 3/4))) (sqrt.f64 (sqrt.f64 3/4)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) (cbrt.f64 (sqrt.f64 3/4))) (cbrt.f64 3/4))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) 1) (sqrt.f64 3/4))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 3/4)) (neg.f64 (cbrt.f64 9/16)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 3/4)) (neg.f64 (sqrt.f64 3/4)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 -3/4)) (cbrt.f64 9/16))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 4/3)) 1) (cbrt.f64 9/16))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 4/3))
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 -4/3))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (*.f64 -3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (*.f64 3/4 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (.f64 (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 3/4) (+.f64 1 (+.f64 (pow.f64 (pow.f64 (cos.f64 x) 3) 2) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (+.f64 64/27 (pow.f64 (.f64 (cos.f64 x) -4/3) 3)) (+.f64 16/9 (-.f64 (.f64 (.f64 (cos.f64 x) -4/3) (.f64 (cos.f64 x) -4/3)) (.f64 4/3 (.f64 (cos.f64 x) -4/3)))))
(/.f64 (-.f64 -3/4 (.f64 -3/4 (cos.f64 x))) (.f64 -3/4 3/4))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 3/4)) (.f64 -3/4 (.f64 (cos.f64 x) (sqrt.f64 4/3)))) (*.f64 -3/4 (sqrt.f64 3/4)))
(/.f64 (-.f64 3/4 (*.f64 -3/4 (neg.f64 (cos.f64 x)))) 9/16)
(/.f64 (-.f64 (neg.f64 (cbrt.f64 9/16)) (.f64 -3/4 (.f64 (cos.f64 x) (cbrt.f64 4/3)))) (*.f64 -3/4 (cbrt.f64 9/16)))
(/.f64 (-.f64 (sqrt.f64 3/4) (.f64 3/4 (.f64 (cos.f64 x) (sqrt.f64 4/3)))) (sqrt.f64 27/64))
(/.f64 (-.f64 -3/4 (.f64 3/4 (neg.f64 (cos.f64 x)))) (.f64 3/4 -3/4))
(/.f64 (-.f64 (cbrt.f64 9/16) (.f64 3/4 (.f64 (cos.f64 x) (cbrt.f64 4/3)))) (*.f64 3/4 (cbrt.f64 9/16)))
(/.f64 (-.f64 (.f64 (sqrt.f64 4/3) 3/4) (.f64 (sqrt.f64 3/4) (cos.f64 x))) (sqrt.f64 27/64))
(/.f64 (-.f64 (.f64 (sqrt.f64 4/3) (sqrt.f64 3/4)) (.f64 (sqrt.f64 3/4) (*.f64 (cos.f64 x) (sqrt.f64 4/3)))) 3/4)
(/.f64 (-.f64 (.f64 (sqrt.f64 4/3) -3/4) (.f64 (sqrt.f64 3/4) (neg.f64 (cos.f64 x)))) (*.f64 (sqrt.f64 3/4) -3/4))
(/.f64 (-.f64 (.f64 (sqrt.f64 4/3) (cbrt.f64 9/16)) (.f64 (sqrt.f64 3/4) (.f64 (cos.f64 x) (cbrt.f64 4/3)))) (.f64 (sqrt.f64 3/4) (cbrt.f64 9/16)))
(/.f64 (-.f64 (.f64 (cbrt.f64 4/3) 3/4) (.f64 (cbrt.f64 9/16) (cos.f64 x))) (*.f64 (cbrt.f64 9/16) 3/4))
(/.f64 (-.f64 (.f64 (cbrt.f64 4/3) (sqrt.f64 3/4)) (.f64 (cbrt.f64 9/16) (.f64 (cos.f64 x) (sqrt.f64 4/3)))) (.f64 (cbrt.f64 9/16) (sqrt.f64 3/4)))
(/.f64 (-.f64 (.f64 (cbrt.f64 4/3) -3/4) (.f64 (cbrt.f64 9/16) (neg.f64 (cos.f64 x)))) (*.f64 (cbrt.f64 9/16) -3/4))
(/.f64 (-.f64 (.f64 (cbrt.f64 4/3) (cbrt.f64 9/16)) (.f64 (cbrt.f64 9/16) (.f64 (cos.f64 x) (cbrt.f64 4/3)))) (.f64 (cbrt.f64 9/16) (cbrt.f64 9/16)))
(/.f64 (.f64 (cbrt.f64 4/3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (cbrt.f64 9/16) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (sqrt.f64 4/3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (sqrt.f64 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (cbrt.f64 4/3) (+.f64 (pow.f64 (cos.f64 x) 3) -1)) (.f64 (cbrt.f64 9/16) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 -3/4 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (.f64 (sqrt.f64 4/3) (+.f64 (pow.f64 (cos.f64 x) 3) -1)) (.f64 (sqrt.f64 3/4) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (cbrt.f64 4/3)) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (cbrt.f64 9/16)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (cbrt.f64 4/3)) (.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (cbrt.f64 9/16)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -1) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) -3/4))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) -1) (.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) -3/4))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) 1) (.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 3/4))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 4/3)) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (sqrt.f64 3/4)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (sqrt.f64 4/3)) (.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (sqrt.f64 3/4)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (neg.f64 (*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 3/4)))
(/.f64 (neg.f64 (*.f64 3/4 (-.f64 1 (cos.f64 x)))) (neg.f64 9/16))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3))) (neg.f64 (sqrt.f64 3/4)))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 4/3))) (neg.f64 (cbrt.f64 9/16)))
(/.f64 (neg.f64 (-.f64 64/27 (pow.f64 (.f64 (cos.f64 x) 4/3) 3))) (neg.f64 (+.f64 16/9 (+.f64 (pow.f64 (.f64 (cos.f64 x) 4/3) 2) (/.f64 (cos.f64 x) 9/16)))))
(/.f64 (*.f64 4/3 (+.f64 (pow.f64 (cos.f64 x) 3) -1)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 16/9)) (cbrt.f64 3/4))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) 4/3) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4/3)) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 4/3)) (cbrt.f64 (cbrt.f64 9/16))) (pow.f64 (cbrt.f64 (cbrt.f64 9/16)) 2))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 4/3)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) 3) 1/3)
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) 1)
(neg.f64 (fma.f64 (cos.f64 x) 4/3 -4/3))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) 3))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (.f64 2/3 (.f64 x x)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (.f64 1/540 (pow.f64 x 6)))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(if (!=.f64 4/3 0) (.f64 4/3 (tan.f64 (/.f64 x 2))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (pow.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 4/3)) -1) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (/.f64 1 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4/3)) (*.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) 0) (pow.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 4/3)) -1) (*.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (.f64 4/3 (-.f64 1 (cos.f64 x))) 0) (/.f64 1 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4/3)) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (/.f64 -1 (/.f64 (.f64 (sin.f64 x) -3/4) (-.f64 1 (cos.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (-.f64 1 (cos.f64 x)) 0) (/.f64 -1 (/.f64 (.f64 -3/4 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (pow.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 4/3)) -1) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 1 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4/3)) (*.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 0) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (.f64 (sin.f64 x) -3/4) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 0) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (.f64 -3/4 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (+.f64 (cos.f64 x) -1) 0) (/.f64 -1 (/.f64 (.f64 (sin.f64 x) 3/4) (+.f64 (cos.f64 x) -1))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 1 0) (.f64 4/3 (tan.f64 (/.f64 x 2))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 0) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (.f64 (sin.f64 x) 3/4) (cbrt.f64 (-.f64 1 (cos.f64 x))))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 0) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (.f64 (sin.f64 x) 3/4) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 0) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (/.f64 1 (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 3/4)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (fma.f64 (cos.f64 x) 4/3 -4/3) 0) (pow.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 4/3)) -1) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (fma.f64 (cos.f64 x) 4/3 -4/3) 0) (/.f64 1 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4/3)) (*.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 -4/3 0) (.f64 4/3 (tan.f64 (/.f64 x 2))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (.f64 (-.f64 1 (cos.f64 x)) 4/3) 0) (/.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 4/3))) (*.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (.f64 4/3 (-.f64 1 (cos.f64 x))) 0) (/.f64 -1 (neg.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4/3))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(if (!=.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) 4/3 -4/3)) 2) 0) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) 4/3 -4/3)) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) 4/3 -4/3)) 2))) (*.f64 4/3 (tan.f64 (/.f64 x 2))))
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(/.f64 (-.f64 (.f64 (sqrt.f64 4/3) (sqrt.f64 3/4)) (.f64 (sqrt.f64 3/4) (*.f64 (cos.f64 x) (sqrt.f64 4/3)))) 3/4)
(/.f64 (-.f64 (sqrt.f64 (.f64 4/3 3/4)) (.f64 (*.f64 (cos.f64 x) (sqrt.f64 4/3)) (sqrt.f64 3/4))) 3/4)
(/.f64 (-.f64 (.f64 (sqrt.f64 4/3) -3/4) (.f64 (sqrt.f64 3/4) (neg.f64 (cos.f64 x)))) (*.f64 (sqrt.f64 3/4) -3/4))
(/.f64 (fma.f64 (sqrt.f64 4/3) -3/4 (neg.f64 (neg.f64 (.f64 (sqrt.f64 3/4) (cos.f64 x))))) (.f64 -3/4 (sqrt.f64 3/4)))
(/.f64 (-.f64 (.f64 (sqrt.f64 4/3) (cbrt.f64 9/16)) (.f64 (sqrt.f64 3/4) (.f64 (cos.f64 x) (cbrt.f64 4/3)))) (.f64 (sqrt.f64 3/4) (cbrt.f64 9/16)))
(/.f64 (fma.f64 (sqrt.f64 4/3) (cbrt.f64 9/16) (neg.f64 (.f64 (sqrt.f64 3/4) (.f64 (cos.f64 x) (cbrt.f64 4/3))))) (*.f64 (sqrt.f64 3/4) (cbrt.f64 9/16)))
(/.f64 (-.f64 (.f64 (cbrt.f64 4/3) 3/4) (.f64 (cbrt.f64 9/16) (cos.f64 x))) (*.f64 (cbrt.f64 9/16) 3/4))
(/.f64 (fma.f64 (cbrt.f64 4/3) 3/4 (neg.f64 (.f64 (cbrt.f64 9/16) (cos.f64 x)))) (.f64 3/4 (cbrt.f64 9/16)))
(/.f64 (-.f64 (.f64 (cbrt.f64 4/3) (sqrt.f64 3/4)) (.f64 (cbrt.f64 9/16) (.f64 (cos.f64 x) (sqrt.f64 4/3)))) (.f64 (cbrt.f64 9/16) (sqrt.f64 3/4)))
(/.f64 (fma.f64 (cbrt.f64 4/3) (sqrt.f64 3/4) (neg.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 4/3)) (cbrt.f64 9/16)))) (*.f64 (sqrt.f64 3/4) (cbrt.f64 9/16)))
(/.f64 (-.f64 (.f64 (cbrt.f64 4/3) -3/4) (.f64 (cbrt.f64 9/16) (neg.f64 (cos.f64 x)))) (*.f64 (cbrt.f64 9/16) -3/4))
(/.f64 (-.f64 (.f64 (cbrt.f64 4/3) -3/4) (neg.f64 (.f64 (cbrt.f64 9/16) (cos.f64 x)))) (*.f64 -3/4 (cbrt.f64 9/16)))
(/.f64 (-.f64 (.f64 (cbrt.f64 4/3) (cbrt.f64 9/16)) (.f64 (cbrt.f64 9/16) (.f64 (cos.f64 x) (cbrt.f64 4/3)))) (.f64 (cbrt.f64 9/16) (cbrt.f64 9/16)))
(/.f64 (-.f64 (cbrt.f64 (.f64 4/3 9/16)) (.f64 (cbrt.f64 9/16) (.f64 (cos.f64 x) (cbrt.f64 4/3)))) (cbrt.f64 (.f64 9/16 9/16)))
(/.f64 (.f64 (cbrt.f64 4/3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (cbrt.f64 9/16) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (cbrt.f64 4/3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (cbrt.f64 9/16)))
(/.f64 (.f64 (sqrt.f64 4/3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (sqrt.f64 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (cbrt.f64 4/3) (+.f64 (pow.f64 (cos.f64 x) 3) -1)) (.f64 (cbrt.f64 9/16) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (.f64 (cbrt.f64 4/3) (+.f64 (pow.f64 (cos.f64 x) 3) -1)) (neg.f64 (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (cbrt.f64 9/16))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 -3/4 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (neg.f64 (*.f64 -3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (.f64 (sqrt.f64 4/3) (+.f64 (pow.f64 (cos.f64 x) 3) -1)) (.f64 (sqrt.f64 3/4) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (.f64 (sqrt.f64 4/3) (+.f64 (pow.f64 (cos.f64 x) 3) -1)) (neg.f64 (.f64 (sqrt.f64 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (cbrt.f64 4/3)) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (cbrt.f64 9/16)))
(/.f64 (.f64 (cbrt.f64 4/3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (cbrt.f64 9/16)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (cbrt.f64 4/3)) (.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (cbrt.f64 9/16)))
(/.f64 (.f64 (cbrt.f64 4/3) (+.f64 (pow.f64 (cos.f64 x) 3) -1)) (neg.f64 (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (cbrt.f64 9/16))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -1) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) -3/4))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -1) (.f64 -3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) -1) (.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) -3/4))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (neg.f64 (neg.f64 (*.f64 -3/4 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) 1) (.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 3/4))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (neg.f64 3/4)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 4/3)) (.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (sqrt.f64 3/4)))
(/.f64 (.f64 (sqrt.f64 4/3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (sqrt.f64 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (sqrt.f64 4/3)) (.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (sqrt.f64 3/4)))
(/.f64 (.f64 (sqrt.f64 4/3) (+.f64 (pow.f64 (cos.f64 x) 3) -1)) (neg.f64 (.f64 (sqrt.f64 3/4) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (neg.f64 (*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) 3/4)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (neg.f64 3/4)))
(/.f64 (neg.f64 (*.f64 3/4 (-.f64 1 (cos.f64 x)))) (neg.f64 9/16))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3))) (neg.f64 (sqrt.f64 3/4)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 4/3)) (sqrt.f64 3/4))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 4/3))) (neg.f64 (cbrt.f64 9/16)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 4/3)) (cbrt.f64 9/16))
(/.f64 (neg.f64 (-.f64 64/27 (pow.f64 (.f64 (cos.f64 x) 4/3) 3))) (neg.f64 (+.f64 16/9 (+.f64 (pow.f64 (.f64 (cos.f64 x) 4/3) 2) (/.f64 (cos.f64 x) 9/16)))))
(/.f64 (-.f64 64/27 (pow.f64 (.f64 (cos.f64 x) 4/3) 3)) (+.f64 16/9 (+.f64 (pow.f64 (.f64 (cos.f64 x) 4/3) 2) (/.f64 (cos.f64 x) 9/16))))
(/.f64 (*.f64 4/3 (+.f64 (pow.f64 (cos.f64 x) 3) -1)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 16/9)) (cbrt.f64 3/4))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) 4/3) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 4/3 (+.f64 (pow.f64 (cos.f64 x) 3) -1)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 4/3)) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 4/3)) (cbrt.f64 (cbrt.f64 9/16))) (pow.f64 (cbrt.f64 (cbrt.f64 9/16)) 2))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 4/3)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 4/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3)) 3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) 3) 1/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) 1)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(neg.f64 (fma.f64 (cos.f64 x) 4/3 -4/3))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) 3))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 (*.f64 x 1/2))
✓	0.2b	(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
✓	0.3b	(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))

Compiler

Compiled 32 to 25 computations (21.9% saved)

series15.0ms (0.1%)

Counts

2 → 13

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
0.0ms	x	@	-inf	(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
0.0ms	x	@	0	(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
0.0ms	x	@	0	(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
0.0ms	x	@	inf	(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))

Compiler

Compiled 1130 to 930 computations (17.7% saved)

rewrite408.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

247×	`egg-rr`
245×	`egg-rr`

Counts

2 → 492

Calls

Call 1

Inputs
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sin.f64 (*.f64 x 1/2)) 0) (/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (cbrt.f64 16/9) (sin.f64 (*.f64 x 1/2))) 0) (/.f64 (cbrt.f64 4/3) (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 16/9) (sin.f64 (*.f64 x 1/2))))) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (*.f64 16/9 (*.f64 1/2 (-.f64 1 (cos.f64 x))))) 0) (/.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 16/9 (*.f64 1/2 (-.f64 1 (cos.f64 x))))))) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 0) (pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) -1) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sqrt.f64 4/3) (sin.f64 (*.f64 x 1/2))) 0) (/.f64 (sqrt.f64 4/3) (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 4/3) (sin.f64 (*.f64 x 1/2))))) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -4/3 0) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (*.f64 1/2 (-.f64 1 (cos.f64 x)))) 0) (/.f64 (cbrt.f64 (*.f64 64/27 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 1/2 (-.f64 1 (cos.f64 x)))))) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0) (/.f64 1 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) -1)) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 4/3 0) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1/2) (*.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 0) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (*.f64 1/2 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (tan.f64 (*.f64 x 1/2))) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (cos.f64 (*.f64 x 1/2))) (*.f64 -4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (/.f64 64/27 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x)))))) (pow.f64 (pow.f64 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simplify1.3s (4.9%)

Algorithm

1×

egglog

Counts

505 → 795

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
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(/.f64 2 (/.f64 (.f64 (cos.f64 (.f64 x 1/2)) 3/4) 1/2))
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(/.f64 (/.f64 4/3 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))))) (.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) 2)))
(/.f64 (cbrt.f64 -4/3) (.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 16/9)) -1))
(/.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3/4)
(/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 1/2)) 64/27)))
(/.f64 (-.f64 (.f64 0 (/.f64 (cos.f64 (.f64 x 1/2)) -4/3)) (neg.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (/.f64 (cos.f64 (.f64 x 1/2)) -4/3)))
(/.f64 (-.f64 (.f64 0 (neg.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) 4/3)) (*.f64 1/2 (+.f64 1 (cos.f64 x))))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (/.f64 -64/27 (cos.f64 (.f64 x 1/2)))))) (.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))) (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (neg.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (/.f64 64/27 (cos.f64 (.f64 x 1/2)))))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (neg.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))))))
(/.f64 (-.f64 0 (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) -4/3)) (neg.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))))) 1) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x))) 64/27))))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))))) 4/3) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))))) (cbrt.f64 (/.f64 64/27 (cos.f64 (.f64 x 1/2))))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (.f64 1 (/.f64 4/3 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))))) (.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x))))) 2)))
(/.f64 (.f64 -1 (/.f64 4/3 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))))) (.f64 (cbrt.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x))))) 2)))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))))) -4/3) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (neg.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x)))))))
(/.f64 (.f64 (sqrt.f64 4/3) (/.f64 (sqrt.f64 4/3) (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))))) (.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x))))) 2)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 4/3)) (/.f64 (sqrt.f64 4/3) (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))))) (.f64 (cbrt.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x))))) 2)))
(/.f64 (.f64 (/.f64 (sqrt.f64 4/3) (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))))) (neg.f64 (sqrt.f64 4/3))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (neg.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x)))))))
(/.f64 (.f64 (/.f64 (sqrt.f64 4/3) (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))))) (cbrt.f64 (/.f64 (sqrt.f64 64/27) (cos.f64 (.f64 x 1/2))))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (/.f64 (sqrt.f64 4/3) (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))))) (sqrt.f64 4/3)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x))))))
(/.f64 (cbrt.f64 -16/9) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 -4/3)))
(/.f64 (cbrt.f64 (.f64 (/.f64 16/9 (.f64 1/2 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 64/27 (cos.f64 (.f64 x 1/2)))))) (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))))
(pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 1)
(pow.f64 (.f64 (cos.f64 (.f64 x 1/2)) 3/4) -1)
(pow.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3)
(neg.f64 (/.f64 (sqrt.f64 4/3) (neg.f64 (.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 3/4)))))
(neg.f64 (/.f64 (cbrt.f64 4/3) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 -16/9))))
(neg.f64 (-.f64 (/.f64 -4/3 (cos.f64 (*.f64 x 1/2))) 0))
(neg.f64 (/.f64 -4/3 (cos.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (.f64 (/.f64 64/27 (cos.f64 (.f64 x 1/2))) (pow.f64 (/.f64 -1 (cos.f64 (*.f64 x 1/2))) 2)))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
4/3
(if (!=.f64 (sin.f64 (.f64 x 1/2)) 0) (/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (sin.f64 (.f64 1/2 x)) 0) (/.f64 4/3 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))) (.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(if (!=.f64 (.f64 (cbrt.f64 16/9) (sin.f64 (.f64 x 1/2))) 0) (/.f64 (cbrt.f64 4/3) (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 16/9) (sin.f64 (.f64 x 1/2))))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (.f64 (cbrt.f64 16/9) (sin.f64 (.f64 1/2 x))) 0) (/.f64 (cbrt.f64 4/3) (/.f64 (cos.f64 (.f64 1/2 x)) (.f64 (cbrt.f64 16/9) (sin.f64 (.f64 1/2 x))))) (.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(if (!=.f64 (cbrt.f64 (.f64 16/9 (.f64 1/2 (-.f64 1 (cos.f64 x))))) 0) (/.f64 (cbrt.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2)))) (/.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 16/9 (.f64 1/2 (-.f64 1 (cos.f64 x))))))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (cbrt.f64 (.f64 16/9 (.f64 1/2 (-.f64 1 (cos.f64 x))))) 0) (/.f64 (cbrt.f64 (.f64 4/3 (sin.f64 (.f64 1/2 x)))) (/.f64 (cos.f64 (.f64 1/2 x)) (cbrt.f64 (.f64 16/9 (.f64 1/2 (-.f64 1 (cos.f64 x))))))) (.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(if (!=.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) 0) (pow.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 4/3 (sin.f64 (.f64 x 1/2)))) -1) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (.f64 4/3 (sin.f64 (.f64 1/2 x))) 0) (/.f64 1 (/.f64 (cos.f64 (.f64 1/2 x)) (.f64 4/3 (sin.f64 (.f64 1/2 x))))) (.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(if (!=.f64 (.f64 (sqrt.f64 4/3) (sin.f64 (.f64 x 1/2))) 0) (/.f64 (sqrt.f64 4/3) (/.f64 (cos.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 4/3) (sin.f64 (.f64 x 1/2))))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (.f64 (sqrt.f64 4/3) (sin.f64 (.f64 1/2 x))) 0) (/.f64 (sqrt.f64 4/3) (/.f64 (cos.f64 (.f64 1/2 x)) (.f64 (sqrt.f64 4/3) (sin.f64 (.f64 1/2 x))))) (.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(if (!=.f64 -4/3 0) (.f64 4/3 (tan.f64 (.f64 x 1/2))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 -4/3 0) (.f64 4/3 (tan.f64 (.f64 1/2 x))) (.f64 4/3 (tan.f64 (.f64 1/2 x))))
(if (!=.f64 (cbrt.f64 (.f64 1/2 (-.f64 1 (cos.f64 x)))) 0) (/.f64 (cbrt.f64 (.f64 64/27 (sin.f64 (.f64 x 1/2)))) (/.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 1/2 (-.f64 1 (cos.f64 x)))))) (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(if (!=.f64 (cbrt.f64 (.f64 1/2 (-.f64 1 (cos.f64 x)))) 0) (/.f64 (cbrt.f64 (.f64 64/27 (sin.f64 (.f64 1/2 x)))) (/.f64 (cos.f64 (.f64 1/2 x)) (cbrt.f64 (.f64 1/2 (-.f64 1 (cos.f64 x)))))) (.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(if (!=.f64 1 0) (.f64 4/3 (tan.f64 (.f64 x 1/2))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 1 0) (.f64 4/3 (tan.f64 (.f64 1/2 x))) (.f64 4/3 (tan.f64 (.f64 1/2 x))))
(if (!=.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 0) (/.f64 1 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) -1)) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x))) 0) (pow.f64 (/.f64 1 (.f64 4/3 (tan.f64 (.f64 1/2 x)))) -1) (.f64 4/3 (tan.f64 (.f64 1/2 x))))
(if (!=.f64 4/3 0) (.f64 4/3 (tan.f64 (.f64 x 1/2))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(if (!=.f64 4/3 0) (.f64 4/3 (tan.f64 (.f64 1/2 x))) (.f64 4/3 (tan.f64 (.f64 1/2 x))))
(+.f64 (.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1/2) (.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1/2))
(.f64 (.f64 4/3 (tan.f64 (*.f64 1/2 x))) (+.f64 1/2 1/2))
(+.f64 (.f64 (tan.f64 (.f64 x 1/2)) 0) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(.f64 (tan.f64 (.f64 1/2 x)) (+.f64 0 4/3))
(+.f64 (.f64 1/2 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (.f64 1/2 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 (.f64 4/3 (tan.f64 (*.f64 1/2 x))) (+.f64 1/2 1/2))
(+.f64 (.f64 0 (tan.f64 (.f64 x 1/2))) (.f64 4/3 (tan.f64 (.f64 x 1/2))))
(.f64 (tan.f64 (.f64 1/2 x)) (+.f64 0 4/3))
(-.f64 0 (.f64 -4/3 (tan.f64 (.f64 x 1/2))))
(.f64 (neg.f64 -4/3) (tan.f64 (.f64 1/2 x)))
(-.f64 (/.f64 0 (cos.f64 (.f64 x 1/2))) (.f64 -4/3 (tan.f64 (*.f64 x 1/2))))
(.f64 (neg.f64 -4/3) (tan.f64 (.f64 1/2 x)))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (/.f64 64/27 (cos.f64 (.f64 x 1/2))))) (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) 2) -1))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 (/.f64 64/27 (cos.f64 (.f64 1/2 x))))) (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x))))) 2))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (.f64 1/2 (-.f64 1 (cos.f64 x)))) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (cbrt.f64 (.f64 1/2 (-.f64 1 (cos.f64 x))))) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(.f64 (.f64 (cbrt.f64 (.f64 1/2 (-.f64 1 (cos.f64 x)))) (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (cbrt.f64 (.f64 1/2 (-.f64 1 (cos.f64 x))))) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2))))
(cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x))) 2)) (.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x))) 2) (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x)))))))
(.f64 (.f64 (.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 (/.f64 4/3 (cos.f64 (.f64 1/2 x))) (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 x))) (cbrt.f64 (sin.f64 (.f64 1/2 x))))) (cbrt.f64 (sin.f64 (*.f64 1/2 x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2)) (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2))))
(cbrt.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x))) 2)) (pow.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x))) 2)) (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x))))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 64/27) (cos.f64 (.f64 x 1/2)))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 64/27) (.f64 1/2 (+.f64 1 (cos.f64 x))))) (sin.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 64/27) (.f64 1/2 (+.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 64/27) (cos.f64 (.f64 1/2 x))))) (sin.f64 (*.f64 1/2 x)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2)) 2) (.f64 4/3 (tan.f64 (.f64 x 1/2))))))
(cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x))) 2)) (.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 1/2 x))) 2)) 2) 4/3) (tan.f64 (.f64 1/2 x)))))
(.f64 (cbrt.f64 (/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (.f64 1/2 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 (.f64 16/9 (.f64 1/2 (-.f64 1 (cos.f64 x)))) (cos.f64 (*.f64 x 1/2)))))
(cbrt.f64 (.f64 (/.f64 (.f64 16/9 (.f64 1/2 (-.f64 1 (cos.f64 x)))) (cos.f64 (.f64 1/2 x))) (/.f64 (.f64 4/3 (sin.f64 (.f64 1/2 x))) (*.f64 1/2 (+.f64 1 (cos.f64 x))))))
(.f64 (/.f64 (cbrt.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2)))) (cos.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 16/9 (.f64 1/2 (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (cbrt.f64 (.f64 16/9 (.f64 1/2 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (.f64 4/3 (sin.f64 (.f64 1/2 x))))) (cos.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2)))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (/.f64 1 (cos.f64 (.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (.f64 4/3 (sin.f64 (.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 1/2 x)))
(.f64 (.f64 (.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cbrt.f64 (.f64 1/2 (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 1 (cos.f64 x)))) 2)))
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(/.f64 (/.f64 (cbrt.f64 -4/3) (/.f64 (cos.f64 (*.f64 1/2 x)) (cbrt.f64 16/9))) -1)
(/.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3/4)
(/.f64 1 (.f64 (cos.f64 (.f64 1/2 x)) 3/4))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 1/2)) 64/27)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (cos.f64 (.f64 1/2 x))) 2) (/.f64 (cos.f64 (.f64 1/2 x)) 64/27)))
(/.f64 (-.f64 (.f64 0 (/.f64 (cos.f64 (.f64 x 1/2)) -4/3)) (neg.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (/.f64 (cos.f64 (.f64 x 1/2)) -4/3)))
(/.f64 (-.f64 0 (neg.f64 (cos.f64 (.f64 1/2 x)))) (.f64 (neg.f64 (cos.f64 (.f64 1/2 x))) (/.f64 (cos.f64 (.f64 1/2 x)) -4/3)))
(/.f64 (-.f64 (.f64 0 (neg.f64 (cos.f64 (.f64 x 1/2)))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) 4/3)) (*.f64 1/2 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 0 (.f64 (cos.f64 (.f64 1/2 x)) 4/3)) (*.f64 1/2 (+.f64 1 (cos.f64 x))))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (/.f64 -64/27 (cos.f64 (.f64 x 1/2)))))) (.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))) (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (+.f64 0 (.f64 (cos.f64 (.f64 1/2 x)) (cbrt.f64 (/.f64 -64/27 (cos.f64 (.f64 1/2 x)))))) (.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))) (neg.f64 (cos.f64 (.f64 1/2 x)))))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (neg.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (/.f64 64/27 (cos.f64 (.f64 x 1/2)))))) (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (neg.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))))))
(/.f64 (+.f64 0 (.f64 (cos.f64 (.f64 1/2 x)) (cbrt.f64 (/.f64 64/27 (cos.f64 (.f64 1/2 x)))))) (.f64 (neg.f64 (cos.f64 (.f64 1/2 x))) (cbrt.f64 (.f64 (neg.f64 1/2) (+.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 0 (.f64 (neg.f64 (cos.f64 (.f64 x 1/2))) -4/3)) (neg.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 (.f64 1/2 x)) -4/3))) (*.f64 (neg.f64 1/2) (+.f64 1 (cos.f64 x))))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))))) 1) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x))) 64/27))))
(/.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 1/2 x))))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))) (/.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))) 64/27))))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))))) 4/3) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 1/2 x))))) 4/3) (cbrt.f64 (.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))) (*.f64 1/2 (+.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))))) (cbrt.f64 (/.f64 64/27 (cos.f64 (.f64 x 1/2))))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 1/2 x)))) (/.f64 64/27 (cos.f64 (.f64 1/2 x))))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))) (cos.f64 (.f64 1/2 x)))))
(/.f64 (.f64 1 (/.f64 4/3 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))))) (.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x))))) 2)))
(/.f64 (/.f64 4/3 (cbrt.f64 (.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))) (cos.f64 (.f64 1/2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) 2))
(/.f64 (.f64 -1 (/.f64 4/3 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))))) (.f64 (cbrt.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x))))) 2)))
(/.f64 (neg.f64 (/.f64 4/3 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))))) (.f64 (cbrt.f64 (neg.f64 (cos.f64 (.f64 1/2 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) 2)))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))))) -4/3) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (neg.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x)))))))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (.f64 1/2 x))))) -4/3) (cbrt.f64 (.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))) (*.f64 (neg.f64 1/2) (+.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (sqrt.f64 4/3) (/.f64 (sqrt.f64 4/3) (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))))) (.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x))))) 2)))
(/.f64 (/.f64 4/3 (cbrt.f64 (.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))) (cos.f64 (.f64 1/2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) 2))
(/.f64 (.f64 (neg.f64 (sqrt.f64 4/3)) (/.f64 (sqrt.f64 4/3) (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))))) (.f64 (cbrt.f64 (neg.f64 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x))))) 2)))
(/.f64 (neg.f64 (/.f64 4/3 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))))) (.f64 (cbrt.f64 (neg.f64 (cos.f64 (.f64 1/2 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) 2)))
(/.f64 (.f64 (/.f64 (sqrt.f64 4/3) (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))))) (neg.f64 (sqrt.f64 4/3))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (neg.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x)))))))
(/.f64 (neg.f64 (/.f64 4/3 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x)))))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))) (.f64 (neg.f64 1/2) (+.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (/.f64 (sqrt.f64 4/3) (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))))) (cbrt.f64 (/.f64 (sqrt.f64 64/27) (cos.f64 (.f64 x 1/2))))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 (sqrt.f64 4/3) (cbrt.f64 (/.f64 (sqrt.f64 64/27) (cos.f64 (.f64 1/2 x))))) (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x))))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))) (cos.f64 (.f64 1/2 x)))))
(/.f64 (.f64 (/.f64 (sqrt.f64 4/3) (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))))) (sqrt.f64 4/3)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 4/3 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 1/2 x))))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x)))) (.f64 1/2 (+.f64 1 (cos.f64 x))))))
(/.f64 (cbrt.f64 -16/9) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 -4/3)))
(/.f64 (cbrt.f64 -16/9) (/.f64 (cos.f64 (*.f64 1/2 x)) (cbrt.f64 -4/3)))
(/.f64 (cbrt.f64 (.f64 (/.f64 16/9 (.f64 1/2 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 64/27 (cos.f64 (.f64 x 1/2)))))) (cbrt.f64 (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))))
(cbrt.f64 (/.f64 (.f64 (/.f64 16/9 (.f64 1/2 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 64/27 (cos.f64 (.f64 1/2 x))))) (cbrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 x))))))
(pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 1)
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(pow.f64 (.f64 (cos.f64 (.f64 x 1/2)) 3/4) -1)
(/.f64 1 (.f64 (cos.f64 (.f64 1/2 x)) 3/4))
(pow.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) 1/3)
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3)
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(neg.f64 (/.f64 (sqrt.f64 4/3) (neg.f64 (.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 3/4)))))
(/.f64 (sqrt.f64 4/3) (.f64 (cos.f64 (.f64 1/2 x)) (sqrt.f64 3/4)))
(neg.f64 (/.f64 (cbrt.f64 4/3) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 -16/9))))
(/.f64 (neg.f64 (cbrt.f64 4/3)) (/.f64 (cos.f64 (*.f64 1/2 x)) (cbrt.f64 -16/9)))
(neg.f64 (-.f64 (/.f64 -4/3 (cos.f64 (*.f64 x 1/2))) 0))
(/.f64 (neg.f64 -4/3) (cos.f64 (*.f64 1/2 x)))
(neg.f64 (/.f64 -4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 -4/3) (cos.f64 (*.f64 1/2 x)))
(cbrt.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(cbrt.f64 (.f64 (/.f64 64/27 (cos.f64 (.f64 x 1/2))) (pow.f64 (/.f64 -1 (cos.f64 (*.f64 x 1/2))) 2)))
(cbrt.f64 (.f64 (/.f64 64/27 (cos.f64 (.f64 1/2 x))) (pow.f64 (/.f64 -1 (cos.f64 (*.f64 1/2 x))) 2)))

eval2.1s (7.4%)

Compiler: Compiled 58242 to 42819 computations (26.5% saved)

prune1.0s (3.7%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	2552	1	2553
Fresh	2	0	2
Picked	1	0	1
Done	3	6	9
Total	2558	7	2565

Error

Counts

2565 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.9b	(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (sin.f64 x))
✓	28.6b	(/.f64 (*.f64 x 2) 3)
✓	0.2b	(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
✓	0.4b	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
	0.7b	(.f64 (tan.f64 (.f64 1/2 x)) (cbrt.f64 64/27))
✓	29.3b	(.f64 x (+.f64 (.f64 1/18 (*.f64 x x)) 2/3))
✓	28.8b	(*.f64 2/3 x)

Compiler

Compiled 52 to 42 computations (19.2% saved)

regimes52.0ms (0.2%)

Counts

44 → 1

Calls

Call 1

Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 2) 3)
(.f64 x (+.f64 (.f64 1/18 (*.f64 x x)) 2/3))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(/.f64 (.f64 1/4 (.f64 x x)) (/.f64 (sin.f64 x) 8/3))
(.f64 (tan.f64 (.f64 1/2 x)) (cbrt.f64 64/27))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
(/.f64 (-.f64 (cos.f64 x) 1) (*.f64 -3/4 (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 3/4)
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 3/8 x))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/4 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (-.f64 4/3 (/.f64 (*.f64 1/2 (cos.f64 x)) 3/8)) (sin.f64 x))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2))) 3/4)
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (sin.f64 x)) 2)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
(if (!=.f64 (tan.f64 (.f64 x 1/2)) 0) (/.f64 -1 (/.f64 -3/4 (tan.f64 (.f64 x 1/2)))) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 3/4)) (sqrt.f64 3/4))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sin.f64 x) 3/8))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))
(/.f64 (.f64 (/.f64 1 (sin.f64 x)) (.f64 8 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) -3)
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(-.f64 (/.f64 1/2 (.f64 (sin.f64 x) 3/8)) (/.f64 (.f64 1/2 (cos.f64 (.f64 x (+.f64 1/2 1/2)))) (.f64 (sin.f64 x) 3/8)))
(/.f64 (.f64 (cbrt.f64 512/27) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) 2) (sin.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 3) (sin.f64 x))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3) 2) (/.f64 (sin.f64 x) 8/3))
(/.f64 (pow.f64 (.f64 512/27 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 3)) 1/3) (sin.f64 x))

Outputs
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)

Calls

2 calls:

23.0ms	x
16.0ms	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))`

Compiler

Compiled 515 to 381 computations (26% saved)

regimes5.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 2) 3)
(.f64 x (+.f64 (.f64 1/18 (*.f64 x x)) 2/3))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)

Outputs
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes7.0ms (0%)

Accuracy

Total -0.8b remaining (-2.7%)

Threshold costs -0.8b (-2.7%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 2) 3)
(.f64 x (+.f64 (.f64 1/18 (*.f64 x x)) 2/3))

Outputs
(/.f64 (*.f64 x 2) 3)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
28.6b	1	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

simplify1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 24 to 20 computations (16.7% saved)

soundness0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

end35.0ms (0.1%)

Compiler: Compiled 21 to 17 computations (19% saved)