Details

analyze480.0ms (4.9%)

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)

sample3.3s (33.1%)

Results

1.4s	2083×	body	1024	valid
1.3s	5120×	body	256	valid
506.0ms	1047×	body	512	valid
6.0ms	6×	body	2048	valid

Bogosity

preprocess8.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

24×	`*-commutative`
16×	`associate-/l*`
16×	`associate-/r/`
6×	`associate-r`
6×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	22	43
2	33	43
3	45	43
4	56	43
5	60	43
0	1	1

Stop Event

1×	saturated
1×	saturated

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

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative`
16×	`associate-/l*`
16×	`associate-/r/`
6×	`associate-r`
6×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	22	43
2	33	43
3	45	43
4	56	43
5	60	43

Stop Event

1×

saturated

Counts

1 → 4

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

eval1.0ms (0%)

Compiler: Compiled 59 to 44 computations (25.4% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1	3	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	4	5

Error

24.24%

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.53%	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
▶	24.61%	(/.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
▶	24.5%	(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)) 8/3)

Status

Error

Program

▶

24.53%

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

▶

24.61%

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

▶

24.5%

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

Compiler

Compiled 47 to 38 computations (19.1% saved)

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4%	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓	0.57%	(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)) 8/3)
✓	24.2%	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))

New

Error

Program

✓

0.4%

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

✓

0.57%

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

✓

24.2%

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

Compiler

Compiled 48 to 34 computations (29.2% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite95.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1758×	`associate-*r/`
1484×	`associate-*l/`
1222×	`associate-/r*`
958×	`associate-/l*`
264×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	77
1	257	77
2	3402	75

Stop Event

1×	node limit

Counts

3 → 264

Calls

Call 1

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

Inputs

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

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

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) 8/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) 8/3) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (/.f64 (sin.f64 x) 8/3) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (/.f64 (sin.f64 x) 8/3) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (/.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 0) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) 8/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (/.f64 (sin.f64 x) 8/3) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (cos.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 1/2 (cos.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (/.f64 2 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (/.f64 2 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 0 x) 2)) (sin.f64 (/.f64 (+.f64 x 0) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) 1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) 1) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 x) (cos.f64 x))) 1/2) (+.f64 (cos.f64 0) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 x) 3)) 1/2) (+.f64 (+.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (cos.f64 0) (cos.f64 x))))))) (#(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 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))))

simplify146.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1576×	`associate-/l*`
1054×	`associate-/l/`
682×	`times-frac`
678×	`associate-/r/`
576×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	700	11172
1	1772	9948
2	7730	9948

Stop Event

1×	node limit

Counts

300 → 394

Calls

Call 1

Inputs
(*.f64 1/4 x)
(+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/4 x))
(+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(+.f64 (.f64 17/80640 (pow.f64 x 7)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (.f64 1/4 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.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)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (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)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 1)
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1)
(.f64 1 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 1 (sin.f64 x))))
(.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) (/.f64 -1 (sin.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1)
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 8/3))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) 8/3) 1))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)
(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) 8/3) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (/.f64 (sin.f64 x) 8/3) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (/.f64 (sin.f64 x) 8/3) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (/.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 8/3)))
(/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))
(/.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) 8/3))
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(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 1 (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 8/3 (+.f64 -1/2 (.f64 1/2 (cos.f64 x)))) 1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (.f64 8/3 (+.f64 -1/2 (.f64 1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 8/3 (+.f64 -1/2 (.f64 1/2 (cos.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 8/3 (+.f64 -1/2 (.f64 1/2 (cos.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 8/3 (+.f64 -1/2 (.f64 1/2 (cos.f64 x)))) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 8/3 (+.f64 -1/2 (.f64 1/2 (cos.f64 x)))) -1) (sin.f64 x))
(/.f64 (/.f64 (.f64 8/3 (+.f64 -1/2 (.f64 1/2 (cos.f64 x)))) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (.f64 8/3 (+.f64 -1/2 (.f64 1/2 (cos.f64 x)))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) 8/3) 1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) 8/3) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) 8/3) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) 8/3) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) 8/3) -1) (sin.f64 x))
(/.f64 (/.f64 (.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) 8/3) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) 8/3) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) 1) (sin.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 1) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) -1) (sin.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)
(pow.f64 (.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 x))))
(+.f64 (*.f64 -1/2 (cos.f64 x)) 1/2)
(+.f64 (neg.f64 (*.f64 1/2 (cos.f64 x))) 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (exp.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x))))) 1)
(-.f64 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1)
(/.f64 1 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 1 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 2)
(/.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (/.f64 2 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (/.f64 2 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) -2)
(/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (+.f64 1/2 (.f64 1/2 (cos.f64 x))))
(/.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 x)) 3)) (+.f64 (+.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 1) 2)
(/.f64 -2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 0 x) 2)) (sin.f64 (/.f64 (+.f64 x 0) 2)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 1 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x))))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (.f64 1 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 x)) 3))) (+.f64 (+.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (sin.f64 (.f64 x 1/2))) (sqrt.f64 2))
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 1) -2)
(/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) 1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 x)) 3)) 1) (+.f64 (+.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 x) (cos.f64 x))) 1/2) (+.f64 (cos.f64 0) (cos.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 x) 3)) 1/2) (+.f64 (+.f64 (.f64 (cos.f64 0) (cos.f64 0)) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (cos.f64 0) (cos.f64 x))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3))
(expm1.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x)))))
(exp.f64 (.f64 2 (log.f64 (sin.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))

Outputs
(*.f64 1/4 x)
(+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/4 x))
(fma.f64 1/48 (pow.f64 x 3) (*.f64 1/4 x))
(+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/480 (pow.f64 x 5) (*.f64 1/4 x)))
(+.f64 (.f64 17/80640 (pow.f64 x 7)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (.f64 1/4 x))))
(fma.f64 17/80640 (pow.f64 x 7) (fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/480 (pow.f64 x 5) (*.f64 1/4 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.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 x 2/3 (*.f64 (pow.f64 x 3) 1/18))
(+.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 (pow.f64 x 5) 1/180)))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180)))
(+.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 (pow.f64 x 5) 1/180))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 7) 17/30240 (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (.f64 8/3 (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)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (.f64 8/3 (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)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
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(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(fma.f64 -1/2 (cos.f64 x) 1/2)

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.4%	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓	0.49%	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
✓	24.25%	(/.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

New

Error

Program

0.4%

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

✓

0.49%

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

✓

24.25%

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

Compiler

Compiled 47 to 35 computations (25.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`associate-/r*`
1348×	`associate-*r/`
1230×	`associate-/l*`
1108×	`associate-*l/`
264×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	257	56
2	3417	52

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)) (.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (sqrt.f64 8/3))) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 8/3))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 8/3 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x))))) (+.f64 1/2 (.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 8/3 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 x)) 3))) (+.f64 1/4 (+.f64 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x))) (.f64 1/2 (.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 8/3 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) 8/3) (+.f64 1/2 (.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 x)) 3)) 8/3) (+.f64 1/4 (+.f64 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x))) (.f64 1/2 (.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 8/3) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (*.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))) (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) 8/3) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) 8/3) (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 8/3) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))))

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1522×	`associate-/l*`
998×	`*-commutative`
782×	`times-frac`
698×	`associate-/r*`
644×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	3322
1	630	3184
2	2297	3180

Stop Event

1×	node limit

Counts

98 → 157

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 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 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 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1)
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)) (.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (/.f64 1 (sin.f64 x))))
(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))
(.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 8/3))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) -1)
(neg.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) 1)
(/.f64 8/3 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 x))))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 2)
(/.f64 (.f64 8/3 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x))))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (.f64 8/3 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 x)) 3))) (+.f64 1/4 (+.f64 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x))) (.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(/.f64 (*.f64 8/3 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2)
(/.f64 (.f64 1 (.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x)))) 2)
(/.f64 (.f64 1 (.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3)) 2)
(/.f64 (.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 2))
(/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) 8/3) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 x)) 3)) 8/3) (+.f64 1/4 (+.f64 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x))) (.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 8/3) -2)
(/.f64 (.f64 (.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 1) 2)
(/.f64 (.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 1) 2)
(pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 1)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9))
(log.f64 (exp.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(exp.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))

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))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.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))))
(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 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 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(*.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)))
(fma.f64 2/3 (.f64 x x) (.f64 -1/18 (pow.f64 x 4)))
(+.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)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (.f64 -1/30240 (pow.f64 x 8)))))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1)
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
(*.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
(*.f64 1 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))
(pow.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) 2)
(pow.f64 (.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 2)
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x))))
(.f64 (pow.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (/.f64 1 (sin.f64 x)))
(/.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) 2) (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)) (.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (/.f64 1 (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)) (.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (/.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (sin.f64 x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)) (/.f64 (cbrt.f64 (+.f64 4/3 (.f64 -4/3 (cos.f64 x)))) (sin.f64 x)))
(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
(.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) 3/4)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 3/4 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 4/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (cbrt.f64 (sin.f64 x)) 3/4)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 3/4 (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 3/4 (cbrt.f64 (sin.f64 x)))))
(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(/.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) 8/3))
(/.f64 (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) (sqrt.f64 (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(/.f64 (.f64 8/3 (/.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) 8/3))
(/.f64 (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) (sqrt.f64 (sin.f64 x)))
(.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (cbrt.f64 (sin.f64 x))))
(/.f64 8/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (cbrt.f64 (sin.f64 x)))))
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(pow.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 3)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(pow.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3) 1/3)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(sqrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9))
(log.f64 (exp.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(exp.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 1))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.25%	(.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))
✓	0.59%	(.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2)))
✓	24.25%	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

New

Error

Program

✓

0.25%

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

✓

0.59%

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

✓

24.25%

(/.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)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`associate-/r*`
1454×	`associate-/l*`
1056×	`associate-*r/`
916×	`associate-*l/`
282×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	93
1	289	73
2	3436	73

Stop Event

1×	node limit

Counts

3 → 88

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)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (*.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 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(sin.f64 x)) 2)) (/.f64 8/3 (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/3) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (sin.f64 x)) (cbrt.f64 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(*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 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(expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 8/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))))

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1494×	`unswap-sqr`
828×	`distribute-rgt-in`
828×	`distribute-lft-in`
714×	`associate-/r*`
580×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	4380
1	701	4250
2	2603	4240

Stop Event

1×	node limit

Counts

124 → 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 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(*.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 (exp.f64 (log1p.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) 1)
(.f64 8/3 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)
(.f64 1 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) (.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 -1 (sin.f64 x)) (.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 8/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 8/3) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) 1) (/.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) (sin.f64 x)) (cbrt.f64 (.f64 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))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)))) (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 64/9)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 1)
(pow.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) -1)
(neg.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2))
(log.f64 (exp.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(exp.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) 1)
(pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 64/9))
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) 1)
(/.f64 (.f64 8/3 (-.f64 (cos.f64 (-.f64 (.f64 x 1/2) (.f64 x 1/2))) (cos.f64 (.f64 2 (*.f64 x 1/2))))) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 x 1/2) (.f64 x 1/2))) (cos.f64 (.f64 2 (*.f64 x 1/2)))) 8/3) 2)
(pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 1)
(pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 3)
(pow.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2))
(log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3) (pow.f64 (sin.f64 (.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(exp.f64 (log.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(log1p.f64 (expm1.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
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(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (/.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(.f64 (/.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) (sin.f64 x)) (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) (.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) (/.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 1 (/.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))
(.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)))) (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) (.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) (/.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 64/9)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 (.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 64/9)) (sin.f64 x)) (sin.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 64/9)) (sin.f64 x))) (cbrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (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))
(pow.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (.f64 (/.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 x))) (sin.f64 (.f64 x 1/2))) 2)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 3)
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(pow.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3) 1/3)
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(pow.f64 (/.f64 (sin.f64 x) (.f64 8/3 (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))
(neg.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x))))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2))
(fabs.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(log.f64 (exp.f64 (.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))
(log.f64 (+.f64 1 (expm1.f64 (.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))
(cbrt.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(expm1.f64 (log1p.f64 (.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))
(exp.f64 (log.f64 (.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))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (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))
(log1p.f64 (expm1.f64 (.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))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) 1)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 2)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 3)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3) 1/3)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(sqrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 64/9))
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(cbrt.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(expm1.f64 (log1p.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(log1p.f64 (expm1.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) 1)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(/.f64 (.f64 8/3 (-.f64 (cos.f64 (-.f64 (.f64 x 1/2) (.f64 x 1/2))) (cos.f64 (.f64 2 (*.f64 x 1/2))))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 2 (.f64 x 1/2)))) 3/4)
(.f64 4/3 (-.f64 1 (cos.f64 (.f64 x 1))))
(-.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1)) 3/4))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 x 1/2) (.f64 x 1/2))) (cos.f64 (.f64 2 (*.f64 x 1/2)))) 8/3) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (.f64 2 (.f64 x 1/2)))) 3/4)
(.f64 4/3 (-.f64 1 (cos.f64 (.f64 x 1))))
(-.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1)) 3/4))
(pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 1)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 2)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(pow.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 3)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(pow.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3) 1/3)
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(sqrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2))
(fabs.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3)))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(cbrt.f64 (.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3) (pow.f64 (sin.f64 (.f64 x 1/2)) 3)))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(expm1.f64 (log1p.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(exp.f64 (log.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(log1p.f64 (expm1.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))

eval282.0ms (2.9%)

Compiler: Compiled 14244 to 9786 computations (31.3% saved)

prune147.0ms (1.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	779	17	796
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	782	17	799

Error

Counts

799 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	48.32%	(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)
	24.59%	(/.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 2) (sin.f64 x))
	24.39%	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
	46.01%	(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
▶	46.12%	(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
	46.25%	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
	46.02%	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
▶	46.18%	(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
	24.65%	(/.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))) (sin.f64 x))
	74.59%	(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
▶	0.74%	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (.f64 x 1/2))))
	24.55%	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
	46.08%	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
▶	0.48%	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
	24.61%	(.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
	0.57%	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
▶	50.62%	(*.f64 x 2/3)

Compiler

Compiled 396 to 324 computations (18.2% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.21%	(/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)
✓	0.24%	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
✓	0.29%	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))

Compiler

Compiled 40 to 28 computations (30% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite101.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1268×	`associate-/r*`
1146×	`associate-/l*`
946×	`unswap-sqr`
810×	`swap-sqr`
256×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	81
1	256	71
2	3239	71

Stop Event

1×	node limit

Counts

3 → 266

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 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(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))))

simplify121.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1612×	`associate-/l*`
912×	`associate-/l/`
850×	`times-frac`
848×	`associate-/r*`
842×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	686	14178
1	1810	14104

Stop Event

1×	node limit

Counts

302 → 408

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 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 5/768 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 61/92160 (pow.f64 x 6)) (+.f64 (.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(*.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 (exp.f64 (log1p.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 1)
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) 1))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 1))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 x) -3/8) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1)
(/.f64 1 (.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 3/8))
(/.f64 1 (/.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) -3/8) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 1 (/.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 3/8 (.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (sin.f64 (.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (.f64 (sin.f64 x) 3/8) (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 8/3)))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 x) 3/8) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) -3/8) (neg.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (.f64 x 1/2))))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 3/8 (sqrt.f64 (sin.f64 (.f64 x 1/2))))))
(/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))))
(/.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(/.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) (/.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (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 3/8 (.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (sin.f64 (.f64 x 1/2)))))
(/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (.f64 (sin.f64 x) 3/8) (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)))
(/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)))
(/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)))
(/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (/.f64 (.f64 (sin.f64 x) 3/8) (sin.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 8/3)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (.f64 (sin.f64 x) 3/8) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (sin.f64 x) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) -3/8) (neg.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (.f64 x 1/2))))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 3/8 (cbrt.f64 (sin.f64 (.f64 x 1/2))))))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (neg.f64 (.f64 (sin.f64 x) -3/8)))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3/8)
(/.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 8/3) (sin.f64 x))
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(neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)))
(neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))))
(neg.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) -3/8)))
(neg.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) -3/8))
(neg.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 8/3) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 2))
(log.f64 (exp.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3) (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (log.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 -1 (sin.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) (.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(neg.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x))) 1))
(neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 -1 (sin.f64 x))))
(neg.f64 (.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) 8/3)
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1)
(.f64 1 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 8/3))
(.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (cbrt.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))
(.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9)) (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 8/3))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) -8/3)
(.f64 -8/3 (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 3/8 (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 3/8 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 3/8) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) 3/8) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))))
(.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 1)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 2)
(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 3/8 (sin.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))
(neg.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) -3/8) 1))
(neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3))
(neg.f64 (.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) -3/8)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(sqrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))
(log.f64 (exp.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))

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 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (.f64 1/16 (.f64 x x)))
(+.f64 1/2 (.f64 x (.f64 x 1/16)))
(+.f64 1/2 (+.f64 (.f64 5/768 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (fma.f64 5/768 (pow.f64 x 4) (.f64 1/16 (.f64 x x))))
(+.f64 1/2 (fma.f64 5/768 (pow.f64 x 4) (.f64 x (.f64 x 1/16))))
(+.f64 1/2 (+.f64 (.f64 61/92160 (pow.f64 x 6)) (+.f64 (.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 1/2 (fma.f64 61/92160 (pow.f64 x 6) (fma.f64 5/768 (pow.f64 x 4) (.f64 1/16 (.f64 x x)))))
(+.f64 1/2 (fma.f64 61/92160 (pow.f64 x 6) (fma.f64 5/768 (pow.f64 x 4) (.f64 x (.f64 x 1/16)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
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(.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 1 (sin.f64 x)))))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) 1/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(neg.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x))) 1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 -1 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(neg.f64 (.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) 1)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) 8/3)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 1 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 8/3))
(.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) 8/3)
(.f64 8/3 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (cbrt.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))
(.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))
(.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (+.f64 32/9 (.f64 64/9 (*.f64 -1/2 (cos.f64 x))))))
(.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9)) (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))
(.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (+.f64 32/9 (.f64 64/9 (*.f64 -1/2 (cos.f64 x))))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 8/3))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 8/3 (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) -8/3)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 -8/3 (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 1 (/.f64 3/8 (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) 8/3)
(.f64 8/3 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 1 (/.f64 3/8 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 8/3 (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 3/8) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) 8/3)
(.f64 8/3 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) 3/8) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3/8))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 3/8 (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(.f64 (.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(.f64 (.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))))
(.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (.f64 64/9 (.f64 -1/2 (cos.f64 x)))))) (.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (.f64 64/9 (.f64 -1/2 (cos.f64 x)))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (.f64 64/9 (.f64 -1/2 (cos.f64 x)))))) (.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (.f64 64/9 (.f64 -1/2 (cos.f64 x)))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))))))))
(.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))
(.f64 (.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (.f64 64/9 (.f64 -1/2 (cos.f64 x)))))) (.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (.f64 64/9 (.f64 -1/2 (cos.f64 x)))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))))))))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 1)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 2)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 3)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3) 1/3)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -1)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(neg.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) -3/8) 1))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(neg.f64 (.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) -3/8)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(sqrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))
(sqrt.f64 (+.f64 32/9 (.f64 64/9 (.f64 -1/2 (cos.f64 x)))))
(log.f64 (exp.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.55%	(*.f64 x 2/3)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`associate-l`
902×	`add-sqr-sqrt`
884×	`*-un-lft-identity`
842×	`pow1`
826×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	7
2	1110	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 x 2/3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 2/3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 2/3)))))))

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

862×	`log-prod`
820×	`associate-+r-`
788×	`+-commutative`
696×	`fma-def`
672×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	161
1	84	161
2	259	161
3	1819	161
4	4000	161
5	6465	161

Stop Event

1×	node limit

Counts

23 → 12

Calls

Call 1

Inputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(sqrt.f64 (.f64 x (.f64 x 4/9)))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))

Outputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(*.f64 2/3 x)
(pow.f64 (*.f64 x 2/3) 1)
(*.f64 2/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 2/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(*.f64 2/3 x)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(*.f64 2/3 x)
(sqrt.f64 (.f64 x (.f64 x 4/9)))
(*.f64 2/3 x)
(log.f64 (pow.f64 (exp.f64 2/3) x))
(*.f64 2/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))
(*.f64 2/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (log.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(cos.f64 x)
✓	0.27%	(*.f64 -4/3 (cos.f64 x))
✓	0.27%	(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
✓	3.04%	(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series4.0ms (0%)

Counts

4 → 16

Calls

12 calls:

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

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1028×	`*-commutative`
1012×	`associate-*r/`
760×	`associate-*l/`
758×	`associate-/r*`
600×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	60
1	233	52
2	2942	52

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -4/3 (cos.f64 x)))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/9 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))) (/.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 4/3 (.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 4/3 (exp.f64 (log1p.f64 (.f64 -4/3 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -4/3 (cos.f64 x) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (/.f64 1 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) (neg.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)) (neg.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))) (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)))) (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -4/3 (cos.f64 x) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (-.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (+.f64 16/9 (.f64 (cos.f64 x) (+.f64 (.f64 16/9 (cos.f64 x)) -16/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (-.f64 256/81 (.f64 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)) (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))))) (-.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (+.f64 4096/729 (pow.f64 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)) 3))) (+.f64 256/81 (.f64 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)) (-.f64 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)) 16/9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))) (sqrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) (cbrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))) (cbrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 -4/3 (cos.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (/.f64 1 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (/.f64 1 (+.f64 4/3 (.f64 4/3 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (/.f64 1 (/.f64 1 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (/.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))) (sqrt.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (sqrt.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (cbrt.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)))) (/.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))) (cbrt.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))))) (/.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (cbrt.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (.f64 1 (neg.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (neg.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (.f64 1 (neg.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9) (-.f64 (.f64 -4/3 (cos.f64 x)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9) (.f64 1 (-.f64 (.f64 -4/3 (cos.f64 x)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4096/729 (.f64 (.f64 (pow.f64 (cos.f64 x) 3) -64/27) (.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))) (-.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 256/81 (.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) (.f64 16/9 (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (+.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 262144/19683 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 3) -64/27) 3)) (.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))) (+.f64 4096/729 (.f64 (.f64 (pow.f64 (cos.f64 x) 3) -64/27) (-.f64 (.f64 (pow.f64 (cos.f64 x) 3) -64/27) 64/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4096/729 (pow.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) 3)) (.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (+.f64 256/81 (.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (neg.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))))) (neg.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (neg.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)))) (neg.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9)) (-.f64 (.f64 -4/3 (cos.f64 x)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -4/3 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -4/3 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 -4/3 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -4/3 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (cos.f64 x) 3) -64/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 3) -64/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4/3 (cos.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 x)))))))

simplify107.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

892×	`distribute-lft-neg-in`
880×	`associate-r`
824×	`associate-l`
584×	`+-commutative`
560×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	441	6914
1	1133	6324
2	5879	5964

Stop Event

1×	node limit

Counts

184 → 258

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 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)))))
-4/3
(-.f64 (*.f64 2/3 (pow.f64 x 2)) 4/3)
(-.f64 (+.f64 (.f64 2/3 (pow.f64 x 2)) (.f64 -1/18 (pow.f64 x 4))) 4/3)
(-.f64 (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/18 (pow.f64 x 4)) (*.f64 1/540 (pow.f64 x 6)))) 4/3)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x)))) -1/3)
(-.f64 (/.f64 16/9 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))) (/.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(-.f64 (+.f64 4/3 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x))))) 1)
(*.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 1)
(*.f64 1 (fma.f64 -4/3 (cos.f64 x) 4/3))
(*.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(*.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (/.f64 1 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)))))
(*.f64 -1 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) (neg.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)) (neg.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))
(.f64 (/.f64 1 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))))
(.f64 (/.f64 1 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)))) (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)))
(.f64 (/.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -4/3 (cos.f64 x) 4/3))
(.f64 (/.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (-.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (+.f64 16/9 (.f64 (cos.f64 x) (+.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(.f64 (/.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (-.f64 256/81 (.f64 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)) (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))))) (-.f64 16/9 (.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(.f64 (/.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (+.f64 4096/729 (pow.f64 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)) 3))) (+.f64 256/81 (.f64 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)) (-.f64 (.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 16/9))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))) (sqrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) (cbrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))) (cbrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 1)
(/.f64 1 (/.f64 1 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (/.f64 1 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))
(/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))
(/.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (/.f64 1 (+.f64 4/3 (.f64 4/3 (cos.f64 x))))))
(/.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(/.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (/.f64 1 (/.f64 1 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))))
(/.f64 (sqrt.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (/.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))) (sqrt.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)))))
(/.f64 (sqrt.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (sqrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (cbrt.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)))) (/.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))) (cbrt.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))))) (/.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (cbrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))))))
(/.f64 (neg.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))))
(/.f64 (neg.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (.f64 1 (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))))
(/.f64 (neg.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (neg.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))))
(/.f64 (neg.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (.f64 1 (neg.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))))))
(/.f64 (-.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9) (-.f64 (.f64 -4/3 (cos.f64 x)) 4/3))
(/.f64 (-.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9) (.f64 1 (-.f64 (*.f64 -4/3 (cos.f64 x)) 4/3)))
(/.f64 (-.f64 4096/729 (.f64 (.f64 (pow.f64 (cos.f64 x) 3) -64/27) (.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))))
(/.f64 (-.f64 256/81 (.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) (.f64 16/9 (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (+.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9)))
(/.f64 (+.f64 262144/19683 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 3) -64/27) 3)) (.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))) (+.f64 4096/729 (.f64 (.f64 (pow.f64 (cos.f64 x) 3) -64/27) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 64/27)))))
(/.f64 (-.f64 4096/729 (pow.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) 3)) (.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (+.f64 256/81 (.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9)))))
(/.f64 (.f64 1 (neg.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))))) (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (.f64 1 (neg.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)))) (neg.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)))))
(/.f64 (.f64 1 (-.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9)) (-.f64 (*.f64 -4/3 (cos.f64 x)) 4/3))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)))) (sqrt.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (cbrt.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)))) (cbrt.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (cbrt.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (.f64 (neg.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) 1) (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (.f64 (neg.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27))) 1) (neg.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)))))
(/.f64 (.f64 (-.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9) 1) (-.f64 (*.f64 -4/3 (cos.f64 x)) 4/3))
(/.f64 (.f64 (sqrt.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) (sqrt.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) (sqrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)) (cbrt.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)) (cbrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (.f64 (-.f64 256/81 (.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) (.f64 16/9 (pow.f64 (cos.f64 x) 2)))) (/.f64 1 (+.f64 4/3 (.f64 4/3 (cos.f64 x))))) (+.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9))
(/.f64 (.f64 (-.f64 4096/729 (pow.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) 3)) (/.f64 1 (+.f64 4/3 (.f64 4/3 (cos.f64 x))))) (+.f64 256/81 (.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) 16/9))))
(/.f64 (.f64 (-.f64 4096/729 (.f64 (.f64 (pow.f64 (cos.f64 x) 3) -64/27) (.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (/.f64 1 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))))) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)))
(/.f64 (.f64 (+.f64 262144/19683 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 3) -64/27) 3)) (/.f64 1 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))))) (+.f64 4096/729 (.f64 (.f64 (pow.f64 (cos.f64 x) 3) -64/27) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 64/27))))
(/.f64 (/.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))) 1) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (/.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))))) (sqrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (/.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (.f64 (cbrt.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))) (cbrt.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))))) (cbrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (/.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) 1) (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(/.f64 (/.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sqrt.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))))) (sqrt.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))))
(/.f64 (/.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (.f64 (cbrt.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)))) (cbrt.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)))))) (cbrt.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)))))
(pow.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 1)
(pow.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 3)
(pow.f64 (pow.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 3) 1/3)
(neg.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(sqrt.f64 (pow.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 2))
(log.f64 (exp.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))
(cbrt.f64 (pow.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(exp.f64 (log.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(log1p.f64 (expm1.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 (cos.f64 x) -4/3 4/3)
(fma.f64 1 (*.f64 -4/3 (cos.f64 x)) 4/3)
(fma.f64 (sqrt.f64 (.f64 -4/3 (cos.f64 x))) (sqrt.f64 (.f64 -4/3 (cos.f64 x))) 4/3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -4/3 (cos.f64 x))) 2) (cbrt.f64 (.f64 -4/3 (cos.f64 x))) 4/3)
(+.f64 (.f64 (/.f64 1 (sin.f64 x)) 4/3) (.f64 (/.f64 1 (sin.f64 x)) (*.f64 -4/3 (cos.f64 x))))
(+.f64 (.f64 (/.f64 1 (sin.f64 x)) (.f64 -4/3 (cos.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) 4/3))
(+.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 (*.f64 -4/3 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(+.f64 (.f64 (.f64 -4/3 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (*.f64 4/3 (/.f64 1 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) 1)
(*.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 2))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 -4/3 (cos.f64 x) 4/3))
(*.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 1))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) 1))
(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 1) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (sin.f64 x)) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(.f64 (/.f64 (/.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -4/3 (cos.f64 x) 4/3))
(.f64 (/.f64 (/.f64 (+.f64 16/9 (.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (-.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (+.f64 16/9 (.f64 (cos.f64 x) (+.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(.f64 (/.f64 (/.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (-.f64 256/81 (.f64 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)) (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9))))) (-.f64 16/9 (.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(.f64 (/.f64 (/.f64 (+.f64 64/27 (.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)) 3))) (+.f64 256/81 (.f64 (.f64 (cos.f64 x) (-.f64 (.f64 16/9 (cos.f64 x)) -16/9)) (-.f64 (.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 16/9))))
(pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 -4/3 (cos.f64 x) 4/3)) -1)
(neg.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x)))) 1)
(pow.f64 (*.f64 -4/3 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 -4/3 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 -4/3 (cos.f64 x))) 3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 1/3)
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -4/3 (cos.f64 x)))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))
(expm1.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 -4/3 (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 -4/3 (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)
(*.f64 (cos.f64 x) 1)
(*.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))

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 2/3 (.f64 x x) (.f64 -1/18 (pow.f64 x 4)))
(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 2/3 (.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (.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)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (.f64 -1/30240 (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))))
(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 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 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
-4/3
(-.f64 (*.f64 2/3 (pow.f64 x 2)) 4/3)
(fma.f64 2/3 (*.f64 x x) -4/3)
(-.f64 (+.f64 (.f64 2/3 (pow.f64 x 2)) (.f64 -1/18 (pow.f64 x 4))) 4/3)
(+.f64 (fma.f64 2/3 (.f64 x x) (.f64 -1/18 (pow.f64 x 4))) -4/3)
(fma.f64 2/3 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) -4/3))
(-.f64 (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/18 (pow.f64 x 4)) (*.f64 1/540 (pow.f64 x 6)))) 4/3)
(+.f64 (fma.f64 2/3 (.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (.f64 1/540 (pow.f64 x 6)))) -4/3)
(+.f64 (fma.f64 2/3 (.f64 x x) (.f64 1/540 (pow.f64 x 6))) (fma.f64 -1/18 (pow.f64 x 4) -4/3))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 (fma.f64 (.f64 x x) -1/2 1) (.f64 (pow.f64 x 4) 1/24))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 (pow.f64 x 6) -1/720))))
(+.f64 (fma.f64 (.f64 x x) -1/2 1) (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) -1/720)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) 1)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x)))) -1/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(-.f64 (/.f64 16/9 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))) (/.f64 (.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(+.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (/.f64 -16/9 (/.f64 (fma.f64 4/3 (cos.f64 x) 4/3) (pow.f64 (cos.f64 x) 2))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3))
(-.f64 (+.f64 4/3 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x))))) 1)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 1)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 1 (fma.f64 -4/3 (cos.f64 x) 4/3))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))
(fma.f64 -4/3 (cos.f64 x) 4/3)
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(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 3)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 3) 1/3)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 -4/3 (cos.f64 x) 4/3)) -1)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(neg.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (neg.f64 (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 2))
(fabs.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))
(log.f64 (exp.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 3))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x)))) 1)
(*.f64 -4/3 (cos.f64 x))
(pow.f64 (*.f64 -4/3 (cos.f64 x)) 1)
(*.f64 -4/3 (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 -4/3 (cos.f64 x))) 2)
(*.f64 -4/3 (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 -4/3 (cos.f64 x))) 3)
(*.f64 -4/3 (cos.f64 x))
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))
(*.f64 -4/3 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -4/3 (cos.f64 x)))))
(*.f64 -4/3 (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))
(expm1.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x))))
(*.f64 -4/3 (cos.f64 x))
(exp.f64 (log.f64 (*.f64 -4/3 (cos.f64 x))))
(*.f64 -4/3 (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 -4/3 (cos.f64 x))))
(*.f64 -4/3 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(cos.f64 x)
(*.f64 1 (cos.f64 x))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(cos.f64 x)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(fabs.f64 (cos.f64 x))
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.22%	(/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
✓	0.34%	(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
✓	0.56%	(/.f64 8/3 (sin.f64 x))
✓	2.78%	(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))

Compiler

Compiled 45 to 30 computations (33.3% saved)

series5.0ms (0%)

Counts

4 → 24

Calls

12 calls:

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

rewrite102.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`associate-/r*`
1174×	`associate-/l*`
882×	`associate-/r/`
604×	`associate-/l/`
324×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	90
1	324	72
2	4147	72

Stop Event

1×	node limit

Counts

4 → 246

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (cos.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 1/4 (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (.f64 -1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (neg.f64 (-.f64 -1/2 (.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 -1/2 (.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))) (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))) (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1/2 (cos.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) 1) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) 1) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 -1)) (sqrt.f64 (-.f64 -1/2 (.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) -1) (cbrt.f64 (-.f64 -1/2 (.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (-.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (-.f64 1/16 (.f64 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x))) (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x)))))) (+.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (.f64 -1/4 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (+.f64 1/64 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x))) 3))) (+.f64 1/16 (-.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x))) (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x)))) (.f64 1/4 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) -1) (cbrt.f64 (-.f64 -1/2 (.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 1/2 (.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1/2 (.f64 -1/2 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))) (sqrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (/.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))) (sqrt.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1/8 (.f64 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(cos.f64 x) 2))))) (+.f64 1/2 (.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (neg.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))) (-.f64 1/16 (.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (+.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))))))

simplify107.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1216×	`associate-r`
1088×	`associate-l`
852×	`associate-/l*`
674×	`times-frac`
654×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	633	11528
1	1691	10680

Stop Event

1×	node limit

Counts

270 → 401

Calls

Call 1

Inputs
(*.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)))))
(/.f64 8/3 x)
(+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x)))
(+.f64 (.f64 4/9 x) (+.f64 (.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))
(+.f64 (.f64 4/9 x) (+.f64 (.f64 31/5670 (pow.f64 x 5)) (+.f64 (.f64 7/135 (pow.f64 x 3)) (.f64 8/3 (/.f64 1 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)))))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 4 (pow.f64 x 2))
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 1/60 (pow.f64 x 2))))
(+.f64 1/3 (+.f64 (.f64 1/1512 (pow.f64 x 4)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1)
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 1/4 (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))) 1)
(*.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(.f64 1 (neg.f64 (-.f64 -1/2 (.f64 -1/2 (cos.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1)
(.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))))
(.f64 -1 (-.f64 -1/2 (.f64 -1/2 (cos.f64 x))))
(.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))
(.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))) (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))
(.f64 (/.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1/2 (cos.f64 x) 1/2))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) 1) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) 1) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 -1)) (sqrt.f64 (-.f64 -1/2 (.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) -1) (cbrt.f64 (-.f64 -1/2 (.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (-.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))
(.f64 (/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (-.f64 1/16 (.f64 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x))) (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x)))))) (+.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/4 (cos.f64 x))))
(.f64 (/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (+.f64 1/64 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x))) 3))) (+.f64 1/16 (-.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x))) (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x)))) (.f64 1/4 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x)))))))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) -1) (cbrt.f64 (-.f64 -1/2 (.f64 -1/2 (cos.f64 x)))))
(/.f64 1 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2))
(/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))
(/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)))
(/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))
(/.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 1/2 (.f64 1/2 (cos.f64 x))))
(/.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1)
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))))
(/.f64 -1 (/.f64 -1 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(/.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) -1)
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))) (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(/.f64 (sqrt.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (/.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))) (sqrt.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))))
(/.f64 (sqrt.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))))))
(/.f64 (sqrt.f64 (-.f64 -1/2 (.f64 -1/2 (cos.f64 x)))) (/.f64 -1 (sqrt.f64 (-.f64 -1/2 (.f64 -1/2 (cos.f64 x))))))
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(.f64 (cbrt.f64 (.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 2) (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(.f64 -1 (.f64 (/.f64 -8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(.f64 (-.f64 -1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 -8/3 (sin.f64 x)))
(.f64 (/.f64 -8/3 (sin.f64 x)) (-.f64 -1/2 (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(.f64 (.f64 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) (.f64 (/.f64 8/3 (sin.f64 x)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3)
(.f64 (.f64 8/3 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) (*.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) (.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(.f64 (.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) (.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2)) (/.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) (cbrt.f64 (.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(.f64 (/.f64 1 (/.f64 1 (.f64 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2)))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) 1) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(.f64 (/.f64 1 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (fma.f64 -1/2 (cos.f64 x) 1/2)))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (neg.f64 (sin.f64 x))) -8/3)
(.f64 (/.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) (sqrt.f64 -1)) (sqrt.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) -1) (cbrt.f64 (-.f64 -1/2 (.f64 -1/2 (cos.f64 x)))))
(.f64 (/.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1/2 (cos.f64 x) 1/2))
(.f64 (/.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (-.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x)))))
(.f64 (/.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (-.f64 1/16 (.f64 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x))) (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x)))))) (+.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (.f64 -1/4 (cos.f64 x))))
(.f64 (/.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/64 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x))) 3))) (+.f64 1/16 (-.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x))) (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x)))) (.f64 1/4 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))))
(pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))) -1)
(neg.f64 (*.f64 (/.f64 -8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(sqrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2))
(log.f64 (exp.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3))))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1)
(*.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 -1 (/.f64 -1 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 -1 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(.f64 (/.f64 1 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 1 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)) 1) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1))
(.f64 (/.f64 1 (neg.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (neg.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(.f64 (/.f64 1 (neg.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (neg.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))))
(.f64 (/.f64 1 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) 1/4)) (-.f64 (*.f64 -1/2 (cos.f64 x)) 1/2))
(.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))))
(.f64 (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))) (-.f64 1/16 (.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (+.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))))
(.f64 (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))) (-.f64 1/64 (pow.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1/16 (+.f64 (.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))))))
(.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))) (-.f64 1/64 (.f64 (.f64 (pow.f64 (cos.f64 x) 3) -1/8) (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))
(.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))) (+.f64 1/512 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 3) -1/8) 3))) (-.f64 (+.f64 1/64 (.f64 (.f64 (pow.f64 (cos.f64 x) 3) -1/8) (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))))
(pow.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)) 1/3)
(pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))

Outputs
(*.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)))))
(/.f64 8/3 x)
(+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x)))
(fma.f64 4/9 x (/.f64 8/3 x))
(+.f64 (.f64 4/9 x) (+.f64 (.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))
(fma.f64 4/9 x (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x)))
(+.f64 (.f64 4/9 x) (+.f64 (.f64 31/5670 (pow.f64 x 5)) (+.f64 (.f64 7/135 (pow.f64 x 3)) (.f64 8/3 (/.f64 1 x)))))
(fma.f64 4/9 x (fma.f64 31/5670 (pow.f64 x 5) (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x))))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(+.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 (pow.f64 x 5) 1/180)))
(+.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 (pow.f64 x 5) 1/180))))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
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(.f64 (+.f64 1/16 (.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (+.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))) (-.f64 1/64 (.f64 1/64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)))))
(.f64 (+.f64 1/16 (.f64 1/16 (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (+.f64 (cos.f64 x) 1) 1/2) (+.f64 1/64 (.f64 -1/64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)))))
(.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))) (-.f64 1/64 (.f64 (.f64 (pow.f64 (cos.f64 x) 3) -1/8) (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))
(.f64 (-.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (.f64 1/4 (cos.f64 x)))) (-.f64 1/64 (.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) 1/64))))
(.f64 (+.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1/4 (.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 1/64 (.f64 (pow.f64 (cos.f64 x) 6) -1/64))))
(.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))) (+.f64 1/512 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 3) -1/8) 3))) (-.f64 (+.f64 1/64 (.f64 (.f64 (pow.f64 (cos.f64 x) 3) -1/8) (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))))
(.f64 (+.f64 1/64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) 1/64) (.f64 (.f64 1/8 (pow.f64 (cos.f64 x) 3)) -1/8))) (/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (.f64 1/4 (cos.f64 x)))) (+.f64 1/512 (*.f64 (pow.f64 (pow.f64 (cos.f64 x) 3) 3) -1/512))))
(.f64 (+.f64 1/64 (-.f64 (.f64 1/64 (pow.f64 (cos.f64 x) 6)) (.f64 (pow.f64 (cos.f64 x) 3) -1/64))) (/.f64 (+.f64 1/4 (.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 1/512 (*.f64 (pow.f64 (pow.f64 (cos.f64 x) 3) 3) -1/512))))
(pow.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1)
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) 2)
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 3)
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)))
(pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1)
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))))
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1))
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1))
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.32%	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (.f64 x 1/2))))
✓	0.33%	(/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (*.f64 x 1/2)))
✓	0.51%	(/.f64 (sin.f64 x) 8/3)

Compiler

Compiled 40 to 27 computations (32.5% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite95.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1138×	`associate-/r/`
858×	`swap-sqr`
834×	`unswap-sqr`
766×	`associate-/l/`
376×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	81
1	259	71
2	3385	71

Stop Event

1×	node limit

Counts

3 → 233

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 3/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/8 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) -3/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) -3/8)) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/8)) (cbrt.f64 (*.f64 (sin.f64 x) -3/8))) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sin.f64 x) -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/8 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 8/3) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 8/3 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) -3/8))) (sqrt.f64 (*.f64 (sin.f64 x) -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/8)) (cbrt.f64 (*.f64 (sin.f64 x) -3/8)))) (cbrt.f64 (*.f64 (sin.f64 x) -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 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(sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) 3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)))) (#(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 pow.f64 (/.f64 8/3 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) -3/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 3/8 (/.f64 1 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 3/8) (/.f64 1 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 3/8) (neg.f64 (/.f64 -1 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 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pow.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 -8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (neg.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))))))))

simplify134.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1050×	`associate-/r*`
1028×	`times-frac`
1026×	`associate-r`
872×	`*-commutative`
812×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	572	8735
1	1618	8497
2	7690	8497

Stop Event

1×	node limit

Counts

269 → 309

Calls

Call 1

Inputs
(*.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))
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 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 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)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(*.f64 (sin.f64 x) 3/8)
(.f64 (.f64 (sin.f64 x) 3/8) 1)
(.f64 1 (.f64 (sin.f64 x) 3/8))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) 3/8))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) 3/8))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) 2) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))))
(*.f64 3/8 (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) -3/8)
(.f64 (sqrt.f64 (.f64 (sin.f64 x) -3/8)) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) -3/8))))
(.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 x) -3/8)) (cbrt.f64 (.f64 (sin.f64 x) -3/8))) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/8))))
(.f64 -1 (.f64 (sin.f64 x) -3/8))
(.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) 2)) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 -3/8 (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 8/3) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 8/3 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3) (cbrt.f64 (sin.f64 x)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 x) -3/8))) (sqrt.f64 (*.f64 (sin.f64 x) -3/8)))
(.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 x) -3/8)) (cbrt.f64 (.f64 (sin.f64 x) -3/8)))) (cbrt.f64 (*.f64 (sin.f64 x) -3/8)))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) 2))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8))) (cbrt.f64 (.f64 (sin.f64 x) 3/8))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8))) (cbrt.f64 (.f64 (sin.f64 x) 3/8))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) 2))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)))) (.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))))
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(pow.f64 (/.f64 8/3 (sin.f64 x)) -1)
(neg.f64 (*.f64 (sin.f64 x) -3/8))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) -3/8) 1))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) 3/8)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8))) 1)
(.f64 (sin.f64 x) (.f64 3/8 (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 x) (/.f64 1 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (sin.f64 x) 3/8) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 (sin.f64 x) 3/8) (neg.f64 (/.f64 -1 (sin.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 1)
(.f64 1 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))
(.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8)) (sqrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8)) (neg.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8)) (.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8)) (/.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8)) (sin.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8)) (pow.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8)) 2) (cbrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8)) 2) (neg.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) 3/8))
(.f64 (.f64 (sin.f64 x) -3/8) (/.f64 -1 (sin.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) -8/3))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 x 1/2)) -8/3)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) -8/3))) (cbrt.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) -8/3)))) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) -8/3)))))
(.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8)
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 x) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 8/3)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (/.f64 (.f64 (sin.f64 x) 3/8) (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 x 1/2)) -8/3)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8))) (neg.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8)) 2)) (neg.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(.f64 (/.f64 -1 (sin.f64 (.f64 x 1/2))) (*.f64 (sin.f64 x) -3/8))
(.f64 (/.f64 1 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8)) (sin.f64 (.f64 x 1/2))) (sqrt.f64 (.f64 (sin.f64 x) 3/8)))
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(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (neg.f64 (sin.f64 x))) -8/3)
(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) -1) (/.f64 -8/3 (sin.f64 x)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)) (/.f64 1 (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)) -1) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (sqrt.f64 (.f64 (sin.f64 x) 3/8))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (/.f64 8/3 (sin.f64 x)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (.f64 (sin.f64 x) -3/8)) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (.f64 (sin.f64 x) (/.f64 1 (sin.f64 (.f64 x 1/2))))) 8/3)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (.f64 x 1/2))))) -8/3)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (sin.f64 x) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 8/3))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (.f64 (sin.f64 x) 3/8) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8))) 1) (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8))) (sqrt.f64 (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8))) (sqrt.f64 (.f64 (sin.f64 x) -3/8))) (sqrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8)) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8)) 2)) (cbrt.f64 (.f64 (sin.f64 x) 3/8))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 3/8)) 2)) (cbrt.f64 (.f64 (sin.f64 x) -3/8))) (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (.f64 (sin.f64 x) 3/8)))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)))) (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)))) (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)))) (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)))) (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))))) (.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))))))
(pow.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 8/3)) -1)
(neg.f64 (neg.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))))
(neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 -8/3 (sin.f64 x)))))
(neg.f64 (.f64 (neg.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))) 1))
(neg.f64 (.f64 1 (neg.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))))
(exp.f64 (log.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))))

Outputs
(*.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))))
(fma.f64 1/320 (pow.f64 x 5) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 3/8 x (*.f64 -1/13440 (pow.f64 x 7)))))
(*.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))
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 3/4 (.f64 -3/32 (.f64 x x)))
(fma.f64 -3/32 (*.f64 x x) 3/4)
(+.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))))
(fma.f64 1/512 (pow.f64 x 4) (fma.f64 -3/32 (*.f64 x x) 3/4))
(+.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)))))
(fma.f64 -1/61440 (pow.f64 x 6) (fma.f64 1/512 (pow.f64 x 4) (fma.f64 -3/32 (*.f64 x x) 3/4)))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.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 (pow.f64 x 3) 1/18 (*.f64 x 2/3))
(+.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 (pow.f64 x 5) 1/180)))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 x 2/3)))
(+.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 (pow.f64 x 5) 1/180))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 7) 17/30240 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 x 2/3))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(*.f64 3/8 (sin.f64 x))
(*.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 1 (.f64 (sin.f64 x) 3/8))
(*.f64 3/8 (sin.f64 x))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) 3/8))
(*.f64 3/8 (sin.f64 x))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 3/8 (sin.f64 x))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))))
(*.f64 3/8 (sin.f64 x))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) 3/8))
(*.f64 3/8 (sin.f64 x))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))
(*.f64 3/8 (sin.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) 2) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 3/8 (sin.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/8)) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
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(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (/.f64 (sin.f64 x) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 8/3)) -1)
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(neg.f64 (neg.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 -8/3 (sin.f64 x)))))
(neg.f64 (.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) (neg.f64 (/.f64 -8/3 (sin.f64 x))))
(neg.f64 (.f64 (neg.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))) 1))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(neg.f64 (.f64 1 (neg.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)))))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 3/8 (sin.f64 x))) 2))
(fabs.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(log.f64 (exp.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)))))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)) 3))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (/.f64 27/512 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(exp.f64 (log.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))) 1))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))

eval749.0ms (7.6%)

Compiler: Compiled 31318 to 22456 computations (28.3% saved)

prune328.0ms (3.3%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	1382	6	1388
Fresh	5	7	12
Picked	0	1	1
Done	0	4	4
Total	1387	18	1405

Error

Counts

1405 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.39%	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
	0.83%	(/.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3/8) (/.f64 1 (sin.f64 (.f64 x 1/2))))
	46.01%	(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
✓	46.12%	(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
▶	67.67%	(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
▶	46.25%	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
	46.02%	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
✓	46.18%	(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
✓	0.74%	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (.f64 x 1/2))))
▶	0.44%	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
	0.83%	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x)))
	46.41%	(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
▶	94.91%	(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
	24.55%	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
	46.08%	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
✓	0.48%	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
	0.57%	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
✓	50.62%	(*.f64 x 2/3)

Compiler

Compiled 358 to 293 computations (18.2% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.21%	(/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)
✓	0.24%	(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
✓	0.32%	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))

Compiler

Compiled 42 to 30 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite92.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1222×	`associate-/r/`
904×	`swap-sqr`
846×	`unswap-sqr`
614×	`associate-/l/`
384×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	70
1	260	60
2	3469	60

Stop Event

1×	node limit

Counts

2 → 195

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))) 2) (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)) (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 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1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))))))

simplify120.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

902×	`distribute-rgt-in`
896×	`distribute-lft-in`
836×	`*-commutative`
682×	`associate-r`
596×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	508	8839
1	1468	8511
2	5501	8511

Stop Event

1×	node limit

Counts

219 → 278

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 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 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 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)) 1)
(.f64 1 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)))
(.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8))))
(.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))) 2) (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8))))
(.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 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) -3/8)))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 8/3)
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (sin.f64 x)) 3/8)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (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)) -8/3))
(.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) -8/3)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 1) (.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) 1) (.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(.f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sqrt.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2)) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (sin.f64 x)) (.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 3/8) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 3/8))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) -3/8)) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) -1) (/.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) 1)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9)))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(.f64 (/.f64 1 (/.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) -3/8) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 3/8 (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 3/8 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) 8/3)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 1 (sqrt.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))))) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 1 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9)))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) -1) (.f64 (sin.f64 (.f64 x 1/2)) -8/3))
(.f64 (/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) -1) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)))
(.f64 (/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) -8/3))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1) 3/8) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1) 1) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1) -3/8) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1) (/.f64 3/8 (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1) (/.f64 3/8 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1) (/.f64 1 (sin.f64 (.f64 x 1/2)))) 8/3)
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1) (.f64 1 (sqrt.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))))) (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1) (/.f64 1 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9)))) (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1) -1) (.f64 (sin.f64 (*.f64 x 1/2)) -8/3))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) 1) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (sin.f64 x)) 3/8)))
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(.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 3/8))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 -3/8))
(.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (.f64 x 1/2)))))) (sqrt.f64 (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (*.f64 x 1/2))))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (.f64 x 1/2))))))) (cbrt.f64 (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (.f64 x 1/2))))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))) (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2))) (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))) (.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))))
(.f64 (.f64 (sqrt.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 x))) (.f64 (sqrt.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 x))))
(pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) 1)
(pow.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2)
(pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)) -1)
(neg.f64 (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (.f64 x 1/2)))))
(neg.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (.f64 x 1/2)))) 1))
(sqrt.f64 (pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3)))
(expm1.f64 (log1p.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(exp.f64 (log.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(exp.f64 (.f64 (log.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1))
(log1p.f64 (expm1.f64 (.f64 3/8 (/.f64 (sin.f64 x) (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))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.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))))
(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 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 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.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)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.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)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.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)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.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)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.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)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.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)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.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)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.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)))
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 3/4 (.f64 -3/32 (.f64 x x)))
(fma.f64 -3/32 (*.f64 x x) 3/4)
(+.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))))
(fma.f64 1/512 (pow.f64 x 4) (fma.f64 -3/32 (*.f64 x x) 3/4))
(+.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)))))
(fma.f64 -1/61440 (pow.f64 x 6) (fma.f64 1/512 (pow.f64 x 4) (fma.f64 -3/32 (*.f64 x x) 3/4)))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8)))) 1)
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)))
(.f64 8/3 (/.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)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 8/3 (/.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)))
(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)) 1)
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8))
(.f64 1 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8))
(.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8))))
(.f64 8/3 (/.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)))
(.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))) 2))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))) 2) (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))))
(/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) 3/8))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8))))
(.f64 8/3 (/.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)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
(.f64 8/3 (/.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)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)) (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (/.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)))
(.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) -3/8)))
(.f64 8/3 (/.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)))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sin.f64 (.f64 x 1/2))) 8/3)
(.f64 8/3 (/.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)))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 1) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(.f64 8/3 (/.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)))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(.f64 8/3 (/.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)))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (/.f64 (sin.f64 x) (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))))
(.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 64/9))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 64/9)) (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)))
(.f64 8/3 (/.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)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (sin.f64 x)) 3/8)))
(.f64 8/3 (/.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)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (cbrt.f64 (sin.f64 x))))
(.f64 8/3 (/.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)))
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(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) -1) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2))) (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) (*.f64 (sqrt.f64 (sin.f64 x)) 3/8))) (sqrt.f64 (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (cbrt.f64 (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 3/8 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 3/8 (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 3/8))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (/.f64 3/8 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (/.f64 3/8 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (sin.f64 (.f64 x 1/2)))) -3/8)
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) -1) (/.f64 -3/8 (sin.f64 (.f64 x 1/2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) 1) (sqrt.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 x) (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 x) (sqrt.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 3/8))
(.f64 (/.f64 (sin.f64 x) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))) (sqrt.f64 3/8))
(.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 3/8))
(.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))) (sqrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 -3/8))
(.f64 (/.f64 (sin.f64 x) (.f64 (sqrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))) (sqrt.f64 -3/8))
(/.f64 (/.f64 (.f64 (sin.f64 x) (sqrt.f64 -3/8)) (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 x) (.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x 1/2)))))) (sqrt.f64 -3/8))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))) 1) (cbrt.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 x) (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 x) (cbrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 64/9))) (cbrt.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 3/8))
(.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))) (cbrt.f64 3/8))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 64/9))) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 3/8)))
(.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 64/9)))) (cbrt.f64 3/8))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 -3/8))
(.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))) (cbrt.f64 -3/8))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 64/9))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 -3/8))
(.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (.f64 x 1/2)))))) (sqrt.f64 (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (*.f64 x 1/2))))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (.f64 x 1/2))))))) (cbrt.f64 (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (.f64 x 1/2))))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))) (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2))) (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 2))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))))
(.f64 (.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))) (.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))))
(.f64 (.f64 (sqrt.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 x))) (.f64 (sqrt.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 x))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) 1)
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(pow.f64 (sqrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 2)
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(pow.f64 (cbrt.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) 3)
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(pow.f64 (pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) 3) 1/3)
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)) -1)
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(neg.f64 (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(neg.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 -3/8 (sin.f64 (.f64 x 1/2)))) 1))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(sqrt.f64 (pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) 2))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) 2))
(fabs.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(cbrt.f64 (pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) 3))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) 512/27)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3) 512/27))
(expm1.f64 (log1p.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(exp.f64 (log.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))
(log1p.f64 (expm1.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))
(.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.55%	(*.f64 x 2/3)
✓	3.8%	(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
0.0ms	x	@	0	(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1642×	`add-sqr-sqrt`
1618×	`*-un-lft-identity`
1524×	`add-cube-cbrt`
1514×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	179	7
2	2314	7

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x 2/3 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 2/3 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x 2/3 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 2/3)) (*.f64 (sqrt.f64 (*.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (*.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x 2/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 x 2/3) 2) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (+.f64 (*.f64 x 2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (-.f64 (fma.f64 x 2/3 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (-.f64 1 (*.f64 (fma.f64 x 2/3 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 8/27) 0) (+.f64 (*.f64 (*.f64 x x) 4/9) (-.f64 0 (*.f64 (*.f64 x 2/3) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 2/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2/3 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 2/3 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 1)) -1)))))

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1296×	`associate--l+`
1188×	`times-frac`
888×	`distribute-lft-neg-in`
714×	`associate-+r-`
556×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	118	911
1	266	851
2	891	851
3	4867	851

Stop Event

1×	node limit

Counts

63 → 59

Calls

Call 1

Inputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(+.f64 (*.f64 x 2/3) 0)
(+.f64 1 (fma.f64 x 2/3 -1))
(+.f64 (fma.f64 x 2/3 1) -1)
(+.f64 0 (*.f64 x 2/3))
(+.f64 -1 (fma.f64 x 2/3 1))
(*.f64 x 2/3)
(*.f64 2/3 x)
(.f64 (.f64 x 2/3) 1)
(.f64 1 (.f64 x 2/3))
(.f64 (sqrt.f64 (.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(.f64 (sqrt.f64 (.f64 x 2/3)) (.f64 (sqrt.f64 (.f64 x 2/3)) 1))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2/3))
(.f64 (cbrt.f64 (.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) (.f64 (cbrt.f64 (.f64 x 2/3)) 1))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2/3))
(.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (/.f64 1 (+.f64 (.f64 x 2/3) 2)))
(.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (.f64 x 2/3) 2))))
(.f64 (.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 2/3) 2) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (+.f64 (*.f64 x 2/3) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (-.f64 (fma.f64 x 2/3 1) -1))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (-.f64 1 (*.f64 (fma.f64 x 2/3 1) -1))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8/27) 0) (+.f64 (.f64 (.f64 x x) 4/9) (-.f64 0 (.f64 (*.f64 x 2/3) 0))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 2/3) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))))
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 8/27) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 4/9))
(log.f64 (exp.f64 (*.f64 x 2/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(exp.f64 (.f64 (log.f64 (.f64 x 2/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(fma.f64 x 2/3 0)
(fma.f64 2/3 x 0)
(fma.f64 1 (*.f64 x 2/3) 0)
(fma.f64 1 (fma.f64 x 2/3 1) -1)
(fma.f64 (sqrt.f64 (.f64 x 2/3)) (sqrt.f64 (.f64 x 2/3)) 0)
(fma.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) (cbrt.f64 (.f64 x 2/3)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 1)) -1)

Outputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(+.f64 (*.f64 x 2/3) 0)
(*.f64 2/3 x)
(+.f64 1 (fma.f64 x 2/3 -1))
(*.f64 2/3 x)
(+.f64 (fma.f64 x 2/3 1) -1)
(*.f64 2/3 x)
(+.f64 0 (*.f64 x 2/3))
(*.f64 2/3 x)
(+.f64 -1 (fma.f64 x 2/3 1))
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 2/3 x)
(.f64 (.f64 x 2/3) 1)
(*.f64 2/3 x)
(.f64 1 (.f64 x 2/3))
(*.f64 2/3 x)
(.f64 (sqrt.f64 (.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(.f64 (sqrt.f64 (.f64 x 2/3)) (.f64 (sqrt.f64 (.f64 x 2/3)) 1))
(*.f64 2/3 x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2/3))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(*.f64 2/3 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) (.f64 (cbrt.f64 (.f64 x 2/3)) 1))
(*.f64 2/3 x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2/3))
(*.f64 2/3 x)
(.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (/.f64 1 (+.f64 (.f64 x 2/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2))
(/.f64 (.f64 (.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2))
(.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (.f64 x 2/3) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2))))
(.f64 (.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 2/3 x)
(.f64 (.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 2/3 x)
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1))
(*.f64 2/3 x)
(/.f64 1 (/.f64 (+.f64 (*.f64 x 2/3) 2) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2))
(/.f64 (.f64 (.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (+.f64 (*.f64 x 2/3) 2))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2))
(/.f64 (.f64 (.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (-.f64 (fma.f64 x 2/3 1) -1))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2))
(/.f64 (.f64 (.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (-.f64 1 (*.f64 (fma.f64 x 2/3 1) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(*.f64 2/3 x)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8/27) 0) (+.f64 (.f64 (.f64 x x) 4/9) (-.f64 0 (.f64 (*.f64 x 2/3) 0))))
(*.f64 2/3 x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 2/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2))
(/.f64 (.f64 (.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2))))
(pow.f64 (*.f64 x 2/3) 1)
(*.f64 2/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 2/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(*.f64 2/3 x)
(pow.f64 (*.f64 (pow.f64 x 3) 8/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))
(sqrt.f64 (.f64 (.f64 x x) 4/9))
(sqrt.f64 (.f64 x (.f64 x 4/9)))
(log.f64 (exp.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))
(*.f64 2/3 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (log.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (.f64 (log.f64 (.f64 x 2/3)) 1))
(*.f64 2/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(fma.f64 x 2/3 0)
(*.f64 2/3 x)
(fma.f64 2/3 x 0)
(*.f64 2/3 x)
(fma.f64 1 (*.f64 x 2/3) 0)
(*.f64 2/3 x)
(fma.f64 1 (fma.f64 x 2/3 1) -1)
(*.f64 2/3 x)
(fma.f64 (sqrt.f64 (.f64 x 2/3)) (sqrt.f64 (.f64 x 2/3)) 0)
(*.f64 2/3 x)
(fma.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)) -1)
(*.f64 2/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) (cbrt.f64 (.f64 x 2/3)) 0)
(*.f64 2/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 1)) -1)
(*.f64 2/3 x)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.03%	(+.f64 1/3 (/.f64 (/.f64 4 x) x))
✓	0.19%	(/.f64 (/.f64 4 x) x)
	0.56%	(/.f64 8/3 (sin.f64 x))
✓	24.75%	(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))

Compiler

Compiled 38 to 25 computations (34.2% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
0.0ms	x	@	-inf	(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
0.0ms	x	@	0	(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
0.0ms	x	@	0	(/.f64 (/.f64 4 x) x)
0.0ms	x	@	inf	(/.f64 (/.f64 4 x) x)

rewrite91.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1806×	`associate-/l*`
1034×	`associate-/r/`
938×	`associate-/l/`
504×	`distribute-lft-in`
296×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	298	67
2	4035	67

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

Inputs
(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
(/.f64 (/.f64 4 x) x)
(+.f64 1/3 (/.f64 (/.f64 4 x) x))

Outputs

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(exp.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 4/3 (/.f64 4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 x) (/.f64 1 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 4 (*.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 x) (/.f64 2 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) 2) (cbrt.f64 (/.f64 4 (*.f64 x x))) 1/3)))))

simplify114.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

604×	`*-commutative`
596×	`+-commutative`
574×	`associate-*r/`
560×	`associate-/r*`
514×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	486	7939
1	1406	7775
2	5580	7775

Stop Event

1×	node limit

Counts

205 → 262

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 1/120 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 61/90720 (pow.f64 x 7)) (.f64 1/120 (pow.f64 x 5)))))
(/.f64 8 (sin.f64 x))
(-.f64 (.f64 8 (/.f64 1 (sin.f64 x))) (.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (sin.f64 x))) (.f64 1152 (/.f64 1 (.f64 (sin.f64 x) (pow.f64 x 4))))) (.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (sin.f64 x))) (.f64 1152 (/.f64 1 (.f64 (sin.f64 x) (pow.f64 x 4))))) (+.f64 (.f64 96 (/.f64 1 (.f64 (sin.f64 x) (pow.f64 x 2)))) (.f64 13824 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 6))))))
(/.f64 8 (sin.f64 x))
(-.f64 (.f64 8 (/.f64 1 (sin.f64 x))) (.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (sin.f64 x))) (.f64 1152 (/.f64 1 (.f64 (sin.f64 x) (pow.f64 x 4))))) (.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (sin.f64 x))) (.f64 1152 (/.f64 1 (.f64 (sin.f64 x) (pow.f64 x 4))))) (+.f64 (.f64 96 (/.f64 1 (.f64 (sin.f64 x) (pow.f64 x 2)))) (.f64 13824 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 6))))))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
1/3
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
1/3
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) 1/3) (.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) (neg.f64 (/.f64 4 (*.f64 x x)))))
(+.f64 (.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) 1/3) (.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) (*.f64 (/.f64 -4 x) (/.f64 1 x))))
(+.f64 (.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) 1/3) (.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) (.f64 -1 (/.f64 4 (.f64 x x)))))
(+.f64 (.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) 1/3) (.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) (*.f64 (neg.f64 (/.f64 2 x)) (/.f64 2 x))))
(+.f64 (.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) 1/3) (.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 x x))) 2)) (cbrt.f64 (/.f64 4 (*.f64 x x))))))
(+.f64 (.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3)))) 1/9) (.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3)))) (-.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (/.f64 4/3 (.f64 x x)))))
(+.f64 (.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3)))) (-.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (/.f64 4/3 (.f64 x x)))) (.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3)))) 1/9))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (.f64 x x))) (sin.f64 x))))) 1)
(.f64 8/3 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 -1 (-.f64 -1/3 (/.f64 4 (*.f64 x x))))))
(.f64 8/3 (/.f64 1 (.f64 (sin.f64 x) (+.f64 1/3 (/.f64 4 (*.f64 x x))))))
(.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 -1 (-.f64 -1/3 (/.f64 4 (.f64 x x)))))
(.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x))) 1)
(.f64 1 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x))))
(.f64 (sqrt.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (.f64 x x))) (sin.f64 x)))) (sqrt.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x)))))
(.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (+.f64 1/3 (/.f64 4 (.f64 x x)))))
(.f64 (cbrt.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (.f64 x x))) (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (.f64 x x))) (sin.f64 x)))) 2) (cbrt.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (/.f64 -1 (-.f64 -1/3 (/.f64 4 (*.f64 x x))))))
(.f64 (/.f64 -1 (-.f64 -1/3 (/.f64 4 (.f64 x x)))) (/.f64 8/3 (sin.f64 x)))
(.f64 (/.f64 -8/3 (sin.f64 x)) (/.f64 1 (-.f64 -1/3 (/.f64 4 (.f64 x x)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x))))) (/.f64 8/3 (.f64 (sqrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) (sin.f64 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) 2)) (/.f64 8/3 (.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) (sin.f64 x))))
(.f64 (/.f64 8/3 (+.f64 1/3 (/.f64 4 (.f64 x x)))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 1 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/3 (/.f64 4 (.f64 x x)))))
(.f64 (/.f64 1 (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3)))) (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x))))))
(.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) (-.f64 1/3 (/.f64 4 (*.f64 x x))))
(.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3)))) (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (.f64 x x)))))
(.f64 (/.f64 1 (-.f64 -1/3 (/.f64 4 (.f64 x x)))) (/.f64 -8/3 (sin.f64 x)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (+.f64 1/3 (/.f64 4 (*.f64 x x))))) 8/3)
(.f64 (/.f64 8/3 (sqrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x))))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) (sin.f64 x))))
(.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) 2)) (/.f64 1 (.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (+.f64 1/3 (/.f64 4 (.f64 x x)))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) 2)) (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (+.f64 1/3 (/.f64 4 (.f64 x x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (sqrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x))))) (/.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) 2)) (cbrt.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (.f64 x x))) (sin.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (+.f64 1/3 (/.f64 4 (.f64 x x)))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (neg.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2)))) (neg.f64 (-.f64 1/3 (/.f64 4 (*.f64 x x)))))
(.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (neg.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3))))) (neg.f64 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (.f64 x x))))))
(.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) 1/9)) (-.f64 (/.f64 4 (*.f64 x x)) 1/3))
(.f64 (/.f64 1 (/.f64 (+.f64 1/3 (/.f64 4 (.f64 x x))) 8/3)) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 1 (/.f64 (+.f64 1/3 (/.f64 4 (.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(.f64 (/.f64 (/.f64 -1 (-.f64 -1/3 (/.f64 4 (.f64 x x)))) (sin.f64 x)) 8/3)
(.f64 (/.f64 (/.f64 -1 (-.f64 -1/3 (/.f64 4 (.f64 x x)))) 1) (/.f64 8/3 (sin.f64 x)))
(.f64 (/.f64 (/.f64 -1 (-.f64 -1/3 (/.f64 4 (.f64 x x)))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (/.f64 -1 (-.f64 -1/3 (/.f64 4 (.f64 x x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (/.f64 -1 (-.f64 -1/3 (/.f64 4 (.f64 x x)))) (neg.f64 (sin.f64 x))) -8/3)
(.f64 (/.f64 (/.f64 -8/3 (sin.f64 x)) (neg.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2)))) (-.f64 1/3 (/.f64 4 (*.f64 x x))))
(.f64 (/.f64 (/.f64 -8/3 (sin.f64 x)) (neg.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3))))) (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (.f64 x x)))))
(.f64 (/.f64 (/.f64 8/3 (.f64 (sqrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) (sin.f64 x))) (sqrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2)))) (sqrt.f64 (-.f64 1/3 (/.f64 4 (*.f64 x x)))))
(.f64 (/.f64 (/.f64 8/3 (.f64 (sqrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) (sin.f64 x))) (sqrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (.f64 x x))))))
(.f64 (/.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) 2)) (cbrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2)))) (cbrt.f64 (-.f64 1/3 (/.f64 4 (.f64 x x)))))
(.f64 (/.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) 2)) (cbrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x))))))
(pow.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (.f64 x x))) (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (.f64 x x))) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (.f64 x x))) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (.f64 x x))) (sin.f64 x))) 3) 1/3)
(pow.f64 (.f64 (+.f64 1/3 (/.f64 4 (.f64 x x))) (*.f64 (sin.f64 x) 3/8)) -1)
(neg.f64 (/.f64 8/3 (.f64 (-.f64 -1/3 (/.f64 4 (.f64 x x))) (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (.f64 x x))) (sin.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (.f64 x x))) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (.f64 x x))) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (.f64 x x))) (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (.f64 x x))) (sin.f64 x)))))
(exp.f64 (log.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (.f64 x x))) (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (*.f64 x x))) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 -8/3 (.f64 (-.f64 -1/3 (/.f64 4 (.f64 x x))) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 x x)))) 1)
(.f64 4 (.f64 (/.f64 1 x) (/.f64 1 x)))
(.f64 4 (/.f64 1 (.f64 x x)))
(*.f64 (/.f64 4 x) (/.f64 1 x))
(.f64 (/.f64 4 (.f64 x x)) 1)
(.f64 1 (/.f64 4 (.f64 x x)))
(*.f64 (/.f64 2 x) (/.f64 2 x))
(.f64 (sqrt.f64 (/.f64 4 x)) (.f64 (sqrt.f64 (/.f64 4 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 4 x)) (/.f64 (sqrt.f64 (/.f64 4 x)) x))
(.f64 (cbrt.f64 (/.f64 4 (.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 x x))) 2) (cbrt.f64 (/.f64 4 (*.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 x)) 2) (.f64 (cbrt.f64 (/.f64 4 x)) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (/.f64 4 x))
(*.f64 (/.f64 -4 x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 4 x) (sqrt.f64 x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 4 (.f64 (cbrt.f64 x) x)))
(.f64 (/.f64 4 (sqrt.f64 x)) (/.f64 1 (.f64 (sqrt.f64 x) x)))
(.f64 (/.f64 4 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (.f64 (cbrt.f64 x) x)))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 -4 x))
(.f64 (/.f64 1 (.f64 x x)) 4)
(.f64 (/.f64 1 (.f64 (sqrt.f64 x) x)) (/.f64 4 (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 4 x)) x) (sqrt.f64 (/.f64 4 x)))
(.f64 (/.f64 2 (.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x))) (/.f64 (sqrt.f64 (/.f64 4 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 4 x)) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 4 (.f64 x x))))
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 4 x))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 4 (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 x)) 2) x) (cbrt.f64 (/.f64 4 x)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 4 x)) 2))) (cbrt.f64 (/.f64 4 x)))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -4)
(pow.f64 (/.f64 4 (*.f64 x x)) 1)
(pow.f64 (/.f64 2 x) 2)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) 3)
(pow.f64 (.f64 x (.f64 x 1/4)) -1)
(pow.f64 (/.f64 64 (pow.f64 (*.f64 x x) 3)) 1/3)
(neg.f64 (/.f64 4 (*.f64 (neg.f64 x) x)))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 4 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 x x)))))
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 x x))))
(exp.f64 (*.f64 2 (log.f64 (/.f64 2 x))))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 x x))))
(-.f64 (exp.f64 (log.f64 (+.f64 4/3 (/.f64 4 (*.f64 x x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 x x)))) 2/3)
(-.f64 (/.f64 1/9 (-.f64 1/3 (/.f64 4 (.f64 x x)))) (/.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/3 (/.f64 4 (*.f64 x x)))))
(-.f64 (+.f64 1/3 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 x x))))) 1)
(.f64 (+.f64 1/3 (/.f64 4 (.f64 x x))) 1)
(.f64 1 (+.f64 1/3 (/.f64 4 (.f64 x x))))
(.f64 (sqrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) (sqrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))))
(.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) 2) (cbrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))))
(.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2)) (/.f64 1 (-.f64 1/3 (/.f64 4 (*.f64 x x)))))
(.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (.f64 x x))))))
(.f64 (/.f64 1 (-.f64 1/3 (/.f64 4 (.f64 x x)))) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (.f64 x x))))) (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3))))
(.f64 (/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2)) (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) (+.f64 1/3 (/.f64 4 (.f64 x x))))
(.f64 (/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2)) (-.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3)))) (+.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (/.f64 4/3 (*.f64 x x)))))
(.f64 (/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3))) (-.f64 1/81 (.f64 (-.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (/.f64 4/3 (.f64 x x))) (-.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (/.f64 4/3 (.f64 x x)))))) (-.f64 1/9 (-.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (/.f64 4/3 (*.f64 x x)))))
(.f64 (/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3))) (+.f64 1/729 (pow.f64 (-.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (/.f64 4/3 (.f64 x x))) 3))) (-.f64 (+.f64 1/81 (.f64 (-.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (/.f64 4/3 (.f64 x x))) (-.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (/.f64 4/3 (.f64 x x))))) (.f64 1/9 (-.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (/.f64 4/3 (.f64 x x))))))
(/.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 1)
(/.f64 1 (/.f64 -1 (-.f64 -1/3 (/.f64 4 (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) (/.f64 1 (sqrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x))))))
(/.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 1/3 (/.f64 4 (.f64 x x))))))
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2)) (-.f64 1/3 (/.f64 4 (.f64 x x))))
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2)) (/.f64 1 (/.f64 1 (-.f64 1/3 (/.f64 4 (.f64 x x))))))
(/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3))) (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x)))))
(/.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3))) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x)))))))
(/.f64 (sqrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) (/.f64 (-.f64 1/3 (/.f64 4 (.f64 x x))) (sqrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)))))
(/.f64 (sqrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (.f64 x x)))) (sqrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) (cbrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2)))) (/.f64 (-.f64 1/3 (/.f64 4 (.f64 x x))) (cbrt.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3)))) (cbrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3))))) (/.f64 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (.f64 x x)))) (cbrt.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3))))))
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) (neg.f64 (-.f64 1/3 (/.f64 4 (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) (.f64 1 (neg.f64 (-.f64 1/3 (/.f64 4 (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 1/27 (/.f64 64 (pow.f64 (.f64 x x) 3)))) (.f64 1 (neg.f64 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (.f64 x x)))))))
(/.f64 (-.f64 1/729 (.f64 (/.f64 64 (pow.f64 (.f64 x x) 3)) (/.f64 64 (pow.f64 (.f64 x x) 3)))) (.f64 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (.f64 x x)))) (-.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) 1/9) (-.f64 (/.f64 4 (.f64 x x)) 1/3))
(/.f64 (-.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) 1/9) (.f64 1 (-.f64 (/.f64 4 (*.f64 x x)) 1/3)))
(/.f64 (-.f64 1/81 (.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (pow.f64 (/.f64 4 (.f64 x x)) 2))) (.f64 (-.f64 1/3 (/.f64 4 (.f64 x x))) (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) 1/9)))
(/.f64 (+.f64 1/19683 (pow.f64 (/.f64 64 (pow.f64 (.f64 x x) 3)) 3)) (.f64 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (.f64 x x)))) (+.f64 1/729 (-.f64 (.f64 (/.f64 64 (pow.f64 (.f64 x x) 3)) (/.f64 64 (pow.f64 (.f64 x x) 3))) (.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))))))
(/.f64 (-.f64 1/729 (pow.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) 3)) (.f64 (-.f64 1/3 (/.f64 4 (.f64 x x))) (+.f64 1/81 (+.f64 (.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (pow.f64 (/.f64 4 (.f64 x x)) 2)) (.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))))))
(pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 1)
(pow.f64 (sqrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 2))
(log.f64 (exp.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 3))
(expm1.f64 (log.f64 (+.f64 4/3 (/.f64 4 (*.f64 x x)))))
(exp.f64 (log.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))))
(exp.f64 (.f64 (log.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))))
(fma.f64 (/.f64 4 x) (/.f64 1 x) 1/3)
(fma.f64 1 (/.f64 4 (*.f64 x x)) 1/3)
(fma.f64 (/.f64 2 x) (/.f64 2 x) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 x x))) 2) (cbrt.f64 (/.f64 4 (.f64 x x))) 1/3)

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 1/120 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/120 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 61/90720 (pow.f64 x 7)) (.f64 1/120 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 61/90720 (pow.f64 x 7) (*.f64 1/120 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/120 (pow.f64 x 5) (*.f64 61/90720 (pow.f64 x 7)))))
(/.f64 8 (sin.f64 x))
(-.f64 (.f64 8 (/.f64 1 (sin.f64 x))) (.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2)))))
(-.f64 (/.f64 8 (sin.f64 x)) (/.f64 96 (.f64 (sin.f64 x) (.f64 x x))))
(+.f64 (/.f64 8 (sin.f64 x)) (/.f64 -96 (.f64 (sin.f64 x) (.f64 x x))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (sin.f64 x))) (.f64 1152 (/.f64 1 (.f64 (sin.f64 x) (pow.f64 x 4))))) (.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2)))))
(+.f64 (/.f64 8 (sin.f64 x)) (-.f64 (/.f64 1152 (.f64 (sin.f64 x) (pow.f64 x 4))) (/.f64 96 (.f64 (sin.f64 x) (*.f64 x x)))))
(+.f64 (/.f64 1152 (.f64 (sin.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 8 (sin.f64 x)) (/.f64 -96 (.f64 (sin.f64 x) (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 8 (sin.f64 x)) (/.f64 -96 (.f64 (sin.f64 x) (.f64 x x)))) (/.f64 1152 (*.f64 (sin.f64 x) (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (sin.f64 x))) (.f64 1152 (/.f64 1 (.f64 (sin.f64 x) (pow.f64 x 4))))) (+.f64 (.f64 96 (/.f64 1 (.f64 (sin.f64 x) (pow.f64 x 2)))) (.f64 13824 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 6))))))
(+.f64 (/.f64 8 (sin.f64 x)) (-.f64 (/.f64 1152 (.f64 (sin.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 96 (.f64 (sin.f64 x) (.f64 x x))) (/.f64 13824 (.f64 (sin.f64 x) (pow.f64 x 6))))))
(+.f64 (/.f64 1152 (.f64 (sin.f64 x) (pow.f64 x 4))) (-.f64 (/.f64 8 (sin.f64 x)) (+.f64 (/.f64 96 (.f64 (sin.f64 x) (.f64 x x))) (/.f64 13824 (.f64 (sin.f64 x) (pow.f64 x 6))))))
(+.f64 (/.f64 1152 (.f64 (sin.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 8 (sin.f64 x)) (+.f64 (/.f64 -96 (.f64 (sin.f64 x) (.f64 x x))) (/.f64 -13824 (.f64 (sin.f64 x) (pow.f64 x 6))))))
(/.f64 8 (sin.f64 x))
(-.f64 (.f64 8 (/.f64 1 (sin.f64 x))) (.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2)))))
(-.f64 (/.f64 8 (sin.f64 x)) (/.f64 96 (.f64 (sin.f64 x) (.f64 x x))))
(+.f64 (/.f64 8 (sin.f64 x)) (/.f64 -96 (.f64 (sin.f64 x) (.f64 x x))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (sin.f64 x))) (.f64 1152 (/.f64 1 (.f64 (sin.f64 x) (pow.f64 x 4))))) (.f64 96 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 2)))))
(+.f64 (/.f64 8 (sin.f64 x)) (-.f64 (/.f64 1152 (.f64 (sin.f64 x) (pow.f64 x 4))) (/.f64 96 (.f64 (sin.f64 x) (*.f64 x x)))))
(+.f64 (/.f64 1152 (.f64 (sin.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 8 (sin.f64 x)) (/.f64 -96 (.f64 (sin.f64 x) (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 8 (sin.f64 x)) (/.f64 -96 (.f64 (sin.f64 x) (.f64 x x)))) (/.f64 1152 (*.f64 (sin.f64 x) (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (sin.f64 x))) (.f64 1152 (/.f64 1 (.f64 (sin.f64 x) (pow.f64 x 4))))) (+.f64 (.f64 96 (/.f64 1 (.f64 (sin.f64 x) (pow.f64 x 2)))) (.f64 13824 (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 x 6))))))
(+.f64 (/.f64 8 (sin.f64 x)) (-.f64 (/.f64 1152 (.f64 (sin.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 96 (.f64 (sin.f64 x) (.f64 x x))) (/.f64 13824 (.f64 (sin.f64 x) (pow.f64 x 6))))))
(+.f64 (/.f64 1152 (.f64 (sin.f64 x) (pow.f64 x 4))) (-.f64 (/.f64 8 (sin.f64 x)) (+.f64 (/.f64 96 (.f64 (sin.f64 x) (.f64 x x))) (/.f64 13824 (.f64 (sin.f64 x) (pow.f64 x 6))))))
(+.f64 (/.f64 1152 (.f64 (sin.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 8 (sin.f64 x)) (+.f64 (/.f64 -96 (.f64 (sin.f64 x) (.f64 x x))) (/.f64 -13824 (.f64 (sin.f64 x) (pow.f64 x 6))))))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
1/3
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
1/3
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(+.f64 (.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) 1/3) (.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))) (neg.f64 (/.f64 4 (*.f64 x x)))))
(/.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 -4 (.f64 x x)))) (-.f64 1/9 (pow.f64 (/.f64 4 (*.f64 x x)) 2)))
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(/.f64 (-.f64 1/729 (.f64 (/.f64 64 (pow.f64 x 6)) (/.f64 64 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (.f64 x x)))) (-.f64 1/27 (/.f64 64 (pow.f64 x 6)))))
(/.f64 (-.f64 1/729 (/.f64 (/.f64 4096 (pow.f64 x 6)) (pow.f64 x 6))) (.f64 (+.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x)))) (-.f64 1/27 (/.f64 64 (pow.f64 x 6)))))
(/.f64 (+.f64 1/729 (/.f64 (/.f64 -4096 (pow.f64 x 6)) (pow.f64 x 6))) (.f64 (+.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x)))) (-.f64 1/27 (/.f64 64 (pow.f64 x 6)))))
(/.f64 (-.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) 1/9) (-.f64 (/.f64 4 (.f64 x x)) 1/3))
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2)) (+.f64 1/3 (/.f64 -4 (.f64 x x))))
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2)) (-.f64 1/3 (/.f64 4 (.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) 1/9) (.f64 1 (-.f64 (/.f64 4 (*.f64 x x)) 1/3)))
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2)) (+.f64 1/3 (/.f64 -4 (.f64 x x))))
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2)) (-.f64 1/3 (/.f64 4 (.f64 x x))))
(/.f64 (-.f64 1/81 (.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (pow.f64 (/.f64 4 (.f64 x x)) 2))) (.f64 (-.f64 1/3 (/.f64 4 (.f64 x x))) (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) 1/9)))
(/.f64 (-.f64 1/81 (pow.f64 (/.f64 4 (.f64 x x)) 4)) (.f64 (+.f64 1/3 (/.f64 -4 (.f64 x x))) (+.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))))
(/.f64 (-.f64 1/81 (pow.f64 (/.f64 4 (.f64 x x)) 4)) (.f64 (-.f64 1/3 (/.f64 4 (.f64 x x))) (+.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))))
(/.f64 (+.f64 1/19683 (pow.f64 (/.f64 64 (pow.f64 (.f64 x x) 3)) 3)) (.f64 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (.f64 x x)))) (+.f64 1/729 (-.f64 (.f64 (/.f64 64 (pow.f64 (.f64 x x) 3)) (/.f64 64 (pow.f64 (.f64 x x) 3))) (.f64 1/27 (/.f64 64 (pow.f64 (*.f64 x x) 3)))))))
(/.f64 (+.f64 1/19683 (/.f64 262144 (pow.f64 (pow.f64 x 6) 3))) (.f64 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (-.f64 1/9 (/.f64 4/3 (.f64 x x)))) (+.f64 1/729 (.f64 (/.f64 64 (pow.f64 x 6)) (-.f64 (/.f64 64 (pow.f64 x 6)) 1/27)))))
(/.f64 (+.f64 1/19683 (/.f64 262144 (pow.f64 (pow.f64 x 6) 3))) (.f64 (+.f64 1/9 (+.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (/.f64 -4/3 (*.f64 x x)))) (fma.f64 (/.f64 64 (pow.f64 x 6)) (+.f64 (/.f64 64 (pow.f64 x 6)) -1/27) 1/729)))
(/.f64 (-.f64 1/729 (pow.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) 3)) (.f64 (-.f64 1/3 (/.f64 4 (.f64 x x))) (+.f64 1/81 (+.f64 (.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (pow.f64 (/.f64 4 (.f64 x x)) 2)) (.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))))))
(/.f64 (-.f64 1/729 (pow.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) 3)) (.f64 (+.f64 1/3 (/.f64 -4 (.f64 x x))) (+.f64 1/81 (.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) (+.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2))))))
(/.f64 (-.f64 1/729 (pow.f64 (pow.f64 (/.f64 4 (.f64 x x)) 2) 3)) (.f64 (-.f64 1/3 (/.f64 4 (.f64 x x))) (+.f64 1/81 (fma.f64 1/9 (pow.f64 (/.f64 4 (.f64 x x)) 2) (pow.f64 (/.f64 4 (*.f64 x x)) 4)))))
(pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 1)
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(pow.f64 (sqrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) 2)
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))) 3)
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(pow.f64 (pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 3) 1/3)
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(sqrt.f64 (pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 2))
(fabs.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))))
(log.f64 (exp.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))))
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))))))
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(cbrt.f64 (pow.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x))) 3))
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(expm1.f64 (log.f64 (+.f64 4/3 (/.f64 4 (*.f64 x x)))))
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(exp.f64 (log.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))))
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (+.f64 1/3 (/.f64 4 (.f64 x x)))) 1))
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(log1p.f64 (expm1.f64 (+.f64 1/3 (/.f64 4 (*.f64 x x)))))
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(fma.f64 (/.f64 4 x) (/.f64 1 x) 1/3)
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(fma.f64 1 (/.f64 4 (*.f64 x x)) 1/3)
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(fma.f64 (/.f64 2 x) (/.f64 2 x) 1/3)
(+.f64 1/3 (/.f64 4 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 x x))) 2) (cbrt.f64 (/.f64 4 (.f64 x x))) 1/3)
(+.f64 1/3 (/.f64 4 (*.f64 x x)))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(cos.f64 x)
✓	0.17%	(/.f64 (cos.f64 x) 3/4)
✓	0.27%	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
✓	3.04%	(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite86.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`associate-*l/`
1222×	`associate-/r*`
1160×	`associate-/l*`
1114×	`*-commutative`
418×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	245	55
2	3227	55

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/3 (*.f64 (cos.f64 x) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) -4/3) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 4/3 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (/.f64 1 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))) (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (+.f64 16/9 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (-.f64 256/81 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x)))))) (-.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (*.f64 16/9 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (+.f64 4096/729 (pow.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) 3))) (-.f64 (+.f64 256/81 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))) (*.f64 16/9 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (/.f64 1 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (/.f64 1 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (/.f64 1 (/.f64 1 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (/.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)) (sqrt.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (cbrt.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)))) (/.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)) (cbrt.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (cbrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))) (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (cbrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (*.f64 1 (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (neg.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (*.f64 1 (neg.f64 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (+.f64 4096/729 (pow.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) 3))) (-.f64 (+.f64 256/81 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))) (*.f64 16/9 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 4/3 (sin.f64 x)) (*.f64 (*.f64 4/3 (cos.f64 x)) (sin.f64 x))) (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4/3 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4/3 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 4/3 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2) (cbrt.f64 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 4/3 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 x)) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4/3 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4/3 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 3/4 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 3/4) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 3/4) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4/3 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/4 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 x) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4/3 (cos.f64 x))))))))

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

666×	`associate-r`
650×	`associate-+r+`
650×	`associate-l`
628×	`associate-+l+`
606×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	424	6784
1	1192	6362
2	6048	6346

Stop Event

1×	node limit

Counts

192 → 253

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 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (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)))))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
4/3
(+.f64 4/3 (*.f64 -2/3 (pow.f64 x 2)))
(+.f64 4/3 (+.f64 (.f64 1/18 (pow.f64 x 4)) (.f64 -2/3 (pow.f64 x 2))))
(+.f64 4/3 (+.f64 (.f64 -1/540 (pow.f64 x 6)) (+.f64 (.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2)))))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(+.f64 (*.f64 (cos.f64 x) -4/3) 4/3)
(+.f64 (-.f64 4/3 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))) 1)
(.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) 1)
(.f64 1 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)))
(.f64 (sqrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) 2) (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)) (/.f64 1 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))
(.f64 (/.f64 1 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))
(.f64 (/.f64 1 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))) (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)))
(.f64 (/.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (+.f64 4/3 (.f64 (cos.f64 x) -4/3)))
(.f64 (/.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) (+.f64 16/9 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x)))))
(.f64 (/.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)) (-.f64 256/81 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x)))))) (-.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (*.f64 16/9 (cos.f64 x))))
(.f64 (/.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)) (+.f64 4096/729 (pow.f64 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))) 3))) (-.f64 (+.f64 256/81 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))))) (.f64 16/9 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))))))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1)
(/.f64 1 (/.f64 1 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(/.f64 (sqrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (/.f64 1 (sqrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)))))
(/.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) 2) (/.f64 1 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)))))
(/.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (/.f64 1 (+.f64 4/3 (.f64 4/3 (cos.f64 x))))))
(/.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)) (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))
(/.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)) (/.f64 1 (/.f64 1 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))))
(/.f64 (sqrt.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) (/.f64 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)) (sqrt.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)))))
(/.f64 (sqrt.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (/.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (sqrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) (cbrt.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)))) (/.f64 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)) (cbrt.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (cbrt.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)))) (/.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (cbrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))))
(/.f64 (neg.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (neg.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (.f64 1 (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) (neg.f64 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))
(/.f64 (neg.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) (.f64 1 (neg.f64 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))))
(/.f64 (-.f64 16/9 (.f64 (.f64 (cos.f64 x) -4/3) (.f64 (cos.f64 x) -4/3))) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (-.f64 4096/729 (.f64 (pow.f64 (.f64 4/3 (cos.f64 x)) 3) (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) (.f64 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)) (+.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))))
(/.f64 (-.f64 256/81 (/.f64 (pow.f64 (.f64 4/3 (cos.f64 x)) 3) (/.f64 3/4 (cos.f64 x)))) (.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))
(/.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 64/27 (pow.f64 (.f64 (cos.f64 x) -4/3) 3)) (.f64 1 (+.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 262144/19683 (pow.f64 (pow.f64 (.f64 4/3 (cos.f64 x)) 3) 3)) (.f64 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)) (+.f64 4096/729 (+.f64 (.f64 (pow.f64 (.f64 4/3 (cos.f64 x)) 3) (pow.f64 (.f64 4/3 (cos.f64 x)) 3)) (.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))))))
(/.f64 (-.f64 4096/729 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 3)) (.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (+.f64 256/81 (+.f64 (/.f64 (pow.f64 (.f64 4/3 (cos.f64 x)) 3) (/.f64 3/4 (cos.f64 x))) (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))))
(/.f64 (.f64 (neg.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) 1) (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (.f64 (neg.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) 1) (neg.f64 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))
(/.f64 (.f64 (-.f64 16/9 (.f64 (.f64 (cos.f64 x) -4/3) (.f64 (cos.f64 x) -4/3))) 1) (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))
(/.f64 (.f64 (+.f64 64/27 (pow.f64 (.f64 (cos.f64 x) -4/3) 3)) 1) (+.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 (sqrt.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) (sqrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)))) (sqrt.f64 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))
(/.f64 (.f64 (sqrt.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (sqrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)))) (sqrt.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) 2)) (cbrt.f64 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))
(/.f64 (.f64 (cbrt.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (pow.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) 2)) (cbrt.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))))
(/.f64 (.f64 (-.f64 256/81 (/.f64 (pow.f64 (.f64 4/3 (cos.f64 x)) 3) (/.f64 3/4 (cos.f64 x)))) (/.f64 1 (+.f64 4/3 (.f64 4/3 (cos.f64 x))))) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))
(/.f64 (.f64 (-.f64 4096/729 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 3)) (/.f64 1 (+.f64 4/3 (.f64 4/3 (cos.f64 x))))) (+.f64 256/81 (+.f64 (/.f64 (pow.f64 (.f64 4/3 (cos.f64 x)) 3) (/.f64 3/4 (cos.f64 x))) (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))
(/.f64 (.f64 (-.f64 4096/729 (.f64 (pow.f64 (.f64 4/3 (cos.f64 x)) 3) (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) (/.f64 1 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))) (+.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)))
(/.f64 (.f64 (-.f64 262144/19683 (pow.f64 (pow.f64 (.f64 4/3 (cos.f64 x)) 3) 3)) (/.f64 1 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))) (+.f64 4096/729 (+.f64 (.f64 (pow.f64 (.f64 4/3 (cos.f64 x)) 3) (pow.f64 (.f64 4/3 (cos.f64 x)) 3)) (.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)))))
(/.f64 (/.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) 1) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (sqrt.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))))) (sqrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (.f64 (cbrt.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))) (cbrt.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))))) (cbrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 (cos.f64 x) 1)) 4/3)
(/.f64 (/.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)) 1) (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))
(/.f64 (/.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)) (sqrt.f64 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))) (sqrt.f64 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))
(/.f64 (/.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))) (cbrt.f64 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))) (cbrt.f64 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))
(pow.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1)
(pow.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2)
(pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 3)
(pow.f64 (pow.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 2))
(log.f64 (exp.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))
(cbrt.f64 (pow.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 3))
(expm1.f64 (log.f64 (+.f64 7/3 (*.f64 (cos.f64 x) -4/3))))
(exp.f64 (log.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(log1p.f64 (expm1.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4/3)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (.f64 1 (neg.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4/3))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 (cos.f64 x) -4/3)))
(+.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4/3)) (/.f64 4/3 (sin.f64 x)))
(+.f64 (.f64 (/.f64 1 (sin.f64 x)) (.f64 (cos.f64 x) -4/3)) (/.f64 4/3 (sin.f64 x)))
(-.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4/3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))) 1)
(.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 1)
(.f64 1 (/.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) (sin.f64 x)))
(.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) (sin.f64 x))) (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(.f64 (sqrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (.f64 (sqrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (/.f64 1 (sin.f64 x))))
(.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 2))
(.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) 2) (.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (.f64 (cos.f64 x) -4/3)))
(.f64 (+.f64 -4/3 (.f64 4/3 (cos.f64 x))) (/.f64 -1 (sin.f64 x)))
(.f64 (.f64 (sqrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (/.f64 1 (sin.f64 x))) (sqrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))))
(.f64 (.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) 2))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(.f64 (/.f64 -1 (sin.f64 x)) (+.f64 -4/3 (.f64 4/3 (cos.f64 x))))
(.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) 1) (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sin.f64 x)))
(.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (sin.f64 x)) (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (sin.f64 x)) (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 1))
(.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) 1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) 2) (sin.f64 x)) (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) 2))) (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(.f64 (/.f64 (.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (sin.f64 x))) (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(.f64 (/.f64 (.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (sin.f64 x))) (+.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) (+.f64 16/9 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x)))))
(.f64 (/.f64 (.f64 (/.f64 1 (sin.f64 x)) (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) (-.f64 256/81 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x)))))) (-.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (.f64 16/9 (cos.f64 x))))
(.f64 (/.f64 (.f64 (/.f64 1 (sin.f64 x)) (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) (+.f64 4096/729 (pow.f64 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))) 3))) (-.f64 (+.f64 256/81 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))))) (.f64 16/9 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))))
(.f64 (/.f64 (-.f64 (.f64 4/3 (sin.f64 x)) (.f64 (.f64 4/3 (cos.f64 x)) (sin.f64 x))) (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) -1)
(neg.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x)))) 1)
(*.f64 4/3 (cos.f64 x))
(*.f64 (cos.f64 x) 4/3)
(.f64 (.f64 4/3 (cos.f64 x)) 1)
(.f64 1 (.f64 4/3 (cos.f64 x)))
(.f64 (sqrt.f64 (.f64 4/3 (cos.f64 x))) (sqrt.f64 (*.f64 4/3 (cos.f64 x))))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 4/3 (sqrt.f64 (cos.f64 x))))
(.f64 (cbrt.f64 (.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (cos.f64 x))) 2) (cbrt.f64 (*.f64 4/3 (cos.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 4/3 (cbrt.f64 (cos.f64 x))))
(*.f64 (neg.f64 (cos.f64 x)) -4/3)
(.f64 (.f64 4/3 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 4/3 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 -4/3 (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 3/4 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 3/4) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 3/4) (cbrt.f64 (cos.f64 x)))
(pow.f64 (*.f64 4/3 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 3)
(pow.f64 (/.f64 3/4 (cos.f64 x)) -1)
(pow.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) 1/3)
(neg.f64 (/.f64 (cos.f64 x) -3/4))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))
(log.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 4/3 (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 4/3 (cos.f64 x))))

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)))
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(.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) -16/9) 16/9))) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (.f64 (-.f64 256/81 (.f64 (.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 256/81) 256/81)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x))))
(.f64 (/.f64 (.f64 (/.f64 1 (sin.f64 x)) (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) (+.f64 4096/729 (pow.f64 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))) 3))) (-.f64 (+.f64 256/81 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))))) (.f64 16/9 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))))
(.f64 (+.f64 256/81 (-.f64 (.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (.f64 (cos.f64 x) 16/9)) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (.f64 (cos.f64 x) 16/9))) (.f64 16/9 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (.f64 (cos.f64 x) 16/9))))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (+.f64 4096/729 (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (.f64 (cos.f64 x) 16/9)) 3)) (-.f64 64/27 (.f64 64/27 (pow.f64 (cos.f64 x) 3))))))
(.f64 (+.f64 256/81 (.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) 16/9) 16/9)) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) 16/9) 16/9)) 16/9))) (/.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) 16/9) 16/9)) 3))))
(.f64 (+.f64 256/81 (.f64 (.f64 (cos.f64 x) (+.f64 16/9 (.f64 (cos.f64 x) 16/9))) (-.f64 (.f64 (cos.f64 x) (+.f64 16/9 (.f64 (cos.f64 x) 16/9))) 16/9))) (/.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (.f64 (cos.f64 x) (+.f64 16/9 (.f64 (cos.f64 x) 16/9))) 3))))
(.f64 (/.f64 (-.f64 (.f64 4/3 (sin.f64 x)) (.f64 (.f64 4/3 (cos.f64 x)) (sin.f64 x))) (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(.f64 2 (/.f64 (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))
(/.f64 (.f64 (sin.f64 x) (.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2)) (-.f64 1 (cos.f64 (+.f64 x x))))
(pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 1)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 2)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 3)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 3) 1/3)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) -1)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(neg.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (neg.f64 (sin.f64 x)))
(/.f64 (fma.f64 4/3 (cos.f64 x) -4/3) (neg.f64 (sin.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2))
(fabs.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))
(log.f64 (exp.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 3))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x)))) 1)
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 (cos.f64 x) 4/3)
(*.f64 4/3 (cos.f64 x))
(.f64 (.f64 4/3 (cos.f64 x)) 1)
(*.f64 4/3 (cos.f64 x))
(.f64 1 (.f64 4/3 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(.f64 (sqrt.f64 (.f64 4/3 (cos.f64 x))) (sqrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 4/3 (sqrt.f64 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(.f64 (cbrt.f64 (.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2))
(*.f64 4/3 (cos.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (cos.f64 x))) 2) (cbrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 4/3 (cbrt.f64 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) -4/3)
(*.f64 4/3 (cos.f64 x))
(.f64 (.f64 4/3 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(.f64 (.f64 4/3 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 4/3 (cos.f64 x))
(*.f64 -4/3 (neg.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(*.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(*.f64 (/.f64 1 (/.f64 3/4 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 3/4) (sqrt.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 3/4) (cbrt.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(pow.f64 (*.f64 4/3 (cos.f64 x)) 1)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 2)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 3)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (/.f64 3/4 (cos.f64 x)) -1)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) 1/3)
(*.f64 4/3 (cos.f64 x))
(neg.f64 (/.f64 (cos.f64 x) -3/4))
(/.f64 (neg.f64 (cos.f64 x)) -3/4)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))
(fabs.f64 (*.f64 (cos.f64 x) -4/3))
(log.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (cos.f64 x)))))
(*.f64 4/3 (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))
(*.f64 4/3 (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(exp.f64 (log.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.25%	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
✓	0.4%	(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
✓	24.2%	(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))

Compiler

Compiled 40 to 29 computations (27.5% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`associate-*r/`
1324×	`associate-*l/`
1070×	`associate-/r*`
1020×	`associate-/l*`
272×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	77
1	277	77
2	3339	77

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))))

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simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1402×	`associate-/r*`
1236×	`distribute-lft-in`
1226×	`distribute-rgt-in`
970×	`associate-/r/`
368×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	294	4505
1	693	4445
2	2705	4445

Stop Event

1×	node limit

Counts

145 → 165

Calls

Call 1

Inputs
(*.f64 1/4 x)
(+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/4 x))
(+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(+.f64 (.f64 17/80640 (pow.f64 x 7)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (.f64 1/4 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (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)
(*.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 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 1)
(.f64 1 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 1)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (neg.f64 (sin.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 1)
(.f64 1 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1)
(/.f64 1 (/.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 1 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (-.f64 (cos.f64 (-.f64 (.f64 x 1/2) (.f64 x 1/2))) (cos.f64 (.f64 2 (.f64 x 1/2)))) 2)
(/.f64 (.f64 1 (-.f64 (cos.f64 (-.f64 (.f64 x 1/2) (.f64 x 1/2))) (cos.f64 (.f64 2 (*.f64 x 1/2))))) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 x 1/2) (.f64 x 1/2))) (cos.f64 (.f64 2 (*.f64 x 1/2)))) 1) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(exp.f64 (.f64 2 (log.f64 (sin.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(-.f64 (exp.f64 (log1p.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)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(.f64 1 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 8/3))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 (sin.f64 x) 3/8))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 2) (.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 8/3))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 2) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (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) 3/8) (/.f64 1 (sin.f64 x)))
(.f64 -8/3 (/.f64 (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) 3/8) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) 3/8)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 1 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 3/8 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 2))) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 2) 3/8) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (sin.f64 x) 3/8)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))
(.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 8/3 (neg.f64 (sin.f64 x))) (neg.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))
(.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))) (pow.f64 (cbrt.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))) 1)
(pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 (sin.f64 x) 3/8))) 2)
(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 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 -3/8 (sin.f64 x))))
(sqrt.f64 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)) 64/9))
(log.f64 (exp.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (log.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))

Outputs
(*.f64 1/4 x)
(+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/4 x))
(fma.f64 1/48 (pow.f64 x 3) (*.f64 1/4 x))
(fma.f64 1/4 x (*.f64 1/48 (pow.f64 x 3)))
(+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/480 (pow.f64 x 5) (*.f64 1/4 x)))
(fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/4 x (*.f64 1/480 (pow.f64 x 5))))
(+.f64 (.f64 17/80640 (pow.f64 x 7)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (.f64 1/4 x))))
(fma.f64 17/80640 (pow.f64 x 7) (fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/480 (pow.f64 x 5) (*.f64 1/4 x))))
(fma.f64 17/80640 (pow.f64 x 7) (fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/4 x (*.f64 1/480 (pow.f64 x 5)))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
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(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (.f64 8/3 (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)))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (.f64 8/3 (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)))

eval483.0ms (4.9%)

Compiler: Compiled 24470 to 17365 computations (29% saved)

prune254.0ms (2.6%)

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	1155	5	1160
Fresh	1	7	8
Picked	0	1	1
Done	0	9	9
Total	1156	22	1178

Error

Counts

1178 → 22

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.39%	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
	0.83%	(/.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3/8) (/.f64 1 (sin.f64 (.f64 x 1/2))))
	46.01%	(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
✓	46.12%	(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
✓	67.67%	(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
	74.56%	(/.f64 (/.f64 8/3 x) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
▶	75.02%	(/.f64 (-.f64 (.f64 (.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
✓	46.25%	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
▶	46.02%	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
	74.55%	(/.f64 (+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x))) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
✓	46.18%	(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
▶	50.35%	(/.f64 (*.f64 1/4 x) 3/8)
✓	0.74%	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (.f64 x 1/2))))
✓	0.44%	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
	0.83%	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x)))
▶	89.89%	(/.f64 8 (sin.f64 x))
✓	94.91%	(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
	24.55%	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
	46.08%	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
✓	0.48%	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
▶	0.57%	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
✓	50.62%	(*.f64 x 2/3)

Compiler

Compiled 396 to 320 computations (19.2% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(tan.f64 (/.f64 x 2))
✓	0.57%	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`add-sqr-sqrt`
1706×	`*-un-lft-identity`
1598×	`add-cube-cbrt`
1584×	`add-cbrt-cube`
176×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	189	28
2	2152	28

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)))) (#(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 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))))) (#(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 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)))) (#(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 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))))))

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1458×	`fma-def`
1216×	`associate-+r+`
1148×	`associate-+l+`
678×	`*-commutative`
596×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	1297
1	254	1297
2	918	1297
3	3160	1297
4	7754	1297

Stop Event

1×	node limit

Counts

61 → 69

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))))
(*.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 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 1)
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(pow.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2)
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 3)
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 3) 1/3)
(sqrt.f64 (.f64 16/9 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 3))
(expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(exp.f64 (.f64 (log.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (tan.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))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.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))))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.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 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 2/3 x (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/18 (pow.f64 x 3) (*.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 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/24))
(fma.f64 (pow.f64 x 3) 1/24 (*.f64 x 1/2))
(+.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 (pow.f64 x 3) 1/24)))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 5) 1/240)))
(fma.f64 x (fma.f64 1/24 (.f64 x x) 1/2) (.f64 (pow.f64 x 5) 1/240))
(+.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)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/24))))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 5) 1/240 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 7) 17/40320))))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (pow.f64 x 5) 1/240 (*.f64 (pow.f64 x 7) 17/40320))))
(fma.f64 x (fma.f64 1/24 (.f64 x x) 1/2) (fma.f64 (pow.f64 x 5) 1/240 (.f64 (pow.f64 x 7) 17/40320)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 3) 1/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(sqrt.f64 (.f64 16/9 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (log.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(tan.f64 (*.f64 x 1/2))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(tan.f64 (*.f64 x 1/2))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(tan.f64 (*.f64 x 1/2))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(tan.f64 (*.f64 x 1/2))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(tan.f64 (*.f64 x 1/2))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(tan.f64 (*.f64 x 1/2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(tan.f64 (*.f64 x 1/2))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(tan.f64 (*.f64 x 1/2))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 x 1/2))) 1))
(tan.f64 (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))

localize5.0ms (0.1%)

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.55%	(*.f64 x 2/3)
✓	0.63%	(.f64 (.f64 x x) 4/9)
✓	48.68%	(/.f64 (-.f64 (.f64 (.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))

Compiler

Compiled 41 to 26 computations (36.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (.f64 x x) 4/9)
0.0ms	x	@	0	(.f64 (.f64 x x) 4/9)
0.0ms	x	@	0	(/.f64 (-.f64 (.f64 (.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
0.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
0.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1866×	`add-sqr-sqrt`
1834×	`*-un-lft-identity`
1748×	`add-cube-cbrt`
216×	`add-exp-log`
216×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	277	20
2	3447	20

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(.f64 (.f64 x x) 4/9)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 2/3) (/.f64 0 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (/.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 2/3)) (/.f64 (*.f64 x 2/3) (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/27 (pow.f64 x 3)) (/.f64 1 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 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(*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/9 x) (/.f64 (*.f64 x x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3))) (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 4/9 (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 2/3) x) (/.f64 (*.f64 x 2/3) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 2/3) 2/3) (/.f64 (*.f64 x 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 2/3) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (sqrt.f64 (*.f64 x 2/3))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 4/9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2/3 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 4/9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 4/9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 16/81 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (/.f64 3/2 x) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2/3) (/.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 16/81 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 64/729 (pow.f64 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) (*.f64 16/81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (/.f64 3/2 x) (*.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x -2/3) (*.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x x) -4/9)) (*.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 8/27 (pow.f64 x 3))) (*.f64 8/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) x) (*.f64 x 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x x)) 4/9)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 4/9) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3))) (neg.f64 (*.f64 16/81 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x 2/3)) (*.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x (*.f64 x 4/9))) (*.f64 8/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x x) -4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) 1) (*.f64 (*.f64 x -2/3) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (*.f64 x x) -4/9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 4/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16/81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 4/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 4/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 4/9) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 4/9 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4/9 (*.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 2/3) (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 4/9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 0)))))

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1548×	`times-frac`
1084×	`associate-/l*`
748×	`associate-r`
742×	`distribute-lft-neg-in`
630×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	265	1960
1	818	1862
2	6256	1862

Stop Event

1×	node limit

Counts

150 → 144

Calls

Call 1

Inputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(+.f64 0 (*.f64 x 2/3))
(+.f64 (*.f64 x 2/3) 0)
(-.f64 (*.f64 x 2/3) 0)
(-.f64 (.f64 x 2/3) (/.f64 0 (.f64 x (*.f64 x 4/9))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1)
(*.f64 x 2/3)
(.f64 x (.f64 (*.f64 x 4/9) (/.f64 3/2 x)))
(.f64 (.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))
(.f64 4/9 (.f64 (*.f64 x x) (/.f64 3/2 x)))
(.f64 4/9 (/.f64 (.f64 x x) (*.f64 x 2/3)))
(.f64 (.f64 x (*.f64 x 4/9)) (/.f64 3/2 x))
(*.f64 2/3 x)
(.f64 2/3 (/.f64 (.f64 x x) x))
(.f64 (.f64 x 2/3) 1)
(.f64 (.f64 x 2/3) (.f64 (.f64 x 2/3) (/.f64 3/2 x)))
(.f64 1 (.f64 x 2/3))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 4/9)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2/3))
(.f64 (sqrt.f64 (.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) (.f64 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) (/.f64 3/2 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2/3))
(.f64 (cbrt.f64 (.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(.f64 (cbrt.f64 (.f64 x 2/3)) (/.f64 (.f64 x 2/3) (cbrt.f64 (.f64 x 2/3))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(.f64 (/.f64 3/2 x) (.f64 x (*.f64 x 4/9)))
(.f64 (.f64 8/27 (pow.f64 x 3)) (/.f64 1 (.f64 x (.f64 x 4/9))))
(.f64 (.f64 (.f64 x x) -4/9) (/.f64 1 (.f64 x -2/3)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))
(.f64 (.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (/.f64 1 x) (/.f64 (.f64 x (*.f64 x 4/9)) 2/3))
(.f64 3/2 (/.f64 (.f64 x (*.f64 x 4/9)) x))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x 2/3))) (/.f64 (.f64 x (.f64 x 4/9)) (sqrt.f64 (*.f64 x 2/3))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2)) (/.f64 (.f64 x (.f64 x 4/9)) (cbrt.f64 (*.f64 x 2/3))))
(.f64 (/.f64 (.f64 x 2/3) 1) (/.f64 (.f64 x 2/3) (.f64 x 2/3)))
(.f64 (/.f64 (.f64 x (.f64 x 4/9)) (.f64 x (.f64 x 4/9))) (.f64 x 2/3))
(.f64 (/.f64 x x) (/.f64 (.f64 x 4/9) 2/3))
(.f64 (/.f64 x 1) (/.f64 (.f64 x 4/9) (*.f64 x 2/3)))
(.f64 (/.f64 x 2/3) (/.f64 (.f64 x 4/9) x))
(.f64 (/.f64 x (sqrt.f64 (.f64 x 2/3))) (/.f64 (.f64 x 4/9) (sqrt.f64 (.f64 x 2/3))))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2)) (/.f64 (.f64 x 4/9) (cbrt.f64 (.f64 x 2/3))))
(.f64 (/.f64 (.f64 x x) x) 2/3)
(.f64 (/.f64 (.f64 x x) 2/3) (/.f64 4/9 x))
(.f64 (/.f64 4/9 x) (/.f64 (.f64 x x) 2/3))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3)))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 (.f64 x 2/3))) (/.f64 4/9 (sqrt.f64 (.f64 x 2/3))))
(.f64 (/.f64 4/9 (sqrt.f64 (.f64 x 2/3))) (/.f64 (.f64 x x) (sqrt.f64 (.f64 x 2/3))))
(.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2)) (/.f64 4/9 (cbrt.f64 (.f64 x 2/3))))
(.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (.f64 x 2/3))))
(.f64 (/.f64 (.f64 x 2/3) x) (/.f64 (*.f64 x 2/3) 2/3))
(.f64 (/.f64 (.f64 x 2/3) 2/3) (/.f64 (*.f64 x 2/3) x))
(.f64 (/.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2/3))
(.f64 (/.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) 2/3) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) x))
(.f64 (/.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) 1) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) (.f64 x 2/3)))
(.f64 (/.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) (sqrt.f64 (.f64 x 2/3))) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) (sqrt.f64 (*.f64 x 2/3))))
(pow.f64 (.f64 x (.f64 x 4/9)) 1/2)
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (/.f64 3/2 x) -1)
(pow.f64 (*.f64 8/27 (pow.f64 x 3)) 1/3)
(neg.f64 (/.f64 (.f64 x (.f64 x 4/9)) (*.f64 x -2/3)))
(sqrt.f64 (.f64 x (.f64 x 4/9)))
(fabs.f64 (*.f64 x 2/3))
(log.f64 (exp.f64 (*.f64 x 2/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))
(cbrt.f64 (*.f64 8/27 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(exp.f64 (.f64 (log.f64 (.f64 x 2/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(fma.f64 x 2/3 0)
(fma.f64 (.f64 x (.f64 x 4/9)) (/.f64 3/2 x) 0)
(fma.f64 2/3 x 0)
(fma.f64 1 (*.f64 x 2/3) 0)
(fma.f64 (sqrt.f64 (.f64 x 2/3)) (sqrt.f64 (.f64 x 2/3)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) (cbrt.f64 (.f64 x 2/3)) 0)
(+.f64 (.f64 x (.f64 x 4/9)) 0)
(+.f64 0 (.f64 x (.f64 x 4/9)))
(-.f64 (.f64 x (.f64 x 4/9)) 0)
(-.f64 (.f64 x (.f64 x 4/9)) (/.f64 0 (.f64 x (.f64 x 4/9))))
(-.f64 (.f64 x (.f64 x 4/9)) (/.f64 0 (*.f64 16/81 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 4/9)))) 1)
(/.f64 (.f64 x (.f64 x 4/9)) (.f64 (/.f64 3/2 x) (.f64 x 2/3)))
(/.f64 (.f64 x (.f64 x 4/9)) (.f64 (.f64 x 2/3) (/.f64 3/2 x)))
(/.f64 (*.f64 x 2/3) (/.f64 3/2 x))
(/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x)))
(/.f64 1 (/.f64 (.f64 x (.f64 x 4/9)) (*.f64 16/81 (pow.f64 x 4))))
(/.f64 1 (/.f64 (.f64 16/81 (pow.f64 x 4)) (.f64 64/729 (pow.f64 (*.f64 x x) 3))))
(/.f64 (.f64 16/81 (pow.f64 x 4)) (.f64 x (*.f64 x 4/9)))
(/.f64 (.f64 8/27 (pow.f64 x 3)) (.f64 x 2/3))
(/.f64 (.f64 64/729 (pow.f64 (.f64 x x) 3)) (*.f64 16/81 (pow.f64 x 4)))
(/.f64 (.f64 (.f64 x x) -4/9) (.f64 (/.f64 3/2 x) (.f64 x -2/3)))
(/.f64 (.f64 (.f64 (.f64 x x) -4/9) (.f64 (.f64 x x) -4/9)) (.f64 (.f64 x -2/3) (.f64 x -2/3)))
(/.f64 (.f64 (.f64 x 2/3) (.f64 (.f64 x x) -4/9)) (*.f64 x -2/3))
(/.f64 (.f64 (.f64 x (.f64 x 4/9)) (.f64 8/27 (pow.f64 x 3))) (*.f64 8/27 (pow.f64 x 3)))
(/.f64 (/.f64 (.f64 16/81 (pow.f64 x 4)) x) (.f64 x 4/9))
(/.f64 (/.f64 (.f64 16/81 (pow.f64 x 4)) (.f64 x x)) 4/9)
(/.f64 (/.f64 (.f64 16/81 (pow.f64 x 4)) 4/9) (.f64 x x))
(/.f64 (/.f64 (.f64 16/81 (pow.f64 x 4)) 1) (.f64 x (*.f64 x 4/9)))
(/.f64 (/.f64 (.f64 16/81 (pow.f64 x 4)) (cbrt.f64 (.f64 16/81 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(/.f64 (neg.f64 (.f64 64/729 (pow.f64 (.f64 x x) 3))) (neg.f64 (*.f64 16/81 (pow.f64 x 4))))
(/.f64 (.f64 (.f64 (.f64 x x) -4/9) (.f64 x 2/3)) (*.f64 x -2/3))
(/.f64 (.f64 (.f64 8/27 (pow.f64 x 3)) (.f64 x (.f64 x 4/9))) (*.f64 8/27 (pow.f64 x 3)))
(/.f64 (.f64 (.f64 x (.f64 x 4/9)) (.f64 (.f64 x x) -4/9)) (.f64 (*.f64 x x) -4/9))
(/.f64 (.f64 (.f64 (.f64 x x) -4/9) (.f64 x (.f64 x 4/9))) (.f64 (*.f64 x x) -4/9))
(/.f64 (.f64 (.f64 (.f64 x x) -4/9) 1) (.f64 (*.f64 x -2/3) (/.f64 3/2 x)))
(/.f64 (neg.f64 (.f64 16/81 (pow.f64 x 4))) (.f64 (*.f64 x x) -4/9))
(pow.f64 (.f64 x (.f64 x 4/9)) 1)
(pow.f64 (*.f64 x 2/3) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 3)
(pow.f64 (.f64 64/729 (pow.f64 (.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 16/81 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 4/9) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 4/9)))))
(cbrt.f64 (.f64 64/729 (pow.f64 (.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 4/9))))
(exp.f64 (log.f64 (.f64 x (.f64 x 4/9))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 4/9))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 4/9))))
(fma.f64 x (*.f64 x 4/9) 0)
(fma.f64 (*.f64 x x) 4/9 0)
(fma.f64 4/9 (*.f64 x x) 0)
(fma.f64 (.f64 x 2/3) (.f64 x 2/3) 0)
(fma.f64 1 (.f64 x (.f64 x 4/9)) 0)
(fma.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) 0)

Outputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 4/9 (pow.f64 x 2))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 x (.f64 x 4/9))
(+.f64 0 (*.f64 x 2/3))
(*.f64 2/3 x)
(+.f64 (*.f64 x 2/3) 0)
(*.f64 2/3 x)
(-.f64 (*.f64 x 2/3) 0)
(*.f64 2/3 x)
(-.f64 (.f64 x 2/3) (/.f64 0 (.f64 x (*.f64 x 4/9))))
(*.f64 2/3 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(.f64 x (.f64 (*.f64 x 4/9) (/.f64 3/2 x)))
(*.f64 2/3 x)
(.f64 (.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))
(*.f64 2/3 x)
(.f64 4/9 (.f64 (*.f64 x x) (/.f64 3/2 x)))
(*.f64 2/3 x)
(.f64 4/9 (/.f64 (.f64 x x) (*.f64 x 2/3)))
(*.f64 2/3 x)
(.f64 (.f64 x (*.f64 x 4/9)) (/.f64 3/2 x))
(*.f64 2/3 x)
(*.f64 2/3 x)
(.f64 2/3 (/.f64 (.f64 x x) x))
(*.f64 2/3 x)
(.f64 (.f64 x 2/3) 1)
(*.f64 2/3 x)
(.f64 (.f64 x 2/3) (.f64 (.f64 x 2/3) (/.f64 3/2 x)))
(*.f64 2/3 x)
(.f64 1 (.f64 x 2/3))
(*.f64 2/3 x)
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 4/9)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2/3))
(*.f64 2/3 x)
(.f64 (sqrt.f64 (.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) (.f64 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) (/.f64 3/2 x)))
(.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) (.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (.f64 2/3 x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 2/3 x)) 2) (.f64 (/.f64 3/2 x) (cbrt.f64 (.f64 16/81 (pow.f64 x 4)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2/3))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(*.f64 2/3 x)
(.f64 (cbrt.f64 (.f64 x 2/3)) (/.f64 (.f64 x 2/3) (cbrt.f64 (.f64 x 2/3))))
(.f64 (cbrt.f64 (.f64 2/3 x)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 2/3 x)) 2/3)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 2/3 x)) 4) (cbrt.f64 (.f64 2/3 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(.f64 (/.f64 3/2 x) (.f64 x (*.f64 x 4/9)))
(*.f64 2/3 x)
(.f64 (.f64 8/27 (pow.f64 x 3)) (/.f64 1 (.f64 x (.f64 x 4/9))))
(.f64 8/27 (.f64 (pow.f64 x 3) (/.f64 1 (.f64 x (.f64 x 4/9)))))
(/.f64 8/27 (/.f64 4/9 x))
(.f64 (.f64 (.f64 x x) -4/9) (/.f64 1 (.f64 x -2/3)))
(*.f64 2/3 x)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4)))) (fabs.f64 (cbrt.f64 (*.f64 2/3 x))))
(.f64 (.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 2/3 x)
(.f64 (.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 2/3 x)
(.f64 (/.f64 1 x) (/.f64 (.f64 x (*.f64 x 4/9)) 2/3))
(*.f64 2/3 x)
(.f64 3/2 (/.f64 (.f64 x (*.f64 x 4/9)) x))
(*.f64 2/3 x)
(.f64 (/.f64 1 (sqrt.f64 (.f64 x 2/3))) (/.f64 (.f64 x (.f64 x 4/9)) (sqrt.f64 (*.f64 x 2/3))))
(*.f64 2/3 x)
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2)) (/.f64 (.f64 x (.f64 x 4/9)) (cbrt.f64 (*.f64 x 2/3))))
(*.f64 2/3 x)
(.f64 (/.f64 (.f64 x 2/3) 1) (/.f64 (.f64 x 2/3) (.f64 x 2/3)))
(*.f64 2/3 x)
(.f64 (/.f64 (.f64 x (.f64 x 4/9)) (.f64 x (.f64 x 4/9))) (.f64 x 2/3))
(*.f64 2/3 x)
(.f64 (/.f64 x x) (/.f64 (.f64 x 4/9) 2/3))
(*.f64 2/3 x)
(.f64 (/.f64 x 1) (/.f64 (.f64 x 4/9) (*.f64 x 2/3)))
(*.f64 2/3 x)
(.f64 (/.f64 x 2/3) (/.f64 (.f64 x 4/9) x))
(*.f64 2/3 x)
(.f64 (/.f64 x (sqrt.f64 (.f64 x 2/3))) (/.f64 (.f64 x 4/9) (sqrt.f64 (.f64 x 2/3))))
(*.f64 2/3 x)
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2)) (/.f64 (.f64 x 4/9) (cbrt.f64 (.f64 x 2/3))))
(*.f64 2/3 x)
(.f64 (/.f64 (.f64 x x) x) 2/3)
(*.f64 2/3 x)
(.f64 (/.f64 (.f64 x x) 2/3) (/.f64 4/9 x))
(*.f64 2/3 x)
(.f64 (/.f64 4/9 x) (/.f64 (.f64 x x) 2/3))
(*.f64 2/3 x)
(.f64 (/.f64 (.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3)))
(*.f64 2/3 x)
(.f64 (/.f64 (.f64 x x) (sqrt.f64 (.f64 x 2/3))) (/.f64 4/9 (sqrt.f64 (.f64 x 2/3))))
(*.f64 2/3 x)
(.f64 (/.f64 4/9 (sqrt.f64 (.f64 x 2/3))) (/.f64 (.f64 x x) (sqrt.f64 (.f64 x 2/3))))
(*.f64 2/3 x)
(.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2)) (/.f64 4/9 (cbrt.f64 (.f64 x 2/3))))
(*.f64 2/3 x)
(.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (.f64 x 2/3))))
(*.f64 2/3 x)
(.f64 (/.f64 (.f64 x 2/3) x) (/.f64 (*.f64 x 2/3) 2/3))
(*.f64 2/3 x)
(.f64 (/.f64 (.f64 x 2/3) 2/3) (/.f64 (*.f64 x 2/3) x))
(*.f64 2/3 x)
(.f64 (/.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2/3))
(.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) (.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (.f64 2/3 x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 2/3 x)) 2) (.f64 (/.f64 3/2 x) (cbrt.f64 (.f64 16/81 (pow.f64 x 4)))))
(.f64 (/.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) 2/3) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) x))
(.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) (.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (.f64 2/3 x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 2/3 x)) 2) (.f64 (/.f64 3/2 x) (cbrt.f64 (.f64 16/81 (pow.f64 x 4)))))
(.f64 (/.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) 1) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) (.f64 x 2/3)))
(.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) (.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (.f64 2/3 x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 2/3 x)) 2) (.f64 (/.f64 3/2 x) (cbrt.f64 (.f64 16/81 (pow.f64 x 4)))))
(.f64 (/.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) (sqrt.f64 (.f64 x 2/3))) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) (sqrt.f64 (*.f64 x 2/3))))
(.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) (.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (.f64 2/3 x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 2/3 x)) 2) (.f64 (/.f64 3/2 x) (cbrt.f64 (.f64 16/81 (pow.f64 x 4)))))
(pow.f64 (.f64 x (.f64 x 4/9)) 1/2)
(sqrt.f64 (.f64 x (.f64 x 4/9)))
(fabs.f64 (*.f64 x -2/3))
(pow.f64 (*.f64 x 2/3) 1)
(*.f64 2/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 2/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(*.f64 2/3 x)
(pow.f64 (/.f64 3/2 x) -1)
(*.f64 2/3 x)
(pow.f64 (*.f64 8/27 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 8/27 (pow.f64 x 3)))
(neg.f64 (/.f64 (.f64 x (.f64 x 4/9)) (*.f64 x -2/3)))
(*.f64 2/3 x)
(sqrt.f64 (.f64 x (.f64 x 4/9)))
(fabs.f64 (*.f64 x -2/3))
(fabs.f64 (*.f64 x 2/3))
(*.f64 2/3 x)
(log.f64 (exp.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))
(*.f64 2/3 x)
(cbrt.f64 (*.f64 8/27 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (log.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (.f64 (log.f64 (.f64 x 2/3)) 1))
(*.f64 2/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(fma.f64 x 2/3 0)
(*.f64 2/3 x)
(fma.f64 (.f64 x (.f64 x 4/9)) (/.f64 3/2 x) 0)
(*.f64 2/3 x)
(fma.f64 2/3 x 0)
(*.f64 2/3 x)
(fma.f64 1 (*.f64 x 2/3) 0)
(*.f64 2/3 x)
(fma.f64 (sqrt.f64 (.f64 x 2/3)) (sqrt.f64 (.f64 x 2/3)) 0)
(*.f64 2/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) (cbrt.f64 (.f64 x 2/3)) 0)
(*.f64 2/3 x)
(+.f64 (.f64 x (.f64 x 4/9)) 0)
(.f64 x (.f64 x 4/9))
(+.f64 0 (.f64 x (.f64 x 4/9)))
(.f64 x (.f64 x 4/9))
(-.f64 (.f64 x (.f64 x 4/9)) 0)
(.f64 x (.f64 x 4/9))
(-.f64 (.f64 x (.f64 x 4/9)) (/.f64 0 (.f64 x (.f64 x 4/9))))
(.f64 x (.f64 x 4/9))
(-.f64 (.f64 x (.f64 x 4/9)) (/.f64 0 (*.f64 16/81 (pow.f64 x 4))))
(.f64 x (.f64 x 4/9))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 4/9)))) 1)
(.f64 x (.f64 x 4/9))
(/.f64 (.f64 x (.f64 x 4/9)) (.f64 (/.f64 3/2 x) (.f64 x 2/3)))
(.f64 x (.f64 x 4/9))
(/.f64 (.f64 x (.f64 x 4/9)) (.f64 (.f64 x 2/3) (/.f64 3/2 x)))
(.f64 x (.f64 x 4/9))
(/.f64 (*.f64 x 2/3) (/.f64 3/2 x))
(.f64 x (.f64 x 4/9))
(/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x)))
(.f64 x (.f64 x 4/9))
(/.f64 1 (/.f64 (.f64 x (.f64 x 4/9)) (*.f64 16/81 (pow.f64 x 4))))
(.f64 x (.f64 x 4/9))
(/.f64 1 (/.f64 (.f64 16/81 (pow.f64 x 4)) (.f64 64/729 (pow.f64 (*.f64 x x) 3))))
(/.f64 1 (.f64 9/4 (/.f64 (pow.f64 x 4) (pow.f64 (.f64 x x) 3))))
(*.f64 4/9 (/.f64 (pow.f64 x 6) (pow.f64 x 4)))
(/.f64 (.f64 16/81 (pow.f64 x 4)) (.f64 x (*.f64 x 4/9)))
(.f64 x (.f64 x 4/9))
(/.f64 (.f64 8/27 (pow.f64 x 3)) (.f64 x 2/3))
(.f64 x (.f64 x 4/9))
(/.f64 (.f64 64/729 (pow.f64 (.f64 x x) 3)) (*.f64 16/81 (pow.f64 x 4)))
(/.f64 1 (.f64 9/4 (/.f64 (pow.f64 x 4) (pow.f64 (.f64 x x) 3))))
(*.f64 4/9 (/.f64 (pow.f64 x 6) (pow.f64 x 4)))
(/.f64 (.f64 (.f64 x x) -4/9) (.f64 (/.f64 3/2 x) (.f64 x -2/3)))
(.f64 x (.f64 x 4/9))
(/.f64 (.f64 (.f64 (.f64 x x) -4/9) (.f64 (.f64 x x) -4/9)) (.f64 (.f64 x -2/3) (.f64 x -2/3)))
(.f64 x (.f64 x 4/9))
(/.f64 (.f64 (.f64 x 2/3) (.f64 (.f64 x x) -4/9)) (*.f64 x -2/3))
(.f64 x (.f64 x 4/9))
(/.f64 (.f64 (.f64 x (.f64 x 4/9)) (.f64 8/27 (pow.f64 x 3))) (*.f64 8/27 (pow.f64 x 3)))
(.f64 x (.f64 x 4/9))
(/.f64 (/.f64 (.f64 16/81 (pow.f64 x 4)) x) (.f64 x 4/9))
(.f64 x (.f64 x 4/9))
(/.f64 (/.f64 (.f64 16/81 (pow.f64 x 4)) (.f64 x x)) 4/9)
(.f64 x (.f64 x 4/9))
(/.f64 (/.f64 (.f64 16/81 (pow.f64 x 4)) 4/9) (.f64 x x))
(.f64 x (.f64 x 4/9))
(/.f64 (/.f64 (.f64 16/81 (pow.f64 x 4)) 1) (.f64 x (*.f64 x 4/9)))
(.f64 x (.f64 x 4/9))
(/.f64 (/.f64 (.f64 16/81 (pow.f64 x 4)) (cbrt.f64 (.f64 16/81 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(/.f64 (/.f64 (.f64 16/81 (pow.f64 x 4)) (cbrt.f64 (.f64 16/81 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))
(.f64 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 (.f64 2/3 x)) 2)) (/.f64 16/81 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))))
(/.f64 (neg.f64 (.f64 64/729 (pow.f64 (.f64 x x) 3))) (neg.f64 (*.f64 16/81 (pow.f64 x 4))))
(/.f64 1 (.f64 9/4 (/.f64 (pow.f64 x 4) (pow.f64 (.f64 x x) 3))))
(*.f64 4/9 (/.f64 (pow.f64 x 6) (pow.f64 x 4)))
(/.f64 (.f64 (.f64 (.f64 x x) -4/9) (.f64 x 2/3)) (*.f64 x -2/3))
(.f64 x (.f64 x 4/9))
(/.f64 (.f64 (.f64 8/27 (pow.f64 x 3)) (.f64 x (.f64 x 4/9))) (*.f64 8/27 (pow.f64 x 3)))
(.f64 x (.f64 x 4/9))
(/.f64 (.f64 (.f64 x (.f64 x 4/9)) (.f64 (.f64 x x) -4/9)) (.f64 (*.f64 x x) -4/9))
(.f64 x (.f64 x 4/9))
(/.f64 (.f64 (.f64 (.f64 x x) -4/9) (.f64 x (.f64 x 4/9))) (.f64 (*.f64 x x) -4/9))
(.f64 x (.f64 x 4/9))
(/.f64 (.f64 (.f64 (.f64 x x) -4/9) 1) (.f64 (*.f64 x -2/3) (/.f64 3/2 x)))
(.f64 x (.f64 x 4/9))
(/.f64 (neg.f64 (.f64 16/81 (pow.f64 x 4))) (.f64 (*.f64 x x) -4/9))
(.f64 x (.f64 x 4/9))
(pow.f64 (.f64 x (.f64 x 4/9)) 1)
(.f64 x (.f64 x 4/9))
(pow.f64 (*.f64 x 2/3) 2)
(.f64 x (.f64 x 4/9))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 3)
(.f64 x (.f64 x 4/9))
(pow.f64 (.f64 64/729 (pow.f64 (.f64 x x) 3)) 1/3)
(cbrt.f64 (.f64 64/729 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 64/729 (pow.f64 x 6)))
(sqrt.f64 (*.f64 16/81 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 4/9) (*.f64 x x)))
(.f64 x (.f64 x 4/9))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 4/9)))))
(.f64 x (.f64 x 4/9))
(cbrt.f64 (.f64 64/729 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 64/729 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 4/9))))
(.f64 x (.f64 x 4/9))
(exp.f64 (log.f64 (.f64 x (.f64 x 4/9))))
(.f64 x (.f64 x 4/9))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 4/9))) 1))
(.f64 x (.f64 x 4/9))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 4/9))))
(.f64 x (.f64 x 4/9))
(fma.f64 x (*.f64 x 4/9) 0)
(.f64 x (.f64 x 4/9))
(fma.f64 (*.f64 x x) 4/9 0)
(.f64 x (.f64 x 4/9))
(fma.f64 4/9 (*.f64 x x) 0)
(.f64 x (.f64 x 4/9))
(fma.f64 (.f64 x 2/3) (.f64 x 2/3) 0)
(.f64 x (.f64 x 4/9))
(fma.f64 1 (.f64 x (.f64 x 4/9)) 0)
(.f64 x (.f64 x 4/9))
(fma.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x 2/3)) 2) 0)
(fma.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 2/3 x)) 2) 0)
(.f64 (cbrt.f64 (.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.18%	(/.f64 8 (sin.f64 x))

Compiler

Compiled 9 to 5 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`add-sqr-sqrt`
1338×	`*-un-lft-identity`
1252×	`add-cube-cbrt`
1242×	`add-cbrt-cube`
1228×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	144	11
2	1683	11

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(/.f64 8 (sin.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 8 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 8 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 8 (sin.f64 x))) (sqrt.f64 (/.f64 8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 8 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 8 (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 8 (sin.f64 x))) 2) (cbrt.f64 (/.f64 8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8 (/.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 8 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 8 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 8 (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) 1/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 8 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 8 (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 8 (sin.f64 x))))))))

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1124×	`associate-*r/`
1034×	`associate-r`
1028×	`associate-/l*`
814×	`associate-l`
780×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	554
1	144	434
2	556	314
3	2937	314

Stop Event

1×	node limit

Counts

24 → 34

Calls

Call 1

Inputs
(/.f64 8 x)
(+.f64 (.f64 4/3 x) (.f64 8 (/.f64 1 x)))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 7/45 (pow.f64 x 3)) (*.f64 8 (/.f64 1 x))))
(+.f64 (.f64 31/1890 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (+.f64 (.f64 7/45 (pow.f64 x 3)) (.f64 8 (/.f64 1 x)))))
(-.f64 (+.f64 1 (/.f64 8 (sin.f64 x))) 1)
(*.f64 8 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 8 (sin.f64 x)) 1)
(*.f64 1 (/.f64 8 (sin.f64 x)))
(*.f64 (sqrt.f64 (/.f64 8 (sin.f64 x))) (sqrt.f64 (/.f64 8 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 8 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 8 (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 8 (sin.f64 x))) 2) (cbrt.f64 (/.f64 8 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) 8)
(*.f64 -8 (/.f64 1 (neg.f64 (sin.f64 x))))
(pow.f64 (/.f64 8 (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 8 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 8 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 8 (sin.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 x) 1/8) -1)
(sqrt.f64 (pow.f64 (/.f64 8 (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 8 (sin.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 8 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 8 (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 8 (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 8 (sin.f64 x))))

Outputs
(/.f64 8 x)
(+.f64 (.f64 4/3 x) (.f64 8 (/.f64 1 x)))
(fma.f64 4/3 x (/.f64 8 x))
(fma.f64 x 4/3 (/.f64 8 x))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 7/45 (pow.f64 x 3)) (*.f64 8 (/.f64 1 x))))
(fma.f64 4/3 x (fma.f64 7/45 (pow.f64 x 3) (/.f64 8 x)))
(fma.f64 x 4/3 (fma.f64 7/45 (pow.f64 x 3) (/.f64 8 x)))
(+.f64 (.f64 31/1890 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (+.f64 (.f64 7/45 (pow.f64 x 3)) (.f64 8 (/.f64 1 x)))))
(fma.f64 31/1890 (pow.f64 x 5) (fma.f64 4/3 x (fma.f64 7/45 (pow.f64 x 3) (/.f64 8 x))))
(fma.f64 31/1890 (pow.f64 x 5) (fma.f64 x 4/3 (fma.f64 7/45 (pow.f64 x 3) (/.f64 8 x))))
(fma.f64 x 4/3 (fma.f64 31/1890 (pow.f64 x 5) (fma.f64 7/45 (pow.f64 x 3) (/.f64 8 x))))
(-.f64 (+.f64 1 (/.f64 8 (sin.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(*.f64 8 (/.f64 1 (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(*.f64 (/.f64 8 (sin.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(*.f64 1 (/.f64 8 (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(*.f64 (sqrt.f64 (/.f64 8 (sin.f64 x))) (sqrt.f64 (/.f64 8 (sin.f64 x))))
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 8 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 8 (sin.f64 x))) 2))
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 8 (sin.f64 x))) 2) (cbrt.f64 (/.f64 8 (sin.f64 x))))
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) 8)
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(*.f64 -8 (/.f64 1 (neg.f64 (sin.f64 x))))
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(pow.f64 (/.f64 8 (sin.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 8 (sin.f64 x))) 2)
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 8 (sin.f64 x))) 3)
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 8 (sin.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 x) 1/8) -1)
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 8 (sin.f64 x)) 2))
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(log.f64 (exp.f64 (/.f64 8 (sin.f64 x))))
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 8 (sin.f64 x)) 3))
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 8 (sin.f64 x))))
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(exp.f64 (log.f64 (/.f64 8 (sin.f64 x))))
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 8 (sin.f64 x))))
(+.f64 1 (-.f64 (/.f64 8 (sin.f64 x)) 1))
(+.f64 (/.f64 8 (sin.f64 x)) 0)
(/.f64 8 (sin.f64 x))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(cos.f64 x)
✓	0.21%	(*.f64 (sin.f64 x) 3/4)
✓	0.31%	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
✓	2.78%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 25 to 14 computations (44% saved)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1686×	`associate-/r*`
1626×	`associate-*r/`
1478×	`associate-/l*`
1220×	`associate-*l/`
1070×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	230	39
2	3046	39

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) 1) (neg.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x))) (/.f64 4/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (/.f64 x 2)) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/4)))))))

simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1810×	`distribute-lft-in`
1710×	`associate-/r*`
1418×	`associate-/l/`
1236×	`associate-/r/`
436×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	5017
1	935	4859
2	3757	4835

Stop Event

1×	node limit

Counts

165 → 232

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 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 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 3/4 x)
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 3/4 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 3/4 x) (*.f64 1/160 (pow.f64 x 5))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/6720 (pow.f64 x 7)) (+.f64 (.f64 3/4 x) (.f64 1/160 (pow.f64 x 5)))))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (*.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (.f64 1 (-.f64 1 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x)))
(/.f64 (.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) 1) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (.f64 (-.f64 1 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 1 (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (cos.f64 x)))) 2)
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 (+.f64 1 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cos.f64 x) 3)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x))))
(+.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x))) (/.f64 4/3 (sin.f64 x)))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 1)
(.f64 1 (.f64 (tan.f64 (/.f64 x 2)) 4/3))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))
(.f64 (.f64 (tan.f64 (/.f64 x 2)) 4/3) 1)
(.f64 (sqrt.f64 (.f64 (tan.f64 (/.f64 x 2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 (tan.f64 (/.f64 x 2)) 4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2))
(.f64 (cbrt.f64 (.f64 (tan.f64 (/.f64 x 2)) 4/3)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -4/3 (sin.f64 x)))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))
(.f64 (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 3/4))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/4)) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)))
(*.f64 (/.f64 -4/3 (sin.f64 x)) (+.f64 -1 (cos.f64 x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3/4))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/4)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3/4) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/4)) 2)) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3) 1/3)
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
(neg.f64 (/.f64 (tan.f64 (/.f64 x 2)) -3/4))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 2))
(log.f64 (exp.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4))) 1)
(pow.f64 (*.f64 (sin.f64 x) 3/4) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/4))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/4)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/4)))

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)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.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 2/3 x)
(*.f64 x 2/3)
(+.f64 (.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 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(+.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))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 x 2/3 (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3)))
(+.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 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 x 2/3 (*.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 1/180 (pow.f64 x 5) (*.f64 x 2/3))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 3/4 x)
(*.f64 x 3/4)
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(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/4)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)))
(.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3/4) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))
(.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))
(.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/4)) 2)) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (.f64 4/3 (tan.f64 (/.f64 x 2))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2))
(.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (/.f64 x 2)))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)))
(/.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (/.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) 3/4)) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3) 1/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(neg.f64 (/.f64 (tan.f64 (/.f64 x 2)) -3/4))
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 2))
(sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 2))
(fabs.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))
(log.f64 (exp.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4))) 1)
(*.f64 (sin.f64 x) 3/4)
(pow.f64 (*.f64 (sin.f64 x) 3/4) 1)
(*.f64 (sin.f64 x) 3/4)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)
(*.f64 (sin.f64 x) 3/4)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 3)
(*.f64 (sin.f64 x) 3/4)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3) 1/3)
(*.f64 (sin.f64 x) 3/4)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))
(fabs.f64 (*.f64 (sin.f64 x) 3/4))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/4))
(*.f64 (sin.f64 x) 3/4)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 (sin.f64 x) 3/4)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3))
(*.f64 (sin.f64 x) 3/4)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4)))
(*.f64 (sin.f64 x) 3/4)
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/4)))
(*.f64 (sin.f64 x) 3/4)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/4)))
(*.f64 (sin.f64 x) 3/4)

eval162.0ms (1.6%)

Compiler: Compiled 7871 to 5462 computations (30.6% saved)

prune92.0ms (0.9%)

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	507	13	520
Fresh	4	3	7
Picked	0	1	1
Done	7	7	14
Total	518	24	542

Error

Counts

542 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	0.58%	(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
	46.01%	(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
✓	67.67%	(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
	74.56%	(/.f64 (/.f64 8/3 x) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
✓	46.02%	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
	74.55%	(/.f64 (+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x))) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
✓	46.18%	(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
	0.61%	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
✓	50.35%	(/.f64 (*.f64 1/4 x) 3/8)
	0.26%	(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)
✓	89.89%	(/.f64 8 (sin.f64 x))
	96.43%	(/.f64 8 x)
	50.53%	(/.f64 8/27 (/.f64 4/9 x))
✓	94.91%	(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
	74.97%	(.f64 (/.f64 (.f64 x x) x) 2/3)
	46.05%	(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	0.68%	(.f64 (/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) 4/3)
	75%	(.f64 (.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))
	50.95%	(.f64 (.f64 x 2/3) (.f64 (.f64 x 2/3) (/.f64 3/2 x)))
✓	0.57%	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
	45.22%	(.f64 (log.f64 (exp.f64 (tan.f64 (.f64 x 1/2)))) 4/3)
	50.73%	(.f64 x (.f64 (*.f64 x 4/9) (/.f64 3/2 x)))
✓	50.62%	(*.f64 x 2/3)
	74.96%	(.f64 4/9 (.f64 (*.f64 x x) (/.f64 3/2 x)))

Compiler

Compiled 227 to 180 computations (20.7% saved)

regimes48.0ms (0.5%)

Counts

44 → 1

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 8 x)
(/.f64 8/27 (/.f64 4/9 x))
(/.f64 (*.f64 1/4 x) 3/8)
(.f64 (/.f64 (.f64 x x) x) 2/3)
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(.f64 4/9 (.f64 (*.f64 x x) (/.f64 3/2 x)))
(.f64 x (.f64 (*.f64 x 4/9) (/.f64 3/2 x)))
(.f64 (.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))
(.f64 (.f64 x 2/3) (.f64 (.f64 x 2/3) (/.f64 3/2 x)))
(/.f64 (/.f64 8/3 x) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x))) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
(/.f64 8 (sin.f64 x))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)
(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
(/.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) 4/3)
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.f64 (log.f64 (exp.f64 (tan.f64 (.f64 x 1/2)))) 4/3)
(.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) (sin.f64 x)) 3/8)
(.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)) 8/3)
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 x 1/2)) 3/8)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 1 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x)))
(/.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))) (sin.f64 x))
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(/.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3/8) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(/.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 2) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)

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

Calls

2 calls:

19.0ms	x
17.0ms	(/.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
0.26%	1	`x`
0.26%	1	`(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))`

Compiler

Compiled 475 to 341 computations (28.2% saved)

regimes13.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 8 x)
(/.f64 8/27 (/.f64 4/9 x))
(/.f64 (*.f64 1/4 x) 3/8)
(.f64 (/.f64 (.f64 x x) x) 2/3)
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(.f64 4/9 (.f64 (*.f64 x x) (/.f64 3/2 x)))
(.f64 x (.f64 (*.f64 x 4/9) (/.f64 3/2 x)))
(.f64 (.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))
(.f64 (.f64 x 2/3) (.f64 (.f64 x 2/3) (/.f64 3/2 x)))
(/.f64 (/.f64 8/3 x) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x))) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
(/.f64 8 (sin.f64 x))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
0.57%	1	`x`

Compiler

Compiled 128 to 91 computations (28.9% saved)

regimes26.0ms (0.3%)

Counts

14 → 3

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 8 x)
(/.f64 8/27 (/.f64 4/9 x))
(/.f64 (*.f64 1/4 x) 3/8)
(.f64 (/.f64 (.f64 x x) x) 2/3)
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(.f64 4/9 (.f64 (*.f64 x x) (/.f64 3/2 x)))
(.f64 x (.f64 (*.f64 x 4/9) (/.f64 3/2 x)))
(.f64 (.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))
(.f64 (.f64 x 2/3) (.f64 (.f64 x 2/3) (/.f64 3/2 x)))
(/.f64 (/.f64 8/3 x) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x))) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
(/.f64 8 (sin.f64 x))

Outputs
(/.f64 8 (sin.f64 x))
(/.f64 (*.f64 1/4 x) 3/8)
(/.f64 8 (sin.f64 x))

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
43.47%	3	`x`

Compiler

Compiled 116 to 81 computations (30.2% saved)

bsearch64.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	0.24915910779184183	43243.580528129016
31.0ms	-1242.0275778362795	-0.46364315798667366

Results

60.0ms

272×

body

256

valid

Compiler

Compiled 242 to 204 computations (15.7% saved)

regimes11.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 8 x)
(/.f64 8/27 (/.f64 4/9 x))
(/.f64 (*.f64 1/4 x) 3/8)
(.f64 (/.f64 (.f64 x x) x) 2/3)
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(.f64 4/9 (.f64 (*.f64 x x) (/.f64 3/2 x)))
(.f64 x (.f64 (*.f64 x 4/9) (/.f64 3/2 x)))
(.f64 (.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))
(.f64 (.f64 x 2/3) (.f64 (.f64 x 2/3) (/.f64 3/2 x)))
(/.f64 (/.f64 8/3 x) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x))) (+.f64 1/3 (/.f64 (/.f64 4 x) x)))

Outputs
(/.f64 (*.f64 1/4 x) 3/8)

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
50.35%	1	`x`

Compiler

Compiled 112 to 78 computations (30.4% saved)

regimes5.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 8 x)
(/.f64 8/27 (/.f64 4/9 x))

Outputs
(/.f64 8/27 (/.f64 4/9 x))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
50.53%	1	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes4.0ms (0%)

Accuracy

Total -29.5b remaining (-91.2%)

Threshold costs -29.5b (-91.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 x 2/3)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
50.62%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
4×	`sub-neg`
4×	`neg-mul-1`
4×	`+-commutative`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	120
1	48	120
2	52	120
3	55	120
4	56	120

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(if (<=.f64 x -3039929748475085/1125899906842624) (/.f64 8 (sin.f64 x)) (if (<=.f64 x 3039929748475085/1125899906842624) (/.f64 (*.f64 1/4 x) 3/8) (/.f64 8 (sin.f64 x))))
(/.f64 (*.f64 1/4 x) 3/8)
(/.f64 8/27 (/.f64 4/9 x))
(*.f64 x 2/3)

Outputs
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(if (<=.f64 x -3039929748475085/1125899906842624) (/.f64 8 (sin.f64 x)) (if (<=.f64 x 3039929748475085/1125899906842624) (/.f64 (*.f64 1/4 x) 3/8) (/.f64 8 (sin.f64 x))))
(if (or (<=.f64 x -3039929748475085/1125899906842624) (not (<=.f64 x 3039929748475085/1125899906842624))) (/.f64 8 (sin.f64 x)) (/.f64 (*.f64 x 1/4) 3/8))
(/.f64 (*.f64 1/4 x) 3/8)
(/.f64 (*.f64 x 1/4) 3/8)
(/.f64 8/27 (/.f64 4/9 x))
(*.f64 x 2/3)

Compiler

Compiled 50 to 41 computations (18% saved)

soundness167.0ms (1.7%)

Algorithm

3×	egg-herbie

Rules

1810×	`distribute-lft-in`
1710×	`associate-/r*`
1576×	`associate-/l*`
1418×	`associate-/l/`
1236×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	22	43
2	33	43
3	45	43
4	56	43
5	60	43
0	700	11172
1	1772	9948
2	7730	9948
0	371	5017
1	935	4859
2	3757	4835

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 150 to 111 computations (26% saved)

end44.0ms (0.4%)

Compiler: Compiled 45 to 36 computations (20% saved)