Details

analyze394.0ms (5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample3.0s (37.8%)

Results

1.4s	2055×	body	1024	valid
1.1s	5119×	body	256	valid
454.0ms	1070×	body	512	valid
12.0ms	12×	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 (0.2%)

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

14.1b

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.3b	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
▶	14.3b	(/.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
▶	14.3b	(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)) 8/3)

Status

Error

Program

▶

14.3b

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

▶

14.3b

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

▶

14.3b

(*.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)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 (*.f64 x 1/2))
✓	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓	0.3b	(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)) 8/3)
✓	14.1b	(/.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)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite100.0ms (1.3%)

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	88
1	257	88
2	3402	86

Stop Event

1×	node limit

Counts

4 → 290

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

simplify151.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1018×	`associate-/l/`
896×	`associate-r`
858×	`associate-/r*`
840×	`times-frac`
702×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	748	11162
1	1853	9904
2	7975	9904

Stop Event

1×	node limit

Counts

338 → 429

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 1/2 x)
(+.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 -1/48 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/3840 (pow.f64 x 5))))
(+.f64 (.f64 -1/645120 (pow.f64 x 7)) (+.f64 (.f64 -1/48 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 1/3840 (pow.f64 x 5)))))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(-.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)))
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(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (sqrt.f64 2))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 1) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 1)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 1/3)
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fabs.f64 (sin.f64 (*.f64 x 1/2)))
(log.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x 1/2))))

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)))
(/.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)))
(/.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)))
(/.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 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)))
(fma.f64 -1/48 (pow.f64 x 4) (.f64 1/4 (.f64 x x)))
(+.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))))
(fma.f64 1/4 (.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6))))
(+.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)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 1/2 x))
(fma.f64 -1/48 (pow.f64 x 3) (*.f64 x 1/2))
(fma.f64 (pow.f64 x 3) -1/48 (*.f64 x 1/2))
(+.f64 (.f64 -1/48 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/3840 (pow.f64 x 5))))
(fma.f64 -1/48 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 (pow.f64 x 5) 1/3840)))
(fma.f64 (pow.f64 x 3) -1/48 (fma.f64 x 1/2 (*.f64 (pow.f64 x 5) 1/3840)))
(+.f64 (.f64 -1/645120 (pow.f64 x 7)) (+.f64 (.f64 -1/48 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 1/3840 (pow.f64 x 5)))))
(fma.f64 -1/645120 (pow.f64 x 7) (fma.f64 -1/48 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 (pow.f64 x 5) 1/3840))))
(fma.f64 (pow.f64 x 7) -1/645120 (fma.f64 (pow.f64 x 3) -1/48 (fma.f64 x 1/2 (*.f64 (pow.f64 x 5) 1/3840))))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 1)
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 1/2)))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(.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) (sin.f64 x))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1)
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(.f64 1 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (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))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
(.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 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (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 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 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))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(.f64 (/.f64 1 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) (/.f64 -1 (sin.f64 x)))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (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 (sqrt.f64 (sin.f64 x))) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (sin.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 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 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 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (/.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))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1)
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(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)
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3) 1/3)
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1)
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(neg.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (neg.f64 (sin.f64 x))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (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))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (.f64 x 1/2))))
(/.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)))
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(/.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 2) (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4))
(/.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 1 (*.f64 (cos.f64 x) (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) 1) 1/2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) 1/2)
(/.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))))
(/.f64 (.f64 1/2 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 x) 1))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1)) 1/2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1)
(fma.f64 -1/2 (cos.f64 x) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) 1/3)
(fma.f64 -1/2 (cos.f64 x) 1/2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(expm1.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x)))))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(exp.f64 (.f64 2 (log.f64 (sin.f64 (.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 2))
(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)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2)))) 1)
(sin.f64 (*.f64 x 1/2))
(.f64 (sin.f64 (.f64 x 1/2)) 1)
(sin.f64 (*.f64 x 1/2))
(.f64 1 (sin.f64 (.f64 x 1/2)))
(sin.f64 (*.f64 x 1/2))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (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 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 x 1/2))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(sin.f64 (*.f64 x 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 2))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 2) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 2)) (cbrt.f64 (sin.f64 (.f64 x 1/2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 1) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 2) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 2)) (cbrt.f64 (sin.f64 (.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 1)
(sin.f64 (*.f64 x 1/2))
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1/2)
(sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 2)
(sin.f64 (*.f64 x 1/2))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3)
(sin.f64 (*.f64 x 1/2))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 1/3)
(sin.f64 (*.f64 x 1/2))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))
(fabs.f64 (sin.f64 (*.f64 x 1/2)))
(sin.f64 (*.f64 x 1/2))
(log.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x 1/2)))))
(sin.f64 (*.f64 x 1/2))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(sin.f64 (*.f64 x 1/2))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 x 1/2))
(exp.f64 (log.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 x 1/2))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1))
(sin.f64 (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 x 1/2))

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 (*.f64 x 1/2))
	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓	0.3b	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
✓	14.1b	(/.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))

rewrite69.0ms (0.9%)

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)))) 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Outputs

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simplify66.0ms (0.8%)

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)
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(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 2)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 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))))
(/.f64 8/3 (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))) (-.f64 1/4 (.f64 (*.f64 1/4 (cos.f64 x)) (cos.f64 x)))))
(.f64 (/.f64 8/3 (fma.f64 1/2 (cos.f64 x) 1/2)) (-.f64 1/4 (.f64 (cos.f64 x) (*.f64 (cos.f64 x) 1/4))))
(.f64 (/.f64 (-.f64 1/4 (.f64 (cos.f64 x) (*.f64 (cos.f64 x) 1/4))) (+.f64 (cos.f64 x) 1)) 16/3)
(/.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 (-.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 x) 3)))) (+.f64 1/4 (.f64 (.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))) (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4))
(.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 8/3 (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4)))
(/.f64 (*.f64 8/3 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(/.f64 (.f64 1 (.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x)))) 2)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(/.f64 (.f64 1 (.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3)) 2)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(/.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 2) 8/3)))
(/.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 8/3 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 8/3 (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))
(/.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 (.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 2) 8/3)))
(/.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 2) 8/3)))
(/.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 8/3 (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))) (-.f64 1/4 (.f64 (*.f64 1/4 (cos.f64 x)) (cos.f64 x)))))
(.f64 (/.f64 8/3 (fma.f64 1/2 (cos.f64 x) 1/2)) (-.f64 1/4 (.f64 (cos.f64 x) (*.f64 (cos.f64 x) 1/4))))
(.f64 (/.f64 (-.f64 1/4 (.f64 (cos.f64 x) (*.f64 (cos.f64 x) 1/4))) (+.f64 (cos.f64 x) 1)) 16/3)
(/.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 8/3 (-.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 x) 3)))) (+.f64 1/4 (.f64 (.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))) (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4))
(.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 8/3 (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4)))
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 8/3) -2)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(/.f64 (.f64 (.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 1) 2)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(/.f64 (.f64 (.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 1) 2)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(pow.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)))
(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)
(-.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)))

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 (*.f64 x 1/2))
✓	0.2b	(.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))
✓	0.4b	(.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2)))
✓	14.1b	(/.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	@	0	(.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	@	-inf	(.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))

rewrite73.0ms (0.9%)

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

simplify71.0ms (0.9%)

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))
(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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(*.f64 4/3 x)
(*.f64 x 4/3)
(+.f64 (.f64 4/3 x) (.f64 -1/18 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 (pow.f64 x 3) -1/18))
(fma.f64 x 4/3 (*.f64 (pow.f64 x 3) -1/18))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(fma.f64 4/3 x (fma.f64 1/1440 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/18)))
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 3) -1/18 (*.f64 (pow.f64 x 5) 1/1440)))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 -1/241920 (pow.f64 x 7)) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (.f64 -1/18 (pow.f64 x 3)))))
(fma.f64 4/3 x (fma.f64 -1/241920 (pow.f64 x 7) (fma.f64 1/1440 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/18))))
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 7) -1/241920 (fma.f64 (pow.f64 x 3) -1/18 (*.f64 (pow.f64 x 5) 1/1440))))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(*.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 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))
(.f64 8/3 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (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 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.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 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 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 (sin.f64 x)) (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 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.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))
(.f64 1 (.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 (/.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)))))
(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)
(.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 (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 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 (.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 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 (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 1 (sin.f64 x)) (.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 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.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 (sqrt.f64 (sin.f64 x))) (.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (pow.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 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 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(.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)) (sin.f64 x)) (.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 (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 (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 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sqrt.f64 (sin.f64 x)) 3/8)) (sqrt.f64 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) 3/8)))
(.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
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(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))

eval374.0ms (4.7%)

Compiler: Compiled 19249 to 13589 computations (29.4% saved)

prune212.0ms (2.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	1033	15	1048
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	1036	15	1051

Error

Counts

1051 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	15.0b	(pow.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 3)
▶	14.2b	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
▶	29.1b	(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
	29.2b	(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
	29.3b	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
▶	29.1b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
	29.1b	(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))
	14.4b	(/.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))) (sin.f64 x))
	46.7b	(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
	0.3b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 8/3))
	33.3b	(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
	14.3b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
	14.3b	(.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
▶	0.3b	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
▶	32.6b	(*.f64 x 2/3)

Compiler

Compiled 346 to 284 computations (17.9% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 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)

rewrite54.0ms (0.7%)

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	17
1	189	17
2	2152	17

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

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)))))))

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

974×	`distribute-lft-in`
916×	`distribute-rgt-in`
888×	`distribute-lft-out`
838×	`*-commutative`
838×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	663
1	159	663
2	416	663
3	2316	663
4	6178	663

Stop Event

1×	node limit

Counts

27 → 32

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 (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)))

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 x (fma.f64 x (.f64 x 1/18) 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 1/180 (pow.f64 x 5))))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(fma.f64 x (fma.f64 x (.f64 x 1/18) 2/3) (.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 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3)))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 1/18) 2/3) (.f64 17/30240 (pow.f64 x 7))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.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 (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 (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 (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 (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 (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 (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 (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 (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 (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)))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (0.6%)

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)))))))

simplify59.0ms (0.7%)

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 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 x) 3/4)
✓	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
✓	1.8b	(-.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	@	0	(-.f64 1 (cos.f64 x))
0.0ms	x	@	inf	(*.f64 (sin.f64 x) 3/4)
0.0ms	x	@	-inf	(*.f64 (sin.f64 x) 3/4)

rewrite79.0ms (1%)

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

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

simplify85.0ms (1.1%)

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

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8)
✓	0.2b	(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
✓	1.8b	(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))

Compiler

Compiled 38 to 25 computations (34.2% saved)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite83.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1348×	`associate-/r*`
1268×	`associate-/l*`
666×	`associate-/l/`
554×	`distribute-rgt-in`
530×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	284	61
2	3621	61

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

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

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

simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

752×	`associate-r`
654×	`associate-l`
606×	`distribute-lft-neg-in`
584×	`+-commutative`
544×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	424	6156
1	1129	5318
2	5862	5300

Stop Event

1×	node limit

Counts

178 → 245

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

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)))
(fma.f64 -1/48 (pow.f64 x 4) (.f64 1/4 (.f64 x x)))
(+.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))))
(fma.f64 1/4 (.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6))))
(+.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)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6)))))
(*.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 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))))
(+.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)))))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (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 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (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 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (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 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (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 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (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 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (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 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (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 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 (.f64 x x) 2/3)
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (.f64 (.f64 x x) 2/3))
(fma.f64 (pow.f64 x 4) -1/18 (.f64 (.f64 x x) 2/3))
(+.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 (pow.f64 x 6) 1/540)))
(fma.f64 (pow.f64 x 4) -1/18 (fma.f64 (.f64 x x) 2/3 (.f64 (pow.f64 x 6) 1/540)))
(+.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 (pow.f64 x 6) 1/540))))
(fma.f64 (pow.f64 x 4) -1/18 (fma.f64 (.f64 x x) 2/3 (fma.f64 (pow.f64 x 6) 1/540 (.f64 (pow.f64 x 8) -1/30240))))
(.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) 1/2)
(+.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) -1/2)
(+.f64 1/2 (expm1.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1)
(fma.f64 -1/2 (cos.f64 x) 1/2)
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 (.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 1/2 (.f64 1/2 (cos.f64 x))))
(/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) -1/4) (fma.f64 -1/2 (cos.f64 x) -1/2))
(-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) -1/2)
(+.f64 1/2 (expm1.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1)
(fma.f64 -1/2 (cos.f64 x) 1/2)
(*.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(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))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(*.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)))
(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 (+.f64 1/4 (.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 1/2 (.f64 1/2 (cos.f64 x))))
(/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) -1/4) (fma.f64 -1/2 (cos.f64 x) -1/2))
(.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 (.f64 -1/4 (cos.f64 x)) 1/4))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (fma.f64 -1/4 (cos.f64 x) -1/4)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (+.f64 1/4 (.f64 (+.f64 (cos.f64 x) 1) (.f64 1/4 (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 1/4 (.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 1/2 (.f64 1/2 (cos.f64 x))))
(/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) -1/4) (fma.f64 -1/2 (cos.f64 x) -1/2))
(.f64 (/.f64 1 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 (.f64 -1/4 (cos.f64 x)) 1/4))) (+.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 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (fma.f64 -1/4 (cos.f64 x) -1/4)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (+.f64 1/4 (.f64 (+.f64 (cos.f64 x) 1) (.f64 1/4 (cos.f64 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))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(.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 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(.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 -1/2 (*.f64 (cos.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))))
(/.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (/.f64 (+.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 x) 3))) (fma.f64 (*.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2) 1/4)))
(.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 1/16 (.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (.f64 (cos.f64 x) -1/4))) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (.f64 (cos.f64 x) -1/4)))))) (+.f64 (+.f64 1/4 (.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) -1/4)))
(.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (-.f64 1/16 (.f64 (.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (+.f64 1/16 (.f64 (.f64 (+.f64 (cos.f64 x) 1) (.f64 1/4 (cos.f64 x))) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) -1/4 -1/4))))) (+.f64 1/4 (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) -1/4 -1/4))))
(.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)))))))
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(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x)) 2))
(fabs.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))
(log.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3))))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3) 3))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3)) 1))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(+.f64 4/3 (.f64 8/3 (.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (.f64 (.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 (.f64 8/3 (.f64 -1/2 (cos.f64 x))) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) 8/3) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3))) 1)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) 1)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 1 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 (sqrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 8/3))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 2))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 2) (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 (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)) 8/3))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 (-.f64 -1/2 (.f64 -1/2 (cos.f64 x))) -8/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 -8/3 (-.f64 -1/2 (.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (/.f64 1 (/.f64 3/8 (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 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) 3/8) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) 8/3) (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1/2 (cos.f64 x) 1/2))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) 8/3) (-.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (.f64 (.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(.f64 (+.f64 1/4 (.f64 -1/2 (.f64 (cos.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))) (/.f64 (+.f64 1/4 (.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) 8/3)))
(.f64 (fma.f64 (.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2) 1/4) (/.f64 (+.f64 1/4 (.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (/.f64 (+.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 x) 3))) 8/3)))
(.f64 (/.f64 (.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) 8/3) (-.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 8/3 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 (+.f64 1/4 (.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (.f64 (cos.f64 x) -1/4))) (-.f64 1/16 (.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (.f64 (cos.f64 x) -1/4))) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (.f64 (cos.f64 x) -1/4))))))
(.f64 (-.f64 1/4 (.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (/.f64 (.f64 8/3 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8)) (-.f64 1/16 (.f64 (.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))))
(.f64 (+.f64 1/4 (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) -1/4 -1/4))) (/.f64 (.f64 8/3 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8)) (+.f64 1/16 (.f64 (.f64 (+.f64 (cos.f64 x) 1) (.f64 1/4 (cos.f64 x))) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) -1/4 -1/4))))))
(.f64 (/.f64 (.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) 8/3) (+.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 1/16 (.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (.f64 (cos.f64 x) -1/4))) (-.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (.f64 (cos.f64 x) -1/4))) 1/4))) (/.f64 (.f64 8/3 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/64 (pow.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 x) -1/4))) 3))))
(/.f64 (.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (fma.f64 (.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 (.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) -1/4) 1/16)) (/.f64 (+.f64 1/64 (pow.f64 (.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) 3)) 8/3))
(/.f64 (.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (fma.f64 (.f64 (+.f64 (cos.f64 x) 1) (.f64 1/4 (cos.f64 x))) (+.f64 -1/4 (.f64 (+.f64 (cos.f64 x) 1) (.f64 1/4 (cos.f64 x)))) 1/16)) (/.f64 (+.f64 1/64 (pow.f64 (.f64 (+.f64 (cos.f64 x) 1) (*.f64 1/4 (cos.f64 x))) 3)) 8/3))
(pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) 1)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 2)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) 3) 1/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(pow.f64 (/.f64 3/8 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(neg.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -3/8))
(/.f64 (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -3/8)
(/.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) -3/8)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 2) 64/9))
(sqrt.f64 (pow.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 2))
(log.f64 (exp.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) 3))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 1))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 (*.f64 x 1/2))
✓	0.2b	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
✓	0.3b	(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
✓	14.1b	(/.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	@	-inf	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
0.0ms	x	@	inf	(/.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)

rewrite78.0ms (1%)

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

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simplify76.0ms (1%)

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))
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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)))

eval265.0ms (3.3%)

Compiler: Compiled 13522 to 9396 computations (30.5% saved)

prune125.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	727	3	730
Fresh	8	2	10
Picked	1	0	1
Done	1	3	4
Total	737	8	745

Error

Counts

745 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
▶	29.3b	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
✓	29.1b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
▶	29.1b	(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))
▶	32.4b	(/.f64 (*.f64 1/4 x) 3/8)
▶	0.2b	(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)
✓	0.3b	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
✓	32.6b	(*.f64 x 2/3)

Compiler

Compiled 111 to 93 computations (16.2% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1874×	`add-sqr-sqrt`
1830×	`*-un-lft-identity`
1726×	`add-cube-cbrt`
1712×	`add-cbrt-cube`
208×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	222	17
2	2703	17

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))))) (#(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 (tan.f64 (*.f64 x 1/2)) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (tan.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 pow.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))))) (#(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)))))))

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

932×	`fma-def`
916×	`associate--r+`
804×	`associate-+r+`
698×	`distribute-lft-in`
692×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	835
1	192	835
2	712	835
3	2180	835
4	6625	835

Stop Event

1×	node limit

Counts

39 → 42

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 0 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))
(-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))) 1)
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1)
(.f64 1 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) -4/3))
(.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3)) (sqrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) -4/3))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3)) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3)) 2) (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))
(.f64 -1 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(.f64 -4/3 (tan.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)
(pow.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))
(sqrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) 16/9))
(log.f64 (exp.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3)))
(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)))

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))))
(fma.f64 x (fma.f64 1/18 (.f64 x x) 2/3) (.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 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 2/3 x (fma.f64 17/30240 (pow.f64 x 7) (*.f64 1/18 (pow.f64 x 3)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.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 (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 (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 (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 (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 (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 (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 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(-.f64 0 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))) 1)
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1)
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(.f64 1 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) -4/3))
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3)) (sqrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) -4/3))
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3)) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2))
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3)) 2) (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(.f64 -1 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 -4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3) 1)
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(pow.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3)) 2)
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3)) 3)
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3) 3) 1/3)
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(pow.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))) -1)
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(neg.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(sqrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) 16/9))
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(log.f64 (exp.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3)))
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(log.f64 (+.f64 1 (expm1.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))))
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3) 3))
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3)))
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(exp.f64 (log.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3)))
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(exp.f64 (.f64 (log.f64 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 1))
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3)))
(.f64 (tan.f64 (.f64 x 1/2)) -4/3)

localize5.0ms (0.1%)

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

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 3/4 (tan.f64 (/.f64 x 2)))
✓	0.2b	(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)

Compiler

Compiled 26 to 21 computations (19.2% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 3/4 (tan.f64 (/.f64 x 2)))
1.0ms	x	@	-inf	(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
1.0ms	x	@	inf	(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
0.0ms	x	@	0	(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
0.0ms	x	@	0	(/.f64 3/4 (tan.f64 (/.f64 x 2)))

rewrite78.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`*-commutative`
870×	`associate-*r/`
626×	`associate-*l/`
578×	`unswap-sqr`
570×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	240	34
2	2752	34

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

Inputs
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
(/.f64 3/4 (tan.f64 (/.f64 x 2)))

Outputs

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

simplify94.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1754×	`associate-/r*`
1674×	`associate-/l*`
1278×	`unswap-sqr`
780×	`associate-/r/`
628×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	392	6616
1	899	5974
2	2771	5974

Stop Event

1×	node limit

Counts

180 → 260

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 3/2 x)
(+.f64 (.f64 -1/8 x) (.f64 3/2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -1/480 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -1/480 (pow.f64 x 3)) (+.f64 (.f64 3/2 (/.f64 1 x)) (.f64 -1/20160 (pow.f64 x 5)))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 1)
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 -1 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(.f64 1 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) -4/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 4/3 (pow.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) -1))
(.f64 -4/3 (neg.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (pow.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) -1) 4/3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) -1))
(.f64 (/.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 1) (sqrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 (/.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 3/4)) (sqrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
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(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))))) (.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) -1/2) (pow.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1/2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3/2))
(.f64 (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/6))
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) -1)
(pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 3/4 (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 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 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 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 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 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 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 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 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 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 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 3/2 x)
(+.f64 (.f64 -1/8 x) (.f64 3/2 (/.f64 1 x)))
(fma.f64 -1/8 x (/.f64 3/2 x))
(fma.f64 x -1/8 (/.f64 3/2 x))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -1/480 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x))))
(fma.f64 -1/8 x (fma.f64 -1/480 (pow.f64 x 3) (/.f64 3/2 x)))
(fma.f64 x -1/8 (fma.f64 (pow.f64 x 3) -1/480 (/.f64 3/2 x)))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -1/480 (pow.f64 x 3)) (+.f64 (.f64 3/2 (/.f64 1 x)) (.f64 -1/20160 (pow.f64 x 5)))))
(fma.f64 -1/8 x (+.f64 (fma.f64 -1/480 (pow.f64 x 3) (/.f64 3/2 x)) (*.f64 (pow.f64 x 5) -1/20160)))
(fma.f64 x -1/8 (fma.f64 (pow.f64 x 3) -1/480 (fma.f64 (pow.f64 x 5) -1/20160 (/.f64 3/2 x))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 (cos.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 (cos.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 (cos.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 (cos.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 (cos.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 (cos.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 (cos.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 (cos.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.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 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 -1 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 1 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) -4/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 4/3 (pow.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) -1))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 -4/3 (neg.f64 (tan.f64 (.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) -1) 4/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) -1))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 1) (sqrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 3/4)) (sqrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 3/4)) (sqrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 1 (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 -3/4)) (sqrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 -3/4)) (sqrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 3/4) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) 3/4) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 4/3 (/.f64 1 (sqrt.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 4/3 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2) 1) (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2) (cbrt.f64 3/4)) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 3/4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2) (cbrt.f64 -3/4)) (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 -3/4)) (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 (.f64 (pow.f64 3/4 -1/2) (pow.f64 3/4 -1/2)) (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (.f64 (pow.f64 1 -1/2) (pow.f64 1 -1/2)) (.f64 (tan.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (.f64 (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) -1/4) (sqrt.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) (.f64 (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) -1/4) (sqrt.f64 (sqrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))
(.f64 (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) -1/4) (.f64 (sqrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (.f64 (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) -1/4) (sqrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))))))
(.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) -1/2))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) -1/2) (sqrt.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) (.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) -1/2) (sqrt.f64 (sqrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) -1/2) (.f64 (sqrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2))))
(.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) -1))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) -1/4)) (.f64 (sqrt.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4)))
(.f64 (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) -1/4) (.f64 (sqrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (.f64 (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) -1/4) (sqrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))))))
(.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) -1/2))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) -1/2) (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) -1/4)) (.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) -1/2) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4)))
(.f64 (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) -1/4) (.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) -1/2) (.f64 (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) -1/4) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2))))
(.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) -1) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/2))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) -1/2)) (.f64 (sqrt.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2)))
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(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(.f64 (.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))))) (.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) -1/2) (pow.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1/2))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3/2))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/6))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) -1)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 2))
(fabs.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(log.f64 (exp.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (cos.f64 x) 3/4)
✓	0.2b	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
✓	1.9b	(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	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))

rewrite84.0ms (1.1%)

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 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/27 (pow.f64 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(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))))))))

simplify108.0ms (1.4%)

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))
✓	0.4b	(/.f64 (sin.f64 x) 8/3)
	1.8b	(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))

Compiler

Compiled 34 to 21 computations (38.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1840×	`associate-*l/`
1380×	`associate-/r*`
1216×	`associate-/l*`
624×	`associate-/r/`
288×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	284	40
2	3636	40

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

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

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1344×	`distribute-lft-in`
1340×	`distribute-rgt-in`
1178×	`associate-/r/`
902×	`associate-/l/`
344×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	3648
1	756	3556
2	2979	3554

Stop Event

1×	node limit

Counts

118 → 151

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

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))
(fma.f64 3/8 x (*.f64 -1/16 (pow.f64 x 3)))
(+.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)))
(fma.f64 1/320 (pow.f64 x 5) (fma.f64 3/8 x (*.f64 -1/16 (pow.f64 x 3))))
(+.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))
(*.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))
(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 x 2/3 (*.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 x 2/3 (*.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 (+.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 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(.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 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(.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 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(.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 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(.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 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(.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 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(.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 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(.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 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(-.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 (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)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)))
(.f64 (cbrt.f64 (.f64 3/8 (sin.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(.f64 (cbrt.f64 (.f64 3/8 (sin.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)))
(*.f64 3/8 (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) -3/8)
(*.f64 3/8 (sin.f64 x))
(.f64 -1 (.f64 (sin.f64 x) -3/8))
(*.f64 3/8 (sin.f64 x))
(*.f64 -3/8 (neg.f64 (sin.f64 x)))
(*.f64 3/8 (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) 1) 3/8)
(*.f64 3/8 (sin.f64 x))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) 3/8)) 1) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 3/8 (sin.f64 x))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 2) 9/64)) 1) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(.f64 (cbrt.f64 (.f64 3/8 (sin.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)))
(*.f64 (/.f64 1 (/.f64 8/3 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 3/8 (sin.f64 x))
(*.f64 (/.f64 1 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 3/8 (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 8/3) (sqrt.f64 (sin.f64 x)))
(*.f64 3/8 (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3) (cbrt.f64 (sin.f64 x)))
(*.f64 3/8 (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(*.f64 3/8 (sin.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(*.f64 3/8 (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(*.f64 3/8 (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(*.f64 3/8 (sin.f64 x))
(pow.f64 (/.f64 8/3 (sin.f64 x)) -1)
(*.f64 3/8 (sin.f64 x))
(neg.f64 (/.f64 (sin.f64 x) -8/3))
(*.f64 3/8 (sin.f64 x))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))
(*.f64 3/8 (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 3/8 (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(*.f64 3/8 (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 3/8 (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 3/8 (sin.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) 3/8)) 1))
(*.f64 3/8 (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 3/8 (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))) 1)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.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 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(.f64 (.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 1)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(.f64 1 (.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(.f64 (sqrt.f64 (.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (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 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 8/3 (sin.f64 x))))
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(.f64 (/.f64 (.f64 (fma.f64 -1/8 (pow.f64 (cos.f64 x) 3) 1/8) (fma.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) 1/4) 1/4)) (+.f64 -1/4 (.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) 1/4) 1/4))) 1/16)) (+.f64 1/64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) 1/4) 1/4)) 3))) (/.f64 8/3 (sin.f64 x)))
(.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (.f64 (sin.f64 x) 3/8))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 -8/3))
(.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (*.f64 3/8 (sin.f64 x))))) (sqrt.f64 -8/3))
(/.f64 (.f64 (sqrt.f64 -8/3) (fma.f64 -1/2 (cos.f64 x) 1/2)) (.f64 (sqrt.f64 (*.f64 3/8 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))))
(.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 -8/3))
(/.f64 (.f64 (cbrt.f64 -8/3) (fma.f64 -1/2 (cos.f64 x) 1/2)) (.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (cbrt.f64 (neg.f64 (sin.f64 x)))))
(.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 -8/3))
(pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 1)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 2)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 3)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 3) 1/3)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8) -1)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(neg.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) -3/8)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.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))
(fabs.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(fabs.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (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 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 3))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (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 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 1))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))

eval347.0ms (4.4%)

Compiler: Compiled 16819 to 12498 computations (25.7% saved)

prune144.0ms (1.8%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	812	4	816
Fresh	0	0	0
Picked	0	1	1
Done	2	5	7
Total	814	10	824

Error

Counts

824 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.6b	(pow.f64 (/.f64 3/2 x) -1)
✓	29.3b	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
✓	29.1b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
✓	29.1b	(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))
✓	32.4b	(/.f64 (*.f64 1/4 x) 3/8)
▶	0.2b	(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
▶	0.4b	(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
▶	0.3b	(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
✓	0.3b	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
✓	32.6b	(*.f64 x 2/3)

Compiler

Compiled 80 to 67 computations (16.3% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
✓	0.2b	(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite72.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`*-commutative`
834×	`associate-*r/`
596×	`associate-/r*`
552×	`associate-*l/`
542×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	230	34
2	2630	34

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

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

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

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1210×	`associate-/l*`
890×	`*-commutative`
874×	`distribute-lft-in`
818×	`distribute-rgt-in`
800×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	3740
1	705	3570
2	2351	3556

Stop Event

1×	node limit

Counts

144 → 169

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 3/2 x)
(+.f64 (.f64 -1/8 x) (.f64 3/2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -1/480 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -1/480 (pow.f64 x 3)) (+.f64 (.f64 3/2 (/.f64 1 x)) (.f64 -1/20160 (pow.f64 x 5)))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(+.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 1)
(.f64 1 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 4/3))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 1 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) 4/3))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (/.f64 1 (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 4/3 (pow.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) -1))
(.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) -4/3)
(.f64 -1 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (.f64 3/4 (cos.f64 (.f64 x 1/2)))))
(.f64 (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 4/3) (sqrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) 4/3) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (/.f64 1 (cos.f64 (.f64 x 1/2))))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) -4/3) -1)
(.f64 -4/3 (neg.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (pow.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) -1) 4/3)
(.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) -1) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) -1))
(.f64 (/.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 1) (sqrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 (/.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 3/4)) (sqrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 -3/4)) (sqrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 3/4) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) 3/4) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (/.f64 4/3 (/.f64 1 (sqrt.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (/.f64 4/3 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2) 1) (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2) (cbrt.f64 3/4)) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2) (cbrt.f64 -3/4)) (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) (.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2)) (cbrt.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2)) (cbrt.f64 (sqrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 3/2) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) 3) 1/6) (pow.f64 (pow.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/6))
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1)
(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 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -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)
(neg.f64 (.f64 (tan.f64 (.f64 x 1/2)) -4/3))
(sqrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) 16/9))
(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)))
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(+.f64 (exp.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) -1)
(-.f64 0 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) 1)
(.f64 1 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))
(.f64 3/4 (/.f64 1 (tan.f64 (.f64 x 1/2))))
(.f64 3/4 (neg.f64 (/.f64 -1 (tan.f64 (.f64 x 1/2)))))
(.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) 1)
(.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) 3/4)
(.f64 -3/4 (/.f64 -1 (tan.f64 (.f64 x 1/2))))
(.f64 -1 (/.f64 -3/4 (tan.f64 (.f64 x 1/2))))
(.f64 (/.f64 -3/4 (tan.f64 (.f64 x 1/2))) -1)
(.f64 (cos.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (/.f64 -3/4 (tan.f64 (.f64 x 1/2)))) (neg.f64 (sqrt.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))))))
(.f64 (.f64 (cbrt.f64 (/.f64 -3/4 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (/.f64 -3/4 (tan.f64 (.f64 x 1/2))))) (neg.f64 (cbrt.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) (.f64 3/4 (cos.f64 (.f64 x 1/2))))
(.f64 (neg.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (neg.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2)) (neg.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 -1 (tan.f64 (.f64 x 1/2))) -3/4)
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2)) (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 1) (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2) 1) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 3/4 (neg.f64 (sin.f64 (.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 -3/4 (neg.f64 (sin.f64 (.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (.f64 4/3 (sin.f64 (.f64 x 1/2)))) (cos.f64 (.f64 x 1/2)))
(.f64 (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2) -1) (cbrt.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(.f64 (neg.f64 (sqrt.f64 (/.f64 -3/4 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 -3/4 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (/.f64 -3/4 (tan.f64 (.f64 x 1/2)))))) (cbrt.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2)))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))))) (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))))) (.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) -1/2) (pow.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1/2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3/2))
(.f64 (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/6))
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) -1)
(pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(neg.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))))
(sqrt.f64 (.f64 9/16 (pow.f64 (tan.f64 (.f64 x 1/2)) -2)))
(log.f64 (exp.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 3/4 (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))
(+.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 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 3/2 x)
(+.f64 (.f64 -1/8 x) (.f64 3/2 (/.f64 1 x)))
(fma.f64 -1/8 x (/.f64 3/2 x))
(fma.f64 x -1/8 (/.f64 3/2 x))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -1/480 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x))))
(fma.f64 -1/8 x (fma.f64 -1/480 (pow.f64 x 3) (/.f64 3/2 x)))
(fma.f64 x -1/8 (fma.f64 (pow.f64 x 3) -1/480 (/.f64 3/2 x)))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -1/480 (pow.f64 x 3)) (+.f64 (.f64 3/2 (/.f64 1 x)) (.f64 -1/20160 (pow.f64 x 5)))))
(fma.f64 -1/8 x (+.f64 (fma.f64 -1/480 (pow.f64 x 3) (/.f64 3/2 x)) (*.f64 (pow.f64 x 5) -1/20160)))
(fma.f64 x -1/8 (fma.f64 (pow.f64 x 3) -1/480 (fma.f64 (pow.f64 x 5) -1/20160 (/.f64 3/2 x))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 (cos.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(.f64 (cos.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
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(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) 2)) (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)))
(/.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))
(.f64 (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 1) (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2) 1) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(.f64 (/.f64 3/4 (neg.f64 (sin.f64 (.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(.f64 (cos.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 -3/4 (neg.f64 (sin.f64 (.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(.f64 (cos.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1 (.f64 4/3 (sin.f64 (.f64 x 1/2)))) (cos.f64 (.f64 x 1/2)))
(.f64 (cos.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (/.f64 -3/4 (tan.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 -1)))
(/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -3/4 (tan.f64 (.f64 x 1/2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2) -1) (cbrt.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (/.f64 -3/4 (tan.f64 (.f64 x 1/2)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) -1))
(.f64 (cbrt.f64 (/.f64 -3/4 (tan.f64 (.f64 x 1/2)))) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)))
(.f64 (/.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 3/4 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (/.f64 3/4 (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 3/4 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (/.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (neg.f64 (sqrt.f64 (/.f64 -3/4 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 -3/4 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (/.f64 -3/4 (tan.f64 (.f64 x 1/2)))))) (cbrt.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))))) (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(.f64 (.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))))) (.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) -1/2) (pow.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1/2))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3/2))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/6))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3) -1)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (.f64 9/16 (pow.f64 (tan.f64 (.f64 x 1/2)) -2)))
(fabs.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))))
(log.f64 (exp.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (tan.f64 (*.f64 x 1/2)))
✓	0.4b	(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`*-commutative`
790×	`associate-*r/`
710×	`times-frac`
548×	`unswap-sqr`
512×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	229	34
2	2650	34

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 4/3 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 4/3 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (neg.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4/3 (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 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))) (*.f64 4/3 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 1) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))) 1) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))) -1) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 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simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1330×	`associate-*r/`
1194×	`unswap-sqr`
1076×	`*-commutative`
898×	`associate-/r*`
716×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	334	5037
1	841	4659
2	2563	4659

Stop Event

1×	node limit

Counts

145 → 182

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)))))
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(.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))) (/.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) -2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (tan.f64 (*.f64 x 1/2)) -1)
(neg.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (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 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 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.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 (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 (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 (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 (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 (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 (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 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 2 x)
(+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/6 x (/.f64 2 x))
(fma.f64 x -1/6 (/.f64 2 x))
(+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/360 (pow.f64 x 3) (fma.f64 -1/6 x (/.f64 2 x)))
(fma.f64 (pow.f64 x 3) -1/360 (fma.f64 x -1/6 (/.f64 2 x)))
(+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5)))))
(fma.f64 -1/360 (pow.f64 x 3) (+.f64 (fma.f64 -1/6 x (/.f64 2 x)) (*.f64 (pow.f64 x 5) -1/15120)))
(fma.f64 (pow.f64 x 3) -1/360 (fma.f64 x -1/6 (fma.f64 (pow.f64 x 5) -1/15120 (/.f64 2 x))))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x)))
(/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))
(+.f64 (exp.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) -1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 1 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 4/3 (sqrt.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 4/3 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 -1 (neg.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 -1 (/.f64 1 (neg.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) -4/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 -4/3 (neg.f64 (tan.f64 (.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (.f64 4/3 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))) (/.f64 1 (cos.f64 (.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (.f64 4/3 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))))
(.f64 4/3 (/.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))))
(/.f64 (.f64 4/3 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2)))
(.f64 (/.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))))
(.f64 4/3 (/.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))))
(/.f64 (.f64 4/3 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2))) (.f64 4/3 (cbrt.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))))
(.f64 4/3 (/.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))))
(/.f64 (.f64 4/3 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2)))
(.f64 (/.f64 (.f64 4/3 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) 1) (sqrt.f64 (tan.f64 (.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 (/.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2))) 1) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))))
(.f64 4/3 (/.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))))
(/.f64 (.f64 4/3 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2)))
(.f64 (/.f64 (.f64 4/3 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 (/.f64 4/3 (/.f64 (sqrt.f64 -1) (sqrt.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) 4/3) (/.f64 (sqrt.f64 -1) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 4/3 (sqrt.f64 -1))) (sqrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (/.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2))) -1) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 4/3 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2)))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 -4/3 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))))
(.f64 (.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))) (.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3/2) (pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3/2))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3) 1/6))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (/.f64 3/4 (tan.f64 (.f64 x 1/2))) -1/2) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/2))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 4/3 (.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (sqrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 2)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (cbrt.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))) 3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3) 1/3)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1)
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(neg.f64 (.f64 -4/3 (tan.f64 (.f64 x 1/2))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(sqrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) 16/9))
(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 4/3 (tan.f64 (.f64 x 1/2))))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(cbrt.f64 (pow.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2))) 3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(expm1.f64 (log1p.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(exp.f64 (log.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(log1p.f64 (expm1.f64 (.f64 4/3 (tan.f64 (.f64 x 1/2)))))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(+.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) -1)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(-.f64 0 (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) 1)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(-.f64 (/.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) 1) 1)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(.f64 1 (/.f64 1 (tan.f64 (.f64 x 1/2))))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) 1)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -1/2) (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -1/2) (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
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(/.f64 (/.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -1/2) (sqrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (fabs.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2))) 1) (/.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2))) (/.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2))) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2)))) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))))))
(.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2))) (sqrt.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))))) (/.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))) (/.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) -2))) (fabs.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (/.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) -2)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2) 2)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 1 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) -1)
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`add-sqr-sqrt`
1712×	`*-un-lft-identity`
1608×	`add-cube-cbrt`
1594×	`add-cbrt-cube`
176×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	189	17
2	2157	17

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

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

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1804×	`distribute-lft-in`
1540×	`associate-r`
1286×	`associate-l`
890×	`associate-+r+`
784×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	883
1	191	883
2	634	877
3	4095	877

Stop Event

1×	node limit

Counts

37 → 41

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 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 1)
(.f64 (tan.f64 (.f64 x 1/2)) 4/3)
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(.f64 1 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 4/3))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)) (cbrt.f64 (.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) 16/9)) (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 4/3))
(.f64 4/3 (tan.f64 (.f64 x 1/2)))
(.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) -4/3)
(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)
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -3/4))
(sqrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2) 16/9))
(log.f64 (exp.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3)))
(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)))

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (/.f64 3/2 x) -1)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1342×	`add-sqr-sqrt`
1302×	`*-un-lft-identity`
1234×	`add-cube-cbrt`
1224×	`add-cbrt-cube`
1212×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	152	7
2	1732	7

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1548×	`associate-/r*`
1186×	`associate-/l/`
870×	`unswap-sqr`
628×	`associate-/r/`
612×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	352
1	143	352
2	377	352
3	1693	352

Stop Event

1×	node limit

Counts

40 → 32

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 1 (*.f64 x 2/3)) 1)
(*.f64 x 2/3)
(.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 (cbrt.f64 (.f64 x 2/3)) (cbrt.f64 (pow.f64 (/.f64 3/2 x) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 3/2 x) -2)) (cbrt.f64 (.f64 x 2/3)))
(*.f64 2/3 x)
(*.f64 2/3 (pow.f64 (/.f64 1 x) -1))
(*.f64 -2/3 (neg.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 3/2 x)) -1) (pow.f64 (sqrt.f64 (/.f64 3/2 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/2 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 3/2 x)) -1))
(/.f64 x 3/2)
(/.f64 -1 (neg.f64 (/.f64 3/2 x)))
(/.f64 1 (/.f64 3/2 x))
(/.f64 1 (/.f64 (/.f64 3/2 x) 1))
(/.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (/.f64 3/2 x)))
(/.f64 (sqrt.f64 x) (/.f64 3/2 (sqrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 3/2 (cbrt.f64 x)))
(/.f64 (neg.f64 x) -3/2)
(/.f64 2/3 (/.f64 1 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3/2 x)) 2)) (cbrt.f64 (/.f64 3/2 x)))
(sqrt.f64 (pow.f64 (/.f64 3/2 x) -2))
(log.f64 (exp.f64 (*.f64 x 2/3)))
(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 1 (*.f64 x 2/3)) 1)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.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 (cbrt.f64 (.f64 x 2/3)) (cbrt.f64 (pow.f64 (/.f64 3/2 x) -2)))
(.f64 (cbrt.f64 (.f64 2/3 x)) (cbrt.f64 (pow.f64 (/.f64 3/2 x) -2)))
(.f64 (cbrt.f64 (.f64 2/3 x)) (cbrt.f64 (.f64 4/9 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 2/3 x)) (cbrt.f64 (.f64 x (.f64 x 4/9))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 3/2 x) -2)) (cbrt.f64 (.f64 x 2/3)))
(.f64 (cbrt.f64 (.f64 2/3 x)) (cbrt.f64 (pow.f64 (/.f64 3/2 x) -2)))
(.f64 (cbrt.f64 (.f64 2/3 x)) (cbrt.f64 (.f64 4/9 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 2/3 x)) (cbrt.f64 (.f64 x (.f64 x 4/9))))
(*.f64 2/3 x)
(*.f64 2/3 (pow.f64 (/.f64 1 x) -1))
(*.f64 2/3 x)
(*.f64 -2/3 (neg.f64 x))
(*.f64 2/3 x)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 3/2 x)) -1) (pow.f64 (sqrt.f64 (/.f64 3/2 x)) -1))
(*.f64 2/3 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/2 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 3/2 x)) -1))
(*.f64 2/3 x)
(/.f64 x 3/2)
(*.f64 2/3 x)
(/.f64 -1 (neg.f64 (/.f64 3/2 x)))
(*.f64 2/3 x)
(/.f64 1 (/.f64 3/2 x))
(*.f64 2/3 x)
(/.f64 1 (/.f64 (/.f64 3/2 x) 1))
(*.f64 2/3 x)
(/.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (/.f64 3/2 x)))
(/.f64 (sqrt.f64 (*.f64 2/3 x)) (sqrt.f64 (/.f64 3/2 x)))
(/.f64 (sqrt.f64 x) (/.f64 3/2 (sqrt.f64 x)))
(*.f64 2/3 x)
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 3/2 (cbrt.f64 x)))
(*.f64 2/3 x)
(/.f64 (neg.f64 x) -3/2)
(*.f64 2/3 x)
(/.f64 2/3 (/.f64 1 x))
(*.f64 2/3 x)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3/2 x)) 2)) (cbrt.f64 (/.f64 3/2 x)))
(*.f64 2/3 x)
(sqrt.f64 (pow.f64 (/.f64 3/2 x) -2))
(*.f64 2/3 x)
(log.f64 (exp.f64 (*.f64 x 2/3)))
(*.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)

eval161.0ms (2%)

Compiler: Compiled 6604 to 5724 computations (13.3% saved)

prune59.0ms (0.7%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	418	6	424
Fresh	0	0	0
Picked	1	0	1
Done	1	8	9
Total	420	14	434

Error

Counts

434 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.3b	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
✓	29.1b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
✓	29.1b	(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))
✓	0.2b	(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
	32.4b	(/.f64 x 3/2)
	32.6b	(/.f64 4/3 (/.f64 2 x))
✓	0.4b	(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
	32.5b	(/.f64 4/3 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
	32.6b	(/.f64 1 (/.f64 3/2 x))
✓	0.3b	(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
	32.5b	(/.f64 1 (+.f64 (.f64 -1/8 x) (.f64 3/2 (/.f64 1 x))))
	0.4b	(/.f64 1 (.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) 3/4))
✓	0.3b	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
✓	32.6b	(*.f64 x 2/3)

Compiler

Compiled 119 to 100 computations (16% saved)

regimes38.0ms (0.5%)

Counts

31 → 1

Calls

Call 1

Inputs
(*.f64 x 2/3)
(/.f64 x 3/2)
(/.f64 1 (/.f64 3/2 x))
(/.f64 4/3 (/.f64 2 x))
(/.f64 (*.f64 1/4 x) 3/8)
(/.f64 1 (+.f64 (.f64 -1/8 x) (.f64 3/2 (/.f64 1 x))))
(/.f64 4/3 (+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x))))
(pow.f64 (/.f64 3/2 x) -1)
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(/.f64 1 (.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) 3/4))
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
(/.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 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))) 3/8) (sin.f64 x))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(.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 (.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 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 8/3))
(/.f64 (.f64 8/3 (.f64 (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)) (/.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))
(pow.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 3)

Outputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)

Calls

2 calls:

16.0ms	x
13.0ms	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

Results

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

Compiler

Compiled 314 to 237 computations (24.5% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.3b	1	`x`

Compiler

Compiled 57 to 45 computations (21.1% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.8b remaining (-2.6%)

Threshold costs -0.8b (-2.6%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(/.f64 x 3/2)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
32.4b	1	`x`

Compiler

Compiled 51 to 40 computations (21.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	21	48

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 x 3/2)
(*.f64 x 2/3)

Compiler

Compiled 22 to 18 computations (18.2% saved)

soundness104.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

1018×	`associate-/l/`
896×	`associate-r`
858×	`associate-/r*`
840×	`times-frac`
702×	`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	748	11162
1	1853	9904
2	7975	9904

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 135 to 98 computations (27.4% saved)

end26.0ms (0.3%)

Compiler: Compiled 19 to 15 computations (21.1% saved)