Details

analyze384.0ms (3.8%)

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)

sample3.1s (30.8%)

Results

1.4s	2060×	body	1024	valid
1.2s	5155×	body	256	valid
451.0ms	1030×	body	512	valid
12.0ms	11×	body	2048	valid

Bogosity

preprocess7.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (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

19.26%

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.59%	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
▶	19.54%	(/.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
▶	19.53%	(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)) 8/3)

Status

Error

Program

▶

19.59%

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

▶

19.54%

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

▶

19.53%

(*.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 (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(sin.f64 x)
✓	0.37%	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓	0.65%	(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 x)) 8/3)
✓	19.07%	(/.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 → 40

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)

rewrite99.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	82
1	257	82
2	3402	80

Stop Event

1×	node limit

Counts

4 → 282

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 x)

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

simplify154.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1010×	`associate-/r*`
1004×	`associate-/l/`
680×	`associate-r`
662×	`associate-/r/`
626×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	737	11290
1	1834	10022
2	7151	10022

Stop Event

1×	node limit

Counts

322 → 416

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)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 1)
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1)
(.f64 1 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 1 (sin.f64 x))))
(.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
(.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) (/.f64 -1 (sin.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1)
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 8/3))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) 8/3) 1))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)
(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
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(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 1 (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 8/3 (+.f64 -1/2 (.f64 1/2 (cos.f64 x)))) 1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (.f64 8/3 (+.f64 -1/2 (.f64 1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 8/3 (+.f64 -1/2 (.f64 1/2 (cos.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 8/3 (+.f64 -1/2 (.f64 1/2 (cos.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 8/3 (+.f64 -1/2 (.f64 1/2 (cos.f64 x)))) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 8/3 (+.f64 -1/2 (.f64 1/2 (cos.f64 x)))) -1) (sin.f64 x))
(/.f64 (/.f64 (.f64 8/3 (+.f64 -1/2 (.f64 1/2 (cos.f64 x)))) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (.f64 8/3 (+.f64 -1/2 (.f64 1/2 (cos.f64 x)))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) 8/3) 1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) 8/3) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) 8/3) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) 8/3) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) 8/3) -1) (sin.f64 x))
(/.f64 (/.f64 (.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) 8/3) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (.f64 (+.f64 -1/2 (.f64 1/2 (cos.f64 x))) 8/3) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) 1) (sin.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 1) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) -1) (sin.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)
(pow.f64 (.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 x))))
(+.f64 (*.f64 -1/2 (cos.f64 x)) 1/2)
(+.f64 (neg.f64 (*.f64 1/2 (cos.f64 x))) 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (exp.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x))))) 1)
(-.f64 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 (.f64 x 1/2))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1)
(/.f64 1 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (/.f64 1 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 2)
(/.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (/.f64 2 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (/.f64 2 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) -2)
(/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (+.f64 1/2 (.f64 1/2 (cos.f64 x))))
(/.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 x)) 3)) (+.f64 (+.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 1) 2)
(/.f64 -2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 0 x) 2)) (sin.f64 (/.f64 (+.f64 x 0) 2)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 1 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x))))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (.f64 1 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 x)) 3))) (+.f64 (+.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (sin.f64 (.f64 x 1/2))) (sqrt.f64 2))
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 1) -2)
(/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) 1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 x)) 3)) 1) (+.f64 (+.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 x) (cos.f64 x))) 1/2) (+.f64 (cos.f64 0) (cos.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 x) 3)) 1/2) (+.f64 (+.f64 (.f64 (cos.f64 0) (cos.f64 0)) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (cos.f64 0) (cos.f64 x))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3))
(expm1.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x)))))
(exp.f64 (.f64 2 (log.f64 (sin.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(*.f64 (sin.f64 x) 1)
(*.f64 1 (sin.f64 x))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) 1)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))
(log1p.f64 (expm1.f64 (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))
(+.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))
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(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (sin.f64 (.f64 x 1/2))) (sqrt.f64 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 1) -2)
(fma.f64 -1/2 (cos.f64 x) 1/2)
(/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) 1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (-.f64 1/4 (.f64 1/4 (.f64 (cos.f64 x) (cos.f64 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (+.f64 1/4 (.f64 -1/4 (.f64 (cos.f64 x) (cos.f64 x)))) (fma.f64 1/2 (cos.f64 x) 1/2))
(/.f64 (.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 x)) 3)) 1) (+.f64 (+.f64 1/4 (.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 (-.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 x) 3))) (+.f64 1/4 (+.f64 (.f64 1/4 (.f64 (cos.f64 x) (cos.f64 x))) (.f64 1/4 (cos.f64 x)))))
(/.f64 (+.f64 1/8 (.f64 -1/8 (pow.f64 (cos.f64 x) 3))) (+.f64 1/4 (.f64 1/4 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 2)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))
(/.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)) (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 x) (cos.f64 x))) 1/2) (+.f64 (cos.f64 0) (cos.f64 x)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) 1) 1/2))
(/.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) 1))
(/.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 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.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 (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 x))) 1)
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 1 (sin.f64 x))
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(fabs.f64 (sin.f64 x))
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))
(sin.f64 x)
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 x)
	0.37%	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓	0.44%	(.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
✓	19.23%	(/.f64 (.f64 8/3 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

Compiler

Compiled 47 to 35 computations (25.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

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

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simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

98 → 157

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 x)
✓	0.4%	(.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))
✓	0.6%	(.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2)))
✓	19.23%	(/.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	@	inf	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
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))

rewrite74.0ms (0.7%)

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

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

124 → 155

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 -1/18 (pow.f64 x 3)))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 -1/241920 (pow.f64 x 7)) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (.f64 -1/18 (pow.f64 x 3)))))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) 1)
(.f64 8/3 (.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
(.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)
(.f64 1 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) (.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 -1 (sin.f64 x)) (.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(.f64 (/.f64 8/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 8/3) (/.f64 1 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) 1) (/.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)) (sin.f64 x)) (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2)))) (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 64/9)) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 1)
(pow.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) -1)
(neg.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2))
(log.f64 (exp.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(exp.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) 1)
(pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 64/9))
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) 1)
(/.f64 (.f64 8/3 (-.f64 (cos.f64 (-.f64 (.f64 x 1/2) (.f64 x 1/2))) (cos.f64 (.f64 2 (*.f64 x 1/2))))) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 x 1/2) (.f64 x 1/2))) (cos.f64 (.f64 2 (*.f64 x 1/2)))) 8/3) 2)
(pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 1)
(pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 3)
(pow.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 2))
(log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))))
(cbrt.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3) (pow.f64 (sin.f64 (.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(exp.f64 (log.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(exp.f64 (.f64 (log.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(log1p.f64 (expm1.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))

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

eval303.0ms (3%)

Compiler: Compiled 15733 to 10905 computations (30.7% saved)

prune173.0ms (1.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	858	21	879
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	861	21	882

Error

Counts

882 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	19.62%	(/.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 2) (sin.f64 x))
	19.55%	(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
	19.27%	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
	46.65%	(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) -3/4) (sin.f64 x))
▶	46.93%	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
	46.68%	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
	19.67%	(/.f64 (.f64 (log1p.f64 (expm1.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
	19.54%	(/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))
	46.72%	(/.f64 (.f64 8/3 (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))) (sin.f64 x))
	68.49%	(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
	46.67%	(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
▶	46.64%	(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
	50.03%	(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
	19.66%	(.f64 (/.f64 (/.f64 (.f64 1/2 (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) 1)) (sin.f64 x)) 8/3)
▶	0.5%	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
	46.69%	(.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
▶	46.75%	(.f64 (.f64 (/.f64 1 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 8/3)
	46.78%	(.f64 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x)))
	0.65%	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
▶	49.3%	(*.f64 x 2/3)
	45.93%	(log.f64 (exp.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))

Compiler

Compiled 506 to 416 computations (17.8% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 x)
✓	0.2%	(/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)
✓	0.24%	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
✓	0.27%	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))

Compiler

Compiled 40 to 28 computations (30% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite101.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 266

Calls

Call 1

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

Outputs

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

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

simplify121.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	686	14178
1	1810	14104

Stop Event

1×	node limit

Counts

302 → 408

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 5/768 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 61/92160 (pow.f64 x 6)) (+.f64 (.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 -1/18 (pow.f64 x 3)))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 -1/241920 (pow.f64 x 7)) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (.f64 -1/18 (pow.f64 x 3)))))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 1)
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) 1))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 1))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 x) -3/8) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1)
(/.f64 1 (.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 3/8))
(/.f64 1 (/.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) -3/8) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 1 (/.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 3/8 (.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (sin.f64 (.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (.f64 (sin.f64 x) 3/8) (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 8/3)))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 x) 3/8) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) -3/8) (neg.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))))))
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(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 2)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3) 1/3)
(pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))
(neg.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) -3/8) 1))
(neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3))
(neg.f64 (.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) -3/8)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(sqrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))
(log.f64 (exp.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (.f64 1/16 (.f64 x x)))
(+.f64 1/2 (.f64 x (.f64 x 1/16)))
(+.f64 1/2 (+.f64 (.f64 5/768 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (fma.f64 5/768 (pow.f64 x 4) (.f64 1/16 (.f64 x x))))
(+.f64 1/2 (fma.f64 5/768 (pow.f64 x 4) (.f64 x (.f64 x 1/16))))
(+.f64 1/2 (+.f64 (.f64 61/92160 (pow.f64 x 6)) (+.f64 (.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 1/2 (fma.f64 61/92160 (pow.f64 x 6) (fma.f64 5/768 (pow.f64 x 4) (.f64 1/16 (.f64 x x)))))
(+.f64 1/2 (fma.f64 61/92160 (pow.f64 x 6) (fma.f64 5/768 (pow.f64 x 4) (.f64 x (.f64 x 1/16)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(*.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))
(+.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)))
(+.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))))
(.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 (exp.f64 (log1p.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 1)
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(.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 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) 1))
(.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 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1))
(.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 (.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 1))
(.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 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (/.f64 1 (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 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 x) -3/8) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(.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 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 3/8 (sin.f64 (.f64 x 1/2))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(.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 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1)
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(/.f64 1 (.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) 3/8))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(/.f64 1 (/.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))))
(.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 1 (/.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))))
(.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 1 (/.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(.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 1 (/.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) -3/8) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(.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 1 (/.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 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 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(.f64 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 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(.f64 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 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (/.f64 3/8 (.f64 (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (sin.f64 (.f64 x 1/2)))))
(.f64 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 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (.f64 (sin.f64 x) 3/8) (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8)))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8)))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8)))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8)))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 3/8 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8)))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 8/3)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8)))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 x) 3/8) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8)))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 x) 3/8)))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) -3/8) (neg.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 3/8 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
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(.f64 (sqrt.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (.f64 64/9 (.f64 -1/2 (cos.f64 x)))))) (.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (.f64 64/9 (.f64 -1/2 (cos.f64 x)))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))))))))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 1)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 2)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 3)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3) 1/3)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -1)
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(neg.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) -3/8) 1))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) -8/3))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(neg.f64 (.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) -3/8)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(sqrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 64/9))
(sqrt.f64 (+.f64 32/9 (.f64 64/9 (.f64 -1/2 (cos.f64 x)))))
(log.f64 (exp.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.46%	(*.f64 x 2/3)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 x 2/3)

Outputs

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

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

23 → 12

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 x)
✓	0.19%	(/.f64 (cos.f64 x) 3/4)
✓	0.27%	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
✓	2.58%	(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite85.0ms (0.8%)

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

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

simplify108.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

192 → 253

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
4/3
(+.f64 4/3 (*.f64 -2/3 (pow.f64 x 2)))
(+.f64 4/3 (+.f64 (.f64 1/18 (pow.f64 x 4)) (.f64 -2/3 (pow.f64 x 2))))
(+.f64 4/3 (+.f64 (.f64 -1/540 (pow.f64 x 6)) (+.f64 (.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2)))))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(+.f64 (*.f64 (cos.f64 x) -4/3) 4/3)
(+.f64 (-.f64 4/3 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))) 1)
(.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) 1)
(.f64 1 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)))
(.f64 (sqrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) 2) (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)) (/.f64 1 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))
(.f64 (/.f64 1 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))
(.f64 (/.f64 1 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))) (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)))
(.f64 (/.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (+.f64 4/3 (.f64 (cos.f64 x) -4/3)))
(.f64 (/.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) (+.f64 16/9 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x)))))
(.f64 (/.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)) (-.f64 256/81 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x)))))) (-.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (*.f64 16/9 (cos.f64 x))))
(.f64 (/.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)) (+.f64 4096/729 (pow.f64 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))) 3))) (-.f64 (+.f64 256/81 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))))) (.f64 16/9 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))))))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1)
(/.f64 1 (/.f64 1 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(/.f64 (sqrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (/.f64 1 (sqrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)))))
(/.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3))) 2) (/.f64 1 (cbrt.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)))))
(/.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (/.f64 1 (+.f64 4/3 (.f64 4/3 (cos.f64 x))))))
(/.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)) (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))
(/.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)) (/.f64 1 (/.f64 1 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)))))
(/.f64 (sqrt.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) (/.f64 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)) (sqrt.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)))))
(/.f64 (sqrt.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (/.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (sqrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) (cbrt.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)))) (/.f64 (+.f64 (.f64 16/9 (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9)) (cbrt.f64 (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (cbrt.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9)))) (/.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x))) (cbrt.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))))
(/.f64 (neg.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (neg.f64 (+.f64 4/3 (.f64 4/3 (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (.f64 1 (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))))
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(*.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)
(-.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 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
4/3
(+.f64 4/3 (*.f64 -2/3 (pow.f64 x 2)))
(+.f64 4/3 (.f64 (.f64 x x) -2/3))
(fma.f64 (*.f64 x x) -2/3 4/3)
(+.f64 4/3 (+.f64 (.f64 1/18 (pow.f64 x 4)) (.f64 -2/3 (pow.f64 x 2))))
(+.f64 4/3 (fma.f64 1/18 (pow.f64 x 4) (.f64 (.f64 x x) -2/3)))
(+.f64 (fma.f64 (.f64 x x) -2/3 4/3) (.f64 (pow.f64 x 4) 1/18))
(+.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 (fma.f64 -1/540 (pow.f64 x 6) (fma.f64 1/18 (pow.f64 x 4) (.f64 (.f64 x x) -2/3))))
(+.f64 (fma.f64 (pow.f64 x 6) -1/540 (.f64 (pow.f64 x 4) 1/18)) (fma.f64 (.f64 x x) -2/3 4/3))
(+.f64 (fma.f64 (.f64 x x) -2/3 4/3) (fma.f64 (pow.f64 x 6) -1/540 (.f64 (pow.f64 x 4) 1/18)))
(*.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))
(fma.f64 (cos.f64 x) -4/3 4/3)
(+.f64 (*.f64 (cos.f64 x) -4/3) 4/3)
(fma.f64 (cos.f64 x) -4/3 4/3)
(+.f64 (-.f64 4/3 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))) 1)
(fma.f64 (cos.f64 x) -4/3 4/3)
(.f64 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)) 1)
(fma.f64 (cos.f64 x) -4/3 4/3)
(.f64 1 (+.f64 4/3 (.f64 (cos.f64 x) -4/3)))
(fma.f64 (cos.f64 x) -4/3 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))))
(fma.f64 (cos.f64 x) -4/3 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))
(fma.f64 (cos.f64 x) -4/3 4/3)
(.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))))
(fma.f64 (cos.f64 x) -4/3 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 16/9 (.f64 16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(.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 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))) (fma.f64 16/9 (cos.f64 x) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 16/9)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 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 16/9 (.f64 16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(.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 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))) (fma.f64 16/9 (cos.f64 x) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 16/9)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9))
(.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)))
(fma.f64 (cos.f64 x) -4/3 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 16/9 (.f64 16/9 (pow.f64 (cos.f64 x) 2))) (-.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 16/9) (.f64 (cos.f64 x) 16/9))) (+.f64 64/27 (.f64 64/27 (pow.f64 (cos.f64 x) 3))))
(.f64 (/.f64 (+.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 64/27 (pow.f64 (cos.f64 x) 3) 64/27)) (*.f64 16/9 (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))
(.f64 (/.f64 (+.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 64/27 (pow.f64 (cos.f64 x) 3) 64/27)) (+.f64 16/9 (.f64 16/9 (.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1)))))
(.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 (.f64 64/27 (pow.f64 (cos.f64 x) 3))) (-.f64 256/81 (.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (.f64 (cos.f64 x) 16/9)) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (.f64 (cos.f64 x) 16/9))))) (-.f64 16/9 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (.f64 (cos.f64 x) 16/9))))
(.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (-.f64 256/81 (.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) 16/9) 16/9)) (.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) 16/9) 16/9))))) (-.f64 16/9 (.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) 16/9) 16/9))))
(.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (-.f64 256/81 (.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) 256/81) 256/81)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) -16/9) 16/9))))
(.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 (-.f64 64/27 (.f64 64/27 (pow.f64 (cos.f64 x) 3))) (+.f64 4096/729 (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (.f64 (cos.f64 x) 16/9)) 3))) (+.f64 256/81 (-.f64 (.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (.f64 (cos.f64 x) 16/9)) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (.f64 (cos.f64 x) 16/9))) (.f64 16/9 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (.f64 (cos.f64 x) 16/9))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (+.f64 4096/729 (pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) 16/9) 16/9)) 3))) (+.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) (+.f64 4096/729 (pow.f64 (.f64 (cos.f64 x) (+.f64 16/9 (.f64 (cos.f64 x) 16/9))) 3))) (+.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 4/3 (*.f64 (cos.f64 x) -4/3)) 1)
(fma.f64 (cos.f64 x) -4/3 4/3)
(/.f64 1 (/.f64 1 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(fma.f64 (cos.f64 x) -4/3 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)))))
(fma.f64 (cos.f64 x) -4/3 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)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(/.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)))))
(fma.f64 (cos.f64 x) -4/3 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 16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.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 16/9 (.f64 16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (.f64 4/3 (cos.f64 x))))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.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 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))) (fma.f64 16/9 (cos.f64 x) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 16/9)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 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 (-.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))) (fma.f64 16/9 (cos.f64 x) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 16/9)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 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 (/.f64 (sqrt.f64 (-.f64 64/27 (.f64 64/27 (pow.f64 (cos.f64 x) 3)))) (fma.f64 16/9 (cos.f64 x) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 16/9))) (sqrt.f64 (-.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3)))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27)) (fma.f64 (.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9)))
(/.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 (sqrt.f64 (-.f64 16/9 (.f64 16/9 (pow.f64 (cos.f64 x) 2)))) (+.f64 4/3 (.f64 4/3 (cos.f64 x)))) (sqrt.f64 (-.f64 16/9 (.f64 16/9 (pow.f64 (cos.f64 x) 2)))))
(.f64 (sqrt.f64 (+.f64 16/9 (.f64 (pow.f64 (cos.f64 x) 2) -16/9))) (/.f64 (sqrt.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9))) (fma.f64 4/3 (cos.f64 x) 4/3)))
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(.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 16/9 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (.f64 (cos.f64 x) 16/9))) (/.f64 (.f64 (-.f64 64/27 (.f64 64/27 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (sin.f64 x))) (-.f64 256/81 (.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (.f64 (cos.f64 x) 16/9)) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (*.f64 (cos.f64 x) 16/9))))))
(.f64 (-.f64 16/9 (.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) 16/9) 16/9))) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (.f64 (-.f64 256/81 (.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) 16/9) 16/9)) (.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 16/9) 16/9)))) (sin.f64 x))))
(.f64 (+.f64 16/9 (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) -16/9) 16/9))) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (.f64 (-.f64 256/81 (.f64 (.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 256/81) 256/81)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x))))
(.f64 (/.f64 (.f64 (/.f64 1 (sin.f64 x)) (-.f64 64/27 (pow.f64 (.f64 4/3 (cos.f64 x)) 3))) (+.f64 4096/729 (pow.f64 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))) 3))) (-.f64 (+.f64 256/81 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (.f64 16/9 (cos.f64 x))))) (.f64 16/9 (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))))
(.f64 (+.f64 256/81 (-.f64 (.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (.f64 (cos.f64 x) 16/9)) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (.f64 (cos.f64 x) 16/9))) (.f64 16/9 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (.f64 (cos.f64 x) 16/9))))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (+.f64 4096/729 (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (.f64 (cos.f64 x) 16/9)) 3)) (-.f64 64/27 (.f64 64/27 (pow.f64 (cos.f64 x) 3))))))
(.f64 (+.f64 256/81 (.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) 16/9) 16/9)) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) 16/9) 16/9)) 16/9))) (/.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) 16/9) 16/9)) 3))))
(.f64 (+.f64 256/81 (.f64 (.f64 (cos.f64 x) (+.f64 16/9 (.f64 (cos.f64 x) 16/9))) (-.f64 (.f64 (cos.f64 x) (+.f64 16/9 (.f64 (cos.f64 x) 16/9))) 16/9))) (/.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (.f64 (cos.f64 x) (+.f64 16/9 (.f64 (cos.f64 x) 16/9))) 3))))
(.f64 (/.f64 (-.f64 (.f64 4/3 (sin.f64 x)) (.f64 (.f64 4/3 (cos.f64 x)) (sin.f64 x))) (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(.f64 2 (/.f64 (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))
(/.f64 (.f64 (sin.f64 x) (.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2)) (-.f64 1 (cos.f64 (+.f64 x x))))
(pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 1)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 2)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 3)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 3) 1/3)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) -1)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(neg.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (neg.f64 (sin.f64 x)))
(/.f64 (fma.f64 4/3 (cos.f64 x) -4/3) (neg.f64 (sin.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2))
(fabs.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))
(log.f64 (exp.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 3))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x)))) 1)
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 (cos.f64 x) 4/3)
(*.f64 4/3 (cos.f64 x))
(.f64 (.f64 4/3 (cos.f64 x)) 1)
(*.f64 4/3 (cos.f64 x))
(.f64 1 (.f64 4/3 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(.f64 (sqrt.f64 (.f64 4/3 (cos.f64 x))) (sqrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 4/3 (sqrt.f64 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(.f64 (cbrt.f64 (.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2))
(*.f64 4/3 (cos.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 4/3 (cos.f64 x))) 2) (cbrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 4/3 (cbrt.f64 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) -4/3)
(*.f64 4/3 (cos.f64 x))
(.f64 (.f64 4/3 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(.f64 (.f64 4/3 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 4/3 (cos.f64 x))
(*.f64 -4/3 (neg.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(*.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(*.f64 (/.f64 1 (/.f64 3/4 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 3/4) (sqrt.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 3/4) (cbrt.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(pow.f64 (*.f64 4/3 (cos.f64 x)) 1)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 2)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 3)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (/.f64 3/4 (cos.f64 x)) -1)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) 1/3)
(*.f64 4/3 (cos.f64 x))
(neg.f64 (/.f64 (cos.f64 x) -3/4))
(/.f64 (neg.f64 (cos.f64 x)) -3/4)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))
(fabs.f64 (*.f64 (cos.f64 x) -4/3))
(log.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (cos.f64 x)))))
(*.f64 4/3 (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))
(*.f64 4/3 (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(exp.f64 (log.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.15%	(/.f64 1 (sin.f64 x))
✓	0.28%	(.f64 (/.f64 1 (sin.f64 x)) (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))
✓	0.39%	(.f64 (.f64 (/.f64 1 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 8/3)
✓	2.15%	(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))

Compiler

Compiled 48 to 31 computations (35.4% saved)

series4.0ms (0%)

Counts

4 → 32

Calls

12 calls:

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

rewrite117.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1828×	`associate-*l/`
682×	`distribute-lft-in`
654×	`associate-/r*`
426×	`associate-/l*`
314×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	316	76
2	3868	76

Stop Event

1×	node limit

Counts

4 → 340

Calls

Call 1

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

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

simplify154.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1240×	`associate-/r*`
1208×	`associate-r`
1060×	`associate-l`
1044×	`associate-/l/`
748×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	848	18898
1	2331	17930

Stop Event

1×	node limit

Counts

372 → 528

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 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 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1)
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 1/4 (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))) 1)
(*.f64 (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))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))))
(.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))
(.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))) (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))
(.f64 (/.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1/2 (cos.f64 x) 1/2))
(.f64 (/.f64 (-.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 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (-.f64 1/16 (.f64 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x))) (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x)))))) (+.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/4 (cos.f64 x))))
(.f64 (/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (+.f64 1/64 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x))) 3))) (+.f64 1/16 (-.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x))) (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x)))) (.f64 1/4 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 -1/4 (cos.f64 x)))))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1)
(/.f64 1 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(/.f64 1 (*.f64 1 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 1 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 1/2 (.f64 1/2 (cos.f64 x))))
(/.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))) (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))))
(/.f64 (sqrt.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (/.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))) (sqrt.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))) (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (cbrt.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (/.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))) (cbrt.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) 1/4) (-.f64 (.f64 -1/2 (cos.f64 x)) 1/2))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) 1/4) (.f64 1 (-.f64 (*.f64 -1/2 (cos.f64 x)) 1/2)))
(/.f64 (-.f64 1/64 (.f64 (.f64 (pow.f64 (cos.f64 x) 3) -1/8) (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))))
(/.f64 (-.f64 1/16 (.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))) (+.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (+.f64 1/512 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 3) -1/8) 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))) (+.f64 1/64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 3) -1/8) (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))))))
(/.f64 (-.f64 1/64 (pow.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) 3)) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))) (+.f64 1/16 (+.f64 (.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))))))
(/.f64 (.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) 1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) 1) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (.f64 1 (neg.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(/.f64 (neg.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (neg.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))))
(/.f64 (neg.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (.f64 1 (neg.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))))))
(/.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) 1/4) 1) (-.f64 (*.f64 -1/2 (cos.f64 x)) 1/2))
(/.f64 (.f64 (neg.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) 1) (neg.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 (.f64 (neg.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) 1) (neg.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))))
(/.f64 (.f64 (-.f64 1/16 (.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (/.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 (-.f64 1/64 (pow.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) 3)) (/.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 x))))) (+.f64 1/16 (+.f64 (.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))))))
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(/.f64 (*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 (sqrt.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 (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)) (sin.f64 x))) 1)
(/.f64 (*.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)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (/.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1) 1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1) -1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1) (.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) 1) (+.f64 1/2 (.f64 1/2 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))) (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (sin.f64 x)) 1) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (sin.f64 x)) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))))
(/.f64 (/.f64 (/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (sin.f64 x)) (.f64 (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))))
(/.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (sin.f64 x))) 1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (sin.f64 x))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(/.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (sin.f64 x))) (.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))) (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))))) (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))))
(/.f64 (/.f64 (.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (sin.f64 x))) 1) (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))))
(/.f64 (/.f64 (.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (sin.f64 x))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x)))))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))))
(/.f64 (/.f64 (.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (sin.f64 x))) (.f64 (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (.f64 -1/4 (cos.f64 x))))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))))
(/.f64 (/.f64 (*.f64 -1 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 -1 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 -1 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 -1 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 -1 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (.f64 -1 (fma.f64 -1/2 (cos.f64 x) 1/2)) (.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 -1 (fma.f64 -1/2 (cos.f64 x) 1/2)) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 -1 (fma.f64 -1/2 (cos.f64 x) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 1) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1) (sin.f64 x))
(/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3) (/.f64 1 (pow.f64 (sin.f64 x) 3))))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(fma.f64 1/2 (/.f64 1 (sin.f64 x)) (/.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))
(fma.f64 (/.f64 1 (sin.f64 x)) 1/2 (/.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(*.f64 -1 (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 -1 (sin.f64 x)) -1)
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1))
(pow.f64 (sin.f64 x) -1)
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3)
(pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x)))))
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x))))

Outputs
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(fma.f64 1/4 (.f64 x x) (.f64 -1/48 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (.f64 -1/48 (pow.f64 x 4))))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (.f64 -1/48 (pow.f64 x 4)))))
(*.f64 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))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (+.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 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 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 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 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 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 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 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 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 (+.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 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(/.f64 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(fma.f64 1/6 x (/.f64 1 x))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 1/6 x (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x)))
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(fma.f64 (/.f64 1 (sin.f64 x)) 1/2 (/.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) 1)
(/.f64 1 (sin.f64 x))
(*.f64 1 (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(/.f64 1 (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(*.f64 -1 (/.f64 -1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 -1 (sin.f64 x)) -1)
(/.f64 1 (sin.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1))
(pow.f64 (sqrt.f64 (sin.f64 x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(pow.f64 (sin.f64 x) -1)
(/.f64 1 (sin.f64 x))
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(/.f64 1 (sin.f64 x))
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)
(/.f64 1 (sin.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3)
(/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)))
(sqrt.f64 (pow.f64 (sin.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x)))))
(/.f64 1 (sin.f64 x))
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(exp.f64 (neg.f64 (log.f64 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1))
(/.f64 1 (sin.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1))
(/.f64 1 (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.18%	(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)
✓	0.2%	(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
✓	0.28%	(/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))
✓	2.15%	(-.f64 (cos.f64 0) (cos.f64 x))

Compiler

Compiled 45 to 30 computations (33.3% saved)

series11.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)
1.0ms	x	@	inf	(/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))
1.0ms	x	@	-inf	(/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))
1.0ms	x	@	inf	(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
1.0ms	x	@	-inf	(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))

rewrite128.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`associate-/l*`
1276×	`associate-/r/`
630×	`associate-/l/`
524×	`distribute-lft-in`
298×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	88
1	323	82
2	3912	82

Stop Event

1×	node limit

Counts

4 → 272

Calls

Call 1

Inputs
(-.f64 (cos.f64 0) (cos.f64 x))
(/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))
(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)

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

simplify166.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1090×	`associate-r`
1006×	`associate-l`
914×	`associate-/l*`
896×	`*-commutative`
792×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	707	10192
1	2110	9250

Stop Event

1×	node limit

Counts

320 → 419

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(/.f64 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 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 3/4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 3/4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 3/4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 3/4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 3/4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
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(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 3/4 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) -1) (neg.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (+.f64 -1 (cos.f64 x))) -3/4)
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) -2) (/.f64 3/4 (.f64 (sin.f64 (.f64 (neg.f64 x) 1/2)) (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) (.f64 (pow.f64 (sin.f64 x) 2) 4/3)) (+.f64 (cos.f64 x) 1))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 4/3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (+.f64 -1 (cos.f64 x)))) 3/4)
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) (-.f64 16/9 (.f64 (.f64 (cos.f64 x) 4/3) (.f64 (cos.f64 x) 4/3)))) (+.f64 4/3 (*.f64 (cos.f64 x) 4/3)))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) (-.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 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 4/3 (.f64 (cos.f64 x) 4/3)))) 1) (sqrt.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 4/3 (.f64 (cos.f64 x) 4/3)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 3/4))
(.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 4/3 (.f64 (cos.f64 x) 4/3)))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 -3/4))
(.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (-.f64 4/3 (.f64 (cos.f64 x) 4/3))) 2)) 1) (cbrt.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (-.f64 4/3 (.f64 (cos.f64 x) 4/3))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 3/4))
(.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (-.f64 4/3 (.f64 (cos.f64 x) 4/3))) 2)) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) (cbrt.f64 -3/4))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x)))) 1)
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) -1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x)))) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 x) (+.f64 -4/3 (*.f64 (cos.f64 x) 4/3))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x)))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 3/4 (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x))))))
(+.f64 (.f64 (/.f64 1 (sin.f64 x)) 4/3) (.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (cos.f64 x) 4/3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))) 1)
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))
(.f64 (-.f64 4/3 (.f64 (cos.f64 x) 4/3)) (/.f64 1 (sin.f64 x)))
(.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 1)
(.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 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))) (sin.f64 x)))
(.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))
(.f64 (/.f64 1 (sin.f64 x)) (-.f64 4/3 (.f64 (cos.f64 x) 4/3)))
(.f64 -1 (.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))
(.f64 -1 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 (-.f64 4/3 (.f64 (cos.f64 x) 4/3)))) (sqrt.f64 (-.f64 4/3 (.f64 (cos.f64 x) 4/3))))
(.f64 (.f64 (/.f64 1 (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 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x))))) 2)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))
(.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 1 (cos.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) 4/3)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 4/3 (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (+.f64 -4/3 (.f64 (cos.f64 x) 4/3)))
(.f64 (.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) -1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 4/3 (cbrt.f64 (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))) (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 (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 (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 (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 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x))))) -1) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x))))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x))))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x))))) -1))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) -1) 4/3)
(.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 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (+.f64 -4/3 (.f64 (cos.f64 x) 4/3))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 3/4)) (-.f64 1 (cos.f64 x)))
(.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 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 1) (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (+.f64 -4/3 (*.f64 (cos.f64 x) 4/3))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 3/4) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) 1) (-.f64 4/3 (.f64 (cos.f64 x) 4/3)))
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) -1) (+.f64 -4/3 (.f64 (cos.f64 x) 4/3)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -3/4) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 4/3)
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) (.f64 1 (sqrt.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (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 1 (sin.f64 x)) (/.f64 3/4 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 3/4 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) -3/8) (.f64 (sin.f64 (.f64 (neg.f64 x) 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 -1 (neg.f64 (neg.f64 (sin.f64 x)))) (+.f64 -4/3 (.f64 (cos.f64 x) 4/3)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x))))) 2)) 1) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x))))) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x))))) 2)) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (+.f64 -4/3 (*.f64 (cos.f64 x) 4/3))))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x)))) -1)
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x)))) -2))
(log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x))))) -1))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))
(+.f64 4/3 (neg.f64 (*.f64 (cos.f64 x) 4/3)))
(+.f64 4/3 (.f64 1 (neg.f64 (.f64 (cos.f64 x) 4/3))))
(+.f64 4/3 (*.f64 4/3 (neg.f64 (cos.f64 x))))
(+.f64 4/3 (.f64 4/3 (.f64 (neg.f64 (cos.f64 x)) 1)))
(+.f64 (neg.f64 (*.f64 (cos.f64 x) 4/3)) 4/3)
(+.f64 (*.f64 4/3 (neg.f64 (cos.f64 x))) 4/3)
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3))
(-.f64 (exp.f64 (log.f64 (-.f64 7/3 (*.f64 (cos.f64 x) 4/3)))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (sqrt.f64 (-.f64 1 (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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4/3))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(.f64 -1 (+.f64 -4/3 (.f64 (cos.f64 x) 4/3)))
(*.f64 (+.f64 -1 (cos.f64 x)) -4/3)
(.f64 -2 (.f64 (.f64 (sin.f64 (.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2))) 4/3))
(*.f64 -4/3 (+.f64 -1 (cos.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (.f64 (cos.f64 x) 4/3))) 2) 1) (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(*.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 3/4 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(.f64 -8/3 (.f64 (sin.f64 (.f64 (neg.f64 x) 1/2)) (sin.f64 (.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 3/4) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4/3) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4/3) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 4/3) (-.f64 1 (.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 4/3) (+.f64 1 (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) 3))) (+.f64 1 (-.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))))
(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)
(pow.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) -3/4))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 16/9))
(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))))
(exp.f64 (.f64 (log.f64 (-.f64 4/3 (.f64 (cos.f64 x) 4/3))) 1))
(log1p.f64 (expm1.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
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(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 4/3 (neg.f64 (*.f64 (cos.f64 x) 4/3)))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(+.f64 4/3 (.f64 1 (neg.f64 (.f64 (cos.f64 x) 4/3))))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(+.f64 4/3 (*.f64 4/3 (neg.f64 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(+.f64 4/3 (.f64 4/3 (.f64 (neg.f64 (cos.f64 x)) 1)))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(+.f64 (neg.f64 (*.f64 (cos.f64 x) 4/3)) 4/3)
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(+.f64 (*.f64 4/3 (neg.f64 (cos.f64 x))) 4/3)
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(-.f64 (exp.f64 (log.f64 (-.f64 7/3 (*.f64 (cos.f64 x) 4/3)))) 1)
(+.f64 (+.f64 7/3 (*.f64 (cos.f64 x) -4/3)) -1)
(+.f64 -1 (+.f64 (*.f64 (cos.f64 x) -4/3) 7/3))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(.f64 (-.f64 4/3 (.f64 (cos.f64 x) 4/3)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(.f64 1 (-.f64 4/3 (.f64 (cos.f64 x) 4/3)))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(.f64 (sqrt.f64 (-.f64 4/3 (.f64 (cos.f64 x) 4/3))) (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 4/3))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(.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 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(.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 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4/3))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(.f64 -1 (+.f64 -4/3 (.f64 (cos.f64 x) 4/3)))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(*.f64 (+.f64 -1 (cos.f64 x)) -4/3)
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(.f64 -2 (.f64 (.f64 (sin.f64 (.f64 (neg.f64 x) 1/2)) (sin.f64 (*.f64 x 1/2))) 4/3))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (neg.f64 x))) (.f64 (sin.f64 (*.f64 1/2 x)) 4/3)))
(.f64 (sin.f64 (.f64 x -1/2)) (.f64 (sin.f64 (.f64 1/2 x)) -8/3))
(*.f64 -4/3 (+.f64 -1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (.f64 (cos.f64 x) 4/3))) 2) 1) (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(*.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(*.f64 (/.f64 1 (/.f64 3/4 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(.f64 -8/3 (.f64 (sin.f64 (.f64 (neg.f64 x) 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (neg.f64 x))) (.f64 (sin.f64 (*.f64 1/2 x)) 4/3)))
(.f64 (sin.f64 (.f64 x -1/2)) (.f64 (sin.f64 (.f64 1/2 x)) -8/3))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 3/4) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4/3) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4/3) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (/.f64 (.f64 4/3 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (cos.f64 x) 1)) (/.f64 (.f64 4/3 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 4/3) (-.f64 1 (.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))
(.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (/.f64 (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))))
(/.f64 (.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 2)) (-.f64 -1 (cos.f64 x)))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 4/3) (+.f64 1 (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) 3))) (+.f64 1 (-.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))))
(.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))) (.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 3)) 4/3)))
(.f64 (+.f64 1 (.f64 (+.f64 1 (cos.f64 x)) (-.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 2)) (cos.f64 x)))) (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) 4/3))
(pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(pow.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2)
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 3)
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(pow.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3) 1/3)
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(pow.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) -1)
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) -3/4))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 16/9))
(sqrt.f64 (pow.f64 (+.f64 4/3 (/.f64 (cos.f64 x) -3/4)) 2))
(log.f64 (exp.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(cbrt.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(expm1.f64 (log.f64 (-.f64 7/3 (*.f64 (cos.f64 x) 4/3))))
(+.f64 (+.f64 7/3 (*.f64 (cos.f64 x) -4/3)) -1)
(+.f64 -1 (+.f64 (*.f64 (cos.f64 x) -4/3) 7/3))
(exp.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(exp.f64 (.f64 (log.f64 (-.f64 4/3 (.f64 (cos.f64 x) 4/3))) 1))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(log1p.f64 (expm1.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))

eval690.0ms (6.8%)

Compiler: Compiled 37064 to 25420 computations (31.4% saved)

prune434.0ms (4.3%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	1670	10	1680
Fresh	10	6	16
Picked	1	0	1
Done	0	4	4
Total	1681	20	1701

Error

Counts

1701 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	19.27%	(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
	46.65%	(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) -3/4) (sin.f64 x))
	47.32%	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
✓	46.93%	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
	46.68%	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
	46.72%	(/.f64 (.f64 8/3 (/.f64 1 (/.f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))) (sin.f64 x))
	46.67%	(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
	46.89%	(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 3/4)))
▶	49.23%	(/.f64 1 (/.f64 3/2 x))
▶	0.45%	(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
	48.86%	(/.f64 1 (+.f64 (.f64 -1/8 x) (.f64 3/2 (/.f64 1 x))))
▶	47.33%	(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 4/3)))
	94.1%	(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
▶	46.75%	(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 3/4) (-.f64 1 (cos.f64 x)))
✓	0.5%	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
✓	46.75%	(.f64 (.f64 (/.f64 1 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 8/3)
▶	0.65%	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
✓	49.3%	(*.f64 x 2/3)
	44.53%	(.f64 1/2 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8))
	83.59%	(sqrt.f64 (.f64 x (.f64 x 4/9)))

Compiler

Compiled 383 to 317 computations (17.2% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(tan.f64 (/.f64 x 2))
✓	0.15%	(/.f64 3/4 (tan.f64 (/.f64 x 2)))
✓	0.38%	(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1126×	`associate-*r/`
902×	`*-commutative`
768×	`associate-*l/`
712×	`associate-/r*`
542×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	238	45
2	2774	45

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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 (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 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x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (neg.f64 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))) (neg.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.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 1 (/.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 (neg.f64 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3/2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.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) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 1) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 1 (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)) 1) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))))))

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1658×	`distribute-rgt-in`
1634×	`distribute-lft-in`
1064×	`associate-/l/`
608×	`associate-l`
604×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	412	5205
1	942	4961
2	4004	4961

Stop Event

1×	node limit

Counts

207 → 242

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 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) 4/3))) 1)
(.f64 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 (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 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 (.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 (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 (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 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 (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 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 1 (sin.f64 (.f64 x 1/2))) (.f64 3/4 (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (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)))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (neg.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (neg.f64 (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(.f64 -1 (neg.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) (neg.f64 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2))))) (neg.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))))
(.f64 (neg.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (neg.f64 (sqrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (neg.f64 (tan.f64 (.f64 x 1/2)))))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))
(.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))))) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 3/2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3/2))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/6))
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (tan.f64 (*.f64 x 1/2)) 1)
(/.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 1 (sqrt.f64 (tan.f64 (.f64 x 1/2)))))
(/.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (/.f64 1 (cos.f64 (.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (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 (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 (neg.f64 (sin.f64 (.f64 x 1/2))) 1) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (.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 (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 1 (sqrt.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (/.f64 1 (tan.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 1 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (/.f64 1 (tan.f64 (.f64 x 1/2)))))) (cbrt.f64 (/.f64 1 (tan.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 1 (/.f64 1 (sin.f64 (.f64 x 1/2)))) (cos.f64 (.f64 x 1/2)))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (cos.f64 (.f64 x 1/2)))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (cos.f64 (.f64 x 1/2)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(neg.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))
(neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cos.f64 (.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 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))))
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(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (/.f64 1 (cos.f64 (.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (cos.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (cos.f64 (.f64 x 1/2))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (cos.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (.f64 (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 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2))))
(/.f64 (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 (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 (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 (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) 1) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (.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 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2))))
(/.f64 (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 (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 (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 (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 1 (sqrt.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (/.f64 1 (tan.f64 (.f64 x 1/2)))))
(tan.f64 (*.f64 x 1/2))
(/.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 1 (tan.f64 (.f64 x 1/2)))) (cbrt.f64 (/.f64 1 (tan.f64 (.f64 x 1/2)))))) (cbrt.f64 (/.f64 1 (tan.f64 (.f64 x 1/2)))))
(tan.f64 (*.f64 x 1/2))
(/.f64 (/.f64 1 (/.f64 1 (sin.f64 (.f64 x 1/2)))) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(tan.f64 (*.f64 x 1/2))
(neg.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(fabs.f64 (tan.f64 (*.f64 x 1/2)))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(tan.f64 (*.f64 x 1/2))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(tan.f64 (*.f64 x 1/2))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.38%	(/.f64 1 (/.f64 3/2 x))

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1336×	`add-sqr-sqrt`
1300×	`*-un-lft-identity`
1230×	`add-cube-cbrt`
1220×	`add-cbrt-cube`
1206×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	149	7
2	1730	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1378×	`associate-r`
1334×	`associate-/l*`
1294×	`associate-*r/`
1166×	`associate-l`
964×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	314
1	158	314
2	583	308
3	3763	308

Stop Event

1×	node limit

Counts

38 → 30

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(tan.f64 (/.f64 x 2))
✓	0.65%	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)

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 2)) 4/3)
0.0ms	x	@	inf	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
0.0ms	x	@	-inf	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)

rewrite53.0ms (0.5%)

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)))))))

simplify62.0ms (0.6%)

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)))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.15%	(/.f64 1 (sin.f64 x))
✓	0.29%	(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 3/4) (-.f64 1 (cos.f64 x)))
✓	0.46%	(/.f64 (/.f64 1 (sin.f64 x)) 3/4)
✓	2.15%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 33 to 20 computations (39.4% saved)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`unswap-sqr`
722×	`swap-sqr`
636×	`associate-/r*`
596×	`distribute-rgt-in`
560×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	258	49
2	3259	49

Stop Event

1×	node limit

Counts

3 → 242

Calls

Call 1

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

Outputs

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

simplify103.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1532×	`associate-/l*`
1244×	`associate-r`
1158×	`associate-/r*`
958×	`associate-l`
656×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	637	11408
1	1811	10982

Stop Event

1×	node limit

Counts

270 → 372

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 4/3 x)
(+.f64 (.f64 2/9 x) (.f64 4/3 (/.f64 1 x)))
(+.f64 (.f64 7/270 (pow.f64 x 3)) (+.f64 (.f64 2/9 x) (*.f64 4/3 (/.f64 1 x))))
(+.f64 (.f64 31/11340 (pow.f64 x 5)) (+.f64 (.f64 7/270 (pow.f64 x 3)) (+.f64 (.f64 2/9 x) (.f64 4/3 (/.f64 1 x)))))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (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 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 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))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))
(.f64 (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.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 (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.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) (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(/.f64 (-.f64 1 (.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3))) (.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 3))))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 (neg.f64 (cos.f64 x)) -1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 1 (cos.f64 x)) 2))
(/.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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(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)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (neg.f64 (cos.f64 x)) -1)))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(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 (log1p.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x)))) 1)
(*.f64 1 (/.f64 4/3 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) 4/3)
(*.f64 (/.f64 4/3 (sin.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 x) -1/2) (.f64 (pow.f64 (sin.f64 x) -1/2) 4/3))
(.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 x) -2) 16/9)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 x) -2) 16/9)) (cbrt.f64 (/.f64 4/3 (sin.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 4/3))
(*.f64 4/3 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 -1 (sin.f64 x)) -4/3)
(*.f64 -4/3 (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 4/3 (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 1 (.f64 3/4 (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (/.f64 1 (/.f64 3/4 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) (cbrt.f64 (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) -1/2) 3/4) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) 3/4) (cbrt.f64 (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 4/3 (neg.f64 (sin.f64 x))) -1)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x)))) (cbrt.f64 (/.f64 4/3 (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x)))) (cbrt.f64 (/.f64 4/3 (sin.f64 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x)))) (cbrt.f64 (/.f64 4/3 (sin.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x)))) (cbrt.f64 (/.f64 4/3 (sin.f64 x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 x) -2) 16/9)))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) -2) 16/9)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 x) -2) 16/9)))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) -2) 16/9)))))
(.f64 (.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))))) (*.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 x) -2) 16/9))) (cbrt.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))))) (.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) -2) 16/9))) (cbrt.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))))))
(pow.f64 (/.f64 4/3 (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) 2)
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(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 4/3 (sin.f64 x))) (.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 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 4/3 (sin.f64 x))) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 4/3 (sin.f64 x))) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (+.f64 1 (cos.f64 x))) 3/4)
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (sin.f64 x))) (+.f64 1 (cos.f64 x))) -3/4)
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (.f64 (sin.f64 x) 3/4))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) 3/4)
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 -1 (sin.f64 x))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) -3/4)
(/.f64 (/.f64 (*.f64 (/.f64 -1 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) -3/4) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -3/4) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 3/4 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 3) 1/3)
(neg.f64 (.f64 (/.f64 -1 (.f64 (sin.f64 x) 3/4)) (-.f64 1 (cos.f64 x))))
(neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (.f64 (sin.f64 x) 3/4))))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -3/4))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (/.f64 4/3 (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 4/3 x)
(+.f64 (.f64 2/9 x) (.f64 4/3 (/.f64 1 x)))
(fma.f64 2/9 x (/.f64 4/3 x))
(+.f64 (.f64 7/270 (pow.f64 x 3)) (+.f64 (.f64 2/9 x) (*.f64 4/3 (/.f64 1 x))))
(fma.f64 7/270 (pow.f64 x 3) (fma.f64 2/9 x (/.f64 4/3 x)))
(+.f64 (.f64 31/11340 (pow.f64 x 5)) (+.f64 (.f64 7/270 (pow.f64 x 3)) (+.f64 (.f64 2/9 x) (.f64 4/3 (/.f64 1 x)))))
(fma.f64 31/11340 (pow.f64 x 5) (fma.f64 7/270 (pow.f64 x 3) (fma.f64 2/9 x (/.f64 4/3 x))))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (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))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180))))
(*.f64 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 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))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 1 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 1 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (.f64 (.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (-.f64 -1 (cos.f64 x)))) (-.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) -1))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (-.f64 (pow.f64 (cos.f64 x) 2) 1)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.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 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (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 (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (sin.f64 x)) (sin.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 (sin.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))))
(/.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 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1 (cos.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 (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))))
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(.f64 (pow.f64 (sin.f64 x) 2) (/.f64 4/3 (.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 3/4) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 3/4))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (.f64 (-.f64 (-.f64 -1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (.f64 (sin.f64 x) 3/4)))
(/.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) 1) (+.f64 1 (cos.f64 x)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (*.f64 (+.f64 1 (cos.f64 x)) 3/4))) (pow.f64 (sin.f64 x) 2))
(.f64 (pow.f64 (sin.f64 x) 2) (/.f64 4/3 (.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (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 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 3/4))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (.f64 (-.f64 (-.f64 -1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (.f64 (sin.f64 x) 3/4)))
(/.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (/.f64 4/3 (sin.f64 x)))))
(/.f64 (/.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))))
(/.f64 (/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 -4/3 (sin.f64 x))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 4/3 (sin.f64 x))) 1) (+.f64 1 (cos.f64 x)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (*.f64 (+.f64 1 (cos.f64 x)) 3/4))) (pow.f64 (sin.f64 x) 2))
(.f64 (pow.f64 (sin.f64 x) 2) (/.f64 4/3 (.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 4/3 (sin.f64 x))) (.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 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 4/3 (sin.f64 x))) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 3/4))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (.f64 (-.f64 (-.f64 -1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (.f64 (sin.f64 x) 3/4)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (/.f64 4/3 (sin.f64 x)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 4/3 (sin.f64 x))) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))))
(/.f64 (/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 -4/3 (sin.f64 x))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (+.f64 1 (cos.f64 x))) 3/4)
(.f64 (/.f64 1 (.f64 (sin.f64 x) (*.f64 (+.f64 1 (cos.f64 x)) 3/4))) (pow.f64 (sin.f64 x) 2))
(.f64 (pow.f64 (sin.f64 x) 2) (/.f64 4/3 (.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (sin.f64 x))) (+.f64 1 (cos.f64 x))) -3/4)
(.f64 (/.f64 1 (.f64 (sin.f64 x) (*.f64 (+.f64 1 (cos.f64 x)) 3/4))) (pow.f64 (sin.f64 x) 2))
(.f64 (pow.f64 (sin.f64 x) 2) (/.f64 4/3 (.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (.f64 (sin.f64 x) 3/4))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 3/4))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (.f64 (-.f64 (-.f64 -1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (.f64 (sin.f64 x) 3/4)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) 3/4)
(.f64 (/.f64 1 (.f64 (sin.f64 x) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 3/4))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (.f64 (-.f64 (-.f64 -1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (.f64 (sin.f64 x) 3/4)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 -1 (sin.f64 x))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) -3/4)
(.f64 (/.f64 1 (.f64 (sin.f64 x) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 3/4))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (.f64 (-.f64 (-.f64 -1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (.f64 (sin.f64 x) 3/4)))
(/.f64 (/.f64 (*.f64 (/.f64 -1 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) -3/4) (+.f64 1 (cos.f64 x)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (*.f64 (+.f64 1 (cos.f64 x)) 3/4))) (pow.f64 (sin.f64 x) 2))
(.f64 (pow.f64 (sin.f64 x) 2) (/.f64 4/3 (.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -3/4) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 3/4))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (.f64 (-.f64 (-.f64 -1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (.f64 (sin.f64 x) 3/4)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 3/4 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) 3/4)))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) 2)
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 3) 1/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(neg.f64 (.f64 (/.f64 -1 (.f64 (sin.f64 x) 3/4)) (-.f64 1 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -3/4))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2))
(sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))) 3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (/.f64 4/3 (sin.f64 x)) 3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))) 1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4%	(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 4/3))
✓	0.58%	(/.f64 (sin.f64 x) 4/3)
✓	0.65%	(/.f64 4/3 (sin.f64 x))
✓	17.61%	(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 4/3)))

Compiler

Compiled 34 to 17 computations (50% saved)

series3.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite123.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1574×	`associate-/l*`
1156×	`associate-/r/`
610×	`distribute-rgt-in`
578×	`distribute-lft-in`
470×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	80
1	251	70
2	3618	70

Stop Event

1×	node limit

Counts

4 → 327

Calls

Call 1

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

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

simplify148.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1510×	`associate-l`
1372×	`associate-/r*`
1096×	`associate-/l*`
1036×	`*-commutative`
746×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	807	17183
1	2429	16865

Stop Event

1×	node limit

Counts

367 → 506

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 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 4/3 x)
(+.f64 (.f64 2/9 x) (.f64 4/3 (/.f64 1 x)))
(+.f64 (.f64 7/270 (pow.f64 x 3)) (+.f64 (.f64 2/9 x) (*.f64 4/3 (/.f64 1 x))))
(+.f64 (.f64 31/11340 (pow.f64 x 5)) (+.f64 (.f64 7/270 (pow.f64 x 3)) (+.f64 (.f64 2/9 x) (.f64 4/3 (/.f64 1 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 4/3 x)
(+.f64 (.f64 -4/9 x) (.f64 4/3 (/.f64 1 x)))
(+.f64 (.f64 -4/9 x) (+.f64 (.f64 -4/135 (pow.f64 x 3)) (*.f64 4/3 (/.f64 1 x))))
(+.f64 (.f64 -4/9 x) (+.f64 (.f64 -4/135 (pow.f64 x 3)) (+.f64 (.f64 4/3 (/.f64 1 x)) (.f64 -8/2835 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3))
(+.f64 (/.f64 4/3 (sin.f64 x)) (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) (fma.f64 (neg.f64 (/.f64 4/3 (sin.f64 x))) (cos.f64 x) (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1) (fma.f64 (neg.f64 (/.f64 4/3 (sin.f64 x))) (cos.f64 x) (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) (fma.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1) (fma.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))) (sqrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x))) (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))) (sqrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x))) (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x))) 2) (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x))) 2) (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1) (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (.f64 1 (.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (.f64 (.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1) 1))
(+.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 4/3 (sin.f64 x))) (cos.f64 x) (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x))))
(+.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (fma.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x))))
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(*.f64 (/.f64 (neg.f64 (cos.f64 x)) -1) (/.f64 4/3 (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (neg.f64 (sin.f64 x)))) -4/3)
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) 1) (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 (/.f64 (cos.f64 x) 1) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (sqrt.f64 (sin.f64 x))) (/.f64 4/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 4/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) 3/4) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (neg.f64 (sin.f64 x))) -4/3)
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2))) (cbrt.f64 (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) -1) (neg.f64 (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (neg.f64 (neg.f64 (sin.f64 x)))) 4/3)
(.f64 (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) 1) (sqrt.f64 (/.f64 4/3 (sin.f64 x))))
(.f64 (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 4/3))
(.f64 (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (.f64 (sin.f64 x) 3/4))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 -4/3))
(.f64 (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 2) 9/16))) 1) (cbrt.f64 (/.f64 4/3 (sin.f64 x))))
(.f64 (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 2) 9/16))) (cbrt.f64 (sin.f64 x))) (cbrt.f64 4/3))
(.f64 (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 2) 9/16))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 -4/3))
(pow.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x))) 3)
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3/4) -1)
(pow.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)) 3) 1/3)
(neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x))))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(-.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.f64 (.f64 4/3 (/.f64 1 (sin.f64 x))) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 4/3 x)
(+.f64 (.f64 2/9 x) (.f64 4/3 (/.f64 1 x)))
(fma.f64 2/9 x (/.f64 4/3 x))
(+.f64 (.f64 7/270 (pow.f64 x 3)) (+.f64 (.f64 2/9 x) (*.f64 4/3 (/.f64 1 x))))
(fma.f64 7/270 (pow.f64 x 3) (fma.f64 2/9 x (/.f64 4/3 x)))
(+.f64 (.f64 31/11340 (pow.f64 x 5)) (+.f64 (.f64 7/270 (pow.f64 x 3)) (+.f64 (.f64 2/9 x) (.f64 4/3 (/.f64 1 x)))))
(fma.f64 31/11340 (pow.f64 x 5) (fma.f64 7/270 (pow.f64 x 3) (fma.f64 2/9 x (/.f64 4/3 x))))
(*.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))
(+.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)))
(+.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))))
(*.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 4/3 x)
(+.f64 (.f64 -4/9 x) (.f64 4/3 (/.f64 1 x)))
(fma.f64 -4/9 x (/.f64 4/3 x))
(+.f64 (.f64 -4/9 x) (+.f64 (.f64 -4/135 (pow.f64 x 3)) (*.f64 4/3 (/.f64 1 x))))
(fma.f64 -4/9 x (fma.f64 -4/135 (pow.f64 x 3) (/.f64 4/3 x)))
(+.f64 (.f64 -4/9 x) (+.f64 (.f64 -4/135 (pow.f64 x 3)) (+.f64 (.f64 4/3 (/.f64 1 x)) (.f64 -8/2835 (pow.f64 x 5)))))
(fma.f64 -4/9 x (+.f64 (fma.f64 -4/135 (pow.f64 x 3) (/.f64 4/3 x)) (*.f64 (pow.f64 x 5) -8/2835)))
(+.f64 (fma.f64 -4/9 x (fma.f64 -4/135 (pow.f64 x 3) (/.f64 4/3 x))) (*.f64 (pow.f64 x 5) -8/2835))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) (fma.f64 (neg.f64 (/.f64 4/3 (sin.f64 x))) (cos.f64 x) (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (fma.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1) (fma.f64 (neg.f64 (/.f64 4/3 (sin.f64 x))) (cos.f64 x) (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (fma.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) (fma.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (fma.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1) (fma.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (fma.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))) (sqrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x))) (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (fma.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))) (sqrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x))) (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (fma.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x))) 2) (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (fma.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x))) 2) (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (fma.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (fma.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (+.f64 (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1) (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(+.f64 (fma.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (.f64 1 (.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (.f64 (.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1) 1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 4/3 (sin.f64 x))) (cos.f64 x) (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x))))
(+.f64 (fma.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (fma.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -4/3) 1 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x))))
(+.f64 (fma.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))) (sqrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x))) (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x))))
(+.f64 (fma.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x))) 2) (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x))))
(+.f64 (fma.f64 (/.f64 -4/3 (sin.f64 x)) (cos.f64 x) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
(+.f64 (fma.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 4/3 (tan.f64 (/.f64 x 2))))
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(pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3/4) -1)
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)) 3) 1/3)
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) -3/4))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x))))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)))))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)) 3))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x))))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(exp.f64 (log.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x))))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (cos.f64 x) 4/3) (sin.f64 x))) 1))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x))))
(*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))

eval492.0ms (4.8%)

Compiler: Compiled 27488 to 17680 computations (35.7% saved)

prune288.0ms (2.8%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	1297	9	1306
Fresh	6	5	11
Picked	1	0	1
Done	3	5	8
Total	1307	19	1326

Error

Counts

1326 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	46.65%	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
	46.74%	(/.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
✓	46.93%	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
▶	46.68%	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
▶	0.64%	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
✓	49.23%	(/.f64 1 (/.f64 3/2 x))
✓	0.45%	(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
	45.88%	(/.f64 1 (/.f64 3/4 (log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
	48.86%	(/.f64 1 (+.f64 (.f64 -1/8 x) (.f64 3/2 (/.f64 1 x))))
	0.62%	(/.f64 1 (.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) 3/4))
▶	0.53%	(/.f64 1 (.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
▶	94.1%	(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
	46.75%	(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 3/4) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
	0.69%	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) 4/3)
✓	0.65%	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
	50.03%	(.f64 x (fma.f64 x (.f64 x 1/18) 2/3))
✓	49.3%	(*.f64 x 2/3)
▶	44.53%	(.f64 1/2 (/.f64 (sin.f64 (.f64 x 1/2)) 3/8))
	83.59%	(sqrt.f64 (.f64 x (.f64 x 4/9)))

Compiler

Compiled 342 to 286 computations (16.4% saved)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2%	(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
✓	0.23%	(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
✓	0.38%	(/.f64 1 (.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))

Compiler

Compiled 46 to 37 computations (19.6% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1286×	`associate-*r/`
1084×	`*-commutative`
918×	`associate-*l/`
896×	`associate-/r*`
354×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	89
1	267	83
2	3142	83

Stop Event

1×	node limit

Counts

3 → 215

Calls

Call 1

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

Outputs

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

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

simplify136.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1100×	`associate-/l*`
836×	`distribute-rgt-in`
830×	`distribute-lft-in`
588×	`associate-r`
562×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	540	11365
1	1285	11179
2	5549	11179

Stop Event

1×	node limit

Counts

251 → 337

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 3/2 x)
(+.f64 (.f64 1/16 x) (.f64 3/2 (/.f64 1 x)))
(+.f64 (.f64 1/16 x) (+.f64 (.f64 7/3840 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x))))
(+.f64 (.f64 31/645120 (pow.f64 x 5)) (+.f64 (.f64 1/16 x) (+.f64 (.f64 7/3840 (pow.f64 x 3)) (.f64 3/2 (/.f64 1 x)))))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) 1)
(.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 1)
(.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (/.f64 1 (cos.f64 (.f64 x 1/2))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (pow.f64 (cos.f64 (.f64 x 1/2)) -1))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -4/3) (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -4/3) (cos.f64 (.f64 x 1/2))) -1)
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) -1) (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
(.f64 (pow.f64 (sqrt.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) -1) (pow.f64 (sqrt.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) 2) -1) (pow.f64 (cbrt.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) -1))
(.f64 (pow.f64 (cbrt.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) -1) (pow.f64 (pow.f64 (cbrt.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) 2) -1))
(.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) -3/4) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) 4/3)) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (/.f64 3/4 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (cos.f64 (.f64 x 1/2))))) (sqrt.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1 (.f64 (cos.f64 (.f64 x 1/2)) -3/4)) (neg.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) (sqrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 -1 (.f64 (cos.f64 (.f64 x 1/2)) -3/4)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) -1) (.f64 (sin.f64 (.f64 x 1/2)) -4/3))
(.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (/.f64 3/4 (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (/.f64 3/4 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2) (cbrt.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) -1)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 1)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) -2))
(log.f64 (exp.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))) 1)
(/.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2))))
(/.f64 3/4 (/.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (.f64 x 1/2)))))
(/.f64 3/4 (.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(/.f64 3/4 (.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (/.f64 1 (cos.f64 (.f64 x 1/2))))
(/.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (pow.f64 (cos.f64 (.f64 x 1/2)) -1))
(/.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (.f64 1 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (/.f64 -1 (neg.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (cos.f64 (.f64 x 1/2)) (.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(/.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) 1)
(/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 3/4 (sqrt.f64 (cos.f64 (.f64 x 1/2))))))
(/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) (sqrt.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (sqrt.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))))
(/.f64 (sqrt.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (/.f64 -1 (neg.f64 (sqrt.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))))
(/.f64 (sqrt.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))))))
(/.f64 (sqrt.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (/.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (sqrt.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x))))))
(/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(/.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 1 (.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (cos.f64 (.f64 x 1/2))))))
(/.f64 (cbrt.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2))
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(/.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2))) (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) 2) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))))) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))) (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))))) (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x 1/2)) 4/3) 1) (sin.f64 (.f64 x 1/2)))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 x 1/2)) 4/3) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(/.f64 (/.f64 (/.f64 3/4 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (cos.f64 (.f64 x 1/2)))) 1) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (/.f64 3/4 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (cos.f64 (.f64 x 1/2)))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (/.f64 3/4 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (cos.f64 (.f64 x 1/2)))) (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (/.f64 3/4 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (cos.f64 (.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) 1) (cbrt.f64 (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (/.f64 (.f64 3/4 (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 (cos.f64 (.f64 x 1/2)) -3/4) -1) (sin.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (.f64 (cos.f64 (.f64 x 1/2)) -3/4) (sqrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 (cos.f64 (.f64 x 1/2)) -3/4) (.f64 (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (neg.f64 (sin.f64 (.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 (cos.f64 (.f64 x 1/2)) -3/4) (neg.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (sin.f64 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 (cos.f64 (.f64 x 1/2)) -3/4) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))
(pow.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) 1)
(pow.f64 (sqrt.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) 2)
(pow.f64 (cbrt.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) 3) 1/3)
(neg.f64 (.f64 -3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 x 1/2))) (/.f64 3/4 (sin.f64 (.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) 3))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3) (pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) 3)))
(expm1.f64 (log1p.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(exp.f64 (log.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(log1p.f64 (expm1.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))) 1)
(.f64 1 (/.f64 3/4 (sin.f64 (.f64 x 1/2))))
(.f64 3/4 (/.f64 1 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) 1)
(.f64 (sqrt.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (/.f64 9/16 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(.f64 (cbrt.f64 (/.f64 9/16 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (cbrt.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) 3/4)
(.f64 -1 (neg.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))))
(.f64 -3/4 (/.f64 -1 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 3/4 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (/.f64 3/4 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 -1 (sin.f64 (.f64 x 1/2))) -3/4)
(.f64 (/.f64 1 (.f64 1 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))) (sqrt.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 9/16 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))) (cbrt.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) -1)
(sqrt.f64 (/.f64 9/16 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(log.f64 (exp.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(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 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 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.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 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.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 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.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 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.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 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.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 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.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 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.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 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 3/2 x)
(+.f64 (.f64 1/16 x) (.f64 3/2 (/.f64 1 x)))
(fma.f64 1/16 x (/.f64 3/2 x))
(fma.f64 x 1/16 (/.f64 3/2 x))
(+.f64 (.f64 1/16 x) (+.f64 (.f64 7/3840 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x))))
(fma.f64 1/16 x (fma.f64 7/3840 (pow.f64 x 3) (/.f64 3/2 x)))
(fma.f64 x 1/16 (fma.f64 (pow.f64 x 3) 7/3840 (/.f64 3/2 x)))
(+.f64 (.f64 31/645120 (pow.f64 x 5)) (+.f64 (.f64 1/16 x) (+.f64 (.f64 7/3840 (pow.f64 x 3)) (.f64 3/2 (/.f64 1 x)))))
(fma.f64 31/645120 (pow.f64 x 5) (fma.f64 1/16 x (fma.f64 7/3840 (pow.f64 x 3) (/.f64 3/2 x))))
(fma.f64 (pow.f64 x 5) 31/645120 (fma.f64 x 1/16 (fma.f64 (pow.f64 x 3) 7/3840 (/.f64 3/2 x))))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(/.f64 3/4 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) 1)
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))
(.f64 4/3 (/.f64 (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 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 1)
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (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) (/.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 (sin.f64 (.f64 x 1/2)) 4/3) (pow.f64 (cos.f64 (.f64 x 1/2)) -1))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 -1 (/.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))))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -4/3) (cos.f64 (.f64 x 1/2))) -1)
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
(.f64 4/3 (/.f64 (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))))
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(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (.f64 (cos.f64 (.f64 x 1/2)) -3/4) (neg.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (sin.f64 (.f64 x 1/2))))
(/.f64 3/4 (.f64 (.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (cos.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 3/4))
(/.f64 (/.f64 (.f64 (cos.f64 (.f64 x 1/2)) -3/4) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(pow.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) 1)
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sqrt.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) 2)
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(pow.f64 (cbrt.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) 3)
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(pow.f64 (pow.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) 3) 1/3)
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(neg.f64 (.f64 -3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(sqrt.f64 (pow.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) 2))
(fabs.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 x 1/2))) (/.f64 3/4 (sin.f64 (.f64 x 1/2)))))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) 3))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 x 1/2)) 3) (pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) 3)))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(expm1.f64 (log1p.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (.f64 3/4 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) (cos.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 3/4 (sin.f64 (*.f64 x 1/2))))) 1)
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(.f64 1 (/.f64 3/4 (sin.f64 (.f64 x 1/2))))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(.f64 3/4 (/.f64 1 (sin.f64 (.f64 x 1/2))))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2))) 1)
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(.f64 (sqrt.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(.f64 (cbrt.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (/.f64 9/16 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(.f64 (cbrt.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (/.f64 9/16 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(.f64 (cbrt.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (/.f64 9/16 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))))
(.f64 (cbrt.f64 (/.f64 9/16 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (cbrt.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (/.f64 9/16 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(.f64 (cbrt.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (/.f64 9/16 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))))
(.f64 (/.f64 1 (sin.f64 (.f64 x 1/2))) 3/4)
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(.f64 -1 (neg.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(.f64 -3/4 (/.f64 -1 (sin.f64 (.f64 x 1/2))))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 3/4 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 3/4 (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 3/4 (sqrt.f64 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (/.f64 3/4 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 3/4 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (.f64 x 1/2))))
(.f64 (/.f64 -1 (sin.f64 (.f64 x 1/2))) -3/4)
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 1 (.f64 1 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))) (sqrt.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (.f64 4/3 (sin.f64 (.f64 x 1/2))))))
(/.f64 (sqrt.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 9/16 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))) (cbrt.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (/.f64 9/16 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(.f64 (cbrt.f64 (/.f64 3/4 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (/.f64 9/16 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) 1)
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) 2)
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) 3)
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) -1)
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(sqrt.f64 (/.f64 9/16 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(sqrt.f64 (/.f64 9/16 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(sqrt.f64 (/.f64 9/16 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(log.f64 (exp.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) 3))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (sin.f64 (*.f64 x 1/2)))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 x 2/3) 1)
	0.46%	(*.f64 x 2/3)
✓	3.54%	(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	179	16
2	2314	16

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs

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

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

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1452×	`times-frac`
1086×	`fma-def`
820×	`+-commutative`
762×	`associate-/l*`
692×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	1879
1	399	1783
2	1569	1609
3	7832	1609

Stop Event

1×	node limit

Counts

113 → 106

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

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2%	(/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)

Compiler

Compiled 25 to 20 computations (20% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 x)
✓	0.18%	(*.f64 (sin.f64 x) 3/4)
✓	0.28%	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
	2.15%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 25 to 14 computations (44% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite73.0ms (0.7%)

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	38
1	230	28
2	3046	28

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

844×	`distribute-lft-neg-out`
664×	`unswap-sqr`
636×	`associate-*r/`
578×	`+-commutative`
518×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	2014
1	441	2014
2	1439	2014
3	5719	2014

Stop Event

1×	node limit

Counts

90 → 99

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 (-.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 (/.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 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)))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(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))))
(*.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 (pow.f64 x 3) -1/8 (*.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 (pow.f64 x 5) 1/160 (*.f64 x 3/4)))
(fma.f64 x 3/4 (fma.f64 (pow.f64 x 3) -1/8 (*.f64 (pow.f64 x 5) 1/160)))
(+.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 (pow.f64 x 5) 1/160 (*.f64 x 3/4))))
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 (pow.f64 x 5) 1/160 (fma.f64 x 3/4 (*.f64 (pow.f64 x 7) -1/6720))))
(*.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 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x))) (/.f64 4/3 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.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 (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 (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 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (-.f64 1 (cos.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 4/3 (tan.f64 (/.f64 x 2)))
(.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 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (-.f64 1 (cos.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 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (-.f64 1 (cos.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 4/3 (tan.f64 (/.f64 x 2)))
(.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 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (-.f64 1 (cos.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 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (-.f64 1 (cos.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 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (-.f64 1 (cos.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 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (-.f64 1 (cos.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)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (-.f64 1 (cos.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 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (-.f64 1 (cos.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 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 4/3 (sin.f64 x)))
(.f64 (/.f64 4/3 (sin.f64 x)) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (-.f64 1 (cos.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 (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)))
(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))
(*.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))
(*.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)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.31%	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
✓	0.6%	(.f64 (sin.f64 (.f64 x 1/2)) 4/3)

Compiler

Compiled 32 to 25 computations (21.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`*-commutative`
934×	`associate-/r*`
856×	`associate-/l*`
790×	`associate-*r/`
634×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	225	50
2	2743	50

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1060×	`unswap-sqr`
886×	`*-commutative`
838×	`associate-/r*`
664×	`times-frac`
604×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	216	3941
1	545	3739
2	2210	3739

Stop Event

1×	node limit

Counts

103 → 110

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (+.f64 (.f64 2/3 x) (.f64 -1/483840 (pow.f64 x 7)))))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 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 (sin.f64 (.f64 x 1/2)) 4/3))) 1)
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 1)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 3) 1/3)
(neg.f64 (.f64 (sin.f64 (.f64 x 1/2)) -4/3))
(sqrt.f64 (.f64 16/9 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))
(log.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) 3))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) 1)
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (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) (/.f64 1 (cos.f64 (.f64 x 1/2))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2)))) 1)
(.f64 1 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cos.f64 (.f64 x 1/2))))
(.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2))
(.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) -4/3) (/.f64 -1 (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) 4/3)
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cos.f64 (.f64 x 1/2))) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cos.f64 (.f64 x 1/2))) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cos.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cos.f64 (.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) 1))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) 4/3)) (/.f64 1 (sqrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 1 (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 1/2))) 4/3)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(.f64 (/.f64 4/3 (cos.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) 1))
(.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 (/.f64 4/3 (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))
(.f64 (/.f64 -1 (cos.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) -4/3))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (cos.f64 (.f64 x 1/2)))))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 1) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cbrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) 1) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (cos.f64 (.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) (sqrt.f64 (cos.f64 (.f64 x 1/2)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) (pow.f64 (cbrt.f64 (cos.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (cos.f64 (.f64 x 1/2)) 3/4)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2) (cos.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))
(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))) -4/3)
(.f64 (/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)) 2))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (cos.f64 (.f64 x 1/2)) 3/4)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))))) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 1)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3) 1/3)
(pow.f64 (.f64 (cos.f64 (.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) -1)
(neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cos.f64 (*.f64 x 1/2)) -3/4)))
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) -4/3) (cos.f64 (*.f64 x 1/2))))
(neg.f64 (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cos.f64 (.f64 x 1/2)) -3/4)) 1))
(neg.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) 4/3) (/.f64 -1 (cos.f64 (.f64 x 1/2)))))
(neg.f64 (.f64 1 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cos.f64 (.f64 x 1/2)) -3/4))))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2))
(log.f64 (exp.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 -1/36 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/2880 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/2880 (pow.f64 x 5)) (+.f64 (.f64 2/3 x) (.f64 -1/483840 (pow.f64 x 7)))))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/2880 (pow.f64 x 5) (fma.f64 2/3 x (*.f64 -1/483840 (pow.f64 x 7)))))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/2880 (pow.f64 x 5) (fma.f64 -1/483840 (pow.f64 x 7) (*.f64 2/3 x))))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(.f64 4/3 (sin.f64 (.f64 1/2 x)))
(.f64 4/3 (sin.f64 (.f64 x 1/2)))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 2/3 x))
(fma.f64 2/3 x (*.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 (pow.f64 x 5) 1/180 (*.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 (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 2/3 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (cos.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 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (cos.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 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (cos.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 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (cos.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 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (cos.f64 (.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
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(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (cos.f64 (.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (cos.f64 (.f64 x 1/2)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))

eval352.0ms (3.5%)

Compiler: Compiled 16675 to 13395 computations (19.7% saved)

prune161.0ms (1.6%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	858	6	864
Fresh	5	4	9
Picked	1	0	1
Done	2	7	9
Total	866	17	883

Error

Counts

883 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	46.65%	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
	0.35%	(/.f64 (/.f64 (sin.f64 (.f64 x 1/2)) 3/4) (cos.f64 (.f64 x 1/2)))
	68.74%	(/.f64 (-.f64 (.f64 (.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
✓	46.93%	(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
✓	46.68%	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
	0.23%	(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)
✓	49.23%	(/.f64 1 (/.f64 3/2 x))
✓	0.45%	(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
	48.86%	(/.f64 1 (+.f64 (.f64 -1/8 x) (.f64 3/2 (/.f64 1 x))))
	0.62%	(/.f64 1 (.f64 (/.f64 1 (tan.f64 (.f64 x 1/2))) 3/4))
✓	94.1%	(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
	95.83%	(-.f64 1 1)
	0.69%	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) 4/3)
	0.7%	(.f64 (/.f64 1 (cos.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) 4/3))
✓	0.65%	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
✓	49.3%	(*.f64 x 2/3)
	0.34%	(neg.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cos.f64 (*.f64 x 1/2)) -3/4)))

Compiler

Compiled 164 to 138 computations (15.9% saved)

regimes54.0ms (0.5%)

Counts

49 → 1

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	x
18.0ms	(/.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
0.23%	1	`x`
0.23%	1	`(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))`

Compiler

Compiled 546 to 399 computations (26.9% saved)

regimes8.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 x 2/3)
(-.f64 1 1)
(/.f64 1 (/.f64 3/2 x))
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(/.f64 1 (+.f64 (.f64 -1/8 x) (.f64 3/2 (/.f64 1 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(sqrt.f64 (.f64 x (.f64 x 4/9)))
(*.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
0.65%	1	`x`

Compiler

Compiled 57 to 45 computations (21.1% saved)

regimes7.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(/.f64 1 (+.f64 (.f64 -1/8 x) (.f64 3/2 (/.f64 1 x))))

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
48.86%	1	`x`

Compiler

Compiled 51 to 40 computations (21.6% saved)

regimes6.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 1 (/.f64 3/2 x))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
49.23%	1	`x`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes4.0ms (0%)

Accuracy

Total -30b remaining (-95.2%)

Threshold costs -30b (-95.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 x 2/3)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
49.3%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	89
1	36	89
2	40	89
3	43	89
4	44	89

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 1 (+.f64 (.f64 -1/8 x) (.f64 3/2 (/.f64 1 x))))
(/.f64 1 (+.f64 (.f64 x -1/8) (.f64 3/2 (/.f64 1 x))))
(/.f64 1 (/.f64 3/2 x))
(*.f64 x 2/3)

Compiler

Compiled 37 to 31 computations (16.2% saved)

soundness171.0ms (1.7%)

Algorithm

3×	egg-herbie

Rules

1010×	`associate-/r*`
1004×	`associate-/l/`
844×	`distribute-lft-neg-out`
680×	`associate-r`
664×	`unswap-sqr`

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	737	11290
1	1834	10022
2	7151	10022
0	174	2014
1	441	2014
2	1439	2014
3	5719	2014

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 150 to 111 computations (26% saved)

end32.0ms (0.3%)

Compiler: Compiled 33 to 27 computations (18.2% saved)